TSTP Solution File: HWV041-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV041-1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 02:11:36 EDT 2022
% Result : Unsatisfiable 38.68s 25.13s
% Output : Proof 42.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : HWV041-1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 31 22:24:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36 Usage: tptp [options] [-file:]file
% 0.14/0.36 -h, -? prints this message.
% 0.14/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.36 -m, -model generate model.
% 0.14/0.36 -p, -proof generate proof.
% 0.14/0.36 -c, -core generate unsat core of named formulas.
% 0.14/0.36 -st, -statistics display statistics.
% 0.14/0.36 -t:timeout set timeout (in second).
% 0.14/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36 -<param>:<value> configuration parameter and value.
% 0.14/0.36 -o:<output-file> file to place output in.
% 38.68/25.13 % SZS status Unsatisfiable
% 38.68/25.13 % SZS output start Proof
% 38.68/25.13 tff(v196_type, type, (
% 38.68/25.13 v196: $i > $o)).
% 38.68/25.13 tff(constB16_type, type, (
% 38.68/25.13 constB16: $i)).
% 38.68/25.13 tff(sK0_VarCurr_type, type, (
% 38.68/25.13 sK0_VarCurr: $i)).
% 38.68/25.13 tff(constB80_type, type, (
% 38.68/25.13 constB80: $i)).
% 38.68/25.13 tff(v86_type, type, (
% 38.68/25.13 v86: $i > $o)).
% 38.68/25.13 tff(constB33_type, type, (
% 38.68/25.13 constB33: $i)).
% 38.68/25.13 tff(constB83_type, type, (
% 38.68/25.13 constB83: $i)).
% 38.68/25.13 tff(v207_type, type, (
% 38.68/25.13 v207: $i > $o)).
% 38.68/25.13 tff(v206_type, type, (
% 38.68/25.13 v206: $i > $o)).
% 38.68/25.13 tff(v205_type, type, (
% 38.68/25.13 v205: $i > $o)).
% 38.68/25.13 tff(v209_type, type, (
% 38.68/25.13 v209: $i > $o)).
% 38.68/25.13 tff(v204_type, type, (
% 38.68/25.13 v204: $i > $o)).
% 38.68/25.13 tff(v148_type, type, (
% 38.68/25.13 v148: $i > $o)).
% 38.68/25.13 tff(v166_type, type, (
% 38.68/25.13 v166: $i > $o)).
% 38.68/25.13 tff(v167_type, type, (
% 38.68/25.13 v167: $i > $o)).
% 38.68/25.13 tff(v170_type, type, (
% 38.68/25.13 v170: $i > $o)).
% 38.68/25.13 tff(v140_type, type, (
% 38.68/25.13 v140: $i > $o)).
% 38.68/25.13 tff(v88_type, type, (
% 38.68/25.13 v88: ( $i * $i ) > $o)).
% 38.68/25.13 tff(bitIndex2_type, type, (
% 38.68/25.13 bitIndex2: $i)).
% 38.68/25.13 tff(v90_type, type, (
% 38.68/25.13 v90: ( $i * $i ) > $o)).
% 38.68/25.13 tff(constB82_type, type, (
% 38.68/25.13 constB82: $i)).
% 38.68/25.13 tff(v100_type, type, (
% 38.68/25.13 v100: $i > $o)).
% 38.68/25.13 tff(v110_type, type, (
% 38.68/25.13 v110: $i > $o)).
% 38.68/25.13 tff(v108_type, type, (
% 38.68/25.13 v108: $i > $o)).
% 38.68/25.13 tff(constB81_type, type, (
% 38.68/25.13 constB81: $i)).
% 38.68/25.13 tff(v112_type, type, (
% 38.68/25.13 v112: $i > $o)).
% 38.68/25.13 tff(v113_type, type, (
% 38.68/25.13 v113: $i > $o)).
% 38.68/25.13 tff(v114_type, type, (
% 38.68/25.13 v114: $i > $o)).
% 38.68/25.13 tff(v115_type, type, (
% 38.68/25.13 v115: $i > $o)).
% 38.68/25.13 tff(v123_type, type, (
% 38.68/25.13 v123: $i > $o)).
% 38.68/25.13 tff(constB79_type, type, (
% 38.68/25.13 constB79: $i)).
% 38.68/25.13 tff(v116_type, type, (
% 38.68/25.13 v116: $i > $o)).
% 38.68/25.13 tff(v122_type, type, (
% 38.68/25.13 v122: $i > $o)).
% 38.68/25.13 tff(constB78_type, type, (
% 38.68/25.13 constB78: $i)).
% 38.68/25.13 tff(constB77_type, type, (
% 38.68/25.13 constB77: $i)).
% 38.68/25.13 tff(v117_type, type, (
% 38.68/25.13 v117: $i > $o)).
% 38.68/25.13 tff(v121_type, type, (
% 38.68/25.13 v121: $i > $o)).
% 38.68/25.13 tff(constB76_type, type, (
% 38.68/25.13 constB76: $i)).
% 38.68/25.13 tff(constB75_type, type, (
% 38.68/25.13 constB75: $i)).
% 38.68/25.13 tff(v118_type, type, (
% 38.68/25.13 v118: $i > $o)).
% 38.68/25.13 tff(v120_type, type, (
% 38.68/25.13 v120: $i > $o)).
% 38.68/25.13 tff(constB74_type, type, (
% 38.68/25.13 constB74: $i)).
% 38.68/25.13 tff(constB73_type, type, (
% 38.68/25.13 constB73: $i)).
% 38.68/25.13 tff(v125_type, type, (
% 38.68/25.13 v125: $i > $o)).
% 38.68/25.13 tff(constB72_type, type, (
% 38.68/25.13 constB72: $i)).
% 38.68/25.13 tff(constB71_type, type, (
% 38.68/25.13 constB71: $i)).
% 38.68/25.13 tff(v124_type, type, (
% 38.68/25.13 v124: $i > $o)).
% 38.68/25.13 tff(constB70_type, type, (
% 38.68/25.13 constB70: $i)).
% 38.68/25.13 tff(constB69_type, type, (
% 38.68/25.13 constB69: $i)).
% 38.68/25.13 tff(constB68_type, type, (
% 38.68/25.13 constB68: $i)).
% 38.68/25.13 tff(constB67_type, type, (
% 38.68/25.13 constB67: $i)).
% 38.68/25.13 tff(constB66_type, type, (
% 38.68/25.13 constB66: $i)).
% 38.68/25.13 tff(v129_type, type, (
% 38.68/25.13 v129: ( $i * $i ) > $o)).
% 38.68/25.13 tff(v127_type, type, (
% 38.68/25.13 v127: ( $i * $i ) > $o)).
% 38.68/25.13 tff(constB65_type, type, (
% 38.68/25.13 constB65: $i)).
% 38.68/25.13 tff(v130_type, type, (
% 38.68/25.13 v130: ( $i * $i ) > $o)).
% 38.68/25.13 tff(bitIndex1_type, type, (
% 38.68/25.13 bitIndex1: $i)).
% 38.68/25.13 tff(constB64_type, type, (
% 38.68/25.13 constB64: $i)).
% 38.68/25.13 tff(constB63_type, type, (
% 38.68/25.13 constB63: $i)).
% 38.68/25.13 tff(constB62_type, type, (
% 38.68/25.13 constB62: $i)).
% 38.68/25.13 tff(constB61_type, type, (
% 38.68/25.13 constB61: $i)).
% 38.68/25.13 tff(constB60_type, type, (
% 38.68/25.13 constB60: $i)).
% 38.68/25.13 tff(constB59_type, type, (
% 38.68/25.13 constB59: $i)).
% 38.68/25.13 tff(constB58_type, type, (
% 38.68/25.13 constB58: $i)).
% 38.68/25.13 tff(v119_type, type, (
% 38.68/25.13 v119: $i > $o)).
% 38.68/25.13 tff(constB55_type, type, (
% 38.68/25.13 constB55: $i)).
% 38.68/25.13 tff(bitIndex0_type, type, (
% 38.68/25.13 bitIndex0: $i)).
% 38.68/25.13 tff(constB54_type, type, (
% 38.68/25.13 constB54: $i)).
% 38.68/25.13 tff(constB53_type, type, (
% 38.68/25.13 constB53: $i)).
% 38.68/25.13 tff(constB52_type, type, (
% 38.68/25.13 constB52: $i)).
% 38.68/25.13 tff(constB51_type, type, (
% 38.68/25.13 constB51: $i)).
% 38.68/25.13 tff(constB50_type, type, (
% 38.68/25.13 constB50: $i)).
% 38.68/25.13 tff(constB49_type, type, (
% 38.68/25.13 constB49: $i)).
% 38.68/25.13 tff(constB48_type, type, (
% 38.68/25.13 constB48: $i)).
% 38.68/25.13 tff(constB47_type, type, (
% 38.68/25.13 constB47: $i)).
% 38.68/25.13 tff(constB46_type, type, (
% 38.68/25.13 constB46: $i)).
% 38.68/25.13 tff(constB45_type, type, (
% 38.68/25.13 constB45: $i)).
% 38.68/25.13 tff(constB44_type, type, (
% 38.68/25.13 constB44: $i)).
% 38.68/25.13 tff(constB43_type, type, (
% 38.68/25.13 constB43: $i)).
% 38.68/25.13 tff(constB42_type, type, (
% 38.68/25.13 constB42: $i)).
% 38.68/25.13 tff(constB41_type, type, (
% 38.68/25.13 constB41: $i)).
% 38.68/25.13 tff(constB40_type, type, (
% 38.68/25.13 constB40: $i)).
% 38.68/25.13 tff(constB39_type, type, (
% 38.68/25.13 constB39: $i)).
% 38.68/25.13 tff(constB38_type, type, (
% 38.68/25.13 constB38: $i)).
% 38.68/25.13 tff(constB37_type, type, (
% 38.68/25.13 constB37: $i)).
% 38.68/25.13 tff(constB36_type, type, (
% 38.68/25.13 constB36: $i)).
% 38.68/25.13 tff(constB35_type, type, (
% 38.68/25.13 constB35: $i)).
% 38.68/25.13 tff(constB34_type, type, (
% 38.68/25.13 constB34: $i)).
% 38.68/25.13 tff(constB32_type, type, (
% 38.68/25.13 constB32: $i)).
% 38.68/25.13 tff(constB31_type, type, (
% 38.68/25.13 constB31: $i)).
% 38.68/25.13 tff(constB30_type, type, (
% 38.68/25.13 constB30: $i)).
% 38.68/25.13 tff(constB29_type, type, (
% 38.68/25.13 constB29: $i)).
% 38.68/25.13 tff(constB28_type, type, (
% 38.68/25.13 constB28: $i)).
% 38.68/25.13 tff(constB27_type, type, (
% 38.68/25.13 constB27: $i)).
% 38.68/25.13 tff(constB26_type, type, (
% 38.68/25.13 constB26: $i)).
% 38.68/25.13 tff(constB25_type, type, (
% 38.68/25.13 constB25: $i)).
% 38.68/25.13 tff(constB24_type, type, (
% 38.68/25.13 constB24: $i)).
% 38.68/25.13 tff(constB23_type, type, (
% 38.68/25.13 constB23: $i)).
% 38.68/25.13 tff(constB22_type, type, (
% 38.68/25.13 constB22: $i)).
% 38.68/25.13 tff(constB21_type, type, (
% 38.68/25.13 constB21: $i)).
% 38.68/25.13 tff(constB20_type, type, (
% 38.68/25.13 constB20: $i)).
% 38.68/25.13 tff(constB19_type, type, (
% 38.68/25.13 constB19: $i)).
% 38.68/25.13 tff(v26_type, type, (
% 38.68/25.13 v26: $i > $o)).
% 38.68/25.13 tff(constB18_type, type, (
% 38.68/25.13 constB18: $i)).
% 38.68/25.13 tff(constB17_type, type, (
% 38.68/25.13 constB17: $i)).
% 38.68/25.13 tff(constB15_type, type, (
% 38.68/25.13 constB15: $i)).
% 38.68/25.13 tff(constB14_type, type, (
% 38.68/25.13 constB14: $i)).
% 38.68/25.13 tff(constB13_type, type, (
% 38.68/25.13 constB13: $i)).
% 38.68/25.13 tff(constB12_type, type, (
% 38.68/25.13 constB12: $i)).
% 38.68/25.13 tff(constB11_type, type, (
% 38.68/25.13 constB11: $i)).
% 38.68/25.13 tff(constB10_type, type, (
% 38.68/25.13 constB10: $i)).
% 38.68/25.13 tff(constB9_type, type, (
% 38.68/25.13 constB9: $i)).
% 38.68/25.13 tff(constB5_type, type, (
% 38.68/25.13 constB5: $i)).
% 38.68/25.13 tff(constB4_type, type, (
% 38.68/25.13 constB4: $i)).
% 38.68/25.13 tff(constB3_type, type, (
% 38.68/25.13 constB3: $i)).
% 38.68/25.13 tff(constB2_type, type, (
% 38.68/25.13 constB2: $i)).
% 38.68/25.13 tff(constB1_type, type, (
% 38.68/25.13 constB1: $i)).
% 38.68/25.13 tff(v101_type, type, (
% 38.68/25.13 v101: $i > $o)).
% 38.68/25.13 tff(v1_type, type, (
% 38.68/25.13 v1: $i > $o)).
% 38.68/25.13 tff(nextState_type, type, (
% 38.68/25.13 nextState: ( $i * $i ) > $o)).
% 38.68/25.13 tff(constB0_type, type, (
% 38.68/25.13 constB0: $i)).
% 38.68/25.13 tff(v102_type, type, (
% 38.68/25.13 v102: $i > $o)).
% 38.68/25.13 tff(v104_type, type, (
% 38.68/25.13 v104: $i > $o)).
% 38.68/25.13 tff(constB7_type, type, (
% 38.68/25.13 constB7: $i)).
% 38.68/25.13 tff(constB8_type, type, (
% 38.68/25.13 constB8: $i)).
% 38.68/25.13 tff(constB6_type, type, (
% 38.68/25.13 constB6: $i)).
% 38.68/25.13 tff(constB57_type, type, (
% 38.68/25.13 constB57: $i)).
% 38.68/25.13 tff(constB56_type, type, (
% 38.68/25.13 constB56: $i)).
% 38.68/25.13 tff(v139_type, type, (
% 38.68/25.13 v139: $i > $o)).
% 38.68/25.13 tff(v141_type, type, (
% 38.68/25.13 v141: $i > $o)).
% 38.68/25.13 tff(v142_type, type, (
% 38.68/25.13 v142: $i > $o)).
% 38.68/25.13 tff(v143_type, type, (
% 38.68/25.13 v143: $i > $o)).
% 38.68/25.13 tff(v144_type, type, (
% 38.68/25.13 v144: $i > $o)).
% 38.68/25.13 tff(v165_type, type, (
% 38.68/25.13 v165: $i > $o)).
% 38.68/25.13 tff(v145_type, type, (
% 38.68/25.13 v145: $i > $o)).
% 38.68/25.13 tff(v147_type, type, (
% 38.68/25.13 v147: $i > $o)).
% 38.68/25.13 tff(v180_type, type, (
% 38.68/25.13 v180: $i > $o)).
% 38.68/25.13 tff(v178_type, type, (
% 38.68/25.13 v178: $i > $o)).
% 38.68/25.13 tff(v181_type, type, (
% 38.68/25.13 v181: $i > $o)).
% 38.68/25.13 tff(v185_type, type, (
% 38.68/25.13 v185: $i > $o)).
% 38.68/25.13 tff(v187_type, type, (
% 38.68/25.13 v187: $i > $o)).
% 38.68/25.13 tff(v162_type, type, (
% 38.68/25.13 v162: $i > $o)).
% 38.68/25.13 tff(v169_type, type, (
% 38.68/25.13 v169: $i > $o)).
% 38.68/25.13 tff(v183_type, type, (
% 38.68/25.13 v183: $i > $o)).
% 38.68/25.13 tff(v184_type, type, (
% 38.68/25.13 v184: $i > $o)).
% 38.68/25.13 tff(v9_type, type, (
% 38.68/25.13 v9: $i > $o)).
% 38.68/25.13 tff(v13_type, type, (
% 38.68/25.13 v13: $i > $o)).
% 38.68/25.13 tff(v19_type, type, (
% 38.68/25.13 v19: $i > $o)).
% 38.68/25.13 tff(v18_type, type, (
% 38.68/25.13 v18: $i > $o)).
% 38.68/25.13 tff(v22_type, type, (
% 38.68/25.13 v22: $i > $o)).
% 38.68/25.13 tff(constB119_type, type, (
% 38.68/25.13 constB119: $i)).
% 38.68/25.13 tff(constB118_type, type, (
% 38.68/25.13 constB118: $i)).
% 38.68/25.13 tff(constB117_type, type, (
% 38.68/25.13 constB117: $i)).
% 38.68/25.13 tff(constB116_type, type, (
% 38.68/25.13 constB116: $i)).
% 38.68/25.13 tff(constB115_type, type, (
% 38.68/25.13 constB115: $i)).
% 38.68/25.13 tff(constB114_type, type, (
% 38.68/25.13 constB114: $i)).
% 38.68/25.13 tff(constB113_type, type, (
% 38.68/25.13 constB113: $i)).
% 38.68/25.13 tff(constB112_type, type, (
% 38.68/25.13 constB112: $i)).
% 38.68/25.13 tff(constB111_type, type, (
% 38.68/25.13 constB111: $i)).
% 38.68/25.13 tff(constB110_type, type, (
% 38.68/25.13 constB110: $i)).
% 38.68/25.13 tff(constB109_type, type, (
% 38.68/25.13 constB109: $i)).
% 38.68/25.13 tff(constB108_type, type, (
% 38.68/25.13 constB108: $i)).
% 38.68/25.13 tff(constB107_type, type, (
% 38.68/25.13 constB107: $i)).
% 38.68/25.13 tff(constB106_type, type, (
% 38.68/25.13 constB106: $i)).
% 38.68/25.13 tff(constB105_type, type, (
% 38.68/25.13 constB105: $i)).
% 38.68/25.13 tff(constB104_type, type, (
% 38.68/25.13 constB104: $i)).
% 38.68/25.13 tff(constB103_type, type, (
% 38.68/25.13 constB103: $i)).
% 38.68/25.13 tff(constB102_type, type, (
% 38.68/25.13 constB102: $i)).
% 38.68/25.13 tff(constB101_type, type, (
% 38.68/25.13 constB101: $i)).
% 38.68/25.13 tff(constB100_type, type, (
% 38.68/25.13 constB100: $i)).
% 38.68/25.13 tff(constB99_type, type, (
% 38.68/25.13 constB99: $i)).
% 38.68/25.13 tff(constB98_type, type, (
% 38.68/25.13 constB98: $i)).
% 38.68/25.13 tff(constB97_type, type, (
% 38.68/25.13 constB97: $i)).
% 38.68/25.13 tff(constB96_type, type, (
% 38.68/25.13 constB96: $i)).
% 38.68/25.13 tff(constB95_type, type, (
% 38.68/25.13 constB95: $i)).
% 38.68/25.13 tff(constB94_type, type, (
% 38.68/25.13 constB94: $i)).
% 38.68/25.13 tff(constB93_type, type, (
% 38.68/25.13 constB93: $i)).
% 38.68/25.13 tff(constB92_type, type, (
% 38.68/25.13 constB92: $i)).
% 38.68/25.13 tff(constB91_type, type, (
% 38.68/25.13 constB91: $i)).
% 38.68/25.13 tff(constB90_type, type, (
% 38.68/25.13 constB90: $i)).
% 38.68/25.13 tff(constB89_type, type, (
% 38.68/25.13 constB89: $i)).
% 38.68/25.13 tff(constB88_type, type, (
% 38.68/25.13 constB88: $i)).
% 38.68/25.13 tff(constB87_type, type, (
% 38.68/25.13 constB87: $i)).
% 38.68/25.13 tff(constB86_type, type, (
% 38.68/25.13 constB86: $i)).
% 38.68/25.13 tff(constB85_type, type, (
% 38.68/25.13 constB85: $i)).
% 38.68/25.13 tff(constB84_type, type, (
% 38.68/25.13 constB84: $i)).
% 38.68/25.13 tff(v146_type, type, (
% 38.68/25.13 v146: $i > $o)).
% 38.68/25.13 tff(constB165_type, type, (
% 38.68/25.13 constB165: $i)).
% 38.68/25.13 tff(constB164_type, type, (
% 38.68/25.13 constB164: $i)).
% 38.68/25.13 tff(constB163_type, type, (
% 38.68/25.13 constB163: $i)).
% 38.68/25.13 tff(constB162_type, type, (
% 38.68/25.13 constB162: $i)).
% 38.68/25.13 tff(constB161_type, type, (
% 38.68/25.13 constB161: $i)).
% 38.68/25.13 tff(constB159_type, type, (
% 38.68/25.13 constB159: $i)).
% 38.68/25.13 tff(constB158_type, type, (
% 38.68/25.13 constB158: $i)).
% 38.68/25.13 tff(constB157_type, type, (
% 38.68/25.13 constB157: $i)).
% 38.68/25.13 tff(constB156_type, type, (
% 38.68/25.13 constB156: $i)).
% 38.68/25.13 tff(constB155_type, type, (
% 38.68/25.13 constB155: $i)).
% 38.68/25.13 tff(constB153_type, type, (
% 38.68/25.13 constB153: $i)).
% 38.68/25.13 tff(constB151_type, type, (
% 38.68/25.13 constB151: $i)).
% 38.68/25.13 tff(constB149_type, type, (
% 38.68/25.13 constB149: $i)).
% 38.68/25.13 tff(constB147_type, type, (
% 38.68/25.13 constB147: $i)).
% 38.68/25.13 tff(constB143_type, type, (
% 38.68/25.13 constB143: $i)).
% 38.68/25.13 tff(constB139_type, type, (
% 38.68/25.13 constB139: $i)).
% 38.68/25.13 tff(constB137_type, type, (
% 38.68/25.13 constB137: $i)).
% 38.68/25.13 tff(constB136_type, type, (
% 38.68/25.13 constB136: $i)).
% 38.68/25.13 tff(constB135_type, type, (
% 38.68/25.13 constB135: $i)).
% 38.68/25.13 tff(constB134_type, type, (
% 38.68/25.13 constB134: $i)).
% 38.68/25.13 tff(constB133_type, type, (
% 38.68/25.13 constB133: $i)).
% 38.68/25.13 tff(constB132_type, type, (
% 38.68/25.13 constB132: $i)).
% 38.68/25.13 tff(constB131_type, type, (
% 38.68/25.13 constB131: $i)).
% 38.68/25.13 tff(constB127_type, type, (
% 38.68/25.13 constB127: $i)).
% 38.68/25.13 tff(constB126_type, type, (
% 38.68/25.13 constB126: $i)).
% 38.68/25.13 tff(constB125_type, type, (
% 38.68/25.13 constB125: $i)).
% 38.68/25.13 tff(constB124_type, type, (
% 38.68/25.13 constB124: $i)).
% 38.68/25.13 tff(constB123_type, type, (
% 38.68/25.13 constB123: $i)).
% 38.68/25.13 tff(constB122_type, type, (
% 38.68/25.13 constB122: $i)).
% 38.68/25.13 tff(constB121_type, type, (
% 38.68/25.13 constB121: $i)).
% 38.68/25.13 tff(constB120_type, type, (
% 38.68/25.13 constB120: $i)).
% 38.68/25.13 tff(v60_type, type, (
% 38.68/25.13 v60: $i > $o)).
% 38.68/25.13 tff(v66_type, type, (
% 38.68/25.13 v66: $i > $o)).
% 38.68/25.13 tff(v64_type, type, (
% 38.68/25.13 v64: $i > $o)).
% 38.68/25.13 tff(v74_type, type, (
% 38.68/25.13 v74: $i > $o)).
% 38.68/25.13 tff(v72_type, type, (
% 38.68/25.13 v72: $i > $o)).
% 38.68/25.13 tff(v71_type, type, (
% 38.68/25.13 v71: $i > $o)).
% 38.68/25.13 tff(v76_type, type, (
% 38.68/25.13 v76: $i > $o)).
% 38.68/25.13 tff(v80_type, type, (
% 38.68/25.13 v80: $i > $o)).
% 38.68/25.13 tff(v78_type, type, (
% 38.68/25.13 v78: $i > $o)).
% 38.68/25.13 tff(constB130_type, type, (
% 38.68/25.13 constB130: $i)).
% 38.68/25.13 tff(constB129_type, type, (
% 38.68/25.13 constB129: $i)).
% 38.68/25.13 tff(constB128_type, type, (
% 38.68/25.13 constB128: $i)).
% 38.68/25.13 tff(constB138_type, type, (
% 38.68/25.13 constB138: $i)).
% 38.68/25.13 tff(constB142_type, type, (
% 38.68/25.13 constB142: $i)).
% 38.68/25.13 tff(constB141_type, type, (
% 38.68/25.13 constB141: $i)).
% 38.68/25.13 tff(constB140_type, type, (
% 38.68/25.13 constB140: $i)).
% 38.68/25.13 tff(constB145_type, type, (
% 38.68/25.13 constB145: $i)).
% 38.68/25.13 tff(constB144_type, type, (
% 38.68/25.13 constB144: $i)).
% 38.68/25.13 tff(constB146_type, type, (
% 38.68/25.13 constB146: $i)).
% 38.68/25.13 tff(constB148_type, type, (
% 38.68/25.13 constB148: $i)).
% 38.68/25.13 tff(constB150_type, type, (
% 38.68/25.13 constB150: $i)).
% 38.68/25.13 tff(constB152_type, type, (
% 38.68/25.13 constB152: $i)).
% 38.68/25.13 tff(constB154_type, type, (
% 38.68/25.13 constB154: $i)).
% 38.68/25.13 tff(constB160_type, type, (
% 38.68/25.13 constB160: $i)).
% 38.68/25.13 tff(constB186_type, type, (
% 38.68/25.13 constB186: $i)).
% 38.68/25.13 tff(v194_type, type, (
% 38.68/25.13 v194: $i > $o)).
% 38.68/25.13 tff(v197_type, type, (
% 38.68/25.13 v197: $i > $o)).
% 38.68/25.13 tff(v198_type, type, (
% 38.68/25.13 v198: $i > $o)).
% 38.68/25.13 tff(v199_type, type, (
% 38.68/25.13 v199: $i > $o)).
% 38.68/25.13 tff(v200_type, type, (
% 38.68/25.13 v200: $i > $o)).
% 38.68/25.13 tff(constB197_type, type, (
% 38.68/25.13 constB197: $i)).
% 38.68/25.13 tff(constB196_type, type, (
% 38.68/25.13 constB196: $i)).
% 38.68/25.13 tff(constB195_type, type, (
% 38.68/25.13 constB195: $i)).
% 38.68/25.13 tff(constB194_type, type, (
% 38.68/25.13 constB194: $i)).
% 38.68/25.13 tff(constB193_type, type, (
% 38.68/25.13 constB193: $i)).
% 38.68/25.13 tff(constB192_type, type, (
% 38.68/25.13 constB192: $i)).
% 38.68/25.13 tff(constB191_type, type, (
% 38.68/25.13 constB191: $i)).
% 38.68/25.13 tff(constB190_type, type, (
% 38.68/25.13 constB190: $i)).
% 38.68/25.13 tff(constB189_type, type, (
% 38.68/25.13 constB189: $i)).
% 38.68/25.13 tff(constB188_type, type, (
% 38.68/25.13 constB188: $i)).
% 38.68/25.13 tff(constB187_type, type, (
% 38.68/25.13 constB187: $i)).
% 38.68/25.13 tff(constB185_type, type, (
% 38.68/25.13 constB185: $i)).
% 38.68/25.13 tff(constB184_type, type, (
% 38.68/25.13 constB184: $i)).
% 38.68/25.13 tff(constB183_type, type, (
% 38.68/25.13 constB183: $i)).
% 38.68/25.13 tff(constB182_type, type, (
% 38.68/25.13 constB182: $i)).
% 38.68/25.13 tff(constB181_type, type, (
% 38.68/25.13 constB181: $i)).
% 38.68/25.13 tff(constB180_type, type, (
% 38.68/25.13 constB180: $i)).
% 38.68/25.13 tff(constB179_type, type, (
% 38.68/25.13 constB179: $i)).
% 38.68/25.13 tff(constB178_type, type, (
% 38.68/25.13 constB178: $i)).
% 38.68/25.13 tff(constB177_type, type, (
% 38.68/25.13 constB177: $i)).
% 38.68/25.13 tff(constB176_type, type, (
% 38.68/25.13 constB176: $i)).
% 38.68/25.13 tff(constB175_type, type, (
% 38.68/25.13 constB175: $i)).
% 38.68/25.13 tff(constB171_type, type, (
% 38.68/25.13 constB171: $i)).
% 38.68/25.13 tff(constB170_type, type, (
% 38.68/25.13 constB170: $i)).
% 38.68/25.13 tff(constB169_type, type, (
% 38.68/25.13 constB169: $i)).
% 38.68/25.13 tff(constB168_type, type, (
% 38.68/25.13 constB168: $i)).
% 38.68/25.13 tff(constB167_type, type, (
% 38.68/25.13 constB167: $i)).
% 38.68/25.13 tff(constB166_type, type, (
% 38.68/25.13 constB166: $i)).
% 38.68/25.13 tff(constB173_type, type, (
% 38.68/25.13 constB173: $i)).
% 38.68/25.13 tff(constB172_type, type, (
% 38.68/25.13 constB172: $i)).
% 38.68/25.13 tff(constB174_type, type, (
% 38.68/25.13 constB174: $i)).
% 38.68/25.13 tff(constB198_type, type, (
% 38.68/25.13 constB198: $i)).
% 38.68/25.13 tff(constB200_type, type, (
% 38.68/25.13 constB200: $i)).
% 38.68/25.13 tff(constB199_type, type, (
% 38.68/25.13 constB199: $i)).
% 38.68/25.13 tff(reachableState_type, type, (
% 38.68/25.13 reachableState: $i > $o)).
% 38.68/25.13 tff(1,assumption,(constB80 = sK0_VarCurr), introduced(assumption)).
% 38.68/25.13 tff(2,plain,
% 38.68/25.13 (v196(constB80) <=> v196(sK0_VarCurr)),
% 38.68/25.13 inference(monotonicity,[status(thm)],[1])).
% 38.68/25.13 tff(3,plain,
% 38.68/25.13 (v196(sK0_VarCurr) <=> v196(constB80)),
% 38.68/25.13 inference(symmetry,[status(thm)],[2])).
% 38.68/25.13 tff(4,assumption,(~v196(sK0_VarCurr)), introduced(assumption)).
% 38.68/25.13 tff(5,assumption,(v209(sK0_VarCurr)), introduced(assumption)).
% 38.68/25.13 tff(6,plain,
% 38.68/25.13 (^[VarCurr: $i] : refl((v196(VarCurr) | (~v209(VarCurr))) <=> (v196(VarCurr) | (~v209(VarCurr))))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(7,plain,
% 38.68/25.13 (![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr))) <=> ![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr)))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[6])).
% 38.68/25.13 tff(8,plain,
% 38.68/25.13 (![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr))) <=> ![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(9,axiom,(![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_57_1_1_1_2')).
% 38.68/25.13 tff(10,plain,
% 38.68/25.13 (![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[9, 8])).
% 38.68/25.13 tff(11,plain,(
% 38.68/25.13 ![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr)))),
% 38.68/25.13 inference(skolemize,[status(sab)],[10])).
% 38.68/25.13 tff(12,plain,
% 38.68/25.13 (![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[11, 7])).
% 38.68/25.13 tff(13,plain,
% 38.68/25.13 (((~![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr)))) | (v196(sK0_VarCurr) | (~v209(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr)))) | v196(sK0_VarCurr) | (~v209(sK0_VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(14,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr)))) | (v196(sK0_VarCurr) | (~v209(sK0_VarCurr)))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(15,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (v196(VarCurr) | (~v209(VarCurr)))) | v196(sK0_VarCurr) | (~v209(sK0_VarCurr))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[14, 13])).
% 38.68/25.13 tff(16,plain,
% 38.68/25.13 ($false),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[15, 12, 5, 4])).
% 38.68/25.13 tff(17,plain,((~v209(sK0_VarCurr)) | v196(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 38.68/25.13 tff(18,plain,
% 38.68/25.13 (~v209(sK0_VarCurr)),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[17, 4])).
% 38.68/25.13 tff(19,plain,
% 38.68/25.13 (v204(sK0_VarCurr) <=> v204(sK0_VarCurr)),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(20,axiom,(v204(sK0_VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 38.68/25.13 tff(21,plain,
% 38.68/25.13 (v204(sK0_VarCurr)),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[20, 19])).
% 38.68/25.13 tff(22,plain,
% 38.68/25.13 (^[VarCurr: $i] : refl((v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr))) <=> (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr))))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(23,plain,
% 38.68/25.13 (![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr))) <=> ![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[22])).
% 38.68/25.13 tff(24,plain,
% 38.68/25.13 (![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr))) <=> ![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(25,plain,
% 38.68/25.13 (^[VarCurr: $i] : trans(monotonicity(rewrite((v209(VarCurr) | v205(VarCurr)) <=> (v205(VarCurr) | v209(VarCurr))), (((v209(VarCurr) | v205(VarCurr)) | (~v204(VarCurr))) <=> ((v205(VarCurr) | v209(VarCurr)) | (~v204(VarCurr))))), rewrite(((v205(VarCurr) | v209(VarCurr)) | (~v204(VarCurr))) <=> (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))), (((v209(VarCurr) | v205(VarCurr)) | (~v204(VarCurr))) <=> (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(26,plain,
% 38.68/25.13 (![VarCurr: $i] : ((v209(VarCurr) | v205(VarCurr)) | (~v204(VarCurr))) <=> ![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[25])).
% 38.68/25.13 tff(27,axiom,(![VarCurr: $i] : ((v209(VarCurr) | v205(VarCurr)) | (~v204(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_58_1_1_1')).
% 38.68/25.13 tff(28,plain,
% 38.68/25.13 (![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[27, 26])).
% 38.68/25.13 tff(29,plain,
% 38.68/25.13 (![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[28, 24])).
% 38.68/25.13 tff(30,plain,(
% 38.68/25.13 ![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 38.68/25.13 inference(skolemize,[status(sab)],[29])).
% 38.68/25.13 tff(31,plain,
% 38.68/25.13 (![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[30, 23])).
% 38.68/25.13 tff(32,plain,
% 38.68/25.13 (((~![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))) | (v205(sK0_VarCurr) | v209(sK0_VarCurr) | (~v204(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))) | v205(sK0_VarCurr) | v209(sK0_VarCurr) | (~v204(sK0_VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(33,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))) | (v205(sK0_VarCurr) | v209(sK0_VarCurr) | (~v204(sK0_VarCurr)))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(34,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))) | v205(sK0_VarCurr) | v209(sK0_VarCurr) | (~v204(sK0_VarCurr))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[33, 32])).
% 38.68/25.13 tff(35,plain,
% 38.68/25.13 (v205(sK0_VarCurr) | v209(sK0_VarCurr)),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[34, 31, 21])).
% 38.68/25.13 tff(36,plain,
% 38.68/25.13 (v205(sK0_VarCurr)),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[35, 18])).
% 38.68/25.13 tff(37,plain,
% 38.68/25.13 (^[VarCurr: $i] : refl((v206(VarCurr) | (~v205(VarCurr))) <=> (v206(VarCurr) | (~v205(VarCurr))))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(38,plain,
% 38.68/25.13 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[37])).
% 38.68/25.13 tff(39,plain,
% 38.68/25.13 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(40,axiom,(![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_56_1_1_1_1')).
% 38.68/25.13 tff(41,plain,
% 38.68/25.13 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[40, 39])).
% 38.68/25.13 tff(42,plain,(
% 38.68/25.13 ![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 38.68/25.13 inference(skolemize,[status(sab)],[41])).
% 38.68/25.13 tff(43,plain,
% 38.68/25.13 (![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[42, 38])).
% 38.68/25.13 tff(44,plain,
% 38.68/25.13 (((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(45,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(46,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK0_VarCurr) | (~v205(sK0_VarCurr))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[45, 44])).
% 38.68/25.13 tff(47,plain,
% 38.68/25.13 (v206(sK0_VarCurr)),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[46, 43, 36])).
% 38.68/25.13 tff(48,plain,
% 38.68/25.13 (^[VarCurr: $i] : refl((v207(VarCurr) | (~v206(VarCurr))) <=> (v207(VarCurr) | (~v206(VarCurr))))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(49,plain,
% 38.68/25.13 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[48])).
% 38.68/25.13 tff(50,plain,
% 38.68/25.13 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(51,axiom,(![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_55_1_1_1_1')).
% 38.68/25.13 tff(52,plain,
% 38.68/25.13 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[51, 50])).
% 38.68/25.13 tff(53,plain,(
% 38.68/25.13 ![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 38.68/25.13 inference(skolemize,[status(sab)],[52])).
% 38.68/25.13 tff(54,plain,
% 38.68/25.13 (![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[53, 49])).
% 38.68/25.13 tff(55,plain,
% 38.68/25.13 (((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(56,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(57,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK0_VarCurr) | (~v206(sK0_VarCurr))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[56, 55])).
% 38.68/25.13 tff(58,plain,
% 38.68/25.13 (v207(sK0_VarCurr)),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[57, 54, 47])).
% 38.68/25.13 tff(59,plain,
% 38.68/25.13 (^[VarCurr: $i] : refl(((~v86(VarCurr)) | (~v207(VarCurr))) <=> ((~v86(VarCurr)) | (~v207(VarCurr))))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(60,plain,
% 38.68/25.13 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr))) <=> ![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[59])).
% 38.68/25.13 tff(61,plain,
% 38.68/25.13 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr))) <=> ![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(62,axiom,(![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_1_2')).
% 38.68/25.13 tff(63,plain,
% 38.68/25.13 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[62, 61])).
% 38.68/25.13 tff(64,plain,(
% 38.68/25.13 ![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))),
% 38.68/25.13 inference(skolemize,[status(sab)],[63])).
% 38.68/25.13 tff(65,plain,
% 38.68/25.13 (![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[64, 60])).
% 38.68/25.13 tff(66,plain,
% 38.68/25.13 (((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | ((~v207(sK0_VarCurr)) | (~v86(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | (~v207(sK0_VarCurr)) | (~v86(sK0_VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(67,plain,
% 38.68/25.13 (((~v86(sK0_VarCurr)) | (~v207(sK0_VarCurr))) <=> ((~v207(sK0_VarCurr)) | (~v86(sK0_VarCurr)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(68,plain,
% 38.68/25.13 (((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | ((~v86(sK0_VarCurr)) | (~v207(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | ((~v207(sK0_VarCurr)) | (~v86(sK0_VarCurr))))),
% 38.68/25.13 inference(monotonicity,[status(thm)],[67])).
% 38.68/25.13 tff(69,plain,
% 38.68/25.13 (((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | ((~v86(sK0_VarCurr)) | (~v207(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | (~v207(sK0_VarCurr)) | (~v86(sK0_VarCurr)))),
% 38.68/25.13 inference(transitivity,[status(thm)],[68, 66])).
% 38.68/25.13 tff(70,plain,
% 38.68/25.13 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | ((~v86(sK0_VarCurr)) | (~v207(sK0_VarCurr)))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(71,plain,
% 38.68/25.13 ((~![VarCurr: $i] : ((~v86(VarCurr)) | (~v207(VarCurr)))) | (~v207(sK0_VarCurr)) | (~v86(sK0_VarCurr))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[70, 69])).
% 38.68/25.13 tff(72,plain,
% 38.68/25.13 (~v86(sK0_VarCurr)),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[71, 65, 58])).
% 38.68/25.13 tff(73,assumption,(constB83 = sK0_VarCurr), introduced(assumption)).
% 38.68/25.13 tff(74,plain,
% 38.68/25.13 (v86(constB83) <=> v86(sK0_VarCurr)),
% 38.68/25.13 inference(monotonicity,[status(thm)],[73])).
% 38.68/25.13 tff(75,plain,
% 38.68/25.13 (v86(sK0_VarCurr) <=> v86(constB83)),
% 38.68/25.13 inference(symmetry,[status(thm)],[74])).
% 38.68/25.13 tff(76,plain,
% 38.68/25.13 ((~v86(sK0_VarCurr)) <=> (~v86(constB83))),
% 38.68/25.13 inference(monotonicity,[status(thm)],[75])).
% 38.68/25.13 tff(77,assumption,(~v86(sK0_VarCurr)), introduced(assumption)).
% 38.68/25.13 tff(78,plain,
% 38.68/25.13 (~v86(constB83)),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[77, 76])).
% 38.68/25.13 tff(79,assumption,(v26(constB19)), introduced(assumption)).
% 38.68/25.13 tff(80,plain,
% 38.68/25.13 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(81,plain,
% 38.68/25.13 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[80])).
% 38.68/25.13 tff(82,plain,
% 38.68/25.13 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(83,axiom,(![VarCurr: $i] : (~v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 38.68/25.13 tff(84,plain,
% 38.68/25.13 (![VarCurr: $i] : (~v26(VarCurr))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[83, 82])).
% 38.68/25.13 tff(85,plain,(
% 38.68/25.13 ![VarCurr: $i] : (~v26(VarCurr))),
% 38.68/25.13 inference(skolemize,[status(sab)],[84])).
% 38.68/25.13 tff(86,plain,
% 38.68/25.13 (![VarCurr: $i] : (~v26(VarCurr))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[85, 81])).
% 38.68/25.13 tff(87,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(88,plain,
% 38.68/25.13 ($false),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[87, 86, 79])).
% 38.68/25.13 tff(89,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 38.68/25.13 tff(90,assumption,(v26(constB17)), introduced(assumption)).
% 38.68/25.13 tff(91,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(92,plain,
% 38.68/25.13 ($false),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[91, 86, 90])).
% 38.68/25.13 tff(93,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 38.68/25.13 tff(94,assumption,(v26(constB15)), introduced(assumption)).
% 38.68/25.13 tff(95,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(96,plain,
% 38.68/25.13 ($false),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[95, 86, 94])).
% 38.68/25.13 tff(97,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 38.68/25.13 tff(98,assumption,(v26(constB13)), introduced(assumption)).
% 38.68/25.13 tff(99,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(100,plain,
% 38.68/25.13 ($false),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[99, 86, 98])).
% 38.68/25.13 tff(101,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 38.68/25.13 tff(102,assumption,(v26(constB11)), introduced(assumption)).
% 38.68/25.13 tff(103,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(104,plain,
% 38.68/25.13 ($false),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[103, 86, 102])).
% 38.68/25.13 tff(105,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 38.68/25.13 tff(106,assumption,(v26(constB9)), introduced(assumption)).
% 38.68/25.13 tff(107,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(108,plain,
% 38.68/25.13 ($false),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[107, 86, 106])).
% 38.68/25.13 tff(109,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 38.68/25.13 tff(110,assumption,(v26(constB3)), introduced(assumption)).
% 38.68/25.13 tff(111,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(112,plain,
% 38.68/25.13 ($false),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[111, 86, 110])).
% 38.68/25.13 tff(113,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 38.68/25.13 tff(114,assumption,(v26(constB1)), introduced(assumption)).
% 38.68/25.13 tff(115,plain,
% 38.68/25.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(116,plain,
% 38.68/25.13 ($false),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[115, 86, 114])).
% 38.68/25.13 tff(117,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 38.68/25.13 tff(118,plain,
% 38.68/25.13 ((~v1(constB1)) <=> (~v1(constB1))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(119,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 38.68/25.13 tff(120,plain,
% 38.68/25.13 (~v1(constB1)),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[119, 118])).
% 38.68/25.13 tff(121,plain,
% 38.68/25.13 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(122,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_200')).
% 38.68/25.13 tff(123,plain,
% 38.68/25.13 (nextState(constB0, constB1)),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[122, 121])).
% 38.68/25.13 tff(124,plain,
% 38.68/25.13 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(125,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[124])).
% 38.68/25.13 tff(126,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(127,plain,
% 38.68/25.13 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(128,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[127])).
% 38.68/25.13 tff(129,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 38.68/25.13 tff(130,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[129, 128])).
% 38.68/25.13 tff(131,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[130, 126])).
% 38.68/25.13 tff(132,plain,(
% 38.68/25.13 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 38.68/25.13 inference(skolemize,[status(sab)],[131])).
% 38.68/25.13 tff(133,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[132, 125])).
% 38.68/25.13 tff(134,plain,
% 38.68/25.13 (((~![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)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(135,plain,
% 38.68/25.13 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(136,plain,
% 38.68/25.13 (((~![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))))),
% 38.68/25.13 inference(monotonicity,[status(thm)],[135])).
% 38.68/25.13 tff(137,plain,
% 38.68/25.13 (((~![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)))),
% 38.68/25.13 inference(transitivity,[status(thm)],[136, 134])).
% 38.68/25.13 tff(138,plain,
% 38.68/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(139,plain,
% 38.68/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[138, 137])).
% 38.68/25.13 tff(140,plain,
% 38.68/25.13 (~v101(constB1)),
% 38.68/25.13 inference(unit_resolution,[status(thm)],[139, 133, 123, 120])).
% 38.68/25.13 tff(141,plain,
% 38.68/25.13 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(142,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[141])).
% 38.68/25.13 tff(143,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(144,plain,
% 38.68/25.13 (^[VarNext: $i, VarCurr: $i] : rewrite(((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 38.68/25.13 inference(bind,[status(th)],[])).
% 38.68/25.13 tff(145,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 38.68/25.13 inference(quant_intro,[status(thm)],[144])).
% 38.68/25.13 tff(146,axiom,(![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 38.68/25.13 tff(147,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[146, 145])).
% 38.68/25.13 tff(148,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[147, 143])).
% 38.68/25.13 tff(149,plain,(
% 38.68/25.13 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 38.68/25.13 inference(skolemize,[status(sab)],[148])).
% 38.68/25.13 tff(150,plain,
% 38.68/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[149, 142])).
% 38.68/25.13 tff(151,plain,
% 38.68/25.13 (((~![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)))),
% 38.68/25.13 inference(rewrite,[status(thm)],[])).
% 38.68/25.13 tff(152,plain,
% 38.68/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 38.68/25.13 inference(quant_inst,[status(thm)],[])).
% 38.68/25.13 tff(153,plain,
% 38.68/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 38.68/25.13 inference(modus_ponens,[status(thm)],[152, 151])).
% 38.68/25.13 tff(154,plain,
% 38.68/25.13 (v101(constB1) | (~v100(constB1))),
% 38.70/25.13 inference(unit_resolution,[status(thm)],[153, 150, 123])).
% 38.70/25.13 tff(155,plain,
% 38.70/25.13 (~v100(constB1)),
% 38.70/25.13 inference(unit_resolution,[status(thm)],[154, 140])).
% 38.70/25.13 tff(156,plain,
% 38.70/25.13 (^[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))))),
% 38.70/25.13 inference(bind,[status(th)],[])).
% 38.70/25.13 tff(157,plain,
% 38.70/25.13 (![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)))),
% 38.70/25.13 inference(quant_intro,[status(thm)],[156])).
% 38.70/25.13 tff(158,plain,
% 38.70/25.13 (![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)))),
% 38.70/25.13 inference(rewrite,[status(thm)],[])).
% 38.70/25.13 tff(159,plain,
% 38.70/25.13 (^[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)))))),
% 38.70/25.13 inference(bind,[status(th)],[])).
% 38.70/25.13 tff(160,plain,
% 38.70/25.13 (![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)))),
% 38.70/25.13 inference(quant_intro,[status(thm)],[159])).
% 38.70/25.13 tff(161,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 38.70/25.13 tff(162,plain,
% 38.70/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 38.70/25.13 inference(modus_ponens,[status(thm)],[161, 160])).
% 38.70/25.13 tff(163,plain,
% 38.70/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 38.70/25.13 inference(modus_ponens,[status(thm)],[162, 158])).
% 38.70/25.13 tff(164,plain,(
% 38.70/25.13 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 38.70/25.13 inference(skolemize,[status(sab)],[163])).
% 38.70/25.13 tff(165,plain,
% 38.70/25.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 38.70/25.13 inference(modus_ponens,[status(thm)],[164, 157])).
% 38.70/25.13 tff(166,plain,
% 38.70/25.13 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 38.70/25.13 inference(rewrite,[status(thm)],[])).
% 38.70/25.13 tff(167,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 38.70/25.14 tff(168,plain,
% 38.70/25.14 (~v90(constB0, bitIndex2)),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[167, 166])).
% 38.70/25.14 tff(169,plain,
% 38.70/25.14 (((~![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)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(170,plain,
% 38.70/25.14 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2))) <=> (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(171,plain,
% 38.70/25.14 (((~![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))))),
% 38.70/25.14 inference(monotonicity,[status(thm)],[170])).
% 38.70/25.14 tff(172,plain,
% 38.70/25.14 (((~![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)))),
% 38.70/25.14 inference(transitivity,[status(thm)],[171, 169])).
% 38.70/25.14 tff(173,plain,
% 38.70/25.14 ((~![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)))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(174,plain,
% 38.70/25.14 ((~![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))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[173, 172])).
% 38.70/25.14 tff(175,plain,
% 38.70/25.14 (v100(constB1) | (~v90(constB1, bitIndex2))),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[174, 168, 165, 123])).
% 38.70/25.14 tff(176,plain,
% 38.70/25.14 (~v90(constB1, bitIndex2)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[175, 155])).
% 38.70/25.14 tff(177,plain,
% 38.70/25.14 (^[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))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(178,plain,
% 38.70/25.14 (![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)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[177])).
% 38.70/25.14 tff(179,plain,
% 38.70/25.14 (![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)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(180,plain,
% 38.70/25.14 (^[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)))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(181,plain,
% 38.70/25.14 (![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)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[180])).
% 38.70/25.14 tff(182,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 38.70/25.14 tff(183,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[182, 181])).
% 38.70/25.14 tff(184,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[183, 179])).
% 38.70/25.14 tff(185,plain,(
% 38.70/25.14 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 38.70/25.14 inference(skolemize,[status(sab)],[184])).
% 38.70/25.14 tff(186,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[185, 178])).
% 38.70/25.14 tff(187,plain,
% 38.70/25.14 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(188,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 38.70/25.14 tff(189,plain,
% 38.70/25.14 (~v90(constB0, bitIndex1)),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[188, 187])).
% 38.70/25.14 tff(190,plain,
% 38.70/25.14 (((~![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)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(191,plain,
% 38.70/25.14 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1))) <=> (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(192,plain,
% 38.70/25.14 (((~![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))))),
% 38.70/25.14 inference(monotonicity,[status(thm)],[191])).
% 38.70/25.14 tff(193,plain,
% 38.70/25.14 (((~![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)))),
% 38.70/25.14 inference(transitivity,[status(thm)],[192, 190])).
% 38.70/25.14 tff(194,plain,
% 38.70/25.14 ((~![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)))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(195,plain,
% 38.70/25.14 ((~![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))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[194, 193])).
% 38.70/25.14 tff(196,plain,
% 38.70/25.14 (v100(constB1) | (~v90(constB1, bitIndex1))),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[195, 189, 186, 123])).
% 38.70/25.14 tff(197,plain,
% 38.70/25.14 (~v90(constB1, bitIndex1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[196, 155])).
% 38.70/25.14 tff(198,plain,
% 38.70/25.14 (^[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))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(199,plain,
% 38.70/25.14 (![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)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[198])).
% 38.70/25.14 tff(200,plain,
% 38.70/25.14 (![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)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(201,plain,
% 38.70/25.14 (^[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)))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(202,plain,
% 38.70/25.14 (![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)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[201])).
% 38.70/25.14 tff(203,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 38.70/25.14 tff(204,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[203, 202])).
% 38.70/25.14 tff(205,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[204, 200])).
% 38.70/25.14 tff(206,plain,(
% 38.70/25.14 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 38.70/25.14 inference(skolemize,[status(sab)],[205])).
% 38.70/25.14 tff(207,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[206, 199])).
% 38.70/25.14 tff(208,plain,
% 38.70/25.14 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(209,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 38.70/25.14 tff(210,plain,
% 38.70/25.14 (~v90(constB0, bitIndex0)),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[209, 208])).
% 38.70/25.14 tff(211,plain,
% 38.70/25.14 (((~![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)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(212,plain,
% 38.70/25.14 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0))) <=> (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(213,plain,
% 38.70/25.14 (((~![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))))),
% 38.70/25.14 inference(monotonicity,[status(thm)],[212])).
% 38.70/25.14 tff(214,plain,
% 38.70/25.14 (((~![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)))),
% 38.70/25.14 inference(transitivity,[status(thm)],[213, 211])).
% 38.70/25.14 tff(215,plain,
% 38.70/25.14 ((~![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)))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(216,plain,
% 38.70/25.14 ((~![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))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[215, 214])).
% 38.70/25.14 tff(217,plain,
% 38.70/25.14 (v100(constB1) | (~v90(constB1, bitIndex0))),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[216, 210, 207, 123])).
% 38.70/25.14 tff(218,plain,
% 38.70/25.14 (~v90(constB1, bitIndex0)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[217, 155])).
% 38.70/25.14 tff(219,plain,
% 38.70/25.14 (^[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)))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(220,plain,
% 38.70/25.14 (![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))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[219])).
% 38.70/25.14 tff(221,plain,
% 38.70/25.14 (![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))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(222,plain,
% 38.70/25.14 (^[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))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(223,plain,
% 38.70/25.14 (![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))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[222])).
% 38.70/25.14 tff(224,axiom,(![VarCurr: $i] : (((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 38.70/25.14 tff(225,plain,
% 38.70/25.14 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[224, 223])).
% 38.70/25.14 tff(226,plain,
% 38.70/25.14 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[225, 221])).
% 38.70/25.14 tff(227,plain,(
% 38.70/25.14 ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 38.70/25.14 inference(skolemize,[status(sab)],[226])).
% 38.70/25.14 tff(228,plain,
% 38.70/25.14 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[227, 220])).
% 38.70/25.14 tff(229,plain,
% 38.70/25.14 (((~![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))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(230,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(231,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[230, 229])).
% 38.70/25.14 tff(232,plain,
% 38.70/25.14 (v119(constB1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[231, 228, 218, 197, 176])).
% 38.70/25.14 tff(233,plain,
% 38.70/25.14 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v119(VarCurr))) <=> (v118(VarCurr) | (~v119(VarCurr))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(234,plain,
% 38.70/25.14 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[233])).
% 38.70/25.14 tff(235,plain,
% 38.70/25.14 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(236,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 38.70/25.14 tff(237,plain,
% 38.70/25.14 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[236, 235])).
% 38.70/25.14 tff(238,plain,(
% 38.70/25.14 ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 38.70/25.14 inference(skolemize,[status(sab)],[237])).
% 38.70/25.14 tff(239,plain,
% 38.70/25.14 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[238, 234])).
% 38.70/25.14 tff(240,plain,
% 38.70/25.14 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(241,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(242,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[241, 240])).
% 38.70/25.14 tff(243,plain,
% 38.70/25.14 (v118(constB1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[242, 239, 232])).
% 38.70/25.14 tff(244,plain,
% 38.70/25.14 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v118(VarCurr))) <=> (v117(VarCurr) | (~v118(VarCurr))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(245,plain,
% 38.70/25.14 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[244])).
% 38.70/25.14 tff(246,plain,
% 38.70/25.14 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(247,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 38.70/25.14 tff(248,plain,
% 38.70/25.14 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[247, 246])).
% 38.70/25.14 tff(249,plain,(
% 38.70/25.14 ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 38.70/25.14 inference(skolemize,[status(sab)],[248])).
% 38.70/25.14 tff(250,plain,
% 38.70/25.14 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[249, 245])).
% 38.70/25.14 tff(251,plain,
% 38.70/25.14 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(252,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(253,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[252, 251])).
% 38.70/25.14 tff(254,plain,
% 38.70/25.14 (v117(constB1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[253, 250, 243])).
% 38.70/25.14 tff(255,plain,
% 38.70/25.14 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v117(VarCurr))) <=> (v116(VarCurr) | (~v117(VarCurr))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(256,plain,
% 38.70/25.14 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[255])).
% 38.70/25.14 tff(257,plain,
% 38.70/25.14 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(258,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 38.70/25.14 tff(259,plain,
% 38.70/25.14 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[258, 257])).
% 38.70/25.14 tff(260,plain,(
% 38.70/25.14 ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 38.70/25.14 inference(skolemize,[status(sab)],[259])).
% 38.70/25.14 tff(261,plain,
% 38.70/25.14 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[260, 256])).
% 38.70/25.14 tff(262,plain,
% 38.70/25.14 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(263,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(264,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[263, 262])).
% 38.70/25.14 tff(265,plain,
% 38.70/25.14 (v116(constB1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[264, 261, 254])).
% 38.70/25.14 tff(266,plain,
% 38.70/25.14 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v116(VarCurr))) <=> (v115(VarCurr) | (~v116(VarCurr))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(267,plain,
% 38.70/25.14 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[266])).
% 38.70/25.14 tff(268,plain,
% 38.70/25.14 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(269,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 38.70/25.14 tff(270,plain,
% 38.70/25.14 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[269, 268])).
% 38.70/25.14 tff(271,plain,(
% 38.70/25.14 ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 38.70/25.14 inference(skolemize,[status(sab)],[270])).
% 38.70/25.14 tff(272,plain,
% 38.70/25.14 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[271, 267])).
% 38.70/25.14 tff(273,plain,
% 38.70/25.14 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(274,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(275,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[274, 273])).
% 38.70/25.14 tff(276,plain,
% 38.70/25.14 (v115(constB1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[275, 272, 265])).
% 38.70/25.14 tff(277,plain,
% 38.70/25.14 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v115(VarCurr))) <=> (v114(VarCurr) | (~v115(VarCurr))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(278,plain,
% 38.70/25.14 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[277])).
% 38.70/25.14 tff(279,plain,
% 38.70/25.14 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(280,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 38.70/25.14 tff(281,plain,
% 38.70/25.14 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[280, 279])).
% 38.70/25.14 tff(282,plain,(
% 38.70/25.14 ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 38.70/25.14 inference(skolemize,[status(sab)],[281])).
% 38.70/25.14 tff(283,plain,
% 38.70/25.14 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[282, 278])).
% 38.70/25.14 tff(284,plain,
% 38.70/25.14 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(285,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(286,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[285, 284])).
% 38.70/25.14 tff(287,plain,
% 38.70/25.14 (v114(constB1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[286, 283, 276])).
% 38.70/25.14 tff(288,plain,
% 38.70/25.14 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v114(VarCurr))) <=> (v113(VarCurr) | (~v114(VarCurr))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(289,plain,
% 38.70/25.14 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[288])).
% 38.70/25.14 tff(290,plain,
% 38.70/25.14 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(291,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 38.70/25.14 tff(292,plain,
% 38.70/25.14 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[291, 290])).
% 38.70/25.14 tff(293,plain,(
% 38.70/25.14 ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 38.70/25.14 inference(skolemize,[status(sab)],[292])).
% 38.70/25.14 tff(294,plain,
% 38.70/25.14 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[293, 289])).
% 38.70/25.14 tff(295,plain,
% 38.70/25.14 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(296,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(297,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[296, 295])).
% 38.70/25.14 tff(298,plain,
% 38.70/25.14 (v113(constB1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[297, 294, 287])).
% 38.70/25.14 tff(299,plain,
% 38.70/25.14 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(300,plain,
% 38.70/25.14 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[299])).
% 38.70/25.14 tff(301,plain,
% 38.70/25.14 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(302,plain,
% 38.70/25.14 (^[VarCurr: $i] : rewrite(((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(303,plain,
% 38.70/25.14 (![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[302])).
% 38.70/25.14 tff(304,axiom,(![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 38.70/25.14 tff(305,plain,
% 38.70/25.14 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[304, 303])).
% 38.70/25.14 tff(306,plain,
% 38.70/25.14 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[305, 301])).
% 38.70/25.14 tff(307,plain,(
% 38.70/25.14 ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 38.70/25.14 inference(skolemize,[status(sab)],[306])).
% 38.70/25.14 tff(308,plain,
% 38.70/25.14 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[307, 300])).
% 38.70/25.14 tff(309,plain,
% 38.70/25.14 (((~![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))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(310,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(311,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[310, 309])).
% 38.70/25.14 tff(312,plain,
% 38.70/25.14 (v26(constB1) | v112(constB1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[311, 308, 298])).
% 38.70/25.14 tff(313,plain,
% 38.70/25.14 (v112(constB1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[312, 117])).
% 38.70/25.14 tff(314,plain,
% 38.70/25.14 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v112(VarCurr))) <=> (v108(VarCurr) | (~v112(VarCurr))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(315,plain,
% 38.70/25.14 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[314])).
% 38.70/25.14 tff(316,plain,
% 38.70/25.14 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(317,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 38.70/25.14 tff(318,plain,
% 38.70/25.14 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[317, 316])).
% 38.70/25.14 tff(319,plain,(
% 38.70/25.14 ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 38.70/25.14 inference(skolemize,[status(sab)],[318])).
% 38.70/25.14 tff(320,plain,
% 38.70/25.14 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[319, 315])).
% 38.70/25.14 tff(321,plain,
% 38.70/25.14 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(322,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(323,plain,
% 38.70/25.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[322, 321])).
% 38.70/25.14 tff(324,plain,
% 38.70/25.14 (v108(constB1)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[323, 320, 313])).
% 38.70/25.14 tff(325,plain,
% 38.70/25.14 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(326,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 38.70/25.14 tff(327,plain,
% 38.70/25.14 (nextState(constB1, constB2)),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[326, 325])).
% 38.70/25.14 tff(328,plain,
% 38.70/25.14 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(329,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[328])).
% 38.70/25.14 tff(330,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(331,plain,
% 38.70/25.14 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.14 tff(332,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 38.70/25.14 inference(quant_intro,[status(thm)],[331])).
% 38.70/25.14 tff(333,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 38.70/25.14 tff(334,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[333, 332])).
% 38.70/25.14 tff(335,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[334, 330])).
% 38.70/25.14 tff(336,plain,(
% 38.70/25.14 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 38.70/25.14 inference(skolemize,[status(sab)],[335])).
% 38.70/25.14 tff(337,plain,
% 38.70/25.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[336, 329])).
% 38.70/25.14 tff(338,plain,
% 38.70/25.14 (((~![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)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(339,plain,
% 38.70/25.14 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 38.70/25.14 inference(rewrite,[status(thm)],[])).
% 38.70/25.14 tff(340,plain,
% 38.70/25.14 (((~![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))))),
% 38.70/25.14 inference(monotonicity,[status(thm)],[339])).
% 38.70/25.14 tff(341,plain,
% 38.70/25.14 (((~![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)))),
% 38.70/25.14 inference(transitivity,[status(thm)],[340, 338])).
% 38.70/25.14 tff(342,plain,
% 38.70/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 38.70/25.14 inference(quant_inst,[status(thm)],[])).
% 38.70/25.14 tff(343,plain,
% 38.70/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 38.70/25.14 inference(modus_ponens,[status(thm)],[342, 341])).
% 38.70/25.14 tff(344,plain,
% 38.70/25.14 (v110(constB2) | (~v108(constB1))),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[343, 337, 327])).
% 38.70/25.14 tff(345,plain,
% 38.70/25.14 (v110(constB2)),
% 38.70/25.14 inference(unit_resolution,[status(thm)],[344, 324])).
% 38.70/25.14 tff(346,plain,
% 38.70/25.14 (^[VarNext: $i, VarCurr: $i] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 38.70/25.14 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(347,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[346])).
% 38.70/25.15 tff(348,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(349,plain,
% 38.70/25.15 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(350,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[349])).
% 38.70/25.15 tff(351,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 38.70/25.15 tff(352,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[351, 350])).
% 38.70/25.15 tff(353,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[352, 348])).
% 38.70/25.15 tff(354,plain,(
% 38.70/25.15 ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 38.70/25.15 inference(skolemize,[status(sab)],[353])).
% 38.70/25.15 tff(355,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[354, 347])).
% 38.70/25.15 tff(356,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(357,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(358,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[357, 356])).
% 38.70/25.15 tff(359,plain,
% 38.70/25.15 (~v104(constB2)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[358, 355, 327, 120])).
% 38.70/25.15 tff(360,plain,
% 38.70/25.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(361,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[360])).
% 38.70/25.15 tff(362,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(363,plain,
% 38.70/25.15 (^[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))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(364,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[363])).
% 38.70/25.15 tff(365,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 38.70/25.15 tff(366,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[365, 364])).
% 38.70/25.15 tff(367,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[366, 362])).
% 38.70/25.15 tff(368,plain,(
% 38.70/25.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 38.70/25.15 inference(skolemize,[status(sab)],[367])).
% 38.70/25.15 tff(369,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[368, 361])).
% 38.70/25.15 tff(370,plain,
% 38.70/25.15 (((~![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))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(371,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(372,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[371, 370])).
% 38.70/25.15 tff(373,plain,
% 38.70/25.15 (v102(constB2) | v104(constB2)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[372, 369, 327])).
% 38.70/25.15 tff(374,plain,
% 38.70/25.15 (v102(constB2)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[373, 359])).
% 38.70/25.15 tff(375,plain,
% 38.70/25.15 (v1(constB2) <=> v1(constB2)),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(376,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 38.70/25.15 tff(377,plain,
% 38.70/25.15 (v1(constB2)),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[376, 375])).
% 38.70/25.15 tff(378,plain,
% 38.70/25.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(379,plain,
% 38.70/25.15 (![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)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[378])).
% 38.70/25.15 tff(380,plain,
% 38.70/25.15 (![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)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(381,plain,
% 38.70/25.15 (^[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)))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(382,plain,
% 38.70/25.15 (![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)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[381])).
% 38.70/25.15 tff(383,axiom,(![VarNext: $i, VarCurr: $i] : (((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 38.70/25.15 tff(384,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[383, 382])).
% 38.70/25.15 tff(385,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[384, 380])).
% 38.70/25.15 tff(386,plain,(
% 38.70/25.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 38.70/25.15 inference(skolemize,[status(sab)],[385])).
% 38.70/25.15 tff(387,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[386, 379])).
% 38.70/25.15 tff(388,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(389,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(390,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[389, 388])).
% 38.70/25.15 tff(391,plain,
% 38.70/25.15 (v101(constB2) | (~v102(constB2))),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[390, 387, 327, 377])).
% 38.70/25.15 tff(392,plain,
% 38.70/25.15 (v101(constB2)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[391, 374])).
% 38.70/25.15 tff(393,plain,
% 38.70/25.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(394,plain,
% 38.70/25.15 (![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))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[393])).
% 38.70/25.15 tff(395,plain,
% 38.70/25.15 (![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))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(396,plain,
% 38.70/25.15 (^[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))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(397,plain,
% 38.70/25.15 (![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))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[396])).
% 38.70/25.15 tff(398,axiom,(![VarNext: $i, VarCurr: $i] : (((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 38.70/25.15 tff(399,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[398, 397])).
% 38.70/25.15 tff(400,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[399, 395])).
% 38.70/25.15 tff(401,plain,(
% 38.70/25.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 38.70/25.15 inference(skolemize,[status(sab)],[400])).
% 38.70/25.15 tff(402,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[401, 394])).
% 38.70/25.15 tff(403,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(404,plain,
% 38.70/25.15 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(405,plain,
% 38.70/25.15 (((~![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))))),
% 38.70/25.15 inference(monotonicity,[status(thm)],[404])).
% 38.70/25.15 tff(406,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(transitivity,[status(thm)],[405, 403])).
% 38.70/25.15 tff(407,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(408,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[407, 406])).
% 38.70/25.15 tff(409,plain,
% 38.70/25.15 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[408, 402, 327])).
% 38.70/25.15 tff(410,plain,
% 38.70/25.15 (v100(constB2) | (~v110(constB2))),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[409, 392])).
% 38.70/25.15 tff(411,plain,
% 38.70/25.15 (v100(constB2)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[410, 345])).
% 38.70/25.15 tff(412,plain,
% 38.70/25.15 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(413,plain,
% 38.70/25.15 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[412])).
% 38.70/25.15 tff(414,plain,
% 38.70/25.15 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(415,plain,
% 38.70/25.15 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(416,plain,
% 38.70/25.15 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[415])).
% 38.70/25.15 tff(417,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_3')).
% 38.70/25.15 tff(418,plain,
% 38.70/25.15 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[417, 416])).
% 38.70/25.15 tff(419,plain,
% 38.70/25.15 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[418, 414])).
% 38.70/25.15 tff(420,plain,(
% 38.70/25.15 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(skolemize,[status(sab)],[419])).
% 38.70/25.15 tff(421,plain,
% 38.70/25.15 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[420, 413])).
% 38.70/25.15 tff(422,plain,
% 38.70/25.15 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB1)) | (~v130(constB1, bitIndex2)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(423,plain,
% 38.70/25.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex2)))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(424,plain,
% 38.70/25.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB1)) | (~v130(constB1, bitIndex2))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[423, 422])).
% 38.70/25.15 tff(425,plain,
% 38.70/25.15 (~v130(constB1, bitIndex2)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[424, 421, 232])).
% 38.70/25.15 tff(426,plain,
% 38.70/25.15 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(427,plain,
% 38.70/25.15 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[426])).
% 38.70/25.15 tff(428,plain,
% 38.70/25.15 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(429,plain,
% 38.70/25.15 (^[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)))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(430,plain,
% 38.70/25.15 (![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[429])).
% 38.70/25.15 tff(431,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 38.70/25.15 tff(432,plain,
% 38.70/25.15 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[431, 430])).
% 38.70/25.15 tff(433,plain,
% 38.70/25.15 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[432, 428])).
% 38.70/25.15 tff(434,plain,(
% 38.70/25.15 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(skolemize,[status(sab)],[433])).
% 38.70/25.15 tff(435,plain,
% 38.70/25.15 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[434, 427])).
% 38.70/25.15 tff(436,plain,
% 38.70/25.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(437,plain,
% 38.70/25.15 ((v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2))) <=> ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(438,plain,
% 38.70/25.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2)))),
% 38.70/25.15 inference(monotonicity,[status(thm)],[437])).
% 38.70/25.15 tff(439,plain,
% 38.70/25.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 38.70/25.15 inference(transitivity,[status(thm)],[438, 436])).
% 38.70/25.15 tff(440,plain,
% 38.70/25.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(441,plain,
% 38.70/25.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2)),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[440, 439])).
% 38.70/25.15 tff(442,plain,
% 38.70/25.15 ((~v127(constB1, bitIndex2)) | v26(constB1)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[441, 435, 425])).
% 38.70/25.15 tff(443,plain,
% 38.70/25.15 (~v127(constB1, bitIndex2)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[442, 117])).
% 38.70/25.15 tff(444,plain,
% 38.70/25.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(445,plain,
% 38.70/25.15 (![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)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[444])).
% 38.70/25.15 tff(446,plain,
% 38.70/25.15 (![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)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(447,plain,
% 38.70/25.15 (^[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)))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(448,plain,
% 38.70/25.15 (![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)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[447])).
% 38.70/25.15 tff(449,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 38.70/25.15 tff(450,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[449, 448])).
% 38.70/25.15 tff(451,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[450, 446])).
% 38.70/25.15 tff(452,plain,(
% 38.70/25.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 38.70/25.15 inference(skolemize,[status(sab)],[451])).
% 38.70/25.15 tff(453,plain,
% 38.70/25.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[452, 445])).
% 38.70/25.15 tff(454,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(455,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(456,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[455, 454])).
% 38.70/25.15 tff(457,plain,
% 38.70/25.15 (v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2))),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[456, 453, 327])).
% 38.70/25.15 tff(458,plain,
% 38.70/25.15 (~v129(constB2, bitIndex2)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[457, 443])).
% 38.70/25.15 tff(459,plain,
% 38.70/25.15 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(460,plain,
% 38.70/25.15 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[459])).
% 38.70/25.15 tff(461,plain,
% 38.70/25.15 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(462,plain,
% 38.70/25.15 (^[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))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(463,plain,
% 38.70/25.15 (![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[462])).
% 38.70/25.15 tff(464,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 38.70/25.15 tff(465,plain,
% 38.70/25.15 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[464, 463])).
% 38.70/25.15 tff(466,plain,
% 38.70/25.15 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[465, 461])).
% 38.70/25.15 tff(467,plain,(
% 38.70/25.15 ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 38.70/25.15 inference(skolemize,[status(sab)],[466])).
% 38.70/25.15 tff(468,plain,
% 38.70/25.15 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[467, 460])).
% 38.70/25.15 tff(469,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(470,plain,
% 38.70/25.15 (((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2)) <=> ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(471,plain,
% 38.70/25.15 (((~![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))))),
% 38.70/25.15 inference(monotonicity,[status(thm)],[470])).
% 38.70/25.15 tff(472,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(transitivity,[status(thm)],[471, 469])).
% 38.70/25.15 tff(473,plain,
% 38.70/25.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(474,plain,
% 38.70/25.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[473, 472])).
% 38.70/25.15 tff(475,plain,
% 38.70/25.15 ((~v90(constB2, bitIndex2)) | (~v100(constB2))),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[474, 468, 458])).
% 38.70/25.15 tff(476,plain,
% 38.70/25.15 (~v90(constB2, bitIndex2)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[475, 411])).
% 38.70/25.15 tff(477,plain,
% 38.70/25.15 ((~v1(constB3)) <=> (~v1(constB3))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(478,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 38.70/25.15 tff(479,plain,
% 38.70/25.15 (~v1(constB3)),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[478, 477])).
% 38.70/25.15 tff(480,plain,
% 38.70/25.15 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(481,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 38.70/25.15 tff(482,plain,
% 38.70/25.15 (nextState(constB2, constB3)),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[481, 480])).
% 38.70/25.15 tff(483,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(484,plain,
% 38.70/25.15 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(485,plain,
% 38.70/25.15 (((~![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))))),
% 38.70/25.15 inference(monotonicity,[status(thm)],[484])).
% 38.70/25.15 tff(486,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(transitivity,[status(thm)],[485, 483])).
% 38.70/25.15 tff(487,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(488,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[487, 486])).
% 38.70/25.15 tff(489,plain,
% 38.70/25.15 (~v101(constB3)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[488, 133, 482, 479])).
% 38.70/25.15 tff(490,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(491,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(492,plain,
% 38.70/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[491, 490])).
% 38.70/25.15 tff(493,plain,
% 38.70/25.15 (v101(constB3) | (~v100(constB3))),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[492, 150, 482])).
% 38.70/25.15 tff(494,plain,
% 38.70/25.15 (~v100(constB3)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[493, 489])).
% 38.70/25.15 tff(495,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(496,plain,
% 38.70/25.15 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2))) <=> (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(497,plain,
% 38.70/25.15 (((~![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))))),
% 38.70/25.15 inference(monotonicity,[status(thm)],[496])).
% 38.70/25.15 tff(498,plain,
% 38.70/25.15 (((~![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)))),
% 38.70/25.15 inference(transitivity,[status(thm)],[497, 495])).
% 38.70/25.15 tff(499,plain,
% 38.70/25.15 ((~![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)))),
% 38.70/25.15 inference(quant_inst,[status(thm)],[])).
% 38.70/25.15 tff(500,plain,
% 38.70/25.15 ((~![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))),
% 38.70/25.15 inference(modus_ponens,[status(thm)],[499, 498])).
% 38.70/25.15 tff(501,plain,
% 38.70/25.15 (v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2))),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[500, 165, 482])).
% 38.70/25.15 tff(502,plain,
% 38.70/25.15 (v90(constB2, bitIndex2) | (~v90(constB3, bitIndex2))),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[501, 494])).
% 38.70/25.15 tff(503,plain,
% 38.70/25.15 (~v90(constB3, bitIndex2)),
% 38.70/25.15 inference(unit_resolution,[status(thm)],[502, 476])).
% 38.70/25.15 tff(504,plain,
% 38.70/25.15 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(505,plain,
% 38.70/25.15 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[504])).
% 38.70/25.15 tff(506,plain,
% 38.70/25.15 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.70/25.15 inference(rewrite,[status(thm)],[])).
% 38.70/25.15 tff(507,plain,
% 38.70/25.15 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 38.70/25.15 inference(bind,[status(th)],[])).
% 38.70/25.15 tff(508,plain,
% 38.70/25.15 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.70/25.15 inference(quant_intro,[status(thm)],[507])).
% 38.70/25.15 tff(509,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_2')).
% 38.70/25.16 tff(510,plain,
% 38.70/25.16 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[509, 508])).
% 38.70/25.16 tff(511,plain,
% 38.70/25.16 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[510, 506])).
% 38.70/25.16 tff(512,plain,(
% 38.70/25.16 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(skolemize,[status(sab)],[511])).
% 38.70/25.16 tff(513,plain,
% 38.70/25.16 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[512, 505])).
% 38.70/25.16 tff(514,plain,
% 38.70/25.16 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(515,plain,
% 38.70/25.16 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 38.70/25.16 inference(quant_inst,[status(thm)],[])).
% 38.70/25.16 tff(516,plain,
% 38.70/25.16 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[515, 514])).
% 38.70/25.16 tff(517,plain,
% 38.70/25.16 (~v130(constB1, bitIndex1)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[516, 513, 232])).
% 38.70/25.16 tff(518,plain,
% 38.70/25.16 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(519,plain,
% 38.70/25.16 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[518])).
% 38.70/25.16 tff(520,plain,
% 38.70/25.16 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(521,plain,
% 38.70/25.16 (^[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)))))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(522,plain,
% 38.70/25.16 (![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[521])).
% 38.70/25.16 tff(523,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 38.70/25.16 tff(524,plain,
% 38.70/25.16 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[523, 522])).
% 38.70/25.16 tff(525,plain,
% 38.70/25.16 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[524, 520])).
% 38.70/25.16 tff(526,plain,(
% 38.70/25.16 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(skolemize,[status(sab)],[525])).
% 38.70/25.16 tff(527,plain,
% 38.70/25.16 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[526, 519])).
% 38.70/25.16 tff(528,plain,
% 38.70/25.16 (((~![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))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(529,plain,
% 38.70/25.16 ((v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1))) <=> ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(530,plain,
% 38.70/25.16 (((~![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)))),
% 38.70/25.16 inference(monotonicity,[status(thm)],[529])).
% 38.70/25.16 tff(531,plain,
% 38.70/25.16 (((~![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))),
% 38.70/25.16 inference(transitivity,[status(thm)],[530, 528])).
% 38.70/25.16 tff(532,plain,
% 38.70/25.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))),
% 38.70/25.16 inference(quant_inst,[status(thm)],[])).
% 38.70/25.16 tff(533,plain,
% 38.70/25.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[532, 531])).
% 38.70/25.16 tff(534,plain,
% 38.70/25.16 ((~v127(constB1, bitIndex1)) | v26(constB1)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[533, 527, 517])).
% 38.70/25.16 tff(535,plain,
% 38.70/25.16 (~v127(constB1, bitIndex1)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[534, 117])).
% 38.70/25.16 tff(536,plain,
% 38.70/25.16 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(537,plain,
% 38.70/25.16 (![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)))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[536])).
% 38.70/25.16 tff(538,plain,
% 38.70/25.16 (![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)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(539,plain,
% 38.70/25.16 (^[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)))))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(540,plain,
% 38.70/25.16 (![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)))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[539])).
% 38.70/25.16 tff(541,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 38.70/25.16 tff(542,plain,
% 38.70/25.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[541, 540])).
% 38.70/25.16 tff(543,plain,
% 38.70/25.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[542, 538])).
% 38.70/25.16 tff(544,plain,(
% 38.70/25.16 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.16 inference(skolemize,[status(sab)],[543])).
% 38.70/25.16 tff(545,plain,
% 38.70/25.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[544, 537])).
% 38.70/25.16 tff(546,plain,
% 38.70/25.16 (((~![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)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(547,plain,
% 38.70/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 38.70/25.16 inference(quant_inst,[status(thm)],[])).
% 38.70/25.16 tff(548,plain,
% 38.70/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[547, 546])).
% 38.70/25.16 tff(549,plain,
% 38.70/25.16 (v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[548, 545, 327])).
% 38.70/25.16 tff(550,plain,
% 38.70/25.16 (~v129(constB2, bitIndex1)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[549, 535])).
% 38.70/25.16 tff(551,plain,
% 38.70/25.16 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(552,plain,
% 38.70/25.16 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[551])).
% 38.70/25.16 tff(553,plain,
% 38.70/25.16 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(554,plain,
% 38.70/25.16 (^[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))))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(555,plain,
% 38.70/25.16 (![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[554])).
% 38.70/25.16 tff(556,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 38.70/25.16 tff(557,plain,
% 38.70/25.16 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[556, 555])).
% 38.70/25.16 tff(558,plain,
% 38.70/25.16 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[557, 553])).
% 38.70/25.16 tff(559,plain,(
% 38.70/25.16 ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 38.70/25.16 inference(skolemize,[status(sab)],[558])).
% 38.70/25.16 tff(560,plain,
% 38.70/25.16 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[559, 552])).
% 38.70/25.16 tff(561,plain,
% 38.70/25.16 (((~![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)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(562,plain,
% 38.70/25.16 (((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1)) <=> ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(563,plain,
% 38.70/25.16 (((~![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))))),
% 38.70/25.16 inference(monotonicity,[status(thm)],[562])).
% 38.70/25.16 tff(564,plain,
% 38.70/25.16 (((~![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)))),
% 38.70/25.16 inference(transitivity,[status(thm)],[563, 561])).
% 38.70/25.16 tff(565,plain,
% 38.70/25.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))),
% 38.70/25.16 inference(quant_inst,[status(thm)],[])).
% 38.70/25.16 tff(566,plain,
% 38.70/25.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[565, 564])).
% 38.70/25.16 tff(567,plain,
% 38.70/25.16 ((~v90(constB2, bitIndex1)) | (~v100(constB2))),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[566, 560, 550])).
% 38.70/25.16 tff(568,plain,
% 38.70/25.16 (~v90(constB2, bitIndex1)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[567, 411])).
% 38.70/25.16 tff(569,plain,
% 38.70/25.16 (((~![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)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(570,plain,
% 38.70/25.16 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))) <=> (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(571,plain,
% 38.70/25.16 (((~![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))))),
% 38.70/25.16 inference(monotonicity,[status(thm)],[570])).
% 38.70/25.16 tff(572,plain,
% 38.70/25.16 (((~![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)))),
% 38.70/25.16 inference(transitivity,[status(thm)],[571, 569])).
% 38.70/25.16 tff(573,plain,
% 38.70/25.16 ((~![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)))),
% 38.70/25.16 inference(quant_inst,[status(thm)],[])).
% 38.70/25.16 tff(574,plain,
% 38.70/25.16 ((~![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))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[573, 572])).
% 38.70/25.16 tff(575,plain,
% 38.70/25.16 (v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[574, 186, 482])).
% 38.70/25.16 tff(576,plain,
% 38.70/25.16 (v90(constB2, bitIndex1) | (~v90(constB3, bitIndex1))),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[575, 494])).
% 38.70/25.16 tff(577,plain,
% 38.70/25.16 (~v90(constB3, bitIndex1)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[576, 568])).
% 38.70/25.16 tff(578,plain,
% 38.70/25.16 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(579,plain,
% 38.70/25.16 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[578])).
% 38.70/25.16 tff(580,plain,
% 38.70/25.16 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(581,plain,
% 38.70/25.16 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(582,plain,
% 38.70/25.16 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[581])).
% 38.70/25.16 tff(583,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v119(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1')).
% 38.70/25.16 tff(584,plain,
% 38.70/25.16 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[583, 582])).
% 38.70/25.16 tff(585,plain,
% 38.70/25.16 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[584, 580])).
% 38.70/25.16 tff(586,plain,(
% 38.70/25.16 ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.70/25.16 inference(skolemize,[status(sab)],[585])).
% 38.70/25.16 tff(587,plain,
% 38.70/25.16 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[586, 579])).
% 38.70/25.16 tff(588,plain,
% 38.70/25.16 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB1)) | v130(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB1)) | v130(constB1, bitIndex0))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(589,plain,
% 38.70/25.16 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB1)) | v130(constB1, bitIndex0))),
% 38.70/25.16 inference(quant_inst,[status(thm)],[])).
% 38.70/25.16 tff(590,plain,
% 38.70/25.16 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB1)) | v130(constB1, bitIndex0)),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[589, 588])).
% 38.70/25.16 tff(591,plain,
% 38.70/25.16 (v130(constB1, bitIndex0)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[590, 587, 232])).
% 38.70/25.16 tff(592,plain,
% 38.70/25.16 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(593,plain,
% 38.70/25.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[592])).
% 38.70/25.16 tff(594,plain,
% 38.70/25.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(595,plain,
% 38.70/25.16 (^[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))))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(596,plain,
% 38.70/25.16 (![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[595])).
% 38.70/25.16 tff(597,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 38.70/25.16 tff(598,plain,
% 38.70/25.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[597, 596])).
% 38.70/25.16 tff(599,plain,
% 38.70/25.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[598, 594])).
% 38.70/25.16 tff(600,plain,(
% 38.70/25.16 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 38.70/25.16 inference(skolemize,[status(sab)],[599])).
% 38.70/25.16 tff(601,plain,
% 38.70/25.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[600, 593])).
% 38.70/25.16 tff(602,plain,
% 38.70/25.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(603,plain,
% 38.70/25.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))),
% 38.70/25.16 inference(quant_inst,[status(thm)],[])).
% 38.70/25.16 tff(604,plain,
% 38.70/25.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0)),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[603, 602])).
% 38.70/25.16 tff(605,plain,
% 38.70/25.16 (v26(constB1) | v127(constB1, bitIndex0)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[604, 601, 591])).
% 38.70/25.16 tff(606,plain,
% 38.70/25.16 (v127(constB1, bitIndex0)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[605, 117])).
% 38.70/25.16 tff(607,plain,
% 38.70/25.16 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(608,plain,
% 38.70/25.16 (![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))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[607])).
% 38.70/25.16 tff(609,plain,
% 38.70/25.16 (![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))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(610,plain,
% 38.70/25.16 (^[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))))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(611,plain,
% 38.70/25.16 (![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))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[610])).
% 38.70/25.16 tff(612,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 38.70/25.16 tff(613,plain,
% 38.70/25.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[612, 611])).
% 38.70/25.16 tff(614,plain,
% 38.70/25.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[613, 609])).
% 38.70/25.16 tff(615,plain,(
% 38.70/25.16 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 38.70/25.16 inference(skolemize,[status(sab)],[614])).
% 38.70/25.16 tff(616,plain,
% 38.70/25.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[615, 608])).
% 38.70/25.16 tff(617,plain,
% 38.70/25.16 (((~![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))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(618,plain,
% 38.70/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))),
% 38.70/25.16 inference(quant_inst,[status(thm)],[])).
% 38.70/25.16 tff(619,plain,
% 38.70/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0)),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[618, 617])).
% 38.70/25.16 tff(620,plain,
% 38.70/25.16 ((~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[619, 616, 327])).
% 38.70/25.16 tff(621,plain,
% 38.70/25.16 (v129(constB2, bitIndex0)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[620, 606])).
% 38.70/25.16 tff(622,plain,
% 38.70/25.16 (^[VarNext: $i] : refl((v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(623,plain,
% 38.70/25.16 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[622])).
% 38.70/25.16 tff(624,plain,
% 38.70/25.16 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(625,plain,
% 38.70/25.16 (^[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)))))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(626,plain,
% 38.70/25.16 (![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[625])).
% 38.70/25.16 tff(627,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 38.70/25.16 tff(628,plain,
% 38.70/25.16 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[627, 626])).
% 38.70/25.16 tff(629,plain,
% 38.70/25.16 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[628, 624])).
% 38.70/25.16 tff(630,plain,(
% 38.70/25.16 ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.16 inference(skolemize,[status(sab)],[629])).
% 38.70/25.16 tff(631,plain,
% 38.70/25.16 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[630, 623])).
% 38.70/25.16 tff(632,plain,
% 38.70/25.16 (((~![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)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(633,plain,
% 38.70/25.16 ((v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0))) <=> (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(634,plain,
% 38.70/25.16 (((~![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))))),
% 38.70/25.16 inference(monotonicity,[status(thm)],[633])).
% 38.70/25.16 tff(635,plain,
% 38.70/25.16 (((~![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)))),
% 38.70/25.16 inference(transitivity,[status(thm)],[634, 632])).
% 38.70/25.16 tff(636,plain,
% 38.70/25.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))),
% 38.70/25.16 inference(quant_inst,[status(thm)],[])).
% 38.70/25.16 tff(637,plain,
% 38.70/25.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[636, 635])).
% 38.70/25.16 tff(638,plain,
% 38.70/25.16 (v90(constB2, bitIndex0) | (~v100(constB2))),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[637, 631, 621])).
% 38.70/25.16 tff(639,plain,
% 38.70/25.16 (v90(constB2, bitIndex0)),
% 38.70/25.16 inference(unit_resolution,[status(thm)],[638, 411])).
% 38.70/25.16 tff(640,plain,
% 38.70/25.16 (^[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)))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(641,plain,
% 38.70/25.16 (![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))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[640])).
% 38.70/25.16 tff(642,plain,
% 38.70/25.16 (![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))),
% 38.70/25.16 inference(rewrite,[status(thm)],[])).
% 38.70/25.16 tff(643,plain,
% 38.70/25.16 (^[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))))),
% 38.70/25.16 inference(bind,[status(th)],[])).
% 38.70/25.16 tff(644,plain,
% 38.70/25.16 (![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))),
% 38.70/25.16 inference(quant_intro,[status(thm)],[643])).
% 38.70/25.16 tff(645,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 38.70/25.16 tff(646,plain,
% 38.70/25.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 38.70/25.16 inference(modus_ponens,[status(thm)],[645, 644])).
% 38.70/25.16 tff(647,plain,
% 38.70/25.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[646, 642])).
% 38.70/25.17 tff(648,plain,(
% 38.70/25.17 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 38.70/25.17 inference(skolemize,[status(sab)],[647])).
% 38.70/25.17 tff(649,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[648, 641])).
% 38.70/25.17 tff(650,plain,
% 38.70/25.17 (((~![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))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(651,plain,
% 38.70/25.17 (((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0)) <=> ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(652,plain,
% 38.70/25.17 (((~![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)))),
% 38.70/25.17 inference(monotonicity,[status(thm)],[651])).
% 38.70/25.17 tff(653,plain,
% 38.70/25.17 (((~![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))),
% 38.70/25.17 inference(transitivity,[status(thm)],[652, 650])).
% 38.70/25.17 tff(654,plain,
% 38.70/25.17 ((~![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))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(655,plain,
% 38.70/25.17 ((~![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)),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[654, 653])).
% 38.70/25.17 tff(656,plain,
% 38.70/25.17 ((~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[655, 649, 482])).
% 38.70/25.17 tff(657,plain,
% 38.70/25.17 ((~v90(constB2, bitIndex0)) | v90(constB3, bitIndex0)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[656, 494])).
% 38.70/25.17 tff(658,plain,
% 38.70/25.17 (v90(constB3, bitIndex0)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[657, 639])).
% 38.70/25.17 tff(659,plain,
% 38.70/25.17 (^[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)))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(660,plain,
% 38.70/25.17 (![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))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[659])).
% 38.70/25.17 tff(661,plain,
% 38.70/25.17 (![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))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(662,plain,
% 38.70/25.17 (^[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))))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(663,plain,
% 38.70/25.17 (![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))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[662])).
% 38.70/25.17 tff(664,axiom,(![VarCurr: $i] : (((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 38.70/25.17 tff(665,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[664, 663])).
% 38.70/25.17 tff(666,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[665, 661])).
% 38.70/25.17 tff(667,plain,(
% 38.70/25.17 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 38.70/25.17 inference(skolemize,[status(sab)],[666])).
% 38.70/25.17 tff(668,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[667, 660])).
% 38.70/25.17 tff(669,plain,
% 38.70/25.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(670,plain,
% 38.70/25.17 (((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2)) <=> ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(671,plain,
% 38.70/25.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3)))),
% 38.70/25.17 inference(monotonicity,[status(thm)],[670])).
% 38.70/25.17 tff(672,plain,
% 38.70/25.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 38.70/25.17 inference(transitivity,[status(thm)],[671, 669])).
% 38.70/25.17 tff(673,plain,
% 38.70/25.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(674,plain,
% 38.70/25.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3)),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[673, 672])).
% 38.70/25.17 tff(675,plain,
% 38.70/25.17 (v120(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[674, 668, 658, 577, 503])).
% 38.70/25.17 tff(676,plain,
% 38.70/25.17 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(677,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[676])).
% 38.70/25.17 tff(678,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(679,plain,
% 38.70/25.17 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(680,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[679])).
% 38.70/25.17 tff(681,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_3')).
% 38.70/25.17 tff(682,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[681, 680])).
% 38.70/25.17 tff(683,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[682, 678])).
% 38.70/25.17 tff(684,plain,(
% 38.70/25.17 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.17 inference(skolemize,[status(sab)],[683])).
% 38.70/25.17 tff(685,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[684, 677])).
% 38.70/25.17 tff(686,plain,
% 38.70/25.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB3)) | (~v130(constB3, bitIndex2)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(687,plain,
% 38.70/25.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex2)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(688,plain,
% 38.70/25.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB3)) | (~v130(constB3, bitIndex2))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[687, 686])).
% 38.70/25.17 tff(689,plain,
% 38.70/25.17 (~v130(constB3, bitIndex2)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[688, 685, 675])).
% 38.70/25.17 tff(690,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(691,plain,
% 38.70/25.17 ((v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2))) <=> ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(692,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2)))),
% 38.70/25.17 inference(monotonicity,[status(thm)],[691])).
% 38.70/25.17 tff(693,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 38.70/25.17 inference(transitivity,[status(thm)],[692, 690])).
% 38.70/25.17 tff(694,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(695,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2)),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[694, 693])).
% 38.70/25.17 tff(696,plain,
% 38.70/25.17 ((~v127(constB3, bitIndex2)) | v26(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[695, 435, 689])).
% 38.70/25.17 tff(697,plain,
% 38.70/25.17 (~v127(constB3, bitIndex2)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[696, 113])).
% 38.70/25.17 tff(698,plain,
% 38.70/25.17 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(699,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 38.70/25.17 tff(700,plain,
% 38.70/25.17 (nextState(constB3, constB4)),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[699, 698])).
% 38.70/25.17 tff(701,plain,
% 38.70/25.17 (((~![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)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(702,plain,
% 38.70/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(703,plain,
% 38.70/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[702, 701])).
% 38.70/25.17 tff(704,plain,
% 38.70/25.17 (v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2))),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[703, 453, 700])).
% 38.70/25.17 tff(705,plain,
% 38.70/25.17 (~v129(constB4, bitIndex2)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[704, 697])).
% 38.70/25.17 tff(706,assumption,(~v108(constB3)), introduced(assumption)).
% 38.70/25.17 tff(707,plain,
% 38.70/25.17 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(708,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[707])).
% 38.70/25.17 tff(709,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(710,plain,
% 38.70/25.17 (^[VarNext: $i, VarCurr: $i] : rewrite(((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(711,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[710])).
% 38.70/25.17 tff(712,axiom,(![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 38.70/25.17 tff(713,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[712, 711])).
% 38.70/25.17 tff(714,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[713, 709])).
% 38.70/25.17 tff(715,plain,(
% 38.70/25.17 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 38.70/25.17 inference(skolemize,[status(sab)],[714])).
% 38.70/25.17 tff(716,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[715, 708])).
% 38.70/25.17 tff(717,plain,
% 38.70/25.17 (((~![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))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(718,plain,
% 38.70/25.17 (((~nextState(constB3, constB4)) | v108(constB3) | (~v110(constB4))) <=> ((~nextState(constB3, constB4)) | (~v110(constB4)) | v108(constB3))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(719,plain,
% 38.70/25.17 (((~![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)))),
% 38.70/25.17 inference(monotonicity,[status(thm)],[718])).
% 38.70/25.17 tff(720,plain,
% 38.70/25.17 (((~![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))),
% 38.70/25.17 inference(transitivity,[status(thm)],[719, 717])).
% 38.70/25.17 tff(721,plain,
% 38.70/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB3, constB4)) | v108(constB3) | (~v110(constB4)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(722,plain,
% 38.70/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB3, constB4)) | (~v110(constB4)) | v108(constB3)),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[721, 720])).
% 38.70/25.17 tff(723,plain,
% 38.70/25.17 ((~v110(constB4)) | v108(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[722, 716, 700])).
% 38.70/25.17 tff(724,plain,
% 38.70/25.17 (~v110(constB4)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[723, 706])).
% 38.70/25.17 tff(725,plain,
% 38.70/25.17 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(726,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[725])).
% 38.70/25.17 tff(727,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(728,plain,
% 38.70/25.17 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(729,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[728])).
% 38.70/25.17 tff(730,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 38.70/25.17 tff(731,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[730, 729])).
% 38.70/25.17 tff(732,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[731, 727])).
% 38.70/25.17 tff(733,plain,(
% 38.70/25.17 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 38.70/25.17 inference(skolemize,[status(sab)],[732])).
% 38.70/25.17 tff(734,plain,
% 38.70/25.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[733, 726])).
% 38.70/25.17 tff(735,plain,
% 38.70/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v100(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v100(constB4)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(736,plain,
% 38.70/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v100(constB4)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(737,plain,
% 38.70/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v100(constB4))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[736, 735])).
% 38.70/25.17 tff(738,plain,
% 38.70/25.17 (v110(constB4) | (~v100(constB4))),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[737, 734, 700])).
% 38.70/25.17 tff(739,plain,
% 38.70/25.17 (~v100(constB4)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[738, 724])).
% 38.70/25.17 tff(740,plain,
% 38.70/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex0))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(741,plain,
% 38.70/25.17 (((~nextState(constB3, constB4)) | (~v90(constB3, bitIndex0)) | v100(constB4) | v90(constB4, bitIndex0)) <=> ((~v90(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex0))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(742,plain,
% 38.70/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB3, constB4)) | (~v90(constB3, bitIndex0)) | v100(constB4) | v90(constB4, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex0)))),
% 38.70/25.17 inference(monotonicity,[status(thm)],[741])).
% 38.70/25.17 tff(743,plain,
% 38.70/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB3, constB4)) | (~v90(constB3, bitIndex0)) | v100(constB4) | v90(constB4, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex0))),
% 38.70/25.17 inference(transitivity,[status(thm)],[742, 740])).
% 38.70/25.17 tff(744,plain,
% 38.70/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB3, constB4)) | (~v90(constB3, bitIndex0)) | v100(constB4) | v90(constB4, bitIndex0))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(745,plain,
% 38.70/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex0)),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[744, 743])).
% 38.70/25.17 tff(746,plain,
% 38.70/25.17 ((~v90(constB3, bitIndex0)) | v100(constB4) | v90(constB4, bitIndex0)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[745, 649, 700])).
% 38.70/25.17 tff(747,plain,
% 38.70/25.17 (v100(constB4) | v90(constB4, bitIndex0)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[746, 658])).
% 38.70/25.17 tff(748,plain,
% 38.70/25.17 (v90(constB4, bitIndex0)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[747, 739])).
% 38.70/25.17 tff(749,plain,
% 38.70/25.17 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(750,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[749])).
% 38.70/25.17 tff(751,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(752,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 38.70/25.17 tff(753,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[752, 751])).
% 38.70/25.17 tff(754,plain,(
% 38.70/25.17 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 38.70/25.17 inference(skolemize,[status(sab)],[753])).
% 38.70/25.17 tff(755,plain,
% 38.70/25.17 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[754, 750])).
% 38.70/25.17 tff(756,plain,
% 38.70/25.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB4, bitIndex0)) | (~v121(constB4)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB4, bitIndex0)) | (~v121(constB4)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(757,plain,
% 38.70/25.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB4, bitIndex0)) | (~v121(constB4)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(758,plain,
% 38.70/25.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB4, bitIndex0)) | (~v121(constB4))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[757, 756])).
% 38.70/25.17 tff(759,plain,
% 38.70/25.17 (~v121(constB4)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[758, 755, 748])).
% 38.70/25.17 tff(760,plain,
% 38.70/25.17 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v26(VarCurr))) <=> (v108(VarCurr) | (~v26(VarCurr))))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(761,plain,
% 38.70/25.17 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[760])).
% 38.70/25.17 tff(762,plain,
% 38.70/25.17 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(763,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 38.70/25.17 tff(764,plain,
% 38.70/25.17 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[763, 762])).
% 38.70/25.17 tff(765,plain,(
% 38.70/25.17 ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 38.70/25.17 inference(skolemize,[status(sab)],[764])).
% 38.70/25.17 tff(766,plain,
% 38.70/25.17 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[765, 761])).
% 38.70/25.17 tff(767,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB3) | (~v26(constB3)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB3) | (~v26(constB3)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(768,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB3) | (~v26(constB3)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(769,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB3) | (~v26(constB3))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[768, 767])).
% 38.70/25.17 tff(770,plain,
% 38.70/25.17 (~v26(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[769, 766, 706])).
% 38.70/25.17 tff(771,assumption,(~v26(constB3)), introduced(assumption)).
% 38.70/25.17 tff(772,plain,
% 38.70/25.17 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v120(VarCurr))) <=> (v118(VarCurr) | (~v120(VarCurr))))),
% 38.70/25.17 inference(bind,[status(th)],[])).
% 38.70/25.17 tff(773,plain,
% 38.70/25.17 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 38.70/25.17 inference(quant_intro,[status(thm)],[772])).
% 38.70/25.17 tff(774,plain,
% 38.70/25.17 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(775,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 38.70/25.17 tff(776,plain,
% 38.70/25.17 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[775, 774])).
% 38.70/25.17 tff(777,plain,(
% 38.70/25.17 ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 38.70/25.17 inference(skolemize,[status(sab)],[776])).
% 38.70/25.17 tff(778,plain,
% 38.70/25.17 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[777, 773])).
% 38.70/25.17 tff(779,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB3) | (~v120(constB3)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB3) | (~v120(constB3)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(780,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB3) | (~v120(constB3)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(781,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB3) | (~v120(constB3))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[780, 779])).
% 38.70/25.17 tff(782,plain,
% 38.70/25.17 (v118(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[781, 778, 675])).
% 38.70/25.17 tff(783,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB3) | (~v118(constB3)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB3) | (~v118(constB3)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(784,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB3) | (~v118(constB3)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(785,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB3) | (~v118(constB3))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[784, 783])).
% 38.70/25.17 tff(786,plain,
% 38.70/25.17 (v117(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[785, 250, 782])).
% 38.70/25.17 tff(787,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB3) | (~v117(constB3)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB3) | (~v117(constB3)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(788,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB3) | (~v117(constB3)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(789,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB3) | (~v117(constB3))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[788, 787])).
% 38.70/25.17 tff(790,plain,
% 38.70/25.17 (v116(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[789, 261, 786])).
% 38.70/25.17 tff(791,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB3) | (~v116(constB3)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB3) | (~v116(constB3)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(792,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB3) | (~v116(constB3)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(793,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB3) | (~v116(constB3))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[792, 791])).
% 38.70/25.17 tff(794,plain,
% 38.70/25.17 (v115(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[793, 272, 790])).
% 38.70/25.17 tff(795,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(796,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(797,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[796, 795])).
% 38.70/25.17 tff(798,plain,
% 38.70/25.17 (v114(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[797, 283, 794])).
% 38.70/25.17 tff(799,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(800,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(801,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[800, 799])).
% 38.70/25.17 tff(802,plain,
% 38.70/25.17 (v113(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[801, 294, 798])).
% 38.70/25.17 tff(803,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | v112(constB3) | (~v113(constB3)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(804,plain,
% 38.70/25.17 ((v26(constB3) | (~v113(constB3)) | v112(constB3)) <=> (v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.17 tff(805,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | v112(constB3) | (~v113(constB3))))),
% 38.70/25.17 inference(monotonicity,[status(thm)],[804])).
% 38.70/25.17 tff(806,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 38.70/25.17 inference(transitivity,[status(thm)],[805, 803])).
% 38.70/25.17 tff(807,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 38.70/25.17 inference(quant_inst,[status(thm)],[])).
% 38.70/25.17 tff(808,plain,
% 38.70/25.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3))),
% 38.70/25.17 inference(modus_ponens,[status(thm)],[807, 806])).
% 38.70/25.17 tff(809,plain,
% 38.70/25.17 (v26(constB3) | v112(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[808, 308, 802])).
% 38.70/25.17 tff(810,plain,
% 38.70/25.17 (v112(constB3)),
% 38.70/25.17 inference(unit_resolution,[status(thm)],[809, 771])).
% 38.70/25.17 tff(811,plain,
% 38.70/25.17 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3)))),
% 38.70/25.17 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(812,plain,
% 38.70/25.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(813,plain,
% 38.70/25.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[812, 811])).
% 38.70/25.18 tff(814,plain,
% 38.70/25.18 (v108(constB3)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[813, 320, 810])).
% 38.70/25.18 tff(815,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(816,plain,
% 38.70/25.18 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(817,plain,
% 38.70/25.18 (((~![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))))),
% 38.70/25.18 inference(monotonicity,[status(thm)],[816])).
% 38.70/25.18 tff(818,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(transitivity,[status(thm)],[817, 815])).
% 38.70/25.18 tff(819,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(820,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[819, 818])).
% 38.70/25.18 tff(821,plain,
% 38.70/25.18 (v110(constB4) | (~v108(constB3))),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[820, 337, 700])).
% 38.70/25.18 tff(822,plain,
% 38.70/25.18 (v110(constB4)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[821, 814])).
% 38.70/25.18 tff(823,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(824,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(825,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[824, 823])).
% 38.70/25.18 tff(826,plain,
% 38.70/25.18 (~v104(constB4)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[825, 355, 700, 479])).
% 38.70/25.18 tff(827,plain,
% 38.70/25.18 (((~![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))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(828,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(829,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[828, 827])).
% 38.70/25.18 tff(830,plain,
% 38.70/25.18 (v102(constB4) | v104(constB4)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[829, 369, 700])).
% 38.70/25.18 tff(831,plain,
% 38.70/25.18 (v102(constB4)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[830, 826])).
% 38.70/25.18 tff(832,plain,
% 38.70/25.18 (v1(constB4) <=> v1(constB4)),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(833,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 38.70/25.18 tff(834,plain,
% 38.70/25.18 (v1(constB4)),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[833, 832])).
% 38.70/25.18 tff(835,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(836,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(837,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[836, 835])).
% 38.70/25.18 tff(838,plain,
% 38.70/25.18 (v101(constB4) | (~v102(constB4))),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[837, 387, 700, 834])).
% 38.70/25.18 tff(839,plain,
% 38.70/25.18 (v101(constB4)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[838, 831])).
% 38.70/25.18 tff(840,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(841,plain,
% 38.70/25.18 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(842,plain,
% 38.70/25.18 (((~![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))))),
% 38.70/25.18 inference(monotonicity,[status(thm)],[841])).
% 38.70/25.18 tff(843,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(transitivity,[status(thm)],[842, 840])).
% 38.70/25.18 tff(844,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(845,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[844, 843])).
% 38.70/25.18 tff(846,plain,
% 38.70/25.18 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[845, 402, 700])).
% 38.70/25.18 tff(847,plain,
% 38.70/25.18 (v100(constB4) | (~v110(constB4))),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[846, 839])).
% 38.70/25.18 tff(848,plain,
% 38.70/25.18 (v100(constB4)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[847, 822])).
% 38.70/25.18 tff(849,plain,
% 38.70/25.18 (~v127(constB3, bitIndex2)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[696, 771])).
% 38.70/25.18 tff(850,plain,
% 38.70/25.18 (~v129(constB4, bitIndex2)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[704, 849])).
% 38.70/25.18 tff(851,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(852,plain,
% 38.70/25.18 (((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2)) <=> ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(853,plain,
% 38.70/25.18 (((~![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))))),
% 38.70/25.18 inference(monotonicity,[status(thm)],[852])).
% 38.70/25.18 tff(854,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(transitivity,[status(thm)],[853, 851])).
% 38.70/25.18 tff(855,plain,
% 38.70/25.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(856,plain,
% 38.70/25.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[855, 854])).
% 38.70/25.18 tff(857,plain,
% 38.70/25.18 ((~v90(constB4, bitIndex2)) | (~v100(constB4))),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[856, 468, 850])).
% 38.70/25.18 tff(858,plain,
% 38.70/25.18 (~v90(constB4, bitIndex2)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[857, 848])).
% 38.70/25.18 tff(859,plain,
% 38.70/25.18 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(860,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[859])).
% 38.70/25.18 tff(861,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(862,plain,
% 38.70/25.18 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(863,plain,
% 38.70/25.18 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[862])).
% 38.70/25.18 tff(864,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_2')).
% 38.70/25.18 tff(865,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[864, 863])).
% 38.70/25.18 tff(866,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[865, 861])).
% 38.70/25.18 tff(867,plain,(
% 38.70/25.18 ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.70/25.18 inference(skolemize,[status(sab)],[866])).
% 38.70/25.18 tff(868,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[867, 860])).
% 38.70/25.18 tff(869,plain,
% 38.70/25.18 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB3)) | v130(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB3)) | v130(constB3, bitIndex1))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(870,plain,
% 38.70/25.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB3)) | v130(constB3, bitIndex1))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(871,plain,
% 38.70/25.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB3)) | v130(constB3, bitIndex1)),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[870, 869])).
% 38.70/25.18 tff(872,plain,
% 38.70/25.18 (v130(constB3, bitIndex1)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[871, 868, 675])).
% 38.70/25.18 tff(873,plain,
% 38.70/25.18 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(874,plain,
% 38.70/25.18 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[873])).
% 38.70/25.18 tff(875,plain,
% 38.70/25.18 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(876,plain,
% 38.70/25.18 (^[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))))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(877,plain,
% 38.70/25.18 (![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[876])).
% 38.70/25.18 tff(878,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 38.70/25.18 tff(879,plain,
% 38.70/25.18 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[878, 877])).
% 38.70/25.18 tff(880,plain,
% 38.70/25.18 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[879, 875])).
% 38.70/25.18 tff(881,plain,(
% 38.70/25.18 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 38.70/25.18 inference(skolemize,[status(sab)],[880])).
% 38.70/25.18 tff(882,plain,
% 38.70/25.18 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[881, 874])).
% 38.70/25.18 tff(883,plain,
% 38.70/25.18 (((~![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))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(884,plain,
% 38.70/25.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(885,plain,
% 38.70/25.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[884, 883])).
% 38.70/25.18 tff(886,plain,
% 38.70/25.18 (v26(constB3) | v127(constB3, bitIndex1)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[885, 882, 872])).
% 38.70/25.18 tff(887,plain,
% 38.70/25.18 (v127(constB3, bitIndex1)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[886, 771])).
% 38.70/25.18 tff(888,plain,
% 38.70/25.18 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(889,plain,
% 38.70/25.18 (![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))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[888])).
% 38.70/25.18 tff(890,plain,
% 38.70/25.18 (![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))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(891,plain,
% 38.70/25.18 (^[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))))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(892,plain,
% 38.70/25.18 (![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))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[891])).
% 38.70/25.18 tff(893,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 38.70/25.18 tff(894,plain,
% 38.70/25.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[893, 892])).
% 38.70/25.18 tff(895,plain,
% 38.70/25.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[894, 890])).
% 38.70/25.18 tff(896,plain,(
% 38.70/25.18 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 38.70/25.18 inference(skolemize,[status(sab)],[895])).
% 38.70/25.18 tff(897,plain,
% 38.70/25.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[896, 889])).
% 38.70/25.18 tff(898,plain,
% 38.70/25.18 (((~![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))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(899,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(900,plain,
% 38.70/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[899, 898])).
% 38.70/25.18 tff(901,plain,
% 38.70/25.18 ((~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[900, 897, 700])).
% 38.70/25.18 tff(902,plain,
% 38.70/25.18 (v129(constB4, bitIndex1)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[901, 887])).
% 38.70/25.18 tff(903,plain,
% 38.70/25.18 (^[VarNext: $i] : refl((v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(904,plain,
% 38.70/25.18 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[903])).
% 38.70/25.18 tff(905,plain,
% 38.70/25.18 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(906,plain,
% 38.70/25.18 (^[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)))))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(907,plain,
% 38.70/25.18 (![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[906])).
% 38.70/25.18 tff(908,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 38.70/25.18 tff(909,plain,
% 38.70/25.18 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[908, 907])).
% 38.70/25.18 tff(910,plain,
% 38.70/25.18 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[909, 905])).
% 38.70/25.18 tff(911,plain,(
% 38.70/25.18 ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.18 inference(skolemize,[status(sab)],[910])).
% 38.70/25.18 tff(912,plain,
% 38.70/25.18 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[911, 904])).
% 38.70/25.18 tff(913,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(914,plain,
% 38.70/25.18 ((v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1))) <=> (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(915,plain,
% 38.70/25.18 (((~![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))))),
% 38.70/25.18 inference(monotonicity,[status(thm)],[914])).
% 38.70/25.18 tff(916,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(transitivity,[status(thm)],[915, 913])).
% 38.70/25.18 tff(917,plain,
% 38.70/25.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(918,plain,
% 38.70/25.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[917, 916])).
% 38.70/25.18 tff(919,plain,
% 38.70/25.18 (v90(constB4, bitIndex1) | (~v100(constB4))),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[918, 912, 902])).
% 38.70/25.18 tff(920,plain,
% 38.70/25.18 (v90(constB4, bitIndex1)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[919, 848])).
% 38.70/25.18 tff(921,plain,
% 38.70/25.18 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(922,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[921])).
% 38.70/25.18 tff(923,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(924,plain,
% 38.70/25.18 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(925,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[924])).
% 38.70/25.18 tff(926,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1')).
% 38.70/25.18 tff(927,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[926, 925])).
% 38.70/25.18 tff(928,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[927, 923])).
% 38.70/25.18 tff(929,plain,(
% 38.70/25.18 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(skolemize,[status(sab)],[928])).
% 38.70/25.18 tff(930,plain,
% 38.70/25.18 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[929, 922])).
% 38.70/25.18 tff(931,plain,
% 38.70/25.18 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB3)) | (~v130(constB3, bitIndex0)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(932,plain,
% 38.70/25.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex0)))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(933,plain,
% 38.70/25.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB3)) | (~v130(constB3, bitIndex0))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[932, 931])).
% 38.70/25.18 tff(934,plain,
% 38.70/25.18 (~v130(constB3, bitIndex0)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[933, 930, 675])).
% 38.70/25.18 tff(935,plain,
% 38.70/25.18 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(936,plain,
% 38.70/25.18 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[935])).
% 38.70/25.18 tff(937,plain,
% 38.70/25.18 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(938,plain,
% 38.70/25.18 (^[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)))))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(939,plain,
% 38.70/25.18 (![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[938])).
% 38.70/25.18 tff(940,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 38.70/25.18 tff(941,plain,
% 38.70/25.18 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[940, 939])).
% 38.70/25.18 tff(942,plain,
% 38.70/25.18 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[941, 937])).
% 38.70/25.18 tff(943,plain,(
% 38.70/25.18 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(skolemize,[status(sab)],[942])).
% 38.70/25.18 tff(944,plain,
% 38.70/25.18 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[943, 936])).
% 38.70/25.18 tff(945,plain,
% 38.70/25.18 (((~![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))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(946,plain,
% 38.70/25.18 ((v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0))) <=> ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(947,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.18 inference(monotonicity,[status(thm)],[946])).
% 38.70/25.18 tff(948,plain,
% 38.70/25.18 (((~![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))),
% 38.70/25.18 inference(transitivity,[status(thm)],[947, 945])).
% 38.70/25.18 tff(949,plain,
% 38.70/25.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))),
% 38.70/25.18 inference(quant_inst,[status(thm)],[])).
% 38.70/25.18 tff(950,plain,
% 38.70/25.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[949, 948])).
% 38.70/25.18 tff(951,plain,
% 38.70/25.18 ((~v127(constB3, bitIndex0)) | v26(constB3)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[950, 944, 934])).
% 38.70/25.18 tff(952,plain,
% 38.70/25.18 (~v127(constB3, bitIndex0)),
% 38.70/25.18 inference(unit_resolution,[status(thm)],[951, 771])).
% 38.70/25.18 tff(953,plain,
% 38.70/25.18 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(954,plain,
% 38.70/25.18 (![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)))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[953])).
% 38.70/25.18 tff(955,plain,
% 38.70/25.18 (![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)))),
% 38.70/25.18 inference(rewrite,[status(thm)],[])).
% 38.70/25.18 tff(956,plain,
% 38.70/25.18 (^[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)))))),
% 38.70/25.18 inference(bind,[status(th)],[])).
% 38.70/25.18 tff(957,plain,
% 38.70/25.18 (![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)))),
% 38.70/25.18 inference(quant_intro,[status(thm)],[956])).
% 38.70/25.18 tff(958,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 38.70/25.18 tff(959,plain,
% 38.70/25.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[958, 957])).
% 38.70/25.18 tff(960,plain,
% 38.70/25.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[959, 955])).
% 38.70/25.18 tff(961,plain,(
% 38.70/25.18 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.18 inference(skolemize,[status(sab)],[960])).
% 38.70/25.18 tff(962,plain,
% 38.70/25.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 38.70/25.18 inference(modus_ponens,[status(thm)],[961, 954])).
% 38.70/25.18 tff(963,plain,
% 38.70/25.18 (((~![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)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(964,plain,
% 38.70/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(965,plain,
% 38.70/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[964, 963])).
% 38.70/25.19 tff(966,plain,
% 38.70/25.19 (v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[965, 962, 700])).
% 38.70/25.19 tff(967,plain,
% 38.70/25.19 (~v129(constB4, bitIndex0)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[966, 952])).
% 38.70/25.19 tff(968,plain,
% 38.70/25.19 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 38.70/25.19 inference(bind,[status(th)],[])).
% 38.70/25.19 tff(969,plain,
% 38.70/25.19 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 38.70/25.19 inference(quant_intro,[status(thm)],[968])).
% 38.70/25.19 tff(970,plain,
% 38.70/25.19 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(971,plain,
% 38.70/25.19 (^[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))))),
% 38.70/25.19 inference(bind,[status(th)],[])).
% 38.70/25.19 tff(972,plain,
% 38.70/25.19 (![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 38.70/25.19 inference(quant_intro,[status(thm)],[971])).
% 38.70/25.19 tff(973,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 38.70/25.19 tff(974,plain,
% 38.70/25.19 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[973, 972])).
% 38.70/25.19 tff(975,plain,
% 38.70/25.19 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[974, 970])).
% 38.70/25.19 tff(976,plain,(
% 38.70/25.19 ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 38.70/25.19 inference(skolemize,[status(sab)],[975])).
% 38.70/25.19 tff(977,plain,
% 38.70/25.19 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[976, 969])).
% 38.70/25.19 tff(978,plain,
% 38.70/25.19 (((~![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)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(979,plain,
% 38.70/25.19 (((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0)) <=> ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(980,plain,
% 38.70/25.19 (((~![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))))),
% 38.70/25.19 inference(monotonicity,[status(thm)],[979])).
% 38.70/25.19 tff(981,plain,
% 38.70/25.19 (((~![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)))),
% 38.70/25.19 inference(transitivity,[status(thm)],[980, 978])).
% 38.70/25.19 tff(982,plain,
% 38.70/25.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(983,plain,
% 38.70/25.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[982, 981])).
% 38.70/25.19 tff(984,plain,
% 38.70/25.19 ((~v90(constB4, bitIndex0)) | (~v100(constB4))),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[983, 977, 967])).
% 38.70/25.19 tff(985,plain,
% 38.70/25.19 (~v90(constB4, bitIndex0)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[984, 848])).
% 38.70/25.19 tff(986,assumption,(~v121(constB4)), introduced(assumption)).
% 38.70/25.19 tff(987,plain,
% 38.70/25.19 (^[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)))),
% 38.70/25.19 inference(bind,[status(th)],[])).
% 38.70/25.19 tff(988,plain,
% 38.70/25.19 (![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))),
% 38.70/25.19 inference(quant_intro,[status(thm)],[987])).
% 38.70/25.19 tff(989,plain,
% 38.70/25.19 (![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))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(990,plain,
% 38.70/25.19 (^[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))))),
% 38.70/25.19 inference(bind,[status(th)],[])).
% 38.70/25.19 tff(991,plain,
% 38.70/25.19 (![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))),
% 38.70/25.19 inference(quant_intro,[status(thm)],[990])).
% 38.70/25.19 tff(992,axiom,(![VarCurr: $i] : (((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 38.70/25.19 tff(993,plain,
% 38.70/25.19 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[992, 991])).
% 38.70/25.19 tff(994,plain,
% 38.70/25.19 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[993, 989])).
% 38.70/25.19 tff(995,plain,(
% 38.70/25.19 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 38.70/25.19 inference(skolemize,[status(sab)],[994])).
% 38.70/25.19 tff(996,plain,
% 38.70/25.19 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[995, 988])).
% 38.70/25.19 tff(997,plain,
% 38.70/25.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB4, bitIndex0) | (~v90(constB4, bitIndex1)) | v90(constB4, bitIndex2) | v121(constB4))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB4, bitIndex0) | (~v90(constB4, bitIndex1)) | v90(constB4, bitIndex2) | v121(constB4))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(998,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB4, bitIndex0) | (~v90(constB4, bitIndex1)) | v90(constB4, bitIndex2) | v121(constB4))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(999,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB4, bitIndex0) | (~v90(constB4, bitIndex1)) | v90(constB4, bitIndex2) | v121(constB4)),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[998, 997])).
% 38.70/25.19 tff(1000,plain,
% 38.70/25.19 (v90(constB4, bitIndex0) | (~v90(constB4, bitIndex1)) | v90(constB4, bitIndex2)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[999, 996, 986])).
% 38.70/25.19 tff(1001,plain,
% 38.70/25.19 ($false),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1000, 985, 920, 858])).
% 38.70/25.19 tff(1002,plain,(v26(constB3) | v121(constB4)), inference(lemma,lemma(discharge,[]))).
% 38.70/25.19 tff(1003,plain,
% 38.70/25.19 ($false),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1002, 770, 759])).
% 38.70/25.19 tff(1004,plain,(v108(constB3)), inference(lemma,lemma(discharge,[]))).
% 38.70/25.19 tff(1005,plain,
% 38.70/25.19 (v110(constB4)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[821, 1004])).
% 38.70/25.19 tff(1006,plain,
% 38.70/25.19 (v100(constB4)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[847, 1005])).
% 38.70/25.19 tff(1007,plain,
% 38.70/25.19 ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[856, 468, 1006])).
% 38.70/25.19 tff(1008,plain,
% 38.70/25.19 (~v90(constB4, bitIndex2)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1007, 705])).
% 38.70/25.19 tff(1009,plain,
% 38.70/25.19 ((~v1(constB5)) <=> (~v1(constB5))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1010,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 38.70/25.19 tff(1011,plain,
% 38.70/25.19 (~v1(constB5)),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 38.70/25.19 tff(1012,plain,
% 38.70/25.19 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1013,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 38.70/25.19 tff(1014,plain,
% 38.70/25.19 (nextState(constB4, constB5)),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 38.70/25.19 tff(1015,plain,
% 38.70/25.19 (((~![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)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1016,plain,
% 38.70/25.19 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1017,plain,
% 38.70/25.19 (((~![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))))),
% 38.70/25.19 inference(monotonicity,[status(thm)],[1016])).
% 38.70/25.19 tff(1018,plain,
% 38.70/25.19 (((~![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)))),
% 38.70/25.19 inference(transitivity,[status(thm)],[1017, 1015])).
% 38.70/25.19 tff(1019,plain,
% 38.70/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1020,plain,
% 38.70/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1019, 1018])).
% 38.70/25.19 tff(1021,plain,
% 38.70/25.19 (~v101(constB5)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1020, 133, 1014, 1011])).
% 38.70/25.19 tff(1022,plain,
% 38.70/25.19 (((~![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)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1023,plain,
% 38.70/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1024,plain,
% 38.70/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1023, 1022])).
% 38.70/25.19 tff(1025,plain,
% 38.70/25.19 (v101(constB5) | (~v100(constB5))),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1024, 150, 1014])).
% 38.70/25.19 tff(1026,plain,
% 38.70/25.19 (~v100(constB5)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1025, 1021])).
% 38.70/25.19 tff(1027,plain,
% 38.70/25.19 (((~![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)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1028,plain,
% 38.70/25.19 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2))) <=> (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1029,plain,
% 38.70/25.19 (((~![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))))),
% 38.70/25.19 inference(monotonicity,[status(thm)],[1028])).
% 38.70/25.19 tff(1030,plain,
% 38.70/25.19 (((~![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)))),
% 38.70/25.19 inference(transitivity,[status(thm)],[1029, 1027])).
% 38.70/25.19 tff(1031,plain,
% 38.70/25.19 ((~![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)))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1032,plain,
% 38.70/25.19 ((~![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))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1031, 1030])).
% 38.70/25.19 tff(1033,plain,
% 38.70/25.19 (v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2))),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1032, 165, 1014])).
% 38.70/25.19 tff(1034,plain,
% 38.70/25.19 (v90(constB4, bitIndex2) | (~v90(constB5, bitIndex2))),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1033, 1026])).
% 38.70/25.19 tff(1035,plain,
% 38.70/25.19 (~v90(constB5, bitIndex2)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1034, 1008])).
% 38.70/25.19 tff(1036,plain,
% 38.70/25.19 (v127(constB3, bitIndex1)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[886, 113])).
% 38.70/25.19 tff(1037,plain,
% 38.70/25.19 (v129(constB4, bitIndex1)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[901, 1036])).
% 38.70/25.19 tff(1038,plain,
% 38.70/25.19 (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1))),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[918, 912, 1006])).
% 38.70/25.19 tff(1039,plain,
% 38.70/25.19 (v90(constB4, bitIndex1)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1038, 1037])).
% 38.70/25.19 tff(1040,plain,
% 38.70/25.19 (^[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)))),
% 38.70/25.19 inference(bind,[status(th)],[])).
% 38.70/25.19 tff(1041,plain,
% 38.70/25.19 (![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))),
% 38.70/25.19 inference(quant_intro,[status(thm)],[1040])).
% 38.70/25.19 tff(1042,plain,
% 38.70/25.19 (![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))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1043,plain,
% 38.70/25.19 (^[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))))),
% 38.70/25.19 inference(bind,[status(th)],[])).
% 38.70/25.19 tff(1044,plain,
% 38.70/25.19 (![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))),
% 38.70/25.19 inference(quant_intro,[status(thm)],[1043])).
% 38.70/25.19 tff(1045,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 38.70/25.19 tff(1046,plain,
% 38.70/25.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 38.70/25.19 tff(1047,plain,
% 38.70/25.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1046, 1042])).
% 38.70/25.19 tff(1048,plain,(
% 38.70/25.19 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 38.70/25.19 inference(skolemize,[status(sab)],[1047])).
% 38.70/25.19 tff(1049,plain,
% 38.70/25.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1048, 1041])).
% 38.70/25.19 tff(1050,plain,
% 38.70/25.19 (((~![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))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1051,plain,
% 38.70/25.19 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)) <=> ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1052,plain,
% 38.70/25.19 (((~![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)))),
% 38.70/25.19 inference(monotonicity,[status(thm)],[1051])).
% 38.70/25.19 tff(1053,plain,
% 38.70/25.19 (((~![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))),
% 38.70/25.19 inference(transitivity,[status(thm)],[1052, 1050])).
% 38.70/25.19 tff(1054,plain,
% 38.70/25.19 ((~![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))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1055,plain,
% 38.70/25.19 ((~![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)),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1054, 1053])).
% 38.70/25.19 tff(1056,plain,
% 38.70/25.19 ((~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1055, 1049, 1014])).
% 38.70/25.19 tff(1057,plain,
% 38.70/25.19 ((~v90(constB4, bitIndex1)) | v90(constB5, bitIndex1)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1056, 1026])).
% 38.70/25.19 tff(1058,plain,
% 38.70/25.19 (v90(constB5, bitIndex1)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1057, 1039])).
% 38.70/25.19 tff(1059,assumption,(v127(constB3, bitIndex0)), introduced(assumption)).
% 38.70/25.19 tff(1060,plain,
% 38.70/25.19 (v26(constB3)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[951, 1059])).
% 38.70/25.19 tff(1061,plain,
% 38.70/25.19 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 38.70/25.19 inference(bind,[status(th)],[])).
% 38.70/25.19 tff(1062,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.19 inference(quant_intro,[status(thm)],[1061])).
% 38.70/25.19 tff(1063,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1064,plain,
% 38.70/25.19 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 38.70/25.19 inference(bind,[status(th)],[])).
% 38.70/25.19 tff(1065,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.19 inference(quant_intro,[status(thm)],[1064])).
% 38.70/25.19 tff(1066,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 38.70/25.19 tff(1067,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 38.70/25.19 tff(1068,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1067, 1063])).
% 38.70/25.19 tff(1069,plain,(
% 38.70/25.19 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.19 inference(skolemize,[status(sab)],[1068])).
% 38.70/25.19 tff(1070,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1069, 1062])).
% 38.70/25.19 tff(1071,plain,
% 38.70/25.19 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB3)) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB3)) | (~v127(constB3, bitIndex0)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1072,plain,
% 38.70/25.19 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB3)) | (~v127(constB3, bitIndex0)))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1073,plain,
% 38.70/25.19 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB3)) | (~v127(constB3, bitIndex0))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 38.70/25.19 tff(1074,plain,
% 38.70/25.19 ($false),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1073, 1070, 1059, 1060])).
% 38.70/25.19 tff(1075,plain,(~v127(constB3, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 38.70/25.19 tff(1076,plain,
% 38.70/25.19 (~v129(constB4, bitIndex0)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[966, 1075])).
% 38.70/25.19 tff(1077,plain,
% 38.70/25.19 ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[983, 977, 1006])).
% 38.70/25.19 tff(1078,plain,
% 38.70/25.19 (~v90(constB4, bitIndex0)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1077, 1076])).
% 38.70/25.19 tff(1079,plain,
% 38.70/25.19 (((~![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)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1080,plain,
% 38.70/25.19 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))) <=> (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1081,plain,
% 38.70/25.19 (((~![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))))),
% 38.70/25.19 inference(monotonicity,[status(thm)],[1080])).
% 38.70/25.19 tff(1082,plain,
% 38.70/25.19 (((~![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)))),
% 38.70/25.19 inference(transitivity,[status(thm)],[1081, 1079])).
% 38.70/25.19 tff(1083,plain,
% 38.70/25.19 ((~![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)))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1084,plain,
% 38.70/25.19 ((~![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))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 38.70/25.19 tff(1085,plain,
% 38.70/25.19 (v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1084, 207, 1014])).
% 38.70/25.19 tff(1086,plain,
% 38.70/25.19 (v90(constB4, bitIndex0) | (~v90(constB5, bitIndex0))),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1085, 1026])).
% 38.70/25.19 tff(1087,plain,
% 38.70/25.19 (~v90(constB5, bitIndex0)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1086, 1078])).
% 38.70/25.19 tff(1088,plain,
% 38.70/25.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1089,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1090,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5)),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 38.70/25.19 tff(1091,plain,
% 38.70/25.19 ((~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1090, 996, 1087])).
% 38.70/25.19 tff(1092,plain,
% 38.70/25.19 (v121(constB5)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1091, 1035, 1058])).
% 38.70/25.19 tff(1093,plain,
% 38.70/25.19 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 38.70/25.19 inference(bind,[status(th)],[])).
% 38.70/25.19 tff(1094,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.19 inference(quant_intro,[status(thm)],[1093])).
% 38.70/25.19 tff(1095,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1096,plain,
% 38.70/25.19 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 38.70/25.19 inference(bind,[status(th)],[])).
% 38.70/25.19 tff(1097,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.19 inference(quant_intro,[status(thm)],[1096])).
% 38.70/25.19 tff(1098,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_3')).
% 38.70/25.19 tff(1099,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 38.70/25.19 tff(1100,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1099, 1095])).
% 38.70/25.19 tff(1101,plain,(
% 38.70/25.19 ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.19 inference(skolemize,[status(sab)],[1100])).
% 38.70/25.19 tff(1102,plain,
% 38.70/25.19 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1101, 1094])).
% 38.70/25.19 tff(1103,plain,
% 38.70/25.19 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v130(constB5, bitIndex2)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1104,plain,
% 38.70/25.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v130(constB5, bitIndex2)))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1105,plain,
% 38.70/25.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v130(constB5, bitIndex2))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1104, 1103])).
% 38.70/25.19 tff(1106,plain,
% 38.70/25.19 (~v130(constB5, bitIndex2)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1105, 1102, 1092])).
% 38.70/25.19 tff(1107,assumption,(~v113(constB9)), introduced(assumption)).
% 38.70/25.19 tff(1108,plain,
% 38.70/25.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1109,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1110,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 38.70/25.19 tff(1111,plain,
% 38.70/25.19 (~v114(constB9)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1110, 294, 1107])).
% 38.70/25.19 tff(1112,plain,
% 38.70/25.19 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1113,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1114,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1113, 1112])).
% 38.70/25.19 tff(1115,plain,
% 38.70/25.19 (~v115(constB9)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1114, 283, 1111])).
% 38.70/25.19 tff(1116,plain,
% 38.70/25.19 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB9) | (~v116(constB9)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB9) | (~v116(constB9)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1117,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB9) | (~v116(constB9)))),
% 38.70/25.19 inference(quant_inst,[status(thm)],[])).
% 38.70/25.19 tff(1118,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB9) | (~v116(constB9))),
% 38.70/25.19 inference(modus_ponens,[status(thm)],[1117, 1116])).
% 38.70/25.19 tff(1119,plain,
% 38.70/25.19 (~v116(constB9)),
% 38.70/25.19 inference(unit_resolution,[status(thm)],[1118, 272, 1115])).
% 38.70/25.19 tff(1120,plain,
% 38.70/25.19 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB9) | (~v117(constB9)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB9) | (~v117(constB9)))),
% 38.70/25.19 inference(rewrite,[status(thm)],[])).
% 38.70/25.19 tff(1121,plain,
% 38.70/25.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB9) | (~v117(constB9)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1122,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB9) | (~v117(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 38.70/25.20 tff(1123,plain,
% 38.70/25.20 (~v117(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1122, 261, 1119])).
% 38.70/25.20 tff(1124,plain,
% 38.70/25.20 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v121(VarCurr))) <=> (v117(VarCurr) | (~v121(VarCurr))))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1125,plain,
% 38.70/25.20 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1124])).
% 38.70/25.20 tff(1126,plain,
% 38.70/25.20 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1127,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 38.70/25.20 tff(1128,plain,
% 38.70/25.20 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 38.70/25.20 tff(1129,plain,(
% 38.70/25.20 ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 38.70/25.20 inference(skolemize,[status(sab)],[1128])).
% 38.70/25.20 tff(1130,plain,
% 38.70/25.20 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1129, 1125])).
% 38.70/25.20 tff(1131,plain,
% 38.70/25.20 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB9) | (~v121(constB9)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB9) | (~v121(constB9)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1132,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB9) | (~v121(constB9)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1133,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB9) | (~v121(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 38.70/25.20 tff(1134,plain,
% 38.70/25.20 (~v121(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1133, 1130, 1123])).
% 38.70/25.20 tff(1135,plain,
% 38.70/25.20 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB9) | (~v118(constB9)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB9) | (~v118(constB9)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1136,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB9) | (~v118(constB9)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1137,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB9) | (~v118(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 38.70/25.20 tff(1138,plain,
% 38.70/25.20 (~v118(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1137, 250, 1123])).
% 38.70/25.20 tff(1139,plain,
% 38.70/25.20 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB9) | (~v119(constB9)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB9) | (~v119(constB9)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1140,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB9) | (~v119(constB9)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1141,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB9) | (~v119(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 38.70/25.20 tff(1142,plain,
% 38.70/25.20 (~v119(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1141, 239, 1138])).
% 38.70/25.20 tff(1143,plain,
% 38.70/25.20 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v122(VarCurr))) <=> (v116(VarCurr) | (~v122(VarCurr))))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1144,plain,
% 38.70/25.20 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1143])).
% 38.70/25.20 tff(1145,plain,
% 38.70/25.20 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1146,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 38.70/25.20 tff(1147,plain,
% 38.70/25.20 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1146, 1145])).
% 38.70/25.20 tff(1148,plain,(
% 38.70/25.20 ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 38.70/25.20 inference(skolemize,[status(sab)],[1147])).
% 38.70/25.20 tff(1149,plain,
% 38.70/25.20 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1148, 1144])).
% 38.70/25.20 tff(1150,plain,
% 38.70/25.20 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB9) | (~v122(constB9)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB9) | (~v122(constB9)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1151,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB9) | (~v122(constB9)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1152,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB9) | (~v122(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1151, 1150])).
% 38.70/25.20 tff(1153,plain,
% 38.70/25.20 (~v122(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1152, 1149, 1119])).
% 38.70/25.20 tff(1154,plain,
% 38.70/25.20 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB9) | (~v120(constB9)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB9) | (~v120(constB9)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1155,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB9) | (~v120(constB9)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1156,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB9) | (~v120(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1155, 1154])).
% 38.70/25.20 tff(1157,plain,
% 38.70/25.20 (~v120(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1156, 778, 1138])).
% 38.70/25.20 tff(1158,assumption,(~v90(constB9, bitIndex2)), introduced(assumption)).
% 38.70/25.20 tff(1159,assumption,(~v121(constB9)), introduced(assumption)).
% 38.70/25.20 tff(1160,assumption,(~v119(constB9)), introduced(assumption)).
% 38.70/25.20 tff(1161,assumption,(~v90(constB9, bitIndex0)), introduced(assumption)).
% 38.70/25.20 tff(1162,plain,
% 38.70/25.20 (((~![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))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1163,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1164,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9)),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1163, 1162])).
% 38.70/25.20 tff(1165,plain,
% 38.70/25.20 (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1164, 996, 1159])).
% 38.70/25.20 tff(1166,plain,
% 38.70/25.20 (~v90(constB9, bitIndex1)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1165, 1161, 1158])).
% 38.70/25.20 tff(1167,plain,
% 38.70/25.20 (((~![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))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1168,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB9) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1169,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB9) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2)),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1168, 1167])).
% 38.70/25.20 tff(1170,plain,
% 38.70/25.20 (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1169, 228, 1160])).
% 38.70/25.20 tff(1171,plain,
% 38.70/25.20 ($false),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1170, 1166, 1161, 1158])).
% 38.70/25.20 tff(1172,plain,(v90(constB9, bitIndex0) | v90(constB9, bitIndex2) | v119(constB9) | v121(constB9)), inference(lemma,lemma(discharge,[]))).
% 38.70/25.20 tff(1173,plain,
% 38.70/25.20 (v90(constB9, bitIndex0)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1172, 1158, 1160, 1159])).
% 38.70/25.20 tff(1174,assumption,(~v122(constB9)), introduced(assumption)).
% 38.70/25.20 tff(1175,plain,
% 38.70/25.20 (^[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)))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1176,plain,
% 38.70/25.20 (![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))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1175])).
% 38.70/25.20 tff(1177,plain,
% 38.70/25.20 (![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))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1178,plain,
% 38.70/25.20 (^[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))))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1179,plain,
% 38.70/25.20 (![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))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1178])).
% 38.70/25.20 tff(1180,axiom,(![VarCurr: $i] : (((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 38.70/25.20 tff(1181,plain,
% 38.70/25.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1180, 1179])).
% 38.70/25.20 tff(1182,plain,
% 38.70/25.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1181, 1177])).
% 38.70/25.20 tff(1183,plain,(
% 38.70/25.20 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 38.70/25.20 inference(skolemize,[status(sab)],[1182])).
% 38.70/25.20 tff(1184,plain,
% 38.70/25.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1183, 1176])).
% 38.70/25.20 tff(1185,plain,
% 38.70/25.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB9, bitIndex0)) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v122(constB9))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB9, bitIndex0)) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v122(constB9))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1186,plain,
% 38.70/25.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB9, bitIndex0)) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v122(constB9))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1187,plain,
% 38.70/25.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB9, bitIndex0)) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v122(constB9)),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 38.70/25.20 tff(1188,plain,
% 38.70/25.20 ((~v90(constB9, bitIndex0)) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1187, 1184, 1174])).
% 38.70/25.20 tff(1189,plain,
% 38.70/25.20 (~v90(constB9, bitIndex1)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1188, 1173, 1158])).
% 38.70/25.20 tff(1190,assumption,(~v120(constB9)), introduced(assumption)).
% 38.70/25.20 tff(1191,plain,
% 38.70/25.20 (((~![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))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1192,plain,
% 38.70/25.20 (((~v90(constB9, bitIndex0)) | v120(constB9) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2)) <=> ((~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2) | v120(constB9))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1193,plain,
% 38.70/25.20 (((~![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)))),
% 38.70/25.20 inference(monotonicity,[status(thm)],[1192])).
% 38.70/25.20 tff(1194,plain,
% 38.70/25.20 (((~![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))),
% 38.70/25.20 inference(transitivity,[status(thm)],[1193, 1191])).
% 38.70/25.20 tff(1195,plain,
% 38.70/25.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB9, bitIndex0)) | v120(constB9) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1196,plain,
% 38.70/25.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2) | v120(constB9)),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1195, 1194])).
% 38.70/25.20 tff(1197,plain,
% 38.70/25.20 ((~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1196, 668, 1190])).
% 38.70/25.20 tff(1198,plain,
% 38.70/25.20 ($false),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1197, 1189, 1173, 1158])).
% 38.70/25.20 tff(1199,plain,(v90(constB9, bitIndex2) | v120(constB9) | v122(constB9) | v119(constB9) | v121(constB9)), inference(lemma,lemma(discharge,[]))).
% 38.70/25.20 tff(1200,plain,
% 38.70/25.20 (v90(constB9, bitIndex2)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1199, 1157, 1153, 1142, 1134])).
% 38.70/25.20 tff(1201,plain,
% 38.70/25.20 ((~v1(constB9)) <=> (~v1(constB9))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1202,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 38.70/25.20 tff(1203,plain,
% 38.70/25.20 (~v1(constB9)),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 38.70/25.20 tff(1204,plain,
% 38.70/25.20 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1205,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 38.70/25.20 tff(1206,plain,
% 38.70/25.20 (nextState(constB8, constB9)),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 38.70/25.20 tff(1207,plain,
% 38.70/25.20 (((~![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)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1208,plain,
% 38.70/25.20 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1209,plain,
% 38.70/25.20 (((~![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))))),
% 38.70/25.20 inference(monotonicity,[status(thm)],[1208])).
% 38.70/25.20 tff(1210,plain,
% 38.70/25.20 (((~![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)))),
% 38.70/25.20 inference(transitivity,[status(thm)],[1209, 1207])).
% 38.70/25.20 tff(1211,plain,
% 38.70/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1212,plain,
% 38.70/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 38.70/25.20 tff(1213,plain,
% 38.70/25.20 (~v101(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1212, 133, 1206, 1203])).
% 38.70/25.20 tff(1214,plain,
% 38.70/25.20 (((~![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)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1215,plain,
% 38.70/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1216,plain,
% 38.70/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 38.70/25.20 tff(1217,plain,
% 38.70/25.20 (v101(constB9) | (~v100(constB9))),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1216, 150, 1206])).
% 38.70/25.20 tff(1218,plain,
% 38.70/25.20 (~v100(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1217, 1213])).
% 38.70/25.20 tff(1219,plain,
% 38.70/25.20 (((~![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)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1220,plain,
% 38.70/25.20 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1221,plain,
% 38.70/25.20 (((~![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))))),
% 38.70/25.20 inference(monotonicity,[status(thm)],[1220])).
% 38.70/25.20 tff(1222,plain,
% 38.70/25.20 (((~![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)))),
% 38.70/25.20 inference(transitivity,[status(thm)],[1221, 1219])).
% 38.70/25.20 tff(1223,plain,
% 38.70/25.20 ((~![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)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1224,plain,
% 38.70/25.20 ((~![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))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1223, 1222])).
% 38.70/25.20 tff(1225,plain,
% 38.70/25.20 (v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1224, 165, 1206])).
% 38.70/25.20 tff(1226,plain,
% 38.70/25.20 (v90(constB8, bitIndex2) | (~v90(constB9, bitIndex2))),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1225, 1218])).
% 38.70/25.20 tff(1227,plain,
% 38.70/25.20 (v90(constB8, bitIndex2)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1226, 1200])).
% 38.70/25.20 tff(1228,assumption,(~v130(constB5, bitIndex2)), introduced(assumption)).
% 38.70/25.20 tff(1229,assumption,(~v90(constB5, bitIndex2)), introduced(assumption)).
% 38.70/25.20 tff(1230,plain,
% 38.70/25.20 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v124(VarCurr))) <=> (v114(VarCurr) | (~v124(VarCurr))))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1231,plain,
% 38.70/25.20 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1230])).
% 38.70/25.20 tff(1232,plain,
% 38.70/25.20 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1233,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 38.70/25.20 tff(1234,plain,
% 38.70/25.20 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1233, 1232])).
% 38.70/25.20 tff(1235,plain,(
% 38.70/25.20 ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 38.70/25.20 inference(skolemize,[status(sab)],[1234])).
% 38.70/25.20 tff(1236,plain,
% 38.70/25.20 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1235, 1231])).
% 38.70/25.20 tff(1237,plain,
% 38.70/25.20 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB9) | (~v124(constB9)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB9) | (~v124(constB9)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1238,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB9) | (~v124(constB9)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1239,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB9) | (~v124(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 38.70/25.20 tff(1240,plain,
% 38.70/25.20 (~v124(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1239, 1236, 1111])).
% 38.70/25.20 tff(1241,plain,
% 38.70/25.20 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v123(VarCurr))) <=> (v115(VarCurr) | (~v123(VarCurr))))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1242,plain,
% 38.70/25.20 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1241])).
% 38.70/25.20 tff(1243,plain,
% 38.70/25.20 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1244,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 38.70/25.20 tff(1245,plain,
% 38.70/25.20 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1244, 1243])).
% 38.70/25.20 tff(1246,plain,(
% 38.70/25.20 ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 38.70/25.20 inference(skolemize,[status(sab)],[1245])).
% 38.70/25.20 tff(1247,plain,
% 38.70/25.20 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1246, 1242])).
% 38.70/25.20 tff(1248,plain,
% 38.70/25.20 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB9) | (~v123(constB9)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB9) | (~v123(constB9)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1249,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB9) | (~v123(constB9)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1250,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB9) | (~v123(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 38.70/25.20 tff(1251,plain,
% 38.70/25.20 (~v123(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1250, 1247, 1115])).
% 38.70/25.20 tff(1252,assumption,(v90(constB9, bitIndex2)), introduced(assumption)).
% 38.70/25.20 tff(1253,assumption,(~v90(constB9, bitIndex1)), introduced(assumption)).
% 38.70/25.20 tff(1254,assumption,(~v124(constB9)), introduced(assumption)).
% 38.70/25.20 tff(1255,plain,
% 38.70/25.20 (^[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)))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1256,plain,
% 38.70/25.20 (![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))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1255])).
% 38.70/25.20 tff(1257,plain,
% 38.70/25.20 (![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))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1258,plain,
% 38.70/25.20 (^[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))))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1259,plain,
% 38.70/25.20 (![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))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1258])).
% 38.70/25.20 tff(1260,axiom,(![VarCurr: $i] : (((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 38.70/25.20 tff(1261,plain,
% 38.70/25.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 38.70/25.20 tff(1262,plain,
% 38.70/25.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1261, 1257])).
% 38.70/25.20 tff(1263,plain,(
% 38.70/25.20 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 38.70/25.20 inference(skolemize,[status(sab)],[1262])).
% 38.70/25.20 tff(1264,plain,
% 38.70/25.20 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1263, 1256])).
% 38.70/25.20 tff(1265,plain,
% 38.70/25.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v124(constB9))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v124(constB9))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1266,plain,
% 38.70/25.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v124(constB9))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1267,plain,
% 38.70/25.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v124(constB9)),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1266, 1265])).
% 38.70/25.20 tff(1268,plain,
% 38.70/25.20 ((~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2))),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1267, 1264, 1254])).
% 38.70/25.20 tff(1269,plain,
% 38.70/25.20 (~v90(constB9, bitIndex0)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1268, 1253, 1252])).
% 38.70/25.20 tff(1270,assumption,(~v123(constB9)), introduced(assumption)).
% 38.70/25.20 tff(1271,plain,
% 38.70/25.20 (^[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)))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1272,plain,
% 38.70/25.20 (![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))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1271])).
% 38.70/25.20 tff(1273,plain,
% 38.70/25.20 (![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))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1274,plain,
% 38.70/25.20 (^[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))))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1275,plain,
% 38.70/25.20 (![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))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1274])).
% 38.70/25.20 tff(1276,axiom,(![VarCurr: $i] : (((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 38.70/25.20 tff(1277,plain,
% 38.70/25.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 38.70/25.20 tff(1278,plain,
% 38.70/25.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1277, 1273])).
% 38.70/25.20 tff(1279,plain,(
% 38.70/25.20 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 38.70/25.20 inference(skolemize,[status(sab)],[1278])).
% 38.70/25.20 tff(1280,plain,
% 38.70/25.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1279, 1272])).
% 38.70/25.20 tff(1281,plain,
% 38.70/25.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1282,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1283,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9)),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1282, 1281])).
% 38.70/25.20 tff(1284,plain,
% 38.70/25.20 (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2))),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1283, 1280, 1270])).
% 38.70/25.20 tff(1285,plain,
% 38.70/25.20 ($false),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1284, 1269, 1253, 1252])).
% 38.70/25.20 tff(1286,plain,(v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9) | v124(constB9)), inference(lemma,lemma(discharge,[]))).
% 38.70/25.20 tff(1287,plain,
% 38.70/25.20 (v90(constB9, bitIndex1)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1286, 1200, 1251, 1240])).
% 38.70/25.20 tff(1288,plain,
% 38.70/25.20 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v125(VarCurr))) <=> (v113(VarCurr) | (~v125(VarCurr))))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1289,plain,
% 38.70/25.20 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 38.70/25.20 inference(quant_intro,[status(thm)],[1288])).
% 38.70/25.20 tff(1290,plain,
% 38.70/25.20 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1291,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 38.70/25.20 tff(1292,plain,
% 38.70/25.20 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1291, 1290])).
% 38.70/25.20 tff(1293,plain,(
% 38.70/25.20 ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 38.70/25.20 inference(skolemize,[status(sab)],[1292])).
% 38.70/25.20 tff(1294,plain,
% 38.70/25.20 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1293, 1289])).
% 38.70/25.20 tff(1295,plain,
% 38.70/25.20 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB9) | (~v125(constB9)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB9) | (~v125(constB9)))),
% 38.70/25.20 inference(rewrite,[status(thm)],[])).
% 38.70/25.20 tff(1296,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB9) | (~v125(constB9)))),
% 38.70/25.20 inference(quant_inst,[status(thm)],[])).
% 38.70/25.20 tff(1297,plain,
% 38.70/25.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB9) | (~v125(constB9))),
% 38.70/25.20 inference(modus_ponens,[status(thm)],[1296, 1295])).
% 38.70/25.20 tff(1298,plain,
% 38.70/25.20 (~v125(constB9)),
% 38.70/25.20 inference(unit_resolution,[status(thm)],[1297, 1294, 1107])).
% 38.70/25.20 tff(1299,plain,
% 38.70/25.20 (^[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)))),
% 38.70/25.20 inference(bind,[status(th)],[])).
% 38.70/25.20 tff(1300,plain,
% 38.70/25.20 (![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))),
% 38.70/25.21 inference(quant_intro,[status(thm)],[1299])).
% 38.70/25.21 tff(1301,plain,
% 38.70/25.21 (![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))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1302,plain,
% 38.70/25.21 (^[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))))),
% 38.70/25.21 inference(bind,[status(th)],[])).
% 38.70/25.21 tff(1303,plain,
% 38.70/25.21 (![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))),
% 38.70/25.21 inference(quant_intro,[status(thm)],[1302])).
% 38.70/25.21 tff(1304,axiom,(![VarCurr: $i] : (((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 38.70/25.21 tff(1305,plain,
% 38.70/25.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 38.70/25.21 tff(1306,plain,
% 38.70/25.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1305, 1301])).
% 38.70/25.21 tff(1307,plain,(
% 38.70/25.21 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 38.70/25.21 inference(skolemize,[status(sab)],[1306])).
% 38.70/25.21 tff(1308,plain,
% 38.70/25.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1307, 1300])).
% 38.70/25.21 tff(1309,plain,
% 38.70/25.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | (~v90(constB9, bitIndex2)) | v125(constB9))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | (~v90(constB9, bitIndex2)) | v125(constB9))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1310,plain,
% 38.70/25.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | (~v90(constB9, bitIndex2)) | v125(constB9))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1311,plain,
% 38.70/25.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | (~v90(constB9, bitIndex2)) | v125(constB9)),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1310, 1309])).
% 38.70/25.21 tff(1312,plain,
% 38.70/25.21 (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | (~v90(constB9, bitIndex2))),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1311, 1308, 1298])).
% 38.70/25.21 tff(1313,plain,
% 38.70/25.21 (v90(constB9, bitIndex0)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1312, 1287, 1200])).
% 38.70/25.21 tff(1314,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1315,plain,
% 38.70/25.21 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))) <=> (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1316,plain,
% 38.70/25.21 (((~![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))))),
% 38.70/25.21 inference(monotonicity,[status(thm)],[1315])).
% 38.70/25.21 tff(1317,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(transitivity,[status(thm)],[1316, 1314])).
% 38.70/25.21 tff(1318,plain,
% 38.70/25.21 ((~![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)))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1319,plain,
% 38.70/25.21 ((~![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))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1318, 1317])).
% 38.70/25.21 tff(1320,plain,
% 38.70/25.21 (v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1319, 207, 1206])).
% 38.70/25.21 tff(1321,plain,
% 38.70/25.21 (v90(constB8, bitIndex0) | (~v90(constB9, bitIndex0))),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1320, 1218])).
% 38.70/25.21 tff(1322,plain,
% 38.70/25.21 (v90(constB8, bitIndex0)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1321, 1313])).
% 38.70/25.21 tff(1323,assumption,(v90(constB8, bitIndex2)), introduced(assumption)).
% 38.70/25.21 tff(1324,assumption,(~v100(constB8)), introduced(assumption)).
% 38.70/25.21 tff(1325,plain,
% 38.70/25.21 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1326,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 38.70/25.21 tff(1327,plain,
% 38.70/25.21 (nextState(constB7, constB8)),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1326, 1325])).
% 38.70/25.21 tff(1328,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1329,plain,
% 38.70/25.21 (((~nextState(constB7, constB8)) | v90(constB7, bitIndex2) | v100(constB8) | (~v90(constB8, bitIndex2))) <=> (v90(constB7, bitIndex2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex2)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1330,plain,
% 38.70/25.21 (((~![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))))),
% 38.70/25.21 inference(monotonicity,[status(thm)],[1329])).
% 38.70/25.21 tff(1331,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(transitivity,[status(thm)],[1330, 1328])).
% 38.70/25.21 tff(1332,plain,
% 38.70/25.21 ((~![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)))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1333,plain,
% 38.70/25.21 ((~![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))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 38.70/25.21 tff(1334,plain,
% 38.70/25.21 (v90(constB7, bitIndex2) | v100(constB8) | (~v90(constB8, bitIndex2))),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1333, 165, 1327])).
% 38.70/25.21 tff(1335,plain,
% 38.70/25.21 (v90(constB7, bitIndex2)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1334, 1324, 1323])).
% 38.70/25.21 tff(1336,plain,
% 38.70/25.21 ((~v1(constB7)) <=> (~v1(constB7))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1337,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 38.70/25.21 tff(1338,plain,
% 38.70/25.21 (~v1(constB7)),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1337, 1336])).
% 38.70/25.21 tff(1339,plain,
% 38.70/25.21 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1340,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 38.70/25.21 tff(1341,plain,
% 38.70/25.21 (nextState(constB6, constB7)),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 38.70/25.21 tff(1342,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1343,plain,
% 38.70/25.21 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1344,plain,
% 38.70/25.21 (((~![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))))),
% 38.70/25.21 inference(monotonicity,[status(thm)],[1343])).
% 38.70/25.21 tff(1345,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(transitivity,[status(thm)],[1344, 1342])).
% 38.70/25.21 tff(1346,plain,
% 38.70/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1347,plain,
% 38.70/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1346, 1345])).
% 38.70/25.21 tff(1348,plain,
% 38.70/25.21 (~v101(constB7)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1347, 133, 1341, 1338])).
% 38.70/25.21 tff(1349,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1350,plain,
% 38.70/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1351,plain,
% 38.70/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 38.70/25.21 tff(1352,plain,
% 38.70/25.21 (v101(constB7) | (~v100(constB7))),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1351, 150, 1341])).
% 38.70/25.21 tff(1353,plain,
% 38.70/25.21 (~v100(constB7)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1352, 1348])).
% 38.70/25.21 tff(1354,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1355,plain,
% 38.70/25.21 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))) <=> (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1356,plain,
% 38.70/25.21 (((~![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))))),
% 38.70/25.21 inference(monotonicity,[status(thm)],[1355])).
% 38.70/25.21 tff(1357,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(transitivity,[status(thm)],[1356, 1354])).
% 38.70/25.21 tff(1358,plain,
% 38.70/25.21 ((~![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)))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1359,plain,
% 38.70/25.21 ((~![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))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 38.70/25.21 tff(1360,plain,
% 38.70/25.21 (v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1359, 165, 1341])).
% 38.70/25.21 tff(1361,plain,
% 38.70/25.21 (v90(constB6, bitIndex2) | (~v90(constB7, bitIndex2))),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1360, 1353])).
% 38.70/25.21 tff(1362,plain,
% 38.70/25.21 (v90(constB6, bitIndex2)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1361, 1335])).
% 38.70/25.21 tff(1363,plain,
% 38.70/25.21 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1364,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 38.70/25.21 tff(1365,plain,
% 38.70/25.21 (nextState(constB5, constB6)),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 38.70/25.21 tff(1366,plain,
% 38.70/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1367,plain,
% 38.70/25.21 (((~nextState(constB5, constB6)) | v90(constB5, bitIndex2) | v100(constB6) | (~v90(constB6, bitIndex2))) <=> (v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1368,plain,
% 38.70/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex2) | v100(constB6) | (~v90(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2))))),
% 38.70/25.21 inference(monotonicity,[status(thm)],[1367])).
% 38.70/25.21 tff(1369,plain,
% 38.70/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex2) | v100(constB6) | (~v90(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2)))),
% 38.70/25.21 inference(transitivity,[status(thm)],[1368, 1366])).
% 38.70/25.21 tff(1370,plain,
% 38.70/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex2) | v100(constB6) | (~v90(constB6, bitIndex2)))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1371,plain,
% 38.70/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1370, 1369])).
% 38.70/25.21 tff(1372,plain,
% 38.70/25.21 (v90(constB5, bitIndex2) | v100(constB6) | (~v90(constB6, bitIndex2))),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1371, 165, 1365])).
% 38.70/25.21 tff(1373,plain,
% 38.70/25.21 (v100(constB6)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1372, 1362, 1229])).
% 38.70/25.21 tff(1374,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1375,plain,
% 38.70/25.21 (((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2)) <=> ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1376,plain,
% 38.70/25.21 (((~![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))))),
% 38.70/25.21 inference(monotonicity,[status(thm)],[1375])).
% 38.70/25.21 tff(1377,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(transitivity,[status(thm)],[1376, 1374])).
% 38.70/25.21 tff(1378,plain,
% 38.70/25.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1379,plain,
% 38.70/25.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1378, 1377])).
% 38.70/25.21 tff(1380,plain,
% 38.70/25.21 (v129(constB6, bitIndex2)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1379, 468, 1373, 1362])).
% 38.70/25.21 tff(1381,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1382,plain,
% 38.70/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1383,plain,
% 38.70/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 38.70/25.21 tff(1384,plain,
% 38.70/25.21 (v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1383, 453, 1365])).
% 38.70/25.21 tff(1385,plain,
% 38.70/25.21 (v127(constB5, bitIndex2)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1384, 1380])).
% 38.70/25.21 tff(1386,plain,
% 38.70/25.21 (((~![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))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1387,plain,
% 38.70/25.21 ((v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2))) <=> ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1388,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(monotonicity,[status(thm)],[1387])).
% 38.70/25.21 tff(1389,plain,
% 38.70/25.21 (((~![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))),
% 38.70/25.21 inference(transitivity,[status(thm)],[1388, 1386])).
% 38.70/25.21 tff(1390,plain,
% 38.70/25.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1391,plain,
% 38.70/25.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1390, 1389])).
% 38.70/25.21 tff(1392,plain,
% 38.70/25.21 ((~v127(constB5, bitIndex2)) | v26(constB5)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1391, 435, 1228])).
% 38.70/25.21 tff(1393,plain,
% 38.70/25.21 (v26(constB5)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1392, 1385])).
% 38.70/25.21 tff(1394,assumption,(v90(constB8, bitIndex0)), introduced(assumption)).
% 38.70/25.21 tff(1395,plain,
% 38.70/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1396,plain,
% 38.70/25.21 (((~nextState(constB7, constB8)) | v90(constB7, bitIndex0) | v100(constB8) | (~v90(constB8, bitIndex0))) <=> (v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1397,plain,
% 38.70/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex0) | v100(constB8) | (~v90(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0))))),
% 38.70/25.21 inference(monotonicity,[status(thm)],[1396])).
% 38.70/25.21 tff(1398,plain,
% 38.70/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex0) | v100(constB8) | (~v90(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0)))),
% 38.70/25.21 inference(transitivity,[status(thm)],[1397, 1395])).
% 38.70/25.21 tff(1399,plain,
% 38.70/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex0) | v100(constB8) | (~v90(constB8, bitIndex0)))),
% 38.70/25.21 inference(quant_inst,[status(thm)],[])).
% 38.70/25.21 tff(1400,plain,
% 38.70/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0))),
% 38.70/25.21 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 38.70/25.21 tff(1401,plain,
% 38.70/25.21 (v90(constB7, bitIndex0) | v100(constB8) | (~v90(constB8, bitIndex0))),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1400, 207, 1327])).
% 38.70/25.21 tff(1402,plain,
% 38.70/25.21 (v90(constB7, bitIndex0)),
% 38.70/25.21 inference(unit_resolution,[status(thm)],[1401, 1324, 1394])).
% 38.70/25.21 tff(1403,plain,
% 38.70/25.21 (((~![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)))),
% 38.70/25.21 inference(rewrite,[status(thm)],[])).
% 38.70/25.21 tff(1404,plain,
% 38.70/25.21 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1405,plain,
% 38.78/25.22 (((~![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))))),
% 38.78/25.22 inference(monotonicity,[status(thm)],[1404])).
% 38.78/25.22 tff(1406,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(transitivity,[status(thm)],[1405, 1403])).
% 38.78/25.22 tff(1407,plain,
% 38.78/25.22 ((~![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)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1408,plain,
% 38.78/25.22 ((~![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))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1407, 1406])).
% 38.78/25.22 tff(1409,plain,
% 38.78/25.22 (v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0))),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1408, 207, 1341])).
% 38.78/25.22 tff(1410,plain,
% 38.78/25.22 (v90(constB6, bitIndex0) | (~v90(constB7, bitIndex0))),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1409, 1353])).
% 38.78/25.22 tff(1411,plain,
% 38.78/25.22 (v90(constB6, bitIndex0)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1410, 1402])).
% 38.78/25.22 tff(1412,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1413,plain,
% 38.78/25.22 (((~v90(constB6, bitIndex0)) | (~v100(constB6)) | v129(constB6, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1414,plain,
% 38.78/25.22 (((~![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))))),
% 38.78/25.22 inference(monotonicity,[status(thm)],[1413])).
% 38.78/25.22 tff(1415,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(transitivity,[status(thm)],[1414, 1412])).
% 38.78/25.22 tff(1416,plain,
% 38.78/25.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~v100(constB6)) | v129(constB6, bitIndex0))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1417,plain,
% 38.78/25.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 38.78/25.22 tff(1418,plain,
% 38.78/25.22 (v129(constB6, bitIndex0)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1417, 977, 1373, 1411])).
% 38.78/25.22 tff(1419,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1420,plain,
% 38.78/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1421,plain,
% 38.78/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 38.78/25.22 tff(1422,plain,
% 38.78/25.22 (v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0))),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1421, 962, 1365])).
% 38.78/25.22 tff(1423,plain,
% 38.78/25.22 (v127(constB5, bitIndex0)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1422, 1418])).
% 38.78/25.22 tff(1424,plain,
% 38.78/25.22 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB5)) | (~v127(constB5, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB5)) | (~v127(constB5, bitIndex0)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1425,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB5)) | (~v127(constB5, bitIndex0)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1426,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB5)) | (~v127(constB5, bitIndex0))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1425, 1424])).
% 38.78/25.22 tff(1427,plain,
% 38.78/25.22 ($false),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1426, 1070, 1423, 1393])).
% 38.78/25.22 tff(1428,plain,(v100(constB8) | v130(constB5, bitIndex2) | v90(constB5, bitIndex2) | (~v90(constB8, bitIndex0)) | (~v90(constB8, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 38.78/25.22 tff(1429,plain,
% 38.78/25.22 (v100(constB8)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1428, 1322, 1229, 1228, 1227])).
% 38.78/25.22 tff(1430,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1431,plain,
% 38.78/25.22 (((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2)) <=> ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1432,plain,
% 38.78/25.22 (((~![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))))),
% 38.78/25.22 inference(monotonicity,[status(thm)],[1431])).
% 38.78/25.22 tff(1433,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(transitivity,[status(thm)],[1432, 1430])).
% 38.78/25.22 tff(1434,plain,
% 38.78/25.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1435,plain,
% 38.78/25.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1434, 1433])).
% 38.78/25.22 tff(1436,plain,
% 38.78/25.22 (v129(constB8, bitIndex2) | (~v100(constB8))),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1435, 468, 1227])).
% 38.78/25.22 tff(1437,plain,
% 38.78/25.22 (v129(constB8, bitIndex2)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1436, 1429])).
% 38.78/25.22 tff(1438,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1439,plain,
% 38.78/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1440,plain,
% 38.78/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 38.78/25.22 tff(1441,plain,
% 38.78/25.22 (v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1440, 453, 1327])).
% 38.78/25.22 tff(1442,plain,
% 38.78/25.22 (v127(constB7, bitIndex2)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1441, 1437])).
% 38.78/25.22 tff(1443,plain,
% 38.78/25.22 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 38.78/25.22 inference(bind,[status(th)],[])).
% 38.78/25.22 tff(1444,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 38.78/25.22 inference(quant_intro,[status(thm)],[1443])).
% 38.78/25.22 tff(1445,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1446,plain,
% 38.78/25.22 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 38.78/25.22 inference(bind,[status(th)],[])).
% 38.78/25.22 tff(1447,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 38.78/25.22 inference(quant_intro,[status(thm)],[1446])).
% 38.78/25.22 tff(1448,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 38.78/25.22 tff(1449,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 38.78/25.22 tff(1450,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1449, 1445])).
% 38.78/25.22 tff(1451,plain,(
% 38.78/25.22 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 38.78/25.22 inference(skolemize,[status(sab)],[1450])).
% 38.78/25.22 tff(1452,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1451, 1444])).
% 38.78/25.22 tff(1453,plain,
% 38.78/25.22 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB7)) | (~v127(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB7)) | (~v127(constB7, bitIndex2)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1454,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB7)) | (~v127(constB7, bitIndex2)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1455,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB7)) | (~v127(constB7, bitIndex2))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1454, 1453])).
% 38.78/25.22 tff(1456,plain,
% 38.78/25.22 (~v26(constB7)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1455, 1452, 1442])).
% 38.78/25.22 tff(1457,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1458,plain,
% 38.78/25.22 (((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0)) <=> ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1459,plain,
% 38.78/25.22 (((~![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))))),
% 38.78/25.22 inference(monotonicity,[status(thm)],[1458])).
% 38.78/25.22 tff(1460,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(transitivity,[status(thm)],[1459, 1457])).
% 38.78/25.22 tff(1461,plain,
% 38.78/25.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1462,plain,
% 38.78/25.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 38.78/25.22 tff(1463,plain,
% 38.78/25.22 (v129(constB8, bitIndex0) | (~v100(constB8))),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1462, 977, 1322])).
% 38.78/25.22 tff(1464,plain,
% 38.78/25.22 (v129(constB8, bitIndex0)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1463, 1429])).
% 38.78/25.22 tff(1465,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1466,plain,
% 38.78/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1467,plain,
% 38.78/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1466, 1465])).
% 38.78/25.22 tff(1468,plain,
% 38.78/25.22 (v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1467, 962, 1327])).
% 38.78/25.22 tff(1469,plain,
% 38.78/25.22 (v127(constB7, bitIndex0)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1468, 1464])).
% 38.78/25.22 tff(1470,plain,
% 38.78/25.22 (((~![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))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1471,plain,
% 38.78/25.22 ((v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0))) <=> ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1472,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(monotonicity,[status(thm)],[1471])).
% 38.78/25.22 tff(1473,plain,
% 38.78/25.22 (((~![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))),
% 38.78/25.22 inference(transitivity,[status(thm)],[1472, 1470])).
% 38.78/25.22 tff(1474,plain,
% 38.78/25.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1475,plain,
% 38.78/25.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 38.78/25.22 tff(1476,plain,
% 38.78/25.22 (v130(constB7, bitIndex0)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1475, 944, 1469, 1456])).
% 38.78/25.22 tff(1477,plain,
% 38.78/25.22 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 38.78/25.22 inference(bind,[status(th)],[])).
% 38.78/25.22 tff(1478,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(quant_intro,[status(thm)],[1477])).
% 38.78/25.22 tff(1479,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1480,plain,
% 38.78/25.22 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 38.78/25.22 inference(bind,[status(th)],[])).
% 38.78/25.22 tff(1481,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(quant_intro,[status(thm)],[1480])).
% 38.78/25.22 tff(1482,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 38.78/25.22 tff(1483,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1482, 1481])).
% 38.78/25.22 tff(1484,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1483, 1479])).
% 38.78/25.22 tff(1485,plain,(
% 38.78/25.22 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(skolemize,[status(sab)],[1484])).
% 38.78/25.22 tff(1486,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1485, 1478])).
% 38.78/25.22 tff(1487,plain,
% 38.78/25.22 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB7)) | (~v130(constB7, bitIndex0)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1488,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex0)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1489,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB7)) | (~v130(constB7, bitIndex0))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 38.78/25.22 tff(1490,plain,
% 38.78/25.22 (~v122(constB7)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1489, 1486, 1476])).
% 38.78/25.22 tff(1491,plain,
% 38.78/25.22 (((~![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))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1492,plain,
% 38.78/25.22 ((v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2))) <=> ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1493,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(monotonicity,[status(thm)],[1492])).
% 38.78/25.22 tff(1494,plain,
% 38.78/25.22 (((~![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))),
% 38.78/25.22 inference(transitivity,[status(thm)],[1493, 1491])).
% 38.78/25.22 tff(1495,plain,
% 38.78/25.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1496,plain,
% 38.78/25.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2)),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1495, 1494])).
% 38.78/25.22 tff(1497,plain,
% 38.78/25.22 (v130(constB7, bitIndex2)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1496, 435, 1442, 1456])).
% 38.78/25.22 tff(1498,plain,
% 38.78/25.22 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB7)) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB7)) | (~v130(constB7, bitIndex2)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1499,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB7)) | (~v130(constB7, bitIndex2)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1500,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB7)) | (~v130(constB7, bitIndex2))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 38.78/25.22 tff(1501,plain,
% 38.78/25.22 (~v121(constB7)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1500, 1102, 1497])).
% 38.78/25.22 tff(1502,plain,
% 38.78/25.22 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB7)) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB7)) | (~v130(constB7, bitIndex2)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1503,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB7)) | (~v130(constB7, bitIndex2)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1504,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB7)) | (~v130(constB7, bitIndex2))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1503, 1502])).
% 38.78/25.22 tff(1505,plain,
% 38.78/25.22 (~v119(constB7)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1504, 421, 1497])).
% 38.78/25.22 tff(1506,plain,
% 38.78/25.22 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB7)) | (~v130(constB7, bitIndex2)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1507,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex2)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1508,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB7)) | (~v130(constB7, bitIndex2))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1507, 1506])).
% 38.78/25.22 tff(1509,plain,
% 38.78/25.22 (~v120(constB7)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1508, 685, 1497])).
% 38.78/25.22 tff(1510,plain,
% 38.78/25.22 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 38.78/25.22 inference(bind,[status(th)],[])).
% 38.78/25.22 tff(1511,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(quant_intro,[status(thm)],[1510])).
% 38.78/25.22 tff(1512,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1513,plain,
% 38.78/25.22 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 38.78/25.22 inference(bind,[status(th)],[])).
% 38.78/25.22 tff(1514,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(quant_intro,[status(thm)],[1513])).
% 38.78/25.22 tff(1515,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 38.78/25.22 tff(1516,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1515, 1514])).
% 38.78/25.22 tff(1517,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1516, 1512])).
% 38.78/25.22 tff(1518,plain,(
% 38.78/25.22 ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(skolemize,[status(sab)],[1517])).
% 38.78/25.22 tff(1519,plain,
% 38.78/25.22 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1518, 1511])).
% 38.78/25.22 tff(1520,plain,
% 38.78/25.22 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB7)) | (~v130(constB7, bitIndex0)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1521,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB7)) | (~v130(constB7, bitIndex0)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1522,plain,
% 38.78/25.22 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB7)) | (~v130(constB7, bitIndex0))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1521, 1520])).
% 38.78/25.22 tff(1523,plain,
% 38.78/25.22 (~v124(constB7)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1522, 1519, 1476])).
% 38.78/25.22 tff(1524,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1525,plain,
% 38.78/25.22 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))) <=> (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1526,plain,
% 38.78/25.22 (((~![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))))),
% 38.78/25.22 inference(monotonicity,[status(thm)],[1525])).
% 38.78/25.22 tff(1527,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(transitivity,[status(thm)],[1526, 1524])).
% 38.78/25.22 tff(1528,plain,
% 38.78/25.22 ((~![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)))),
% 38.78/25.22 inference(quant_inst,[status(thm)],[])).
% 38.78/25.22 tff(1529,plain,
% 38.78/25.22 ((~![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))),
% 38.78/25.22 inference(modus_ponens,[status(thm)],[1528, 1527])).
% 38.78/25.22 tff(1530,plain,
% 38.78/25.22 (v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1529, 186, 1206])).
% 38.78/25.22 tff(1531,plain,
% 38.78/25.22 (v90(constB8, bitIndex1) | (~v90(constB9, bitIndex1))),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1530, 1218])).
% 38.78/25.22 tff(1532,plain,
% 38.78/25.22 (v90(constB8, bitIndex1)),
% 38.78/25.22 inference(unit_resolution,[status(thm)],[1531, 1287])).
% 38.78/25.22 tff(1533,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1534,plain,
% 38.78/25.22 (((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1)) <=> ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 38.78/25.22 inference(rewrite,[status(thm)],[])).
% 38.78/25.22 tff(1535,plain,
% 38.78/25.22 (((~![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))))),
% 38.78/25.22 inference(monotonicity,[status(thm)],[1534])).
% 38.78/25.22 tff(1536,plain,
% 38.78/25.22 (((~![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)))),
% 38.78/25.22 inference(transitivity,[status(thm)],[1535, 1533])).
% 38.78/25.22 tff(1537,plain,
% 38.78/25.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1538,plain,
% 38.78/25.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1537, 1536])).
% 38.78/25.23 tff(1539,plain,
% 38.78/25.23 (v129(constB8, bitIndex1) | (~v100(constB8))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1538, 560, 1532])).
% 38.78/25.23 tff(1540,plain,
% 38.78/25.23 (v129(constB8, bitIndex1)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1539, 1429])).
% 38.78/25.23 tff(1541,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1542,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1543,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 38.78/25.23 tff(1544,plain,
% 38.78/25.23 (v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1543, 545, 1327])).
% 38.78/25.23 tff(1545,plain,
% 38.78/25.23 (v127(constB7, bitIndex1)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1544, 1540])).
% 38.78/25.23 tff(1546,plain,
% 38.78/25.23 (((~![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))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1547,plain,
% 38.78/25.23 ((v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1))) <=> ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1548,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(monotonicity,[status(thm)],[1547])).
% 38.78/25.23 tff(1549,plain,
% 38.78/25.23 (((~![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))),
% 38.78/25.23 inference(transitivity,[status(thm)],[1548, 1546])).
% 38.78/25.23 tff(1550,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1551,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1)),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 38.78/25.23 tff(1552,plain,
% 38.78/25.23 (v130(constB7, bitIndex1)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1551, 527, 1545, 1456])).
% 38.78/25.23 tff(1553,plain,
% 38.78/25.23 (^[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))))),
% 38.78/25.23 inference(bind,[status(th)],[])).
% 38.78/25.23 tff(1554,plain,
% 38.78/25.23 (![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)))),
% 38.78/25.23 inference(quant_intro,[status(thm)],[1553])).
% 38.78/25.23 tff(1555,plain,
% 38.78/25.23 (![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1556,plain,
% 38.78/25.23 (^[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)))))),
% 38.78/25.23 inference(bind,[status(th)],[])).
% 38.78/25.23 tff(1557,plain,
% 38.78/25.23 (![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)))),
% 38.78/25.23 inference(quant_intro,[status(thm)],[1556])).
% 38.78/25.23 tff(1558,axiom,(![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 38.78/25.23 tff(1559,plain,
% 38.78/25.23 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 38.78/25.23 tff(1560,plain,
% 38.78/25.23 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1559, 1555])).
% 38.78/25.23 tff(1561,plain,(
% 38.78/25.23 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(skolemize,[status(sab)],[1560])).
% 38.78/25.23 tff(1562,plain,
% 38.78/25.23 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1561, 1554])).
% 38.78/25.23 tff(1563,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB7, bitIndex1)) | v124(constB7) | v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB7, bitIndex1)) | v124(constB7) | v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1564,plain,
% 38.78/25.23 ((v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex1))) <=> ((~v130(constB7, bitIndex1)) | v124(constB7) | v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1565,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB7, bitIndex1)) | v124(constB7) | v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7)))),
% 38.78/25.23 inference(monotonicity,[status(thm)],[1564])).
% 38.78/25.23 tff(1566,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB7, bitIndex1)) | v124(constB7) | v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7))),
% 38.78/25.23 inference(transitivity,[status(thm)],[1565, 1563])).
% 38.78/25.23 tff(1567,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex1)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1568,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB7, bitIndex1)) | v124(constB7) | v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7)),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 38.78/25.23 tff(1569,plain,
% 38.78/25.23 (v123(constB7)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1568, 1562, 1552, 1523, 1509, 1505, 1501, 1490])).
% 38.78/25.23 tff(1570,plain,
% 38.78/25.23 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 38.78/25.23 inference(bind,[status(th)],[])).
% 38.78/25.23 tff(1571,plain,
% 38.78/25.23 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(quant_intro,[status(thm)],[1570])).
% 38.78/25.23 tff(1572,plain,
% 38.78/25.23 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1573,plain,
% 38.78/25.23 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 38.78/25.23 inference(bind,[status(th)],[])).
% 38.78/25.23 tff(1574,plain,
% 38.78/25.23 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(quant_intro,[status(thm)],[1573])).
% 38.78/25.23 tff(1575,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 38.78/25.23 tff(1576,plain,
% 38.78/25.23 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 38.78/25.23 tff(1577,plain,
% 38.78/25.23 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1576, 1572])).
% 38.78/25.23 tff(1578,plain,(
% 38.78/25.23 ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(skolemize,[status(sab)],[1577])).
% 38.78/25.23 tff(1579,plain,
% 38.78/25.23 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1578, 1571])).
% 38.78/25.23 tff(1580,plain,
% 38.78/25.23 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB7)) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB7)) | (~v130(constB7, bitIndex1)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1581,plain,
% 38.78/25.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB7)) | (~v130(constB7, bitIndex1)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1582,plain,
% 38.78/25.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB7)) | (~v130(constB7, bitIndex1))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1581, 1580])).
% 38.78/25.23 tff(1583,plain,
% 38.78/25.23 ($false),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1582, 1579, 1552, 1569])).
% 38.78/25.23 tff(1584,plain,(v113(constB9) | v90(constB5, bitIndex2) | v130(constB5, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 38.78/25.23 tff(1585,plain,
% 38.78/25.23 (v113(constB9)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1584, 1106, 1035])).
% 38.78/25.23 tff(1586,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1587,plain,
% 38.78/25.23 ((v26(constB9) | (~v113(constB9)) | v112(constB9)) <=> (v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1588,plain,
% 38.78/25.23 (((~![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))))),
% 38.78/25.23 inference(monotonicity,[status(thm)],[1587])).
% 38.78/25.23 tff(1589,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(transitivity,[status(thm)],[1588, 1586])).
% 38.78/25.23 tff(1590,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1591,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 38.78/25.23 tff(1592,plain,
% 38.78/25.23 (v26(constB9) | v112(constB9)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1591, 308, 1585])).
% 38.78/25.23 tff(1593,plain,
% 38.78/25.23 (v112(constB9)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1592, 109])).
% 38.78/25.23 tff(1594,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1595,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1596,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 38.78/25.23 tff(1597,plain,
% 38.78/25.23 (v108(constB9)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1596, 320, 1593])).
% 38.78/25.23 tff(1598,plain,
% 38.78/25.23 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1599,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 38.78/25.23 tff(1600,plain,
% 38.78/25.23 (nextState(constB9, constB10)),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1599, 1598])).
% 38.78/25.23 tff(1601,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1602,plain,
% 38.78/25.23 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1603,plain,
% 38.78/25.23 (((~![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))))),
% 38.78/25.23 inference(monotonicity,[status(thm)],[1602])).
% 38.78/25.23 tff(1604,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(transitivity,[status(thm)],[1603, 1601])).
% 38.78/25.23 tff(1605,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1606,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1605, 1604])).
% 38.78/25.23 tff(1607,plain,
% 38.78/25.23 (v110(constB10) | (~v108(constB9))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1606, 337, 1600])).
% 38.78/25.23 tff(1608,plain,
% 38.78/25.23 (v110(constB10)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1607, 1597])).
% 38.78/25.23 tff(1609,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1610,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1611,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 38.78/25.23 tff(1612,plain,
% 38.78/25.23 (~v104(constB10)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1611, 355, 1600, 1203])).
% 38.78/25.23 tff(1613,plain,
% 38.78/25.23 (((~![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))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1614,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1615,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 38.78/25.23 tff(1616,plain,
% 38.78/25.23 (v102(constB10) | v104(constB10)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1615, 369, 1600])).
% 38.78/25.23 tff(1617,plain,
% 38.78/25.23 (v102(constB10)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1616, 1612])).
% 38.78/25.23 tff(1618,plain,
% 38.78/25.23 (v1(constB10) <=> v1(constB10)),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1619,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 38.78/25.23 tff(1620,plain,
% 38.78/25.23 (v1(constB10)),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 38.78/25.23 tff(1621,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1622,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1623,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 38.78/25.23 tff(1624,plain,
% 38.78/25.23 (v101(constB10) | (~v102(constB10))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1623, 387, 1600, 1620])).
% 38.78/25.23 tff(1625,plain,
% 38.78/25.23 (v101(constB10)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1624, 1617])).
% 38.78/25.23 tff(1626,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1627,plain,
% 38.78/25.23 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1628,plain,
% 38.78/25.23 (((~![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))))),
% 38.78/25.23 inference(monotonicity,[status(thm)],[1627])).
% 38.78/25.23 tff(1629,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(transitivity,[status(thm)],[1628, 1626])).
% 38.78/25.23 tff(1630,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1631,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 38.78/25.23 tff(1632,plain,
% 38.78/25.23 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1631, 402, 1600])).
% 38.78/25.23 tff(1633,plain,
% 38.78/25.23 (v100(constB10) | (~v110(constB10))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1632, 1625])).
% 38.78/25.23 tff(1634,plain,
% 38.78/25.23 (v100(constB10)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1633, 1608])).
% 38.78/25.23 tff(1635,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB5) | (~v121(constB5)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB5) | (~v121(constB5)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1636,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB5) | (~v121(constB5)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1637,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB5) | (~v121(constB5))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 38.78/25.23 tff(1638,plain,
% 38.78/25.23 (v117(constB5)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1637, 1130, 1092])).
% 38.78/25.23 tff(1639,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB5) | (~v117(constB5)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB5) | (~v117(constB5)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1640,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB5) | (~v117(constB5)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1641,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB5) | (~v117(constB5))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1640, 1639])).
% 38.78/25.23 tff(1642,plain,
% 38.78/25.23 (v116(constB5)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1641, 261, 1638])).
% 38.78/25.23 tff(1643,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB5) | (~v116(constB5)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB5) | (~v116(constB5)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1644,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB5) | (~v116(constB5)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1645,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB5) | (~v116(constB5))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 38.78/25.23 tff(1646,plain,
% 38.78/25.23 (v115(constB5)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1645, 272, 1642])).
% 38.78/25.23 tff(1647,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB5) | (~v115(constB5)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB5) | (~v115(constB5)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1648,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB5) | (~v115(constB5)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1649,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB5) | (~v115(constB5))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1648, 1647])).
% 38.78/25.23 tff(1650,plain,
% 38.78/25.23 (v114(constB5)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1649, 283, 1646])).
% 38.78/25.23 tff(1651,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB5) | (~v114(constB5)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB5) | (~v114(constB5)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1652,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB5) | (~v114(constB5)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1653,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB5) | (~v114(constB5))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1652, 1651])).
% 38.78/25.23 tff(1654,plain,
% 38.78/25.23 (v113(constB5)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1653, 294, 1650])).
% 38.78/25.23 tff(1655,assumption,(v26(constB5)), introduced(assumption)).
% 38.78/25.23 tff(1656,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1657,plain,
% 38.78/25.23 ($false),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1656, 86, 1655])).
% 38.78/25.23 tff(1658,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 38.78/25.23 tff(1659,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1660,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1661,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5)),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1660, 1659])).
% 38.78/25.23 tff(1662,plain,
% 38.78/25.23 ((~v113(constB5)) | v112(constB5)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1661, 308, 1658])).
% 38.78/25.23 tff(1663,plain,
% 38.78/25.23 (v112(constB5)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1662, 1654])).
% 38.78/25.23 tff(1664,plain,
% 38.78/25.23 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1665,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1666,plain,
% 38.78/25.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1665, 1664])).
% 38.78/25.23 tff(1667,plain,
% 38.78/25.23 (v108(constB5)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1666, 320, 1663])).
% 38.78/25.23 tff(1668,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1669,plain,
% 38.78/25.23 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1670,plain,
% 38.78/25.23 (((~![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))))),
% 38.78/25.23 inference(monotonicity,[status(thm)],[1669])).
% 38.78/25.23 tff(1671,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(transitivity,[status(thm)],[1670, 1668])).
% 38.78/25.23 tff(1672,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1673,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1672, 1671])).
% 38.78/25.23 tff(1674,plain,
% 38.78/25.23 (v110(constB6) | (~v108(constB5))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1673, 337, 1365])).
% 38.78/25.23 tff(1675,plain,
% 38.78/25.23 (v110(constB6)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1674, 1667])).
% 38.78/25.23 tff(1676,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1677,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1678,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 38.78/25.23 tff(1679,plain,
% 38.78/25.23 (~v104(constB6)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1678, 355, 1365, 1011])).
% 38.78/25.23 tff(1680,plain,
% 38.78/25.23 (((~![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))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1681,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1682,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1681, 1680])).
% 38.78/25.23 tff(1683,plain,
% 38.78/25.23 (v102(constB6) | v104(constB6)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1682, 369, 1365])).
% 38.78/25.23 tff(1684,plain,
% 38.78/25.23 (v102(constB6)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1683, 1679])).
% 38.78/25.23 tff(1685,plain,
% 38.78/25.23 (v1(constB6) <=> v1(constB6)),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1686,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 38.78/25.23 tff(1687,plain,
% 38.78/25.23 (v1(constB6)),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 38.78/25.23 tff(1688,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1689,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1690,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 38.78/25.23 tff(1691,plain,
% 38.78/25.23 (v101(constB6) | (~v102(constB6))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1690, 387, 1365, 1687])).
% 38.78/25.23 tff(1692,plain,
% 38.78/25.23 (v101(constB6)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1691, 1684])).
% 38.78/25.23 tff(1693,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1694,plain,
% 38.78/25.23 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 38.78/25.23 inference(rewrite,[status(thm)],[])).
% 38.78/25.23 tff(1695,plain,
% 38.78/25.23 (((~![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))))),
% 38.78/25.23 inference(monotonicity,[status(thm)],[1694])).
% 38.78/25.23 tff(1696,plain,
% 38.78/25.23 (((~![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)))),
% 38.78/25.23 inference(transitivity,[status(thm)],[1695, 1693])).
% 38.78/25.23 tff(1697,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 38.78/25.23 inference(quant_inst,[status(thm)],[])).
% 38.78/25.23 tff(1698,plain,
% 38.78/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 38.78/25.23 inference(modus_ponens,[status(thm)],[1697, 1696])).
% 38.78/25.23 tff(1699,plain,
% 38.78/25.23 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1698, 402, 1365])).
% 38.78/25.23 tff(1700,plain,
% 38.78/25.23 (v100(constB6) | (~v110(constB6))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1699, 1692])).
% 38.78/25.23 tff(1701,plain,
% 38.78/25.23 (v100(constB6)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1700, 1675])).
% 38.78/25.23 tff(1702,plain,
% 38.78/25.23 ((~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1391, 435, 1658])).
% 38.78/25.23 tff(1703,plain,
% 38.78/25.23 (~v127(constB5, bitIndex2)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1702, 1106])).
% 38.78/25.23 tff(1704,plain,
% 38.78/25.23 (~v129(constB6, bitIndex2)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1384, 1703])).
% 38.78/25.23 tff(1705,plain,
% 38.78/25.23 ((~v90(constB6, bitIndex2)) | (~v100(constB6))),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1379, 468, 1704])).
% 38.78/25.23 tff(1706,plain,
% 38.78/25.23 (~v90(constB6, bitIndex2)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1705, 1701])).
% 38.78/25.23 tff(1707,plain,
% 38.78/25.23 (~v90(constB7, bitIndex2)),
% 38.78/25.23 inference(unit_resolution,[status(thm)],[1361, 1706])).
% 38.78/25.23 tff(1708,plain,
% 38.78/25.23 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 38.78/25.23 inference(bind,[status(th)],[])).
% 38.78/25.23 tff(1709,plain,
% 38.78/25.23 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.23 inference(quant_intro,[status(thm)],[1708])).
% 38.78/25.24 tff(1710,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1711,plain,
% 38.78/25.24 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 38.78/25.24 inference(bind,[status(th)],[])).
% 38.78/25.24 tff(1712,plain,
% 38.78/25.24 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.24 inference(quant_intro,[status(thm)],[1711])).
% 38.78/25.24 tff(1713,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_2')).
% 38.78/25.24 tff(1714,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 38.78/25.24 tff(1715,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1714, 1710])).
% 38.78/25.24 tff(1716,plain,(
% 38.78/25.24 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.24 inference(skolemize,[status(sab)],[1715])).
% 38.78/25.24 tff(1717,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1716, 1709])).
% 38.78/25.24 tff(1718,plain,
% 38.78/25.24 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB5)) | v130(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB5)) | v130(constB5, bitIndex1))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1719,plain,
% 38.78/25.24 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB5)) | v130(constB5, bitIndex1))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1720,plain,
% 38.78/25.24 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB5)) | v130(constB5, bitIndex1)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 38.78/25.24 tff(1721,plain,
% 38.78/25.24 (v130(constB5, bitIndex1)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1720, 1717, 1092])).
% 38.78/25.24 tff(1722,plain,
% 38.78/25.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1723,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1724,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1723, 1722])).
% 38.78/25.24 tff(1725,plain,
% 38.78/25.24 ((~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1724, 882, 1658])).
% 38.78/25.24 tff(1726,plain,
% 38.78/25.24 (v127(constB5, bitIndex1)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1725, 1721])).
% 38.78/25.24 tff(1727,plain,
% 38.78/25.24 (((~![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))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1728,plain,
% 38.78/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1729,plain,
% 38.78/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1728, 1727])).
% 38.78/25.24 tff(1730,plain,
% 38.78/25.24 ((~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1729, 897, 1365])).
% 38.78/25.24 tff(1731,plain,
% 38.78/25.24 (v129(constB6, bitIndex1)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1730, 1726])).
% 38.78/25.24 tff(1732,plain,
% 38.78/25.24 (((~![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)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1733,plain,
% 38.78/25.24 ((v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1734,plain,
% 38.78/25.24 (((~![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))))),
% 38.78/25.24 inference(monotonicity,[status(thm)],[1733])).
% 38.78/25.24 tff(1735,plain,
% 38.78/25.24 (((~![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)))),
% 38.78/25.24 inference(transitivity,[status(thm)],[1734, 1732])).
% 38.78/25.24 tff(1736,plain,
% 38.78/25.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1737,plain,
% 38.78/25.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1736, 1735])).
% 38.78/25.24 tff(1738,plain,
% 38.78/25.24 (v90(constB6, bitIndex1) | (~v100(constB6))),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1737, 912, 1731])).
% 38.78/25.24 tff(1739,plain,
% 38.78/25.24 (v90(constB6, bitIndex1)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1738, 1701])).
% 38.78/25.24 tff(1740,plain,
% 38.78/25.24 (((~![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))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1741,plain,
% 38.78/25.24 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1742,plain,
% 38.78/25.24 (((~![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)))),
% 38.78/25.24 inference(monotonicity,[status(thm)],[1741])).
% 38.78/25.24 tff(1743,plain,
% 38.78/25.24 (((~![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))),
% 38.78/25.24 inference(transitivity,[status(thm)],[1742, 1740])).
% 38.78/25.24 tff(1744,plain,
% 38.78/25.24 ((~![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))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1745,plain,
% 38.78/25.24 ((~![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)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 38.78/25.24 tff(1746,plain,
% 38.78/25.24 ((~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1745, 1049, 1341])).
% 38.78/25.24 tff(1747,plain,
% 38.78/25.24 ((~v90(constB6, bitIndex1)) | v90(constB7, bitIndex1)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1746, 1353])).
% 38.78/25.24 tff(1748,plain,
% 38.78/25.24 (v90(constB7, bitIndex1)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1747, 1739])).
% 38.78/25.24 tff(1749,plain,
% 38.78/25.24 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 38.78/25.24 inference(bind,[status(th)],[])).
% 38.78/25.24 tff(1750,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.24 inference(quant_intro,[status(thm)],[1749])).
% 38.78/25.24 tff(1751,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1752,plain,
% 38.78/25.24 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 38.78/25.24 inference(bind,[status(th)],[])).
% 38.78/25.24 tff(1753,plain,
% 38.78/25.24 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.24 inference(quant_intro,[status(thm)],[1752])).
% 38.78/25.24 tff(1754,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1')).
% 38.78/25.24 tff(1755,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 38.78/25.24 tff(1756,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1755, 1751])).
% 38.78/25.24 tff(1757,plain,(
% 38.78/25.24 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.24 inference(skolemize,[status(sab)],[1756])).
% 38.78/25.24 tff(1758,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1757, 1750])).
% 38.78/25.24 tff(1759,plain,
% 38.78/25.24 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB5)) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB5)) | v130(constB5, bitIndex0))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1760,plain,
% 38.78/25.24 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB5)) | v130(constB5, bitIndex0))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1761,plain,
% 38.78/25.24 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB5)) | v130(constB5, bitIndex0)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1760, 1759])).
% 38.78/25.24 tff(1762,plain,
% 38.78/25.24 (v130(constB5, bitIndex0)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1761, 1758, 1092])).
% 38.78/25.24 tff(1763,plain,
% 38.78/25.24 (((~![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))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1764,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1765,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 38.78/25.24 tff(1766,plain,
% 38.78/25.24 ((~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1765, 601, 1658])).
% 38.78/25.24 tff(1767,plain,
% 38.78/25.24 (v127(constB5, bitIndex0)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1766, 1762])).
% 38.78/25.24 tff(1768,plain,
% 38.78/25.24 (((~![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))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1769,plain,
% 38.78/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1770,plain,
% 38.78/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 38.78/25.24 tff(1771,plain,
% 38.78/25.24 ((~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1770, 616, 1365])).
% 38.78/25.24 tff(1772,plain,
% 38.78/25.24 (v129(constB6, bitIndex0)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1771, 1767])).
% 38.78/25.24 tff(1773,plain,
% 38.78/25.24 (((~![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)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1774,plain,
% 38.78/25.24 ((v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1775,plain,
% 38.78/25.24 (((~![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))))),
% 38.78/25.24 inference(monotonicity,[status(thm)],[1774])).
% 38.78/25.24 tff(1776,plain,
% 38.78/25.24 (((~![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)))),
% 38.78/25.24 inference(transitivity,[status(thm)],[1775, 1773])).
% 38.78/25.24 tff(1777,plain,
% 38.78/25.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1778,plain,
% 38.78/25.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 38.78/25.24 tff(1779,plain,
% 38.78/25.24 (v90(constB6, bitIndex0) | (~v100(constB6))),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1778, 631, 1772])).
% 38.78/25.24 tff(1780,plain,
% 38.78/25.24 (v90(constB6, bitIndex0)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1779, 1701])).
% 38.78/25.24 tff(1781,plain,
% 38.78/25.24 (((~![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))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1782,plain,
% 38.78/25.24 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1783,plain,
% 38.78/25.24 (((~![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)))),
% 38.78/25.24 inference(monotonicity,[status(thm)],[1782])).
% 38.78/25.24 tff(1784,plain,
% 38.78/25.24 (((~![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))),
% 38.78/25.24 inference(transitivity,[status(thm)],[1783, 1781])).
% 38.78/25.24 tff(1785,plain,
% 38.78/25.24 ((~![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))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1786,plain,
% 38.78/25.24 ((~![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)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 38.78/25.24 tff(1787,plain,
% 38.78/25.24 ((~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1786, 649, 1341])).
% 38.78/25.24 tff(1788,plain,
% 38.78/25.24 ((~v90(constB6, bitIndex0)) | v90(constB7, bitIndex0)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1787, 1353])).
% 38.78/25.24 tff(1789,plain,
% 38.78/25.24 (v90(constB7, bitIndex0)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1788, 1780])).
% 38.78/25.24 tff(1790,plain,
% 38.78/25.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1791,plain,
% 38.78/25.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1792,plain,
% 38.78/25.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1791, 1790])).
% 38.78/25.24 tff(1793,plain,
% 38.78/25.24 (v122(constB7)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1792, 1184, 1789, 1748, 1707])).
% 38.78/25.24 tff(1794,plain,
% 38.78/25.24 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 38.78/25.24 inference(bind,[status(th)],[])).
% 38.78/25.24 tff(1795,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.24 inference(quant_intro,[status(thm)],[1794])).
% 38.78/25.24 tff(1796,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1797,plain,
% 38.78/25.24 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 38.78/25.24 inference(bind,[status(th)],[])).
% 38.78/25.24 tff(1798,plain,
% 38.78/25.24 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.24 inference(quant_intro,[status(thm)],[1797])).
% 38.78/25.24 tff(1799,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 38.78/25.24 tff(1800,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1799, 1798])).
% 38.78/25.24 tff(1801,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1800, 1796])).
% 38.78/25.24 tff(1802,plain,(
% 38.78/25.24 ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.24 inference(skolemize,[status(sab)],[1801])).
% 38.78/25.24 tff(1803,plain,
% 38.78/25.24 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1802, 1795])).
% 38.78/25.24 tff(1804,plain,
% 38.78/25.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB7)) | v130(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB7)) | v130(constB7, bitIndex2))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1805,plain,
% 38.78/25.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB7)) | v130(constB7, bitIndex2))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1806,plain,
% 38.78/25.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB7)) | v130(constB7, bitIndex2)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 38.78/25.24 tff(1807,plain,
% 38.78/25.24 (v130(constB7, bitIndex2)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1806, 1803, 1793])).
% 38.78/25.24 tff(1808,assumption,(v26(constB7)), introduced(assumption)).
% 38.78/25.24 tff(1809,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1810,plain,
% 38.78/25.24 ($false),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1809, 86, 1808])).
% 38.78/25.24 tff(1811,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 38.78/25.24 tff(1812,plain,
% 38.78/25.24 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 38.78/25.24 inference(bind,[status(th)],[])).
% 38.78/25.24 tff(1813,plain,
% 38.78/25.24 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 38.78/25.24 inference(quant_intro,[status(thm)],[1812])).
% 38.78/25.24 tff(1814,plain,
% 38.78/25.24 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1815,plain,
% 38.78/25.24 (^[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))))),
% 38.78/25.24 inference(bind,[status(th)],[])).
% 38.78/25.24 tff(1816,plain,
% 38.78/25.24 (![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 38.78/25.24 inference(quant_intro,[status(thm)],[1815])).
% 38.78/25.24 tff(1817,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 38.78/25.24 tff(1818,plain,
% 38.78/25.24 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 38.78/25.24 tff(1819,plain,
% 38.78/25.24 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1818, 1814])).
% 38.78/25.24 tff(1820,plain,(
% 38.78/25.24 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 38.78/25.24 inference(skolemize,[status(sab)],[1819])).
% 38.78/25.24 tff(1821,plain,
% 38.78/25.24 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1820, 1813])).
% 38.78/25.24 tff(1822,plain,
% 38.78/25.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1823,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1824,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 38.78/25.24 tff(1825,plain,
% 38.78/25.24 ((~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1824, 1821, 1811])).
% 38.78/25.24 tff(1826,plain,
% 38.78/25.24 (v127(constB7, bitIndex2)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1825, 1807])).
% 38.78/25.24 tff(1827,plain,
% 38.78/25.24 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 38.78/25.24 inference(bind,[status(th)],[])).
% 38.78/25.24 tff(1828,plain,
% 38.78/25.24 (![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))),
% 38.78/25.24 inference(quant_intro,[status(thm)],[1827])).
% 38.78/25.24 tff(1829,plain,
% 38.78/25.24 (![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))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1830,plain,
% 38.78/25.24 (^[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))))),
% 38.78/25.24 inference(bind,[status(th)],[])).
% 38.78/25.24 tff(1831,plain,
% 38.78/25.24 (![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))),
% 38.78/25.24 inference(quant_intro,[status(thm)],[1830])).
% 38.78/25.24 tff(1832,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 38.78/25.24 tff(1833,plain,
% 38.78/25.24 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1832, 1831])).
% 38.78/25.24 tff(1834,plain,
% 38.78/25.24 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1833, 1829])).
% 38.78/25.24 tff(1835,plain,(
% 38.78/25.24 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 38.78/25.24 inference(skolemize,[status(sab)],[1834])).
% 38.78/25.24 tff(1836,plain,
% 38.78/25.24 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1835, 1828])).
% 38.78/25.24 tff(1837,plain,
% 38.78/25.24 (((~![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))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1838,plain,
% 38.78/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1839,plain,
% 38.78/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2)),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1838, 1837])).
% 38.78/25.24 tff(1840,plain,
% 38.78/25.24 ((~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1839, 1836, 1327])).
% 38.78/25.24 tff(1841,plain,
% 38.78/25.24 (v129(constB8, bitIndex2)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1840, 1826])).
% 38.78/25.24 tff(1842,assumption,(~v113(constB7)), introduced(assumption)).
% 38.78/25.24 tff(1843,plain,
% 38.78/25.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB7) | (~v125(constB7)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB7) | (~v125(constB7)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1844,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB7) | (~v125(constB7)))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1845,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB7) | (~v125(constB7))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1844, 1843])).
% 38.78/25.24 tff(1846,plain,
% 38.78/25.24 (~v125(constB7)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1845, 1294, 1842])).
% 38.78/25.24 tff(1847,plain,
% 38.78/25.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1848,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1849,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 38.78/25.24 tff(1850,plain,
% 38.78/25.24 (~v114(constB7)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1849, 294, 1842])).
% 38.78/25.24 tff(1851,plain,
% 38.78/25.24 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1852,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1853,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 38.78/25.24 tff(1854,plain,
% 38.78/25.24 (~v115(constB7)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1853, 283, 1850])).
% 38.78/25.24 tff(1855,plain,
% 38.78/25.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB7) | (~v123(constB7)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB7) | (~v123(constB7)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1856,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB7) | (~v123(constB7)))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1857,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB7) | (~v123(constB7))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1856, 1855])).
% 38.78/25.24 tff(1858,plain,
% 38.78/25.24 (~v123(constB7)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1857, 1247, 1854])).
% 38.78/25.24 tff(1859,plain,
% 38.78/25.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1860,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1861,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1860, 1859])).
% 38.78/25.24 tff(1862,plain,
% 38.78/25.24 (~v116(constB7)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1861, 272, 1854])).
% 38.78/25.24 tff(1863,plain,
% 38.78/25.24 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB7) | (~v117(constB7)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB7) | (~v117(constB7)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1864,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB7) | (~v117(constB7)))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1865,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB7) | (~v117(constB7))),
% 38.78/25.24 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 38.78/25.24 tff(1866,plain,
% 38.78/25.24 (~v117(constB7)),
% 38.78/25.24 inference(unit_resolution,[status(thm)],[1865, 261, 1862])).
% 38.78/25.24 tff(1867,plain,
% 38.78/25.24 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB7) | (~v121(constB7)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB7) | (~v121(constB7)))),
% 38.78/25.24 inference(rewrite,[status(thm)],[])).
% 38.78/25.24 tff(1868,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB7) | (~v121(constB7)))),
% 38.78/25.24 inference(quant_inst,[status(thm)],[])).
% 38.78/25.24 tff(1869,plain,
% 38.78/25.24 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB7) | (~v121(constB7))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1868, 1867])).
% 38.78/25.25 tff(1870,plain,
% 38.78/25.25 (~v121(constB7)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1869, 1130, 1866])).
% 38.78/25.25 tff(1871,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB7) | (~v118(constB7)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB7) | (~v118(constB7)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1872,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB7) | (~v118(constB7)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1873,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB7) | (~v118(constB7))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 38.78/25.25 tff(1874,plain,
% 38.78/25.25 (~v118(constB7)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1873, 250, 1866])).
% 38.78/25.25 tff(1875,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB7) | (~v119(constB7)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB7) | (~v119(constB7)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1876,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB7) | (~v119(constB7)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1877,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB7) | (~v119(constB7))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1876, 1875])).
% 38.78/25.25 tff(1878,plain,
% 38.78/25.25 (~v119(constB7)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1877, 239, 1874])).
% 38.78/25.25 tff(1879,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB7) | (~v122(constB7)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB7) | (~v122(constB7)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1880,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB7) | (~v122(constB7)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1881,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB7) | (~v122(constB7))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1880, 1879])).
% 38.78/25.25 tff(1882,plain,
% 38.78/25.25 (~v122(constB7)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1881, 1149, 1862])).
% 38.78/25.25 tff(1883,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB7) | (~v120(constB7)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB7) | (~v120(constB7)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1884,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB7) | (~v120(constB7)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1885,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB7) | (~v120(constB7))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 38.78/25.25 tff(1886,plain,
% 38.78/25.25 (~v120(constB7)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1885, 778, 1874])).
% 38.78/25.25 tff(1887,assumption,(~v90(constB7, bitIndex2)), introduced(assumption)).
% 38.78/25.25 tff(1888,assumption,(~v121(constB7)), introduced(assumption)).
% 38.78/25.25 tff(1889,assumption,(~v119(constB7)), introduced(assumption)).
% 38.78/25.25 tff(1890,assumption,(~v90(constB7, bitIndex0)), introduced(assumption)).
% 38.78/25.25 tff(1891,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v121(constB7))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v121(constB7))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1892,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v121(constB7))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1893,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v121(constB7)),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1892, 1891])).
% 38.78/25.25 tff(1894,plain,
% 38.78/25.25 (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1893, 996, 1888])).
% 38.78/25.25 tff(1895,plain,
% 38.78/25.25 (~v90(constB7, bitIndex1)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1894, 1890, 1887])).
% 38.78/25.25 tff(1896,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB7) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB7) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1897,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB7) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1898,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB7) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2)),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 38.78/25.25 tff(1899,plain,
% 38.78/25.25 (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1898, 228, 1889])).
% 38.78/25.25 tff(1900,plain,
% 38.78/25.25 ($false),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1899, 1895, 1890, 1887])).
% 38.78/25.25 tff(1901,plain,(v90(constB7, bitIndex0) | v90(constB7, bitIndex2) | v119(constB7) | v121(constB7)), inference(lemma,lemma(discharge,[]))).
% 38.78/25.25 tff(1902,plain,
% 38.78/25.25 (v90(constB7, bitIndex0)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1901, 1887, 1889, 1888])).
% 38.78/25.25 tff(1903,assumption,(~v122(constB7)), introduced(assumption)).
% 38.78/25.25 tff(1904,plain,
% 38.78/25.25 ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1792, 1184, 1903])).
% 38.78/25.25 tff(1905,plain,
% 38.78/25.25 (~v90(constB7, bitIndex1)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1904, 1902, 1887])).
% 38.78/25.25 tff(1906,assumption,(~v120(constB7)), introduced(assumption)).
% 38.78/25.25 tff(1907,plain,
% 38.78/25.25 (((~![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))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1908,plain,
% 38.78/25.25 (((~v90(constB7, bitIndex0)) | v120(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2)) <=> ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1909,plain,
% 38.78/25.25 (((~![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)))),
% 38.78/25.25 inference(monotonicity,[status(thm)],[1908])).
% 38.78/25.25 tff(1910,plain,
% 38.78/25.25 (((~![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))),
% 38.78/25.25 inference(transitivity,[status(thm)],[1909, 1907])).
% 38.78/25.25 tff(1911,plain,
% 38.78/25.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v120(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1912,plain,
% 38.78/25.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7)),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 38.78/25.25 tff(1913,plain,
% 38.78/25.25 ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1912, 668, 1906])).
% 38.78/25.25 tff(1914,plain,
% 38.78/25.25 ($false),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1913, 1905, 1902, 1887])).
% 38.78/25.25 tff(1915,plain,(v90(constB7, bitIndex2) | v120(constB7) | v122(constB7) | v119(constB7) | v121(constB7)), inference(lemma,lemma(discharge,[]))).
% 38.78/25.25 tff(1916,plain,
% 38.78/25.25 (v90(constB7, bitIndex2)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1915, 1886, 1882, 1878, 1870])).
% 38.78/25.25 tff(1917,assumption,(v90(constB7, bitIndex2)), introduced(assumption)).
% 38.78/25.25 tff(1918,assumption,(~v125(constB7)), introduced(assumption)).
% 38.78/25.25 tff(1919,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex2)) | v125(constB7))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex2)) | v125(constB7))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1920,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex2)) | v125(constB7))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1921,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex2)) | v125(constB7)),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 38.78/25.25 tff(1922,plain,
% 38.78/25.25 (v90(constB7, bitIndex0) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex2))),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1921, 1308, 1918])).
% 38.78/25.25 tff(1923,plain,
% 38.78/25.25 (~v90(constB7, bitIndex1)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1922, 1890, 1917])).
% 38.78/25.25 tff(1924,assumption,(~v123(constB7)), introduced(assumption)).
% 38.78/25.25 tff(1925,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v123(constB7))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v123(constB7))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1926,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v123(constB7))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1927,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v123(constB7)),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1926, 1925])).
% 38.78/25.25 tff(1928,plain,
% 38.78/25.25 (v90(constB7, bitIndex0) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2))),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1927, 1280, 1924])).
% 38.78/25.25 tff(1929,plain,
% 38.78/25.25 ($false),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1928, 1923, 1890, 1917])).
% 38.78/25.25 tff(1930,plain,(v90(constB7, bitIndex0) | (~v90(constB7, bitIndex2)) | v123(constB7) | v125(constB7)), inference(lemma,lemma(discharge,[]))).
% 38.78/25.25 tff(1931,plain,
% 38.78/25.25 (v90(constB7, bitIndex0)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1930, 1916, 1858, 1846])).
% 38.78/25.25 tff(1932,plain,
% 38.78/25.25 (v90(constB6, bitIndex0)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1410, 1931])).
% 38.78/25.25 tff(1933,plain,
% 38.78/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1934,plain,
% 38.78/25.25 (((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0))) <=> (v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1935,plain,
% 38.78/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0))))),
% 38.78/25.25 inference(monotonicity,[status(thm)],[1934])).
% 38.78/25.25 tff(1936,plain,
% 38.78/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 38.78/25.25 inference(transitivity,[status(thm)],[1935, 1933])).
% 38.78/25.25 tff(1937,plain,
% 38.78/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1938,plain,
% 38.78/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 38.78/25.25 tff(1939,plain,
% 38.78/25.25 (v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0))),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1938, 207, 1365])).
% 38.78/25.25 tff(1940,plain,
% 38.78/25.25 (v100(constB6)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1939, 1932, 1087])).
% 38.78/25.25 tff(1941,plain,
% 38.78/25.25 (v90(constB6, bitIndex2)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1361, 1916])).
% 38.78/25.25 tff(1942,plain,
% 38.78/25.25 (v129(constB6, bitIndex2) | (~v100(constB6))),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1379, 468, 1941])).
% 38.78/25.25 tff(1943,plain,
% 38.78/25.25 (v129(constB6, bitIndex2)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1942, 1940])).
% 38.78/25.25 tff(1944,plain,
% 38.78/25.25 (v127(constB5, bitIndex2)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1384, 1943])).
% 38.78/25.25 tff(1945,plain,
% 38.78/25.25 (v130(constB5, bitIndex2)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1702, 1944])).
% 38.78/25.25 tff(1946,plain,
% 38.78/25.25 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB5)) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB5)) | (~v130(constB5, bitIndex2)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1947,plain,
% 38.78/25.25 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB5)) | (~v130(constB5, bitIndex2)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1948,plain,
% 38.78/25.25 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB5)) | (~v130(constB5, bitIndex2))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1947, 1946])).
% 38.78/25.25 tff(1949,plain,
% 38.78/25.25 (~v119(constB5)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1948, 421, 1945])).
% 38.78/25.25 tff(1950,plain,
% 38.78/25.25 (~v121(constB5)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1105, 1102, 1945])).
% 38.78/25.25 tff(1951,plain,
% 38.78/25.25 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v120(VarCurr))))),
% 38.78/25.25 inference(bind,[status(th)],[])).
% 38.78/25.25 tff(1952,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 38.78/25.25 inference(quant_intro,[status(thm)],[1951])).
% 38.78/25.25 tff(1953,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1954,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 38.78/25.25 tff(1955,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1954, 1953])).
% 38.78/25.25 tff(1956,plain,(
% 38.78/25.25 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 38.78/25.25 inference(skolemize,[status(sab)],[1955])).
% 38.78/25.25 tff(1957,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1956, 1952])).
% 38.78/25.25 tff(1958,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB5, bitIndex0) | (~v120(constB5)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB5, bitIndex0) | (~v120(constB5)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1959,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB5, bitIndex0) | (~v120(constB5)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1960,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB5, bitIndex0) | (~v120(constB5))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 38.78/25.25 tff(1961,plain,
% 38.78/25.25 (~v120(constB5)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1960, 1957, 1087])).
% 38.78/25.25 tff(1962,plain,
% 38.78/25.25 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v122(VarCurr))))),
% 38.78/25.25 inference(bind,[status(th)],[])).
% 38.78/25.25 tff(1963,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 38.78/25.25 inference(quant_intro,[status(thm)],[1962])).
% 38.78/25.25 tff(1964,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1965,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 38.78/25.25 tff(1966,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1965, 1964])).
% 38.78/25.25 tff(1967,plain,(
% 38.78/25.25 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 38.78/25.25 inference(skolemize,[status(sab)],[1966])).
% 38.78/25.25 tff(1968,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1967, 1963])).
% 38.78/25.25 tff(1969,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB5, bitIndex0) | (~v122(constB5)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB5, bitIndex0) | (~v122(constB5)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1970,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB5, bitIndex0) | (~v122(constB5)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1971,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB5, bitIndex0) | (~v122(constB5))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1970, 1969])).
% 38.78/25.25 tff(1972,plain,
% 38.78/25.25 (~v122(constB5)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1971, 1968, 1087])).
% 38.78/25.25 tff(1973,plain,
% 38.78/25.25 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v124(VarCurr))))),
% 38.78/25.25 inference(bind,[status(th)],[])).
% 38.78/25.25 tff(1974,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 38.78/25.25 inference(quant_intro,[status(thm)],[1973])).
% 38.78/25.25 tff(1975,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1976,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 38.78/25.25 tff(1977,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1976, 1975])).
% 38.78/25.25 tff(1978,plain,(
% 38.78/25.25 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 38.78/25.25 inference(skolemize,[status(sab)],[1977])).
% 38.78/25.25 tff(1979,plain,
% 38.78/25.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1978, 1974])).
% 38.78/25.25 tff(1980,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB5, bitIndex0) | (~v124(constB5)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB5, bitIndex0) | (~v124(constB5)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1981,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB5, bitIndex0) | (~v124(constB5)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1982,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB5, bitIndex0) | (~v124(constB5))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1981, 1980])).
% 38.78/25.25 tff(1983,plain,
% 38.78/25.25 (~v124(constB5)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1982, 1979, 1087])).
% 38.78/25.25 tff(1984,plain,
% 38.78/25.25 (^[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))))),
% 38.78/25.25 inference(bind,[status(th)],[])).
% 38.78/25.25 tff(1985,plain,
% 38.78/25.25 (![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)))),
% 38.78/25.25 inference(quant_intro,[status(thm)],[1984])).
% 38.78/25.25 tff(1986,plain,
% 38.78/25.25 (![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)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1987,plain,
% 38.78/25.25 (^[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)))))),
% 38.78/25.25 inference(bind,[status(th)],[])).
% 38.78/25.25 tff(1988,plain,
% 38.78/25.25 (![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)))),
% 38.78/25.25 inference(quant_intro,[status(thm)],[1987])).
% 38.78/25.25 tff(1989,axiom,(![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 38.78/25.25 tff(1990,plain,
% 38.78/25.25 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1989, 1988])).
% 38.78/25.25 tff(1991,plain,
% 38.78/25.25 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1990, 1986])).
% 38.78/25.25 tff(1992,plain,(
% 38.78/25.25 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 38.78/25.25 inference(skolemize,[status(sab)],[1991])).
% 38.78/25.25 tff(1993,plain,
% 38.78/25.25 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1992, 1985])).
% 38.78/25.25 tff(1994,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB5, bitIndex2)) | v120(constB5) | v123(constB5) | v119(constB5) | v121(constB5) | v124(constB5) | v122(constB5))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB5, bitIndex2)) | v120(constB5) | v123(constB5) | v119(constB5) | v121(constB5) | v124(constB5) | v122(constB5))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1995,plain,
% 38.78/25.25 ((v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2))) <=> ((~v130(constB5, bitIndex2)) | v120(constB5) | v123(constB5) | v119(constB5) | v121(constB5) | v124(constB5) | v122(constB5))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(1996,plain,
% 38.78/25.25 (((~![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)) | v120(constB5) | v123(constB5) | v119(constB5) | v121(constB5) | v124(constB5) | v122(constB5)))),
% 38.78/25.25 inference(monotonicity,[status(thm)],[1995])).
% 38.78/25.25 tff(1997,plain,
% 38.78/25.25 (((~![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)) | v120(constB5) | v123(constB5) | v119(constB5) | v121(constB5) | v124(constB5) | v122(constB5))),
% 38.78/25.25 inference(transitivity,[status(thm)],[1996, 1994])).
% 38.78/25.25 tff(1998,plain,
% 38.78/25.25 ((~![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)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(1999,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB5, bitIndex2)) | v120(constB5) | v123(constB5) | v119(constB5) | v121(constB5) | v124(constB5) | v122(constB5)),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[1998, 1997])).
% 38.78/25.25 tff(2000,plain,
% 38.78/25.25 ((~v130(constB5, bitIndex2)) | v123(constB5) | v119(constB5) | v121(constB5)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[1999, 1993, 1983, 1972, 1961])).
% 38.78/25.25 tff(2001,plain,
% 38.78/25.25 (v123(constB5)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[2000, 1950, 1945, 1949])).
% 38.78/25.25 tff(2002,plain,
% 38.78/25.25 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB7) | (~v124(constB7)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB7) | (~v124(constB7)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(2003,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB7) | (~v124(constB7)))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(2004,plain,
% 38.78/25.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB7) | (~v124(constB7))),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 38.78/25.25 tff(2005,plain,
% 38.78/25.25 (~v124(constB7)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[2004, 1236, 1850])).
% 38.78/25.25 tff(2006,plain,
% 38.78/25.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v124(constB7))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v124(constB7))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(2007,plain,
% 38.78/25.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v124(constB7))),
% 38.78/25.25 inference(quant_inst,[status(thm)],[])).
% 38.78/25.25 tff(2008,plain,
% 38.78/25.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2)) | v124(constB7)),
% 38.78/25.25 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 38.78/25.25 tff(2009,plain,
% 38.78/25.25 ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | (~v90(constB7, bitIndex2))),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[2008, 1264, 2005])).
% 38.78/25.25 tff(2010,plain,
% 38.78/25.25 (v90(constB7, bitIndex1)),
% 38.78/25.25 inference(unit_resolution,[status(thm)],[2009, 1931, 1916])).
% 38.78/25.25 tff(2011,plain,
% 38.78/25.25 (((~![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)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(2012,plain,
% 38.78/25.25 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 38.78/25.25 inference(rewrite,[status(thm)],[])).
% 38.78/25.25 tff(2013,plain,
% 38.78/25.25 (((~![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))))),
% 38.78/25.25 inference(monotonicity,[status(thm)],[2012])).
% 38.78/25.25 tff(2014,plain,
% 38.78/25.25 (((~![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)))),
% 38.78/25.26 inference(transitivity,[status(thm)],[2013, 2011])).
% 38.78/25.26 tff(2015,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2016,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 38.78/25.26 tff(2017,plain,
% 38.78/25.26 (v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2016, 186, 1341])).
% 38.78/25.26 tff(2018,plain,
% 38.78/25.26 (v90(constB6, bitIndex1) | (~v90(constB7, bitIndex1))),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2017, 1353])).
% 38.78/25.26 tff(2019,plain,
% 38.78/25.26 (v90(constB6, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2018, 2010])).
% 38.78/25.26 tff(2020,plain,
% 38.78/25.26 (((~![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)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2021,plain,
% 38.78/25.26 (((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2022,plain,
% 38.78/25.26 (((~![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))))),
% 38.78/25.26 inference(monotonicity,[status(thm)],[2021])).
% 38.78/25.26 tff(2023,plain,
% 38.78/25.26 (((~![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)))),
% 38.78/25.26 inference(transitivity,[status(thm)],[2022, 2020])).
% 38.78/25.26 tff(2024,plain,
% 38.78/25.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2025,plain,
% 38.78/25.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 38.78/25.26 tff(2026,plain,
% 38.78/25.26 (v129(constB6, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2025, 560, 1940, 2019])).
% 38.78/25.26 tff(2027,plain,
% 38.78/25.26 (((~![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)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2028,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2029,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2028, 2027])).
% 38.78/25.26 tff(2030,plain,
% 38.78/25.26 (v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2029, 545, 1365])).
% 38.78/25.26 tff(2031,plain,
% 38.78/25.26 (v127(constB5, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2030, 2026])).
% 38.78/25.26 tff(2032,plain,
% 38.78/25.26 (((~![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))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2033,plain,
% 38.78/25.26 ((v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1))) <=> ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2034,plain,
% 38.78/25.26 (((~![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)))),
% 38.78/25.26 inference(monotonicity,[status(thm)],[2033])).
% 38.78/25.26 tff(2035,plain,
% 38.78/25.26 (((~![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))),
% 38.78/25.26 inference(transitivity,[status(thm)],[2034, 2032])).
% 38.78/25.26 tff(2036,plain,
% 38.78/25.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2037,plain,
% 38.78/25.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1)),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 38.78/25.26 tff(2038,plain,
% 38.78/25.26 ((~v127(constB5, bitIndex1)) | v130(constB5, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2037, 527, 1658])).
% 38.78/25.26 tff(2039,plain,
% 38.78/25.26 (v130(constB5, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2038, 2031])).
% 38.78/25.26 tff(2040,plain,
% 38.78/25.26 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB5)) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB5)) | (~v130(constB5, bitIndex1)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2041,plain,
% 38.78/25.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB5)) | (~v130(constB5, bitIndex1)))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2042,plain,
% 38.78/25.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB5)) | (~v130(constB5, bitIndex1))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 38.78/25.26 tff(2043,plain,
% 38.78/25.26 ($false),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2042, 1579, 2039, 2001])).
% 38.78/25.26 tff(2044,plain,(v113(constB7)), inference(lemma,lemma(discharge,[]))).
% 38.78/25.26 tff(2045,plain,
% 38.78/25.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2046,plain,
% 38.78/25.26 ((v26(constB7) | (~v113(constB7)) | v112(constB7)) <=> (v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2047,plain,
% 38.78/25.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7))))),
% 38.78/25.26 inference(monotonicity,[status(thm)],[2046])).
% 38.78/25.26 tff(2048,plain,
% 38.78/25.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 38.78/25.26 inference(transitivity,[status(thm)],[2047, 2045])).
% 38.78/25.26 tff(2049,plain,
% 38.78/25.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2050,plain,
% 38.78/25.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2049, 2048])).
% 38.78/25.26 tff(2051,plain,
% 38.78/25.26 (v112(constB7) | (~v113(constB7))),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2050, 308, 1811])).
% 38.78/25.26 tff(2052,plain,
% 38.78/25.26 (v112(constB7)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2051, 2044])).
% 38.78/25.26 tff(2053,plain,
% 38.78/25.26 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2054,plain,
% 38.78/25.26 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2055,plain,
% 38.78/25.26 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2054, 2053])).
% 38.78/25.26 tff(2056,plain,
% 38.78/25.26 (v108(constB7)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2055, 320, 2052])).
% 38.78/25.26 tff(2057,plain,
% 38.78/25.26 (((~![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)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2058,plain,
% 38.78/25.26 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2059,plain,
% 38.78/25.26 (((~![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))))),
% 38.78/25.26 inference(monotonicity,[status(thm)],[2058])).
% 38.78/25.26 tff(2060,plain,
% 38.78/25.26 (((~![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)))),
% 38.78/25.26 inference(transitivity,[status(thm)],[2059, 2057])).
% 38.78/25.26 tff(2061,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2062,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 38.78/25.26 tff(2063,plain,
% 38.78/25.26 (v110(constB8) | (~v108(constB7))),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2062, 337, 1327])).
% 38.78/25.26 tff(2064,plain,
% 38.78/25.26 (v110(constB8)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2063, 2056])).
% 38.78/25.26 tff(2065,plain,
% 38.78/25.26 (((~![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)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2066,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2067,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2066, 2065])).
% 38.78/25.26 tff(2068,plain,
% 38.78/25.26 (~v104(constB8)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2067, 355, 1327, 1338])).
% 38.78/25.26 tff(2069,plain,
% 38.78/25.26 (((~![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))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2070,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2071,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2070, 2069])).
% 38.78/25.26 tff(2072,plain,
% 38.78/25.26 (v102(constB8) | v104(constB8)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2071, 369, 1327])).
% 38.78/25.26 tff(2073,plain,
% 38.78/25.26 (v102(constB8)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2072, 2068])).
% 38.78/25.26 tff(2074,plain,
% 38.78/25.26 (v1(constB8) <=> v1(constB8)),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2075,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 38.78/25.26 tff(2076,plain,
% 38.78/25.26 (v1(constB8)),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2075, 2074])).
% 38.78/25.26 tff(2077,plain,
% 38.78/25.26 (((~![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)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2078,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2079,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 38.78/25.26 tff(2080,plain,
% 38.78/25.26 (v101(constB8) | (~v102(constB8))),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2079, 387, 1327, 2076])).
% 38.78/25.26 tff(2081,plain,
% 38.78/25.26 (v101(constB8)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2080, 2073])).
% 38.78/25.26 tff(2082,plain,
% 38.78/25.26 (((~![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)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2083,plain,
% 38.78/25.26 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2084,plain,
% 38.78/25.26 (((~![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))))),
% 38.78/25.26 inference(monotonicity,[status(thm)],[2083])).
% 38.78/25.26 tff(2085,plain,
% 38.78/25.26 (((~![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)))),
% 38.78/25.26 inference(transitivity,[status(thm)],[2084, 2082])).
% 38.78/25.26 tff(2086,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2087,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2086, 2085])).
% 38.78/25.26 tff(2088,plain,
% 38.78/25.26 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2087, 402, 1327])).
% 38.78/25.26 tff(2089,plain,
% 38.78/25.26 (v100(constB8) | (~v110(constB8))),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2088, 2081])).
% 38.78/25.26 tff(2090,plain,
% 38.78/25.26 (v100(constB8)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2089, 2064])).
% 38.78/25.26 tff(2091,plain,
% 38.78/25.26 (^[VarNext: $i] : refl((v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 38.78/25.26 inference(bind,[status(th)],[])).
% 38.78/25.26 tff(2092,plain,
% 38.78/25.26 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 38.78/25.26 inference(quant_intro,[status(thm)],[2091])).
% 38.78/25.26 tff(2093,plain,
% 38.78/25.26 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2094,plain,
% 38.78/25.26 (^[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)))))),
% 38.78/25.26 inference(bind,[status(th)],[])).
% 38.78/25.26 tff(2095,plain,
% 38.78/25.26 (![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 38.78/25.26 inference(quant_intro,[status(thm)],[2094])).
% 38.78/25.26 tff(2096,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 38.78/25.26 tff(2097,plain,
% 38.78/25.26 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 38.78/25.26 tff(2098,plain,
% 38.78/25.26 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2097, 2093])).
% 38.78/25.26 tff(2099,plain,(
% 38.78/25.26 ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 38.78/25.26 inference(skolemize,[status(sab)],[2098])).
% 38.78/25.26 tff(2100,plain,
% 38.78/25.26 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2099, 2092])).
% 38.78/25.26 tff(2101,plain,
% 38.78/25.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2102,plain,
% 38.78/25.26 ((v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2103,plain,
% 38.78/25.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8))))),
% 38.78/25.26 inference(monotonicity,[status(thm)],[2102])).
% 38.78/25.26 tff(2104,plain,
% 38.78/25.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 38.78/25.26 inference(transitivity,[status(thm)],[2103, 2101])).
% 38.78/25.26 tff(2105,plain,
% 38.78/25.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2106,plain,
% 38.78/25.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2105, 2104])).
% 38.78/25.26 tff(2107,plain,
% 38.78/25.26 (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2))),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2106, 2100, 2090])).
% 38.78/25.26 tff(2108,plain,
% 38.78/25.26 (v90(constB8, bitIndex2)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2107, 1841])).
% 38.78/25.26 tff(2109,plain,
% 38.78/25.26 (^[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)))),
% 38.78/25.26 inference(bind,[status(th)],[])).
% 38.78/25.26 tff(2110,plain,
% 38.78/25.26 (![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))),
% 38.78/25.26 inference(quant_intro,[status(thm)],[2109])).
% 38.78/25.26 tff(2111,plain,
% 38.78/25.26 (![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))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2112,plain,
% 38.78/25.26 (^[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))))),
% 38.78/25.26 inference(bind,[status(th)],[])).
% 38.78/25.26 tff(2113,plain,
% 38.78/25.26 (![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))),
% 38.78/25.26 inference(quant_intro,[status(thm)],[2112])).
% 38.78/25.26 tff(2114,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 38.78/25.26 tff(2115,plain,
% 38.78/25.26 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2114, 2113])).
% 38.78/25.26 tff(2116,plain,
% 38.78/25.26 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2115, 2111])).
% 38.78/25.26 tff(2117,plain,(
% 38.78/25.26 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 38.78/25.26 inference(skolemize,[status(sab)],[2116])).
% 38.78/25.26 tff(2118,plain,
% 38.78/25.26 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2117, 2110])).
% 38.78/25.26 tff(2119,plain,
% 38.78/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2120,plain,
% 38.78/25.26 (((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2)) <=> ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2121,plain,
% 38.78/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2)))),
% 38.78/25.26 inference(monotonicity,[status(thm)],[2120])).
% 38.78/25.26 tff(2122,plain,
% 38.78/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 38.78/25.26 inference(transitivity,[status(thm)],[2121, 2119])).
% 38.78/25.26 tff(2123,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2124,plain,
% 38.78/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2)),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2123, 2122])).
% 38.78/25.26 tff(2125,plain,
% 38.78/25.26 ((~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2124, 2118, 1206])).
% 38.78/25.26 tff(2126,plain,
% 38.78/25.26 ((~v90(constB8, bitIndex2)) | v90(constB9, bitIndex2)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2125, 1218])).
% 38.78/25.26 tff(2127,plain,
% 38.78/25.26 (v90(constB9, bitIndex2)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2126, 2108])).
% 38.78/25.26 tff(2128,plain,
% 38.78/25.26 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 38.78/25.26 inference(bind,[status(th)],[])).
% 38.78/25.26 tff(2129,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.26 inference(quant_intro,[status(thm)],[2128])).
% 38.78/25.26 tff(2130,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2131,plain,
% 38.78/25.26 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 38.78/25.26 inference(bind,[status(th)],[])).
% 38.78/25.26 tff(2132,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.26 inference(quant_intro,[status(thm)],[2131])).
% 38.78/25.26 tff(2133,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 38.78/25.26 tff(2134,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2133, 2132])).
% 38.78/25.26 tff(2135,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2134, 2130])).
% 38.78/25.26 tff(2136,plain,(
% 38.78/25.26 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.26 inference(skolemize,[status(sab)],[2135])).
% 38.78/25.26 tff(2137,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2136, 2129])).
% 38.78/25.26 tff(2138,plain,
% 38.78/25.26 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2139,plain,
% 38.78/25.26 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2140,plain,
% 38.78/25.26 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2139, 2138])).
% 38.78/25.26 tff(2141,plain,
% 38.78/25.26 (~v130(constB7, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2140, 2137, 1793])).
% 38.78/25.26 tff(2142,plain,
% 38.78/25.26 ((~v127(constB7, bitIndex1)) | v130(constB7, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[1551, 527, 1811])).
% 38.78/25.26 tff(2143,plain,
% 38.78/25.26 (~v127(constB7, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2142, 2141])).
% 38.78/25.26 tff(2144,plain,
% 38.78/25.26 (~v129(constB8, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[1544, 2143])).
% 38.78/25.26 tff(2145,plain,
% 38.78/25.26 ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[1538, 560, 2090])).
% 38.78/25.26 tff(2146,plain,
% 38.78/25.26 (~v90(constB8, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2145, 2144])).
% 38.78/25.26 tff(2147,plain,
% 38.78/25.26 (~v90(constB9, bitIndex1)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[1531, 2146])).
% 38.78/25.26 tff(2148,plain,
% 38.78/25.26 (~v130(constB7, bitIndex0)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[1489, 1486, 1793])).
% 38.78/25.26 tff(2149,plain,
% 38.78/25.26 ((~v127(constB7, bitIndex0)) | v130(constB7, bitIndex0)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[1475, 944, 1811])).
% 38.78/25.26 tff(2150,plain,
% 38.78/25.26 (~v127(constB7, bitIndex0)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2149, 2148])).
% 38.78/25.26 tff(2151,plain,
% 38.78/25.26 (~v129(constB8, bitIndex0)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[1468, 2150])).
% 38.78/25.26 tff(2152,plain,
% 38.78/25.26 ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[1462, 977, 2090])).
% 38.78/25.26 tff(2153,plain,
% 38.78/25.26 (~v90(constB8, bitIndex0)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[2152, 2151])).
% 38.78/25.26 tff(2154,plain,
% 38.78/25.26 (~v90(constB9, bitIndex0)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[1321, 2153])).
% 38.78/25.26 tff(2155,plain,
% 38.78/25.26 (v123(constB9)),
% 38.78/25.26 inference(unit_resolution,[status(thm)],[1283, 1280, 2154, 2147, 2127])).
% 38.78/25.26 tff(2156,plain,
% 38.78/25.26 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 38.78/25.26 inference(bind,[status(th)],[])).
% 38.78/25.26 tff(2157,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.26 inference(quant_intro,[status(thm)],[2156])).
% 38.78/25.26 tff(2158,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2159,plain,
% 38.78/25.26 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 38.78/25.26 inference(bind,[status(th)],[])).
% 38.78/25.26 tff(2160,plain,
% 38.78/25.26 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.26 inference(quant_intro,[status(thm)],[2159])).
% 38.78/25.26 tff(2161,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 38.78/25.26 tff(2162,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2161, 2160])).
% 38.78/25.26 tff(2163,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2162, 2158])).
% 38.78/25.26 tff(2164,plain,(
% 38.78/25.26 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.26 inference(skolemize,[status(sab)],[2163])).
% 38.78/25.26 tff(2165,plain,
% 38.78/25.26 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.26 inference(modus_ponens,[status(thm)],[2164, 2157])).
% 38.78/25.26 tff(2166,plain,
% 38.78/25.26 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2))),
% 38.78/25.26 inference(rewrite,[status(thm)],[])).
% 38.78/25.26 tff(2167,plain,
% 38.78/25.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))),
% 38.78/25.26 inference(quant_inst,[status(thm)],[])).
% 38.78/25.26 tff(2168,plain,
% 38.78/25.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2167, 2166])).
% 38.78/25.27 tff(2169,plain,
% 38.78/25.27 (v130(constB9, bitIndex2)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2168, 2165, 2155])).
% 38.78/25.27 tff(2170,plain,
% 38.78/25.27 (((~![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))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2171,plain,
% 38.78/25.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2172,plain,
% 38.78/25.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2171, 2170])).
% 38.78/25.27 tff(2173,plain,
% 38.78/25.27 (v26(constB9) | v127(constB9, bitIndex2)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2172, 1821, 2169])).
% 38.78/25.27 tff(2174,plain,
% 38.78/25.27 (v127(constB9, bitIndex2)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2173, 109])).
% 38.78/25.27 tff(2175,plain,
% 38.78/25.27 (((~![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))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2176,plain,
% 38.78/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2177,plain,
% 38.78/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 38.78/25.27 tff(2178,plain,
% 38.78/25.27 ((~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2177, 1836, 1600])).
% 38.78/25.27 tff(2179,plain,
% 38.78/25.27 (v129(constB10, bitIndex2)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2178, 2174])).
% 38.78/25.27 tff(2180,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2181,plain,
% 38.78/25.27 ((v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2182,plain,
% 38.78/25.27 (((~![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))))),
% 38.78/25.27 inference(monotonicity,[status(thm)],[2181])).
% 38.78/25.27 tff(2183,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(transitivity,[status(thm)],[2182, 2180])).
% 38.78/25.27 tff(2184,plain,
% 38.78/25.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2185,plain,
% 38.78/25.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 38.78/25.27 tff(2186,plain,
% 38.78/25.27 (v90(constB10, bitIndex2) | (~v100(constB10))),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2185, 2100, 2179])).
% 38.78/25.27 tff(2187,plain,
% 38.78/25.27 (v90(constB10, bitIndex2)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2186, 1634])).
% 38.78/25.27 tff(2188,plain,
% 38.78/25.27 ((~v1(constB11)) <=> (~v1(constB11))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2189,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 38.78/25.27 tff(2190,plain,
% 38.78/25.27 (~v1(constB11)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2189, 2188])).
% 38.78/25.27 tff(2191,plain,
% 38.78/25.27 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2192,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 38.78/25.27 tff(2193,plain,
% 38.78/25.27 (nextState(constB10, constB11)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 38.78/25.27 tff(2194,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2195,plain,
% 38.78/25.27 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2196,plain,
% 38.78/25.27 (((~![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))))),
% 38.78/25.27 inference(monotonicity,[status(thm)],[2195])).
% 38.78/25.27 tff(2197,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(transitivity,[status(thm)],[2196, 2194])).
% 38.78/25.27 tff(2198,plain,
% 38.78/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2199,plain,
% 38.78/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2198, 2197])).
% 38.78/25.27 tff(2200,plain,
% 38.78/25.27 (~v101(constB11)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2199, 133, 2193, 2190])).
% 38.78/25.27 tff(2201,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2202,plain,
% 38.78/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2203,plain,
% 38.78/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2202, 2201])).
% 38.78/25.27 tff(2204,plain,
% 38.78/25.27 (v101(constB11) | (~v100(constB11))),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2203, 150, 2193])).
% 38.78/25.27 tff(2205,plain,
% 38.78/25.27 (~v100(constB11)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2204, 2200])).
% 38.78/25.27 tff(2206,plain,
% 38.78/25.27 (((~![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))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2207,plain,
% 38.78/25.27 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)) <=> ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2208,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(monotonicity,[status(thm)],[2207])).
% 38.78/25.27 tff(2209,plain,
% 38.78/25.27 (((~![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))),
% 38.78/25.27 inference(transitivity,[status(thm)],[2208, 2206])).
% 38.78/25.27 tff(2210,plain,
% 38.78/25.27 ((~![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))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2211,plain,
% 38.78/25.27 ((~![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)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2210, 2209])).
% 38.78/25.27 tff(2212,plain,
% 38.78/25.27 ((~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2211, 2118, 2193])).
% 38.78/25.27 tff(2213,plain,
% 38.78/25.27 ((~v90(constB10, bitIndex2)) | v90(constB11, bitIndex2)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2212, 2205])).
% 38.78/25.27 tff(2214,plain,
% 38.78/25.27 (v90(constB11, bitIndex2)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2213, 2187])).
% 38.78/25.27 tff(2215,plain,
% 38.78/25.27 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB9)) | (~v130(constB9, bitIndex1)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2216,plain,
% 38.78/25.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex1)))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2217,plain,
% 38.78/25.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB9)) | (~v130(constB9, bitIndex1))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2216, 2215])).
% 38.78/25.27 tff(2218,plain,
% 38.78/25.27 (~v130(constB9, bitIndex1)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2217, 1579, 2155])).
% 38.78/25.27 tff(2219,plain,
% 38.78/25.27 (((~![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))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2220,plain,
% 38.78/25.27 ((v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1))) <=> ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2221,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(monotonicity,[status(thm)],[2220])).
% 38.78/25.27 tff(2222,plain,
% 38.78/25.27 (((~![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))),
% 38.78/25.27 inference(transitivity,[status(thm)],[2221, 2219])).
% 38.78/25.27 tff(2223,plain,
% 38.78/25.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2224,plain,
% 38.78/25.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 38.78/25.27 tff(2225,plain,
% 38.78/25.27 ((~v127(constB9, bitIndex1)) | v26(constB9)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2224, 527, 2218])).
% 38.78/25.27 tff(2226,plain,
% 38.78/25.27 (~v127(constB9, bitIndex1)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2225, 109])).
% 38.78/25.27 tff(2227,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2228,plain,
% 38.78/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2229,plain,
% 38.78/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2228, 2227])).
% 38.78/25.27 tff(2230,plain,
% 38.78/25.27 (v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2229, 545, 1600])).
% 38.78/25.27 tff(2231,plain,
% 38.78/25.27 (~v129(constB10, bitIndex1)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2230, 2226])).
% 38.78/25.27 tff(2232,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2233,plain,
% 38.78/25.27 (((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1)) <=> ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2234,plain,
% 38.78/25.27 (((~![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))))),
% 38.78/25.27 inference(monotonicity,[status(thm)],[2233])).
% 38.78/25.27 tff(2235,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(transitivity,[status(thm)],[2234, 2232])).
% 38.78/25.27 tff(2236,plain,
% 38.78/25.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2237,plain,
% 38.78/25.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2236, 2235])).
% 38.78/25.27 tff(2238,plain,
% 38.78/25.27 ((~v90(constB10, bitIndex1)) | (~v100(constB10))),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2237, 560, 2231])).
% 38.78/25.27 tff(2239,plain,
% 38.78/25.27 (~v90(constB10, bitIndex1)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2238, 1634])).
% 38.78/25.27 tff(2240,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2241,plain,
% 38.78/25.27 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))) <=> (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2242,plain,
% 38.78/25.27 (((~![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))))),
% 38.78/25.27 inference(monotonicity,[status(thm)],[2241])).
% 38.78/25.27 tff(2243,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(transitivity,[status(thm)],[2242, 2240])).
% 38.78/25.27 tff(2244,plain,
% 38.78/25.27 ((~![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)))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2245,plain,
% 38.78/25.27 ((~![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))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2244, 2243])).
% 38.78/25.27 tff(2246,plain,
% 38.78/25.27 (v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2245, 186, 2193])).
% 38.78/25.27 tff(2247,plain,
% 38.78/25.27 (v90(constB10, bitIndex1) | (~v90(constB11, bitIndex1))),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2246, 2205])).
% 38.78/25.27 tff(2248,plain,
% 38.78/25.27 (~v90(constB11, bitIndex1)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2247, 2239])).
% 38.78/25.27 tff(2249,plain,
% 38.78/25.27 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 38.78/25.27 inference(bind,[status(th)],[])).
% 38.78/25.27 tff(2250,plain,
% 38.78/25.27 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.27 inference(quant_intro,[status(thm)],[2249])).
% 38.78/25.27 tff(2251,plain,
% 38.78/25.27 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2252,plain,
% 38.78/25.27 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 38.78/25.27 inference(bind,[status(th)],[])).
% 38.78/25.27 tff(2253,plain,
% 38.78/25.27 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.27 inference(quant_intro,[status(thm)],[2252])).
% 38.78/25.27 tff(2254,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v123(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 38.78/25.27 tff(2255,plain,
% 38.78/25.27 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2254, 2253])).
% 38.78/25.27 tff(2256,plain,
% 38.78/25.27 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2255, 2251])).
% 38.78/25.27 tff(2257,plain,(
% 38.78/25.27 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.27 inference(skolemize,[status(sab)],[2256])).
% 38.78/25.27 tff(2258,plain,
% 38.78/25.27 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2257, 2250])).
% 38.78/25.27 tff(2259,plain,
% 38.78/25.27 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB9)) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB9)) | v130(constB9, bitIndex0))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2260,plain,
% 38.78/25.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB9)) | v130(constB9, bitIndex0))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2261,plain,
% 38.78/25.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB9)) | v130(constB9, bitIndex0)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2260, 2259])).
% 38.78/25.27 tff(2262,plain,
% 38.78/25.27 (v130(constB9, bitIndex0)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2261, 2258, 2155])).
% 38.78/25.27 tff(2263,plain,
% 38.78/25.27 (((~![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))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2264,plain,
% 38.78/25.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2265,plain,
% 38.78/25.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2264, 2263])).
% 38.78/25.27 tff(2266,plain,
% 38.78/25.27 (v26(constB9) | v127(constB9, bitIndex0)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2265, 601, 2262])).
% 38.78/25.27 tff(2267,plain,
% 38.78/25.27 (v127(constB9, bitIndex0)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2266, 109])).
% 38.78/25.27 tff(2268,plain,
% 38.78/25.27 (((~![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))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2269,plain,
% 38.78/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2270,plain,
% 38.78/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2269, 2268])).
% 38.78/25.27 tff(2271,plain,
% 38.78/25.27 ((~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2270, 616, 1600])).
% 38.78/25.27 tff(2272,plain,
% 38.78/25.27 (v129(constB10, bitIndex0)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2271, 2267])).
% 38.78/25.27 tff(2273,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2274,plain,
% 38.78/25.27 ((v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2275,plain,
% 38.78/25.27 (((~![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))))),
% 38.78/25.27 inference(monotonicity,[status(thm)],[2274])).
% 38.78/25.27 tff(2276,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(transitivity,[status(thm)],[2275, 2273])).
% 38.78/25.27 tff(2277,plain,
% 38.78/25.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2278,plain,
% 38.78/25.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2277, 2276])).
% 38.78/25.27 tff(2279,plain,
% 38.78/25.27 (v90(constB10, bitIndex0) | (~v100(constB10))),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2278, 631, 2272])).
% 38.78/25.27 tff(2280,plain,
% 38.78/25.27 (v90(constB10, bitIndex0)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2279, 1634])).
% 38.78/25.27 tff(2281,plain,
% 38.78/25.27 (((~![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))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2282,plain,
% 38.78/25.27 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2283,plain,
% 38.78/25.27 (((~![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)))),
% 38.78/25.27 inference(monotonicity,[status(thm)],[2282])).
% 38.78/25.27 tff(2284,plain,
% 38.78/25.27 (((~![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))),
% 38.78/25.27 inference(transitivity,[status(thm)],[2283, 2281])).
% 38.78/25.27 tff(2285,plain,
% 38.78/25.27 ((~![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))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2286,plain,
% 38.78/25.27 ((~![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)),
% 38.78/25.27 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 38.78/25.27 tff(2287,plain,
% 38.78/25.27 ((~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2286, 649, 2193])).
% 38.78/25.27 tff(2288,plain,
% 38.78/25.27 ((~v90(constB10, bitIndex0)) | v90(constB11, bitIndex0)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2287, 2205])).
% 38.78/25.27 tff(2289,plain,
% 38.78/25.27 (v90(constB11, bitIndex0)),
% 38.78/25.27 inference(unit_resolution,[status(thm)],[2288, 2280])).
% 38.78/25.27 tff(2290,plain,
% 38.78/25.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))),
% 38.78/25.27 inference(rewrite,[status(thm)],[])).
% 38.78/25.27 tff(2291,plain,
% 38.78/25.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))),
% 38.78/25.27 inference(quant_inst,[status(thm)],[])).
% 38.78/25.27 tff(2292,plain,
% 38.78/25.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2291, 2290])).
% 38.78/25.28 tff(2293,plain,
% 38.78/25.28 (v124(constB11)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2292, 1264, 2289, 2248, 2214])).
% 38.78/25.28 tff(2294,plain,
% 38.78/25.28 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 38.78/25.28 inference(bind,[status(th)],[])).
% 38.78/25.28 tff(2295,plain,
% 38.78/25.28 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.28 inference(quant_intro,[status(thm)],[2294])).
% 38.78/25.28 tff(2296,plain,
% 38.78/25.28 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2297,plain,
% 38.78/25.28 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 38.78/25.28 inference(bind,[status(th)],[])).
% 38.78/25.28 tff(2298,plain,
% 38.78/25.28 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.28 inference(quant_intro,[status(thm)],[2297])).
% 38.78/25.28 tff(2299,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v124(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 38.78/25.28 tff(2300,plain,
% 38.78/25.28 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2299, 2298])).
% 38.78/25.28 tff(2301,plain,
% 38.78/25.28 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2300, 2296])).
% 38.78/25.28 tff(2302,plain,(
% 38.78/25.28 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.28 inference(skolemize,[status(sab)],[2301])).
% 38.78/25.28 tff(2303,plain,
% 38.78/25.28 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2302, 2295])).
% 38.78/25.28 tff(2304,plain,
% 38.78/25.28 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB11)) | v130(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB11)) | v130(constB11, bitIndex2))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2305,plain,
% 38.78/25.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB11)) | v130(constB11, bitIndex2))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2306,plain,
% 38.78/25.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB11)) | v130(constB11, bitIndex2)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 38.78/25.28 tff(2307,plain,
% 38.78/25.28 (v130(constB11, bitIndex2)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2306, 2303, 2293])).
% 38.78/25.28 tff(2308,plain,
% 38.78/25.28 (((~![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))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2309,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2310,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 38.78/25.28 tff(2311,plain,
% 38.78/25.28 (v26(constB11) | v127(constB11, bitIndex2)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2310, 1821, 2307])).
% 38.78/25.28 tff(2312,plain,
% 38.78/25.28 (v127(constB11, bitIndex2)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2311, 105])).
% 38.78/25.28 tff(2313,plain,
% 38.78/25.28 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2314,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 38.78/25.28 tff(2315,plain,
% 38.78/25.28 (nextState(constB11, constB12)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2314, 2313])).
% 38.78/25.28 tff(2316,plain,
% 38.78/25.28 (((~![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))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2317,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2318,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 38.78/25.28 tff(2319,plain,
% 38.78/25.28 ((~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2318, 1836, 2315])).
% 38.78/25.28 tff(2320,plain,
% 38.78/25.28 (v129(constB12, bitIndex2)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2319, 2312])).
% 38.78/25.28 tff(2321,assumption,(~v26(constB11)), introduced(assumption)).
% 38.78/25.28 tff(2322,plain,
% 38.78/25.28 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB11) | (~v124(constB11)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB11) | (~v124(constB11)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2323,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB11) | (~v124(constB11)))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2324,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB11) | (~v124(constB11))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2323, 2322])).
% 38.78/25.28 tff(2325,plain,
% 38.78/25.28 (v114(constB11)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2324, 1236, 2293])).
% 38.78/25.28 tff(2326,plain,
% 38.78/25.28 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2327,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2328,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2327, 2326])).
% 38.78/25.28 tff(2329,plain,
% 38.78/25.28 (v113(constB11)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2328, 294, 2325])).
% 38.78/25.28 tff(2330,plain,
% 38.78/25.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2331,plain,
% 38.78/25.28 ((v26(constB11) | (~v113(constB11)) | v112(constB11)) <=> (v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2332,plain,
% 38.78/25.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11))))),
% 38.78/25.28 inference(monotonicity,[status(thm)],[2331])).
% 38.78/25.28 tff(2333,plain,
% 38.78/25.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 38.78/25.28 inference(transitivity,[status(thm)],[2332, 2330])).
% 38.78/25.28 tff(2334,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2335,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2334, 2333])).
% 38.78/25.28 tff(2336,plain,
% 38.78/25.28 (v26(constB11) | v112(constB11)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2335, 308, 2329])).
% 38.78/25.28 tff(2337,plain,
% 38.78/25.28 (v112(constB11)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2336, 2321])).
% 38.78/25.28 tff(2338,plain,
% 38.78/25.28 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 38.78/25.28 inference(bind,[status(th)],[])).
% 38.78/25.28 tff(2339,plain,
% 38.78/25.28 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.28 inference(quant_intro,[status(thm)],[2338])).
% 38.78/25.28 tff(2340,plain,
% 38.78/25.28 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2341,plain,
% 38.78/25.28 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 38.78/25.28 inference(bind,[status(th)],[])).
% 38.78/25.28 tff(2342,plain,
% 38.78/25.28 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.28 inference(quant_intro,[status(thm)],[2341])).
% 38.78/25.28 tff(2343,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 38.78/25.28 tff(2344,plain,
% 38.78/25.28 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 38.78/25.28 tff(2345,plain,
% 38.78/25.28 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2344, 2340])).
% 38.78/25.28 tff(2346,plain,(
% 38.78/25.28 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.28 inference(skolemize,[status(sab)],[2345])).
% 38.78/25.28 tff(2347,plain,
% 38.78/25.28 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2346, 2339])).
% 38.78/25.28 tff(2348,plain,
% 38.78/25.28 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB11)) | v130(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB11)) | v130(constB11, bitIndex1))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2349,plain,
% 38.78/25.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB11)) | v130(constB11, bitIndex1))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2350,plain,
% 38.78/25.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB11)) | v130(constB11, bitIndex1)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2349, 2348])).
% 38.78/25.28 tff(2351,plain,
% 38.78/25.28 (v130(constB11, bitIndex1)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2350, 2347, 2293])).
% 38.78/25.28 tff(2352,plain,
% 38.78/25.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2353,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2354,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2353, 2352])).
% 38.78/25.28 tff(2355,plain,
% 38.78/25.28 (v26(constB11) | v127(constB11, bitIndex1)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2354, 882, 2351])).
% 38.78/25.28 tff(2356,plain,
% 38.78/25.28 (v127(constB11, bitIndex1)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2355, 2321])).
% 38.78/25.28 tff(2357,plain,
% 38.78/25.28 (((~![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))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2358,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2359,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 38.78/25.28 tff(2360,plain,
% 38.78/25.28 ((~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2359, 897, 2315])).
% 38.78/25.28 tff(2361,plain,
% 38.78/25.28 (v129(constB12, bitIndex1)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2360, 2356])).
% 38.78/25.28 tff(2362,assumption,(~v90(constB12, bitIndex1)), introduced(assumption)).
% 38.78/25.28 tff(2363,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2364,plain,
% 38.78/25.28 ((v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1))) <=> (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2365,plain,
% 38.78/25.28 (((~![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))))),
% 38.78/25.28 inference(monotonicity,[status(thm)],[2364])).
% 38.78/25.28 tff(2366,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(transitivity,[status(thm)],[2365, 2363])).
% 38.78/25.28 tff(2367,plain,
% 38.78/25.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2368,plain,
% 38.78/25.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2367, 2366])).
% 38.78/25.28 tff(2369,plain,
% 38.78/25.28 ((~v129(constB12, bitIndex1)) | (~v100(constB12))),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2368, 912, 2362])).
% 38.78/25.28 tff(2370,plain,
% 38.78/25.28 (~v100(constB12)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2369, 2361])).
% 38.78/25.28 tff(2371,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2372,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2373,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2372, 2371])).
% 38.78/25.28 tff(2374,plain,
% 38.78/25.28 (~v104(constB12)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2373, 355, 2315, 2190])).
% 38.78/25.28 tff(2375,plain,
% 38.78/25.28 (((~![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))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2376,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2377,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2376, 2375])).
% 38.78/25.28 tff(2378,plain,
% 38.78/25.28 (v102(constB12) | v104(constB12)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2377, 369, 2315])).
% 38.78/25.28 tff(2379,plain,
% 38.78/25.28 (v102(constB12)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2378, 2374])).
% 38.78/25.28 tff(2380,plain,
% 38.78/25.28 (v1(constB12) <=> v1(constB12)),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2381,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 38.78/25.28 tff(2382,plain,
% 38.78/25.28 (v1(constB12)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 38.78/25.28 tff(2383,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2384,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2385,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2384, 2383])).
% 38.78/25.28 tff(2386,plain,
% 38.78/25.28 (v101(constB12) | (~v102(constB12))),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2385, 387, 2315, 2382])).
% 38.78/25.28 tff(2387,plain,
% 38.78/25.28 (v101(constB12)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2386, 2379])).
% 38.78/25.28 tff(2388,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2389,plain,
% 38.78/25.28 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2390,plain,
% 38.78/25.28 (((~![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))))),
% 38.78/25.28 inference(monotonicity,[status(thm)],[2389])).
% 38.78/25.28 tff(2391,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(transitivity,[status(thm)],[2390, 2388])).
% 38.78/25.28 tff(2392,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2393,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 38.78/25.28 tff(2394,plain,
% 38.78/25.28 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2393, 402, 2315])).
% 38.78/25.28 tff(2395,plain,
% 38.78/25.28 (v100(constB12) | (~v110(constB12))),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2394, 2387])).
% 38.78/25.28 tff(2396,plain,
% 38.78/25.28 (~v110(constB12)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2395, 2370])).
% 38.78/25.28 tff(2397,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2398,plain,
% 38.78/25.28 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2399,plain,
% 38.78/25.28 (((~![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))))),
% 38.78/25.28 inference(monotonicity,[status(thm)],[2398])).
% 38.78/25.28 tff(2400,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(transitivity,[status(thm)],[2399, 2397])).
% 38.78/25.28 tff(2401,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2402,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 38.78/25.28 tff(2403,plain,
% 38.78/25.28 (v110(constB12) | (~v108(constB11))),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2402, 337, 2315])).
% 38.78/25.28 tff(2404,plain,
% 38.78/25.28 (~v108(constB11)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2403, 2396])).
% 38.78/25.28 tff(2405,plain,
% 38.78/25.28 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2406,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2407,plain,
% 38.78/25.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 38.78/25.28 tff(2408,plain,
% 38.78/25.28 ($false),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2407, 320, 2404, 2337])).
% 38.78/25.28 tff(2409,plain,(v26(constB11) | v90(constB12, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 38.78/25.28 tff(2410,plain,
% 38.78/25.28 (v90(constB12, bitIndex1)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2409, 105])).
% 38.78/25.28 tff(2411,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2412,plain,
% 38.78/25.28 (((~nextState(constB11, constB12)) | v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1))) <=> (v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2413,plain,
% 38.78/25.28 (((~![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))))),
% 38.78/25.28 inference(monotonicity,[status(thm)],[2412])).
% 38.78/25.28 tff(2414,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(transitivity,[status(thm)],[2413, 2411])).
% 38.78/25.28 tff(2415,plain,
% 38.78/25.28 ((~![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)))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2416,plain,
% 38.78/25.28 ((~![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))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2415, 2414])).
% 38.78/25.28 tff(2417,plain,
% 38.78/25.28 (v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1))),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2416, 186, 2315])).
% 38.78/25.28 tff(2418,plain,
% 38.78/25.28 (v100(constB12)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2417, 2410, 2248])).
% 38.78/25.28 tff(2419,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2420,plain,
% 38.78/25.28 ((v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2421,plain,
% 38.78/25.28 (((~![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))))),
% 38.78/25.28 inference(monotonicity,[status(thm)],[2420])).
% 38.78/25.28 tff(2422,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(transitivity,[status(thm)],[2421, 2419])).
% 38.78/25.28 tff(2423,plain,
% 38.78/25.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2424,plain,
% 38.78/25.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2423, 2422])).
% 38.78/25.28 tff(2425,plain,
% 38.78/25.28 (v90(constB12, bitIndex2)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2424, 2100, 2418, 2320])).
% 38.78/25.28 tff(2426,plain,
% 38.78/25.28 ((~v1(constB13)) <=> (~v1(constB13))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2427,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 38.78/25.28 tff(2428,plain,
% 38.78/25.28 (~v1(constB13)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2427, 2426])).
% 38.78/25.28 tff(2429,plain,
% 38.78/25.28 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2430,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 38.78/25.28 tff(2431,plain,
% 38.78/25.28 (nextState(constB12, constB13)),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 38.78/25.28 tff(2432,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2433,plain,
% 38.78/25.28 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2434,plain,
% 38.78/25.28 (((~![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))))),
% 38.78/25.28 inference(monotonicity,[status(thm)],[2433])).
% 38.78/25.28 tff(2435,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(transitivity,[status(thm)],[2434, 2432])).
% 38.78/25.28 tff(2436,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2437,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2436, 2435])).
% 38.78/25.28 tff(2438,plain,
% 38.78/25.28 (~v101(constB13)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2437, 133, 2431, 2428])).
% 38.78/25.28 tff(2439,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2440,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 38.78/25.28 inference(quant_inst,[status(thm)],[])).
% 38.78/25.28 tff(2441,plain,
% 38.78/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 38.78/25.28 inference(modus_ponens,[status(thm)],[2440, 2439])).
% 38.78/25.28 tff(2442,plain,
% 38.78/25.28 (v101(constB13) | (~v100(constB13))),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2441, 150, 2431])).
% 38.78/25.28 tff(2443,plain,
% 38.78/25.28 (~v100(constB13)),
% 38.78/25.28 inference(unit_resolution,[status(thm)],[2442, 2438])).
% 38.78/25.28 tff(2444,plain,
% 38.78/25.28 (((~![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))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2445,plain,
% 38.78/25.28 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 38.78/25.28 inference(rewrite,[status(thm)],[])).
% 38.78/25.28 tff(2446,plain,
% 38.78/25.28 (((~![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)))),
% 38.78/25.28 inference(monotonicity,[status(thm)],[2445])).
% 38.78/25.28 tff(2447,plain,
% 38.78/25.28 (((~![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))),
% 38.78/25.28 inference(transitivity,[status(thm)],[2446, 2444])).
% 38.78/25.28 tff(2448,plain,
% 38.78/25.28 ((~![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))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2449,plain,
% 38.78/25.29 ((~![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)),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2448, 2447])).
% 38.78/25.29 tff(2450,plain,
% 38.78/25.29 ((~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2449, 2118, 2431])).
% 38.78/25.29 tff(2451,plain,
% 38.78/25.29 ((~v90(constB12, bitIndex2)) | v90(constB13, bitIndex2)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2450, 2443])).
% 38.78/25.29 tff(2452,plain,
% 38.78/25.29 (v90(constB13, bitIndex2)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2451, 2425])).
% 38.78/25.29 tff(2453,plain,
% 38.78/25.29 (((~![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))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2454,plain,
% 38.78/25.29 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1)) <=> ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2455,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(monotonicity,[status(thm)],[2454])).
% 38.78/25.29 tff(2456,plain,
% 38.78/25.29 (((~![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))),
% 38.78/25.29 inference(transitivity,[status(thm)],[2455, 2453])).
% 38.78/25.29 tff(2457,plain,
% 38.78/25.29 ((~![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))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2458,plain,
% 38.78/25.29 ((~![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)),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 38.78/25.29 tff(2459,plain,
% 38.78/25.29 ((~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2458, 1049, 2431])).
% 38.78/25.29 tff(2460,plain,
% 38.78/25.29 ((~v90(constB12, bitIndex1)) | v90(constB13, bitIndex1)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2459, 2443])).
% 38.78/25.29 tff(2461,plain,
% 38.78/25.29 (v90(constB13, bitIndex1)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2460, 2410])).
% 38.78/25.29 tff(2462,assumption,(~v26(constB9)), introduced(assumption)).
% 38.78/25.29 tff(2463,plain,
% 38.78/25.29 (v112(constB9)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[1592, 2462])).
% 38.78/25.29 tff(2464,plain,
% 38.78/25.29 (v108(constB9)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[1596, 320, 2463])).
% 38.78/25.29 tff(2465,plain,
% 38.78/25.29 (v110(constB10)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[1607, 2464])).
% 38.78/25.29 tff(2466,plain,
% 38.78/25.29 (v100(constB10)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[1633, 2465])).
% 38.78/25.29 tff(2467,plain,
% 38.78/25.29 (v127(constB9, bitIndex2)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2173, 2462])).
% 38.78/25.29 tff(2468,plain,
% 38.78/25.29 (v129(constB10, bitIndex2)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2178, 2467])).
% 38.78/25.29 tff(2469,plain,
% 38.78/25.29 (v90(constB10, bitIndex2) | (~v100(constB10))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2185, 2100, 2468])).
% 38.78/25.29 tff(2470,plain,
% 38.78/25.29 (v90(constB10, bitIndex2)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2469, 2466])).
% 38.78/25.29 tff(2471,plain,
% 38.78/25.29 (v90(constB11, bitIndex2)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2213, 2470])).
% 38.78/25.29 tff(2472,plain,
% 38.78/25.29 (~v127(constB9, bitIndex1)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2225, 2462])).
% 38.78/25.29 tff(2473,plain,
% 38.78/25.29 (~v129(constB10, bitIndex1)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2230, 2472])).
% 38.78/25.29 tff(2474,plain,
% 38.78/25.29 ((~v90(constB10, bitIndex1)) | (~v100(constB10))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2237, 560, 2473])).
% 38.78/25.29 tff(2475,plain,
% 38.78/25.29 (~v90(constB10, bitIndex1)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2474, 2466])).
% 38.78/25.29 tff(2476,plain,
% 38.78/25.29 (~v90(constB11, bitIndex1)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2247, 2475])).
% 38.78/25.29 tff(2477,plain,
% 38.78/25.29 (v127(constB9, bitIndex0)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2266, 2462])).
% 38.78/25.29 tff(2478,plain,
% 38.78/25.29 (v129(constB10, bitIndex0)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2271, 2477])).
% 38.78/25.29 tff(2479,plain,
% 38.78/25.29 (v90(constB10, bitIndex0) | (~v100(constB10))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2278, 631, 2478])).
% 38.78/25.29 tff(2480,plain,
% 38.78/25.29 (v90(constB10, bitIndex0)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2479, 2466])).
% 38.78/25.29 tff(2481,plain,
% 38.78/25.29 (v90(constB11, bitIndex0)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2288, 2480])).
% 38.78/25.29 tff(2482,plain,
% 38.78/25.29 (v124(constB11)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2292, 1264, 2481, 2476, 2471])).
% 38.78/25.29 tff(2483,assumption,(v90(constB12, bitIndex1)), introduced(assumption)).
% 38.78/25.29 tff(2484,plain,
% 38.78/25.29 (v100(constB12)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2417, 2476, 2483])).
% 38.78/25.29 tff(2485,assumption,(v90(constB12, bitIndex0)), introduced(assumption)).
% 38.78/25.29 tff(2486,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2487,plain,
% 38.78/25.29 (((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0)) <=> ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2488,plain,
% 38.78/25.29 (((~![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))))),
% 38.78/25.29 inference(monotonicity,[status(thm)],[2487])).
% 38.78/25.29 tff(2489,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(transitivity,[status(thm)],[2488, 2486])).
% 38.78/25.29 tff(2490,plain,
% 38.78/25.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2491,plain,
% 38.78/25.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 38.78/25.29 tff(2492,plain,
% 38.78/25.29 (v129(constB12, bitIndex0) | (~v100(constB12))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2491, 977, 2485])).
% 38.78/25.29 tff(2493,plain,
% 38.78/25.29 (v129(constB12, bitIndex0)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2492, 2484])).
% 38.78/25.29 tff(2494,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2495,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2496,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2495, 2494])).
% 38.78/25.29 tff(2497,plain,
% 38.78/25.29 (v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2496, 962, 2315])).
% 38.78/25.29 tff(2498,plain,
% 38.78/25.29 (v127(constB11, bitIndex0)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2497, 2493])).
% 38.78/25.29 tff(2499,plain,
% 38.78/25.29 (((~![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))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2500,plain,
% 38.78/25.29 ((v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0))) <=> ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2501,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(monotonicity,[status(thm)],[2500])).
% 38.78/25.29 tff(2502,plain,
% 38.78/25.29 (((~![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))),
% 38.78/25.29 inference(transitivity,[status(thm)],[2501, 2499])).
% 38.78/25.29 tff(2503,plain,
% 38.78/25.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2504,plain,
% 38.78/25.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2503, 2502])).
% 38.78/25.29 tff(2505,plain,
% 38.78/25.29 ((~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2504, 944, 2321])).
% 38.78/25.29 tff(2506,plain,
% 38.78/25.29 (v130(constB11, bitIndex0)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2505, 2498])).
% 38.78/25.29 tff(2507,plain,
% 38.78/25.29 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB11)) | (~v130(constB11, bitIndex0)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2508,plain,
% 38.78/25.29 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex0)))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2509,plain,
% 38.78/25.29 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB11)) | (~v130(constB11, bitIndex0))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2508, 2507])).
% 38.78/25.29 tff(2510,plain,
% 38.78/25.29 ($false),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2509, 1519, 2506, 2482])).
% 38.78/25.29 tff(2511,plain,(v26(constB9) | v26(constB11) | (~v90(constB12, bitIndex0)) | (~v90(constB12, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 38.78/25.29 tff(2512,plain,
% 38.78/25.29 (~v90(constB12, bitIndex0)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2511, 2410, 109, 105])).
% 38.78/25.29 tff(2513,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2514,plain,
% 38.78/25.29 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))) <=> (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2515,plain,
% 38.78/25.29 (((~![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))))),
% 38.78/25.29 inference(monotonicity,[status(thm)],[2514])).
% 38.78/25.29 tff(2516,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(transitivity,[status(thm)],[2515, 2513])).
% 38.78/25.29 tff(2517,plain,
% 38.78/25.29 ((~![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)))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2518,plain,
% 38.78/25.29 ((~![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))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 38.78/25.29 tff(2519,plain,
% 38.78/25.29 (v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2518, 207, 2431])).
% 38.78/25.29 tff(2520,plain,
% 38.78/25.29 (v90(constB12, bitIndex0) | (~v90(constB13, bitIndex0))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2519, 2443])).
% 38.78/25.29 tff(2521,plain,
% 38.78/25.29 (~v90(constB13, bitIndex0)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2520, 2512])).
% 38.78/25.29 tff(2522,plain,
% 38.78/25.29 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2523,plain,
% 38.78/25.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2524,plain,
% 38.78/25.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13)),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2523, 2522])).
% 38.78/25.29 tff(2525,plain,
% 38.78/25.29 ((~v90(constB13, bitIndex2)) | v125(constB13)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2524, 1308, 2521, 2461])).
% 38.78/25.29 tff(2526,plain,
% 38.78/25.29 (v125(constB13)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2525, 2452])).
% 38.78/25.29 tff(2527,plain,
% 38.78/25.29 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB13) | (~v125(constB13)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB13) | (~v125(constB13)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2528,plain,
% 38.78/25.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB13) | (~v125(constB13)))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2529,plain,
% 38.78/25.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB13) | (~v125(constB13))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2528, 2527])).
% 38.78/25.29 tff(2530,plain,
% 38.78/25.29 (v113(constB13)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2529, 1294, 2526])).
% 38.78/25.29 tff(2531,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2532,plain,
% 38.78/25.29 ((v26(constB13) | (~v113(constB13)) | v112(constB13)) <=> (v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2533,plain,
% 38.78/25.29 (((~![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))))),
% 38.78/25.29 inference(monotonicity,[status(thm)],[2532])).
% 38.78/25.29 tff(2534,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(transitivity,[status(thm)],[2533, 2531])).
% 38.78/25.29 tff(2535,plain,
% 38.78/25.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2536,plain,
% 38.78/25.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2535, 2534])).
% 38.78/25.29 tff(2537,plain,
% 38.78/25.29 (v26(constB13) | v112(constB13)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2536, 308, 2530])).
% 38.78/25.29 tff(2538,plain,
% 38.78/25.29 (v112(constB13)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2537, 101])).
% 38.78/25.29 tff(2539,plain,
% 38.78/25.29 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2540,plain,
% 38.78/25.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2541,plain,
% 38.78/25.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 38.78/25.29 tff(2542,plain,
% 38.78/25.29 (v108(constB13)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2541, 320, 2538])).
% 38.78/25.29 tff(2543,plain,
% 38.78/25.29 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2544,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 38.78/25.29 tff(2545,plain,
% 38.78/25.29 (nextState(constB13, constB14)),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2544, 2543])).
% 38.78/25.29 tff(2546,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2547,plain,
% 38.78/25.29 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2548,plain,
% 38.78/25.29 (((~![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))))),
% 38.78/25.29 inference(monotonicity,[status(thm)],[2547])).
% 38.78/25.29 tff(2549,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(transitivity,[status(thm)],[2548, 2546])).
% 38.78/25.29 tff(2550,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2551,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2550, 2549])).
% 38.78/25.29 tff(2552,plain,
% 38.78/25.29 (v110(constB14) | (~v108(constB13))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2551, 337, 2545])).
% 38.78/25.29 tff(2553,plain,
% 38.78/25.29 (v110(constB14)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2552, 2542])).
% 38.78/25.29 tff(2554,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2555,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2556,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2555, 2554])).
% 38.78/25.29 tff(2557,plain,
% 38.78/25.29 (~v104(constB14)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2556, 355, 2545, 2428])).
% 38.78/25.29 tff(2558,plain,
% 38.78/25.29 (((~![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))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2559,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2560,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 38.78/25.29 tff(2561,plain,
% 38.78/25.29 (v102(constB14) | v104(constB14)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2560, 369, 2545])).
% 38.78/25.29 tff(2562,plain,
% 38.78/25.29 (v102(constB14)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2561, 2557])).
% 38.78/25.29 tff(2563,plain,
% 38.78/25.29 (v1(constB14) <=> v1(constB14)),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2564,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 38.78/25.29 tff(2565,plain,
% 38.78/25.29 (v1(constB14)),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 38.78/25.29 tff(2566,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2567,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2568,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 38.78/25.29 tff(2569,plain,
% 38.78/25.29 (v101(constB14) | (~v102(constB14))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2568, 387, 2545, 2565])).
% 38.78/25.29 tff(2570,plain,
% 38.78/25.29 (v101(constB14)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2569, 2562])).
% 38.78/25.29 tff(2571,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2572,plain,
% 38.78/25.29 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2573,plain,
% 38.78/25.29 (((~![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))))),
% 38.78/25.29 inference(monotonicity,[status(thm)],[2572])).
% 38.78/25.29 tff(2574,plain,
% 38.78/25.29 (((~![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)))),
% 38.78/25.29 inference(transitivity,[status(thm)],[2573, 2571])).
% 38.78/25.29 tff(2575,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2576,plain,
% 38.78/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2575, 2574])).
% 38.78/25.29 tff(2577,plain,
% 38.78/25.29 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2576, 402, 2545])).
% 38.78/25.29 tff(2578,plain,
% 38.78/25.29 (v100(constB14) | (~v110(constB14))),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2577, 2570])).
% 38.78/25.29 tff(2579,plain,
% 38.78/25.29 (v100(constB14)),
% 38.78/25.29 inference(unit_resolution,[status(thm)],[2578, 2553])).
% 38.78/25.29 tff(2580,plain,
% 38.78/25.29 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))))),
% 38.78/25.29 inference(bind,[status(th)],[])).
% 38.78/25.29 tff(2581,plain,
% 38.78/25.29 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 38.78/25.29 inference(quant_intro,[status(thm)],[2580])).
% 38.78/25.29 tff(2582,plain,
% 38.78/25.29 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2583,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 38.78/25.29 tff(2584,plain,
% 38.78/25.29 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2583, 2582])).
% 38.78/25.29 tff(2585,plain,(
% 38.78/25.29 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 38.78/25.29 inference(skolemize,[status(sab)],[2584])).
% 38.78/25.29 tff(2586,plain,
% 38.78/25.29 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 38.78/25.29 inference(modus_ponens,[status(thm)],[2585, 2581])).
% 38.78/25.29 tff(2587,plain,
% 38.78/25.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v121(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v121(constB13)))),
% 38.78/25.29 inference(rewrite,[status(thm)],[])).
% 38.78/25.29 tff(2588,plain,
% 38.78/25.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v121(constB13)))),
% 38.78/25.29 inference(quant_inst,[status(thm)],[])).
% 38.78/25.29 tff(2589,plain,
% 38.78/25.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v121(constB13))),
% 38.86/25.29 inference(modus_ponens,[status(thm)],[2588, 2587])).
% 38.86/25.29 tff(2590,plain,
% 38.86/25.29 (~v121(constB13)),
% 38.86/25.29 inference(unit_resolution,[status(thm)],[2589, 2586, 2452])).
% 38.86/25.29 tff(2591,plain,
% 38.86/25.29 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB13, bitIndex0) | (~v122(constB13)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB13, bitIndex0) | (~v122(constB13)))),
% 38.86/25.29 inference(rewrite,[status(thm)],[])).
% 38.86/25.29 tff(2592,plain,
% 38.86/25.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB13, bitIndex0) | (~v122(constB13)))),
% 38.86/25.29 inference(quant_inst,[status(thm)],[])).
% 38.86/25.29 tff(2593,plain,
% 38.86/25.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB13, bitIndex0) | (~v122(constB13))),
% 38.86/25.29 inference(modus_ponens,[status(thm)],[2592, 2591])).
% 38.86/25.29 tff(2594,plain,
% 38.86/25.29 (~v122(constB13)),
% 38.86/25.29 inference(unit_resolution,[status(thm)],[2593, 1968, 2521])).
% 38.86/25.29 tff(2595,plain,
% 38.86/25.29 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 38.86/25.30 inference(bind,[status(th)],[])).
% 38.86/25.30 tff(2596,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 38.86/25.30 inference(quant_intro,[status(thm)],[2595])).
% 38.86/25.30 tff(2597,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2598,plain,
% 38.86/25.30 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 38.86/25.30 inference(bind,[status(th)],[])).
% 38.86/25.30 tff(2599,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 38.86/25.30 inference(quant_intro,[status(thm)],[2598])).
% 38.86/25.30 tff(2600,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 38.86/25.30 tff(2601,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2600, 2599])).
% 38.86/25.30 tff(2602,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2601, 2597])).
% 38.86/25.30 tff(2603,plain,(
% 38.86/25.30 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 38.86/25.30 inference(skolemize,[status(sab)],[2602])).
% 38.86/25.30 tff(2604,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2603, 2596])).
% 38.86/25.30 tff(2605,plain,
% 38.86/25.30 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v90(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v90(constB13, bitIndex1)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2606,plain,
% 38.86/25.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v90(constB13, bitIndex1)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2607,plain,
% 38.86/25.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v90(constB13, bitIndex1))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2606, 2605])).
% 38.86/25.30 tff(2608,plain,
% 38.86/25.30 (~v119(constB13)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2607, 2604, 2461])).
% 38.86/25.30 tff(2609,plain,
% 38.86/25.30 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))))),
% 38.86/25.30 inference(bind,[status(th)],[])).
% 38.86/25.30 tff(2610,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 38.86/25.30 inference(quant_intro,[status(thm)],[2609])).
% 38.86/25.30 tff(2611,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2612,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 38.86/25.30 tff(2613,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2612, 2611])).
% 38.86/25.30 tff(2614,plain,(
% 38.86/25.30 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 38.86/25.30 inference(skolemize,[status(sab)],[2613])).
% 38.86/25.30 tff(2615,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2614, 2610])).
% 38.86/25.30 tff(2616,plain,
% 38.86/25.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v120(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v120(constB13)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2617,plain,
% 38.86/25.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v120(constB13)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2618,plain,
% 38.86/25.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v120(constB13))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2617, 2616])).
% 38.86/25.30 tff(2619,plain,
% 38.86/25.30 (~v120(constB13)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2618, 2615, 2461])).
% 38.86/25.30 tff(2620,plain,
% 38.86/25.30 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))))),
% 38.86/25.30 inference(bind,[status(th)],[])).
% 38.86/25.30 tff(2621,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 38.86/25.30 inference(quant_intro,[status(thm)],[2620])).
% 38.86/25.30 tff(2622,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2623,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 38.86/25.30 tff(2624,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2623, 2622])).
% 38.86/25.30 tff(2625,plain,(
% 38.86/25.30 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 38.86/25.30 inference(skolemize,[status(sab)],[2624])).
% 38.86/25.30 tff(2626,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2625, 2621])).
% 38.86/25.30 tff(2627,plain,
% 38.86/25.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v123(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v123(constB13)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2628,plain,
% 38.86/25.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v123(constB13)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2629,plain,
% 38.86/25.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v123(constB13))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 38.86/25.30 tff(2630,plain,
% 38.86/25.30 (~v123(constB13)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2629, 2626, 2461])).
% 38.86/25.30 tff(2631,plain,
% 38.86/25.30 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))))),
% 38.86/25.30 inference(bind,[status(th)],[])).
% 38.86/25.30 tff(2632,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 38.86/25.30 inference(quant_intro,[status(thm)],[2631])).
% 38.86/25.30 tff(2633,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2634,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 38.86/25.30 tff(2635,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2634, 2633])).
% 38.86/25.30 tff(2636,plain,(
% 38.86/25.30 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 38.86/25.30 inference(skolemize,[status(sab)],[2635])).
% 38.86/25.30 tff(2637,plain,
% 38.86/25.30 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2636, 2632])).
% 38.86/25.30 tff(2638,plain,
% 38.86/25.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v124(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v124(constB13)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2639,plain,
% 38.86/25.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v124(constB13)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2640,plain,
% 38.86/25.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v124(constB13))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2639, 2638])).
% 38.86/25.30 tff(2641,plain,
% 38.86/25.30 (~v124(constB13)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2640, 2637, 2461])).
% 38.86/25.30 tff(2642,plain,
% 38.86/25.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB13, bitIndex2)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB13, bitIndex2)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2643,plain,
% 38.86/25.30 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2))) <=> ((~v130(constB13, bitIndex2)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2644,plain,
% 38.86/25.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB13, bitIndex2)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13)))),
% 38.86/25.30 inference(monotonicity,[status(thm)],[2643])).
% 38.86/25.30 tff(2645,plain,
% 38.86/25.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB13, bitIndex2)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))),
% 38.86/25.30 inference(transitivity,[status(thm)],[2644, 2642])).
% 38.86/25.30 tff(2646,plain,
% 38.86/25.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2647,plain,
% 38.86/25.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB13, bitIndex2)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13)),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2646, 2645])).
% 38.86/25.30 tff(2648,plain,
% 38.86/25.30 ((~v130(constB13, bitIndex2)) | v121(constB13)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2647, 1993, 2641, 2630, 2619, 2608, 2594])).
% 38.86/25.30 tff(2649,plain,
% 38.86/25.30 (~v130(constB13, bitIndex2)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2648, 2590])).
% 38.86/25.30 tff(2650,assumption,(v127(constB13, bitIndex2)), introduced(assumption)).
% 38.86/25.30 tff(2651,assumption,(~v130(constB13, bitIndex2)), introduced(assumption)).
% 38.86/25.30 tff(2652,plain,
% 38.86/25.30 (((~![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))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2653,plain,
% 38.86/25.30 ((v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2))) <=> ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2654,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.30 inference(monotonicity,[status(thm)],[2653])).
% 38.86/25.30 tff(2655,plain,
% 38.86/25.30 (((~![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))),
% 38.86/25.30 inference(transitivity,[status(thm)],[2654, 2652])).
% 38.86/25.30 tff(2656,plain,
% 38.86/25.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2657,plain,
% 38.86/25.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2)),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2656, 2655])).
% 38.86/25.30 tff(2658,plain,
% 38.86/25.30 ((~v127(constB13, bitIndex2)) | v26(constB13)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2657, 435, 2651])).
% 38.86/25.30 tff(2659,plain,
% 38.86/25.30 (v26(constB13)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2658, 2650])).
% 38.86/25.30 tff(2660,plain,
% 38.86/25.30 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB13)) | (~v127(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB13)) | (~v127(constB13, bitIndex2)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2661,plain,
% 38.86/25.30 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB13)) | (~v127(constB13, bitIndex2)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2662,plain,
% 38.86/25.30 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB13)) | (~v127(constB13, bitIndex2))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2661, 2660])).
% 38.86/25.30 tff(2663,plain,
% 38.86/25.30 ($false),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2662, 1452, 2650, 2659])).
% 38.86/25.30 tff(2664,plain,((~v127(constB13, bitIndex2)) | v130(constB13, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 38.86/25.30 tff(2665,plain,
% 38.86/25.30 (~v127(constB13, bitIndex2)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2664, 2649])).
% 38.86/25.30 tff(2666,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2667,plain,
% 38.86/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2668,plain,
% 38.86/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2667, 2666])).
% 38.86/25.30 tff(2669,plain,
% 38.86/25.30 (v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2668, 453, 2545])).
% 38.86/25.30 tff(2670,plain,
% 38.86/25.30 (~v129(constB14, bitIndex2)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2669, 2665])).
% 38.86/25.30 tff(2671,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2672,plain,
% 38.86/25.30 (((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2)) <=> ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2673,plain,
% 38.86/25.30 (((~![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))))),
% 38.86/25.30 inference(monotonicity,[status(thm)],[2672])).
% 38.86/25.30 tff(2674,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.30 inference(transitivity,[status(thm)],[2673, 2671])).
% 38.86/25.30 tff(2675,plain,
% 38.86/25.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2676,plain,
% 38.86/25.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2675, 2674])).
% 38.86/25.30 tff(2677,plain,
% 38.86/25.30 ((~v90(constB14, bitIndex2)) | (~v100(constB14))),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2676, 468, 2670])).
% 38.86/25.30 tff(2678,plain,
% 38.86/25.30 (~v90(constB14, bitIndex2)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2677, 2579])).
% 38.86/25.30 tff(2679,plain,
% 38.86/25.30 ((~v1(constB15)) <=> (~v1(constB15))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2680,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 38.86/25.30 tff(2681,plain,
% 38.86/25.30 (~v1(constB15)),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 38.86/25.30 tff(2682,plain,
% 38.86/25.30 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2683,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 38.86/25.30 tff(2684,plain,
% 38.86/25.30 (nextState(constB14, constB15)),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2683, 2682])).
% 38.86/25.30 tff(2685,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2686,plain,
% 38.86/25.30 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2687,plain,
% 38.86/25.30 (((~![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))))),
% 38.86/25.30 inference(monotonicity,[status(thm)],[2686])).
% 38.86/25.30 tff(2688,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.30 inference(transitivity,[status(thm)],[2687, 2685])).
% 38.86/25.30 tff(2689,plain,
% 38.86/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2690,plain,
% 38.86/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 38.86/25.30 tff(2691,plain,
% 38.86/25.30 (~v101(constB15)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2690, 133, 2684, 2681])).
% 38.86/25.30 tff(2692,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2693,plain,
% 38.86/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2694,plain,
% 38.86/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 38.86/25.30 tff(2695,plain,
% 38.86/25.30 (v101(constB15) | (~v100(constB15))),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2694, 150, 2684])).
% 38.86/25.30 tff(2696,plain,
% 38.86/25.30 (~v100(constB15)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2695, 2691])).
% 38.86/25.30 tff(2697,plain,
% 38.86/25.30 (((~![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)))) <=> ((~![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)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2698,plain,
% 38.86/25.30 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))) <=> (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2699,plain,
% 38.86/25.30 (((~![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))))),
% 38.86/25.30 inference(monotonicity,[status(thm)],[2698])).
% 38.86/25.30 tff(2700,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.30 inference(transitivity,[status(thm)],[2699, 2697])).
% 38.86/25.30 tff(2701,plain,
% 38.86/25.30 ((~![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)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2702,plain,
% 38.86/25.30 ((~![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))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 38.86/25.30 tff(2703,plain,
% 38.86/25.30 (v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2702, 165, 2684])).
% 38.86/25.30 tff(2704,plain,
% 38.86/25.30 (v90(constB14, bitIndex2) | (~v90(constB15, bitIndex2))),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2703, 2696])).
% 38.86/25.30 tff(2705,plain,
% 38.86/25.30 (~v90(constB15, bitIndex2)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2704, 2678])).
% 38.86/25.30 tff(2706,plain,
% 38.86/25.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB13, bitIndex1)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB13, bitIndex1)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2707,plain,
% 38.86/25.30 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1))) <=> ((~v130(constB13, bitIndex1)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2708,plain,
% 38.86/25.30 (((~![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)))) | ((~v130(constB13, bitIndex1)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13)))),
% 38.86/25.30 inference(monotonicity,[status(thm)],[2707])).
% 38.86/25.30 tff(2709,plain,
% 38.86/25.30 (((~![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)))) | (~v130(constB13, bitIndex1)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))),
% 38.86/25.30 inference(transitivity,[status(thm)],[2708, 2706])).
% 38.86/25.30 tff(2710,plain,
% 38.86/25.30 ((~![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)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2711,plain,
% 38.86/25.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB13, bitIndex1)) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13)),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2710, 2709])).
% 38.86/25.30 tff(2712,plain,
% 38.86/25.30 ((~v130(constB13, bitIndex1)) | v121(constB13)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2711, 1562, 2641, 2630, 2619, 2608, 2594])).
% 38.86/25.30 tff(2713,plain,
% 38.86/25.30 (~v130(constB13, bitIndex1)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2712, 2590])).
% 38.86/25.30 tff(2714,plain,
% 38.86/25.30 (((~![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))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2715,plain,
% 38.86/25.30 ((v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1))) <=> ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2716,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.30 inference(monotonicity,[status(thm)],[2715])).
% 38.86/25.30 tff(2717,plain,
% 38.86/25.30 (((~![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))),
% 38.86/25.30 inference(transitivity,[status(thm)],[2716, 2714])).
% 38.86/25.30 tff(2718,plain,
% 38.86/25.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2719,plain,
% 38.86/25.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1)),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2718, 2717])).
% 38.86/25.30 tff(2720,plain,
% 38.86/25.30 ((~v127(constB13, bitIndex1)) | v26(constB13)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2719, 527, 2713])).
% 38.86/25.30 tff(2721,plain,
% 38.86/25.30 (~v127(constB13, bitIndex1)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2720, 101])).
% 38.86/25.30 tff(2722,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.30 inference(rewrite,[status(thm)],[])).
% 38.86/25.30 tff(2723,plain,
% 38.86/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))),
% 38.86/25.30 inference(quant_inst,[status(thm)],[])).
% 38.86/25.30 tff(2724,plain,
% 38.86/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 38.86/25.30 inference(modus_ponens,[status(thm)],[2723, 2722])).
% 38.86/25.30 tff(2725,plain,
% 38.86/25.30 (v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2724, 545, 2545])).
% 38.86/25.30 tff(2726,plain,
% 38.86/25.30 (~v129(constB14, bitIndex1)),
% 38.86/25.30 inference(unit_resolution,[status(thm)],[2725, 2721])).
% 38.86/25.30 tff(2727,plain,
% 38.86/25.30 (((~![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)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2728,plain,
% 38.86/25.31 (((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1)) <=> ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2729,plain,
% 38.86/25.31 (((~![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))))),
% 38.86/25.31 inference(monotonicity,[status(thm)],[2728])).
% 38.86/25.31 tff(2730,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.31 inference(transitivity,[status(thm)],[2729, 2727])).
% 38.86/25.31 tff(2731,plain,
% 38.86/25.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2732,plain,
% 38.86/25.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2731, 2730])).
% 38.86/25.31 tff(2733,plain,
% 38.86/25.31 ((~v90(constB14, bitIndex1)) | (~v100(constB14))),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2732, 560, 2726])).
% 38.86/25.31 tff(2734,plain,
% 38.86/25.31 (~v90(constB14, bitIndex1)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2733, 2579])).
% 38.86/25.31 tff(2735,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2736,plain,
% 38.86/25.31 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))) <=> (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2737,plain,
% 38.86/25.31 (((~![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))))),
% 38.86/25.31 inference(monotonicity,[status(thm)],[2736])).
% 38.86/25.31 tff(2738,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.31 inference(transitivity,[status(thm)],[2737, 2735])).
% 38.86/25.31 tff(2739,plain,
% 38.86/25.31 ((~![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)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2740,plain,
% 38.86/25.31 ((~![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))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2739, 2738])).
% 38.86/25.31 tff(2741,plain,
% 38.86/25.31 (v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2740, 186, 2684])).
% 38.86/25.31 tff(2742,plain,
% 38.86/25.31 (v90(constB14, bitIndex1) | (~v90(constB15, bitIndex1))),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2741, 2696])).
% 38.86/25.31 tff(2743,plain,
% 38.86/25.31 (~v90(constB15, bitIndex1)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2742, 2734])).
% 38.86/25.31 tff(2744,plain,
% 38.86/25.31 (^[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)))),
% 38.86/25.31 inference(bind,[status(th)],[])).
% 38.86/25.31 tff(2745,plain,
% 38.86/25.31 (![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))),
% 38.86/25.31 inference(quant_intro,[status(thm)],[2744])).
% 38.86/25.31 tff(2746,plain,
% 38.86/25.31 (![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))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2747,plain,
% 38.86/25.31 (^[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))))),
% 38.86/25.31 inference(bind,[status(th)],[])).
% 38.86/25.31 tff(2748,plain,
% 38.86/25.31 (![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))),
% 38.86/25.31 inference(quant_intro,[status(thm)],[2747])).
% 38.86/25.31 tff(2749,axiom,(![VarCurr: $i] : ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 38.86/25.31 tff(2750,plain,
% 38.86/25.31 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2749, 2748])).
% 38.86/25.31 tff(2751,plain,
% 38.86/25.31 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2750, 2746])).
% 38.86/25.31 tff(2752,plain,(
% 38.86/25.31 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 38.86/25.31 inference(skolemize,[status(sab)],[2751])).
% 38.86/25.31 tff(2753,plain,
% 38.86/25.31 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2752, 2745])).
% 38.86/25.31 tff(2754,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB13, bitIndex0) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB13, bitIndex0) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2755,plain,
% 38.86/25.31 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0)) <=> (v130(constB13, bitIndex0) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2756,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB13, bitIndex0) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13)))),
% 38.86/25.31 inference(monotonicity,[status(thm)],[2755])).
% 38.86/25.31 tff(2757,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB13, bitIndex0) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13))),
% 38.86/25.31 inference(transitivity,[status(thm)],[2756, 2754])).
% 38.86/25.31 tff(2758,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2759,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB13, bitIndex0) | v123(constB13) | v124(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v122(constB13)),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2758, 2757])).
% 38.86/25.31 tff(2760,plain,
% 38.86/25.31 (v130(constB13, bitIndex0) | v121(constB13)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2759, 2753, 2641, 2630, 2619, 2608, 2594])).
% 38.86/25.31 tff(2761,plain,
% 38.86/25.31 (v130(constB13, bitIndex0)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2760, 2590])).
% 38.86/25.31 tff(2762,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2763,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2764,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0)),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2763, 2762])).
% 38.86/25.31 tff(2765,plain,
% 38.86/25.31 (v26(constB13) | v127(constB13, bitIndex0)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2764, 601, 2761])).
% 38.86/25.31 tff(2766,plain,
% 38.86/25.31 (v127(constB13, bitIndex0)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2765, 101])).
% 38.86/25.31 tff(2767,plain,
% 38.86/25.31 (((~![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))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2768,plain,
% 38.86/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2769,plain,
% 38.86/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0)),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 38.86/25.31 tff(2770,plain,
% 38.86/25.31 ((~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2769, 616, 2545])).
% 38.86/25.31 tff(2771,plain,
% 38.86/25.31 (v129(constB14, bitIndex0)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2770, 2766])).
% 38.86/25.31 tff(2772,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2773,plain,
% 38.86/25.31 ((v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2774,plain,
% 38.86/25.31 (((~![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))))),
% 38.86/25.31 inference(monotonicity,[status(thm)],[2773])).
% 38.86/25.31 tff(2775,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.31 inference(transitivity,[status(thm)],[2774, 2772])).
% 38.86/25.31 tff(2776,plain,
% 38.86/25.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2777,plain,
% 38.86/25.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2776, 2775])).
% 38.86/25.31 tff(2778,plain,
% 38.86/25.31 (v90(constB14, bitIndex0) | (~v100(constB14))),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2777, 631, 2771])).
% 38.86/25.31 tff(2779,plain,
% 38.86/25.31 (v90(constB14, bitIndex0)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2778, 2579])).
% 38.86/25.31 tff(2780,plain,
% 38.86/25.31 (((~![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))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2781,plain,
% 38.86/25.31 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2782,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.31 inference(monotonicity,[status(thm)],[2781])).
% 38.86/25.31 tff(2783,plain,
% 38.86/25.31 (((~![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))),
% 38.86/25.31 inference(transitivity,[status(thm)],[2782, 2780])).
% 38.86/25.31 tff(2784,plain,
% 38.86/25.31 ((~![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))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2785,plain,
% 38.86/25.31 ((~![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)),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2784, 2783])).
% 38.86/25.31 tff(2786,plain,
% 38.86/25.31 ((~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2785, 649, 2684])).
% 38.86/25.31 tff(2787,plain,
% 38.86/25.31 ((~v90(constB14, bitIndex0)) | v90(constB15, bitIndex0)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2786, 2696])).
% 38.86/25.31 tff(2788,plain,
% 38.86/25.31 (v90(constB15, bitIndex0)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2787, 2779])).
% 38.86/25.31 tff(2789,plain,
% 38.86/25.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2790,plain,
% 38.86/25.31 (((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)) <=> ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2791,plain,
% 38.86/25.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15)))),
% 38.86/25.31 inference(monotonicity,[status(thm)],[2790])).
% 38.86/25.31 tff(2792,plain,
% 38.86/25.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 38.86/25.31 inference(transitivity,[status(thm)],[2791, 2789])).
% 38.86/25.31 tff(2793,plain,
% 38.86/25.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2794,plain,
% 38.86/25.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15)),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2793, 2792])).
% 38.86/25.31 tff(2795,plain,
% 38.86/25.31 (v120(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2794, 668, 2788, 2743, 2705])).
% 38.86/25.31 tff(2796,plain,
% 38.86/25.31 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB15)) | (~v130(constB15, bitIndex2)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2797,plain,
% 38.86/25.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex2)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2798,plain,
% 38.86/25.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB15)) | (~v130(constB15, bitIndex2))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2797, 2796])).
% 38.86/25.31 tff(2799,plain,
% 38.86/25.31 (~v130(constB15, bitIndex2)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2798, 685, 2795])).
% 38.86/25.31 tff(2800,plain,
% 38.86/25.31 (((~![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))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2801,plain,
% 38.86/25.31 ((v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2))) <=> ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2802,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.31 inference(monotonicity,[status(thm)],[2801])).
% 38.86/25.31 tff(2803,plain,
% 38.86/25.31 (((~![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))),
% 38.86/25.31 inference(transitivity,[status(thm)],[2802, 2800])).
% 38.86/25.31 tff(2804,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2805,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2804, 2803])).
% 38.86/25.31 tff(2806,plain,
% 38.86/25.31 ((~v127(constB15, bitIndex2)) | v26(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2805, 435, 2799])).
% 38.86/25.31 tff(2807,plain,
% 38.86/25.31 (~v127(constB15, bitIndex2)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2806, 97])).
% 38.86/25.31 tff(2808,plain,
% 38.86/25.31 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2809,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 38.86/25.31 tff(2810,plain,
% 38.86/25.31 (nextState(constB15, constB16)),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2809, 2808])).
% 38.86/25.31 tff(2811,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2812,plain,
% 38.86/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2813,plain,
% 38.86/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2812, 2811])).
% 38.86/25.31 tff(2814,plain,
% 38.86/25.31 (v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2813, 453, 2810])).
% 38.86/25.31 tff(2815,plain,
% 38.86/25.31 (~v129(constB16, bitIndex2)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2814, 2807])).
% 38.86/25.31 tff(2816,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB15) | (~v120(constB15)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB15) | (~v120(constB15)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2817,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB15) | (~v120(constB15)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2818,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB15) | (~v120(constB15))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2817, 2816])).
% 38.86/25.31 tff(2819,plain,
% 38.86/25.31 (v118(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2818, 778, 2795])).
% 38.86/25.31 tff(2820,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB15) | (~v118(constB15)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB15) | (~v118(constB15)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2821,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB15) | (~v118(constB15)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2822,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB15) | (~v118(constB15))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 38.86/25.31 tff(2823,plain,
% 38.86/25.31 (v117(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2822, 250, 2819])).
% 38.86/25.31 tff(2824,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB15) | (~v117(constB15)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB15) | (~v117(constB15)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2825,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB15) | (~v117(constB15)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2826,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB15) | (~v117(constB15))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2825, 2824])).
% 38.86/25.31 tff(2827,plain,
% 38.86/25.31 (v116(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2826, 261, 2823])).
% 38.86/25.31 tff(2828,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB15) | (~v116(constB15)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB15) | (~v116(constB15)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2829,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB15) | (~v116(constB15)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2830,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB15) | (~v116(constB15))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2829, 2828])).
% 38.86/25.31 tff(2831,plain,
% 38.86/25.31 (v115(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2830, 272, 2827])).
% 38.86/25.31 tff(2832,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB15) | (~v115(constB15)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB15) | (~v115(constB15)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2833,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB15) | (~v115(constB15)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2834,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB15) | (~v115(constB15))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2833, 2832])).
% 38.86/25.31 tff(2835,plain,
% 38.86/25.31 (v114(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2834, 283, 2831])).
% 38.86/25.31 tff(2836,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB15) | (~v114(constB15)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB15) | (~v114(constB15)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2837,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB15) | (~v114(constB15)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2838,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB15) | (~v114(constB15))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2837, 2836])).
% 38.86/25.31 tff(2839,plain,
% 38.86/25.31 (v113(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2838, 294, 2835])).
% 38.86/25.31 tff(2840,assumption,(~v108(constB15)), introduced(assumption)).
% 38.86/25.31 tff(2841,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2842,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2843,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 38.86/25.31 tff(2844,plain,
% 38.86/25.31 (~v112(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2843, 320, 2840])).
% 38.86/25.31 tff(2845,plain,
% 38.86/25.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB15) | (~v26(constB15)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB15) | (~v26(constB15)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2846,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB15) | (~v26(constB15)))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2847,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB15) | (~v26(constB15))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2846, 2845])).
% 38.86/25.31 tff(2848,plain,
% 38.86/25.31 (~v26(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2847, 766, 2840])).
% 38.86/25.31 tff(2849,assumption,(v113(constB15)), introduced(assumption)).
% 38.86/25.31 tff(2850,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2851,plain,
% 38.86/25.31 ((v26(constB15) | (~v113(constB15)) | v112(constB15)) <=> (v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 38.86/25.31 inference(rewrite,[status(thm)],[])).
% 38.86/25.31 tff(2852,plain,
% 38.86/25.31 (((~![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))))),
% 38.86/25.31 inference(monotonicity,[status(thm)],[2851])).
% 38.86/25.31 tff(2853,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.31 inference(transitivity,[status(thm)],[2852, 2850])).
% 38.86/25.31 tff(2854,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 38.86/25.31 inference(quant_inst,[status(thm)],[])).
% 38.86/25.31 tff(2855,plain,
% 38.86/25.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15))),
% 38.86/25.31 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 38.86/25.31 tff(2856,plain,
% 38.86/25.31 (v26(constB15) | v112(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2855, 308, 2849])).
% 38.86/25.31 tff(2857,plain,
% 38.86/25.31 ($false),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2856, 2848, 2844])).
% 38.86/25.31 tff(2858,plain,(v108(constB15) | (~v113(constB15))), inference(lemma,lemma(discharge,[]))).
% 38.86/25.31 tff(2859,plain,
% 38.86/25.31 (v108(constB15)),
% 38.86/25.31 inference(unit_resolution,[status(thm)],[2858, 2839])).
% 38.86/25.31 tff(2860,plain,
% 38.86/25.31 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2861,plain,
% 38.86/25.32 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2862,plain,
% 38.86/25.32 (((~![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))))),
% 38.86/25.32 inference(monotonicity,[status(thm)],[2861])).
% 38.86/25.32 tff(2863,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(transitivity,[status(thm)],[2862, 2860])).
% 38.86/25.32 tff(2864,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2865,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2864, 2863])).
% 38.86/25.32 tff(2866,plain,
% 38.86/25.32 (v110(constB16) | (~v108(constB15))),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2865, 337, 2810])).
% 38.86/25.32 tff(2867,plain,
% 38.86/25.32 (v110(constB16)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2866, 2859])).
% 38.86/25.32 tff(2868,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2869,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2870,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2869, 2868])).
% 38.86/25.32 tff(2871,plain,
% 38.86/25.32 (~v104(constB16)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2870, 355, 2810, 2681])).
% 38.86/25.32 tff(2872,plain,
% 38.86/25.32 (((~![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))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2873,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2874,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2873, 2872])).
% 38.86/25.32 tff(2875,plain,
% 38.86/25.32 (v102(constB16) | v104(constB16)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2874, 369, 2810])).
% 38.86/25.32 tff(2876,plain,
% 38.86/25.32 (v102(constB16)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2875, 2871])).
% 38.86/25.32 tff(2877,plain,
% 38.86/25.32 (v1(constB16) <=> v1(constB16)),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2878,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 38.86/25.32 tff(2879,plain,
% 38.86/25.32 (v1(constB16)),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2878, 2877])).
% 38.86/25.32 tff(2880,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2881,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2882,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 38.86/25.32 tff(2883,plain,
% 38.86/25.32 (v101(constB16) | (~v102(constB16))),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2882, 387, 2810, 2879])).
% 38.86/25.32 tff(2884,plain,
% 38.86/25.32 (v101(constB16)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2883, 2876])).
% 38.86/25.32 tff(2885,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2886,plain,
% 38.86/25.32 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2887,plain,
% 38.86/25.32 (((~![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))))),
% 38.86/25.32 inference(monotonicity,[status(thm)],[2886])).
% 38.86/25.32 tff(2888,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(transitivity,[status(thm)],[2887, 2885])).
% 38.86/25.32 tff(2889,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2890,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2889, 2888])).
% 38.86/25.32 tff(2891,plain,
% 38.86/25.32 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2890, 402, 2810])).
% 38.86/25.32 tff(2892,plain,
% 38.86/25.32 (v100(constB16) | (~v110(constB16))),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2891, 2884])).
% 38.86/25.32 tff(2893,plain,
% 38.86/25.32 (v100(constB16)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2892, 2867])).
% 38.86/25.32 tff(2894,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2895,plain,
% 38.86/25.32 (((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2)) <=> ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2896,plain,
% 38.86/25.32 (((~![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))))),
% 38.86/25.32 inference(monotonicity,[status(thm)],[2895])).
% 38.86/25.32 tff(2897,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(transitivity,[status(thm)],[2896, 2894])).
% 38.86/25.32 tff(2898,plain,
% 38.86/25.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2899,plain,
% 38.86/25.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2898, 2897])).
% 38.86/25.32 tff(2900,plain,
% 38.86/25.32 ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2899, 468, 2893])).
% 38.86/25.32 tff(2901,plain,
% 38.86/25.32 (~v90(constB16, bitIndex2)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2900, 2815])).
% 38.86/25.32 tff(2902,plain,
% 38.86/25.32 ((~v1(constB17)) <=> (~v1(constB17))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2903,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 38.86/25.32 tff(2904,plain,
% 38.86/25.32 (~v1(constB17)),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 38.86/25.32 tff(2905,plain,
% 38.86/25.32 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2906,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 38.86/25.32 tff(2907,plain,
% 38.86/25.32 (nextState(constB16, constB17)),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 38.86/25.32 tff(2908,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2909,plain,
% 38.86/25.32 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2910,plain,
% 38.86/25.32 (((~![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))))),
% 38.86/25.32 inference(monotonicity,[status(thm)],[2909])).
% 38.86/25.32 tff(2911,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(transitivity,[status(thm)],[2910, 2908])).
% 38.86/25.32 tff(2912,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2913,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2912, 2911])).
% 38.86/25.32 tff(2914,plain,
% 38.86/25.32 (~v101(constB17)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2913, 133, 2907, 2904])).
% 38.86/25.32 tff(2915,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2916,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2917,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2916, 2915])).
% 38.86/25.32 tff(2918,plain,
% 38.86/25.32 (v101(constB17) | (~v100(constB17))),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2917, 150, 2907])).
% 38.86/25.32 tff(2919,plain,
% 38.86/25.32 (~v100(constB17)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2918, 2914])).
% 38.86/25.32 tff(2920,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2921,plain,
% 38.86/25.32 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))) <=> (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2922,plain,
% 38.86/25.32 (((~![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))))),
% 38.86/25.32 inference(monotonicity,[status(thm)],[2921])).
% 38.86/25.32 tff(2923,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(transitivity,[status(thm)],[2922, 2920])).
% 38.86/25.32 tff(2924,plain,
% 38.86/25.32 ((~![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)))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2925,plain,
% 38.86/25.32 ((~![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))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2924, 2923])).
% 38.86/25.32 tff(2926,plain,
% 38.86/25.32 (v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2925, 165, 2907])).
% 38.86/25.32 tff(2927,plain,
% 38.86/25.32 (v90(constB16, bitIndex2) | (~v90(constB17, bitIndex2))),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2926, 2919])).
% 38.86/25.32 tff(2928,plain,
% 38.86/25.32 (~v90(constB17, bitIndex2)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2927, 2901])).
% 38.86/25.32 tff(2929,plain,
% 38.86/25.32 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB15)) | v130(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB15)) | v130(constB15, bitIndex1))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2930,plain,
% 38.86/25.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB15)) | v130(constB15, bitIndex1))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2931,plain,
% 38.86/25.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB15)) | v130(constB15, bitIndex1)),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2930, 2929])).
% 38.86/25.32 tff(2932,plain,
% 38.86/25.32 (v130(constB15, bitIndex1)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2931, 868, 2795])).
% 38.86/25.32 tff(2933,plain,
% 38.86/25.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2934,plain,
% 38.86/25.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2935,plain,
% 38.86/25.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1)),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2934, 2933])).
% 38.86/25.32 tff(2936,plain,
% 38.86/25.32 (v26(constB15) | v127(constB15, bitIndex1)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2935, 882, 2932])).
% 38.86/25.32 tff(2937,plain,
% 38.86/25.32 (v127(constB15, bitIndex1)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2936, 97])).
% 38.86/25.32 tff(2938,plain,
% 38.86/25.32 (((~![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))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2939,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2940,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1)),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2939, 2938])).
% 38.86/25.32 tff(2941,plain,
% 38.86/25.32 ((~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2940, 897, 2810])).
% 38.86/25.32 tff(2942,plain,
% 38.86/25.32 (v129(constB16, bitIndex1)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2941, 2937])).
% 38.86/25.32 tff(2943,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2944,plain,
% 38.86/25.32 ((v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2945,plain,
% 38.86/25.32 (((~![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))))),
% 38.86/25.32 inference(monotonicity,[status(thm)],[2944])).
% 38.86/25.32 tff(2946,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(transitivity,[status(thm)],[2945, 2943])).
% 38.86/25.32 tff(2947,plain,
% 38.86/25.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2948,plain,
% 38.86/25.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2947, 2946])).
% 38.86/25.32 tff(2949,plain,
% 38.86/25.32 (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1))),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2948, 912, 2893])).
% 38.86/25.32 tff(2950,plain,
% 38.86/25.32 (v90(constB16, bitIndex1)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2949, 2942])).
% 38.86/25.32 tff(2951,plain,
% 38.86/25.32 (((~![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))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2952,plain,
% 38.86/25.32 (((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2953,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(monotonicity,[status(thm)],[2952])).
% 38.86/25.32 tff(2954,plain,
% 38.86/25.32 (((~![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))),
% 38.86/25.32 inference(transitivity,[status(thm)],[2953, 2951])).
% 38.86/25.32 tff(2955,plain,
% 38.86/25.32 ((~![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))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2956,plain,
% 38.86/25.32 ((~![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)),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2955, 2954])).
% 38.86/25.32 tff(2957,plain,
% 38.86/25.32 ((~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2956, 1049, 2907])).
% 38.86/25.32 tff(2958,plain,
% 38.86/25.32 ((~v90(constB16, bitIndex1)) | v90(constB17, bitIndex1)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2957, 2919])).
% 38.86/25.32 tff(2959,plain,
% 38.86/25.32 (v90(constB17, bitIndex1)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2958, 2950])).
% 38.86/25.32 tff(2960,plain,
% 38.86/25.32 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2961,plain,
% 38.86/25.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2962,plain,
% 38.86/25.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2961, 2960])).
% 38.86/25.32 tff(2963,plain,
% 38.86/25.32 (~v130(constB15, bitIndex0)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2962, 930, 2795])).
% 38.86/25.32 tff(2964,plain,
% 38.86/25.32 (((~![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))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2965,plain,
% 38.86/25.32 ((v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0))) <=> ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2966,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(monotonicity,[status(thm)],[2965])).
% 38.86/25.32 tff(2967,plain,
% 38.86/25.32 (((~![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))),
% 38.86/25.32 inference(transitivity,[status(thm)],[2966, 2964])).
% 38.86/25.32 tff(2968,plain,
% 38.86/25.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2969,plain,
% 38.86/25.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0)),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2968, 2967])).
% 38.86/25.32 tff(2970,plain,
% 38.86/25.32 ((~v127(constB15, bitIndex0)) | v26(constB15)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2969, 944, 2963])).
% 38.86/25.32 tff(2971,plain,
% 38.86/25.32 (~v127(constB15, bitIndex0)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2970, 97])).
% 38.86/25.32 tff(2972,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2973,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2974,plain,
% 38.86/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 38.86/25.32 tff(2975,plain,
% 38.86/25.32 (v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2974, 962, 2810])).
% 38.86/25.32 tff(2976,plain,
% 38.86/25.32 (~v129(constB16, bitIndex0)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2975, 2971])).
% 38.86/25.32 tff(2977,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2978,plain,
% 38.86/25.32 (((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0)) <=> ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 38.86/25.32 inference(rewrite,[status(thm)],[])).
% 38.86/25.32 tff(2979,plain,
% 38.86/25.32 (((~![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))))),
% 38.86/25.32 inference(monotonicity,[status(thm)],[2978])).
% 38.86/25.32 tff(2980,plain,
% 38.86/25.32 (((~![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)))),
% 38.86/25.32 inference(transitivity,[status(thm)],[2979, 2977])).
% 38.86/25.32 tff(2981,plain,
% 38.86/25.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))),
% 38.86/25.32 inference(quant_inst,[status(thm)],[])).
% 38.86/25.32 tff(2982,plain,
% 38.86/25.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16))),
% 38.86/25.32 inference(modus_ponens,[status(thm)],[2981, 2980])).
% 38.86/25.32 tff(2983,plain,
% 38.86/25.32 ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0)),
% 38.86/25.32 inference(unit_resolution,[status(thm)],[2982, 977, 2893])).
% 38.86/25.32 tff(2984,plain,
% 38.86/25.32 (~v90(constB16, bitIndex0)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[2983, 2976])).
% 38.86/25.33 tff(2985,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(2986,plain,
% 38.86/25.33 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))) <=> (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(2987,plain,
% 38.86/25.33 (((~![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))))),
% 38.86/25.33 inference(monotonicity,[status(thm)],[2986])).
% 38.86/25.33 tff(2988,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(transitivity,[status(thm)],[2987, 2985])).
% 38.86/25.33 tff(2989,plain,
% 38.86/25.33 ((~![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)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(2990,plain,
% 38.86/25.33 ((~![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))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[2989, 2988])).
% 38.86/25.33 tff(2991,plain,
% 38.86/25.33 (v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[2990, 207, 2907])).
% 38.86/25.33 tff(2992,plain,
% 38.86/25.33 (v90(constB16, bitIndex0) | (~v90(constB17, bitIndex0))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[2991, 2919])).
% 38.86/25.33 tff(2993,plain,
% 38.86/25.33 (~v90(constB17, bitIndex0)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[2992, 2984])).
% 38.86/25.33 tff(2994,plain,
% 38.86/25.33 (((~![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))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(2995,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(2996,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[2995, 2994])).
% 38.86/25.33 tff(2997,plain,
% 38.86/25.33 (v121(constB17)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[2996, 996, 2993, 2959, 2928])).
% 38.86/25.33 tff(2998,plain,
% 38.86/25.33 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB17) | (~v121(constB17)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB17) | (~v121(constB17)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(2999,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB17) | (~v121(constB17)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3000,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB17) | (~v121(constB17))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[2999, 2998])).
% 38.86/25.33 tff(3001,plain,
% 38.86/25.33 (v117(constB17)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3000, 1130, 2997])).
% 38.86/25.33 tff(3002,plain,
% 38.86/25.33 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3003,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3004,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3003, 3002])).
% 38.86/25.33 tff(3005,plain,
% 38.86/25.33 (v116(constB17)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3004, 261, 3001])).
% 38.86/25.33 tff(3006,plain,
% 38.86/25.33 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3007,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3008,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 38.86/25.33 tff(3009,plain,
% 38.86/25.33 (v115(constB17)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3008, 272, 3005])).
% 38.86/25.33 tff(3010,plain,
% 38.86/25.33 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3011,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3012,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3011, 3010])).
% 38.86/25.33 tff(3013,plain,
% 38.86/25.33 (v114(constB17)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3012, 283, 3009])).
% 38.86/25.33 tff(3014,plain,
% 38.86/25.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3015,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3016,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 38.86/25.33 tff(3017,plain,
% 38.86/25.33 (v113(constB17)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3016, 294, 3013])).
% 38.86/25.33 tff(3018,plain,
% 38.86/25.33 (((~![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))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3019,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3020,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3019, 3018])).
% 38.86/25.33 tff(3021,plain,
% 38.86/25.33 (v26(constB17) | v112(constB17)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3020, 308, 3017])).
% 38.86/25.33 tff(3022,plain,
% 38.86/25.33 (v112(constB17)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3021, 93])).
% 38.86/25.33 tff(3023,plain,
% 38.86/25.33 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3024,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3025,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3024, 3023])).
% 38.86/25.33 tff(3026,plain,
% 38.86/25.33 (v108(constB17)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3025, 320, 3022])).
% 38.86/25.33 tff(3027,plain,
% 38.86/25.33 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3028,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 38.86/25.33 tff(3029,plain,
% 38.86/25.33 (nextState(constB17, constB18)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3028, 3027])).
% 38.86/25.33 tff(3030,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3031,plain,
% 38.86/25.33 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3032,plain,
% 38.86/25.33 (((~![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))))),
% 38.86/25.33 inference(monotonicity,[status(thm)],[3031])).
% 38.86/25.33 tff(3033,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(transitivity,[status(thm)],[3032, 3030])).
% 38.86/25.33 tff(3034,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3035,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3034, 3033])).
% 38.86/25.33 tff(3036,plain,
% 38.86/25.33 (v110(constB18) | (~v108(constB17))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3035, 337, 3029])).
% 38.86/25.33 tff(3037,plain,
% 38.86/25.33 (v110(constB18)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3036, 3026])).
% 38.86/25.33 tff(3038,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3039,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3040,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3039, 3038])).
% 38.86/25.33 tff(3041,plain,
% 38.86/25.33 (~v104(constB18)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3040, 355, 3029, 2904])).
% 38.86/25.33 tff(3042,plain,
% 38.86/25.33 (((~![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))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3043,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3044,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3043, 3042])).
% 38.86/25.33 tff(3045,plain,
% 38.86/25.33 (v102(constB18) | v104(constB18)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3044, 369, 3029])).
% 38.86/25.33 tff(3046,plain,
% 38.86/25.33 (v102(constB18)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3045, 3041])).
% 38.86/25.33 tff(3047,plain,
% 38.86/25.33 (v1(constB18) <=> v1(constB18)),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3048,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 38.86/25.33 tff(3049,plain,
% 38.86/25.33 (v1(constB18)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3048, 3047])).
% 38.86/25.33 tff(3050,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3051,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3052,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3051, 3050])).
% 38.86/25.33 tff(3053,plain,
% 38.86/25.33 (v101(constB18) | (~v102(constB18))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3052, 387, 3029, 3049])).
% 38.86/25.33 tff(3054,plain,
% 38.86/25.33 (v101(constB18)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3053, 3046])).
% 38.86/25.33 tff(3055,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3056,plain,
% 38.86/25.33 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3057,plain,
% 38.86/25.33 (((~![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))))),
% 38.86/25.33 inference(monotonicity,[status(thm)],[3056])).
% 38.86/25.33 tff(3058,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(transitivity,[status(thm)],[3057, 3055])).
% 38.86/25.33 tff(3059,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3060,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3059, 3058])).
% 38.86/25.33 tff(3061,plain,
% 38.86/25.33 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3060, 402, 3029])).
% 38.86/25.33 tff(3062,plain,
% 38.86/25.33 (v100(constB18) | (~v110(constB18))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3061, 3054])).
% 38.86/25.33 tff(3063,plain,
% 38.86/25.33 (v100(constB18)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3062, 3037])).
% 38.86/25.33 tff(3064,plain,
% 38.86/25.33 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB17)) | (~v130(constB17, bitIndex2)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3065,plain,
% 38.86/25.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB17)) | (~v130(constB17, bitIndex2)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3066,plain,
% 38.86/25.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB17)) | (~v130(constB17, bitIndex2))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3065, 3064])).
% 38.86/25.33 tff(3067,plain,
% 38.86/25.33 (~v130(constB17, bitIndex2)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3066, 1102, 2997])).
% 38.86/25.33 tff(3068,plain,
% 38.86/25.33 (((~![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))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3069,plain,
% 38.86/25.33 ((v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2))) <=> ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3070,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(monotonicity,[status(thm)],[3069])).
% 38.86/25.33 tff(3071,plain,
% 38.86/25.33 (((~![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))),
% 38.86/25.33 inference(transitivity,[status(thm)],[3070, 3068])).
% 38.86/25.33 tff(3072,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3073,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3072, 3071])).
% 38.86/25.33 tff(3074,plain,
% 38.86/25.33 ((~v127(constB17, bitIndex2)) | v26(constB17)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3073, 435, 3067])).
% 38.86/25.33 tff(3075,plain,
% 38.86/25.33 (~v127(constB17, bitIndex2)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3074, 93])).
% 38.86/25.33 tff(3076,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3077,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3078,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3077, 3076])).
% 38.86/25.33 tff(3079,plain,
% 38.86/25.33 (v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3078, 453, 3029])).
% 38.86/25.33 tff(3080,plain,
% 38.86/25.33 (~v129(constB18, bitIndex2)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3079, 3075])).
% 38.86/25.33 tff(3081,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3082,plain,
% 38.86/25.33 (((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2)) <=> ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3083,plain,
% 38.86/25.33 (((~![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))))),
% 38.86/25.33 inference(monotonicity,[status(thm)],[3082])).
% 38.86/25.33 tff(3084,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(transitivity,[status(thm)],[3083, 3081])).
% 38.86/25.33 tff(3085,plain,
% 38.86/25.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3086,plain,
% 38.86/25.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 38.86/25.33 tff(3087,plain,
% 38.86/25.33 ((~v90(constB18, bitIndex2)) | (~v100(constB18))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3086, 468, 3080])).
% 38.86/25.33 tff(3088,plain,
% 38.86/25.33 (~v90(constB18, bitIndex2)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3087, 3063])).
% 38.86/25.33 tff(3089,plain,
% 38.86/25.33 ((~v1(constB19)) <=> (~v1(constB19))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3090,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 38.86/25.33 tff(3091,plain,
% 38.86/25.33 (~v1(constB19)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3090, 3089])).
% 38.86/25.33 tff(3092,plain,
% 38.86/25.33 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3093,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 38.86/25.33 tff(3094,plain,
% 38.86/25.33 (nextState(constB18, constB19)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3093, 3092])).
% 38.86/25.33 tff(3095,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3096,plain,
% 38.86/25.33 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3097,plain,
% 38.86/25.33 (((~![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))))),
% 38.86/25.33 inference(monotonicity,[status(thm)],[3096])).
% 38.86/25.33 tff(3098,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(transitivity,[status(thm)],[3097, 3095])).
% 38.86/25.33 tff(3099,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3100,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3099, 3098])).
% 38.86/25.33 tff(3101,plain,
% 38.86/25.33 (~v101(constB19)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3100, 133, 3094, 3091])).
% 38.86/25.33 tff(3102,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3103,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3104,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3103, 3102])).
% 38.86/25.33 tff(3105,plain,
% 38.86/25.33 (v101(constB19) | (~v100(constB19))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3104, 150, 3094])).
% 38.86/25.33 tff(3106,plain,
% 38.86/25.33 (~v100(constB19)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3105, 3101])).
% 38.86/25.33 tff(3107,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3108,plain,
% 38.86/25.33 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))) <=> (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3109,plain,
% 38.86/25.33 (((~![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))))),
% 38.86/25.33 inference(monotonicity,[status(thm)],[3108])).
% 38.86/25.33 tff(3110,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(transitivity,[status(thm)],[3109, 3107])).
% 38.86/25.33 tff(3111,plain,
% 38.86/25.33 ((~![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)))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3112,plain,
% 38.86/25.33 ((~![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))),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3111, 3110])).
% 38.86/25.33 tff(3113,plain,
% 38.86/25.33 (v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3112, 165, 3094])).
% 38.86/25.33 tff(3114,plain,
% 38.86/25.33 (v90(constB18, bitIndex2) | (~v90(constB19, bitIndex2))),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3113, 3106])).
% 38.86/25.33 tff(3115,plain,
% 38.86/25.33 (~v90(constB19, bitIndex2)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3114, 3088])).
% 38.86/25.33 tff(3116,plain,
% 38.86/25.33 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB17)) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB17)) | v130(constB17, bitIndex1))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3117,plain,
% 38.86/25.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB17)) | v130(constB17, bitIndex1))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3118,plain,
% 38.86/25.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB17)) | v130(constB17, bitIndex1)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3117, 3116])).
% 38.86/25.33 tff(3119,plain,
% 38.86/25.33 (v130(constB17, bitIndex1)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3118, 1717, 2997])).
% 38.86/25.33 tff(3120,plain,
% 38.86/25.33 (((~![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))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3121,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3122,plain,
% 38.86/25.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3121, 3120])).
% 38.86/25.33 tff(3123,plain,
% 38.86/25.33 (v26(constB17) | v127(constB17, bitIndex1)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3122, 882, 3119])).
% 38.86/25.33 tff(3124,plain,
% 38.86/25.33 (v127(constB17, bitIndex1)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3123, 93])).
% 38.86/25.33 tff(3125,plain,
% 38.86/25.33 (((~![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))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3126,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 38.86/25.33 inference(quant_inst,[status(thm)],[])).
% 38.86/25.33 tff(3127,plain,
% 38.86/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 38.86/25.33 inference(modus_ponens,[status(thm)],[3126, 3125])).
% 38.86/25.33 tff(3128,plain,
% 38.86/25.33 ((~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3127, 897, 3029])).
% 38.86/25.33 tff(3129,plain,
% 38.86/25.33 (v129(constB18, bitIndex1)),
% 38.86/25.33 inference(unit_resolution,[status(thm)],[3128, 3124])).
% 38.86/25.33 tff(3130,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3131,plain,
% 38.86/25.33 ((v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 38.86/25.33 inference(rewrite,[status(thm)],[])).
% 38.86/25.33 tff(3132,plain,
% 38.86/25.33 (((~![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))))),
% 38.86/25.33 inference(monotonicity,[status(thm)],[3131])).
% 38.86/25.33 tff(3133,plain,
% 38.86/25.33 (((~![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)))),
% 38.86/25.33 inference(transitivity,[status(thm)],[3132, 3130])).
% 38.86/25.33 tff(3134,plain,
% 38.86/25.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3135,plain,
% 38.86/25.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 38.86/25.34 tff(3136,plain,
% 38.86/25.34 (v90(constB18, bitIndex1) | (~v100(constB18))),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3135, 912, 3129])).
% 38.86/25.34 tff(3137,plain,
% 38.86/25.34 (v90(constB18, bitIndex1)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3136, 3063])).
% 38.86/25.34 tff(3138,plain,
% 38.86/25.34 (((~![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))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3139,plain,
% 38.86/25.34 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3140,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(monotonicity,[status(thm)],[3139])).
% 38.86/25.34 tff(3141,plain,
% 38.86/25.34 (((~![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))),
% 38.86/25.34 inference(transitivity,[status(thm)],[3140, 3138])).
% 38.86/25.34 tff(3142,plain,
% 38.86/25.34 ((~![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))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3143,plain,
% 38.86/25.34 ((~![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)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 38.86/25.34 tff(3144,plain,
% 38.86/25.34 ((~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3143, 1049, 3094])).
% 38.86/25.34 tff(3145,plain,
% 38.86/25.34 ((~v90(constB18, bitIndex1)) | v90(constB19, bitIndex1)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3144, 3106])).
% 38.86/25.34 tff(3146,plain,
% 38.86/25.34 (v90(constB19, bitIndex1)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3145, 3137])).
% 38.86/25.34 tff(3147,plain,
% 38.86/25.34 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB17)) | v130(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB17)) | v130(constB17, bitIndex0))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3148,plain,
% 38.86/25.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB17)) | v130(constB17, bitIndex0))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3149,plain,
% 38.86/25.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB17)) | v130(constB17, bitIndex0)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3148, 3147])).
% 38.86/25.34 tff(3150,plain,
% 38.86/25.34 (v130(constB17, bitIndex0)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3149, 1758, 2997])).
% 38.86/25.34 tff(3151,plain,
% 38.86/25.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3152,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3153,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3152, 3151])).
% 38.86/25.34 tff(3154,plain,
% 38.86/25.34 (v26(constB17) | v127(constB17, bitIndex0)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3153, 601, 3150])).
% 38.86/25.34 tff(3155,plain,
% 38.86/25.34 (v127(constB17, bitIndex0)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3154, 93])).
% 38.86/25.34 tff(3156,plain,
% 38.86/25.34 (((~![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))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3157,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3158,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 38.86/25.34 tff(3159,plain,
% 38.86/25.34 ((~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3158, 616, 3029])).
% 38.86/25.34 tff(3160,plain,
% 38.86/25.34 (v129(constB18, bitIndex0)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3159, 3155])).
% 38.86/25.34 tff(3161,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3162,plain,
% 38.86/25.34 ((v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3163,plain,
% 38.86/25.34 (((~![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))))),
% 38.86/25.34 inference(monotonicity,[status(thm)],[3162])).
% 38.86/25.34 tff(3164,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(transitivity,[status(thm)],[3163, 3161])).
% 38.86/25.34 tff(3165,plain,
% 38.86/25.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3166,plain,
% 38.86/25.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 38.86/25.34 tff(3167,plain,
% 38.86/25.34 (v90(constB18, bitIndex0) | (~v100(constB18))),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3166, 631, 3160])).
% 38.86/25.34 tff(3168,plain,
% 38.86/25.34 (v90(constB18, bitIndex0)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3167, 3063])).
% 38.86/25.34 tff(3169,plain,
% 38.86/25.34 (((~![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))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3170,plain,
% 38.86/25.34 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3171,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(monotonicity,[status(thm)],[3170])).
% 38.86/25.34 tff(3172,plain,
% 38.86/25.34 (((~![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))),
% 38.86/25.34 inference(transitivity,[status(thm)],[3171, 3169])).
% 38.86/25.34 tff(3173,plain,
% 38.86/25.34 ((~![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))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3174,plain,
% 38.86/25.34 ((~![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)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 38.86/25.34 tff(3175,plain,
% 38.86/25.34 ((~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3174, 649, 3094])).
% 38.86/25.34 tff(3176,plain,
% 38.86/25.34 ((~v90(constB18, bitIndex0)) | v90(constB19, bitIndex0)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3175, 3106])).
% 38.86/25.34 tff(3177,plain,
% 38.86/25.34 (v90(constB19, bitIndex0)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3176, 3168])).
% 38.86/25.34 tff(3178,plain,
% 38.86/25.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3179,plain,
% 38.86/25.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3180,plain,
% 38.86/25.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3179, 3178])).
% 38.86/25.34 tff(3181,plain,
% 38.86/25.34 (v122(constB19)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3180, 1184, 3177, 3146, 3115])).
% 38.86/25.34 tff(3182,plain,
% 38.86/25.34 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB19) | (~v122(constB19)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB19) | (~v122(constB19)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3183,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB19) | (~v122(constB19)))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3184,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB19) | (~v122(constB19))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3183, 3182])).
% 38.86/25.34 tff(3185,plain,
% 38.86/25.34 (v116(constB19)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3184, 1149, 3181])).
% 38.86/25.34 tff(3186,plain,
% 38.86/25.34 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3187,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3188,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3187, 3186])).
% 38.86/25.34 tff(3189,plain,
% 38.86/25.34 (v115(constB19)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3188, 272, 3185])).
% 38.86/25.34 tff(3190,plain,
% 38.86/25.34 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3191,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3192,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3191, 3190])).
% 38.86/25.34 tff(3193,plain,
% 38.86/25.34 (v114(constB19)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3192, 283, 3189])).
% 38.86/25.34 tff(3194,plain,
% 38.86/25.34 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3195,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3196,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 38.86/25.34 tff(3197,plain,
% 38.86/25.34 (v113(constB19)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3196, 294, 3193])).
% 38.86/25.34 tff(3198,plain,
% 38.86/25.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3199,plain,
% 38.86/25.34 ((v26(constB19) | (~v113(constB19)) | v112(constB19)) <=> (v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3200,plain,
% 38.86/25.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19))))),
% 38.86/25.34 inference(monotonicity,[status(thm)],[3199])).
% 38.86/25.34 tff(3201,plain,
% 38.86/25.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 38.86/25.34 inference(transitivity,[status(thm)],[3200, 3198])).
% 38.86/25.34 tff(3202,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3203,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3202, 3201])).
% 38.86/25.34 tff(3204,plain,
% 38.86/25.34 (v26(constB19) | v112(constB19)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3203, 308, 3197])).
% 38.86/25.34 tff(3205,plain,
% 38.86/25.34 (v112(constB19)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3204, 89])).
% 38.86/25.34 tff(3206,plain,
% 38.86/25.34 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3207,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3208,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3207, 3206])).
% 38.86/25.34 tff(3209,plain,
% 38.86/25.34 (v108(constB19)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3208, 320, 3205])).
% 38.86/25.34 tff(3210,plain,
% 38.86/25.34 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3211,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 38.86/25.34 tff(3212,plain,
% 38.86/25.34 (nextState(constB19, constB20)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3211, 3210])).
% 38.86/25.34 tff(3213,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3214,plain,
% 38.86/25.34 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3215,plain,
% 38.86/25.34 (((~![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))))),
% 38.86/25.34 inference(monotonicity,[status(thm)],[3214])).
% 38.86/25.34 tff(3216,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(transitivity,[status(thm)],[3215, 3213])).
% 38.86/25.34 tff(3217,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3218,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3217, 3216])).
% 38.86/25.34 tff(3219,plain,
% 38.86/25.34 (v110(constB20) | (~v108(constB19))),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3218, 337, 3212])).
% 38.86/25.34 tff(3220,plain,
% 38.86/25.34 (v110(constB20)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3219, 3209])).
% 38.86/25.34 tff(3221,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3222,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3223,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3222, 3221])).
% 38.86/25.34 tff(3224,plain,
% 38.86/25.34 (~v104(constB20)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3223, 355, 3212, 3091])).
% 38.86/25.34 tff(3225,plain,
% 38.86/25.34 (((~![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))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3226,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3227,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 38.86/25.34 tff(3228,plain,
% 38.86/25.34 (v102(constB20) | v104(constB20)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3227, 369, 3212])).
% 38.86/25.34 tff(3229,plain,
% 38.86/25.34 (v102(constB20)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3228, 3224])).
% 38.86/25.34 tff(3230,plain,
% 38.86/25.34 (v1(constB20) <=> v1(constB20)),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3231,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 38.86/25.34 tff(3232,plain,
% 38.86/25.34 (v1(constB20)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 38.86/25.34 tff(3233,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3234,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3235,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3234, 3233])).
% 38.86/25.34 tff(3236,plain,
% 38.86/25.34 (v101(constB20) | (~v102(constB20))),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3235, 387, 3212, 3232])).
% 38.86/25.34 tff(3237,plain,
% 38.86/25.34 (v101(constB20)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3236, 3229])).
% 38.86/25.34 tff(3238,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3239,plain,
% 38.86/25.34 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3240,plain,
% 38.86/25.34 (((~![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))))),
% 38.86/25.34 inference(monotonicity,[status(thm)],[3239])).
% 38.86/25.34 tff(3241,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(transitivity,[status(thm)],[3240, 3238])).
% 38.86/25.34 tff(3242,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3243,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3242, 3241])).
% 38.86/25.34 tff(3244,plain,
% 38.86/25.34 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3243, 402, 3212])).
% 38.86/25.34 tff(3245,plain,
% 38.86/25.34 (v100(constB20) | (~v110(constB20))),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3244, 3237])).
% 38.86/25.34 tff(3246,plain,
% 38.86/25.34 (v100(constB20)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3245, 3220])).
% 38.86/25.34 tff(3247,plain,
% 38.86/25.34 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3248,plain,
% 38.86/25.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3249,plain,
% 38.86/25.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 38.86/25.34 tff(3250,plain,
% 38.86/25.34 (v130(constB19, bitIndex2)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3249, 1803, 3181])).
% 38.86/25.34 tff(3251,plain,
% 38.86/25.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3252,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3253,plain,
% 38.86/25.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3252, 3251])).
% 38.86/25.34 tff(3254,plain,
% 38.86/25.34 (v26(constB19) | v127(constB19, bitIndex2)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3253, 1821, 3250])).
% 38.86/25.34 tff(3255,plain,
% 38.86/25.34 (v127(constB19, bitIndex2)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3254, 89])).
% 38.86/25.34 tff(3256,plain,
% 38.86/25.34 (((~![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))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3257,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3258,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3257, 3256])).
% 38.86/25.34 tff(3259,plain,
% 38.86/25.34 ((~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3258, 1836, 3212])).
% 38.86/25.34 tff(3260,plain,
% 38.86/25.34 (v129(constB20, bitIndex2)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3259, 3255])).
% 38.86/25.34 tff(3261,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3262,plain,
% 38.86/25.34 ((v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3263,plain,
% 38.86/25.34 (((~![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))))),
% 38.86/25.34 inference(monotonicity,[status(thm)],[3262])).
% 38.86/25.34 tff(3264,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(transitivity,[status(thm)],[3263, 3261])).
% 38.86/25.34 tff(3265,plain,
% 38.86/25.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3266,plain,
% 38.86/25.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 38.86/25.34 tff(3267,plain,
% 38.86/25.34 (v90(constB20, bitIndex2) | (~v100(constB20))),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3266, 2100, 3260])).
% 38.86/25.34 tff(3268,plain,
% 38.86/25.34 (v90(constB20, bitIndex2)),
% 38.86/25.34 inference(unit_resolution,[status(thm)],[3267, 3246])).
% 38.86/25.34 tff(3269,plain,
% 38.86/25.34 ((~v1(constB21)) <=> (~v1(constB21))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3270,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 38.86/25.34 tff(3271,plain,
% 38.86/25.34 (~v1(constB21)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 38.86/25.34 tff(3272,plain,
% 38.86/25.34 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3273,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 38.86/25.34 tff(3274,plain,
% 38.86/25.34 (nextState(constB20, constB21)),
% 38.86/25.34 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 38.86/25.34 tff(3275,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3276,plain,
% 38.86/25.34 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 38.86/25.34 inference(rewrite,[status(thm)],[])).
% 38.86/25.34 tff(3277,plain,
% 38.86/25.34 (((~![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))))),
% 38.86/25.34 inference(monotonicity,[status(thm)],[3276])).
% 38.86/25.34 tff(3278,plain,
% 38.86/25.34 (((~![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)))),
% 38.86/25.34 inference(transitivity,[status(thm)],[3277, 3275])).
% 38.86/25.34 tff(3279,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 38.86/25.34 inference(quant_inst,[status(thm)],[])).
% 38.86/25.34 tff(3280,plain,
% 38.86/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3279, 3278])).
% 38.86/25.35 tff(3281,plain,
% 38.86/25.35 (~v101(constB21)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3280, 133, 3274, 3271])).
% 38.86/25.35 tff(3282,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3283,plain,
% 38.86/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3284,plain,
% 38.86/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 38.86/25.35 tff(3285,plain,
% 38.86/25.35 (v101(constB21) | (~v100(constB21))),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3284, 150, 3274])).
% 38.86/25.35 tff(3286,plain,
% 38.86/25.35 (~v100(constB21)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3285, 3281])).
% 38.86/25.35 tff(3287,plain,
% 38.86/25.35 (((~![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))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3288,plain,
% 38.86/25.35 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)) <=> ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3289,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(monotonicity,[status(thm)],[3288])).
% 38.86/25.35 tff(3290,plain,
% 38.86/25.35 (((~![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))),
% 38.86/25.35 inference(transitivity,[status(thm)],[3289, 3287])).
% 38.86/25.35 tff(3291,plain,
% 38.86/25.35 ((~![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))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3292,plain,
% 38.86/25.35 ((~![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)),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3291, 3290])).
% 38.86/25.35 tff(3293,plain,
% 38.86/25.35 ((~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3292, 2118, 3274])).
% 38.86/25.35 tff(3294,plain,
% 38.86/25.35 ((~v90(constB20, bitIndex2)) | v90(constB21, bitIndex2)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3293, 3286])).
% 38.86/25.35 tff(3295,plain,
% 38.86/25.35 (v90(constB21, bitIndex2)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3294, 3268])).
% 38.86/25.35 tff(3296,plain,
% 38.86/25.35 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB19)) | (~v130(constB19, bitIndex1)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3297,plain,
% 38.86/25.35 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex1)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3298,plain,
% 38.86/25.35 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB19)) | (~v130(constB19, bitIndex1))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3297, 3296])).
% 38.86/25.35 tff(3299,plain,
% 38.86/25.35 (~v130(constB19, bitIndex1)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3298, 2137, 3181])).
% 38.86/25.35 tff(3300,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3301,plain,
% 38.86/25.35 ((v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1))) <=> ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3302,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1)))),
% 38.86/25.35 inference(monotonicity,[status(thm)],[3301])).
% 38.86/25.35 tff(3303,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 38.86/25.35 inference(transitivity,[status(thm)],[3302, 3300])).
% 38.86/25.35 tff(3304,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3305,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1)),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 38.86/25.35 tff(3306,plain,
% 38.86/25.35 ((~v127(constB19, bitIndex1)) | v26(constB19)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3305, 527, 3299])).
% 38.86/25.35 tff(3307,plain,
% 38.86/25.35 (~v127(constB19, bitIndex1)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3306, 89])).
% 38.86/25.35 tff(3308,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3309,plain,
% 38.86/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3310,plain,
% 38.86/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3309, 3308])).
% 38.86/25.35 tff(3311,plain,
% 38.86/25.35 (v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1))),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3310, 545, 3212])).
% 38.86/25.35 tff(3312,plain,
% 38.86/25.35 (~v129(constB20, bitIndex1)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3311, 3307])).
% 38.86/25.35 tff(3313,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3314,plain,
% 38.86/25.35 (((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1)) <=> ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3315,plain,
% 38.86/25.35 (((~![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))))),
% 38.86/25.35 inference(monotonicity,[status(thm)],[3314])).
% 38.86/25.35 tff(3316,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(transitivity,[status(thm)],[3315, 3313])).
% 38.86/25.35 tff(3317,plain,
% 38.86/25.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3318,plain,
% 38.86/25.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3317, 3316])).
% 38.86/25.35 tff(3319,plain,
% 38.86/25.35 ((~v90(constB20, bitIndex1)) | (~v100(constB20))),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3318, 560, 3312])).
% 38.86/25.35 tff(3320,plain,
% 38.86/25.35 (~v90(constB20, bitIndex1)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3319, 3246])).
% 38.86/25.35 tff(3321,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3322,plain,
% 38.86/25.35 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3323,plain,
% 38.86/25.35 (((~![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))))),
% 38.86/25.35 inference(monotonicity,[status(thm)],[3322])).
% 38.86/25.35 tff(3324,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(transitivity,[status(thm)],[3323, 3321])).
% 38.86/25.35 tff(3325,plain,
% 38.86/25.35 ((~![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)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3326,plain,
% 38.86/25.35 ((~![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))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 38.86/25.35 tff(3327,plain,
% 38.86/25.35 (v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1))),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3326, 186, 3274])).
% 38.86/25.35 tff(3328,plain,
% 38.86/25.35 (v90(constB20, bitIndex1) | (~v90(constB21, bitIndex1))),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3327, 3286])).
% 38.86/25.35 tff(3329,plain,
% 38.86/25.35 (~v90(constB21, bitIndex1)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3328, 3320])).
% 38.86/25.35 tff(3330,plain,
% 38.86/25.35 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB19)) | (~v130(constB19, bitIndex0)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3331,plain,
% 38.86/25.35 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex0)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3332,plain,
% 38.86/25.35 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB19)) | (~v130(constB19, bitIndex0))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3331, 3330])).
% 38.86/25.35 tff(3333,plain,
% 38.86/25.35 (~v130(constB19, bitIndex0)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3332, 1486, 3181])).
% 38.86/25.35 tff(3334,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3335,plain,
% 38.86/25.35 ((v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0))) <=> ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3336,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0)))),
% 38.86/25.35 inference(monotonicity,[status(thm)],[3335])).
% 38.86/25.35 tff(3337,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 38.86/25.35 inference(transitivity,[status(thm)],[3336, 3334])).
% 38.86/25.35 tff(3338,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3339,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0)),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3338, 3337])).
% 38.86/25.35 tff(3340,plain,
% 38.86/25.35 ((~v127(constB19, bitIndex0)) | v26(constB19)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3339, 944, 3333])).
% 38.86/25.35 tff(3341,plain,
% 38.86/25.35 (~v127(constB19, bitIndex0)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3340, 89])).
% 38.86/25.35 tff(3342,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3343,plain,
% 38.86/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3344,plain,
% 38.86/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3343, 3342])).
% 38.86/25.35 tff(3345,plain,
% 38.86/25.35 (v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3344, 962, 3212])).
% 38.86/25.35 tff(3346,plain,
% 38.86/25.35 (~v129(constB20, bitIndex0)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3345, 3341])).
% 38.86/25.35 tff(3347,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3348,plain,
% 38.86/25.35 (((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0)) <=> ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3349,plain,
% 38.86/25.35 (((~![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))))),
% 38.86/25.35 inference(monotonicity,[status(thm)],[3348])).
% 38.86/25.35 tff(3350,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(transitivity,[status(thm)],[3349, 3347])).
% 38.86/25.35 tff(3351,plain,
% 38.86/25.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3352,plain,
% 38.86/25.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3351, 3350])).
% 38.86/25.35 tff(3353,plain,
% 38.86/25.35 ((~v90(constB20, bitIndex0)) | (~v100(constB20))),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3352, 977, 3346])).
% 38.86/25.35 tff(3354,plain,
% 38.86/25.35 (~v90(constB20, bitIndex0)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3353, 3246])).
% 38.86/25.35 tff(3355,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3356,plain,
% 38.86/25.35 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3357,plain,
% 38.86/25.35 (((~![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))))),
% 38.86/25.35 inference(monotonicity,[status(thm)],[3356])).
% 38.86/25.35 tff(3358,plain,
% 38.86/25.35 (((~![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)))),
% 38.86/25.35 inference(transitivity,[status(thm)],[3357, 3355])).
% 38.86/25.35 tff(3359,plain,
% 38.86/25.35 ((~![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)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3360,plain,
% 38.86/25.35 ((~![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))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3359, 3358])).
% 38.86/25.35 tff(3361,plain,
% 38.86/25.35 (v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3360, 207, 3274])).
% 38.86/25.35 tff(3362,plain,
% 38.86/25.35 (v90(constB20, bitIndex0) | (~v90(constB21, bitIndex0))),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3361, 3286])).
% 38.86/25.35 tff(3363,plain,
% 38.86/25.35 (~v90(constB21, bitIndex0)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3362, 3354])).
% 38.86/25.35 tff(3364,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3365,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3366,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21)),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3365, 3364])).
% 38.86/25.35 tff(3367,plain,
% 38.86/25.35 (v123(constB21)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3366, 1280, 3363, 3329, 3295])).
% 38.86/25.35 tff(3368,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB21) | (~v123(constB21)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB21) | (~v123(constB21)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3369,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB21) | (~v123(constB21)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3370,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB21) | (~v123(constB21))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3369, 3368])).
% 38.86/25.35 tff(3371,plain,
% 38.86/25.35 (v115(constB21)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3370, 1247, 3367])).
% 38.86/25.35 tff(3372,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3373,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3374,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3373, 3372])).
% 38.86/25.35 tff(3375,plain,
% 38.86/25.35 (v114(constB21)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3374, 283, 3371])).
% 38.86/25.35 tff(3376,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3377,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3378,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3377, 3376])).
% 38.86/25.35 tff(3379,plain,
% 38.86/25.35 (v113(constB21)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3378, 294, 3375])).
% 38.86/25.35 tff(3380,assumption,(v26(constB21)), introduced(assumption)).
% 38.86/25.35 tff(3381,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3382,plain,
% 38.86/25.35 ($false),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3381, 86, 3380])).
% 38.86/25.35 tff(3383,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 38.86/25.35 tff(3384,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3385,plain,
% 38.86/25.35 ((v26(constB21) | (~v113(constB21)) | v112(constB21)) <=> (v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3386,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21))))),
% 38.86/25.35 inference(monotonicity,[status(thm)],[3385])).
% 38.86/25.35 tff(3387,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 38.86/25.35 inference(transitivity,[status(thm)],[3386, 3384])).
% 38.86/25.35 tff(3388,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3389,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21))),
% 38.86/25.35 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 38.86/25.35 tff(3390,plain,
% 38.86/25.35 (v112(constB21) | (~v113(constB21))),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3389, 308, 3383])).
% 38.86/25.35 tff(3391,plain,
% 38.86/25.35 (v112(constB21)),
% 38.86/25.35 inference(unit_resolution,[status(thm)],[3390, 3379])).
% 38.86/25.35 tff(3392,plain,
% 38.86/25.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21)))),
% 38.86/25.35 inference(rewrite,[status(thm)],[])).
% 38.86/25.35 tff(3393,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))),
% 38.86/25.35 inference(quant_inst,[status(thm)],[])).
% 38.86/25.35 tff(3394,plain,
% 38.86/25.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3393, 3392])).
% 38.86/25.36 tff(3395,plain,
% 38.86/25.36 (v108(constB21)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3394, 320, 3391])).
% 38.86/25.36 tff(3396,plain,
% 38.86/25.36 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3397,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 38.86/25.36 tff(3398,plain,
% 38.86/25.36 (nextState(constB21, constB22)),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3397, 3396])).
% 38.86/25.36 tff(3399,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3400,plain,
% 38.86/25.36 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3401,plain,
% 38.86/25.36 (((~![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))))),
% 38.86/25.36 inference(monotonicity,[status(thm)],[3400])).
% 38.86/25.36 tff(3402,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(transitivity,[status(thm)],[3401, 3399])).
% 38.86/25.36 tff(3403,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3404,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 38.86/25.36 tff(3405,plain,
% 38.86/25.36 (v110(constB22) | (~v108(constB21))),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3404, 337, 3398])).
% 38.86/25.36 tff(3406,plain,
% 38.86/25.36 (v110(constB22)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3405, 3395])).
% 38.86/25.36 tff(3407,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3408,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3409,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3408, 3407])).
% 38.86/25.36 tff(3410,plain,
% 38.86/25.36 (~v104(constB22)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3409, 355, 3398, 3271])).
% 38.86/25.36 tff(3411,plain,
% 38.86/25.36 (((~![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))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3412,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3413,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3412, 3411])).
% 38.86/25.36 tff(3414,plain,
% 38.86/25.36 (v102(constB22) | v104(constB22)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3413, 369, 3398])).
% 38.86/25.36 tff(3415,plain,
% 38.86/25.36 (v102(constB22)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3414, 3410])).
% 38.86/25.36 tff(3416,plain,
% 38.86/25.36 (v1(constB22) <=> v1(constB22)),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3417,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 38.86/25.36 tff(3418,plain,
% 38.86/25.36 (v1(constB22)),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3417, 3416])).
% 38.86/25.36 tff(3419,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3420,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3421,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3420, 3419])).
% 38.86/25.36 tff(3422,plain,
% 38.86/25.36 (v101(constB22) | (~v102(constB22))),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3421, 387, 3398, 3418])).
% 38.86/25.36 tff(3423,plain,
% 38.86/25.36 (v101(constB22)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3422, 3415])).
% 38.86/25.36 tff(3424,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3425,plain,
% 38.86/25.36 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3426,plain,
% 38.86/25.36 (((~![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))))),
% 38.86/25.36 inference(monotonicity,[status(thm)],[3425])).
% 38.86/25.36 tff(3427,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(transitivity,[status(thm)],[3426, 3424])).
% 38.86/25.36 tff(3428,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3429,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3428, 3427])).
% 38.86/25.36 tff(3430,plain,
% 38.86/25.36 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3429, 402, 3398])).
% 38.86/25.36 tff(3431,plain,
% 38.86/25.36 (v100(constB22) | (~v110(constB22))),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3430, 3423])).
% 38.86/25.36 tff(3432,plain,
% 38.86/25.36 (v100(constB22)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3431, 3406])).
% 38.86/25.36 tff(3433,plain,
% 38.86/25.36 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB21)) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB21)) | v130(constB21, bitIndex2))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3434,plain,
% 38.86/25.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB21)) | v130(constB21, bitIndex2))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3435,plain,
% 38.86/25.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB21)) | v130(constB21, bitIndex2)),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 38.86/25.36 tff(3436,plain,
% 38.86/25.36 (v130(constB21, bitIndex2)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3435, 2165, 3367])).
% 38.86/25.36 tff(3437,plain,
% 38.86/25.36 (((~![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))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3438,plain,
% 38.86/25.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3439,plain,
% 38.86/25.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 38.86/25.36 tff(3440,plain,
% 38.86/25.36 ((~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3439, 1821, 3383])).
% 38.86/25.36 tff(3441,plain,
% 38.86/25.36 (v127(constB21, bitIndex2)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3440, 3436])).
% 38.86/25.36 tff(3442,plain,
% 38.86/25.36 (((~![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))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3443,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3444,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3443, 3442])).
% 38.86/25.36 tff(3445,plain,
% 38.86/25.36 ((~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3444, 1836, 3398])).
% 38.86/25.36 tff(3446,plain,
% 38.86/25.36 (v129(constB22, bitIndex2)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3445, 3441])).
% 38.86/25.36 tff(3447,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3448,plain,
% 38.86/25.36 ((v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3449,plain,
% 38.86/25.36 (((~![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))))),
% 38.86/25.36 inference(monotonicity,[status(thm)],[3448])).
% 38.86/25.36 tff(3450,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(transitivity,[status(thm)],[3449, 3447])).
% 38.86/25.36 tff(3451,plain,
% 38.86/25.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3452,plain,
% 38.86/25.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3451, 3450])).
% 38.86/25.36 tff(3453,plain,
% 38.86/25.36 (v90(constB22, bitIndex2) | (~v100(constB22))),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3452, 2100, 3446])).
% 38.86/25.36 tff(3454,plain,
% 38.86/25.36 (v90(constB22, bitIndex2)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3453, 3432])).
% 38.86/25.36 tff(3455,plain,
% 38.86/25.36 ((~v1(constB23)) <=> (~v1(constB23))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3456,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 38.86/25.36 tff(3457,plain,
% 38.86/25.36 (~v1(constB23)),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3456, 3455])).
% 38.86/25.36 tff(3458,plain,
% 38.86/25.36 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3459,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 38.86/25.36 tff(3460,plain,
% 38.86/25.36 (nextState(constB22, constB23)),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3459, 3458])).
% 38.86/25.36 tff(3461,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3462,plain,
% 38.86/25.36 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3463,plain,
% 38.86/25.36 (((~![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))))),
% 38.86/25.36 inference(monotonicity,[status(thm)],[3462])).
% 38.86/25.36 tff(3464,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(transitivity,[status(thm)],[3463, 3461])).
% 38.86/25.36 tff(3465,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3466,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3465, 3464])).
% 38.86/25.36 tff(3467,plain,
% 38.86/25.36 (~v101(constB23)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3466, 133, 3460, 3457])).
% 38.86/25.36 tff(3468,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3469,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3470,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3469, 3468])).
% 38.86/25.36 tff(3471,plain,
% 38.86/25.36 (v101(constB23) | (~v100(constB23))),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3470, 150, 3460])).
% 38.86/25.36 tff(3472,plain,
% 38.86/25.36 (~v100(constB23)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3471, 3467])).
% 38.86/25.36 tff(3473,plain,
% 38.86/25.36 (((~![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))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3474,plain,
% 38.86/25.36 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3475,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(monotonicity,[status(thm)],[3474])).
% 38.86/25.36 tff(3476,plain,
% 38.86/25.36 (((~![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))),
% 38.86/25.36 inference(transitivity,[status(thm)],[3475, 3473])).
% 38.86/25.36 tff(3477,plain,
% 38.86/25.36 ((~![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))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3478,plain,
% 38.86/25.36 ((~![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)),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3477, 3476])).
% 38.86/25.36 tff(3479,plain,
% 38.86/25.36 ((~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3478, 2118, 3460])).
% 38.86/25.36 tff(3480,plain,
% 38.86/25.36 ((~v90(constB22, bitIndex2)) | v90(constB23, bitIndex2)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3479, 3472])).
% 38.86/25.36 tff(3481,plain,
% 38.86/25.36 (v90(constB23, bitIndex2)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3480, 3454])).
% 38.86/25.36 tff(3482,plain,
% 38.86/25.36 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB21)) | (~v130(constB21, bitIndex1)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3483,plain,
% 38.86/25.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex1)))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3484,plain,
% 38.86/25.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB21)) | (~v130(constB21, bitIndex1))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3483, 3482])).
% 38.86/25.36 tff(3485,plain,
% 38.86/25.36 (~v130(constB21, bitIndex1)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3484, 1579, 3367])).
% 38.86/25.36 tff(3486,plain,
% 38.86/25.36 (((~![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))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3487,plain,
% 38.86/25.36 ((v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1))) <=> ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3488,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(monotonicity,[status(thm)],[3487])).
% 38.86/25.36 tff(3489,plain,
% 38.86/25.36 (((~![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))),
% 38.86/25.36 inference(transitivity,[status(thm)],[3488, 3486])).
% 38.86/25.36 tff(3490,plain,
% 38.86/25.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3491,plain,
% 38.86/25.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3490, 3489])).
% 38.86/25.36 tff(3492,plain,
% 38.86/25.36 ((~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3491, 527, 3383])).
% 38.86/25.36 tff(3493,plain,
% 38.86/25.36 (~v127(constB21, bitIndex1)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3492, 3485])).
% 38.86/25.36 tff(3494,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3495,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3496,plain,
% 38.86/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3495, 3494])).
% 38.86/25.36 tff(3497,plain,
% 38.86/25.36 (v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3496, 545, 3398])).
% 38.86/25.36 tff(3498,plain,
% 38.86/25.36 (~v129(constB22, bitIndex1)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3497, 3493])).
% 38.86/25.36 tff(3499,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3500,plain,
% 38.86/25.36 (((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3501,plain,
% 38.86/25.36 (((~![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))))),
% 38.86/25.36 inference(monotonicity,[status(thm)],[3500])).
% 38.86/25.36 tff(3502,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(transitivity,[status(thm)],[3501, 3499])).
% 38.86/25.36 tff(3503,plain,
% 38.86/25.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3504,plain,
% 38.86/25.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3503, 3502])).
% 38.86/25.36 tff(3505,plain,
% 38.86/25.36 ((~v90(constB22, bitIndex1)) | (~v100(constB22))),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3504, 560, 3498])).
% 38.86/25.36 tff(3506,plain,
% 38.86/25.36 (~v90(constB22, bitIndex1)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3505, 3432])).
% 38.86/25.36 tff(3507,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3508,plain,
% 38.86/25.36 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3509,plain,
% 38.86/25.36 (((~![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))))),
% 38.86/25.36 inference(monotonicity,[status(thm)],[3508])).
% 38.86/25.36 tff(3510,plain,
% 38.86/25.36 (((~![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)))),
% 38.86/25.36 inference(transitivity,[status(thm)],[3509, 3507])).
% 38.86/25.36 tff(3511,plain,
% 38.86/25.36 ((~![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)))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3512,plain,
% 38.86/25.36 ((~![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))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3511, 3510])).
% 38.86/25.36 tff(3513,plain,
% 38.86/25.36 (v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3512, 186, 3460])).
% 38.86/25.36 tff(3514,plain,
% 38.86/25.36 (v90(constB22, bitIndex1) | (~v90(constB23, bitIndex1))),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3513, 3472])).
% 38.86/25.36 tff(3515,plain,
% 38.86/25.36 (~v90(constB23, bitIndex1)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3514, 3506])).
% 38.86/25.36 tff(3516,plain,
% 38.86/25.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v121(constB21)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v121(constB21)))),
% 38.86/25.36 inference(rewrite,[status(thm)],[])).
% 38.86/25.36 tff(3517,plain,
% 38.86/25.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v121(constB21)))),
% 38.86/25.36 inference(quant_inst,[status(thm)],[])).
% 38.86/25.36 tff(3518,plain,
% 38.86/25.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v121(constB21))),
% 38.86/25.36 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 38.86/25.36 tff(3519,plain,
% 38.86/25.36 (~v121(constB21)),
% 38.86/25.36 inference(unit_resolution,[status(thm)],[3518, 2586, 3295])).
% 38.86/25.36 tff(3520,plain,
% 38.86/25.36 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))))),
% 38.86/25.36 inference(bind,[status(th)],[])).
% 38.86/25.36 tff(3521,plain,
% 38.86/25.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 38.86/25.36 inference(quant_intro,[status(thm)],[3520])).
% 38.86/25.36 tff(3522,plain,
% 38.86/25.36 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3523,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 38.86/25.37 tff(3524,plain,
% 38.86/25.37 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 38.86/25.37 tff(3525,plain,(
% 38.86/25.37 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 38.86/25.37 inference(skolemize,[status(sab)],[3524])).
% 38.86/25.37 tff(3526,plain,
% 38.86/25.37 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3525, 3521])).
% 38.86/25.37 tff(3527,plain,
% 38.86/25.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v122(constB21)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v122(constB21)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3528,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v122(constB21)))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3529,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v122(constB21))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 38.86/25.37 tff(3530,plain,
% 38.86/25.37 (~v122(constB21)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3529, 3526, 3295])).
% 38.86/25.37 tff(3531,plain,
% 38.86/25.37 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))))),
% 38.86/25.37 inference(bind,[status(th)],[])).
% 38.86/25.37 tff(3532,plain,
% 38.86/25.37 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 38.86/25.37 inference(quant_intro,[status(thm)],[3531])).
% 38.86/25.37 tff(3533,plain,
% 38.86/25.37 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3534,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 38.86/25.37 tff(3535,plain,
% 38.86/25.37 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 38.86/25.37 tff(3536,plain,(
% 38.86/25.37 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 38.86/25.37 inference(skolemize,[status(sab)],[3535])).
% 38.86/25.37 tff(3537,plain,
% 38.86/25.37 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3536, 3532])).
% 38.86/25.37 tff(3538,plain,
% 38.86/25.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v120(constB21)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v120(constB21)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3539,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v120(constB21)))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3540,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v120(constB21))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3539, 3538])).
% 38.86/25.37 tff(3541,plain,
% 38.86/25.37 (~v120(constB21)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3540, 3537, 3295])).
% 38.86/25.37 tff(3542,plain,
% 38.86/25.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB21, bitIndex0) | (~v124(constB21)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB21, bitIndex0) | (~v124(constB21)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3543,plain,
% 38.86/25.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB21, bitIndex0) | (~v124(constB21)))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3544,plain,
% 38.86/25.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB21, bitIndex0) | (~v124(constB21))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3543, 3542])).
% 38.86/25.37 tff(3545,plain,
% 38.86/25.37 (~v124(constB21)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3544, 1979, 3363])).
% 38.86/25.37 tff(3546,assumption,(~v130(constB21, bitIndex0)), introduced(assumption)).
% 38.86/25.37 tff(3547,assumption,(~v124(constB21)), introduced(assumption)).
% 38.86/25.37 tff(3548,assumption,(~v120(constB21)), introduced(assumption)).
% 38.86/25.37 tff(3549,plain,
% 38.86/25.37 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB21)) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB21)) | v130(constB21, bitIndex0))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3550,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB21)) | v130(constB21, bitIndex0))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3551,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB21)) | v130(constB21, bitIndex0)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3550, 3549])).
% 38.86/25.37 tff(3552,plain,
% 38.86/25.37 (~v123(constB21)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3551, 2258, 3546])).
% 38.86/25.37 tff(3553,plain,
% 38.86/25.37 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB21)) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB21)) | v130(constB21, bitIndex0))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3554,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB21)) | v130(constB21, bitIndex0))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3555,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB21)) | v130(constB21, bitIndex0)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3554, 3553])).
% 38.86/25.37 tff(3556,plain,
% 38.86/25.37 (~v119(constB21)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3555, 587, 3546])).
% 38.86/25.37 tff(3557,assumption,(~v121(constB21)), introduced(assumption)).
% 38.86/25.37 tff(3558,assumption,(~v122(constB21)), introduced(assumption)).
% 38.86/25.37 tff(3559,plain,
% 38.86/25.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB21, bitIndex0) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB21, bitIndex0) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3560,plain,
% 38.86/25.37 ((v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0)) <=> (v130(constB21, bitIndex0) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3561,plain,
% 38.86/25.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB21, bitIndex0) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21)))),
% 38.86/25.37 inference(monotonicity,[status(thm)],[3560])).
% 38.86/25.37 tff(3562,plain,
% 38.86/25.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB21, bitIndex0) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21))),
% 38.86/25.37 inference(transitivity,[status(thm)],[3561, 3559])).
% 38.86/25.37 tff(3563,plain,
% 38.86/25.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3564,plain,
% 38.86/25.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB21, bitIndex0) | v124(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v122(constB21) | v123(constB21)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3563, 3562])).
% 38.86/25.37 tff(3565,plain,
% 38.86/25.37 (v130(constB21, bitIndex0) | v124(constB21) | v120(constB21) | v119(constB21) | v123(constB21)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3564, 2753, 3558, 3557])).
% 38.86/25.37 tff(3566,plain,
% 38.86/25.37 ($false),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3565, 3556, 3552, 3548, 3547, 3546])).
% 38.86/25.37 tff(3567,plain,(v130(constB21, bitIndex0) | v120(constB21) | v124(constB21) | v122(constB21) | v121(constB21)), inference(lemma,lemma(discharge,[]))).
% 38.86/25.37 tff(3568,plain,
% 38.86/25.37 (v130(constB21, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3567, 3545, 3541, 3530, 3519])).
% 38.86/25.37 tff(3569,plain,
% 38.86/25.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3570,plain,
% 38.86/25.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3571,plain,
% 38.86/25.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 38.86/25.37 tff(3572,plain,
% 38.86/25.37 ((~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3571, 601, 3383])).
% 38.86/25.37 tff(3573,plain,
% 38.86/25.37 (v127(constB21, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3572, 3568])).
% 38.86/25.37 tff(3574,plain,
% 38.86/25.37 (((~![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))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3575,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3576,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3575, 3574])).
% 38.86/25.37 tff(3577,plain,
% 38.86/25.37 ((~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3576, 616, 3398])).
% 38.86/25.37 tff(3578,plain,
% 38.86/25.37 (v129(constB22, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3577, 3573])).
% 38.86/25.37 tff(3579,plain,
% 38.86/25.37 (((~![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)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3580,plain,
% 38.86/25.37 ((v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3581,plain,
% 38.86/25.37 (((~![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))))),
% 38.86/25.37 inference(monotonicity,[status(thm)],[3580])).
% 38.86/25.37 tff(3582,plain,
% 38.86/25.37 (((~![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)))),
% 38.86/25.37 inference(transitivity,[status(thm)],[3581, 3579])).
% 38.86/25.37 tff(3583,plain,
% 38.86/25.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3584,plain,
% 38.86/25.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3583, 3582])).
% 38.86/25.37 tff(3585,plain,
% 38.86/25.37 (v90(constB22, bitIndex0) | (~v100(constB22))),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3584, 631, 3578])).
% 38.86/25.37 tff(3586,plain,
% 38.86/25.37 (v90(constB22, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3585, 3432])).
% 38.86/25.37 tff(3587,plain,
% 38.86/25.37 (((~![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))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3588,plain,
% 38.86/25.37 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3589,plain,
% 38.86/25.37 (((~![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)))),
% 38.86/25.37 inference(monotonicity,[status(thm)],[3588])).
% 38.86/25.37 tff(3590,plain,
% 38.86/25.37 (((~![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))),
% 38.86/25.37 inference(transitivity,[status(thm)],[3589, 3587])).
% 38.86/25.37 tff(3591,plain,
% 38.86/25.37 ((~![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))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3592,plain,
% 38.86/25.37 ((~![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)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3591, 3590])).
% 38.86/25.37 tff(3593,plain,
% 38.86/25.37 ((~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3592, 649, 3460])).
% 38.86/25.37 tff(3594,plain,
% 38.86/25.37 ((~v90(constB22, bitIndex0)) | v90(constB23, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3593, 3472])).
% 38.86/25.37 tff(3595,plain,
% 38.86/25.37 (v90(constB23, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3594, 3586])).
% 38.86/25.37 tff(3596,plain,
% 38.86/25.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3597,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3598,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 38.86/25.37 tff(3599,plain,
% 38.86/25.37 (v124(constB23)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3598, 1264, 3595, 3515, 3481])).
% 38.86/25.37 tff(3600,plain,
% 38.86/25.37 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB23)) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB23)) | v130(constB23, bitIndex2))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3601,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB23)) | v130(constB23, bitIndex2))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3602,plain,
% 38.86/25.37 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB23)) | v130(constB23, bitIndex2)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 38.86/25.37 tff(3603,plain,
% 38.86/25.37 (v130(constB23, bitIndex2)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3602, 2303, 3599])).
% 38.86/25.37 tff(3604,assumption,(v26(constB23)), introduced(assumption)).
% 38.86/25.37 tff(3605,plain,
% 38.86/25.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3606,plain,
% 38.86/25.37 ($false),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3605, 86, 3604])).
% 38.86/25.37 tff(3607,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 38.86/25.37 tff(3608,plain,
% 38.86/25.37 (((~![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))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3609,plain,
% 38.86/25.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3610,plain,
% 38.86/25.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 38.86/25.37 tff(3611,plain,
% 38.86/25.37 ((~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3610, 1821, 3607])).
% 38.86/25.37 tff(3612,plain,
% 38.86/25.37 (v127(constB23, bitIndex2)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3611, 3603])).
% 38.86/25.37 tff(3613,plain,
% 38.86/25.37 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3614,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 38.86/25.37 tff(3615,plain,
% 38.86/25.37 (nextState(constB23, constB24)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 38.86/25.37 tff(3616,plain,
% 38.86/25.37 (((~![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))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3617,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3618,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3617, 3616])).
% 38.86/25.37 tff(3619,plain,
% 38.86/25.37 ((~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3618, 1836, 3615])).
% 38.86/25.37 tff(3620,plain,
% 38.86/25.37 (v129(constB24, bitIndex2)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3619, 3612])).
% 38.86/25.37 tff(3621,assumption,(~v100(constB24)), introduced(assumption)).
% 38.86/25.37 tff(3622,assumption,(~v90(constB23, bitIndex1)), introduced(assumption)).
% 38.86/25.37 tff(3623,assumption,(~v90(constB24, bitIndex0)), introduced(assumption)).
% 38.86/25.37 tff(3624,plain,
% 38.86/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3625,plain,
% 38.86/25.37 (((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex0)) | v100(constB24) | v90(constB24, bitIndex0)) <=> ((~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3626,plain,
% 38.86/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex0)) | v100(constB24) | v90(constB24, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0)))),
% 38.86/25.37 inference(monotonicity,[status(thm)],[3625])).
% 38.86/25.37 tff(3627,plain,
% 38.86/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex0)) | v100(constB24) | v90(constB24, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0))),
% 38.86/25.37 inference(transitivity,[status(thm)],[3626, 3624])).
% 38.86/25.37 tff(3628,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, bitIndex0)) | v100(constB24) | v90(constB24, bitIndex0))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3629,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB23, bitIndex0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, bitIndex0)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3628, 3627])).
% 38.86/25.37 tff(3630,plain,
% 38.86/25.37 ((~v90(constB23, bitIndex0)) | v100(constB24) | v90(constB24, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3629, 649, 3615])).
% 38.86/25.37 tff(3631,plain,
% 38.86/25.37 (~v90(constB23, bitIndex0)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3630, 3621, 3623])).
% 38.86/25.37 tff(3632,plain,
% 38.86/25.37 (((~![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)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3633,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3634,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3633, 3632])).
% 38.86/25.37 tff(3635,plain,
% 38.86/25.37 (~v104(constB24)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3634, 355, 3615, 3457])).
% 38.86/25.37 tff(3636,plain,
% 38.86/25.37 (((~![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))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3637,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3638,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3637, 3636])).
% 38.86/25.37 tff(3639,plain,
% 38.86/25.37 (v102(constB24) | v104(constB24)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3638, 369, 3615])).
% 38.86/25.37 tff(3640,plain,
% 38.86/25.37 (v102(constB24)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3639, 3635])).
% 38.86/25.37 tff(3641,plain,
% 38.86/25.37 (v1(constB24) <=> v1(constB24)),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3642,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 38.86/25.37 tff(3643,plain,
% 38.86/25.37 (v1(constB24)),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3642, 3641])).
% 38.86/25.37 tff(3644,plain,
% 38.86/25.37 (((~![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)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3645,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3646,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3645, 3644])).
% 38.86/25.37 tff(3647,plain,
% 38.86/25.37 (v101(constB24) | (~v102(constB24))),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3646, 387, 3615, 3643])).
% 38.86/25.37 tff(3648,plain,
% 38.86/25.37 (v101(constB24)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3647, 3640])).
% 38.86/25.37 tff(3649,plain,
% 38.86/25.37 (((~![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)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3650,plain,
% 38.86/25.37 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3651,plain,
% 38.86/25.37 (((~![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))))),
% 38.86/25.37 inference(monotonicity,[status(thm)],[3650])).
% 38.86/25.37 tff(3652,plain,
% 38.86/25.37 (((~![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)))),
% 38.86/25.37 inference(transitivity,[status(thm)],[3651, 3649])).
% 38.86/25.37 tff(3653,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3654,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3653, 3652])).
% 38.86/25.37 tff(3655,plain,
% 38.86/25.37 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3654, 402, 3615])).
% 38.86/25.37 tff(3656,plain,
% 38.86/25.37 (v100(constB24) | (~v110(constB24))),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3655, 3648])).
% 38.86/25.37 tff(3657,plain,
% 38.86/25.37 (~v110(constB24)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3656, 3621])).
% 38.86/25.37 tff(3658,plain,
% 38.86/25.37 (((~![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)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3659,plain,
% 38.86/25.37 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3660,plain,
% 38.86/25.37 (((~![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))))),
% 38.86/25.37 inference(monotonicity,[status(thm)],[3659])).
% 38.86/25.37 tff(3661,plain,
% 38.86/25.37 (((~![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)))),
% 38.86/25.37 inference(transitivity,[status(thm)],[3660, 3658])).
% 38.86/25.37 tff(3662,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 38.86/25.37 inference(quant_inst,[status(thm)],[])).
% 38.86/25.37 tff(3663,plain,
% 38.86/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 38.86/25.37 inference(modus_ponens,[status(thm)],[3662, 3661])).
% 38.86/25.37 tff(3664,plain,
% 38.86/25.37 (v110(constB24) | (~v108(constB23))),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3663, 337, 3615])).
% 38.86/25.37 tff(3665,plain,
% 38.86/25.37 (~v108(constB23)),
% 38.86/25.37 inference(unit_resolution,[status(thm)],[3664, 3657])).
% 38.86/25.37 tff(3666,assumption,(~v108(constB23)), introduced(assumption)).
% 38.86/25.37 tff(3667,plain,
% 38.86/25.37 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23)))),
% 38.86/25.37 inference(rewrite,[status(thm)],[])).
% 38.86/25.37 tff(3668,plain,
% 38.94/25.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))),
% 38.94/25.37 inference(quant_inst,[status(thm)],[])).
% 38.94/25.37 tff(3669,plain,
% 38.94/25.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23))),
% 38.94/25.37 inference(modus_ponens,[status(thm)],[3668, 3667])).
% 38.94/25.37 tff(3670,plain,
% 38.94/25.37 (~v112(constB23)),
% 38.94/25.37 inference(unit_resolution,[status(thm)],[3669, 320, 3666])).
% 38.94/25.37 tff(3671,plain,
% 38.94/25.37 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB23) | (~v26(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB23) | (~v26(constB23)))),
% 38.94/25.37 inference(rewrite,[status(thm)],[])).
% 38.94/25.37 tff(3672,plain,
% 38.94/25.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB23) | (~v26(constB23)))),
% 38.94/25.37 inference(quant_inst,[status(thm)],[])).
% 38.94/25.37 tff(3673,plain,
% 38.94/25.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB23) | (~v26(constB23))),
% 38.94/25.37 inference(modus_ponens,[status(thm)],[3672, 3671])).
% 38.94/25.37 tff(3674,plain,
% 38.94/25.37 (~v26(constB23)),
% 38.94/25.37 inference(unit_resolution,[status(thm)],[3673, 766, 3666])).
% 38.94/25.37 tff(3675,assumption,(v113(constB23)), introduced(assumption)).
% 38.94/25.37 tff(3676,plain,
% 38.94/25.37 (((~![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)))),
% 38.94/25.37 inference(rewrite,[status(thm)],[])).
% 38.94/25.37 tff(3677,plain,
% 38.94/25.37 ((v26(constB23) | (~v113(constB23)) | v112(constB23)) <=> (v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 38.94/25.37 inference(rewrite,[status(thm)],[])).
% 38.94/25.37 tff(3678,plain,
% 38.94/25.37 (((~![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))))),
% 38.94/25.37 inference(monotonicity,[status(thm)],[3677])).
% 38.94/25.37 tff(3679,plain,
% 38.94/25.37 (((~![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)))),
% 38.94/25.38 inference(transitivity,[status(thm)],[3678, 3676])).
% 38.94/25.38 tff(3680,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3681,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3680, 3679])).
% 38.94/25.38 tff(3682,plain,
% 38.94/25.38 (v26(constB23) | v112(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3681, 308, 3675])).
% 38.94/25.38 tff(3683,plain,
% 38.94/25.38 ($false),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3682, 3674, 3670])).
% 38.94/25.38 tff(3684,plain,(v108(constB23) | (~v113(constB23))), inference(lemma,lemma(discharge,[]))).
% 38.94/25.38 tff(3685,plain,
% 38.94/25.38 (~v113(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3684, 3665])).
% 38.94/25.38 tff(3686,plain,
% 38.94/25.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3687,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3688,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3687, 3686])).
% 38.94/25.38 tff(3689,plain,
% 38.94/25.38 (~v114(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3688, 294, 3685])).
% 38.94/25.38 tff(3690,plain,
% 38.94/25.38 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB23) | (~v115(constB23)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB23) | (~v115(constB23)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3691,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB23) | (~v115(constB23)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3692,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB23) | (~v115(constB23))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3691, 3690])).
% 38.94/25.38 tff(3693,plain,
% 38.94/25.38 (~v115(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3692, 283, 3689])).
% 38.94/25.38 tff(3694,plain,
% 38.94/25.38 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB23) | (~v123(constB23)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB23) | (~v123(constB23)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3695,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB23) | (~v123(constB23)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3696,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB23) | (~v123(constB23))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3695, 3694])).
% 38.94/25.38 tff(3697,plain,
% 38.94/25.38 (~v123(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3696, 1247, 3693])).
% 38.94/25.38 tff(3698,plain,
% 38.94/25.38 (((~![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))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3699,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3700,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23)),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3699, 3698])).
% 38.94/25.38 tff(3701,plain,
% 38.94/25.38 (v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2)) | v123(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3700, 1280, 3622])).
% 38.94/25.38 tff(3702,plain,
% 38.94/25.38 (~v90(constB23, bitIndex2)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3701, 3697, 3631])).
% 38.94/25.38 tff(3703,plain,
% 38.94/25.38 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3704,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3705,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2)),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3704, 3703])).
% 38.94/25.38 tff(3706,plain,
% 38.94/25.38 (v119(constB23) | v90(constB23, bitIndex0) | v90(constB23, bitIndex2)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3705, 228, 3622])).
% 38.94/25.38 tff(3707,plain,
% 38.94/25.38 (v119(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3706, 3702, 3631])).
% 38.94/25.38 tff(3708,plain,
% 38.94/25.38 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB23) | (~v119(constB23)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB23) | (~v119(constB23)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3709,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB23) | (~v119(constB23)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3710,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB23) | (~v119(constB23))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3709, 3708])).
% 38.94/25.38 tff(3711,plain,
% 38.94/25.38 (v118(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3710, 239, 3707])).
% 38.94/25.38 tff(3712,plain,
% 38.94/25.38 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB23) | (~v116(constB23)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB23) | (~v116(constB23)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3713,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB23) | (~v116(constB23)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3714,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB23) | (~v116(constB23))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 38.94/25.38 tff(3715,plain,
% 38.94/25.38 (~v116(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3714, 272, 3693])).
% 38.94/25.38 tff(3716,plain,
% 38.94/25.38 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB23) | (~v117(constB23)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB23) | (~v117(constB23)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3717,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB23) | (~v117(constB23)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3718,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB23) | (~v117(constB23))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 38.94/25.38 tff(3719,plain,
% 38.94/25.38 (~v117(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3718, 261, 3715])).
% 38.94/25.38 tff(3720,plain,
% 38.94/25.38 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB23) | (~v118(constB23)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB23) | (~v118(constB23)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3721,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB23) | (~v118(constB23)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3722,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB23) | (~v118(constB23))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3721, 3720])).
% 38.94/25.38 tff(3723,plain,
% 38.94/25.38 ($false),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3722, 250, 3719, 3711])).
% 38.94/25.38 tff(3724,plain,(v100(constB24) | v90(constB23, bitIndex1) | v90(constB24, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 38.94/25.38 tff(3725,plain,
% 38.94/25.38 (v90(constB24, bitIndex0)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3724, 3621, 3622])).
% 38.94/25.38 tff(3726,plain,
% 38.94/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3727,plain,
% 38.94/25.38 (((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0))) <=> (v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3728,plain,
% 38.94/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0))))),
% 38.94/25.38 inference(monotonicity,[status(thm)],[3727])).
% 38.94/25.38 tff(3729,plain,
% 38.94/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 38.94/25.38 inference(transitivity,[status(thm)],[3728, 3726])).
% 38.94/25.38 tff(3730,plain,
% 38.94/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3731,plain,
% 38.94/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB23, bitIndex0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, bitIndex0))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3730, 3729])).
% 38.94/25.38 tff(3732,plain,
% 38.94/25.38 (v90(constB23, bitIndex0) | v100(constB24) | (~v90(constB24, bitIndex0))),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3731, 207, 3615])).
% 38.94/25.38 tff(3733,plain,
% 38.94/25.38 (v90(constB23, bitIndex0)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3732, 3725, 3621])).
% 38.94/25.38 tff(3734,plain,
% 38.94/25.38 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB23) | (~v124(constB23)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB23) | (~v124(constB23)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3735,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB23) | (~v124(constB23)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3736,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB23) | (~v124(constB23))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3735, 3734])).
% 38.94/25.38 tff(3737,plain,
% 38.94/25.38 (~v124(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3736, 1236, 3689])).
% 38.94/25.38 tff(3738,plain,
% 38.94/25.38 ((~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2)) | v124(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3598, 1264, 3622])).
% 38.94/25.38 tff(3739,plain,
% 38.94/25.38 (~v90(constB23, bitIndex2)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3738, 3737, 3733])).
% 38.94/25.38 tff(3740,plain,
% 38.94/25.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3741,plain,
% 38.94/25.38 (((~v90(constB23, bitIndex0)) | v120(constB23) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2)) <=> ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3742,plain,
% 38.94/25.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex0)) | v120(constB23) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23)))),
% 38.94/25.38 inference(monotonicity,[status(thm)],[3741])).
% 38.94/25.38 tff(3743,plain,
% 38.94/25.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex0)) | v120(constB23) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23))),
% 38.94/25.38 inference(transitivity,[status(thm)],[3742, 3740])).
% 38.94/25.38 tff(3744,plain,
% 38.94/25.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex0)) | v120(constB23) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3745,plain,
% 38.94/25.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | v90(constB23, bitIndex2) | v120(constB23)),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3744, 3743])).
% 38.94/25.38 tff(3746,plain,
% 38.94/25.38 ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex2) | v120(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3745, 668, 3622])).
% 38.94/25.38 tff(3747,plain,
% 38.94/25.38 (v120(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3746, 3739, 3733])).
% 38.94/25.38 tff(3748,plain,
% 38.94/25.38 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB23) | (~v120(constB23)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB23) | (~v120(constB23)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3749,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB23) | (~v120(constB23)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3750,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB23) | (~v120(constB23))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3749, 3748])).
% 38.94/25.38 tff(3751,plain,
% 38.94/25.38 (v118(constB23)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3750, 778, 3747])).
% 38.94/25.38 tff(3752,plain,
% 38.94/25.38 ($false),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3722, 250, 3719, 3751])).
% 38.94/25.38 tff(3753,plain,(v100(constB24) | v90(constB23, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 38.94/25.38 tff(3754,plain,
% 38.94/25.38 (v100(constB24)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3753, 3515])).
% 38.94/25.38 tff(3755,plain,
% 38.94/25.38 (((~![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)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3756,plain,
% 38.94/25.38 ((v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3757,plain,
% 38.94/25.38 (((~![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))))),
% 38.94/25.38 inference(monotonicity,[status(thm)],[3756])).
% 38.94/25.38 tff(3758,plain,
% 38.94/25.38 (((~![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)))),
% 38.94/25.38 inference(transitivity,[status(thm)],[3757, 3755])).
% 38.94/25.38 tff(3759,plain,
% 38.94/25.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3760,plain,
% 38.94/25.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3759, 3758])).
% 38.94/25.38 tff(3761,plain,
% 38.94/25.38 (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2))),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3760, 2100, 3754])).
% 38.94/25.38 tff(3762,plain,
% 38.94/25.38 (v90(constB24, bitIndex2)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3761, 3620])).
% 38.94/25.38 tff(3763,plain,
% 38.94/25.38 ((~v1(constB25)) <=> (~v1(constB25))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3764,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 38.94/25.38 tff(3765,plain,
% 38.94/25.38 (~v1(constB25)),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3764, 3763])).
% 38.94/25.38 tff(3766,plain,
% 38.94/25.38 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3767,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 38.94/25.38 tff(3768,plain,
% 38.94/25.38 (nextState(constB24, constB25)),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3767, 3766])).
% 38.94/25.38 tff(3769,plain,
% 38.94/25.38 (((~![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)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3770,plain,
% 38.94/25.38 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3771,plain,
% 38.94/25.38 (((~![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))))),
% 38.94/25.38 inference(monotonicity,[status(thm)],[3770])).
% 38.94/25.38 tff(3772,plain,
% 38.94/25.38 (((~![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)))),
% 38.94/25.38 inference(transitivity,[status(thm)],[3771, 3769])).
% 38.94/25.38 tff(3773,plain,
% 38.94/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3774,plain,
% 38.94/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 38.94/25.38 tff(3775,plain,
% 38.94/25.38 (~v101(constB25)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3774, 133, 3768, 3765])).
% 38.94/25.38 tff(3776,plain,
% 38.94/25.38 (((~![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)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3777,plain,
% 38.94/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3778,plain,
% 38.94/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 38.94/25.38 tff(3779,plain,
% 38.94/25.38 (v101(constB25) | (~v100(constB25))),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3778, 150, 3768])).
% 38.94/25.38 tff(3780,plain,
% 38.94/25.38 (~v100(constB25)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3779, 3775])).
% 38.94/25.38 tff(3781,plain,
% 38.94/25.38 (((~![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))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3782,plain,
% 38.94/25.38 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)) <=> ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3783,plain,
% 38.94/25.38 (((~![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)))),
% 38.94/25.38 inference(monotonicity,[status(thm)],[3782])).
% 38.94/25.38 tff(3784,plain,
% 38.94/25.38 (((~![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))),
% 38.94/25.38 inference(transitivity,[status(thm)],[3783, 3781])).
% 38.94/25.38 tff(3785,plain,
% 38.94/25.38 ((~![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))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3786,plain,
% 38.94/25.38 ((~![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)),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 38.94/25.38 tff(3787,plain,
% 38.94/25.38 ((~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3786, 2118, 3768])).
% 38.94/25.38 tff(3788,plain,
% 38.94/25.38 ((~v90(constB24, bitIndex2)) | v90(constB25, bitIndex2)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3787, 3780])).
% 38.94/25.38 tff(3789,plain,
% 38.94/25.38 (v90(constB25, bitIndex2)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3788, 3762])).
% 38.94/25.38 tff(3790,plain,
% 38.94/25.38 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3791,plain,
% 38.94/25.38 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3792,plain,
% 38.94/25.38 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1)),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3791, 3790])).
% 38.94/25.38 tff(3793,plain,
% 38.94/25.38 (v130(constB23, bitIndex1)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3792, 2347, 3599])).
% 38.94/25.38 tff(3794,plain,
% 38.94/25.38 (((~![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))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3795,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3796,plain,
% 38.94/25.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3795, 3794])).
% 38.94/25.38 tff(3797,plain,
% 38.94/25.38 ((~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3796, 882, 3607])).
% 38.94/25.38 tff(3798,plain,
% 38.94/25.38 (v127(constB23, bitIndex1)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3797, 3793])).
% 38.94/25.38 tff(3799,plain,
% 38.94/25.38 (((~![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))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3800,plain,
% 38.94/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3801,plain,
% 38.94/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 38.94/25.38 tff(3802,plain,
% 38.94/25.38 ((~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3801, 897, 3615])).
% 38.94/25.38 tff(3803,plain,
% 38.94/25.38 (v129(constB24, bitIndex1)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3802, 3798])).
% 38.94/25.38 tff(3804,plain,
% 38.94/25.38 (((~![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)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3805,plain,
% 38.94/25.38 ((v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3806,plain,
% 38.94/25.38 (((~![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))))),
% 38.94/25.38 inference(monotonicity,[status(thm)],[3805])).
% 38.94/25.38 tff(3807,plain,
% 38.94/25.38 (((~![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)))),
% 38.94/25.38 inference(transitivity,[status(thm)],[3806, 3804])).
% 38.94/25.38 tff(3808,plain,
% 38.94/25.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))),
% 38.94/25.38 inference(quant_inst,[status(thm)],[])).
% 38.94/25.38 tff(3809,plain,
% 38.94/25.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 38.94/25.38 inference(modus_ponens,[status(thm)],[3808, 3807])).
% 38.94/25.38 tff(3810,plain,
% 38.94/25.38 (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1))),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3809, 912, 3754])).
% 38.94/25.38 tff(3811,plain,
% 38.94/25.38 (v90(constB24, bitIndex1)),
% 38.94/25.38 inference(unit_resolution,[status(thm)],[3810, 3803])).
% 38.94/25.38 tff(3812,plain,
% 38.94/25.38 (((~![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))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3813,plain,
% 38.94/25.38 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 38.94/25.38 inference(rewrite,[status(thm)],[])).
% 38.94/25.38 tff(3814,plain,
% 38.94/25.38 (((~![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)))),
% 38.94/25.38 inference(monotonicity,[status(thm)],[3813])).
% 38.94/25.38 tff(3815,plain,
% 38.94/25.38 (((~![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))),
% 38.94/25.39 inference(transitivity,[status(thm)],[3814, 3812])).
% 38.94/25.39 tff(3816,plain,
% 38.94/25.39 ((~![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))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3817,plain,
% 38.94/25.39 ((~![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)),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 38.94/25.39 tff(3818,plain,
% 38.94/25.39 ((~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3817, 1049, 3768])).
% 38.94/25.39 tff(3819,plain,
% 38.94/25.39 ((~v90(constB24, bitIndex1)) | v90(constB25, bitIndex1)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3818, 3780])).
% 38.94/25.39 tff(3820,plain,
% 38.94/25.39 (v90(constB25, bitIndex1)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3819, 3811])).
% 38.94/25.39 tff(3821,plain,
% 38.94/25.39 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB23)) | (~v130(constB23, bitIndex0)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3822,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex0)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3823,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB23)) | (~v130(constB23, bitIndex0))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3822, 3821])).
% 38.94/25.39 tff(3824,plain,
% 38.94/25.39 (~v130(constB23, bitIndex0)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3823, 1519, 3599])).
% 38.94/25.39 tff(3825,plain,
% 38.94/25.39 (((~![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))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3826,plain,
% 38.94/25.39 ((v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0))) <=> ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3827,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(monotonicity,[status(thm)],[3826])).
% 38.94/25.39 tff(3828,plain,
% 38.94/25.39 (((~![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))),
% 38.94/25.39 inference(transitivity,[status(thm)],[3827, 3825])).
% 38.94/25.39 tff(3829,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3830,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3829, 3828])).
% 38.94/25.39 tff(3831,plain,
% 38.94/25.39 ((~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3830, 944, 3607])).
% 38.94/25.39 tff(3832,plain,
% 38.94/25.39 (~v127(constB23, bitIndex0)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3831, 3824])).
% 38.94/25.39 tff(3833,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3834,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3835,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3834, 3833])).
% 38.94/25.39 tff(3836,plain,
% 38.94/25.39 (v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3835, 962, 3615])).
% 38.94/25.39 tff(3837,plain,
% 38.94/25.39 (~v129(constB24, bitIndex0)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3836, 3832])).
% 38.94/25.39 tff(3838,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3839,plain,
% 38.94/25.39 (((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0)) <=> ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3840,plain,
% 38.94/25.39 (((~![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))))),
% 38.94/25.39 inference(monotonicity,[status(thm)],[3839])).
% 38.94/25.39 tff(3841,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(transitivity,[status(thm)],[3840, 3838])).
% 38.94/25.39 tff(3842,plain,
% 38.94/25.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3843,plain,
% 38.94/25.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3842, 3841])).
% 38.94/25.39 tff(3844,plain,
% 38.94/25.39 ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3843, 977, 3754])).
% 38.94/25.39 tff(3845,plain,
% 38.94/25.39 (~v90(constB24, bitIndex0)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3844, 3837])).
% 38.94/25.39 tff(3846,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3847,plain,
% 38.94/25.39 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))) <=> (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3848,plain,
% 38.94/25.39 (((~![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))))),
% 38.94/25.39 inference(monotonicity,[status(thm)],[3847])).
% 38.94/25.39 tff(3849,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(transitivity,[status(thm)],[3848, 3846])).
% 38.94/25.39 tff(3850,plain,
% 38.94/25.39 ((~![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)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3851,plain,
% 38.94/25.39 ((~![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))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3850, 3849])).
% 38.94/25.39 tff(3852,plain,
% 38.94/25.39 (v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3851, 207, 3768])).
% 38.94/25.39 tff(3853,plain,
% 38.94/25.39 (v90(constB24, bitIndex0) | (~v90(constB25, bitIndex0))),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3852, 3780])).
% 38.94/25.39 tff(3854,plain,
% 38.94/25.39 (~v90(constB25, bitIndex0)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3853, 3845])).
% 38.94/25.39 tff(3855,plain,
% 38.94/25.39 (((~![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))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3856,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3857,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3856, 3855])).
% 38.94/25.39 tff(3858,plain,
% 38.94/25.39 (v125(constB25)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3857, 1308, 3854, 3820, 3789])).
% 38.94/25.39 tff(3859,plain,
% 38.94/25.39 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3860,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3861,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3860, 3859])).
% 38.94/25.39 tff(3862,plain,
% 38.94/25.39 (v113(constB25)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3861, 1294, 3858])).
% 38.94/25.39 tff(3863,assumption,(v26(constB25)), introduced(assumption)).
% 38.94/25.39 tff(3864,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3865,plain,
% 38.94/25.39 ($false),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3864, 86, 3863])).
% 38.94/25.39 tff(3866,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 38.94/25.39 tff(3867,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3868,plain,
% 38.94/25.39 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3869,plain,
% 38.94/25.39 (((~![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))))),
% 38.94/25.39 inference(monotonicity,[status(thm)],[3868])).
% 38.94/25.39 tff(3870,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(transitivity,[status(thm)],[3869, 3867])).
% 38.94/25.39 tff(3871,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3872,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 38.94/25.39 tff(3873,plain,
% 38.94/25.39 (v112(constB25) | (~v113(constB25))),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3872, 308, 3866])).
% 38.94/25.39 tff(3874,plain,
% 38.94/25.39 (v112(constB25)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3873, 3862])).
% 38.94/25.39 tff(3875,plain,
% 38.94/25.39 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3876,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3877,plain,
% 38.94/25.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 38.94/25.39 tff(3878,plain,
% 38.94/25.39 (v108(constB25)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3877, 320, 3874])).
% 38.94/25.39 tff(3879,plain,
% 38.94/25.39 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3880,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 38.94/25.39 tff(3881,plain,
% 38.94/25.39 (nextState(constB25, constB26)),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3880, 3879])).
% 38.94/25.39 tff(3882,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3883,plain,
% 38.94/25.39 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3884,plain,
% 38.94/25.39 (((~![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))))),
% 38.94/25.39 inference(monotonicity,[status(thm)],[3883])).
% 38.94/25.39 tff(3885,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(transitivity,[status(thm)],[3884, 3882])).
% 38.94/25.39 tff(3886,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3887,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3886, 3885])).
% 38.94/25.39 tff(3888,plain,
% 38.94/25.39 (v110(constB26) | (~v108(constB25))),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3887, 337, 3881])).
% 38.94/25.39 tff(3889,plain,
% 38.94/25.39 (v110(constB26)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3888, 3878])).
% 38.94/25.39 tff(3890,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3891,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3892,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3891, 3890])).
% 38.94/25.39 tff(3893,plain,
% 38.94/25.39 (~v104(constB26)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3892, 355, 3881, 3765])).
% 38.94/25.39 tff(3894,plain,
% 38.94/25.39 (((~![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))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3895,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3896,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 38.94/25.39 tff(3897,plain,
% 38.94/25.39 (v102(constB26) | v104(constB26)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3896, 369, 3881])).
% 38.94/25.39 tff(3898,plain,
% 38.94/25.39 (v102(constB26)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3897, 3893])).
% 38.94/25.39 tff(3899,plain,
% 38.94/25.39 (v1(constB26) <=> v1(constB26)),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3900,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 38.94/25.39 tff(3901,plain,
% 38.94/25.39 (v1(constB26)),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3900, 3899])).
% 38.94/25.39 tff(3902,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3903,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3904,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 38.94/25.39 tff(3905,plain,
% 38.94/25.39 (v101(constB26) | (~v102(constB26))),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3904, 387, 3881, 3901])).
% 38.94/25.39 tff(3906,plain,
% 38.94/25.39 (v101(constB26)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3905, 3898])).
% 38.94/25.39 tff(3907,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3908,plain,
% 38.94/25.39 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3909,plain,
% 38.94/25.39 (((~![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))))),
% 38.94/25.39 inference(monotonicity,[status(thm)],[3908])).
% 38.94/25.39 tff(3910,plain,
% 38.94/25.39 (((~![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)))),
% 38.94/25.39 inference(transitivity,[status(thm)],[3909, 3907])).
% 38.94/25.39 tff(3911,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3912,plain,
% 38.94/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 38.94/25.39 tff(3913,plain,
% 38.94/25.39 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3912, 402, 3881])).
% 38.94/25.39 tff(3914,plain,
% 38.94/25.39 (v100(constB26) | (~v110(constB26))),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3913, 3906])).
% 38.94/25.39 tff(3915,plain,
% 38.94/25.39 (v100(constB26)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3914, 3889])).
% 38.94/25.39 tff(3916,plain,
% 38.94/25.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3917,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3918,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 38.94/25.39 tff(3919,plain,
% 38.94/25.39 (~v123(constB25)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3918, 2626, 3820])).
% 38.94/25.39 tff(3920,plain,
% 38.94/25.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3921,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3922,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3921, 3920])).
% 38.94/25.39 tff(3923,plain,
% 38.94/25.39 (~v121(constB25)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3922, 2586, 3789])).
% 38.94/25.39 tff(3924,plain,
% 38.94/25.39 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3925,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3926,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3925, 3924])).
% 38.94/25.39 tff(3927,plain,
% 38.94/25.39 (~v119(constB25)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3926, 2604, 3820])).
% 38.94/25.39 tff(3928,plain,
% 38.94/25.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3929,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 38.94/25.39 inference(quant_inst,[status(thm)],[])).
% 38.94/25.39 tff(3930,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25))),
% 38.94/25.39 inference(modus_ponens,[status(thm)],[3929, 3928])).
% 38.94/25.39 tff(3931,plain,
% 38.94/25.39 (~v122(constB25)),
% 38.94/25.39 inference(unit_resolution,[status(thm)],[3930, 3526, 3789])).
% 38.94/25.39 tff(3932,plain,
% 38.94/25.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 38.94/25.39 inference(rewrite,[status(thm)],[])).
% 38.94/25.39 tff(3933,plain,
% 38.94/25.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 38.96/25.39 inference(quant_inst,[status(thm)],[])).
% 38.96/25.39 tff(3934,plain,
% 38.96/25.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25))),
% 38.96/25.39 inference(modus_ponens,[status(thm)],[3933, 3932])).
% 38.96/25.39 tff(3935,plain,
% 38.96/25.39 (~v124(constB25)),
% 38.96/25.39 inference(unit_resolution,[status(thm)],[3934, 2637, 3820])).
% 38.96/25.39 tff(3936,plain,
% 38.96/25.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 38.96/25.39 inference(rewrite,[status(thm)],[])).
% 38.96/25.39 tff(3937,plain,
% 38.96/25.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 38.96/25.39 inference(quant_inst,[status(thm)],[])).
% 38.96/25.39 tff(3938,plain,
% 38.96/25.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25))),
% 38.96/25.39 inference(modus_ponens,[status(thm)],[3937, 3936])).
% 38.96/25.39 tff(3939,plain,
% 38.96/25.39 (~v120(constB25)),
% 38.96/25.39 inference(unit_resolution,[status(thm)],[3938, 2615, 3820])).
% 38.96/25.39 tff(3940,plain,
% 38.96/25.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB25, bitIndex2)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB25, bitIndex2)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))),
% 38.96/25.39 inference(rewrite,[status(thm)],[])).
% 38.96/25.39 tff(3941,plain,
% 38.96/25.39 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2))) <=> ((~v130(constB25, bitIndex2)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))),
% 38.96/25.39 inference(rewrite,[status(thm)],[])).
% 38.96/25.39 tff(3942,plain,
% 38.96/25.39 (((~![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)))) | ((~v130(constB25, bitIndex2)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25)))),
% 38.96/25.39 inference(monotonicity,[status(thm)],[3941])).
% 38.96/25.39 tff(3943,plain,
% 38.96/25.39 (((~![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)))) | (~v130(constB25, bitIndex2)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))),
% 38.96/25.39 inference(transitivity,[status(thm)],[3942, 3940])).
% 38.96/25.39 tff(3944,plain,
% 38.96/25.39 ((~![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)))),
% 38.96/25.39 inference(quant_inst,[status(thm)],[])).
% 38.96/25.39 tff(3945,plain,
% 38.96/25.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB25, bitIndex2)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25)),
% 38.96/25.39 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 38.96/25.40 tff(3946,plain,
% 38.96/25.40 (~v130(constB25, bitIndex2)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3945, 1993, 3939, 3935, 3931, 3927, 3923, 3919])).
% 38.96/25.40 tff(3947,plain,
% 38.96/25.40 (((~![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))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3948,plain,
% 38.96/25.40 ((v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2))) <=> ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3949,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(monotonicity,[status(thm)],[3948])).
% 38.96/25.40 tff(3950,plain,
% 38.96/25.40 (((~![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))),
% 38.96/25.40 inference(transitivity,[status(thm)],[3949, 3947])).
% 38.96/25.40 tff(3951,plain,
% 38.96/25.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(3952,plain,
% 38.96/25.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 38.96/25.40 tff(3953,plain,
% 38.96/25.40 ((~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3952, 435, 3866])).
% 38.96/25.40 tff(3954,plain,
% 38.96/25.40 (~v127(constB25, bitIndex2)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3953, 3946])).
% 38.96/25.40 tff(3955,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3956,plain,
% 38.96/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(3957,plain,
% 38.96/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[3956, 3955])).
% 38.96/25.40 tff(3958,plain,
% 38.96/25.40 (v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3957, 453, 3881])).
% 38.96/25.40 tff(3959,plain,
% 38.96/25.40 (~v129(constB26, bitIndex2)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3958, 3954])).
% 38.96/25.40 tff(3960,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3961,plain,
% 38.96/25.40 (((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2)) <=> ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3962,plain,
% 38.96/25.40 (((~![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))))),
% 38.96/25.40 inference(monotonicity,[status(thm)],[3961])).
% 38.96/25.40 tff(3963,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(transitivity,[status(thm)],[3962, 3960])).
% 38.96/25.40 tff(3964,plain,
% 38.96/25.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(3965,plain,
% 38.96/25.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 38.96/25.40 tff(3966,plain,
% 38.96/25.40 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3965, 468, 3959])).
% 38.96/25.40 tff(3967,plain,
% 38.96/25.40 (~v90(constB26, bitIndex2)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3966, 3915])).
% 38.96/25.40 tff(3968,plain,
% 38.96/25.40 ((~v1(constB27)) <=> (~v1(constB27))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3969,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 38.96/25.40 tff(3970,plain,
% 38.96/25.40 (~v1(constB27)),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[3969, 3968])).
% 38.96/25.40 tff(3971,plain,
% 38.96/25.40 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3972,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 38.96/25.40 tff(3973,plain,
% 38.96/25.40 (nextState(constB26, constB27)),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[3972, 3971])).
% 38.96/25.40 tff(3974,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3975,plain,
% 38.96/25.40 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3976,plain,
% 38.96/25.40 (((~![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))))),
% 38.96/25.40 inference(monotonicity,[status(thm)],[3975])).
% 38.96/25.40 tff(3977,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(transitivity,[status(thm)],[3976, 3974])).
% 38.96/25.40 tff(3978,plain,
% 38.96/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(3979,plain,
% 38.96/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[3978, 3977])).
% 38.96/25.40 tff(3980,plain,
% 38.96/25.40 (~v101(constB27)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3979, 133, 3973, 3970])).
% 38.96/25.40 tff(3981,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3982,plain,
% 38.96/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(3983,plain,
% 38.96/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[3982, 3981])).
% 38.96/25.40 tff(3984,plain,
% 38.96/25.40 (v101(constB27) | (~v100(constB27))),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3983, 150, 3973])).
% 38.96/25.40 tff(3985,plain,
% 38.96/25.40 (~v100(constB27)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3984, 3980])).
% 38.96/25.40 tff(3986,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3987,plain,
% 38.96/25.40 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))) <=> (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3988,plain,
% 38.96/25.40 (((~![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))))),
% 38.96/25.40 inference(monotonicity,[status(thm)],[3987])).
% 38.96/25.40 tff(3989,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(transitivity,[status(thm)],[3988, 3986])).
% 38.96/25.40 tff(3990,plain,
% 38.96/25.40 ((~![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)))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(3991,plain,
% 38.96/25.40 ((~![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))),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[3990, 3989])).
% 38.96/25.40 tff(3992,plain,
% 38.96/25.40 (v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3991, 165, 3973])).
% 38.96/25.40 tff(3993,plain,
% 38.96/25.40 (v90(constB26, bitIndex2) | (~v90(constB27, bitIndex2))),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3992, 3985])).
% 38.96/25.40 tff(3994,plain,
% 38.96/25.40 (~v90(constB27, bitIndex2)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[3993, 3967])).
% 38.96/25.40 tff(3995,plain,
% 38.96/25.40 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB25, bitIndex1)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB25, bitIndex1)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3996,plain,
% 38.96/25.40 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1))) <=> ((~v130(constB25, bitIndex1)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(3997,plain,
% 38.96/25.40 (((~![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)))) | ((~v130(constB25, bitIndex1)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25)))),
% 38.96/25.40 inference(monotonicity,[status(thm)],[3996])).
% 38.96/25.40 tff(3998,plain,
% 38.96/25.40 (((~![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)))) | (~v130(constB25, bitIndex1)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))),
% 38.96/25.40 inference(transitivity,[status(thm)],[3997, 3995])).
% 38.96/25.40 tff(3999,plain,
% 38.96/25.40 ((~![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)))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(4000,plain,
% 38.96/25.40 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB25, bitIndex1)) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25)),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[3999, 3998])).
% 38.96/25.40 tff(4001,plain,
% 38.96/25.40 (~v130(constB25, bitIndex1)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4000, 1562, 3939, 3935, 3931, 3927, 3923, 3919])).
% 38.96/25.40 tff(4002,plain,
% 38.96/25.40 (((~![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))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(4003,plain,
% 38.96/25.40 ((v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1))) <=> ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(4004,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(monotonicity,[status(thm)],[4003])).
% 38.96/25.40 tff(4005,plain,
% 38.96/25.40 (((~![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))),
% 38.96/25.40 inference(transitivity,[status(thm)],[4004, 4002])).
% 38.96/25.40 tff(4006,plain,
% 38.96/25.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(4007,plain,
% 38.96/25.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[4006, 4005])).
% 38.96/25.40 tff(4008,plain,
% 38.96/25.40 ((~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4007, 527, 3866])).
% 38.96/25.40 tff(4009,plain,
% 38.96/25.40 (~v127(constB25, bitIndex1)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4008, 4001])).
% 38.96/25.40 tff(4010,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(4011,plain,
% 38.96/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(4012,plain,
% 38.96/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 38.96/25.40 tff(4013,plain,
% 38.96/25.40 (v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4012, 545, 3881])).
% 38.96/25.40 tff(4014,plain,
% 38.96/25.40 (~v129(constB26, bitIndex1)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4013, 4009])).
% 38.96/25.40 tff(4015,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(4016,plain,
% 38.96/25.40 (((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(4017,plain,
% 38.96/25.40 (((~![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))))),
% 38.96/25.40 inference(monotonicity,[status(thm)],[4016])).
% 38.96/25.40 tff(4018,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(transitivity,[status(thm)],[4017, 4015])).
% 38.96/25.40 tff(4019,plain,
% 38.96/25.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(4020,plain,
% 38.96/25.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 38.96/25.40 tff(4021,plain,
% 38.96/25.40 ((~v90(constB26, bitIndex1)) | (~v100(constB26))),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4020, 560, 4014])).
% 38.96/25.40 tff(4022,plain,
% 38.96/25.40 (~v90(constB26, bitIndex1)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4021, 3915])).
% 38.96/25.40 tff(4023,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(4024,plain,
% 38.96/25.40 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))) <=> (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(4025,plain,
% 38.96/25.40 (((~![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))))),
% 38.96/25.40 inference(monotonicity,[status(thm)],[4024])).
% 38.96/25.40 tff(4026,plain,
% 38.96/25.40 (((~![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)))),
% 38.96/25.40 inference(transitivity,[status(thm)],[4025, 4023])).
% 38.96/25.40 tff(4027,plain,
% 38.96/25.40 ((~![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)))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(4028,plain,
% 38.96/25.40 ((~![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))),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[4027, 4026])).
% 38.96/25.40 tff(4029,plain,
% 38.96/25.40 (v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4028, 186, 3973])).
% 38.96/25.40 tff(4030,plain,
% 38.96/25.40 (v90(constB26, bitIndex1) | (~v90(constB27, bitIndex1))),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4029, 3985])).
% 38.96/25.40 tff(4031,plain,
% 38.96/25.40 (~v90(constB27, bitIndex1)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4030, 4022])).
% 38.96/25.40 tff(4032,plain,
% 38.96/25.40 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB25, bitIndex0) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB25, bitIndex0) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(4033,plain,
% 38.96/25.40 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0)) <=> (v130(constB25, bitIndex0) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(4034,plain,
% 38.96/25.40 (((~![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))) | (v130(constB25, bitIndex0) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25)))),
% 38.96/25.40 inference(monotonicity,[status(thm)],[4033])).
% 38.96/25.40 tff(4035,plain,
% 38.96/25.40 (((~![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))) | v130(constB25, bitIndex0) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25))),
% 38.96/25.40 inference(transitivity,[status(thm)],[4034, 4032])).
% 38.96/25.40 tff(4036,plain,
% 38.96/25.40 ((~![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))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(4037,plain,
% 38.96/25.40 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB25, bitIndex0) | v124(constB25) | v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25)),
% 38.96/25.40 inference(modus_ponens,[status(thm)],[4036, 4035])).
% 38.96/25.40 tff(4038,plain,
% 38.96/25.40 (v130(constB25, bitIndex0)),
% 38.96/25.40 inference(unit_resolution,[status(thm)],[4037, 2753, 3939, 3935, 3931, 3927, 3923, 3919])).
% 38.96/25.40 tff(4039,plain,
% 38.96/25.40 (((~![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))),
% 38.96/25.40 inference(rewrite,[status(thm)],[])).
% 38.96/25.40 tff(4040,plain,
% 38.96/25.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 38.96/25.40 inference(quant_inst,[status(thm)],[])).
% 38.96/25.40 tff(4041,plain,
% 38.96/25.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4040, 4039])).
% 38.96/25.41 tff(4042,plain,
% 38.96/25.41 ((~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4041, 601, 3866])).
% 38.96/25.41 tff(4043,plain,
% 38.96/25.41 (v127(constB25, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4042, 4038])).
% 38.96/25.41 tff(4044,plain,
% 38.96/25.41 (((~![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))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4045,plain,
% 38.96/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4046,plain,
% 38.96/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4045, 4044])).
% 38.96/25.41 tff(4047,plain,
% 38.96/25.41 ((~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4046, 616, 3881])).
% 38.96/25.41 tff(4048,plain,
% 38.96/25.41 (v129(constB26, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4047, 4043])).
% 38.96/25.41 tff(4049,plain,
% 38.96/25.41 (((~![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)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4050,plain,
% 38.96/25.41 ((v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4051,plain,
% 38.96/25.41 (((~![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))))),
% 38.96/25.41 inference(monotonicity,[status(thm)],[4050])).
% 38.96/25.41 tff(4052,plain,
% 38.96/25.41 (((~![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)))),
% 38.96/25.41 inference(transitivity,[status(thm)],[4051, 4049])).
% 38.96/25.41 tff(4053,plain,
% 38.96/25.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4054,plain,
% 38.96/25.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4053, 4052])).
% 38.96/25.41 tff(4055,plain,
% 38.96/25.41 (v90(constB26, bitIndex0) | (~v100(constB26))),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4054, 631, 4048])).
% 38.96/25.41 tff(4056,plain,
% 38.96/25.41 (v90(constB26, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4055, 3915])).
% 38.96/25.41 tff(4057,plain,
% 38.96/25.41 (((~![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))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4058,plain,
% 38.96/25.41 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4059,plain,
% 38.96/25.41 (((~![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)))),
% 38.96/25.41 inference(monotonicity,[status(thm)],[4058])).
% 38.96/25.41 tff(4060,plain,
% 38.96/25.41 (((~![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))),
% 38.96/25.41 inference(transitivity,[status(thm)],[4059, 4057])).
% 38.96/25.41 tff(4061,plain,
% 38.96/25.41 ((~![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))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4062,plain,
% 38.96/25.41 ((~![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)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4061, 4060])).
% 38.96/25.41 tff(4063,plain,
% 38.96/25.41 ((~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4062, 649, 3973])).
% 38.96/25.41 tff(4064,plain,
% 38.96/25.41 ((~v90(constB26, bitIndex0)) | v90(constB27, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4063, 3985])).
% 38.96/25.41 tff(4065,plain,
% 38.96/25.41 (v90(constB27, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4064, 4056])).
% 38.96/25.41 tff(4066,plain,
% 38.96/25.41 (((~![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))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4067,plain,
% 38.96/25.41 (((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)) <=> ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4068,plain,
% 38.96/25.41 (((~![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)))),
% 38.96/25.41 inference(monotonicity,[status(thm)],[4067])).
% 38.96/25.41 tff(4069,plain,
% 38.96/25.41 (((~![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))),
% 38.96/25.41 inference(transitivity,[status(thm)],[4068, 4066])).
% 38.96/25.41 tff(4070,plain,
% 38.96/25.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4071,plain,
% 38.96/25.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4070, 4069])).
% 38.96/25.41 tff(4072,plain,
% 38.96/25.41 (v120(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4071, 668, 4065, 4031, 3994])).
% 38.96/25.41 tff(4073,plain,
% 38.96/25.41 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4074,plain,
% 38.96/25.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4075,plain,
% 38.96/25.41 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4074, 4073])).
% 38.96/25.41 tff(4076,plain,
% 38.96/25.41 (~v130(constB27, bitIndex2)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4075, 685, 4072])).
% 38.96/25.41 tff(4077,assumption,(v26(constB27)), introduced(assumption)).
% 38.96/25.41 tff(4078,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4079,plain,
% 38.96/25.41 ($false),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4078, 86, 4077])).
% 38.96/25.41 tff(4080,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 38.96/25.41 tff(4081,plain,
% 38.96/25.41 (((~![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))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4082,plain,
% 38.96/25.41 ((v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2))) <=> ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4083,plain,
% 38.96/25.41 (((~![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)))),
% 38.96/25.41 inference(monotonicity,[status(thm)],[4082])).
% 38.96/25.41 tff(4084,plain,
% 38.96/25.41 (((~![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))),
% 38.96/25.41 inference(transitivity,[status(thm)],[4083, 4081])).
% 38.96/25.41 tff(4085,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4086,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4085, 4084])).
% 38.96/25.41 tff(4087,plain,
% 38.96/25.41 ((~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4086, 435, 4080])).
% 38.96/25.41 tff(4088,plain,
% 38.96/25.41 (~v127(constB27, bitIndex2)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4087, 4076])).
% 38.96/25.41 tff(4089,plain,
% 38.96/25.41 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4090,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 38.96/25.41 tff(4091,plain,
% 38.96/25.41 (nextState(constB27, constB28)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4090, 4089])).
% 38.96/25.41 tff(4092,plain,
% 38.96/25.41 (((~![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)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4093,plain,
% 38.96/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4094,plain,
% 38.96/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 38.96/25.41 tff(4095,plain,
% 38.96/25.41 (v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4094, 453, 4091])).
% 38.96/25.41 tff(4096,plain,
% 38.96/25.41 (~v129(constB28, bitIndex2)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4095, 4088])).
% 38.96/25.41 tff(4097,assumption,(~v90(constB25, bitIndex0)), introduced(assumption)).
% 38.96/25.41 tff(4098,assumption,(~v113(constB27)), introduced(assumption)).
% 38.96/25.41 tff(4099,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB27) | (~v125(constB27)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB27) | (~v125(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4100,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB27) | (~v125(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4101,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB27) | (~v125(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4100, 4099])).
% 38.96/25.41 tff(4102,plain,
% 38.96/25.41 (~v125(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4101, 1294, 4098])).
% 38.96/25.41 tff(4103,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4104,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4105,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 38.96/25.41 tff(4106,plain,
% 38.96/25.41 (~v114(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4105, 294, 4098])).
% 38.96/25.41 tff(4107,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4108,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4109,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4108, 4107])).
% 38.96/25.41 tff(4110,plain,
% 38.96/25.41 (~v115(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4109, 283, 4106])).
% 38.96/25.41 tff(4111,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB27) | (~v123(constB27)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB27) | (~v123(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4112,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB27) | (~v123(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4113,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB27) | (~v123(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4112, 4111])).
% 38.96/25.41 tff(4114,plain,
% 38.96/25.41 (~v123(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4113, 1247, 4110])).
% 38.96/25.41 tff(4115,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4116,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4117,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4116, 4115])).
% 38.96/25.41 tff(4118,plain,
% 38.96/25.41 (~v116(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4117, 272, 4110])).
% 38.96/25.41 tff(4119,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4120,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4121,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4120, 4119])).
% 38.96/25.41 tff(4122,plain,
% 38.96/25.41 (~v117(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4121, 261, 4118])).
% 38.96/25.41 tff(4123,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4124,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4125,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4124, 4123])).
% 38.96/25.41 tff(4126,plain,
% 38.96/25.41 (~v118(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4125, 250, 4122])).
% 38.96/25.41 tff(4127,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4128,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4129,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 38.96/25.41 tff(4130,plain,
% 38.96/25.41 (~v120(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4129, 778, 4126])).
% 38.96/25.41 tff(4131,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB27) | (~v119(constB27)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB27) | (~v119(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4132,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB27) | (~v119(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4133,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB27) | (~v119(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4132, 4131])).
% 38.96/25.41 tff(4134,plain,
% 38.96/25.41 (~v119(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4133, 239, 4126])).
% 38.96/25.41 tff(4135,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB27) | (~v122(constB27)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB27) | (~v122(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4136,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB27) | (~v122(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4137,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB27) | (~v122(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 38.96/25.41 tff(4138,plain,
% 38.96/25.41 (~v122(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4137, 1149, 4118])).
% 38.96/25.41 tff(4139,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB27) | (~v121(constB27)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB27) | (~v121(constB27)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4140,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB27) | (~v121(constB27)))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4141,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB27) | (~v121(constB27))),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4140, 4139])).
% 38.96/25.41 tff(4142,plain,
% 38.96/25.41 (~v121(constB27)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4141, 1130, 4122])).
% 38.96/25.41 tff(4143,assumption,(~v90(constB27, bitIndex2)), introduced(assumption)).
% 38.96/25.41 tff(4144,assumption,(~v120(constB27)), introduced(assumption)).
% 38.96/25.41 tff(4145,assumption,(~v119(constB27)), introduced(assumption)).
% 38.96/25.41 tff(4146,assumption,(~v90(constB27, bitIndex1)), introduced(assumption)).
% 38.96/25.41 tff(4147,plain,
% 38.96/25.41 ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4071, 668, 4144])).
% 38.96/25.41 tff(4148,plain,
% 38.96/25.41 (~v90(constB27, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4147, 4146, 4143])).
% 38.96/25.41 tff(4149,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB27) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB27) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4150,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB27) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4151,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB27) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 38.96/25.41 tff(4152,plain,
% 38.96/25.41 (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4151, 228, 4145])).
% 38.96/25.41 tff(4153,plain,
% 38.96/25.41 ($false),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4152, 4148, 4146, 4143])).
% 38.96/25.41 tff(4154,plain,(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27) | v120(constB27)), inference(lemma,lemma(discharge,[]))).
% 38.96/25.41 tff(4155,plain,
% 38.96/25.41 (v90(constB27, bitIndex1)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4154, 4143, 4145, 4144])).
% 38.96/25.41 tff(4156,assumption,(~v122(constB27)), introduced(assumption)).
% 38.96/25.41 tff(4157,plain,
% 38.96/25.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4158,plain,
% 38.96/25.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4159,plain,
% 38.96/25.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4158, 4157])).
% 38.96/25.41 tff(4160,plain,
% 38.96/25.41 ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4159, 1184, 4156])).
% 38.96/25.41 tff(4161,plain,
% 38.96/25.41 (~v90(constB27, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4160, 4155, 4143])).
% 38.96/25.41 tff(4162,assumption,(~v121(constB27)), introduced(assumption)).
% 38.96/25.41 tff(4163,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4164,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4165,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4164, 4163])).
% 38.96/25.41 tff(4166,plain,
% 38.96/25.41 (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4165, 996, 4162])).
% 38.96/25.41 tff(4167,plain,
% 38.96/25.41 ($false),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4166, 4161, 4155, 4143])).
% 38.96/25.41 tff(4168,plain,(v90(constB27, bitIndex2) | v121(constB27) | v122(constB27) | v119(constB27) | v120(constB27)), inference(lemma,lemma(discharge,[]))).
% 38.96/25.41 tff(4169,plain,
% 38.96/25.41 (v90(constB27, bitIndex2)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4168, 4142, 4138, 4134, 4130])).
% 38.96/25.41 tff(4170,assumption,(v90(constB27, bitIndex2)), introduced(assumption)).
% 38.96/25.41 tff(4171,assumption,(~v90(constB27, bitIndex0)), introduced(assumption)).
% 38.96/25.41 tff(4172,assumption,(~v125(constB27)), introduced(assumption)).
% 38.96/25.41 tff(4173,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | (~v90(constB27, bitIndex2)) | v125(constB27))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | (~v90(constB27, bitIndex2)) | v125(constB27))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4174,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | (~v90(constB27, bitIndex2)) | v125(constB27))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4175,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | (~v90(constB27, bitIndex2)) | v125(constB27)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4174, 4173])).
% 38.96/25.41 tff(4176,plain,
% 38.96/25.41 (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | (~v90(constB27, bitIndex2))),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4175, 1308, 4172])).
% 38.96/25.41 tff(4177,plain,
% 38.96/25.41 (~v90(constB27, bitIndex1)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4176, 4171, 4170])).
% 38.96/25.41 tff(4178,assumption,(~v123(constB27)), introduced(assumption)).
% 38.96/25.41 tff(4179,plain,
% 38.96/25.41 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v123(constB27))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v123(constB27))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4180,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v123(constB27))),
% 38.96/25.41 inference(quant_inst,[status(thm)],[])).
% 38.96/25.41 tff(4181,plain,
% 38.96/25.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v123(constB27)),
% 38.96/25.41 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 38.96/25.41 tff(4182,plain,
% 38.96/25.41 (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2))),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4181, 1280, 4178])).
% 38.96/25.41 tff(4183,plain,
% 38.96/25.41 ($false),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4182, 4177, 4171, 4170])).
% 38.96/25.41 tff(4184,plain,(v90(constB27, bitIndex0) | (~v90(constB27, bitIndex2)) | v123(constB27) | v125(constB27)), inference(lemma,lemma(discharge,[]))).
% 38.96/25.41 tff(4185,plain,
% 38.96/25.41 (v90(constB27, bitIndex0)),
% 38.96/25.41 inference(unit_resolution,[status(thm)],[4184, 4169, 4114, 4102])).
% 38.96/25.41 tff(4186,plain,
% 38.96/25.41 (((~![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)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4187,plain,
% 38.96/25.41 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 38.96/25.41 inference(rewrite,[status(thm)],[])).
% 38.96/25.41 tff(4188,plain,
% 38.96/25.41 (((~![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))))),
% 38.96/25.41 inference(monotonicity,[status(thm)],[4187])).
% 38.96/25.41 tff(4189,plain,
% 38.96/25.41 (((~![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)))),
% 38.98/25.42 inference(transitivity,[status(thm)],[4188, 4186])).
% 38.98/25.42 tff(4190,plain,
% 38.98/25.42 ((~![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)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4191,plain,
% 38.98/25.42 ((~![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))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4190, 4189])).
% 38.98/25.42 tff(4192,plain,
% 38.98/25.42 (v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4191, 207, 3973])).
% 38.98/25.42 tff(4193,plain,
% 38.98/25.42 (v90(constB26, bitIndex0) | (~v90(constB27, bitIndex0))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4192, 3985])).
% 38.98/25.42 tff(4194,plain,
% 38.98/25.42 (v90(constB26, bitIndex0)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4193, 4185])).
% 38.98/25.42 tff(4195,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4196,plain,
% 38.98/25.42 (((~nextState(constB25, constB26)) | v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0))) <=> (v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4197,plain,
% 38.98/25.42 (((~![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))))),
% 38.98/25.42 inference(monotonicity,[status(thm)],[4196])).
% 38.98/25.42 tff(4198,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(transitivity,[status(thm)],[4197, 4195])).
% 38.98/25.42 tff(4199,plain,
% 38.98/25.42 ((~![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)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4200,plain,
% 38.98/25.42 ((~![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))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4199, 4198])).
% 38.98/25.42 tff(4201,plain,
% 38.98/25.42 (v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4200, 207, 3881])).
% 38.98/25.42 tff(4202,plain,
% 38.98/25.42 (v100(constB26)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4201, 4194, 4097])).
% 38.98/25.42 tff(4203,plain,
% 38.98/25.42 (v90(constB26, bitIndex2)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[3993, 4169])).
% 38.98/25.42 tff(4204,plain,
% 38.98/25.42 (v129(constB26, bitIndex2) | (~v100(constB26))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[3965, 468, 4203])).
% 38.98/25.42 tff(4205,plain,
% 38.98/25.42 (v129(constB26, bitIndex2)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4204, 4202])).
% 38.98/25.42 tff(4206,plain,
% 38.98/25.42 (v127(constB25, bitIndex2)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[3958, 4205])).
% 38.98/25.42 tff(4207,plain,
% 38.98/25.42 (v130(constB25, bitIndex2)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[3953, 4206])).
% 38.98/25.42 tff(4208,plain,
% 38.98/25.42 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB25)) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB25)) | (~v130(constB25, bitIndex2)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4209,plain,
% 38.98/25.42 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB25)) | (~v130(constB25, bitIndex2)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4210,plain,
% 38.98/25.42 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB25)) | (~v130(constB25, bitIndex2))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4209, 4208])).
% 38.98/25.42 tff(4211,plain,
% 38.98/25.42 (~v119(constB25)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4210, 421, 4207])).
% 38.98/25.42 tff(4212,plain,
% 38.98/25.42 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v130(constB25, bitIndex2)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4213,plain,
% 38.98/25.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v130(constB25, bitIndex2)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4214,plain,
% 38.98/25.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v130(constB25, bitIndex2))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4213, 4212])).
% 38.98/25.42 tff(4215,plain,
% 38.98/25.42 (~v121(constB25)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4214, 1102, 4207])).
% 38.98/25.42 tff(4216,plain,
% 38.98/25.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB25, bitIndex0) | (~v122(constB25)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB25, bitIndex0) | (~v122(constB25)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4217,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB25, bitIndex0) | (~v122(constB25)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4218,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB25, bitIndex0) | (~v122(constB25))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 38.98/25.42 tff(4219,plain,
% 38.98/25.42 (~v122(constB25)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4218, 1968, 4097])).
% 38.98/25.42 tff(4220,plain,
% 38.98/25.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB25, bitIndex0) | (~v124(constB25)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB25, bitIndex0) | (~v124(constB25)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4221,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB25, bitIndex0) | (~v124(constB25)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4222,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB25, bitIndex0) | (~v124(constB25))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 38.98/25.42 tff(4223,plain,
% 38.98/25.42 (~v124(constB25)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4222, 1979, 4097])).
% 38.98/25.42 tff(4224,assumption,(~v120(constB25)), introduced(assumption)).
% 38.98/25.42 tff(4225,plain,
% 38.98/25.42 ((~v130(constB25, bitIndex2)) | v119(constB25) | v121(constB25) | v123(constB25)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[3945, 1993, 4224, 4223, 4219])).
% 38.98/25.42 tff(4226,plain,
% 38.98/25.42 (v123(constB25)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4225, 4215, 4207, 4211])).
% 38.98/25.42 tff(4227,plain,
% 38.98/25.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB27) | (~v124(constB27)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB27) | (~v124(constB27)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4228,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB27) | (~v124(constB27)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4229,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB27) | (~v124(constB27))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4228, 4227])).
% 38.98/25.42 tff(4230,plain,
% 38.98/25.42 (~v124(constB27)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4229, 1236, 4106])).
% 38.98/25.42 tff(4231,plain,
% 38.98/25.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4232,plain,
% 38.98/25.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4233,plain,
% 38.98/25.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2)) | v124(constB27)),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4232, 4231])).
% 38.98/25.42 tff(4234,plain,
% 38.98/25.42 ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex2))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4233, 1264, 4230])).
% 38.98/25.42 tff(4235,plain,
% 38.98/25.42 (v90(constB27, bitIndex1)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4234, 4185, 4169])).
% 38.98/25.42 tff(4236,plain,
% 38.98/25.42 (v90(constB26, bitIndex1)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4030, 4235])).
% 38.98/25.42 tff(4237,plain,
% 38.98/25.42 (v129(constB26, bitIndex1)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4020, 560, 4202, 4236])).
% 38.98/25.42 tff(4238,plain,
% 38.98/25.42 (v127(constB25, bitIndex1)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4013, 4237])).
% 38.98/25.42 tff(4239,plain,
% 38.98/25.42 (v130(constB25, bitIndex1)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4008, 4238])).
% 38.98/25.42 tff(4240,plain,
% 38.98/25.42 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB25)) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB25)) | (~v130(constB25, bitIndex1)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4241,plain,
% 38.98/25.42 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB25)) | (~v130(constB25, bitIndex1)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4242,plain,
% 38.98/25.42 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB25)) | (~v130(constB25, bitIndex1))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4241, 4240])).
% 38.98/25.42 tff(4243,plain,
% 38.98/25.42 ($false),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4242, 1579, 4239, 4226])).
% 38.98/25.42 tff(4244,plain,(v113(constB27) | v120(constB25) | v90(constB25, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 38.98/25.42 tff(4245,plain,
% 38.98/25.42 (v113(constB27)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4244, 3939, 3854])).
% 38.98/25.42 tff(4246,plain,
% 38.98/25.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | v112(constB27) | (~v113(constB27)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | v112(constB27) | (~v113(constB27)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4247,plain,
% 38.98/25.42 ((v26(constB27) | (~v113(constB27)) | v112(constB27)) <=> (v26(constB27) | v112(constB27) | (~v113(constB27)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4248,plain,
% 38.98/25.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | v112(constB27) | (~v113(constB27))))),
% 38.98/25.42 inference(monotonicity,[status(thm)],[4247])).
% 38.98/25.42 tff(4249,plain,
% 38.98/25.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | v112(constB27) | (~v113(constB27)))),
% 38.98/25.42 inference(transitivity,[status(thm)],[4248, 4246])).
% 38.98/25.42 tff(4250,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4251,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | v112(constB27) | (~v113(constB27))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 38.98/25.42 tff(4252,plain,
% 38.98/25.42 (v112(constB27) | (~v113(constB27))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4251, 308, 4080])).
% 38.98/25.42 tff(4253,plain,
% 38.98/25.42 (v112(constB27)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4252, 4245])).
% 38.98/25.42 tff(4254,plain,
% 38.98/25.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4255,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4256,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4255, 4254])).
% 38.98/25.42 tff(4257,plain,
% 38.98/25.42 (v108(constB27)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4256, 320, 4253])).
% 38.98/25.42 tff(4258,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4259,plain,
% 38.98/25.42 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4260,plain,
% 38.98/25.42 (((~![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))))),
% 38.98/25.42 inference(monotonicity,[status(thm)],[4259])).
% 38.98/25.42 tff(4261,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(transitivity,[status(thm)],[4260, 4258])).
% 38.98/25.42 tff(4262,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4263,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 38.98/25.42 tff(4264,plain,
% 38.98/25.42 (v110(constB28) | (~v108(constB27))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4263, 337, 4091])).
% 38.98/25.42 tff(4265,plain,
% 38.98/25.42 (v110(constB28)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4264, 4257])).
% 38.98/25.42 tff(4266,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4267,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4268,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4267, 4266])).
% 38.98/25.42 tff(4269,plain,
% 38.98/25.42 (~v104(constB28)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4268, 355, 4091, 3970])).
% 38.98/25.42 tff(4270,plain,
% 38.98/25.42 (((~![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))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4271,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4272,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 38.98/25.42 tff(4273,plain,
% 38.98/25.42 (v102(constB28) | v104(constB28)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4272, 369, 4091])).
% 38.98/25.42 tff(4274,plain,
% 38.98/25.42 (v102(constB28)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4273, 4269])).
% 38.98/25.42 tff(4275,plain,
% 38.98/25.42 (v1(constB28) <=> v1(constB28)),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4276,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 38.98/25.42 tff(4277,plain,
% 38.98/25.42 (v1(constB28)),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4276, 4275])).
% 38.98/25.42 tff(4278,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4279,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4280,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4279, 4278])).
% 38.98/25.42 tff(4281,plain,
% 38.98/25.42 (v101(constB28) | (~v102(constB28))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4280, 387, 4091, 4277])).
% 38.98/25.42 tff(4282,plain,
% 38.98/25.42 (v101(constB28)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4281, 4274])).
% 38.98/25.42 tff(4283,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4284,plain,
% 38.98/25.42 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4285,plain,
% 38.98/25.42 (((~![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))))),
% 38.98/25.42 inference(monotonicity,[status(thm)],[4284])).
% 38.98/25.42 tff(4286,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(transitivity,[status(thm)],[4285, 4283])).
% 38.98/25.42 tff(4287,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4288,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 38.98/25.42 tff(4289,plain,
% 38.98/25.42 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4288, 402, 4091])).
% 38.98/25.42 tff(4290,plain,
% 38.98/25.42 (v100(constB28) | (~v110(constB28))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4289, 4282])).
% 38.98/25.42 tff(4291,plain,
% 38.98/25.42 (v100(constB28)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4290, 4265])).
% 38.98/25.42 tff(4292,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4293,plain,
% 38.98/25.42 (((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2)) <=> ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4294,plain,
% 38.98/25.42 (((~![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))))),
% 38.98/25.42 inference(monotonicity,[status(thm)],[4293])).
% 38.98/25.42 tff(4295,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(transitivity,[status(thm)],[4294, 4292])).
% 38.98/25.42 tff(4296,plain,
% 38.98/25.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4297,plain,
% 38.98/25.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4296, 4295])).
% 38.98/25.42 tff(4298,plain,
% 38.98/25.42 ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4297, 468, 4291])).
% 38.98/25.42 tff(4299,plain,
% 38.98/25.42 (~v90(constB28, bitIndex2)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4298, 4096])).
% 38.98/25.42 tff(4300,plain,
% 38.98/25.42 ((~v1(constB29)) <=> (~v1(constB29))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4301,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 38.98/25.42 tff(4302,plain,
% 38.98/25.42 (~v1(constB29)),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4301, 4300])).
% 38.98/25.42 tff(4303,plain,
% 38.98/25.42 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4304,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 38.98/25.42 tff(4305,plain,
% 38.98/25.42 (nextState(constB28, constB29)),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4304, 4303])).
% 38.98/25.42 tff(4306,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4307,plain,
% 38.98/25.42 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4308,plain,
% 38.98/25.42 (((~![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))))),
% 38.98/25.42 inference(monotonicity,[status(thm)],[4307])).
% 38.98/25.42 tff(4309,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(transitivity,[status(thm)],[4308, 4306])).
% 38.98/25.42 tff(4310,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4311,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 38.98/25.42 tff(4312,plain,
% 38.98/25.42 (~v101(constB29)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4311, 133, 4305, 4302])).
% 38.98/25.42 tff(4313,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4314,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4315,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 38.98/25.42 tff(4316,plain,
% 38.98/25.42 (v101(constB29) | (~v100(constB29))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4315, 150, 4305])).
% 38.98/25.42 tff(4317,plain,
% 38.98/25.42 (~v100(constB29)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4316, 4312])).
% 38.98/25.42 tff(4318,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4319,plain,
% 38.98/25.42 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4320,plain,
% 38.98/25.42 (((~![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))))),
% 38.98/25.42 inference(monotonicity,[status(thm)],[4319])).
% 38.98/25.42 tff(4321,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(transitivity,[status(thm)],[4320, 4318])).
% 38.98/25.42 tff(4322,plain,
% 38.98/25.42 ((~![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)))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4323,plain,
% 38.98/25.42 ((~![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))),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4322, 4321])).
% 38.98/25.42 tff(4324,plain,
% 38.98/25.42 (v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4323, 165, 4305])).
% 38.98/25.42 tff(4325,plain,
% 38.98/25.42 (v90(constB28, bitIndex2) | (~v90(constB29, bitIndex2))),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4324, 4317])).
% 38.98/25.42 tff(4326,plain,
% 38.98/25.42 (~v90(constB29, bitIndex2)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4325, 4299])).
% 38.98/25.42 tff(4327,plain,
% 38.98/25.42 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4328,plain,
% 38.98/25.42 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4329,plain,
% 38.98/25.42 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1)),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4328, 4327])).
% 38.98/25.42 tff(4330,plain,
% 38.98/25.42 (v130(constB27, bitIndex1)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4329, 868, 4072])).
% 38.98/25.42 tff(4331,plain,
% 38.98/25.42 (((~![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))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4332,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4333,plain,
% 38.98/25.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4332, 4331])).
% 38.98/25.42 tff(4334,plain,
% 38.98/25.42 ((~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4333, 882, 4080])).
% 38.98/25.42 tff(4335,plain,
% 38.98/25.42 (v127(constB27, bitIndex1)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4334, 4330])).
% 38.98/25.42 tff(4336,plain,
% 38.98/25.42 (((~![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))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4337,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 38.98/25.42 inference(quant_inst,[status(thm)],[])).
% 38.98/25.42 tff(4338,plain,
% 38.98/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 38.98/25.42 inference(modus_ponens,[status(thm)],[4337, 4336])).
% 38.98/25.42 tff(4339,plain,
% 38.98/25.42 ((~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4338, 897, 4091])).
% 38.98/25.42 tff(4340,plain,
% 38.98/25.42 (v129(constB28, bitIndex1)),
% 38.98/25.42 inference(unit_resolution,[status(thm)],[4339, 4335])).
% 38.98/25.42 tff(4341,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4342,plain,
% 38.98/25.42 ((v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 38.98/25.42 inference(rewrite,[status(thm)],[])).
% 38.98/25.42 tff(4343,plain,
% 38.98/25.42 (((~![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))))),
% 38.98/25.42 inference(monotonicity,[status(thm)],[4342])).
% 38.98/25.42 tff(4344,plain,
% 38.98/25.42 (((~![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)))),
% 38.98/25.43 inference(transitivity,[status(thm)],[4343, 4341])).
% 38.98/25.43 tff(4345,plain,
% 38.98/25.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4346,plain,
% 38.98/25.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 38.98/25.43 tff(4347,plain,
% 38.98/25.43 (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1))),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4346, 912, 4291])).
% 38.98/25.43 tff(4348,plain,
% 38.98/25.43 (v90(constB28, bitIndex1)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4347, 4340])).
% 38.98/25.43 tff(4349,plain,
% 38.98/25.43 (((~![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))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4350,plain,
% 38.98/25.43 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4351,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(monotonicity,[status(thm)],[4350])).
% 38.98/25.43 tff(4352,plain,
% 38.98/25.43 (((~![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))),
% 38.98/25.43 inference(transitivity,[status(thm)],[4351, 4349])).
% 38.98/25.43 tff(4353,plain,
% 38.98/25.43 ((~![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))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4354,plain,
% 38.98/25.43 ((~![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)),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 38.98/25.43 tff(4355,plain,
% 38.98/25.43 ((~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4354, 1049, 4305])).
% 38.98/25.43 tff(4356,plain,
% 38.98/25.43 ((~v90(constB28, bitIndex1)) | v90(constB29, bitIndex1)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4355, 4317])).
% 38.98/25.43 tff(4357,plain,
% 38.98/25.43 (v90(constB29, bitIndex1)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4356, 4348])).
% 38.98/25.43 tff(4358,plain,
% 38.98/25.43 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4359,plain,
% 38.98/25.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4360,plain,
% 38.98/25.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4359, 4358])).
% 38.98/25.43 tff(4361,plain,
% 38.98/25.43 (~v130(constB27, bitIndex0)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4360, 930, 4072])).
% 38.98/25.43 tff(4362,plain,
% 38.98/25.43 (((~![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))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4363,plain,
% 38.98/25.43 ((v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0))) <=> ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4364,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(monotonicity,[status(thm)],[4363])).
% 38.98/25.43 tff(4365,plain,
% 38.98/25.43 (((~![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))),
% 38.98/25.43 inference(transitivity,[status(thm)],[4364, 4362])).
% 38.98/25.43 tff(4366,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4367,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4366, 4365])).
% 38.98/25.43 tff(4368,plain,
% 38.98/25.43 ((~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4367, 944, 4080])).
% 38.98/25.43 tff(4369,plain,
% 38.98/25.43 (~v127(constB27, bitIndex0)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4368, 4361])).
% 38.98/25.43 tff(4370,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4371,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4372,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4371, 4370])).
% 38.98/25.43 tff(4373,plain,
% 38.98/25.43 (v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4372, 962, 4091])).
% 38.98/25.43 tff(4374,plain,
% 38.98/25.43 (~v129(constB28, bitIndex0)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4373, 4369])).
% 38.98/25.43 tff(4375,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4376,plain,
% 38.98/25.43 (((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4377,plain,
% 38.98/25.43 (((~![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))))),
% 38.98/25.43 inference(monotonicity,[status(thm)],[4376])).
% 38.98/25.43 tff(4378,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(transitivity,[status(thm)],[4377, 4375])).
% 38.98/25.43 tff(4379,plain,
% 38.98/25.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4380,plain,
% 38.98/25.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4379, 4378])).
% 38.98/25.43 tff(4381,plain,
% 38.98/25.43 ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4380, 977, 4291])).
% 38.98/25.43 tff(4382,plain,
% 38.98/25.43 (~v90(constB28, bitIndex0)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4381, 4374])).
% 38.98/25.43 tff(4383,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4384,plain,
% 38.98/25.43 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4385,plain,
% 38.98/25.43 (((~![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))))),
% 38.98/25.43 inference(monotonicity,[status(thm)],[4384])).
% 38.98/25.43 tff(4386,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(transitivity,[status(thm)],[4385, 4383])).
% 38.98/25.43 tff(4387,plain,
% 38.98/25.43 ((~![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)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4388,plain,
% 38.98/25.43 ((~![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))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 38.98/25.43 tff(4389,plain,
% 38.98/25.43 (v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4388, 207, 4305])).
% 38.98/25.43 tff(4390,plain,
% 38.98/25.43 (v90(constB28, bitIndex0) | (~v90(constB29, bitIndex0))),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4389, 4317])).
% 38.98/25.43 tff(4391,plain,
% 38.98/25.43 (~v90(constB29, bitIndex0)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4390, 4382])).
% 38.98/25.43 tff(4392,plain,
% 38.98/25.43 (((~![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))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4393,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4394,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29)),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4393, 4392])).
% 38.98/25.43 tff(4395,plain,
% 38.98/25.43 (v121(constB29)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4394, 996, 4391, 4357, 4326])).
% 38.98/25.43 tff(4396,plain,
% 38.98/25.43 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4397,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4398,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 38.98/25.43 tff(4399,plain,
% 38.98/25.43 (v117(constB29)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4398, 1130, 4395])).
% 38.98/25.43 tff(4400,plain,
% 38.98/25.43 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4401,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4402,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 38.98/25.43 tff(4403,plain,
% 38.98/25.43 (v116(constB29)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4402, 261, 4399])).
% 38.98/25.43 tff(4404,plain,
% 38.98/25.43 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4405,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4406,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 38.98/25.43 tff(4407,plain,
% 38.98/25.43 (v115(constB29)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4406, 272, 4403])).
% 38.98/25.43 tff(4408,plain,
% 38.98/25.43 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4409,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4410,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 38.98/25.43 tff(4411,plain,
% 38.98/25.43 (v114(constB29)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4410, 283, 4407])).
% 38.98/25.43 tff(4412,plain,
% 38.98/25.43 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4413,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4414,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 38.98/25.43 tff(4415,plain,
% 38.98/25.43 (v113(constB29)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4414, 294, 4411])).
% 38.98/25.43 tff(4416,assumption,(v26(constB29)), introduced(assumption)).
% 38.98/25.43 tff(4417,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4418,plain,
% 38.98/25.43 ($false),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4417, 86, 4416])).
% 38.98/25.43 tff(4419,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 38.98/25.43 tff(4420,plain,
% 38.98/25.43 (((~![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))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4421,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4422,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | (~v113(constB29)) | v112(constB29)),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4421, 4420])).
% 38.98/25.43 tff(4423,plain,
% 38.98/25.43 ((~v113(constB29)) | v112(constB29)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4422, 308, 4419])).
% 38.98/25.43 tff(4424,plain,
% 38.98/25.43 (v112(constB29)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4423, 4415])).
% 38.98/25.43 tff(4425,plain,
% 38.98/25.43 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4426,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4427,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4426, 4425])).
% 38.98/25.43 tff(4428,plain,
% 38.98/25.43 (v108(constB29)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4427, 320, 4424])).
% 38.98/25.43 tff(4429,plain,
% 38.98/25.43 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4430,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 38.98/25.43 tff(4431,plain,
% 38.98/25.43 (nextState(constB29, constB30)),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4430, 4429])).
% 38.98/25.43 tff(4432,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4433,plain,
% 38.98/25.43 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4434,plain,
% 38.98/25.43 (((~![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))))),
% 38.98/25.43 inference(monotonicity,[status(thm)],[4433])).
% 38.98/25.43 tff(4435,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(transitivity,[status(thm)],[4434, 4432])).
% 38.98/25.43 tff(4436,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4437,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4436, 4435])).
% 38.98/25.43 tff(4438,plain,
% 38.98/25.43 (v110(constB30) | (~v108(constB29))),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4437, 337, 4431])).
% 38.98/25.43 tff(4439,plain,
% 38.98/25.43 (v110(constB30)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4438, 4428])).
% 38.98/25.43 tff(4440,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4441,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4442,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4441, 4440])).
% 38.98/25.43 tff(4443,plain,
% 38.98/25.43 (~v104(constB30)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4442, 355, 4431, 4302])).
% 38.98/25.43 tff(4444,plain,
% 38.98/25.43 (((~![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))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4445,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4446,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4445, 4444])).
% 38.98/25.43 tff(4447,plain,
% 38.98/25.43 (v102(constB30) | v104(constB30)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4446, 369, 4431])).
% 38.98/25.43 tff(4448,plain,
% 38.98/25.43 (v102(constB30)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4447, 4443])).
% 38.98/25.43 tff(4449,plain,
% 38.98/25.43 (v1(constB30) <=> v1(constB30)),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4450,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 38.98/25.43 tff(4451,plain,
% 38.98/25.43 (v1(constB30)),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4450, 4449])).
% 38.98/25.43 tff(4452,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4453,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4454,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4453, 4452])).
% 38.98/25.43 tff(4455,plain,
% 38.98/25.43 (v101(constB30) | (~v102(constB30))),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4454, 387, 4431, 4451])).
% 38.98/25.43 tff(4456,plain,
% 38.98/25.43 (v101(constB30)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4455, 4448])).
% 38.98/25.43 tff(4457,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4458,plain,
% 38.98/25.43 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4459,plain,
% 38.98/25.43 (((~![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))))),
% 38.98/25.43 inference(monotonicity,[status(thm)],[4458])).
% 38.98/25.43 tff(4460,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(transitivity,[status(thm)],[4459, 4457])).
% 38.98/25.43 tff(4461,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4462,plain,
% 38.98/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4461, 4460])).
% 38.98/25.43 tff(4463,plain,
% 38.98/25.43 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4462, 402, 4431])).
% 38.98/25.43 tff(4464,plain,
% 38.98/25.43 (v100(constB30) | (~v110(constB30))),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4463, 4456])).
% 38.98/25.43 tff(4465,plain,
% 38.98/25.43 (v100(constB30)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4464, 4439])).
% 38.98/25.43 tff(4466,plain,
% 38.98/25.43 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4467,plain,
% 38.98/25.43 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4468,plain,
% 38.98/25.43 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2))),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4467, 4466])).
% 38.98/25.43 tff(4469,plain,
% 38.98/25.43 (~v130(constB29, bitIndex2)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4468, 1102, 4395])).
% 38.98/25.43 tff(4470,plain,
% 38.98/25.43 (((~![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))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4471,plain,
% 38.98/25.43 ((v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2))) <=> ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 38.98/25.43 inference(rewrite,[status(thm)],[])).
% 38.98/25.43 tff(4472,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.43 inference(monotonicity,[status(thm)],[4471])).
% 38.98/25.43 tff(4473,plain,
% 38.98/25.43 (((~![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))),
% 38.98/25.43 inference(transitivity,[status(thm)],[4472, 4470])).
% 38.98/25.43 tff(4474,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))),
% 38.98/25.43 inference(quant_inst,[status(thm)],[])).
% 38.98/25.43 tff(4475,plain,
% 38.98/25.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)),
% 38.98/25.43 inference(modus_ponens,[status(thm)],[4474, 4473])).
% 38.98/25.43 tff(4476,plain,
% 38.98/25.43 ((~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4475, 435, 4419])).
% 38.98/25.43 tff(4477,plain,
% 38.98/25.43 (~v127(constB29, bitIndex2)),
% 38.98/25.43 inference(unit_resolution,[status(thm)],[4476, 4469])).
% 38.98/25.43 tff(4478,plain,
% 38.98/25.43 (((~![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)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4479,plain,
% 38.98/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4480,plain,
% 38.98/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 38.98/25.44 tff(4481,plain,
% 38.98/25.44 (v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4480, 453, 4431])).
% 38.98/25.44 tff(4482,plain,
% 38.98/25.44 (~v129(constB30, bitIndex2)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4481, 4477])).
% 38.98/25.44 tff(4483,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4484,plain,
% 38.98/25.44 (((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2)) <=> ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4485,plain,
% 38.98/25.44 (((~![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))))),
% 38.98/25.44 inference(monotonicity,[status(thm)],[4484])).
% 38.98/25.44 tff(4486,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(transitivity,[status(thm)],[4485, 4483])).
% 38.98/25.44 tff(4487,plain,
% 38.98/25.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4488,plain,
% 38.98/25.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4487, 4486])).
% 38.98/25.44 tff(4489,plain,
% 38.98/25.44 ((~v90(constB30, bitIndex2)) | (~v100(constB30))),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4488, 468, 4482])).
% 38.98/25.44 tff(4490,plain,
% 38.98/25.44 (~v90(constB30, bitIndex2)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4489, 4465])).
% 38.98/25.44 tff(4491,plain,
% 38.98/25.44 ((~v1(constB31)) <=> (~v1(constB31))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4492,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 38.98/25.44 tff(4493,plain,
% 38.98/25.44 (~v1(constB31)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4492, 4491])).
% 38.98/25.44 tff(4494,plain,
% 38.98/25.44 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4495,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 38.98/25.44 tff(4496,plain,
% 38.98/25.44 (nextState(constB30, constB31)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 38.98/25.44 tff(4497,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4498,plain,
% 38.98/25.44 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4499,plain,
% 38.98/25.44 (((~![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))))),
% 38.98/25.44 inference(monotonicity,[status(thm)],[4498])).
% 38.98/25.44 tff(4500,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(transitivity,[status(thm)],[4499, 4497])).
% 38.98/25.44 tff(4501,plain,
% 38.98/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4502,plain,
% 38.98/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4501, 4500])).
% 38.98/25.44 tff(4503,plain,
% 38.98/25.44 (~v101(constB31)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4502, 133, 4496, 4493])).
% 38.98/25.44 tff(4504,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4505,plain,
% 38.98/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4506,plain,
% 38.98/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4505, 4504])).
% 38.98/25.44 tff(4507,plain,
% 38.98/25.44 (v101(constB31) | (~v100(constB31))),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4506, 150, 4496])).
% 38.98/25.44 tff(4508,plain,
% 38.98/25.44 (~v100(constB31)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4507, 4503])).
% 38.98/25.44 tff(4509,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4510,plain,
% 38.98/25.44 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))) <=> (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4511,plain,
% 38.98/25.44 (((~![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))))),
% 38.98/25.44 inference(monotonicity,[status(thm)],[4510])).
% 38.98/25.44 tff(4512,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(transitivity,[status(thm)],[4511, 4509])).
% 38.98/25.44 tff(4513,plain,
% 38.98/25.44 ((~![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)))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4514,plain,
% 38.98/25.44 ((~![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))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4513, 4512])).
% 38.98/25.44 tff(4515,plain,
% 38.98/25.44 (v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4514, 165, 4496])).
% 38.98/25.44 tff(4516,plain,
% 38.98/25.44 (v90(constB30, bitIndex2) | (~v90(constB31, bitIndex2))),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4515, 4508])).
% 38.98/25.44 tff(4517,plain,
% 38.98/25.44 (~v90(constB31, bitIndex2)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4516, 4490])).
% 38.98/25.44 tff(4518,plain,
% 38.98/25.44 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4519,plain,
% 38.98/25.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4520,plain,
% 38.98/25.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4519, 4518])).
% 38.98/25.44 tff(4521,plain,
% 38.98/25.44 (v130(constB29, bitIndex1)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4520, 1717, 4395])).
% 38.98/25.44 tff(4522,plain,
% 38.98/25.44 (((~![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))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4523,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4524,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4523, 4522])).
% 38.98/25.44 tff(4525,plain,
% 38.98/25.44 ((~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4524, 882, 4419])).
% 38.98/25.44 tff(4526,plain,
% 38.98/25.44 (v127(constB29, bitIndex1)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4525, 4521])).
% 38.98/25.44 tff(4527,plain,
% 38.98/25.44 (((~![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))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4528,plain,
% 38.98/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4529,plain,
% 38.98/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4528, 4527])).
% 38.98/25.44 tff(4530,plain,
% 38.98/25.44 ((~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4529, 897, 4431])).
% 38.98/25.44 tff(4531,plain,
% 38.98/25.44 (v129(constB30, bitIndex1)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4530, 4526])).
% 38.98/25.44 tff(4532,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4533,plain,
% 38.98/25.44 ((v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4534,plain,
% 38.98/25.44 (((~![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))))),
% 38.98/25.44 inference(monotonicity,[status(thm)],[4533])).
% 38.98/25.44 tff(4535,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(transitivity,[status(thm)],[4534, 4532])).
% 38.98/25.44 tff(4536,plain,
% 38.98/25.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4537,plain,
% 38.98/25.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4536, 4535])).
% 38.98/25.44 tff(4538,plain,
% 38.98/25.44 (v90(constB30, bitIndex1) | (~v100(constB30))),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4537, 912, 4531])).
% 38.98/25.44 tff(4539,plain,
% 38.98/25.44 (v90(constB30, bitIndex1)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4538, 4465])).
% 38.98/25.44 tff(4540,plain,
% 38.98/25.44 (((~![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))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4541,plain,
% 38.98/25.44 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4542,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(monotonicity,[status(thm)],[4541])).
% 38.98/25.44 tff(4543,plain,
% 38.98/25.44 (((~![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))),
% 38.98/25.44 inference(transitivity,[status(thm)],[4542, 4540])).
% 38.98/25.44 tff(4544,plain,
% 38.98/25.44 ((~![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))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4545,plain,
% 38.98/25.44 ((~![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)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 38.98/25.44 tff(4546,plain,
% 38.98/25.44 ((~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4545, 1049, 4496])).
% 38.98/25.44 tff(4547,plain,
% 38.98/25.44 ((~v90(constB30, bitIndex1)) | v90(constB31, bitIndex1)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4546, 4508])).
% 38.98/25.44 tff(4548,plain,
% 38.98/25.44 (v90(constB31, bitIndex1)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4547, 4539])).
% 38.98/25.44 tff(4549,plain,
% 38.98/25.44 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4550,plain,
% 38.98/25.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4551,plain,
% 38.98/25.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4550, 4549])).
% 38.98/25.44 tff(4552,plain,
% 38.98/25.44 (v130(constB29, bitIndex0)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4551, 1758, 4395])).
% 38.98/25.44 tff(4553,plain,
% 38.98/25.44 (((~![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))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4554,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4555,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4554, 4553])).
% 38.98/25.44 tff(4556,plain,
% 38.98/25.44 ((~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4555, 601, 4419])).
% 38.98/25.44 tff(4557,plain,
% 38.98/25.44 (v127(constB29, bitIndex0)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4556, 4552])).
% 38.98/25.44 tff(4558,plain,
% 38.98/25.44 (((~![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))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4559,plain,
% 38.98/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4560,plain,
% 38.98/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4559, 4558])).
% 38.98/25.44 tff(4561,plain,
% 38.98/25.44 ((~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4560, 616, 4431])).
% 38.98/25.44 tff(4562,plain,
% 38.98/25.44 (v129(constB30, bitIndex0)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4561, 4557])).
% 38.98/25.44 tff(4563,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4564,plain,
% 38.98/25.44 ((v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4565,plain,
% 38.98/25.44 (((~![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))))),
% 38.98/25.44 inference(monotonicity,[status(thm)],[4564])).
% 38.98/25.44 tff(4566,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(transitivity,[status(thm)],[4565, 4563])).
% 38.98/25.44 tff(4567,plain,
% 38.98/25.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4568,plain,
% 38.98/25.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4567, 4566])).
% 38.98/25.44 tff(4569,plain,
% 38.98/25.44 (v90(constB30, bitIndex0) | (~v100(constB30))),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4568, 631, 4562])).
% 38.98/25.44 tff(4570,plain,
% 38.98/25.44 (v90(constB30, bitIndex0)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4569, 4465])).
% 38.98/25.44 tff(4571,plain,
% 38.98/25.44 (((~![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))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4572,plain,
% 38.98/25.44 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4573,plain,
% 38.98/25.44 (((~![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)))),
% 38.98/25.44 inference(monotonicity,[status(thm)],[4572])).
% 38.98/25.44 tff(4574,plain,
% 38.98/25.44 (((~![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))),
% 38.98/25.44 inference(transitivity,[status(thm)],[4573, 4571])).
% 38.98/25.44 tff(4575,plain,
% 38.98/25.44 ((~![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))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4576,plain,
% 38.98/25.44 ((~![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)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4575, 4574])).
% 38.98/25.44 tff(4577,plain,
% 38.98/25.44 ((~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4576, 649, 4496])).
% 38.98/25.44 tff(4578,plain,
% 38.98/25.44 ((~v90(constB30, bitIndex0)) | v90(constB31, bitIndex0)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4577, 4508])).
% 38.98/25.44 tff(4579,plain,
% 38.98/25.44 (v90(constB31, bitIndex0)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4578, 4570])).
% 38.98/25.44 tff(4580,plain,
% 38.98/25.44 (((~![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))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4581,plain,
% 38.98/25.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4582,plain,
% 38.98/25.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 38.98/25.44 tff(4583,plain,
% 38.98/25.44 (v122(constB31)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4582, 1184, 4579, 4548, 4517])).
% 38.98/25.44 tff(4584,plain,
% 38.98/25.44 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4585,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4586,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 38.98/25.44 tff(4587,plain,
% 38.98/25.44 (v116(constB31)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4586, 1149, 4583])).
% 38.98/25.44 tff(4588,plain,
% 38.98/25.44 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4589,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4590,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4589, 4588])).
% 38.98/25.44 tff(4591,plain,
% 38.98/25.44 (v115(constB31)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4590, 272, 4587])).
% 38.98/25.44 tff(4592,plain,
% 38.98/25.44 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4593,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4594,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4593, 4592])).
% 38.98/25.44 tff(4595,plain,
% 38.98/25.44 (v114(constB31)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4594, 283, 4591])).
% 38.98/25.44 tff(4596,plain,
% 38.98/25.44 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31)))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4597,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4598,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31))),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4597, 4596])).
% 38.98/25.44 tff(4599,plain,
% 38.98/25.44 (v113(constB31)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4598, 294, 4595])).
% 38.98/25.44 tff(4600,assumption,(v26(constB31)), introduced(assumption)).
% 38.98/25.44 tff(4601,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4602,plain,
% 38.98/25.44 ($false),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4601, 86, 4600])).
% 38.98/25.44 tff(4603,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 38.98/25.44 tff(4604,plain,
% 38.98/25.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 38.98/25.44 inference(rewrite,[status(thm)],[])).
% 38.98/25.44 tff(4605,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 38.98/25.44 inference(quant_inst,[status(thm)],[])).
% 38.98/25.44 tff(4606,plain,
% 38.98/25.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31)),
% 38.98/25.44 inference(modus_ponens,[status(thm)],[4605, 4604])).
% 38.98/25.44 tff(4607,plain,
% 38.98/25.44 ((~v113(constB31)) | v112(constB31)),
% 38.98/25.44 inference(unit_resolution,[status(thm)],[4606, 308, 4603])).
% 38.98/25.45 tff(4608,plain,
% 38.98/25.45 (v112(constB31)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4607, 4599])).
% 38.98/25.45 tff(4609,plain,
% 38.98/25.45 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4610,plain,
% 38.98/25.45 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4611,plain,
% 38.98/25.45 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4610, 4609])).
% 38.98/25.45 tff(4612,plain,
% 38.98/25.45 (v108(constB31)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4611, 320, 4608])).
% 38.98/25.45 tff(4613,plain,
% 38.98/25.45 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4614,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 38.98/25.45 tff(4615,plain,
% 38.98/25.45 (nextState(constB31, constB32)),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4614, 4613])).
% 38.98/25.45 tff(4616,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4617,plain,
% 38.98/25.45 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4618,plain,
% 38.98/25.45 (((~![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))))),
% 38.98/25.45 inference(monotonicity,[status(thm)],[4617])).
% 38.98/25.45 tff(4619,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(transitivity,[status(thm)],[4618, 4616])).
% 38.98/25.45 tff(4620,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4621,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 38.98/25.45 tff(4622,plain,
% 38.98/25.45 (v110(constB32) | (~v108(constB31))),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4621, 337, 4615])).
% 38.98/25.45 tff(4623,plain,
% 38.98/25.45 (v110(constB32)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4622, 4612])).
% 38.98/25.45 tff(4624,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4625,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4626,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4625, 4624])).
% 38.98/25.45 tff(4627,plain,
% 38.98/25.45 (~v104(constB32)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4626, 355, 4615, 4493])).
% 38.98/25.45 tff(4628,plain,
% 38.98/25.45 (((~![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))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4629,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4630,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4629, 4628])).
% 38.98/25.45 tff(4631,plain,
% 38.98/25.45 (v102(constB32) | v104(constB32)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4630, 369, 4615])).
% 38.98/25.45 tff(4632,plain,
% 38.98/25.45 (v102(constB32)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4631, 4627])).
% 38.98/25.45 tff(4633,plain,
% 38.98/25.45 (v1(constB32) <=> v1(constB32)),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4634,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 38.98/25.45 tff(4635,plain,
% 38.98/25.45 (v1(constB32)),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4634, 4633])).
% 38.98/25.45 tff(4636,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4637,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4638,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4637, 4636])).
% 38.98/25.45 tff(4639,plain,
% 38.98/25.45 (v101(constB32) | (~v102(constB32))),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4638, 387, 4615, 4635])).
% 38.98/25.45 tff(4640,plain,
% 38.98/25.45 (v101(constB32)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4639, 4632])).
% 38.98/25.45 tff(4641,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4642,plain,
% 38.98/25.45 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4643,plain,
% 38.98/25.45 (((~![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))))),
% 38.98/25.45 inference(monotonicity,[status(thm)],[4642])).
% 38.98/25.45 tff(4644,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(transitivity,[status(thm)],[4643, 4641])).
% 38.98/25.45 tff(4645,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4646,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4645, 4644])).
% 38.98/25.45 tff(4647,plain,
% 38.98/25.45 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4646, 402, 4615])).
% 38.98/25.45 tff(4648,plain,
% 38.98/25.45 (v100(constB32) | (~v110(constB32))),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4647, 4640])).
% 38.98/25.45 tff(4649,plain,
% 38.98/25.45 (v100(constB32)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4648, 4623])).
% 38.98/25.45 tff(4650,plain,
% 38.98/25.45 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4651,plain,
% 38.98/25.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4652,plain,
% 38.98/25.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2)),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4651, 4650])).
% 38.98/25.45 tff(4653,plain,
% 38.98/25.45 (v130(constB31, bitIndex2)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4652, 1803, 4583])).
% 38.98/25.45 tff(4654,plain,
% 38.98/25.45 (((~![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))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4655,plain,
% 38.98/25.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4656,plain,
% 38.98/25.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4655, 4654])).
% 38.98/25.45 tff(4657,plain,
% 38.98/25.45 ((~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4656, 1821, 4603])).
% 38.98/25.45 tff(4658,plain,
% 38.98/25.45 (v127(constB31, bitIndex2)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4657, 4653])).
% 38.98/25.45 tff(4659,plain,
% 38.98/25.45 (((~![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))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4660,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4661,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4660, 4659])).
% 38.98/25.45 tff(4662,plain,
% 38.98/25.45 ((~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4661, 1836, 4615])).
% 38.98/25.45 tff(4663,plain,
% 38.98/25.45 (v129(constB32, bitIndex2)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4662, 4658])).
% 38.98/25.45 tff(4664,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4665,plain,
% 38.98/25.45 ((v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4666,plain,
% 38.98/25.45 (((~![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))))),
% 38.98/25.45 inference(monotonicity,[status(thm)],[4665])).
% 38.98/25.45 tff(4667,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(transitivity,[status(thm)],[4666, 4664])).
% 38.98/25.45 tff(4668,plain,
% 38.98/25.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4669,plain,
% 38.98/25.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4668, 4667])).
% 38.98/25.45 tff(4670,plain,
% 38.98/25.45 (v90(constB32, bitIndex2) | (~v100(constB32))),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4669, 2100, 4663])).
% 38.98/25.45 tff(4671,plain,
% 38.98/25.45 (v90(constB32, bitIndex2)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4670, 4649])).
% 38.98/25.45 tff(4672,plain,
% 38.98/25.45 ((~v1(constB33)) <=> (~v1(constB33))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4673,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 38.98/25.45 tff(4674,plain,
% 38.98/25.45 (~v1(constB33)),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4673, 4672])).
% 38.98/25.45 tff(4675,plain,
% 38.98/25.45 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4676,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 38.98/25.45 tff(4677,plain,
% 38.98/25.45 (nextState(constB32, constB33)),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 38.98/25.45 tff(4678,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4679,plain,
% 38.98/25.45 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4680,plain,
% 38.98/25.45 (((~![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))))),
% 38.98/25.45 inference(monotonicity,[status(thm)],[4679])).
% 38.98/25.45 tff(4681,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(transitivity,[status(thm)],[4680, 4678])).
% 38.98/25.45 tff(4682,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4683,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4682, 4681])).
% 38.98/25.45 tff(4684,plain,
% 38.98/25.45 (~v101(constB33)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4683, 133, 4677, 4674])).
% 38.98/25.45 tff(4685,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4686,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4687,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4686, 4685])).
% 38.98/25.45 tff(4688,plain,
% 38.98/25.45 (v101(constB33) | (~v100(constB33))),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4687, 150, 4677])).
% 38.98/25.45 tff(4689,plain,
% 38.98/25.45 (~v100(constB33)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4688, 4684])).
% 38.98/25.45 tff(4690,plain,
% 38.98/25.45 (((~![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))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4691,plain,
% 38.98/25.45 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)) <=> ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4692,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(monotonicity,[status(thm)],[4691])).
% 38.98/25.45 tff(4693,plain,
% 38.98/25.45 (((~![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))),
% 38.98/25.45 inference(transitivity,[status(thm)],[4692, 4690])).
% 38.98/25.45 tff(4694,plain,
% 38.98/25.45 ((~![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))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4695,plain,
% 38.98/25.45 ((~![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)),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4694, 4693])).
% 38.98/25.45 tff(4696,plain,
% 38.98/25.45 ((~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4695, 2118, 4677])).
% 38.98/25.45 tff(4697,plain,
% 38.98/25.45 ((~v90(constB32, bitIndex2)) | v90(constB33, bitIndex2)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4696, 4689])).
% 38.98/25.45 tff(4698,plain,
% 38.98/25.45 (v90(constB33, bitIndex2)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4697, 4671])).
% 38.98/25.45 tff(4699,plain,
% 38.98/25.45 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4700,plain,
% 38.98/25.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4701,plain,
% 38.98/25.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4700, 4699])).
% 38.98/25.45 tff(4702,plain,
% 38.98/25.45 (~v130(constB31, bitIndex1)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4701, 2137, 4583])).
% 38.98/25.45 tff(4703,plain,
% 38.98/25.45 (((~![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))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4704,plain,
% 38.98/25.45 ((v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1))) <=> ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4705,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(monotonicity,[status(thm)],[4704])).
% 38.98/25.45 tff(4706,plain,
% 38.98/25.45 (((~![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))),
% 38.98/25.45 inference(transitivity,[status(thm)],[4705, 4703])).
% 38.98/25.45 tff(4707,plain,
% 38.98/25.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4708,plain,
% 38.98/25.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4707, 4706])).
% 38.98/25.45 tff(4709,plain,
% 38.98/25.45 ((~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4708, 527, 4603])).
% 38.98/25.45 tff(4710,plain,
% 38.98/25.45 (~v127(constB31, bitIndex1)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4709, 4702])).
% 38.98/25.45 tff(4711,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4712,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4713,plain,
% 38.98/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4712, 4711])).
% 38.98/25.45 tff(4714,plain,
% 38.98/25.45 (v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4713, 545, 4615])).
% 38.98/25.45 tff(4715,plain,
% 38.98/25.45 (~v129(constB32, bitIndex1)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4714, 4710])).
% 38.98/25.45 tff(4716,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4717,plain,
% 38.98/25.45 (((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1)) <=> ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4718,plain,
% 38.98/25.45 (((~![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))))),
% 38.98/25.45 inference(monotonicity,[status(thm)],[4717])).
% 38.98/25.45 tff(4719,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(transitivity,[status(thm)],[4718, 4716])).
% 38.98/25.45 tff(4720,plain,
% 38.98/25.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4721,plain,
% 38.98/25.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4720, 4719])).
% 38.98/25.45 tff(4722,plain,
% 38.98/25.45 ((~v90(constB32, bitIndex1)) | (~v100(constB32))),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4721, 560, 4715])).
% 38.98/25.45 tff(4723,plain,
% 38.98/25.45 (~v90(constB32, bitIndex1)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4722, 4649])).
% 38.98/25.45 tff(4724,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4725,plain,
% 38.98/25.45 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))) <=> (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4726,plain,
% 38.98/25.45 (((~![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))))),
% 38.98/25.45 inference(monotonicity,[status(thm)],[4725])).
% 38.98/25.45 tff(4727,plain,
% 38.98/25.45 (((~![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)))),
% 38.98/25.45 inference(transitivity,[status(thm)],[4726, 4724])).
% 38.98/25.45 tff(4728,plain,
% 38.98/25.45 ((~![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)))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4729,plain,
% 38.98/25.45 ((~![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))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4728, 4727])).
% 38.98/25.45 tff(4730,plain,
% 38.98/25.45 (v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4729, 186, 4677])).
% 38.98/25.45 tff(4731,plain,
% 38.98/25.45 (v90(constB32, bitIndex1) | (~v90(constB33, bitIndex1))),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4730, 4689])).
% 38.98/25.45 tff(4732,plain,
% 38.98/25.45 (~v90(constB33, bitIndex1)),
% 38.98/25.45 inference(unit_resolution,[status(thm)],[4731, 4723])).
% 38.98/25.45 tff(4733,plain,
% 38.98/25.45 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 38.98/25.45 inference(rewrite,[status(thm)],[])).
% 38.98/25.45 tff(4734,plain,
% 38.98/25.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 38.98/25.45 inference(quant_inst,[status(thm)],[])).
% 38.98/25.45 tff(4735,plain,
% 38.98/25.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0))),
% 38.98/25.45 inference(modus_ponens,[status(thm)],[4734, 4733])).
% 38.98/25.45 tff(4736,plain,
% 38.98/25.45 (~v130(constB31, bitIndex0)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4735, 1486, 4583])).
% 38.98/25.46 tff(4737,plain,
% 38.98/25.46 (((~![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))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4738,plain,
% 38.98/25.46 ((v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0))) <=> ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4739,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(monotonicity,[status(thm)],[4738])).
% 38.98/25.46 tff(4740,plain,
% 38.98/25.46 (((~![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))),
% 38.98/25.46 inference(transitivity,[status(thm)],[4739, 4737])).
% 38.98/25.46 tff(4741,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4742,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4741, 4740])).
% 38.98/25.46 tff(4743,plain,
% 38.98/25.46 ((~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4742, 944, 4603])).
% 38.98/25.46 tff(4744,plain,
% 38.98/25.46 (~v127(constB31, bitIndex0)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4743, 4736])).
% 38.98/25.46 tff(4745,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4746,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4747,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4746, 4745])).
% 38.98/25.46 tff(4748,plain,
% 38.98/25.46 (v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4747, 962, 4615])).
% 38.98/25.46 tff(4749,plain,
% 38.98/25.46 (~v129(constB32, bitIndex0)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4748, 4744])).
% 38.98/25.46 tff(4750,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4751,plain,
% 38.98/25.46 (((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4752,plain,
% 38.98/25.46 (((~![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))))),
% 38.98/25.46 inference(monotonicity,[status(thm)],[4751])).
% 38.98/25.46 tff(4753,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(transitivity,[status(thm)],[4752, 4750])).
% 38.98/25.46 tff(4754,plain,
% 38.98/25.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4755,plain,
% 38.98/25.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 38.98/25.46 tff(4756,plain,
% 38.98/25.46 ((~v90(constB32, bitIndex0)) | (~v100(constB32))),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4755, 977, 4749])).
% 38.98/25.46 tff(4757,plain,
% 38.98/25.46 (~v90(constB32, bitIndex0)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4756, 4649])).
% 38.98/25.46 tff(4758,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4759,plain,
% 38.98/25.46 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))) <=> (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4760,plain,
% 38.98/25.46 (((~![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))))),
% 38.98/25.46 inference(monotonicity,[status(thm)],[4759])).
% 38.98/25.46 tff(4761,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(transitivity,[status(thm)],[4760, 4758])).
% 38.98/25.46 tff(4762,plain,
% 38.98/25.46 ((~![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)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4763,plain,
% 38.98/25.46 ((~![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))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 38.98/25.46 tff(4764,plain,
% 38.98/25.46 (v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4763, 207, 4677])).
% 38.98/25.46 tff(4765,plain,
% 38.98/25.46 (v90(constB32, bitIndex0) | (~v90(constB33, bitIndex0))),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4764, 4689])).
% 38.98/25.46 tff(4766,plain,
% 38.98/25.46 (~v90(constB33, bitIndex0)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4765, 4757])).
% 38.98/25.46 tff(4767,plain,
% 38.98/25.46 (((~![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))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4768,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4769,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4768, 4767])).
% 38.98/25.46 tff(4770,plain,
% 38.98/25.46 (v123(constB33)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4769, 1280, 4766, 4732, 4698])).
% 38.98/25.46 tff(4771,plain,
% 38.98/25.46 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4772,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4773,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4772, 4771])).
% 38.98/25.46 tff(4774,plain,
% 38.98/25.46 (v115(constB33)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4773, 1247, 4770])).
% 38.98/25.46 tff(4775,plain,
% 38.98/25.46 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4776,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4777,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4776, 4775])).
% 38.98/25.46 tff(4778,plain,
% 38.98/25.46 (v114(constB33)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4777, 283, 4774])).
% 38.98/25.46 tff(4779,plain,
% 38.98/25.46 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4780,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4781,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4780, 4779])).
% 38.98/25.46 tff(4782,plain,
% 38.98/25.46 (v113(constB33)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4781, 294, 4778])).
% 38.98/25.46 tff(4783,assumption,(v26(constB33)), introduced(assumption)).
% 38.98/25.46 tff(4784,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4785,plain,
% 38.98/25.46 ($false),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4784, 86, 4783])).
% 38.98/25.46 tff(4786,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 38.98/25.46 tff(4787,plain,
% 38.98/25.46 (((~![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))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4788,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4789,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4788, 4787])).
% 38.98/25.46 tff(4790,plain,
% 38.98/25.46 ((~v113(constB33)) | v112(constB33)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4789, 308, 4786])).
% 38.98/25.46 tff(4791,plain,
% 38.98/25.46 (v112(constB33)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4790, 4782])).
% 38.98/25.46 tff(4792,plain,
% 38.98/25.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4793,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4794,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 38.98/25.46 tff(4795,plain,
% 38.98/25.46 (v108(constB33)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4794, 320, 4791])).
% 38.98/25.46 tff(4796,plain,
% 38.98/25.46 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4797,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 38.98/25.46 tff(4798,plain,
% 38.98/25.46 (nextState(constB33, constB34)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 38.98/25.46 tff(4799,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4800,plain,
% 38.98/25.46 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4801,plain,
% 38.98/25.46 (((~![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))))),
% 38.98/25.46 inference(monotonicity,[status(thm)],[4800])).
% 38.98/25.46 tff(4802,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(transitivity,[status(thm)],[4801, 4799])).
% 38.98/25.46 tff(4803,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4804,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4803, 4802])).
% 38.98/25.46 tff(4805,plain,
% 38.98/25.46 (v110(constB34) | (~v108(constB33))),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4804, 337, 4798])).
% 38.98/25.46 tff(4806,plain,
% 38.98/25.46 (v110(constB34)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4805, 4795])).
% 38.98/25.46 tff(4807,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4808,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4809,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4808, 4807])).
% 38.98/25.46 tff(4810,plain,
% 38.98/25.46 (~v104(constB34)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4809, 355, 4798, 4674])).
% 38.98/25.46 tff(4811,plain,
% 38.98/25.46 (((~![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))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4812,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4813,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4812, 4811])).
% 38.98/25.46 tff(4814,plain,
% 38.98/25.46 (v102(constB34) | v104(constB34)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4813, 369, 4798])).
% 38.98/25.46 tff(4815,plain,
% 38.98/25.46 (v102(constB34)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4814, 4810])).
% 38.98/25.46 tff(4816,plain,
% 38.98/25.46 (v1(constB34) <=> v1(constB34)),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4817,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 38.98/25.46 tff(4818,plain,
% 38.98/25.46 (v1(constB34)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4817, 4816])).
% 38.98/25.46 tff(4819,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4820,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4821,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4820, 4819])).
% 38.98/25.46 tff(4822,plain,
% 38.98/25.46 (v101(constB34) | (~v102(constB34))),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4821, 387, 4798, 4818])).
% 38.98/25.46 tff(4823,plain,
% 38.98/25.46 (v101(constB34)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4822, 4815])).
% 38.98/25.46 tff(4824,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4825,plain,
% 38.98/25.46 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4826,plain,
% 38.98/25.46 (((~![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))))),
% 38.98/25.46 inference(monotonicity,[status(thm)],[4825])).
% 38.98/25.46 tff(4827,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(transitivity,[status(thm)],[4826, 4824])).
% 38.98/25.46 tff(4828,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4829,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 38.98/25.46 tff(4830,plain,
% 38.98/25.46 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4829, 402, 4798])).
% 38.98/25.46 tff(4831,plain,
% 38.98/25.46 (v100(constB34) | (~v110(constB34))),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4830, 4823])).
% 38.98/25.46 tff(4832,plain,
% 38.98/25.46 (v100(constB34)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4831, 4806])).
% 38.98/25.46 tff(4833,plain,
% 38.98/25.46 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4834,plain,
% 38.98/25.46 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4835,plain,
% 38.98/25.46 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4834, 4833])).
% 38.98/25.46 tff(4836,plain,
% 38.98/25.46 (v130(constB33, bitIndex2)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4835, 2165, 4770])).
% 38.98/25.46 tff(4837,plain,
% 38.98/25.46 (((~![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))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4838,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4839,plain,
% 38.98/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4838, 4837])).
% 38.98/25.46 tff(4840,plain,
% 38.98/25.46 ((~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4839, 1821, 4786])).
% 38.98/25.46 tff(4841,plain,
% 38.98/25.46 (v127(constB33, bitIndex2)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4840, 4836])).
% 38.98/25.46 tff(4842,plain,
% 38.98/25.46 (((~![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))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4843,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4844,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4843, 4842])).
% 38.98/25.46 tff(4845,plain,
% 38.98/25.46 ((~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4844, 1836, 4798])).
% 38.98/25.46 tff(4846,plain,
% 38.98/25.46 (v129(constB34, bitIndex2)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4845, 4841])).
% 38.98/25.46 tff(4847,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4848,plain,
% 38.98/25.46 ((v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2))) <=> (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4849,plain,
% 38.98/25.46 (((~![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))))),
% 38.98/25.46 inference(monotonicity,[status(thm)],[4848])).
% 38.98/25.46 tff(4850,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(transitivity,[status(thm)],[4849, 4847])).
% 38.98/25.46 tff(4851,plain,
% 38.98/25.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4852,plain,
% 38.98/25.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4851, 4850])).
% 38.98/25.46 tff(4853,plain,
% 38.98/25.46 (v90(constB34, bitIndex2) | (~v100(constB34))),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4852, 2100, 4846])).
% 38.98/25.46 tff(4854,plain,
% 38.98/25.46 (v90(constB34, bitIndex2)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4853, 4832])).
% 38.98/25.46 tff(4855,plain,
% 38.98/25.46 ((~v1(constB35)) <=> (~v1(constB35))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4856,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 38.98/25.46 tff(4857,plain,
% 38.98/25.46 (~v1(constB35)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4856, 4855])).
% 38.98/25.46 tff(4858,plain,
% 38.98/25.46 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4859,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 38.98/25.46 tff(4860,plain,
% 38.98/25.46 (nextState(constB34, constB35)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 38.98/25.46 tff(4861,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4862,plain,
% 38.98/25.46 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4863,plain,
% 38.98/25.46 (((~![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))))),
% 38.98/25.46 inference(monotonicity,[status(thm)],[4862])).
% 38.98/25.46 tff(4864,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(transitivity,[status(thm)],[4863, 4861])).
% 38.98/25.46 tff(4865,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4866,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4865, 4864])).
% 38.98/25.46 tff(4867,plain,
% 38.98/25.46 (~v101(constB35)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4866, 133, 4860, 4857])).
% 38.98/25.46 tff(4868,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4869,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4870,plain,
% 38.98/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4869, 4868])).
% 38.98/25.46 tff(4871,plain,
% 38.98/25.46 (v101(constB35) | (~v100(constB35))),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4870, 150, 4860])).
% 38.98/25.46 tff(4872,plain,
% 38.98/25.46 (~v100(constB35)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4871, 4867])).
% 38.98/25.46 tff(4873,plain,
% 38.98/25.46 (((~![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))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4874,plain,
% 38.98/25.46 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)) <=> ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4875,plain,
% 38.98/25.46 (((~![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)))),
% 38.98/25.46 inference(monotonicity,[status(thm)],[4874])).
% 38.98/25.46 tff(4876,plain,
% 38.98/25.46 (((~![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))),
% 38.98/25.46 inference(transitivity,[status(thm)],[4875, 4873])).
% 38.98/25.46 tff(4877,plain,
% 38.98/25.46 ((~![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))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4878,plain,
% 38.98/25.46 ((~![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)),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4877, 4876])).
% 38.98/25.46 tff(4879,plain,
% 38.98/25.46 ((~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4878, 2118, 4860])).
% 38.98/25.46 tff(4880,plain,
% 38.98/25.46 ((~v90(constB34, bitIndex2)) | v90(constB35, bitIndex2)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4879, 4872])).
% 38.98/25.46 tff(4881,plain,
% 38.98/25.46 (v90(constB35, bitIndex2)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4880, 4854])).
% 38.98/25.46 tff(4882,plain,
% 38.98/25.46 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB33)) | (~v130(constB33, bitIndex1)))),
% 38.98/25.46 inference(rewrite,[status(thm)],[])).
% 38.98/25.46 tff(4883,plain,
% 38.98/25.46 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex1)))),
% 38.98/25.46 inference(quant_inst,[status(thm)],[])).
% 38.98/25.46 tff(4884,plain,
% 38.98/25.46 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB33)) | (~v130(constB33, bitIndex1))),
% 38.98/25.46 inference(modus_ponens,[status(thm)],[4883, 4882])).
% 38.98/25.46 tff(4885,plain,
% 38.98/25.46 (~v130(constB33, bitIndex1)),
% 38.98/25.46 inference(unit_resolution,[status(thm)],[4884, 1579, 4770])).
% 38.98/25.46 tff(4886,plain,
% 38.98/25.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4887,plain,
% 38.98/25.47 ((v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1))) <=> ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4888,plain,
% 38.98/25.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)))),
% 38.98/25.47 inference(monotonicity,[status(thm)],[4887])).
% 38.98/25.47 tff(4889,plain,
% 38.98/25.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 38.98/25.47 inference(transitivity,[status(thm)],[4888, 4886])).
% 38.98/25.47 tff(4890,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4891,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 38.98/25.47 tff(4892,plain,
% 38.98/25.47 ((~v127(constB33, bitIndex1)) | v130(constB33, bitIndex1)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4891, 527, 4786])).
% 38.98/25.47 tff(4893,plain,
% 38.98/25.47 (~v127(constB33, bitIndex1)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4892, 4885])).
% 38.98/25.47 tff(4894,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4895,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4896,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4895, 4894])).
% 38.98/25.47 tff(4897,plain,
% 38.98/25.47 (v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4896, 545, 4798])).
% 38.98/25.47 tff(4898,plain,
% 38.98/25.47 (~v129(constB34, bitIndex1)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4897, 4893])).
% 38.98/25.47 tff(4899,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4900,plain,
% 38.98/25.47 (((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1)) <=> ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4901,plain,
% 38.98/25.47 (((~![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))))),
% 38.98/25.47 inference(monotonicity,[status(thm)],[4900])).
% 38.98/25.47 tff(4902,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(transitivity,[status(thm)],[4901, 4899])).
% 38.98/25.47 tff(4903,plain,
% 38.98/25.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4904,plain,
% 38.98/25.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4903, 4902])).
% 38.98/25.47 tff(4905,plain,
% 38.98/25.47 ((~v90(constB34, bitIndex1)) | (~v100(constB34))),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4904, 560, 4898])).
% 38.98/25.47 tff(4906,plain,
% 38.98/25.47 (~v90(constB34, bitIndex1)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4905, 4832])).
% 38.98/25.47 tff(4907,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4908,plain,
% 38.98/25.47 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))) <=> (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4909,plain,
% 38.98/25.47 (((~![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))))),
% 38.98/25.47 inference(monotonicity,[status(thm)],[4908])).
% 38.98/25.47 tff(4910,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(transitivity,[status(thm)],[4909, 4907])).
% 38.98/25.47 tff(4911,plain,
% 38.98/25.47 ((~![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)))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4912,plain,
% 38.98/25.47 ((~![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))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4911, 4910])).
% 38.98/25.47 tff(4913,plain,
% 38.98/25.47 (v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4912, 186, 4860])).
% 38.98/25.47 tff(4914,plain,
% 38.98/25.47 (v90(constB34, bitIndex1) | (~v90(constB35, bitIndex1))),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4913, 4872])).
% 38.98/25.47 tff(4915,plain,
% 38.98/25.47 (~v90(constB35, bitIndex1)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4914, 4906])).
% 38.98/25.47 tff(4916,plain,
% 38.98/25.47 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB33)) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB33)) | v130(constB33, bitIndex0))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4917,plain,
% 38.98/25.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB33)) | v130(constB33, bitIndex0))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4918,plain,
% 38.98/25.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB33)) | v130(constB33, bitIndex0)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4917, 4916])).
% 38.98/25.47 tff(4919,plain,
% 38.98/25.47 (v130(constB33, bitIndex0)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4918, 2258, 4770])).
% 38.98/25.47 tff(4920,plain,
% 38.98/25.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4921,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4922,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 38.98/25.47 tff(4923,plain,
% 38.98/25.47 ((~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4922, 601, 4786])).
% 38.98/25.47 tff(4924,plain,
% 38.98/25.47 (v127(constB33, bitIndex0)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4923, 4919])).
% 38.98/25.47 tff(4925,plain,
% 38.98/25.47 (((~![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))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4926,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4927,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4926, 4925])).
% 38.98/25.47 tff(4928,plain,
% 38.98/25.47 ((~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4927, 616, 4798])).
% 38.98/25.47 tff(4929,plain,
% 38.98/25.47 (v129(constB34, bitIndex0)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4928, 4924])).
% 38.98/25.47 tff(4930,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4931,plain,
% 38.98/25.47 ((v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0))) <=> (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4932,plain,
% 38.98/25.47 (((~![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))))),
% 38.98/25.47 inference(monotonicity,[status(thm)],[4931])).
% 38.98/25.47 tff(4933,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(transitivity,[status(thm)],[4932, 4930])).
% 38.98/25.47 tff(4934,plain,
% 38.98/25.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4935,plain,
% 38.98/25.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 38.98/25.47 tff(4936,plain,
% 38.98/25.47 (v90(constB34, bitIndex0) | (~v100(constB34))),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4935, 631, 4929])).
% 38.98/25.47 tff(4937,plain,
% 38.98/25.47 (v90(constB34, bitIndex0)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4936, 4832])).
% 38.98/25.47 tff(4938,plain,
% 38.98/25.47 (((~![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))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4939,plain,
% 38.98/25.47 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0)) <=> ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4940,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(monotonicity,[status(thm)],[4939])).
% 38.98/25.47 tff(4941,plain,
% 38.98/25.47 (((~![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))),
% 38.98/25.47 inference(transitivity,[status(thm)],[4940, 4938])).
% 38.98/25.47 tff(4942,plain,
% 38.98/25.47 ((~![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))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4943,plain,
% 38.98/25.47 ((~![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)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 38.98/25.47 tff(4944,plain,
% 38.98/25.47 ((~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4943, 649, 4860])).
% 38.98/25.47 tff(4945,plain,
% 38.98/25.47 ((~v90(constB34, bitIndex0)) | v90(constB35, bitIndex0)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4944, 4872])).
% 38.98/25.47 tff(4946,plain,
% 38.98/25.47 (v90(constB35, bitIndex0)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4945, 4937])).
% 38.98/25.47 tff(4947,plain,
% 38.98/25.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4948,plain,
% 38.98/25.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4949,plain,
% 38.98/25.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4948, 4947])).
% 38.98/25.47 tff(4950,plain,
% 38.98/25.47 (v124(constB35)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4949, 1264, 4946, 4915, 4881])).
% 38.98/25.47 tff(4951,plain,
% 38.98/25.47 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB35) | (~v124(constB35)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB35) | (~v124(constB35)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4952,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB35) | (~v124(constB35)))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4953,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB35) | (~v124(constB35))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4952, 4951])).
% 38.98/25.47 tff(4954,plain,
% 38.98/25.47 (v114(constB35)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4953, 1236, 4950])).
% 38.98/25.47 tff(4955,plain,
% 38.98/25.47 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB35) | (~v114(constB35)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB35) | (~v114(constB35)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4956,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB35) | (~v114(constB35)))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4957,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB35) | (~v114(constB35))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4956, 4955])).
% 38.98/25.47 tff(4958,plain,
% 38.98/25.47 (v113(constB35)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4957, 294, 4954])).
% 38.98/25.47 tff(4959,assumption,(v26(constB35)), introduced(assumption)).
% 38.98/25.47 tff(4960,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4961,plain,
% 38.98/25.47 ($false),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4960, 86, 4959])).
% 38.98/25.47 tff(4962,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 38.98/25.47 tff(4963,plain,
% 38.98/25.47 (((~![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))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4964,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4965,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4964, 4963])).
% 38.98/25.47 tff(4966,plain,
% 38.98/25.47 ((~v113(constB35)) | v112(constB35)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4965, 308, 4962])).
% 38.98/25.47 tff(4967,plain,
% 38.98/25.47 (v112(constB35)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4966, 4958])).
% 38.98/25.47 tff(4968,plain,
% 38.98/25.47 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4969,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4970,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4969, 4968])).
% 38.98/25.47 tff(4971,plain,
% 38.98/25.47 (v108(constB35)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4970, 320, 4967])).
% 38.98/25.47 tff(4972,plain,
% 38.98/25.47 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4973,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 38.98/25.47 tff(4974,plain,
% 38.98/25.47 (nextState(constB35, constB36)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 38.98/25.47 tff(4975,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4976,plain,
% 38.98/25.47 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4977,plain,
% 38.98/25.47 (((~![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))))),
% 38.98/25.47 inference(monotonicity,[status(thm)],[4976])).
% 38.98/25.47 tff(4978,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(transitivity,[status(thm)],[4977, 4975])).
% 38.98/25.47 tff(4979,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4980,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4979, 4978])).
% 38.98/25.47 tff(4981,plain,
% 38.98/25.47 (v110(constB36) | (~v108(constB35))),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4980, 337, 4974])).
% 38.98/25.47 tff(4982,plain,
% 38.98/25.47 (v110(constB36)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4981, 4971])).
% 38.98/25.47 tff(4983,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4984,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4985,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 38.98/25.47 tff(4986,plain,
% 38.98/25.47 (~v104(constB36)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4985, 355, 4974, 4857])).
% 38.98/25.47 tff(4987,plain,
% 38.98/25.47 (((~![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))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4988,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4989,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 38.98/25.47 tff(4990,plain,
% 38.98/25.47 (v102(constB36) | v104(constB36)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4989, 369, 4974])).
% 38.98/25.47 tff(4991,plain,
% 38.98/25.47 (v102(constB36)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4990, 4986])).
% 38.98/25.47 tff(4992,plain,
% 38.98/25.47 (v1(constB36) <=> v1(constB36)),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4993,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 38.98/25.47 tff(4994,plain,
% 38.98/25.47 (v1(constB36)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 38.98/25.47 tff(4995,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(4996,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(4997,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[4996, 4995])).
% 38.98/25.47 tff(4998,plain,
% 38.98/25.47 (v101(constB36) | (~v102(constB36))),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4997, 387, 4974, 4994])).
% 38.98/25.47 tff(4999,plain,
% 38.98/25.47 (v101(constB36)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[4998, 4991])).
% 38.98/25.47 tff(5000,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(5001,plain,
% 38.98/25.47 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(5002,plain,
% 38.98/25.47 (((~![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))))),
% 38.98/25.47 inference(monotonicity,[status(thm)],[5001])).
% 38.98/25.47 tff(5003,plain,
% 38.98/25.47 (((~![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)))),
% 38.98/25.47 inference(transitivity,[status(thm)],[5002, 5000])).
% 38.98/25.47 tff(5004,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(5005,plain,
% 38.98/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[5004, 5003])).
% 38.98/25.47 tff(5006,plain,
% 38.98/25.47 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[5005, 402, 4974])).
% 38.98/25.47 tff(5007,plain,
% 38.98/25.47 (v100(constB36) | (~v110(constB36))),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[5006, 4999])).
% 38.98/25.47 tff(5008,plain,
% 38.98/25.47 (v100(constB36)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[5007, 4982])).
% 38.98/25.47 tff(5009,plain,
% 38.98/25.47 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB35)) | v130(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB35)) | v130(constB35, bitIndex2))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(5010,plain,
% 38.98/25.47 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB35)) | v130(constB35, bitIndex2))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(5011,plain,
% 38.98/25.47 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB35)) | v130(constB35, bitIndex2)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 38.98/25.47 tff(5012,plain,
% 38.98/25.47 (v130(constB35, bitIndex2)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[5011, 2303, 4950])).
% 38.98/25.47 tff(5013,plain,
% 38.98/25.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))),
% 38.98/25.47 inference(rewrite,[status(thm)],[])).
% 38.98/25.47 tff(5014,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))),
% 38.98/25.47 inference(quant_inst,[status(thm)],[])).
% 38.98/25.47 tff(5015,plain,
% 38.98/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2)),
% 38.98/25.47 inference(modus_ponens,[status(thm)],[5014, 5013])).
% 38.98/25.47 tff(5016,plain,
% 38.98/25.47 ((~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[5015, 1821, 4962])).
% 38.98/25.47 tff(5017,plain,
% 38.98/25.47 (v127(constB35, bitIndex2)),
% 38.98/25.47 inference(unit_resolution,[status(thm)],[5016, 5012])).
% 38.98/25.47 tff(5018,plain,
% 38.98/25.47 (((~![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))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5019,plain,
% 38.98/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5020,plain,
% 38.98/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5019, 5018])).
% 38.98/25.48 tff(5021,plain,
% 38.98/25.48 ((~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5020, 1836, 4974])).
% 38.98/25.48 tff(5022,plain,
% 38.98/25.48 (v129(constB36, bitIndex2)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5021, 5017])).
% 38.98/25.48 tff(5023,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5024,plain,
% 38.98/25.48 ((v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2))) <=> (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5025,plain,
% 38.98/25.48 (((~![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))))),
% 38.98/25.48 inference(monotonicity,[status(thm)],[5024])).
% 38.98/25.48 tff(5026,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(transitivity,[status(thm)],[5025, 5023])).
% 38.98/25.48 tff(5027,plain,
% 38.98/25.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5028,plain,
% 38.98/25.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36))),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5027, 5026])).
% 38.98/25.48 tff(5029,plain,
% 38.98/25.48 (v90(constB36, bitIndex2) | (~v100(constB36))),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5028, 2100, 5022])).
% 38.98/25.48 tff(5030,plain,
% 38.98/25.48 (v90(constB36, bitIndex2)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5029, 5008])).
% 38.98/25.48 tff(5031,plain,
% 38.98/25.48 ((~v1(constB37)) <=> (~v1(constB37))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5032,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 38.98/25.48 tff(5033,plain,
% 38.98/25.48 (~v1(constB37)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5032, 5031])).
% 38.98/25.48 tff(5034,plain,
% 38.98/25.48 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5035,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 38.98/25.48 tff(5036,plain,
% 38.98/25.48 (nextState(constB36, constB37)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5035, 5034])).
% 38.98/25.48 tff(5037,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5038,plain,
% 38.98/25.48 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5039,plain,
% 38.98/25.48 (((~![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))))),
% 38.98/25.48 inference(monotonicity,[status(thm)],[5038])).
% 38.98/25.48 tff(5040,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(transitivity,[status(thm)],[5039, 5037])).
% 38.98/25.48 tff(5041,plain,
% 38.98/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5042,plain,
% 38.98/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 38.98/25.48 tff(5043,plain,
% 38.98/25.48 (~v101(constB37)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5042, 133, 5036, 5033])).
% 38.98/25.48 tff(5044,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5045,plain,
% 38.98/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5046,plain,
% 38.98/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5045, 5044])).
% 38.98/25.48 tff(5047,plain,
% 38.98/25.48 (v101(constB37) | (~v100(constB37))),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5046, 150, 5036])).
% 38.98/25.48 tff(5048,plain,
% 38.98/25.48 (~v100(constB37)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5047, 5043])).
% 38.98/25.48 tff(5049,plain,
% 38.98/25.48 (((~![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))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5050,plain,
% 38.98/25.48 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2)) <=> ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5051,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(monotonicity,[status(thm)],[5050])).
% 38.98/25.48 tff(5052,plain,
% 38.98/25.48 (((~![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))),
% 38.98/25.48 inference(transitivity,[status(thm)],[5051, 5049])).
% 38.98/25.48 tff(5053,plain,
% 38.98/25.48 ((~![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))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5054,plain,
% 38.98/25.48 ((~![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)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5053, 5052])).
% 38.98/25.48 tff(5055,plain,
% 38.98/25.48 ((~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5054, 2118, 5036])).
% 38.98/25.48 tff(5056,plain,
% 38.98/25.48 ((~v90(constB36, bitIndex2)) | v90(constB37, bitIndex2)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5055, 5048])).
% 38.98/25.48 tff(5057,plain,
% 38.98/25.48 (v90(constB37, bitIndex2)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5056, 5030])).
% 38.98/25.48 tff(5058,plain,
% 38.98/25.48 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB35)) | v130(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB35)) | v130(constB35, bitIndex1))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5059,plain,
% 38.98/25.48 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB35)) | v130(constB35, bitIndex1))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5060,plain,
% 38.98/25.48 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB35)) | v130(constB35, bitIndex1)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5059, 5058])).
% 38.98/25.48 tff(5061,plain,
% 38.98/25.48 (v130(constB35, bitIndex1)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5060, 2347, 4950])).
% 38.98/25.48 tff(5062,plain,
% 38.98/25.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5063,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5064,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5063, 5062])).
% 38.98/25.48 tff(5065,plain,
% 38.98/25.48 ((~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5064, 882, 4962])).
% 38.98/25.48 tff(5066,plain,
% 38.98/25.48 (v127(constB35, bitIndex1)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5065, 5061])).
% 38.98/25.48 tff(5067,plain,
% 38.98/25.48 (((~![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))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5068,plain,
% 38.98/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5069,plain,
% 38.98/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 38.98/25.48 tff(5070,plain,
% 38.98/25.48 ((~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5069, 897, 4974])).
% 38.98/25.48 tff(5071,plain,
% 38.98/25.48 (v129(constB36, bitIndex1)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5070, 5066])).
% 38.98/25.48 tff(5072,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5073,plain,
% 38.98/25.48 ((v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1))) <=> (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5074,plain,
% 38.98/25.48 (((~![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))))),
% 38.98/25.48 inference(monotonicity,[status(thm)],[5073])).
% 38.98/25.48 tff(5075,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(transitivity,[status(thm)],[5074, 5072])).
% 38.98/25.48 tff(5076,plain,
% 38.98/25.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5077,plain,
% 38.98/25.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5076, 5075])).
% 38.98/25.48 tff(5078,plain,
% 38.98/25.48 (v90(constB36, bitIndex1) | (~v100(constB36))),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5077, 912, 5071])).
% 38.98/25.48 tff(5079,plain,
% 38.98/25.48 (v90(constB36, bitIndex1)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5078, 5008])).
% 38.98/25.48 tff(5080,plain,
% 38.98/25.48 (((~![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))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5081,plain,
% 38.98/25.48 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)) <=> ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5082,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(monotonicity,[status(thm)],[5081])).
% 38.98/25.48 tff(5083,plain,
% 38.98/25.48 (((~![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))),
% 38.98/25.48 inference(transitivity,[status(thm)],[5082, 5080])).
% 38.98/25.48 tff(5084,plain,
% 38.98/25.48 ((~![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))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5085,plain,
% 38.98/25.48 ((~![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)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 38.98/25.48 tff(5086,plain,
% 38.98/25.48 ((~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5085, 1049, 5036])).
% 38.98/25.48 tff(5087,plain,
% 38.98/25.48 ((~v90(constB36, bitIndex1)) | v90(constB37, bitIndex1)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5086, 5048])).
% 38.98/25.48 tff(5088,plain,
% 38.98/25.48 (v90(constB37, bitIndex1)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5087, 5079])).
% 38.98/25.48 tff(5089,plain,
% 38.98/25.48 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB35)) | (~v130(constB35, bitIndex0)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5090,plain,
% 38.98/25.48 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex0)))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5091,plain,
% 38.98/25.48 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB35)) | (~v130(constB35, bitIndex0))),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5090, 5089])).
% 38.98/25.48 tff(5092,plain,
% 38.98/25.48 (~v130(constB35, bitIndex0)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5091, 1519, 4950])).
% 38.98/25.48 tff(5093,plain,
% 38.98/25.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5094,plain,
% 38.98/25.48 ((v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0))) <=> ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5095,plain,
% 38.98/25.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)))),
% 38.98/25.48 inference(monotonicity,[status(thm)],[5094])).
% 38.98/25.48 tff(5096,plain,
% 38.98/25.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 38.98/25.48 inference(transitivity,[status(thm)],[5095, 5093])).
% 38.98/25.48 tff(5097,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5098,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5097, 5096])).
% 38.98/25.48 tff(5099,plain,
% 38.98/25.48 ((~v127(constB35, bitIndex0)) | v130(constB35, bitIndex0)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5098, 944, 4962])).
% 38.98/25.48 tff(5100,plain,
% 38.98/25.48 (~v127(constB35, bitIndex0)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5099, 5092])).
% 38.98/25.48 tff(5101,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5102,plain,
% 38.98/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5103,plain,
% 38.98/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5102, 5101])).
% 38.98/25.48 tff(5104,plain,
% 38.98/25.48 (v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5103, 962, 4974])).
% 38.98/25.48 tff(5105,plain,
% 38.98/25.48 (~v129(constB36, bitIndex0)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5104, 5100])).
% 38.98/25.48 tff(5106,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5107,plain,
% 38.98/25.48 (((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0)) <=> ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5108,plain,
% 38.98/25.48 (((~![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))))),
% 38.98/25.48 inference(monotonicity,[status(thm)],[5107])).
% 38.98/25.48 tff(5109,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(transitivity,[status(thm)],[5108, 5106])).
% 38.98/25.48 tff(5110,plain,
% 38.98/25.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5111,plain,
% 38.98/25.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5110, 5109])).
% 38.98/25.48 tff(5112,plain,
% 38.98/25.48 ((~v90(constB36, bitIndex0)) | (~v100(constB36))),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5111, 977, 5105])).
% 38.98/25.48 tff(5113,plain,
% 38.98/25.48 (~v90(constB36, bitIndex0)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5112, 5008])).
% 38.98/25.48 tff(5114,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5115,plain,
% 38.98/25.48 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))) <=> (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5116,plain,
% 38.98/25.48 (((~![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))))),
% 38.98/25.48 inference(monotonicity,[status(thm)],[5115])).
% 38.98/25.48 tff(5117,plain,
% 38.98/25.48 (((~![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)))),
% 38.98/25.48 inference(transitivity,[status(thm)],[5116, 5114])).
% 38.98/25.48 tff(5118,plain,
% 38.98/25.48 ((~![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)))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5119,plain,
% 38.98/25.48 ((~![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))),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5118, 5117])).
% 38.98/25.48 tff(5120,plain,
% 38.98/25.48 (v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5119, 207, 5036])).
% 38.98/25.48 tff(5121,plain,
% 38.98/25.48 (v90(constB36, bitIndex0) | (~v90(constB37, bitIndex0))),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5120, 5048])).
% 38.98/25.48 tff(5122,plain,
% 38.98/25.48 (~v90(constB37, bitIndex0)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5121, 5113])).
% 38.98/25.48 tff(5123,plain,
% 38.98/25.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5124,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5125,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 38.98/25.48 tff(5126,plain,
% 38.98/25.48 (v125(constB37)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5125, 1308, 5122, 5088, 5057])).
% 38.98/25.48 tff(5127,plain,
% 38.98/25.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB37) | (~v125(constB37)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB37) | (~v125(constB37)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5128,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB37) | (~v125(constB37)))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5129,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB37) | (~v125(constB37))),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5128, 5127])).
% 38.98/25.48 tff(5130,plain,
% 38.98/25.48 (v113(constB37)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5129, 1294, 5126])).
% 38.98/25.48 tff(5131,assumption,(v26(constB37)), introduced(assumption)).
% 38.98/25.48 tff(5132,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5133,plain,
% 38.98/25.48 ($false),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5132, 86, 5131])).
% 38.98/25.48 tff(5134,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 38.98/25.48 tff(5135,plain,
% 38.98/25.48 (((~![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))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5136,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5137,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | (~v113(constB37)) | v112(constB37)),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5136, 5135])).
% 38.98/25.48 tff(5138,plain,
% 38.98/25.48 ((~v113(constB37)) | v112(constB37)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5137, 308, 5134])).
% 38.98/25.48 tff(5139,plain,
% 38.98/25.48 (v112(constB37)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5138, 5130])).
% 38.98/25.48 tff(5140,plain,
% 38.98/25.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37)))),
% 38.98/25.48 inference(rewrite,[status(thm)],[])).
% 38.98/25.48 tff(5141,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))),
% 38.98/25.48 inference(quant_inst,[status(thm)],[])).
% 38.98/25.48 tff(5142,plain,
% 38.98/25.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37))),
% 38.98/25.48 inference(modus_ponens,[status(thm)],[5141, 5140])).
% 38.98/25.48 tff(5143,plain,
% 38.98/25.48 (v108(constB37)),
% 38.98/25.48 inference(unit_resolution,[status(thm)],[5142, 320, 5139])).
% 38.98/25.48 tff(5144,plain,
% 38.98/25.48 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5145,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 38.98/25.49 tff(5146,plain,
% 38.98/25.49 (nextState(constB37, constB38)),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5145, 5144])).
% 38.98/25.49 tff(5147,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5148,plain,
% 38.98/25.49 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5149,plain,
% 38.98/25.49 (((~![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))))),
% 38.98/25.49 inference(monotonicity,[status(thm)],[5148])).
% 38.98/25.49 tff(5150,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(transitivity,[status(thm)],[5149, 5147])).
% 38.98/25.49 tff(5151,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5152,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5151, 5150])).
% 38.98/25.49 tff(5153,plain,
% 38.98/25.49 (v110(constB38) | (~v108(constB37))),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5152, 337, 5146])).
% 38.98/25.49 tff(5154,plain,
% 38.98/25.49 (v110(constB38)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5153, 5143])).
% 38.98/25.49 tff(5155,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5156,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5157,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5156, 5155])).
% 38.98/25.49 tff(5158,plain,
% 38.98/25.49 (~v104(constB38)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5157, 355, 5146, 5033])).
% 38.98/25.49 tff(5159,plain,
% 38.98/25.49 (((~![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))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5160,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5161,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5160, 5159])).
% 38.98/25.49 tff(5162,plain,
% 38.98/25.49 (v102(constB38) | v104(constB38)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5161, 369, 5146])).
% 38.98/25.49 tff(5163,plain,
% 38.98/25.49 (v102(constB38)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5162, 5158])).
% 38.98/25.49 tff(5164,plain,
% 38.98/25.49 (v1(constB38) <=> v1(constB38)),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5165,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 38.98/25.49 tff(5166,plain,
% 38.98/25.49 (v1(constB38)),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5165, 5164])).
% 38.98/25.49 tff(5167,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5168,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5169,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5168, 5167])).
% 38.98/25.49 tff(5170,plain,
% 38.98/25.49 (v101(constB38) | (~v102(constB38))),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5169, 387, 5146, 5166])).
% 38.98/25.49 tff(5171,plain,
% 38.98/25.49 (v101(constB38)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5170, 5163])).
% 38.98/25.49 tff(5172,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5173,plain,
% 38.98/25.49 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5174,plain,
% 38.98/25.49 (((~![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))))),
% 38.98/25.49 inference(monotonicity,[status(thm)],[5173])).
% 38.98/25.49 tff(5175,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(transitivity,[status(thm)],[5174, 5172])).
% 38.98/25.49 tff(5176,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5177,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 38.98/25.49 tff(5178,plain,
% 38.98/25.49 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5177, 402, 5146])).
% 38.98/25.49 tff(5179,plain,
% 38.98/25.49 (v100(constB38) | (~v110(constB38))),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5178, 5171])).
% 38.98/25.49 tff(5180,plain,
% 38.98/25.49 (v100(constB38)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5179, 5154])).
% 38.98/25.49 tff(5181,plain,
% 38.98/25.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v120(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v120(constB37)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5182,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v120(constB37)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5183,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v120(constB37))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5182, 5181])).
% 38.98/25.49 tff(5184,plain,
% 38.98/25.49 (~v120(constB37)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5183, 2615, 5088])).
% 38.98/25.49 tff(5185,plain,
% 38.98/25.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v121(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v121(constB37)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5186,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v121(constB37)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5187,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v121(constB37))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5186, 5185])).
% 38.98/25.49 tff(5188,plain,
% 38.98/25.49 (~v121(constB37)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5187, 2586, 5057])).
% 38.98/25.49 tff(5189,plain,
% 38.98/25.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v122(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v122(constB37)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5190,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v122(constB37)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5191,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v122(constB37))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5190, 5189])).
% 38.98/25.49 tff(5192,plain,
% 38.98/25.49 (~v122(constB37)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5191, 3526, 5057])).
% 38.98/25.49 tff(5193,plain,
% 38.98/25.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v124(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v124(constB37)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5194,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v124(constB37)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5195,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v124(constB37))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5194, 5193])).
% 38.98/25.49 tff(5196,plain,
% 38.98/25.49 (~v124(constB37)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5195, 2637, 5088])).
% 38.98/25.49 tff(5197,plain,
% 38.98/25.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v123(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v123(constB37)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5198,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v123(constB37)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5199,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v123(constB37))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5198, 5197])).
% 38.98/25.49 tff(5200,plain,
% 38.98/25.49 (~v123(constB37)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5199, 2626, 5088])).
% 38.98/25.49 tff(5201,plain,
% 38.98/25.49 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB37)) | (~v90(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB37)) | (~v90(constB37, bitIndex1)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5202,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB37)) | (~v90(constB37, bitIndex1)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5203,plain,
% 38.98/25.49 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB37)) | (~v90(constB37, bitIndex1))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5202, 5201])).
% 38.98/25.49 tff(5204,plain,
% 38.98/25.49 (~v119(constB37)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5203, 2604, 5088])).
% 38.98/25.49 tff(5205,plain,
% 38.98/25.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5206,plain,
% 38.98/25.49 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2))) <=> (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5207,plain,
% 38.98/25.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2))))),
% 38.98/25.49 inference(monotonicity,[status(thm)],[5206])).
% 38.98/25.49 tff(5208,plain,
% 38.98/25.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2)))),
% 38.98/25.49 inference(transitivity,[status(thm)],[5207, 5205])).
% 38.98/25.49 tff(5209,plain,
% 38.98/25.49 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5210,plain,
% 38.98/25.49 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5209, 5208])).
% 38.98/25.49 tff(5211,plain,
% 38.98/25.49 (~v130(constB37, bitIndex2)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5210, 1993, 5204, 5200, 5196, 5192, 5188, 5184])).
% 38.98/25.49 tff(5212,plain,
% 38.98/25.49 (((~![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))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5213,plain,
% 38.98/25.49 ((v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2))) <=> ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5214,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(monotonicity,[status(thm)],[5213])).
% 38.98/25.49 tff(5215,plain,
% 38.98/25.49 (((~![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))),
% 38.98/25.49 inference(transitivity,[status(thm)],[5214, 5212])).
% 38.98/25.49 tff(5216,plain,
% 38.98/25.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5217,plain,
% 38.98/25.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5216, 5215])).
% 38.98/25.49 tff(5218,plain,
% 38.98/25.49 ((~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5217, 435, 5134])).
% 38.98/25.49 tff(5219,plain,
% 38.98/25.49 (~v127(constB37, bitIndex2)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5218, 5211])).
% 38.98/25.49 tff(5220,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5221,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5222,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5221, 5220])).
% 38.98/25.49 tff(5223,plain,
% 38.98/25.49 (v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5222, 453, 5146])).
% 38.98/25.49 tff(5224,plain,
% 38.98/25.49 (~v129(constB38, bitIndex2)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5223, 5219])).
% 38.98/25.49 tff(5225,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5226,plain,
% 38.98/25.49 (((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2)) <=> ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5227,plain,
% 38.98/25.49 (((~![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))))),
% 38.98/25.49 inference(monotonicity,[status(thm)],[5226])).
% 38.98/25.49 tff(5228,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(transitivity,[status(thm)],[5227, 5225])).
% 38.98/25.49 tff(5229,plain,
% 38.98/25.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5230,plain,
% 38.98/25.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5229, 5228])).
% 38.98/25.49 tff(5231,plain,
% 38.98/25.49 ((~v90(constB38, bitIndex2)) | (~v100(constB38))),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5230, 468, 5224])).
% 38.98/25.49 tff(5232,plain,
% 38.98/25.49 (~v90(constB38, bitIndex2)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5231, 5180])).
% 38.98/25.49 tff(5233,plain,
% 38.98/25.49 ((~v1(constB39)) <=> (~v1(constB39))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5234,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 38.98/25.49 tff(5235,plain,
% 38.98/25.49 (~v1(constB39)),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5234, 5233])).
% 38.98/25.49 tff(5236,plain,
% 38.98/25.49 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5237,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 38.98/25.49 tff(5238,plain,
% 38.98/25.49 (nextState(constB38, constB39)),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5237, 5236])).
% 38.98/25.49 tff(5239,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5240,plain,
% 38.98/25.49 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5241,plain,
% 38.98/25.49 (((~![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))))),
% 38.98/25.49 inference(monotonicity,[status(thm)],[5240])).
% 38.98/25.49 tff(5242,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(transitivity,[status(thm)],[5241, 5239])).
% 38.98/25.49 tff(5243,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5244,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5243, 5242])).
% 38.98/25.49 tff(5245,plain,
% 38.98/25.49 (~v101(constB39)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5244, 133, 5238, 5235])).
% 38.98/25.49 tff(5246,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5247,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5248,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5247, 5246])).
% 38.98/25.49 tff(5249,plain,
% 38.98/25.49 (v101(constB39) | (~v100(constB39))),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5248, 150, 5238])).
% 38.98/25.49 tff(5250,plain,
% 38.98/25.49 (~v100(constB39)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5249, 5245])).
% 38.98/25.49 tff(5251,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5252,plain,
% 38.98/25.49 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5253,plain,
% 38.98/25.49 (((~![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))))),
% 38.98/25.49 inference(monotonicity,[status(thm)],[5252])).
% 38.98/25.49 tff(5254,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(transitivity,[status(thm)],[5253, 5251])).
% 38.98/25.49 tff(5255,plain,
% 38.98/25.49 ((~![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)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5256,plain,
% 38.98/25.49 ((~![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))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5255, 5254])).
% 38.98/25.49 tff(5257,plain,
% 38.98/25.49 (v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5256, 165, 5238])).
% 38.98/25.49 tff(5258,plain,
% 38.98/25.49 (v90(constB38, bitIndex2) | (~v90(constB39, bitIndex2))),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5257, 5250])).
% 38.98/25.49 tff(5259,plain,
% 38.98/25.49 (~v90(constB39, bitIndex2)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5258, 5232])).
% 38.98/25.49 tff(5260,plain,
% 38.98/25.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5261,plain,
% 38.98/25.49 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1))) <=> (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5262,plain,
% 38.98/25.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1))))),
% 38.98/25.49 inference(monotonicity,[status(thm)],[5261])).
% 38.98/25.49 tff(5263,plain,
% 38.98/25.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))),
% 38.98/25.49 inference(transitivity,[status(thm)],[5262, 5260])).
% 38.98/25.49 tff(5264,plain,
% 38.98/25.49 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5265,plain,
% 38.98/25.49 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5264, 5263])).
% 38.98/25.49 tff(5266,plain,
% 38.98/25.49 (~v130(constB37, bitIndex1)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5265, 1562, 5204, 5200, 5196, 5192, 5188, 5184])).
% 38.98/25.49 tff(5267,plain,
% 38.98/25.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5268,plain,
% 38.98/25.49 ((v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1))) <=> ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5269,plain,
% 38.98/25.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)))),
% 38.98/25.49 inference(monotonicity,[status(thm)],[5268])).
% 38.98/25.49 tff(5270,plain,
% 38.98/25.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 38.98/25.49 inference(transitivity,[status(thm)],[5269, 5267])).
% 38.98/25.49 tff(5271,plain,
% 38.98/25.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5272,plain,
% 38.98/25.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 38.98/25.49 tff(5273,plain,
% 38.98/25.49 ((~v127(constB37, bitIndex1)) | v130(constB37, bitIndex1)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5272, 527, 5134])).
% 38.98/25.49 tff(5274,plain,
% 38.98/25.49 (~v127(constB37, bitIndex1)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5273, 5266])).
% 38.98/25.49 tff(5275,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5276,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 38.98/25.49 inference(quant_inst,[status(thm)],[])).
% 38.98/25.49 tff(5277,plain,
% 38.98/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 38.98/25.49 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 38.98/25.49 tff(5278,plain,
% 38.98/25.49 (v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5277, 545, 5146])).
% 38.98/25.49 tff(5279,plain,
% 38.98/25.49 (~v129(constB38, bitIndex1)),
% 38.98/25.49 inference(unit_resolution,[status(thm)],[5278, 5274])).
% 38.98/25.49 tff(5280,plain,
% 38.98/25.49 (((~![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)))),
% 38.98/25.49 inference(rewrite,[status(thm)],[])).
% 38.98/25.49 tff(5281,plain,
% 38.98/25.49 (((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 38.98/25.50 inference(rewrite,[status(thm)],[])).
% 38.98/25.50 tff(5282,plain,
% 38.98/25.50 (((~![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))))),
% 38.98/25.50 inference(monotonicity,[status(thm)],[5281])).
% 38.98/25.50 tff(5283,plain,
% 38.98/25.50 (((~![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)))),
% 38.98/25.50 inference(transitivity,[status(thm)],[5282, 5280])).
% 38.98/25.50 tff(5284,plain,
% 38.98/25.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))),
% 38.98/25.50 inference(quant_inst,[status(thm)],[])).
% 38.98/25.50 tff(5285,plain,
% 38.98/25.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))),
% 38.98/25.50 inference(modus_ponens,[status(thm)],[5284, 5283])).
% 38.98/25.50 tff(5286,plain,
% 38.98/25.50 ((~v90(constB38, bitIndex1)) | (~v100(constB38))),
% 38.98/25.50 inference(unit_resolution,[status(thm)],[5285, 560, 5279])).
% 38.98/25.50 tff(5287,plain,
% 38.98/25.50 (~v90(constB38, bitIndex1)),
% 38.98/25.50 inference(unit_resolution,[status(thm)],[5286, 5180])).
% 38.98/25.50 tff(5288,plain,
% 38.98/25.50 (((~![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)))),
% 38.98/25.50 inference(rewrite,[status(thm)],[])).
% 38.98/25.50 tff(5289,plain,
% 38.98/25.50 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 38.98/25.50 inference(rewrite,[status(thm)],[])).
% 38.98/25.50 tff(5290,plain,
% 38.98/25.50 (((~![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))))),
% 38.98/25.50 inference(monotonicity,[status(thm)],[5289])).
% 38.98/25.50 tff(5291,plain,
% 38.98/25.50 (((~![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)))),
% 38.98/25.50 inference(transitivity,[status(thm)],[5290, 5288])).
% 38.98/25.50 tff(5292,plain,
% 38.98/25.50 ((~![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)))),
% 38.98/25.50 inference(quant_inst,[status(thm)],[])).
% 38.98/25.50 tff(5293,plain,
% 38.98/25.50 ((~![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))),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5292, 5291])).
% 39.06/25.50 tff(5294,plain,
% 39.06/25.50 (v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5293, 186, 5238])).
% 39.06/25.50 tff(5295,plain,
% 39.06/25.50 (v90(constB38, bitIndex1) | (~v90(constB39, bitIndex1))),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5294, 5250])).
% 39.06/25.50 tff(5296,plain,
% 39.06/25.50 (~v90(constB39, bitIndex1)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5295, 5287])).
% 39.06/25.50 tff(5297,assumption,(~v120(constB37)), introduced(assumption)).
% 39.06/25.50 tff(5298,assumption,(~v121(constB37)), introduced(assumption)).
% 39.06/25.50 tff(5299,assumption,(~v122(constB37)), introduced(assumption)).
% 39.06/25.50 tff(5300,assumption,(~v123(constB37)), introduced(assumption)).
% 39.06/25.50 tff(5301,assumption,(~v130(constB37, bitIndex0)), introduced(assumption)).
% 39.06/25.50 tff(5302,assumption,(~v124(constB37)), introduced(assumption)).
% 39.06/25.50 tff(5303,plain,
% 39.06/25.50 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5304,plain,
% 39.06/25.50 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0)) <=> (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5305,plain,
% 39.06/25.50 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0)))),
% 39.06/25.50 inference(monotonicity,[status(thm)],[5304])).
% 39.06/25.50 tff(5306,plain,
% 39.06/25.50 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))),
% 39.06/25.50 inference(transitivity,[status(thm)],[5305, 5303])).
% 39.06/25.50 tff(5307,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5308,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0)),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 39.06/25.50 tff(5309,plain,
% 39.06/25.50 (v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5308, 2753, 5302])).
% 39.06/25.50 tff(5310,plain,
% 39.06/25.50 (v119(constB37)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5309, 5301, 5300, 5299, 5298, 5297])).
% 39.06/25.50 tff(5311,plain,
% 39.06/25.50 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB37)) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB37)) | v130(constB37, bitIndex0))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5312,plain,
% 39.06/25.50 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB37)) | v130(constB37, bitIndex0))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5313,plain,
% 39.06/25.50 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB37)) | v130(constB37, bitIndex0)),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5312, 5311])).
% 39.06/25.50 tff(5314,plain,
% 39.06/25.50 ($false),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5313, 587, 5301, 5310])).
% 39.06/25.50 tff(5315,plain,(v130(constB37, bitIndex0) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v124(constB37)), inference(lemma,lemma(discharge,[]))).
% 39.06/25.50 tff(5316,plain,
% 39.06/25.50 (v130(constB37, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5315, 5200, 5184, 5192, 5196, 5188])).
% 39.06/25.50 tff(5317,plain,
% 39.06/25.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5318,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5319,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5318, 5317])).
% 39.06/25.50 tff(5320,plain,
% 39.06/25.50 ((~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5319, 601, 5134])).
% 39.06/25.50 tff(5321,plain,
% 39.06/25.50 (v127(constB37, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5320, 5316])).
% 39.06/25.50 tff(5322,plain,
% 39.06/25.50 (((~![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))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5323,plain,
% 39.06/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5324,plain,
% 39.06/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5323, 5322])).
% 39.06/25.50 tff(5325,plain,
% 39.06/25.50 ((~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5324, 616, 5146])).
% 39.06/25.50 tff(5326,plain,
% 39.06/25.50 (v129(constB38, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5325, 5321])).
% 39.06/25.50 tff(5327,plain,
% 39.06/25.50 (((~![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)))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5328,plain,
% 39.06/25.50 ((v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0))) <=> (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5329,plain,
% 39.06/25.50 (((~![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))))),
% 39.06/25.50 inference(monotonicity,[status(thm)],[5328])).
% 39.06/25.50 tff(5330,plain,
% 39.06/25.50 (((~![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)))),
% 39.06/25.50 inference(transitivity,[status(thm)],[5329, 5327])).
% 39.06/25.50 tff(5331,plain,
% 39.06/25.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5332,plain,
% 39.06/25.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5331, 5330])).
% 39.06/25.50 tff(5333,plain,
% 39.06/25.50 (v90(constB38, bitIndex0) | (~v100(constB38))),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5332, 631, 5326])).
% 39.06/25.50 tff(5334,plain,
% 39.06/25.50 (v90(constB38, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5333, 5180])).
% 39.06/25.50 tff(5335,plain,
% 39.06/25.50 (((~![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))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5336,plain,
% 39.06/25.50 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0)) <=> ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5337,plain,
% 39.06/25.50 (((~![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)))),
% 39.06/25.50 inference(monotonicity,[status(thm)],[5336])).
% 39.06/25.50 tff(5338,plain,
% 39.06/25.50 (((~![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))),
% 39.06/25.50 inference(transitivity,[status(thm)],[5337, 5335])).
% 39.06/25.50 tff(5339,plain,
% 39.06/25.50 ((~![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))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5340,plain,
% 39.06/25.50 ((~![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)),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5339, 5338])).
% 39.06/25.50 tff(5341,plain,
% 39.06/25.50 ((~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5340, 649, 5238])).
% 39.06/25.50 tff(5342,plain,
% 39.06/25.50 ((~v90(constB38, bitIndex0)) | v90(constB39, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5341, 5250])).
% 39.06/25.50 tff(5343,plain,
% 39.06/25.50 (v90(constB39, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5342, 5334])).
% 39.06/25.50 tff(5344,plain,
% 39.06/25.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5345,plain,
% 39.06/25.50 (((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)) <=> ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5346,plain,
% 39.06/25.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39)))),
% 39.06/25.50 inference(monotonicity,[status(thm)],[5345])).
% 39.06/25.50 tff(5347,plain,
% 39.06/25.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 39.06/25.50 inference(transitivity,[status(thm)],[5346, 5344])).
% 39.06/25.50 tff(5348,plain,
% 39.06/25.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5349,plain,
% 39.06/25.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39)),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5348, 5347])).
% 39.06/25.50 tff(5350,plain,
% 39.06/25.50 (v120(constB39)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5349, 668, 5343, 5296, 5259])).
% 39.06/25.50 tff(5351,plain,
% 39.06/25.50 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB39)) | (~v130(constB39, bitIndex2)))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5352,plain,
% 39.06/25.50 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex2)))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5353,plain,
% 39.06/25.50 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB39)) | (~v130(constB39, bitIndex2))),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 39.06/25.50 tff(5354,plain,
% 39.06/25.50 (~v130(constB39, bitIndex2)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5353, 685, 5350])).
% 39.06/25.50 tff(5355,assumption,(v26(constB39)), introduced(assumption)).
% 39.06/25.50 tff(5356,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5357,plain,
% 39.06/25.50 ($false),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5356, 86, 5355])).
% 39.06/25.50 tff(5358,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 39.06/25.50 tff(5359,plain,
% 39.06/25.50 (((~![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))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5360,plain,
% 39.06/25.50 ((v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2))) <=> ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5361,plain,
% 39.06/25.50 (((~![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)))),
% 39.06/25.50 inference(monotonicity,[status(thm)],[5360])).
% 39.06/25.50 tff(5362,plain,
% 39.06/25.50 (((~![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))),
% 39.06/25.50 inference(transitivity,[status(thm)],[5361, 5359])).
% 39.06/25.50 tff(5363,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5364,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 39.06/25.50 tff(5365,plain,
% 39.06/25.50 ((~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5364, 435, 5358])).
% 39.06/25.50 tff(5366,plain,
% 39.06/25.50 (~v127(constB39, bitIndex2)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5365, 5354])).
% 39.06/25.50 tff(5367,plain,
% 39.06/25.50 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5368,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 39.06/25.50 tff(5369,plain,
% 39.06/25.50 (nextState(constB39, constB40)),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5368, 5367])).
% 39.06/25.50 tff(5370,plain,
% 39.06/25.50 (((~![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)))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5371,plain,
% 39.06/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5372,plain,
% 39.06/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 39.06/25.50 tff(5373,plain,
% 39.06/25.50 (v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5372, 453, 5369])).
% 39.06/25.50 tff(5374,plain,
% 39.06/25.50 (~v129(constB40, bitIndex2)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5373, 5366])).
% 39.06/25.50 tff(5375,assumption,(v120(constB39)), introduced(assumption)).
% 39.06/25.50 tff(5376,plain,
% 39.06/25.50 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB39) | (~v120(constB39)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB39) | (~v120(constB39)))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5377,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB39) | (~v120(constB39)))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5378,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB39) | (~v120(constB39))),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 39.06/25.50 tff(5379,plain,
% 39.06/25.50 (v118(constB39)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5378, 778, 5375])).
% 39.06/25.50 tff(5380,plain,
% 39.06/25.50 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB39) | (~v118(constB39)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB39) | (~v118(constB39)))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5381,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB39) | (~v118(constB39)))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5382,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB39) | (~v118(constB39))),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5381, 5380])).
% 39.06/25.50 tff(5383,plain,
% 39.06/25.50 (v117(constB39)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5382, 250, 5379])).
% 39.06/25.50 tff(5384,plain,
% 39.06/25.50 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39)))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5385,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5386,plain,
% 39.06/25.50 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39))),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5385, 5384])).
% 39.06/25.50 tff(5387,plain,
% 39.06/25.50 (v116(constB39)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5386, 261, 5383])).
% 39.06/25.50 tff(5388,plain,
% 39.06/25.50 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5389,plain,
% 39.06/25.50 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 39.06/25.50 inference(quant_inst,[status(thm)],[])).
% 39.06/25.50 tff(5390,plain,
% 39.06/25.50 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0))),
% 39.06/25.50 inference(modus_ponens,[status(thm)],[5389, 5388])).
% 39.06/25.50 tff(5391,plain,
% 39.06/25.50 (~v130(constB39, bitIndex0)),
% 39.06/25.50 inference(unit_resolution,[status(thm)],[5390, 930, 5375])).
% 39.06/25.50 tff(5392,plain,
% 39.06/25.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5393,plain,
% 39.06/25.50 ((v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0))) <=> ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 39.06/25.50 inference(rewrite,[status(thm)],[])).
% 39.06/25.50 tff(5394,plain,
% 39.06/25.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)))),
% 39.06/25.51 inference(monotonicity,[status(thm)],[5393])).
% 39.06/25.51 tff(5395,plain,
% 39.06/25.51 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 39.06/25.51 inference(transitivity,[status(thm)],[5394, 5392])).
% 39.06/25.51 tff(5396,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5397,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5396, 5395])).
% 39.06/25.51 tff(5398,plain,
% 39.06/25.51 ((~v127(constB39, bitIndex0)) | v130(constB39, bitIndex0)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5397, 944, 5358])).
% 39.06/25.51 tff(5399,plain,
% 39.06/25.51 (~v127(constB39, bitIndex0)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5398, 5391])).
% 39.06/25.51 tff(5400,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5401,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5402,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5401, 5400])).
% 39.06/25.51 tff(5403,plain,
% 39.06/25.51 (v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5402, 962, 5369])).
% 39.06/25.51 tff(5404,plain,
% 39.06/25.51 (~v129(constB40, bitIndex0)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5403, 5399])).
% 39.06/25.51 tff(5405,assumption,(v90(constB40, bitIndex0)), introduced(assumption)).
% 39.06/25.51 tff(5406,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5407,plain,
% 39.06/25.51 (((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0)) <=> ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5408,plain,
% 39.06/25.51 (((~![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))))),
% 39.06/25.51 inference(monotonicity,[status(thm)],[5407])).
% 39.06/25.51 tff(5409,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(transitivity,[status(thm)],[5408, 5406])).
% 39.06/25.51 tff(5410,plain,
% 39.06/25.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5411,plain,
% 39.06/25.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 39.06/25.51 tff(5412,plain,
% 39.06/25.51 (v129(constB40, bitIndex0) | (~v100(constB40))),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5411, 977, 5405])).
% 39.06/25.51 tff(5413,plain,
% 39.06/25.51 (~v100(constB40)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5412, 5404])).
% 39.06/25.51 tff(5414,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5415,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5416,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 39.06/25.51 tff(5417,plain,
% 39.06/25.51 (~v104(constB40)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5416, 355, 5369, 5235])).
% 39.06/25.51 tff(5418,plain,
% 39.06/25.51 (((~![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))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5419,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5420,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5419, 5418])).
% 39.06/25.51 tff(5421,plain,
% 39.06/25.51 (v102(constB40) | v104(constB40)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5420, 369, 5369])).
% 39.06/25.51 tff(5422,plain,
% 39.06/25.51 (v102(constB40)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5421, 5417])).
% 39.06/25.51 tff(5423,plain,
% 39.06/25.51 (v1(constB40) <=> v1(constB40)),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5424,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 39.06/25.51 tff(5425,plain,
% 39.06/25.51 (v1(constB40)),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5424, 5423])).
% 39.06/25.51 tff(5426,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5427,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5428,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 39.06/25.51 tff(5429,plain,
% 39.06/25.51 (v101(constB40) | (~v102(constB40))),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5428, 387, 5369, 5425])).
% 39.06/25.51 tff(5430,plain,
% 39.06/25.51 (v101(constB40)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5429, 5422])).
% 39.06/25.51 tff(5431,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5432,plain,
% 39.06/25.51 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5433,plain,
% 39.06/25.51 (((~![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))))),
% 39.06/25.51 inference(monotonicity,[status(thm)],[5432])).
% 39.06/25.51 tff(5434,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(transitivity,[status(thm)],[5433, 5431])).
% 39.06/25.51 tff(5435,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5436,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5435, 5434])).
% 39.06/25.51 tff(5437,plain,
% 39.06/25.51 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5436, 402, 5369])).
% 39.06/25.51 tff(5438,plain,
% 39.06/25.51 (v100(constB40) | (~v110(constB40))),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5437, 5430])).
% 39.06/25.51 tff(5439,plain,
% 39.06/25.51 (~v110(constB40)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5438, 5413])).
% 39.06/25.51 tff(5440,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5441,plain,
% 39.06/25.51 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5442,plain,
% 39.06/25.51 (((~![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))))),
% 39.06/25.51 inference(monotonicity,[status(thm)],[5441])).
% 39.06/25.51 tff(5443,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(transitivity,[status(thm)],[5442, 5440])).
% 39.06/25.51 tff(5444,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5445,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5444, 5443])).
% 39.06/25.51 tff(5446,plain,
% 39.06/25.51 (v110(constB40) | (~v108(constB39))),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5445, 337, 5369])).
% 39.06/25.51 tff(5447,plain,
% 39.06/25.51 (~v108(constB39)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5446, 5439])).
% 39.06/25.51 tff(5448,assumption,(~v108(constB39)), introduced(assumption)).
% 39.06/25.51 tff(5449,plain,
% 39.06/25.51 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5450,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5451,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5450, 5449])).
% 39.06/25.51 tff(5452,plain,
% 39.06/25.51 (~v112(constB39)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5451, 320, 5448])).
% 39.06/25.51 tff(5453,plain,
% 39.06/25.51 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB39) | (~v26(constB39)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB39) | (~v26(constB39)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5454,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB39) | (~v26(constB39)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5455,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB39) | (~v26(constB39))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5454, 5453])).
% 39.06/25.51 tff(5456,plain,
% 39.06/25.51 (~v26(constB39)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5455, 766, 5448])).
% 39.06/25.51 tff(5457,assumption,(v113(constB39)), introduced(assumption)).
% 39.06/25.51 tff(5458,plain,
% 39.06/25.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5459,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5460,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39)),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5459, 5458])).
% 39.06/25.51 tff(5461,plain,
% 39.06/25.51 (v26(constB39) | v112(constB39)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5460, 308, 5457])).
% 39.06/25.51 tff(5462,plain,
% 39.06/25.51 ($false),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5461, 5456, 5452])).
% 39.06/25.51 tff(5463,plain,(v108(constB39) | (~v113(constB39))), inference(lemma,lemma(discharge,[]))).
% 39.06/25.51 tff(5464,plain,
% 39.06/25.51 (~v113(constB39)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5463, 5447])).
% 39.06/25.51 tff(5465,plain,
% 39.06/25.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5466,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5467,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 39.06/25.51 tff(5468,plain,
% 39.06/25.51 (~v114(constB39)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5467, 294, 5464])).
% 39.06/25.51 tff(5469,plain,
% 39.06/25.51 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5470,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5471,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5470, 5469])).
% 39.06/25.51 tff(5472,plain,
% 39.06/25.51 (~v115(constB39)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5471, 283, 5468])).
% 39.06/25.51 tff(5473,plain,
% 39.06/25.51 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5474,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5475,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5474, 5473])).
% 39.06/25.51 tff(5476,plain,
% 39.06/25.51 ($false),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5475, 272, 5472, 5387])).
% 39.06/25.51 tff(5477,plain,((~v120(constB39)) | (~v90(constB40, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 39.06/25.51 tff(5478,plain,
% 39.06/25.51 (~v90(constB40, bitIndex0)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5477, 5350])).
% 39.06/25.51 tff(5479,plain,
% 39.06/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex0))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5480,plain,
% 39.06/25.51 (((~nextState(constB39, constB40)) | (~v90(constB39, bitIndex0)) | v100(constB40) | v90(constB40, bitIndex0)) <=> ((~v90(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex0))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5481,plain,
% 39.06/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v90(constB39, bitIndex0)) | v100(constB40) | v90(constB40, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex0)))),
% 39.06/25.51 inference(monotonicity,[status(thm)],[5480])).
% 39.06/25.51 tff(5482,plain,
% 39.06/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v90(constB39, bitIndex0)) | v100(constB40) | v90(constB40, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex0))),
% 39.06/25.51 inference(transitivity,[status(thm)],[5481, 5479])).
% 39.06/25.51 tff(5483,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v90(constB39, bitIndex0)) | v100(constB40) | v90(constB40, bitIndex0))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5484,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex0)),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5483, 5482])).
% 39.06/25.51 tff(5485,plain,
% 39.06/25.51 ((~v90(constB39, bitIndex0)) | v100(constB40) | v90(constB40, bitIndex0)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5484, 649, 5369])).
% 39.06/25.51 tff(5486,plain,
% 39.06/25.51 (v100(constB40)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5485, 5478, 5343])).
% 39.06/25.51 tff(5487,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5488,plain,
% 39.06/25.51 (((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2)) <=> ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5489,plain,
% 39.06/25.51 (((~![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))))),
% 39.06/25.51 inference(monotonicity,[status(thm)],[5488])).
% 39.06/25.51 tff(5490,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(transitivity,[status(thm)],[5489, 5487])).
% 39.06/25.51 tff(5491,plain,
% 39.06/25.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5492,plain,
% 39.06/25.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5491, 5490])).
% 39.06/25.51 tff(5493,plain,
% 39.06/25.51 ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5492, 468, 5486])).
% 39.06/25.51 tff(5494,plain,
% 39.06/25.51 (~v90(constB40, bitIndex2)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5493, 5374])).
% 39.06/25.51 tff(5495,plain,
% 39.06/25.51 ((~v1(constB41)) <=> (~v1(constB41))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5496,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 39.06/25.51 tff(5497,plain,
% 39.06/25.51 (~v1(constB41)),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5496, 5495])).
% 39.06/25.51 tff(5498,plain,
% 39.06/25.51 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5499,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 39.06/25.51 tff(5500,plain,
% 39.06/25.51 (nextState(constB40, constB41)),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 39.06/25.51 tff(5501,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5502,plain,
% 39.06/25.51 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5503,plain,
% 39.06/25.51 (((~![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))))),
% 39.06/25.51 inference(monotonicity,[status(thm)],[5502])).
% 39.06/25.51 tff(5504,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(transitivity,[status(thm)],[5503, 5501])).
% 39.06/25.51 tff(5505,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5506,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5505, 5504])).
% 39.06/25.51 tff(5507,plain,
% 39.06/25.51 (~v101(constB41)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5506, 133, 5500, 5497])).
% 39.06/25.51 tff(5508,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5509,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5510,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5509, 5508])).
% 39.06/25.51 tff(5511,plain,
% 39.06/25.51 (v101(constB41) | (~v100(constB41))),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5510, 150, 5500])).
% 39.06/25.51 tff(5512,plain,
% 39.06/25.51 (~v100(constB41)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5511, 5507])).
% 39.06/25.51 tff(5513,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5514,plain,
% 39.06/25.51 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))) <=> (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5515,plain,
% 39.06/25.51 (((~![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))))),
% 39.06/25.51 inference(monotonicity,[status(thm)],[5514])).
% 39.06/25.51 tff(5516,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(transitivity,[status(thm)],[5515, 5513])).
% 39.06/25.51 tff(5517,plain,
% 39.06/25.51 ((~![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)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5518,plain,
% 39.06/25.51 ((~![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))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5517, 5516])).
% 39.06/25.51 tff(5519,plain,
% 39.06/25.51 (v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5518, 165, 5500])).
% 39.06/25.51 tff(5520,plain,
% 39.06/25.51 (v90(constB40, bitIndex2) | (~v90(constB41, bitIndex2))),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5519, 5512])).
% 39.06/25.51 tff(5521,plain,
% 39.06/25.51 (~v90(constB41, bitIndex2)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5520, 5494])).
% 39.06/25.51 tff(5522,assumption,(~v90(constB39, bitIndex2)), introduced(assumption)).
% 39.06/25.51 tff(5523,assumption,(~v90(constB40, bitIndex0)), introduced(assumption)).
% 39.06/25.51 tff(5524,assumption,(~v90(constB40, bitIndex1)), introduced(assumption)).
% 39.06/25.51 tff(5525,assumption,(v124(constB37)), introduced(assumption)).
% 39.06/25.51 tff(5526,plain,
% 39.06/25.51 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB37) | (~v124(constB37)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB37) | (~v124(constB37)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5527,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB37) | (~v124(constB37)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5528,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB37) | (~v124(constB37))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5527, 5526])).
% 39.06/25.51 tff(5529,plain,
% 39.06/25.51 (v114(constB37)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5528, 1236, 5525])).
% 39.06/25.51 tff(5530,plain,
% 39.06/25.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB37) | (~v114(constB37)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB37) | (~v114(constB37)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5531,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB37) | (~v114(constB37)))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5532,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB37) | (~v114(constB37))),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5531, 5530])).
% 39.06/25.51 tff(5533,plain,
% 39.06/25.51 (v113(constB37)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5532, 294, 5529])).
% 39.06/25.51 tff(5534,plain,
% 39.06/25.51 (v112(constB37)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5138, 5533])).
% 39.06/25.51 tff(5535,plain,
% 39.06/25.51 (v108(constB37)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5142, 320, 5534])).
% 39.06/25.51 tff(5536,plain,
% 39.06/25.51 (v110(constB38)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5153, 5535])).
% 39.06/25.51 tff(5537,plain,
% 39.06/25.51 (v100(constB38)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5179, 5536])).
% 39.06/25.51 tff(5538,plain,
% 39.06/25.51 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB37)) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB37)) | v130(constB37, bitIndex2))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5539,plain,
% 39.06/25.51 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB37)) | v130(constB37, bitIndex2))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5540,plain,
% 39.06/25.51 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB37)) | v130(constB37, bitIndex2)),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5539, 5538])).
% 39.06/25.51 tff(5541,plain,
% 39.06/25.51 (v130(constB37, bitIndex2)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5540, 2303, 5525])).
% 39.06/25.51 tff(5542,plain,
% 39.06/25.51 (((~![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))) | v26(constB37) | (~v130(constB37, bitIndex2)) | v127(constB37, bitIndex2))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5543,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB37) | (~v130(constB37, bitIndex2)) | v127(constB37, bitIndex2))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5544,plain,
% 39.06/25.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB37) | (~v130(constB37, bitIndex2)) | v127(constB37, bitIndex2)),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5543, 5542])).
% 39.06/25.51 tff(5545,plain,
% 39.06/25.51 ((~v130(constB37, bitIndex2)) | v127(constB37, bitIndex2)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5544, 1821, 5134])).
% 39.06/25.51 tff(5546,plain,
% 39.06/25.51 (v127(constB37, bitIndex2)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5545, 5541])).
% 39.06/25.51 tff(5547,plain,
% 39.06/25.51 (((~![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))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5548,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex2)) | v129(constB38, bitIndex2))),
% 39.06/25.51 inference(quant_inst,[status(thm)],[])).
% 39.06/25.51 tff(5549,plain,
% 39.06/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex2)) | v129(constB38, bitIndex2)),
% 39.06/25.51 inference(modus_ponens,[status(thm)],[5548, 5547])).
% 39.06/25.51 tff(5550,plain,
% 39.06/25.51 ((~v127(constB37, bitIndex2)) | v129(constB38, bitIndex2)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5549, 1836, 5146])).
% 39.06/25.51 tff(5551,plain,
% 39.06/25.51 (v129(constB38, bitIndex2)),
% 39.06/25.51 inference(unit_resolution,[status(thm)],[5550, 5546])).
% 39.06/25.51 tff(5552,plain,
% 39.06/25.51 (((~![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)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5553,plain,
% 39.06/25.51 ((v90(constB38, bitIndex2) | (~v100(constB38)) | (~v129(constB38, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~v129(constB38, bitIndex2)) | (~v100(constB38)))),
% 39.06/25.51 inference(rewrite,[status(thm)],[])).
% 39.06/25.51 tff(5554,plain,
% 39.06/25.51 (((~![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))))),
% 39.06/25.52 inference(monotonicity,[status(thm)],[5553])).
% 39.06/25.52 tff(5555,plain,
% 39.06/25.52 (((~![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)))),
% 39.06/25.52 inference(transitivity,[status(thm)],[5554, 5552])).
% 39.06/25.52 tff(5556,plain,
% 39.06/25.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~v100(constB38)) | (~v129(constB38, bitIndex2)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5557,plain,
% 39.06/25.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~v129(constB38, bitIndex2)) | (~v100(constB38))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5556, 5555])).
% 39.06/25.52 tff(5558,plain,
% 39.06/25.52 (v90(constB38, bitIndex2) | (~v100(constB38))),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5557, 2100, 5551])).
% 39.06/25.52 tff(5559,plain,
% 39.06/25.52 (v90(constB38, bitIndex2)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5558, 5537])).
% 39.06/25.52 tff(5560,plain,
% 39.06/25.52 (((~![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))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5561,plain,
% 39.06/25.52 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex2)) | v100(constB39) | v90(constB39, bitIndex2)) <=> ((~v90(constB38, bitIndex2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex2))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5562,plain,
% 39.06/25.52 (((~![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)))),
% 39.06/25.52 inference(monotonicity,[status(thm)],[5561])).
% 39.06/25.52 tff(5563,plain,
% 39.06/25.52 (((~![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))),
% 39.06/25.52 inference(transitivity,[status(thm)],[5562, 5560])).
% 39.06/25.52 tff(5564,plain,
% 39.06/25.52 ((~![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))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5565,plain,
% 39.06/25.52 ((~![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)),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5564, 5563])).
% 39.06/25.52 tff(5566,plain,
% 39.06/25.52 ((~v90(constB38, bitIndex2)) | v100(constB39) | v90(constB39, bitIndex2)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5565, 2118, 5238])).
% 39.06/25.52 tff(5567,plain,
% 39.06/25.52 ((~v90(constB38, bitIndex2)) | v90(constB39, bitIndex2)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5566, 5250])).
% 39.06/25.52 tff(5568,plain,
% 39.06/25.52 (v90(constB39, bitIndex2)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5567, 5559])).
% 39.06/25.52 tff(5569,plain,
% 39.06/25.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB39, bitIndex2)) | (~v122(constB39)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB39, bitIndex2)) | (~v122(constB39)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5570,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB39, bitIndex2)) | (~v122(constB39)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5571,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB39, bitIndex2)) | (~v122(constB39))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5570, 5569])).
% 39.06/25.52 tff(5572,plain,
% 39.06/25.52 (~v122(constB39)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5571, 3526, 5568])).
% 39.06/25.52 tff(5573,plain,
% 39.06/25.52 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB37)) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB37)) | v130(constB37, bitIndex1))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5574,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB37)) | v130(constB37, bitIndex1))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5575,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB37)) | v130(constB37, bitIndex1)),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 39.06/25.52 tff(5576,plain,
% 39.06/25.52 (v130(constB37, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5575, 2347, 5525])).
% 39.06/25.52 tff(5577,plain,
% 39.06/25.52 (((~![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))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5578,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5579,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1)),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5578, 5577])).
% 39.06/25.52 tff(5580,plain,
% 39.06/25.52 ((~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5579, 882, 5134])).
% 39.06/25.52 tff(5581,plain,
% 39.06/25.52 (v127(constB37, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5580, 5576])).
% 39.06/25.52 tff(5582,plain,
% 39.06/25.52 (((~![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))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5583,plain,
% 39.06/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5584,plain,
% 39.06/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1)),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5583, 5582])).
% 39.06/25.52 tff(5585,plain,
% 39.06/25.52 ((~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5584, 897, 5146])).
% 39.06/25.52 tff(5586,plain,
% 39.06/25.52 (v129(constB38, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5585, 5581])).
% 39.06/25.52 tff(5587,plain,
% 39.06/25.52 (((~![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)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5588,plain,
% 39.06/25.52 ((v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5589,plain,
% 39.06/25.52 (((~![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))))),
% 39.06/25.52 inference(monotonicity,[status(thm)],[5588])).
% 39.06/25.52 tff(5590,plain,
% 39.06/25.52 (((~![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)))),
% 39.06/25.52 inference(transitivity,[status(thm)],[5589, 5587])).
% 39.06/25.52 tff(5591,plain,
% 39.06/25.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5592,plain,
% 39.06/25.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5591, 5590])).
% 39.06/25.52 tff(5593,plain,
% 39.06/25.52 (v90(constB38, bitIndex1) | (~v100(constB38))),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5592, 912, 5586])).
% 39.06/25.52 tff(5594,plain,
% 39.06/25.52 (v90(constB38, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5593, 5537])).
% 39.06/25.52 tff(5595,plain,
% 39.06/25.52 (((~![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))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5596,plain,
% 39.06/25.52 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5597,plain,
% 39.06/25.52 (((~![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)))),
% 39.06/25.52 inference(monotonicity,[status(thm)],[5596])).
% 39.06/25.52 tff(5598,plain,
% 39.06/25.52 (((~![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))),
% 39.06/25.52 inference(transitivity,[status(thm)],[5597, 5595])).
% 39.06/25.52 tff(5599,plain,
% 39.06/25.52 ((~![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))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5600,plain,
% 39.06/25.52 ((~![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)),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 39.06/25.52 tff(5601,plain,
% 39.06/25.52 ((~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5600, 1049, 5238])).
% 39.06/25.52 tff(5602,plain,
% 39.06/25.52 ((~v90(constB38, bitIndex1)) | v90(constB39, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5601, 5250])).
% 39.06/25.52 tff(5603,plain,
% 39.06/25.52 (v90(constB39, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5602, 5594])).
% 39.06/25.52 tff(5604,plain,
% 39.06/25.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB39, bitIndex1)) | (~v120(constB39)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB39, bitIndex1)) | (~v120(constB39)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5605,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB39, bitIndex1)) | (~v120(constB39)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5606,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB39, bitIndex1)) | (~v120(constB39))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5605, 5604])).
% 39.06/25.52 tff(5607,plain,
% 39.06/25.52 (~v120(constB39)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5606, 2615, 5603])).
% 39.06/25.52 tff(5608,plain,
% 39.06/25.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB39, bitIndex1)) | (~v124(constB39)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB39, bitIndex1)) | (~v124(constB39)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5609,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB39, bitIndex1)) | (~v124(constB39)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5610,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB39, bitIndex1)) | (~v124(constB39))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5609, 5608])).
% 39.06/25.52 tff(5611,plain,
% 39.06/25.52 (~v124(constB39)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5610, 2637, 5603])).
% 39.06/25.52 tff(5612,plain,
% 39.06/25.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB39, bitIndex1)) | (~v123(constB39)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB39, bitIndex1)) | (~v123(constB39)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5613,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB39, bitIndex1)) | (~v123(constB39)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5614,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB39, bitIndex1)) | (~v123(constB39))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5613, 5612])).
% 39.06/25.52 tff(5615,plain,
% 39.06/25.52 (~v123(constB39)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5614, 2626, 5603])).
% 39.06/25.52 tff(5616,plain,
% 39.06/25.52 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB39)) | (~v90(constB39, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB39)) | (~v90(constB39, bitIndex1)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5617,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB39)) | (~v90(constB39, bitIndex1)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5618,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB39)) | (~v90(constB39, bitIndex1))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 39.06/25.52 tff(5619,plain,
% 39.06/25.52 (~v119(constB39)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5618, 2604, 5603])).
% 39.06/25.52 tff(5620,plain,
% 39.06/25.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB39, bitIndex2)) | (~v121(constB39)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB39, bitIndex2)) | (~v121(constB39)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5621,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB39, bitIndex2)) | (~v121(constB39)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5622,plain,
% 39.06/25.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB39, bitIndex2)) | (~v121(constB39))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5621, 5620])).
% 39.06/25.52 tff(5623,plain,
% 39.06/25.52 (~v121(constB39)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5622, 2586, 5568])).
% 39.06/25.52 tff(5624,plain,
% 39.06/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB39, bitIndex1)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB39, bitIndex1)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex1))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5625,plain,
% 39.06/25.52 (((~nextState(constB39, constB40)) | (~v90(constB39, bitIndex1)) | v100(constB40) | v90(constB40, bitIndex1)) <=> ((~v90(constB39, bitIndex1)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex1))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5626,plain,
% 39.06/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v90(constB39, bitIndex1)) | v100(constB40) | v90(constB40, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB39, bitIndex1)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex1)))),
% 39.06/25.52 inference(monotonicity,[status(thm)],[5625])).
% 39.06/25.52 tff(5627,plain,
% 39.06/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v90(constB39, bitIndex1)) | v100(constB40) | v90(constB40, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB39, bitIndex1)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex1))),
% 39.06/25.52 inference(transitivity,[status(thm)],[5626, 5624])).
% 39.06/25.52 tff(5628,plain,
% 39.06/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v90(constB39, bitIndex1)) | v100(constB40) | v90(constB40, bitIndex1))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5629,plain,
% 39.06/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB39, bitIndex1)) | (~nextState(constB39, constB40)) | v100(constB40) | v90(constB40, bitIndex1)),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 39.06/25.52 tff(5630,plain,
% 39.06/25.52 ((~v90(constB39, bitIndex1)) | v100(constB40) | v90(constB40, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5629, 1049, 5369])).
% 39.06/25.52 tff(5631,plain,
% 39.06/25.52 (v100(constB40)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5630, 5603, 5524])).
% 39.06/25.52 tff(5632,plain,
% 39.06/25.52 (((~![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)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5633,plain,
% 39.06/25.52 ((v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5634,plain,
% 39.06/25.52 (((~![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))))),
% 39.06/25.52 inference(monotonicity,[status(thm)],[5633])).
% 39.06/25.52 tff(5635,plain,
% 39.06/25.52 (((~![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)))),
% 39.06/25.52 inference(transitivity,[status(thm)],[5634, 5632])).
% 39.06/25.52 tff(5636,plain,
% 39.06/25.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5637,plain,
% 39.06/25.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 39.06/25.52 tff(5638,plain,
% 39.06/25.52 ((~v129(constB40, bitIndex0)) | (~v100(constB40))),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5637, 631, 5523])).
% 39.06/25.52 tff(5639,plain,
% 39.06/25.52 (~v129(constB40, bitIndex0)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5638, 5631])).
% 39.06/25.52 tff(5640,plain,
% 39.06/25.52 (((~![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))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5641,plain,
% 39.06/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5642,plain,
% 39.06/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0)),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5641, 5640])).
% 39.06/25.52 tff(5643,plain,
% 39.06/25.52 ((~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5642, 616, 5369])).
% 39.06/25.52 tff(5644,plain,
% 39.06/25.52 (~v127(constB39, bitIndex0)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5643, 5639])).
% 39.06/25.52 tff(5645,plain,
% 39.06/25.52 (((~![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))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5646,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5647,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0)),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5646, 5645])).
% 39.06/25.52 tff(5648,plain,
% 39.06/25.52 ((~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5647, 601, 5358])).
% 39.06/25.52 tff(5649,plain,
% 39.06/25.52 (~v130(constB39, bitIndex0)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5648, 5644])).
% 39.06/25.52 tff(5650,plain,
% 39.06/25.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB39) | v123(constB39) | v122(constB39) | v121(constB39) | v120(constB39) | v119(constB39) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB39) | v123(constB39) | v122(constB39) | v121(constB39) | v120(constB39) | v119(constB39) | v130(constB39, bitIndex0))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5651,plain,
% 39.06/25.52 ((v120(constB39) | v119(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | v130(constB39, bitIndex0)) <=> (v124(constB39) | v123(constB39) | v122(constB39) | v121(constB39) | v120(constB39) | v119(constB39) | v130(constB39, bitIndex0))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5652,plain,
% 39.06/25.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB39) | v119(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB39) | v123(constB39) | v122(constB39) | v121(constB39) | v120(constB39) | v119(constB39) | v130(constB39, bitIndex0)))),
% 39.06/25.52 inference(monotonicity,[status(thm)],[5651])).
% 39.06/25.52 tff(5653,plain,
% 39.06/25.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB39) | v119(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB39) | v123(constB39) | v122(constB39) | v121(constB39) | v120(constB39) | v119(constB39) | v130(constB39, bitIndex0))),
% 39.06/25.52 inference(transitivity,[status(thm)],[5652, 5650])).
% 39.06/25.52 tff(5654,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB39) | v119(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | v130(constB39, bitIndex0))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5655,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB39) | v123(constB39) | v122(constB39) | v121(constB39) | v120(constB39) | v119(constB39) | v130(constB39, bitIndex0)),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5654, 5653])).
% 39.06/25.52 tff(5656,plain,
% 39.06/25.52 ($false),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5655, 2753, 5649, 5623, 5619, 5615, 5611, 5607, 5572])).
% 39.06/25.52 tff(5657,plain,((~v124(constB37)) | v90(constB40, bitIndex0) | v90(constB40, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 39.06/25.52 tff(5658,plain,
% 39.06/25.52 (~v124(constB37)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5657, 5524, 5523])).
% 39.06/25.52 tff(5659,assumption,(~v90(constB39, bitIndex1)), introduced(assumption)).
% 39.06/25.52 tff(5660,plain,
% 39.06/25.52 (~v90(constB38, bitIndex1)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5602, 5659])).
% 39.06/25.52 tff(5661,assumption,(~v110(constB38)), introduced(assumption)).
% 39.06/25.52 tff(5662,plain,
% 39.06/25.52 (~v108(constB37)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5153, 5661])).
% 39.06/25.52 tff(5663,plain,
% 39.06/25.52 (~v112(constB37)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5142, 320, 5662])).
% 39.06/25.52 tff(5664,plain,
% 39.06/25.52 (~v113(constB37)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5138, 5663])).
% 39.06/25.52 tff(5665,plain,
% 39.06/25.52 (~v114(constB37)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5532, 294, 5664])).
% 39.06/25.52 tff(5666,plain,
% 39.06/25.52 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB37) | (~v115(constB37)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB37) | (~v115(constB37)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5667,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB37) | (~v115(constB37)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5668,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB37) | (~v115(constB37))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5667, 5666])).
% 39.06/25.52 tff(5669,plain,
% 39.06/25.52 (~v115(constB37)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5668, 283, 5665])).
% 39.06/25.52 tff(5670,plain,
% 39.06/25.52 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB37) | (~v116(constB37)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB37) | (~v116(constB37)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5671,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB37) | (~v116(constB37)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5672,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB37) | (~v116(constB37))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 39.06/25.52 tff(5673,plain,
% 39.06/25.52 (~v116(constB37)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5672, 272, 5669])).
% 39.06/25.52 tff(5674,plain,
% 39.06/25.52 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB37) | (~v117(constB37)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB37) | (~v117(constB37)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5675,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB37) | (~v117(constB37)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5676,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB37) | (~v117(constB37))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5675, 5674])).
% 39.06/25.52 tff(5677,plain,
% 39.06/25.52 (~v117(constB37)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5676, 261, 5673])).
% 39.06/25.52 tff(5678,plain,
% 39.06/25.52 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB37) | (~v118(constB37)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB37) | (~v118(constB37)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5679,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB37) | (~v118(constB37)))),
% 39.06/25.52 inference(quant_inst,[status(thm)],[])).
% 39.06/25.52 tff(5680,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB37) | (~v118(constB37))),
% 39.06/25.52 inference(modus_ponens,[status(thm)],[5679, 5678])).
% 39.06/25.52 tff(5681,plain,
% 39.06/25.52 (~v118(constB37)),
% 39.06/25.52 inference(unit_resolution,[status(thm)],[5680, 250, 5677])).
% 39.06/25.52 tff(5682,plain,
% 39.06/25.52 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB37) | (~v120(constB37)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB37) | (~v120(constB37)))),
% 39.06/25.52 inference(rewrite,[status(thm)],[])).
% 39.06/25.52 tff(5683,plain,
% 39.06/25.52 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB37) | (~v120(constB37)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5684,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB37) | (~v120(constB37))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5683, 5682])).
% 39.06/25.53 tff(5685,plain,
% 39.06/25.53 (~v120(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5684, 778, 5681])).
% 39.06/25.53 tff(5686,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB37) | (~v123(constB37)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB37) | (~v123(constB37)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5687,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB37) | (~v123(constB37)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5688,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB37) | (~v123(constB37))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5687, 5686])).
% 39.06/25.53 tff(5689,plain,
% 39.06/25.53 (~v123(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5688, 1247, 5669])).
% 39.06/25.53 tff(5690,assumption,(~v90(constB38, bitIndex1)), introduced(assumption)).
% 39.06/25.53 tff(5691,plain,
% 39.06/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v100(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v100(constB38)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5692,plain,
% 39.06/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v100(constB38)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5693,plain,
% 39.06/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v100(constB38))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5692, 5691])).
% 39.06/25.53 tff(5694,plain,
% 39.06/25.53 (v110(constB38) | (~v100(constB38))),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5693, 734, 5146])).
% 39.06/25.53 tff(5695,plain,
% 39.06/25.53 (~v100(constB38)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5694, 5661])).
% 39.06/25.53 tff(5696,plain,
% 39.06/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5697,plain,
% 39.06/25.53 (((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex1)) | v100(constB38) | v90(constB38, bitIndex1)) <=> ((~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5698,plain,
% 39.06/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex1)) | v100(constB38) | v90(constB38, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1)))),
% 39.06/25.53 inference(monotonicity,[status(thm)],[5697])).
% 39.06/25.53 tff(5699,plain,
% 39.06/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex1)) | v100(constB38) | v90(constB38, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1))),
% 39.06/25.53 inference(transitivity,[status(thm)],[5698, 5696])).
% 39.06/25.53 tff(5700,plain,
% 39.06/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v90(constB37, bitIndex1)) | v100(constB38) | v90(constB38, bitIndex1))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5701,plain,
% 39.06/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB37, bitIndex1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, bitIndex1)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 39.06/25.53 tff(5702,plain,
% 39.06/25.53 ((~v90(constB37, bitIndex1)) | v100(constB38) | v90(constB38, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5701, 1049, 5146])).
% 39.06/25.53 tff(5703,plain,
% 39.06/25.53 (~v90(constB37, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5702, 5695, 5690])).
% 39.06/25.53 tff(5704,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB37) | (~v119(constB37)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB37) | (~v119(constB37)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5705,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB37) | (~v119(constB37)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5706,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB37) | (~v119(constB37))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5705, 5704])).
% 39.06/25.53 tff(5707,plain,
% 39.06/25.53 (~v119(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5706, 239, 5681])).
% 39.06/25.53 tff(5708,assumption,(~v119(constB37)), introduced(assumption)).
% 39.06/25.53 tff(5709,assumption,(~v90(constB37, bitIndex0)), introduced(assumption)).
% 39.06/25.53 tff(5710,assumption,(~v90(constB37, bitIndex1)), introduced(assumption)).
% 39.06/25.53 tff(5711,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v123(constB37))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v123(constB37))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5712,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v123(constB37))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5713,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v123(constB37)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 39.06/25.53 tff(5714,plain,
% 39.06/25.53 (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2)) | v123(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5713, 1280, 5710])).
% 39.06/25.53 tff(5715,plain,
% 39.06/25.53 (~v90(constB37, bitIndex2)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5714, 5709, 5300])).
% 39.06/25.53 tff(5716,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB37) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB37) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5717,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB37) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5718,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB37) | v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5717, 5716])).
% 39.06/25.53 tff(5719,plain,
% 39.06/25.53 (v119(constB37) | v90(constB37, bitIndex0) | v90(constB37, bitIndex2)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5718, 228, 5710])).
% 39.06/25.53 tff(5720,plain,
% 39.06/25.53 ($false),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5719, 5715, 5709, 5708])).
% 39.06/25.53 tff(5721,plain,(v90(constB37, bitIndex0) | v119(constB37) | v90(constB37, bitIndex1) | v123(constB37)), inference(lemma,lemma(discharge,[]))).
% 39.06/25.53 tff(5722,plain,
% 39.06/25.53 (v90(constB37, bitIndex0)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5721, 5707, 5703, 5689])).
% 39.06/25.53 tff(5723,plain,
% 39.06/25.53 (~v124(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5528, 1236, 5665])).
% 39.06/25.53 tff(5724,plain,
% 39.06/25.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v124(constB37))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v124(constB37))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5725,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v124(constB37))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5726,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | v124(constB37)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5725, 5724])).
% 39.06/25.53 tff(5727,plain,
% 39.06/25.53 ((~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2)) | v124(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5726, 1264, 5703])).
% 39.06/25.53 tff(5728,plain,
% 39.06/25.53 (~v90(constB37, bitIndex2)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5727, 5722, 5723])).
% 39.06/25.53 tff(5729,plain,
% 39.06/25.53 (((~![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))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5730,plain,
% 39.06/25.53 (((~v90(constB37, bitIndex0)) | v120(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)) <=> ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5731,plain,
% 39.06/25.53 (((~![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)))),
% 39.06/25.53 inference(monotonicity,[status(thm)],[5730])).
% 39.06/25.53 tff(5732,plain,
% 39.06/25.53 (((~![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))),
% 39.06/25.53 inference(transitivity,[status(thm)],[5731, 5729])).
% 39.06/25.53 tff(5733,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v120(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5734,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5733, 5732])).
% 39.06/25.53 tff(5735,plain,
% 39.06/25.53 ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex2) | v120(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5734, 668, 5703])).
% 39.06/25.53 tff(5736,plain,
% 39.06/25.53 ($false),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5735, 5728, 5722, 5685])).
% 39.06/25.53 tff(5737,plain,(v110(constB38) | v90(constB38, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 39.06/25.53 tff(5738,plain,
% 39.06/25.53 (v110(constB38)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5737, 5660])).
% 39.06/25.53 tff(5739,plain,
% 39.06/25.53 (v100(constB38)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5179, 5738])).
% 39.06/25.53 tff(5740,plain,
% 39.06/25.53 (~v129(constB38, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5592, 912, 5739, 5660])).
% 39.06/25.53 tff(5741,plain,
% 39.06/25.53 (~v127(constB37, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5585, 5740])).
% 39.06/25.53 tff(5742,plain,
% 39.06/25.53 (~v130(constB37, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5580, 5741])).
% 39.06/25.53 tff(5743,plain,
% 39.06/25.53 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB37)) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB37)) | v130(constB37, bitIndex1))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5744,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB37)) | v130(constB37, bitIndex1))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5745,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB37)) | v130(constB37, bitIndex1)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5744, 5743])).
% 39.06/25.53 tff(5746,plain,
% 39.06/25.53 (~v120(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5745, 868, 5742])).
% 39.06/25.53 tff(5747,plain,
% 39.06/25.53 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB37)) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB37)) | v130(constB37, bitIndex1))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5748,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB37)) | v130(constB37, bitIndex1))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5749,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB37)) | v130(constB37, bitIndex1)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 39.06/25.53 tff(5750,plain,
% 39.06/25.53 (~v121(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5749, 1717, 5742])).
% 39.06/25.53 tff(5751,plain,
% 39.06/25.53 (~v90(constB38, bitIndex2)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5567, 5522])).
% 39.06/25.53 tff(5752,plain,
% 39.06/25.53 (v90(constB38, bitIndex2) | (~v129(constB38, bitIndex2))),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5557, 2100, 5739])).
% 39.06/25.53 tff(5753,plain,
% 39.06/25.53 (~v129(constB38, bitIndex2)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5752, 5751])).
% 39.06/25.53 tff(5754,plain,
% 39.06/25.53 (~v127(constB37, bitIndex2)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5550, 5753])).
% 39.06/25.53 tff(5755,plain,
% 39.06/25.53 (~v130(constB37, bitIndex2)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5545, 5754])).
% 39.06/25.53 tff(5756,plain,
% 39.06/25.53 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB37)) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB37)) | v130(constB37, bitIndex2))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5757,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB37)) | v130(constB37, bitIndex2))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5758,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB37)) | v130(constB37, bitIndex2)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5757, 5756])).
% 39.06/25.53 tff(5759,plain,
% 39.06/25.53 (~v122(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5758, 1803, 5755])).
% 39.06/25.53 tff(5760,plain,
% 39.06/25.53 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB37)) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB37)) | v130(constB37, bitIndex2))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5761,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB37)) | v130(constB37, bitIndex2))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5762,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB37)) | v130(constB37, bitIndex2)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 39.06/25.53 tff(5763,plain,
% 39.06/25.53 (~v123(constB37)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5762, 2165, 5755])).
% 39.06/25.53 tff(5764,plain,
% 39.06/25.53 (v130(constB37, bitIndex0)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5315, 5763, 5759, 5750, 5746, 5658])).
% 39.06/25.53 tff(5765,plain,
% 39.06/25.53 (v127(constB37, bitIndex0)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5320, 5764])).
% 39.06/25.53 tff(5766,plain,
% 39.06/25.53 (v129(constB38, bitIndex0)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5325, 5765])).
% 39.06/25.53 tff(5767,plain,
% 39.06/25.53 (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0))),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5332, 631, 5739])).
% 39.06/25.53 tff(5768,plain,
% 39.06/25.53 (v90(constB38, bitIndex0)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5767, 5766])).
% 39.06/25.53 tff(5769,plain,
% 39.06/25.53 (v90(constB39, bitIndex0)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5342, 5768])).
% 39.06/25.53 tff(5770,plain,
% 39.06/25.53 ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex2) | v120(constB39)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5349, 668, 5659])).
% 39.06/25.53 tff(5771,plain,
% 39.06/25.53 (v120(constB39)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5770, 5769, 5522])).
% 39.06/25.53 tff(5772,plain,
% 39.06/25.53 (v100(constB40)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5485, 5769, 5523])).
% 39.06/25.53 tff(5773,plain,
% 39.06/25.53 (((~![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)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5774,plain,
% 39.06/25.53 ((v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1))) <=> (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5775,plain,
% 39.06/25.53 (((~![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))))),
% 39.06/25.53 inference(monotonicity,[status(thm)],[5774])).
% 39.06/25.53 tff(5776,plain,
% 39.06/25.53 (((~![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)))),
% 39.06/25.53 inference(transitivity,[status(thm)],[5775, 5773])).
% 39.06/25.53 tff(5777,plain,
% 39.06/25.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5778,plain,
% 39.06/25.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5777, 5776])).
% 39.06/25.53 tff(5779,plain,
% 39.06/25.53 ((~v129(constB40, bitIndex1)) | (~v100(constB40))),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5778, 912, 5524])).
% 39.06/25.53 tff(5780,plain,
% 39.06/25.53 (~v129(constB40, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5779, 5772])).
% 39.06/25.53 tff(5781,plain,
% 39.06/25.53 (((~![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))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5782,plain,
% 39.06/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5783,plain,
% 39.06/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 39.06/25.53 tff(5784,plain,
% 39.06/25.53 ((~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5783, 897, 5369])).
% 39.06/25.53 tff(5785,plain,
% 39.06/25.53 (~v127(constB39, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5784, 5780])).
% 39.06/25.53 tff(5786,plain,
% 39.06/25.53 (((~![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))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5787,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5788,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 39.06/25.53 tff(5789,plain,
% 39.06/25.53 ((~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5788, 882, 5358])).
% 39.06/25.53 tff(5790,plain,
% 39.06/25.53 (~v130(constB39, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5789, 5785])).
% 39.06/25.53 tff(5791,plain,
% 39.06/25.53 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB39)) | v130(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB39)) | v130(constB39, bitIndex1))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5792,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB39)) | v130(constB39, bitIndex1))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5793,plain,
% 39.06/25.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB39)) | v130(constB39, bitIndex1)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5792, 5791])).
% 39.06/25.53 tff(5794,plain,
% 39.06/25.53 ($false),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5793, 868, 5790, 5771])).
% 39.06/25.53 tff(5795,plain,(v90(constB39, bitIndex2) | v90(constB40, bitIndex1) | v90(constB39, bitIndex1) | v90(constB40, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.06/25.53 tff(5796,plain,
% 39.06/25.53 (v90(constB40, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5795, 5478, 5296, 5259])).
% 39.06/25.53 tff(5797,plain,
% 39.06/25.53 (((~![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))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5798,plain,
% 39.06/25.53 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)) <=> ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5799,plain,
% 39.06/25.53 (((~![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)))),
% 39.06/25.53 inference(monotonicity,[status(thm)],[5798])).
% 39.06/25.53 tff(5800,plain,
% 39.06/25.53 (((~![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))),
% 39.06/25.53 inference(transitivity,[status(thm)],[5799, 5797])).
% 39.06/25.53 tff(5801,plain,
% 39.06/25.53 ((~![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))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5802,plain,
% 39.06/25.53 ((~![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)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5801, 5800])).
% 39.06/25.53 tff(5803,plain,
% 39.06/25.53 ((~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5802, 1049, 5500])).
% 39.06/25.53 tff(5804,plain,
% 39.06/25.53 ((~v90(constB40, bitIndex1)) | v90(constB41, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5803, 5512])).
% 39.06/25.53 tff(5805,plain,
% 39.06/25.53 (v90(constB41, bitIndex1)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5804, 5796])).
% 39.06/25.53 tff(5806,plain,
% 39.06/25.53 (((~![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)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5807,plain,
% 39.06/25.53 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5808,plain,
% 39.06/25.53 (((~![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))))),
% 39.06/25.53 inference(monotonicity,[status(thm)],[5807])).
% 39.06/25.53 tff(5809,plain,
% 39.06/25.53 (((~![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)))),
% 39.06/25.53 inference(transitivity,[status(thm)],[5808, 5806])).
% 39.06/25.53 tff(5810,plain,
% 39.06/25.53 ((~![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)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5811,plain,
% 39.06/25.53 ((~![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))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5810, 5809])).
% 39.06/25.53 tff(5812,plain,
% 39.06/25.53 (v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5811, 207, 5500])).
% 39.06/25.53 tff(5813,plain,
% 39.06/25.53 (v90(constB40, bitIndex0) | (~v90(constB41, bitIndex0))),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5812, 5512])).
% 39.06/25.53 tff(5814,plain,
% 39.06/25.53 (~v90(constB41, bitIndex0)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5813, 5478])).
% 39.06/25.53 tff(5815,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5816,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5817,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5816, 5815])).
% 39.06/25.53 tff(5818,plain,
% 39.06/25.53 (v90(constB41, bitIndex2) | v121(constB41)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5817, 996, 5814, 5805])).
% 39.06/25.53 tff(5819,plain,
% 39.06/25.53 (v121(constB41)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5818, 5521])).
% 39.06/25.53 tff(5820,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB41) | (~v121(constB41)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB41) | (~v121(constB41)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5821,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB41) | (~v121(constB41)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5822,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB41) | (~v121(constB41))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5821, 5820])).
% 39.06/25.53 tff(5823,plain,
% 39.06/25.53 (v117(constB41)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5822, 1130, 5819])).
% 39.06/25.53 tff(5824,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB41) | (~v117(constB41)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB41) | (~v117(constB41)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5825,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB41) | (~v117(constB41)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5826,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB41) | (~v117(constB41))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5825, 5824])).
% 39.06/25.53 tff(5827,plain,
% 39.06/25.53 (v116(constB41)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5826, 261, 5823])).
% 39.06/25.53 tff(5828,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5829,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5830,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5829, 5828])).
% 39.06/25.53 tff(5831,plain,
% 39.06/25.53 (v115(constB41)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5830, 272, 5827])).
% 39.06/25.53 tff(5832,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5833,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5834,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5833, 5832])).
% 39.06/25.53 tff(5835,plain,
% 39.06/25.53 (v114(constB41)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5834, 283, 5831])).
% 39.06/25.53 tff(5836,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41)))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5837,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5838,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41))),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5837, 5836])).
% 39.06/25.53 tff(5839,plain,
% 39.06/25.53 (v113(constB41)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5838, 294, 5835])).
% 39.06/25.53 tff(5840,assumption,(v26(constB41)), introduced(assumption)).
% 39.06/25.53 tff(5841,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5842,plain,
% 39.06/25.53 ($false),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5841, 86, 5840])).
% 39.06/25.53 tff(5843,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 39.06/25.53 tff(5844,plain,
% 39.06/25.53 (((~![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))),
% 39.06/25.53 inference(rewrite,[status(thm)],[])).
% 39.06/25.53 tff(5845,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 39.06/25.53 inference(quant_inst,[status(thm)],[])).
% 39.06/25.53 tff(5846,plain,
% 39.06/25.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 39.06/25.53 inference(modus_ponens,[status(thm)],[5845, 5844])).
% 39.06/25.53 tff(5847,plain,
% 39.06/25.53 ((~v113(constB41)) | v112(constB41)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5846, 308, 5843])).
% 39.06/25.53 tff(5848,plain,
% 39.06/25.53 (v112(constB41)),
% 39.06/25.53 inference(unit_resolution,[status(thm)],[5847, 5839])).
% 39.06/25.53 tff(5849,plain,
% 39.06/25.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5850,plain,
% 39.06/25.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5851,plain,
% 39.06/25.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5850, 5849])).
% 39.06/25.54 tff(5852,plain,
% 39.06/25.54 (v108(constB41)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5851, 320, 5848])).
% 39.06/25.54 tff(5853,plain,
% 39.06/25.54 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5854,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 39.06/25.54 tff(5855,plain,
% 39.06/25.54 (nextState(constB41, constB42)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5854, 5853])).
% 39.06/25.54 tff(5856,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5857,plain,
% 39.06/25.54 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5858,plain,
% 39.06/25.54 (((~![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))))),
% 39.06/25.54 inference(monotonicity,[status(thm)],[5857])).
% 39.06/25.54 tff(5859,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(transitivity,[status(thm)],[5858, 5856])).
% 39.06/25.54 tff(5860,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5861,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5860, 5859])).
% 39.06/25.54 tff(5862,plain,
% 39.06/25.54 (v110(constB42) | (~v108(constB41))),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5861, 337, 5855])).
% 39.06/25.54 tff(5863,plain,
% 39.06/25.54 (v110(constB42)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5862, 5852])).
% 39.06/25.54 tff(5864,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5865,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5866,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 39.06/25.54 tff(5867,plain,
% 39.06/25.54 (~v104(constB42)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5866, 355, 5855, 5497])).
% 39.06/25.54 tff(5868,plain,
% 39.06/25.54 (((~![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))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5869,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5870,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5869, 5868])).
% 39.06/25.54 tff(5871,plain,
% 39.06/25.54 (v102(constB42) | v104(constB42)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5870, 369, 5855])).
% 39.06/25.54 tff(5872,plain,
% 39.06/25.54 (v102(constB42)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5871, 5867])).
% 39.06/25.54 tff(5873,plain,
% 39.06/25.54 (v1(constB42) <=> v1(constB42)),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5874,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 39.06/25.54 tff(5875,plain,
% 39.06/25.54 (v1(constB42)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5874, 5873])).
% 39.06/25.54 tff(5876,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5877,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5878,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5877, 5876])).
% 39.06/25.54 tff(5879,plain,
% 39.06/25.54 (v101(constB42) | (~v102(constB42))),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5878, 387, 5855, 5875])).
% 39.06/25.54 tff(5880,plain,
% 39.06/25.54 (v101(constB42)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5879, 5872])).
% 39.06/25.54 tff(5881,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5882,plain,
% 39.06/25.54 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5883,plain,
% 39.06/25.54 (((~![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))))),
% 39.06/25.54 inference(monotonicity,[status(thm)],[5882])).
% 39.06/25.54 tff(5884,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(transitivity,[status(thm)],[5883, 5881])).
% 39.06/25.54 tff(5885,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5886,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5885, 5884])).
% 39.06/25.54 tff(5887,plain,
% 39.06/25.54 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5886, 402, 5855])).
% 39.06/25.54 tff(5888,plain,
% 39.06/25.54 (v100(constB42) | (~v110(constB42))),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5887, 5880])).
% 39.06/25.54 tff(5889,plain,
% 39.06/25.54 (v100(constB42)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5888, 5863])).
% 39.06/25.54 tff(5890,plain,
% 39.06/25.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5891,plain,
% 39.06/25.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5892,plain,
% 39.06/25.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5891, 5890])).
% 39.06/25.54 tff(5893,plain,
% 39.06/25.54 (~v130(constB41, bitIndex2)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5892, 1102, 5819])).
% 39.06/25.54 tff(5894,plain,
% 39.06/25.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5895,plain,
% 39.06/25.54 ((v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2))) <=> ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5896,plain,
% 39.06/25.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)))),
% 39.06/25.54 inference(monotonicity,[status(thm)],[5895])).
% 39.06/25.54 tff(5897,plain,
% 39.06/25.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 39.06/25.54 inference(transitivity,[status(thm)],[5896, 5894])).
% 39.06/25.54 tff(5898,plain,
% 39.06/25.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5899,plain,
% 39.06/25.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5898, 5897])).
% 39.06/25.54 tff(5900,plain,
% 39.06/25.54 ((~v127(constB41, bitIndex2)) | v130(constB41, bitIndex2)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5899, 435, 5843])).
% 39.06/25.54 tff(5901,plain,
% 39.06/25.54 (~v127(constB41, bitIndex2)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5900, 5893])).
% 39.06/25.54 tff(5902,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5903,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5904,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5903, 5902])).
% 39.06/25.54 tff(5905,plain,
% 39.06/25.54 (v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5904, 453, 5855])).
% 39.06/25.54 tff(5906,plain,
% 39.06/25.54 (~v129(constB42, bitIndex2)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5905, 5901])).
% 39.06/25.54 tff(5907,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5908,plain,
% 39.06/25.54 (((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2)) <=> ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5909,plain,
% 39.06/25.54 (((~![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))))),
% 39.06/25.54 inference(monotonicity,[status(thm)],[5908])).
% 39.06/25.54 tff(5910,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(transitivity,[status(thm)],[5909, 5907])).
% 39.06/25.54 tff(5911,plain,
% 39.06/25.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5912,plain,
% 39.06/25.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 39.06/25.54 tff(5913,plain,
% 39.06/25.54 ((~v90(constB42, bitIndex2)) | (~v100(constB42))),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5912, 468, 5906])).
% 39.06/25.54 tff(5914,plain,
% 39.06/25.54 (~v90(constB42, bitIndex2)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5913, 5889])).
% 39.06/25.54 tff(5915,plain,
% 39.06/25.54 ((~v1(constB43)) <=> (~v1(constB43))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5916,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 39.06/25.54 tff(5917,plain,
% 39.06/25.54 (~v1(constB43)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5916, 5915])).
% 39.06/25.54 tff(5918,plain,
% 39.06/25.54 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5919,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 39.06/25.54 tff(5920,plain,
% 39.06/25.54 (nextState(constB42, constB43)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5919, 5918])).
% 39.06/25.54 tff(5921,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5922,plain,
% 39.06/25.54 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5923,plain,
% 39.06/25.54 (((~![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))))),
% 39.06/25.54 inference(monotonicity,[status(thm)],[5922])).
% 39.06/25.54 tff(5924,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(transitivity,[status(thm)],[5923, 5921])).
% 39.06/25.54 tff(5925,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5926,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5925, 5924])).
% 39.06/25.54 tff(5927,plain,
% 39.06/25.54 (~v101(constB43)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5926, 133, 5920, 5917])).
% 39.06/25.54 tff(5928,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5929,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5930,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5929, 5928])).
% 39.06/25.54 tff(5931,plain,
% 39.06/25.54 (v101(constB43) | (~v100(constB43))),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5930, 150, 5920])).
% 39.06/25.54 tff(5932,plain,
% 39.06/25.54 (~v100(constB43)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5931, 5927])).
% 39.06/25.54 tff(5933,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5934,plain,
% 39.06/25.54 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5935,plain,
% 39.06/25.54 (((~![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))))),
% 39.06/25.54 inference(monotonicity,[status(thm)],[5934])).
% 39.06/25.54 tff(5936,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(transitivity,[status(thm)],[5935, 5933])).
% 39.06/25.54 tff(5937,plain,
% 39.06/25.54 ((~![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)))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5938,plain,
% 39.06/25.54 ((~![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))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5937, 5936])).
% 39.06/25.54 tff(5939,plain,
% 39.06/25.54 (v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5938, 165, 5920])).
% 39.06/25.54 tff(5940,plain,
% 39.06/25.54 (v90(constB42, bitIndex2) | (~v90(constB43, bitIndex2))),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5939, 5932])).
% 39.06/25.54 tff(5941,plain,
% 39.06/25.54 (~v90(constB43, bitIndex2)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5940, 5914])).
% 39.06/25.54 tff(5942,plain,
% 39.06/25.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB41)) | v130(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB41)) | v130(constB41, bitIndex1))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5943,plain,
% 39.06/25.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB41)) | v130(constB41, bitIndex1))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5944,plain,
% 39.06/25.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB41)) | v130(constB41, bitIndex1)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5943, 5942])).
% 39.06/25.54 tff(5945,plain,
% 39.06/25.54 (v130(constB41, bitIndex1)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5944, 1717, 5819])).
% 39.06/25.54 tff(5946,plain,
% 39.06/25.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5947,plain,
% 39.06/25.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5948,plain,
% 39.06/25.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5947, 5946])).
% 39.06/25.54 tff(5949,plain,
% 39.06/25.54 ((~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5948, 882, 5843])).
% 39.06/25.54 tff(5950,plain,
% 39.06/25.54 (v127(constB41, bitIndex1)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5949, 5945])).
% 39.06/25.54 tff(5951,plain,
% 39.06/25.54 (((~![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))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5952,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5953,plain,
% 39.06/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5952, 5951])).
% 39.06/25.54 tff(5954,plain,
% 39.06/25.54 ((~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5953, 897, 5855])).
% 39.06/25.54 tff(5955,plain,
% 39.06/25.54 (v129(constB42, bitIndex1)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5954, 5950])).
% 39.06/25.54 tff(5956,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5957,plain,
% 39.06/25.54 ((v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1))) <=> (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5958,plain,
% 39.06/25.54 (((~![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))))),
% 39.06/25.54 inference(monotonicity,[status(thm)],[5957])).
% 39.06/25.54 tff(5959,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(transitivity,[status(thm)],[5958, 5956])).
% 39.06/25.54 tff(5960,plain,
% 39.06/25.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5961,plain,
% 39.06/25.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42))),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 39.06/25.54 tff(5962,plain,
% 39.06/25.54 (v90(constB42, bitIndex1) | (~v100(constB42))),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5961, 912, 5955])).
% 39.06/25.54 tff(5963,plain,
% 39.06/25.54 (v90(constB42, bitIndex1)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5962, 5889])).
% 39.06/25.54 tff(5964,plain,
% 39.06/25.54 (((~![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))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5965,plain,
% 39.06/25.54 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1)) <=> ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5966,plain,
% 39.06/25.54 (((~![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)))),
% 39.06/25.54 inference(monotonicity,[status(thm)],[5965])).
% 39.06/25.54 tff(5967,plain,
% 39.06/25.54 (((~![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))),
% 39.06/25.54 inference(transitivity,[status(thm)],[5966, 5964])).
% 39.06/25.54 tff(5968,plain,
% 39.06/25.54 ((~![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))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5969,plain,
% 39.06/25.54 ((~![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)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 39.06/25.54 tff(5970,plain,
% 39.06/25.54 ((~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5969, 1049, 5920])).
% 39.06/25.54 tff(5971,plain,
% 39.06/25.54 ((~v90(constB42, bitIndex1)) | v90(constB43, bitIndex1)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5970, 5932])).
% 39.06/25.54 tff(5972,plain,
% 39.06/25.54 (v90(constB43, bitIndex1)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5971, 5963])).
% 39.06/25.54 tff(5973,plain,
% 39.06/25.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB41)) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB41)) | v130(constB41, bitIndex0))),
% 39.06/25.54 inference(rewrite,[status(thm)],[])).
% 39.06/25.54 tff(5974,plain,
% 39.06/25.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB41)) | v130(constB41, bitIndex0))),
% 39.06/25.54 inference(quant_inst,[status(thm)],[])).
% 39.06/25.54 tff(5975,plain,
% 39.06/25.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB41)) | v130(constB41, bitIndex0)),
% 39.06/25.54 inference(modus_ponens,[status(thm)],[5974, 5973])).
% 39.06/25.54 tff(5976,plain,
% 39.06/25.54 (v130(constB41, bitIndex0)),
% 39.06/25.54 inference(unit_resolution,[status(thm)],[5975, 1758, 5819])).
% 39.06/25.54 tff(5977,plain,
% 39.06/25.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(5978,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(5979,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[5978, 5977])).
% 39.06/25.55 tff(5980,plain,
% 39.06/25.55 ((~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[5979, 601, 5843])).
% 39.06/25.55 tff(5981,plain,
% 39.06/25.55 (v127(constB41, bitIndex0)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[5980, 5976])).
% 39.06/25.55 tff(5982,plain,
% 39.06/25.55 (((~![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))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(5983,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(5984,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 39.06/25.55 tff(5985,plain,
% 39.06/25.55 ((~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[5984, 616, 5855])).
% 39.06/25.55 tff(5986,plain,
% 39.06/25.55 (v129(constB42, bitIndex0)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[5985, 5981])).
% 39.06/25.55 tff(5987,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(5988,plain,
% 39.06/25.55 ((v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0))) <=> (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(5989,plain,
% 39.06/25.55 (((~![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))))),
% 39.06/25.55 inference(monotonicity,[status(thm)],[5988])).
% 39.06/25.55 tff(5990,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(transitivity,[status(thm)],[5989, 5987])).
% 39.06/25.55 tff(5991,plain,
% 39.06/25.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(5992,plain,
% 39.06/25.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 39.06/25.55 tff(5993,plain,
% 39.06/25.55 (v90(constB42, bitIndex0) | (~v100(constB42))),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[5992, 631, 5986])).
% 39.06/25.55 tff(5994,plain,
% 39.06/25.55 (v90(constB42, bitIndex0)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[5993, 5889])).
% 39.06/25.55 tff(5995,plain,
% 39.06/25.55 (((~![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))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(5996,plain,
% 39.06/25.55 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0)) <=> ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(5997,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(monotonicity,[status(thm)],[5996])).
% 39.06/25.55 tff(5998,plain,
% 39.06/25.55 (((~![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))),
% 39.06/25.55 inference(transitivity,[status(thm)],[5997, 5995])).
% 39.06/25.55 tff(5999,plain,
% 39.06/25.55 ((~![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))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6000,plain,
% 39.06/25.55 ((~![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)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[5999, 5998])).
% 39.06/25.55 tff(6001,plain,
% 39.06/25.55 ((~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6000, 649, 5920])).
% 39.06/25.55 tff(6002,plain,
% 39.06/25.55 ((~v90(constB42, bitIndex0)) | v90(constB43, bitIndex0)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6001, 5932])).
% 39.06/25.55 tff(6003,plain,
% 39.06/25.55 (v90(constB43, bitIndex0)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6002, 5994])).
% 39.06/25.55 tff(6004,plain,
% 39.06/25.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6005,plain,
% 39.06/25.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6006,plain,
% 39.06/25.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 39.06/25.55 tff(6007,plain,
% 39.06/25.55 (v122(constB43)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6006, 1184, 6003, 5972, 5941])).
% 39.06/25.55 tff(6008,plain,
% 39.06/25.55 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB43) | (~v122(constB43)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB43) | (~v122(constB43)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6009,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB43) | (~v122(constB43)))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6010,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB43) | (~v122(constB43))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6009, 6008])).
% 39.06/25.55 tff(6011,plain,
% 39.06/25.55 (v116(constB43)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6010, 1149, 6007])).
% 39.06/25.55 tff(6012,plain,
% 39.06/25.55 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB43) | (~v116(constB43)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6013,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB43) | (~v116(constB43)))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6014,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB43) | (~v116(constB43))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 39.06/25.55 tff(6015,plain,
% 39.06/25.55 (v115(constB43)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6014, 272, 6011])).
% 39.06/25.55 tff(6016,plain,
% 39.06/25.55 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6017,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6018,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6017, 6016])).
% 39.06/25.55 tff(6019,plain,
% 39.06/25.55 (v114(constB43)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6018, 283, 6015])).
% 39.06/25.55 tff(6020,plain,
% 39.06/25.55 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6021,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6022,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6021, 6020])).
% 39.06/25.55 tff(6023,plain,
% 39.06/25.55 (v113(constB43)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6022, 294, 6019])).
% 39.06/25.55 tff(6024,assumption,(v26(constB43)), introduced(assumption)).
% 39.06/25.55 tff(6025,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6026,plain,
% 39.06/25.55 ($false),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6025, 86, 6024])).
% 39.06/25.55 tff(6027,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 39.06/25.55 tff(6028,plain,
% 39.06/25.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6029,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6030,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6029, 6028])).
% 39.06/25.55 tff(6031,plain,
% 39.06/25.55 ((~v113(constB43)) | v112(constB43)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6030, 308, 6027])).
% 39.06/25.55 tff(6032,plain,
% 39.06/25.55 (v112(constB43)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6031, 6023])).
% 39.06/25.55 tff(6033,plain,
% 39.06/25.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6034,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6035,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 39.06/25.55 tff(6036,plain,
% 39.06/25.55 (v108(constB43)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6035, 320, 6032])).
% 39.06/25.55 tff(6037,plain,
% 39.06/25.55 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6038,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 39.06/25.55 tff(6039,plain,
% 39.06/25.55 (nextState(constB43, constB44)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6038, 6037])).
% 39.06/25.55 tff(6040,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6041,plain,
% 39.06/25.55 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6042,plain,
% 39.06/25.55 (((~![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))))),
% 39.06/25.55 inference(monotonicity,[status(thm)],[6041])).
% 39.06/25.55 tff(6043,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(transitivity,[status(thm)],[6042, 6040])).
% 39.06/25.55 tff(6044,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6045,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6044, 6043])).
% 39.06/25.55 tff(6046,plain,
% 39.06/25.55 (v110(constB44) | (~v108(constB43))),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6045, 337, 6039])).
% 39.06/25.55 tff(6047,plain,
% 39.06/25.55 (v110(constB44)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6046, 6036])).
% 39.06/25.55 tff(6048,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6049,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6050,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6049, 6048])).
% 39.06/25.55 tff(6051,plain,
% 39.06/25.55 (~v104(constB44)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6050, 355, 6039, 5917])).
% 39.06/25.55 tff(6052,plain,
% 39.06/25.55 (((~![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))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6053,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6054,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6053, 6052])).
% 39.06/25.55 tff(6055,plain,
% 39.06/25.55 (v102(constB44) | v104(constB44)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6054, 369, 6039])).
% 39.06/25.55 tff(6056,plain,
% 39.06/25.55 (v102(constB44)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6055, 6051])).
% 39.06/25.55 tff(6057,plain,
% 39.06/25.55 (v1(constB44) <=> v1(constB44)),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6058,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 39.06/25.55 tff(6059,plain,
% 39.06/25.55 (v1(constB44)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 39.06/25.55 tff(6060,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6061,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6062,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 39.06/25.55 tff(6063,plain,
% 39.06/25.55 (v101(constB44) | (~v102(constB44))),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6062, 387, 6039, 6059])).
% 39.06/25.55 tff(6064,plain,
% 39.06/25.55 (v101(constB44)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6063, 6056])).
% 39.06/25.55 tff(6065,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6066,plain,
% 39.06/25.55 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6067,plain,
% 39.06/25.55 (((~![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))))),
% 39.06/25.55 inference(monotonicity,[status(thm)],[6066])).
% 39.06/25.55 tff(6068,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(transitivity,[status(thm)],[6067, 6065])).
% 39.06/25.55 tff(6069,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6070,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 39.06/25.55 tff(6071,plain,
% 39.06/25.55 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6070, 402, 6039])).
% 39.06/25.55 tff(6072,plain,
% 39.06/25.55 (v100(constB44) | (~v110(constB44))),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6071, 6064])).
% 39.06/25.55 tff(6073,plain,
% 39.06/25.55 (v100(constB44)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6072, 6047])).
% 39.06/25.55 tff(6074,plain,
% 39.06/25.55 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB43)) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB43)) | v130(constB43, bitIndex2))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6075,plain,
% 39.06/25.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB43)) | v130(constB43, bitIndex2))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6076,plain,
% 39.06/25.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB43)) | v130(constB43, bitIndex2)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6075, 6074])).
% 39.06/25.55 tff(6077,plain,
% 39.06/25.55 (v130(constB43, bitIndex2)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6076, 1803, 6007])).
% 39.06/25.55 tff(6078,plain,
% 39.06/25.55 (((~![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))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6079,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6080,plain,
% 39.06/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6079, 6078])).
% 39.06/25.55 tff(6081,plain,
% 39.06/25.55 ((~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6080, 1821, 6027])).
% 39.06/25.55 tff(6082,plain,
% 39.06/25.55 (v127(constB43, bitIndex2)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6081, 6077])).
% 39.06/25.55 tff(6083,plain,
% 39.06/25.55 (((~![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))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6084,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6085,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6084, 6083])).
% 39.06/25.55 tff(6086,plain,
% 39.06/25.55 ((~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6085, 1836, 6039])).
% 39.06/25.55 tff(6087,plain,
% 39.06/25.55 (v129(constB44, bitIndex2)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6086, 6082])).
% 39.06/25.55 tff(6088,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6089,plain,
% 39.06/25.55 ((v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6090,plain,
% 39.06/25.55 (((~![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))))),
% 39.06/25.55 inference(monotonicity,[status(thm)],[6089])).
% 39.06/25.55 tff(6091,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(transitivity,[status(thm)],[6090, 6088])).
% 39.06/25.55 tff(6092,plain,
% 39.06/25.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6093,plain,
% 39.06/25.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 39.06/25.55 tff(6094,plain,
% 39.06/25.55 (v90(constB44, bitIndex2) | (~v100(constB44))),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6093, 2100, 6087])).
% 39.06/25.55 tff(6095,plain,
% 39.06/25.55 (v90(constB44, bitIndex2)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6094, 6073])).
% 39.06/25.55 tff(6096,plain,
% 39.06/25.55 ((~v1(constB45)) <=> (~v1(constB45))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6097,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 39.06/25.55 tff(6098,plain,
% 39.06/25.55 (~v1(constB45)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6097, 6096])).
% 39.06/25.55 tff(6099,plain,
% 39.06/25.55 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6100,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 39.06/25.55 tff(6101,plain,
% 39.06/25.55 (nextState(constB44, constB45)),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6100, 6099])).
% 39.06/25.55 tff(6102,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6103,plain,
% 39.06/25.55 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6104,plain,
% 39.06/25.55 (((~![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))))),
% 39.06/25.55 inference(monotonicity,[status(thm)],[6103])).
% 39.06/25.55 tff(6105,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(transitivity,[status(thm)],[6104, 6102])).
% 39.06/25.55 tff(6106,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6107,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6106, 6105])).
% 39.06/25.55 tff(6108,plain,
% 39.06/25.55 (~v101(constB45)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6107, 133, 6101, 6098])).
% 39.06/25.55 tff(6109,plain,
% 39.06/25.55 (((~![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)))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6110,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 39.06/25.55 inference(quant_inst,[status(thm)],[])).
% 39.06/25.55 tff(6111,plain,
% 39.06/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 39.06/25.55 inference(modus_ponens,[status(thm)],[6110, 6109])).
% 39.06/25.55 tff(6112,plain,
% 39.06/25.55 (v101(constB45) | (~v100(constB45))),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6111, 150, 6101])).
% 39.06/25.55 tff(6113,plain,
% 39.06/25.55 (~v100(constB45)),
% 39.06/25.55 inference(unit_resolution,[status(thm)],[6112, 6108])).
% 39.06/25.55 tff(6114,plain,
% 39.06/25.55 (((~![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))),
% 39.06/25.55 inference(rewrite,[status(thm)],[])).
% 39.06/25.55 tff(6115,plain,
% 39.06/25.55 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)) <=> ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6116,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(monotonicity,[status(thm)],[6115])).
% 39.06/25.56 tff(6117,plain,
% 39.06/25.56 (((~![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))),
% 39.06/25.56 inference(transitivity,[status(thm)],[6116, 6114])).
% 39.06/25.56 tff(6118,plain,
% 39.06/25.56 ((~![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))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6119,plain,
% 39.06/25.56 ((~![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)),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6118, 6117])).
% 39.06/25.56 tff(6120,plain,
% 39.06/25.56 ((~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6119, 2118, 6101])).
% 39.06/25.56 tff(6121,plain,
% 39.06/25.56 ((~v90(constB44, bitIndex2)) | v90(constB45, bitIndex2)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6120, 6113])).
% 39.06/25.56 tff(6122,plain,
% 39.06/25.56 (v90(constB45, bitIndex2)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6121, 6095])).
% 39.06/25.56 tff(6123,plain,
% 39.06/25.56 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6124,plain,
% 39.06/25.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6125,plain,
% 39.06/25.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6124, 6123])).
% 39.06/25.56 tff(6126,plain,
% 39.06/25.56 (~v130(constB43, bitIndex1)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6125, 2137, 6007])).
% 39.06/25.56 tff(6127,plain,
% 39.06/25.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6128,plain,
% 39.06/25.56 ((v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1))) <=> ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6129,plain,
% 39.06/25.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)))),
% 39.06/25.56 inference(monotonicity,[status(thm)],[6128])).
% 39.06/25.56 tff(6130,plain,
% 39.06/25.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 39.06/25.56 inference(transitivity,[status(thm)],[6129, 6127])).
% 39.06/25.56 tff(6131,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6132,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6131, 6130])).
% 39.06/25.56 tff(6133,plain,
% 39.06/25.56 ((~v127(constB43, bitIndex1)) | v130(constB43, bitIndex1)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6132, 527, 6027])).
% 39.06/25.56 tff(6134,plain,
% 39.06/25.56 (~v127(constB43, bitIndex1)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6133, 6126])).
% 39.06/25.56 tff(6135,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6136,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6137,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6136, 6135])).
% 39.06/25.56 tff(6138,plain,
% 39.06/25.56 (v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6137, 545, 6039])).
% 39.06/25.56 tff(6139,plain,
% 39.06/25.56 (~v129(constB44, bitIndex1)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6138, 6134])).
% 39.06/25.56 tff(6140,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6141,plain,
% 39.06/25.56 (((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6142,plain,
% 39.06/25.56 (((~![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))))),
% 39.06/25.56 inference(monotonicity,[status(thm)],[6141])).
% 39.06/25.56 tff(6143,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(transitivity,[status(thm)],[6142, 6140])).
% 39.06/25.56 tff(6144,plain,
% 39.06/25.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6145,plain,
% 39.06/25.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6144, 6143])).
% 39.06/25.56 tff(6146,plain,
% 39.06/25.56 ((~v90(constB44, bitIndex1)) | (~v100(constB44))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6145, 560, 6139])).
% 39.06/25.56 tff(6147,plain,
% 39.06/25.56 (~v90(constB44, bitIndex1)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6146, 6073])).
% 39.06/25.56 tff(6148,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6149,plain,
% 39.06/25.56 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6150,plain,
% 39.06/25.56 (((~![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))))),
% 39.06/25.56 inference(monotonicity,[status(thm)],[6149])).
% 39.06/25.56 tff(6151,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(transitivity,[status(thm)],[6150, 6148])).
% 39.06/25.56 tff(6152,plain,
% 39.06/25.56 ((~![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)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6153,plain,
% 39.06/25.56 ((~![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))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6152, 6151])).
% 39.06/25.56 tff(6154,plain,
% 39.06/25.56 (v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6153, 186, 6101])).
% 39.06/25.56 tff(6155,plain,
% 39.06/25.56 (v90(constB44, bitIndex1) | (~v90(constB45, bitIndex1))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6154, 6113])).
% 39.06/25.56 tff(6156,plain,
% 39.06/25.56 (~v90(constB45, bitIndex1)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6155, 6147])).
% 39.06/25.56 tff(6157,plain,
% 39.06/25.56 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6158,plain,
% 39.06/25.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6159,plain,
% 39.06/25.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6158, 6157])).
% 39.06/25.56 tff(6160,plain,
% 39.06/25.56 (~v130(constB43, bitIndex0)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6159, 1486, 6007])).
% 39.06/25.56 tff(6161,plain,
% 39.06/25.56 (((~![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))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6162,plain,
% 39.06/25.56 ((v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0))) <=> ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6163,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(monotonicity,[status(thm)],[6162])).
% 39.06/25.56 tff(6164,plain,
% 39.06/25.56 (((~![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))),
% 39.06/25.56 inference(transitivity,[status(thm)],[6163, 6161])).
% 39.06/25.56 tff(6165,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6166,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6165, 6164])).
% 39.06/25.56 tff(6167,plain,
% 39.06/25.56 ((~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6166, 944, 6027])).
% 39.06/25.56 tff(6168,plain,
% 39.06/25.56 (~v127(constB43, bitIndex0)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6167, 6160])).
% 39.06/25.56 tff(6169,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6170,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6171,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6170, 6169])).
% 39.06/25.56 tff(6172,plain,
% 39.06/25.56 (v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6171, 962, 6039])).
% 39.06/25.56 tff(6173,plain,
% 39.06/25.56 (~v129(constB44, bitIndex0)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6172, 6168])).
% 39.06/25.56 tff(6174,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6175,plain,
% 39.06/25.56 (((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0)) <=> ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6176,plain,
% 39.06/25.56 (((~![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))))),
% 39.06/25.56 inference(monotonicity,[status(thm)],[6175])).
% 39.06/25.56 tff(6177,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(transitivity,[status(thm)],[6176, 6174])).
% 39.06/25.56 tff(6178,plain,
% 39.06/25.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6179,plain,
% 39.06/25.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6178, 6177])).
% 39.06/25.56 tff(6180,plain,
% 39.06/25.56 ((~v90(constB44, bitIndex0)) | (~v100(constB44))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6179, 977, 6173])).
% 39.06/25.56 tff(6181,plain,
% 39.06/25.56 (~v90(constB44, bitIndex0)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6180, 6073])).
% 39.06/25.56 tff(6182,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6183,plain,
% 39.06/25.56 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))) <=> (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6184,plain,
% 39.06/25.56 (((~![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))))),
% 39.06/25.56 inference(monotonicity,[status(thm)],[6183])).
% 39.06/25.56 tff(6185,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(transitivity,[status(thm)],[6184, 6182])).
% 39.06/25.56 tff(6186,plain,
% 39.06/25.56 ((~![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)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6187,plain,
% 39.06/25.56 ((~![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))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 39.06/25.56 tff(6188,plain,
% 39.06/25.56 (v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6187, 207, 6101])).
% 39.06/25.56 tff(6189,plain,
% 39.06/25.56 (v90(constB44, bitIndex0) | (~v90(constB45, bitIndex0))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6188, 6113])).
% 39.06/25.56 tff(6190,plain,
% 39.06/25.56 (~v90(constB45, bitIndex0)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6189, 6181])).
% 39.06/25.56 tff(6191,plain,
% 39.06/25.56 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6192,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6193,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45)),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 39.06/25.56 tff(6194,plain,
% 39.06/25.56 (v123(constB45)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6193, 1280, 6190, 6156, 6122])).
% 39.06/25.56 tff(6195,plain,
% 39.06/25.56 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB45) | (~v123(constB45)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB45) | (~v123(constB45)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6196,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB45) | (~v123(constB45)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6197,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB45) | (~v123(constB45))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6196, 6195])).
% 39.06/25.56 tff(6198,plain,
% 39.06/25.56 (v115(constB45)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6197, 1247, 6194])).
% 39.06/25.56 tff(6199,plain,
% 39.06/25.56 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB45) | (~v115(constB45)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB45) | (~v115(constB45)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6200,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB45) | (~v115(constB45)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6201,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB45) | (~v115(constB45))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6200, 6199])).
% 39.06/25.56 tff(6202,plain,
% 39.06/25.56 (v114(constB45)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6201, 283, 6198])).
% 39.06/25.56 tff(6203,plain,
% 39.06/25.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB45) | (~v114(constB45)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB45) | (~v114(constB45)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6204,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB45) | (~v114(constB45)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6205,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB45) | (~v114(constB45))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6204, 6203])).
% 39.06/25.56 tff(6206,plain,
% 39.06/25.56 (v113(constB45)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6205, 294, 6202])).
% 39.06/25.56 tff(6207,assumption,(v26(constB45)), introduced(assumption)).
% 39.06/25.56 tff(6208,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6209,plain,
% 39.06/25.56 ($false),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6208, 86, 6207])).
% 39.06/25.56 tff(6210,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 39.06/25.56 tff(6211,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6212,plain,
% 39.06/25.56 ((v26(constB45) | (~v113(constB45)) | v112(constB45)) <=> (v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6213,plain,
% 39.06/25.56 (((~![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))))),
% 39.06/25.56 inference(monotonicity,[status(thm)],[6212])).
% 39.06/25.56 tff(6214,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(transitivity,[status(thm)],[6213, 6211])).
% 39.06/25.56 tff(6215,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6216,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6215, 6214])).
% 39.06/25.56 tff(6217,plain,
% 39.06/25.56 (v112(constB45) | (~v113(constB45))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6216, 308, 6210])).
% 39.06/25.56 tff(6218,plain,
% 39.06/25.56 (v112(constB45)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6217, 6206])).
% 39.06/25.56 tff(6219,plain,
% 39.06/25.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6220,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6221,plain,
% 39.06/25.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6220, 6219])).
% 39.06/25.56 tff(6222,plain,
% 39.06/25.56 (v108(constB45)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6221, 320, 6218])).
% 39.06/25.56 tff(6223,plain,
% 39.06/25.56 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6224,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 39.06/25.56 tff(6225,plain,
% 39.06/25.56 (nextState(constB45, constB46)),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6224, 6223])).
% 39.06/25.56 tff(6226,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6227,plain,
% 39.06/25.56 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6228,plain,
% 39.06/25.56 (((~![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))))),
% 39.06/25.56 inference(monotonicity,[status(thm)],[6227])).
% 39.06/25.56 tff(6229,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(transitivity,[status(thm)],[6228, 6226])).
% 39.06/25.56 tff(6230,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6231,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6230, 6229])).
% 39.06/25.56 tff(6232,plain,
% 39.06/25.56 (v110(constB46) | (~v108(constB45))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6231, 337, 6225])).
% 39.06/25.56 tff(6233,plain,
% 39.06/25.56 (v110(constB46)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6232, 6222])).
% 39.06/25.56 tff(6234,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6235,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6236,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6235, 6234])).
% 39.06/25.56 tff(6237,plain,
% 39.06/25.56 (~v104(constB46)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6236, 355, 6225, 6098])).
% 39.06/25.56 tff(6238,plain,
% 39.06/25.56 (((~![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))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6239,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6240,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6239, 6238])).
% 39.06/25.56 tff(6241,plain,
% 39.06/25.56 (v102(constB46) | v104(constB46)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6240, 369, 6225])).
% 39.06/25.56 tff(6242,plain,
% 39.06/25.56 (v102(constB46)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6241, 6237])).
% 39.06/25.56 tff(6243,plain,
% 39.06/25.56 (v1(constB46) <=> v1(constB46)),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6244,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 39.06/25.56 tff(6245,plain,
% 39.06/25.56 (v1(constB46)),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6244, 6243])).
% 39.06/25.56 tff(6246,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6247,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6248,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6247, 6246])).
% 39.06/25.56 tff(6249,plain,
% 39.06/25.56 (v101(constB46) | (~v102(constB46))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6248, 387, 6225, 6245])).
% 39.06/25.56 tff(6250,plain,
% 39.06/25.56 (v101(constB46)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6249, 6242])).
% 39.06/25.56 tff(6251,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6252,plain,
% 39.06/25.56 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 39.06/25.56 inference(rewrite,[status(thm)],[])).
% 39.06/25.56 tff(6253,plain,
% 39.06/25.56 (((~![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))))),
% 39.06/25.56 inference(monotonicity,[status(thm)],[6252])).
% 39.06/25.56 tff(6254,plain,
% 39.06/25.56 (((~![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)))),
% 39.06/25.56 inference(transitivity,[status(thm)],[6253, 6251])).
% 39.06/25.56 tff(6255,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 39.06/25.56 inference(quant_inst,[status(thm)],[])).
% 39.06/25.56 tff(6256,plain,
% 39.06/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 39.06/25.56 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 39.06/25.56 tff(6257,plain,
% 39.06/25.56 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6256, 402, 6225])).
% 39.06/25.56 tff(6258,plain,
% 39.06/25.56 (v100(constB46) | (~v110(constB46))),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6257, 6250])).
% 39.06/25.56 tff(6259,plain,
% 39.06/25.56 (v100(constB46)),
% 39.06/25.56 inference(unit_resolution,[status(thm)],[6258, 6233])).
% 39.06/25.56 tff(6260,plain,
% 39.06/25.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6261,plain,
% 39.06/25.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6262,plain,
% 39.06/25.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2)),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6261, 6260])).
% 39.06/25.57 tff(6263,plain,
% 39.06/25.57 (v130(constB45, bitIndex2)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6262, 2165, 6194])).
% 39.06/25.57 tff(6264,plain,
% 39.06/25.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6265,plain,
% 39.06/25.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6266,plain,
% 39.06/25.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6265, 6264])).
% 39.06/25.57 tff(6267,plain,
% 39.06/25.57 ((~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6266, 1821, 6210])).
% 39.06/25.57 tff(6268,plain,
% 39.06/25.57 (v127(constB45, bitIndex2)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6267, 6263])).
% 39.06/25.57 tff(6269,plain,
% 39.06/25.57 (((~![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))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6270,plain,
% 39.06/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6271,plain,
% 39.06/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6270, 6269])).
% 39.06/25.57 tff(6272,plain,
% 39.06/25.57 ((~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6271, 1836, 6225])).
% 39.06/25.57 tff(6273,plain,
% 39.06/25.57 (v129(constB46, bitIndex2)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6272, 6268])).
% 39.06/25.57 tff(6274,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6275,plain,
% 39.06/25.57 ((v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2))) <=> (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6276,plain,
% 39.06/25.57 (((~![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))))),
% 39.06/25.57 inference(monotonicity,[status(thm)],[6275])).
% 39.06/25.57 tff(6277,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(transitivity,[status(thm)],[6276, 6274])).
% 39.06/25.57 tff(6278,plain,
% 39.06/25.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6279,plain,
% 39.06/25.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6278, 6277])).
% 39.06/25.57 tff(6280,plain,
% 39.06/25.57 (v90(constB46, bitIndex2) | (~v100(constB46))),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6279, 2100, 6273])).
% 39.06/25.57 tff(6281,plain,
% 39.06/25.57 (v90(constB46, bitIndex2)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6280, 6259])).
% 39.06/25.57 tff(6282,plain,
% 39.06/25.57 ((~v1(constB47)) <=> (~v1(constB47))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6283,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 39.06/25.57 tff(6284,plain,
% 39.06/25.57 (~v1(constB47)),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6283, 6282])).
% 39.06/25.57 tff(6285,plain,
% 39.06/25.57 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6286,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 39.06/25.57 tff(6287,plain,
% 39.06/25.57 (nextState(constB46, constB47)),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6286, 6285])).
% 39.06/25.57 tff(6288,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6289,plain,
% 39.06/25.57 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6290,plain,
% 39.06/25.57 (((~![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))))),
% 39.06/25.57 inference(monotonicity,[status(thm)],[6289])).
% 39.06/25.57 tff(6291,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(transitivity,[status(thm)],[6290, 6288])).
% 39.06/25.57 tff(6292,plain,
% 39.06/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6293,plain,
% 39.06/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6292, 6291])).
% 39.06/25.57 tff(6294,plain,
% 39.06/25.57 (~v101(constB47)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6293, 133, 6287, 6284])).
% 39.06/25.57 tff(6295,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6296,plain,
% 39.06/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6297,plain,
% 39.06/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6296, 6295])).
% 39.06/25.57 tff(6298,plain,
% 39.06/25.57 (v101(constB47) | (~v100(constB47))),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6297, 150, 6287])).
% 39.06/25.57 tff(6299,plain,
% 39.06/25.57 (~v100(constB47)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6298, 6294])).
% 39.06/25.57 tff(6300,plain,
% 39.06/25.57 (((~![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))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6301,plain,
% 39.06/25.57 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)) <=> ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6302,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(monotonicity,[status(thm)],[6301])).
% 39.06/25.57 tff(6303,plain,
% 39.06/25.57 (((~![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))),
% 39.06/25.57 inference(transitivity,[status(thm)],[6302, 6300])).
% 39.06/25.57 tff(6304,plain,
% 39.06/25.57 ((~![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))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6305,plain,
% 39.06/25.57 ((~![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)),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6304, 6303])).
% 39.06/25.57 tff(6306,plain,
% 39.06/25.57 ((~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6305, 2118, 6287])).
% 39.06/25.57 tff(6307,plain,
% 39.06/25.57 ((~v90(constB46, bitIndex2)) | v90(constB47, bitIndex2)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6306, 6299])).
% 39.06/25.57 tff(6308,plain,
% 39.06/25.57 (v90(constB47, bitIndex2)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6307, 6281])).
% 39.06/25.57 tff(6309,plain,
% 39.06/25.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v130(constB45, bitIndex1)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6310,plain,
% 39.06/25.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex1)))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6311,plain,
% 39.06/25.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v130(constB45, bitIndex1))),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6310, 6309])).
% 39.06/25.57 tff(6312,plain,
% 39.06/25.57 (~v130(constB45, bitIndex1)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6311, 1579, 6194])).
% 39.06/25.57 tff(6313,plain,
% 39.06/25.57 (((~![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))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6314,plain,
% 39.06/25.57 ((v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1))) <=> ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6315,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(monotonicity,[status(thm)],[6314])).
% 39.06/25.57 tff(6316,plain,
% 39.06/25.57 (((~![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))),
% 39.06/25.57 inference(transitivity,[status(thm)],[6315, 6313])).
% 39.06/25.57 tff(6317,plain,
% 39.06/25.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6318,plain,
% 39.06/25.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 39.06/25.57 tff(6319,plain,
% 39.06/25.57 ((~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6318, 527, 6210])).
% 39.06/25.57 tff(6320,plain,
% 39.06/25.57 (~v127(constB45, bitIndex1)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6319, 6312])).
% 39.06/25.57 tff(6321,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6322,plain,
% 39.06/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6323,plain,
% 39.06/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6322, 6321])).
% 39.06/25.57 tff(6324,plain,
% 39.06/25.57 (v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6323, 545, 6225])).
% 39.06/25.57 tff(6325,plain,
% 39.06/25.57 (~v129(constB46, bitIndex1)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6324, 6320])).
% 39.06/25.57 tff(6326,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6327,plain,
% 39.06/25.57 (((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1)) <=> ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6328,plain,
% 39.06/25.57 (((~![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))))),
% 39.06/25.57 inference(monotonicity,[status(thm)],[6327])).
% 39.06/25.57 tff(6329,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(transitivity,[status(thm)],[6328, 6326])).
% 39.06/25.57 tff(6330,plain,
% 39.06/25.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6331,plain,
% 39.06/25.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6330, 6329])).
% 39.06/25.57 tff(6332,plain,
% 39.06/25.57 ((~v90(constB46, bitIndex1)) | (~v100(constB46))),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6331, 560, 6325])).
% 39.06/25.57 tff(6333,plain,
% 39.06/25.57 (~v90(constB46, bitIndex1)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6332, 6259])).
% 39.06/25.57 tff(6334,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6335,plain,
% 39.06/25.57 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))) <=> (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6336,plain,
% 39.06/25.57 (((~![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))))),
% 39.06/25.57 inference(monotonicity,[status(thm)],[6335])).
% 39.06/25.57 tff(6337,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(transitivity,[status(thm)],[6336, 6334])).
% 39.06/25.57 tff(6338,plain,
% 39.06/25.57 ((~![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)))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6339,plain,
% 39.06/25.57 ((~![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))),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6338, 6337])).
% 39.06/25.57 tff(6340,plain,
% 39.06/25.57 (v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6339, 186, 6287])).
% 39.06/25.57 tff(6341,plain,
% 39.06/25.57 (v90(constB46, bitIndex1) | (~v90(constB47, bitIndex1))),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6340, 6299])).
% 39.06/25.57 tff(6342,plain,
% 39.06/25.57 (~v90(constB47, bitIndex1)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6341, 6333])).
% 39.06/25.57 tff(6343,plain,
% 39.06/25.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB45)) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB45)) | v130(constB45, bitIndex0))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6344,plain,
% 39.06/25.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB45)) | v130(constB45, bitIndex0))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6345,plain,
% 39.06/25.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB45)) | v130(constB45, bitIndex0)),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 39.06/25.57 tff(6346,plain,
% 39.06/25.57 (v130(constB45, bitIndex0)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6345, 2258, 6194])).
% 39.06/25.57 tff(6347,plain,
% 39.06/25.57 (((~![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))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6348,plain,
% 39.06/25.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6349,plain,
% 39.06/25.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 39.06/25.57 tff(6350,plain,
% 39.06/25.57 ((~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6349, 601, 6210])).
% 39.06/25.57 tff(6351,plain,
% 39.06/25.57 (v127(constB45, bitIndex0)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6350, 6346])).
% 39.06/25.57 tff(6352,plain,
% 39.06/25.57 (((~![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))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6353,plain,
% 39.06/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6354,plain,
% 39.06/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6353, 6352])).
% 39.06/25.57 tff(6355,plain,
% 39.06/25.57 ((~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6354, 616, 6225])).
% 39.06/25.57 tff(6356,plain,
% 39.06/25.57 (v129(constB46, bitIndex0)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6355, 6351])).
% 39.06/25.57 tff(6357,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6358,plain,
% 39.06/25.57 ((v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6359,plain,
% 39.06/25.57 (((~![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))))),
% 39.06/25.57 inference(monotonicity,[status(thm)],[6358])).
% 39.06/25.57 tff(6360,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.57 inference(transitivity,[status(thm)],[6359, 6357])).
% 39.06/25.57 tff(6361,plain,
% 39.06/25.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))),
% 39.06/25.57 inference(quant_inst,[status(thm)],[])).
% 39.06/25.57 tff(6362,plain,
% 39.06/25.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))),
% 39.06/25.57 inference(modus_ponens,[status(thm)],[6361, 6360])).
% 39.06/25.57 tff(6363,plain,
% 39.06/25.57 (v90(constB46, bitIndex0) | (~v100(constB46))),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6362, 631, 6356])).
% 39.06/25.57 tff(6364,plain,
% 39.06/25.57 (v90(constB46, bitIndex0)),
% 39.06/25.57 inference(unit_resolution,[status(thm)],[6363, 6259])).
% 39.06/25.57 tff(6365,plain,
% 39.06/25.57 (((~![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))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6366,plain,
% 39.06/25.57 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 39.06/25.57 inference(rewrite,[status(thm)],[])).
% 39.06/25.57 tff(6367,plain,
% 39.06/25.57 (((~![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)))),
% 39.06/25.58 inference(monotonicity,[status(thm)],[6366])).
% 39.06/25.58 tff(6368,plain,
% 39.06/25.58 (((~![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))),
% 39.06/25.58 inference(transitivity,[status(thm)],[6367, 6365])).
% 39.06/25.58 tff(6369,plain,
% 39.06/25.58 ((~![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))),
% 39.06/25.58 inference(quant_inst,[status(thm)],[])).
% 39.06/25.58 tff(6370,plain,
% 39.06/25.58 ((~![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)),
% 39.06/25.58 inference(modus_ponens,[status(thm)],[6369, 6368])).
% 39.06/25.58 tff(6371,plain,
% 39.06/25.58 ((~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6370, 649, 6287])).
% 39.06/25.58 tff(6372,plain,
% 39.06/25.58 ((~v90(constB46, bitIndex0)) | v90(constB47, bitIndex0)),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6371, 6299])).
% 39.06/25.58 tff(6373,plain,
% 39.06/25.58 (v90(constB47, bitIndex0)),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6372, 6364])).
% 39.06/25.58 tff(6374,plain,
% 39.06/25.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))),
% 39.06/25.58 inference(rewrite,[status(thm)],[])).
% 39.06/25.58 tff(6375,plain,
% 39.06/25.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))),
% 39.06/25.58 inference(quant_inst,[status(thm)],[])).
% 39.06/25.58 tff(6376,plain,
% 39.06/25.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47)),
% 39.06/25.58 inference(modus_ponens,[status(thm)],[6375, 6374])).
% 39.06/25.58 tff(6377,plain,
% 39.06/25.58 (v124(constB47)),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6376, 1264, 6373, 6342, 6308])).
% 39.06/25.58 tff(6378,plain,
% 39.06/25.58 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB47) | (~v124(constB47)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB47) | (~v124(constB47)))),
% 39.06/25.58 inference(rewrite,[status(thm)],[])).
% 39.06/25.58 tff(6379,plain,
% 39.06/25.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB47) | (~v124(constB47)))),
% 39.06/25.58 inference(quant_inst,[status(thm)],[])).
% 39.06/25.58 tff(6380,plain,
% 39.06/25.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB47) | (~v124(constB47))),
% 39.06/25.58 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 39.06/25.58 tff(6381,plain,
% 39.06/25.58 (v114(constB47)),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6380, 1236, 6377])).
% 39.06/25.58 tff(6382,plain,
% 39.06/25.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47)))),
% 39.06/25.58 inference(rewrite,[status(thm)],[])).
% 39.06/25.58 tff(6383,plain,
% 39.06/25.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))),
% 39.06/25.58 inference(quant_inst,[status(thm)],[])).
% 39.06/25.58 tff(6384,plain,
% 39.06/25.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47))),
% 39.06/25.58 inference(modus_ponens,[status(thm)],[6383, 6382])).
% 39.06/25.58 tff(6385,plain,
% 39.06/25.58 (v113(constB47)),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6384, 294, 6381])).
% 39.06/25.58 tff(6386,assumption,(~v108(constB47)), introduced(assumption)).
% 39.06/25.58 tff(6387,plain,
% 39.06/25.58 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47)))),
% 39.06/25.58 inference(rewrite,[status(thm)],[])).
% 39.06/25.58 tff(6388,plain,
% 39.06/25.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))),
% 39.06/25.58 inference(quant_inst,[status(thm)],[])).
% 39.06/25.58 tff(6389,plain,
% 39.06/25.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47))),
% 39.06/25.58 inference(modus_ponens,[status(thm)],[6388, 6387])).
% 39.06/25.58 tff(6390,plain,
% 39.06/25.58 (~v112(constB47)),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6389, 320, 6386])).
% 39.06/25.58 tff(6391,plain,
% 39.06/25.58 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB47) | (~v26(constB47)))),
% 39.06/25.58 inference(rewrite,[status(thm)],[])).
% 39.06/25.58 tff(6392,plain,
% 39.06/25.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB47) | (~v26(constB47)))),
% 39.06/25.58 inference(quant_inst,[status(thm)],[])).
% 39.06/25.58 tff(6393,plain,
% 39.06/25.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB47) | (~v26(constB47))),
% 39.06/25.58 inference(modus_ponens,[status(thm)],[6392, 6391])).
% 39.06/25.58 tff(6394,plain,
% 39.06/25.58 (~v26(constB47)),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6393, 766, 6386])).
% 39.06/25.58 tff(6395,assumption,(v113(constB47)), introduced(assumption)).
% 39.06/25.58 tff(6396,plain,
% 39.06/25.58 (((~![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)))),
% 39.06/25.58 inference(rewrite,[status(thm)],[])).
% 39.06/25.58 tff(6397,plain,
% 39.06/25.58 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 39.06/25.58 inference(rewrite,[status(thm)],[])).
% 39.06/25.58 tff(6398,plain,
% 39.06/25.58 (((~![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))))),
% 39.06/25.58 inference(monotonicity,[status(thm)],[6397])).
% 39.06/25.58 tff(6399,plain,
% 39.06/25.58 (((~![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)))),
% 39.06/25.58 inference(transitivity,[status(thm)],[6398, 6396])).
% 39.06/25.58 tff(6400,plain,
% 39.06/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 39.06/25.58 inference(quant_inst,[status(thm)],[])).
% 39.06/25.58 tff(6401,plain,
% 39.06/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 39.06/25.58 inference(modus_ponens,[status(thm)],[6400, 6399])).
% 39.06/25.58 tff(6402,plain,
% 39.06/25.58 (v26(constB47) | v112(constB47)),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6401, 308, 6395])).
% 39.06/25.58 tff(6403,plain,
% 39.06/25.58 ($false),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6402, 6394, 6390])).
% 39.06/25.58 tff(6404,plain,(v108(constB47) | (~v113(constB47))), inference(lemma,lemma(discharge,[]))).
% 39.06/25.58 tff(6405,plain,
% 39.06/25.58 (v108(constB47)),
% 39.06/25.58 inference(unit_resolution,[status(thm)],[6404, 6385])).
% 39.14/25.58 tff(6406,plain,
% 39.14/25.58 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6407,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 39.14/25.58 tff(6408,plain,
% 39.14/25.58 (nextState(constB47, constB48)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6407, 6406])).
% 39.14/25.58 tff(6409,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6410,plain,
% 39.14/25.58 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6411,plain,
% 39.14/25.58 (((~![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))))),
% 39.14/25.58 inference(monotonicity,[status(thm)],[6410])).
% 39.14/25.58 tff(6412,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(transitivity,[status(thm)],[6411, 6409])).
% 39.14/25.58 tff(6413,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6414,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6413, 6412])).
% 39.14/25.58 tff(6415,plain,
% 39.14/25.58 (v110(constB48) | (~v108(constB47))),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6414, 337, 6408])).
% 39.14/25.58 tff(6416,plain,
% 39.14/25.58 (v110(constB48)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6415, 6405])).
% 39.14/25.58 tff(6417,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6418,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6419,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 39.14/25.58 tff(6420,plain,
% 39.14/25.58 (~v104(constB48)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6419, 355, 6408, 6284])).
% 39.14/25.58 tff(6421,plain,
% 39.14/25.58 (((~![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))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6422,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6423,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6422, 6421])).
% 39.14/25.58 tff(6424,plain,
% 39.14/25.58 (v102(constB48) | v104(constB48)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6423, 369, 6408])).
% 39.14/25.58 tff(6425,plain,
% 39.14/25.58 (v102(constB48)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6424, 6420])).
% 39.14/25.58 tff(6426,plain,
% 39.14/25.58 (v1(constB48) <=> v1(constB48)),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6427,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 39.14/25.58 tff(6428,plain,
% 39.14/25.58 (v1(constB48)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 39.14/25.58 tff(6429,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6430,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6431,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6430, 6429])).
% 39.14/25.58 tff(6432,plain,
% 39.14/25.58 (v101(constB48) | (~v102(constB48))),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6431, 387, 6408, 6428])).
% 39.14/25.58 tff(6433,plain,
% 39.14/25.58 (v101(constB48)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6432, 6425])).
% 39.14/25.58 tff(6434,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6435,plain,
% 39.14/25.58 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6436,plain,
% 39.14/25.58 (((~![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))))),
% 39.14/25.58 inference(monotonicity,[status(thm)],[6435])).
% 39.14/25.58 tff(6437,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(transitivity,[status(thm)],[6436, 6434])).
% 39.14/25.58 tff(6438,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6439,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6438, 6437])).
% 39.14/25.58 tff(6440,plain,
% 39.14/25.58 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6439, 402, 6408])).
% 39.14/25.58 tff(6441,plain,
% 39.14/25.58 (v100(constB48) | (~v110(constB48))),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6440, 6433])).
% 39.14/25.58 tff(6442,plain,
% 39.14/25.58 (v100(constB48)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6441, 6416])).
% 39.14/25.58 tff(6443,plain,
% 39.14/25.58 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB47)) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB47)) | v130(constB47, bitIndex2))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6444,plain,
% 39.14/25.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB47)) | v130(constB47, bitIndex2))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6445,plain,
% 39.14/25.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB47)) | v130(constB47, bitIndex2)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 39.14/25.58 tff(6446,plain,
% 39.14/25.58 (v130(constB47, bitIndex2)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6445, 2303, 6377])).
% 39.14/25.58 tff(6447,assumption,(v26(constB47)), introduced(assumption)).
% 39.14/25.58 tff(6448,plain,
% 39.14/25.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6449,plain,
% 39.14/25.58 ($false),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6448, 86, 6447])).
% 39.14/25.58 tff(6450,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.58 tff(6451,plain,
% 39.14/25.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6452,plain,
% 39.14/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6453,plain,
% 39.14/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 39.14/25.58 tff(6454,plain,
% 39.14/25.58 ((~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6453, 1821, 6450])).
% 39.14/25.58 tff(6455,plain,
% 39.14/25.58 (v127(constB47, bitIndex2)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6454, 6446])).
% 39.14/25.58 tff(6456,plain,
% 39.14/25.58 (((~![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))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6457,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6458,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6457, 6456])).
% 39.14/25.58 tff(6459,plain,
% 39.14/25.58 ((~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6458, 1836, 6408])).
% 39.14/25.58 tff(6460,plain,
% 39.14/25.58 (v129(constB48, bitIndex2)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6459, 6455])).
% 39.14/25.58 tff(6461,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6462,plain,
% 39.14/25.58 ((v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2))) <=> (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6463,plain,
% 39.14/25.58 (((~![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))))),
% 39.14/25.58 inference(monotonicity,[status(thm)],[6462])).
% 39.14/25.58 tff(6464,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(transitivity,[status(thm)],[6463, 6461])).
% 39.14/25.58 tff(6465,plain,
% 39.14/25.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6466,plain,
% 39.14/25.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6465, 6464])).
% 39.14/25.58 tff(6467,plain,
% 39.14/25.58 (v90(constB48, bitIndex2) | (~v100(constB48))),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6466, 2100, 6460])).
% 39.14/25.58 tff(6468,plain,
% 39.14/25.58 (v90(constB48, bitIndex2)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6467, 6442])).
% 39.14/25.58 tff(6469,plain,
% 39.14/25.58 ((~v1(constB49)) <=> (~v1(constB49))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6470,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 39.14/25.58 tff(6471,plain,
% 39.14/25.58 (~v1(constB49)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6470, 6469])).
% 39.14/25.58 tff(6472,plain,
% 39.14/25.58 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6473,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 39.14/25.58 tff(6474,plain,
% 39.14/25.58 (nextState(constB48, constB49)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6473, 6472])).
% 39.14/25.58 tff(6475,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6476,plain,
% 39.14/25.58 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6477,plain,
% 39.14/25.58 (((~![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))))),
% 39.14/25.58 inference(monotonicity,[status(thm)],[6476])).
% 39.14/25.58 tff(6478,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(transitivity,[status(thm)],[6477, 6475])).
% 39.14/25.58 tff(6479,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6480,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6479, 6478])).
% 39.14/25.58 tff(6481,plain,
% 39.14/25.58 (~v101(constB49)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6480, 133, 6474, 6471])).
% 39.14/25.58 tff(6482,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6483,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6484,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 39.14/25.58 tff(6485,plain,
% 39.14/25.58 (v101(constB49) | (~v100(constB49))),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6484, 150, 6474])).
% 39.14/25.58 tff(6486,plain,
% 39.14/25.58 (~v100(constB49)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6485, 6481])).
% 39.14/25.58 tff(6487,plain,
% 39.14/25.58 (((~![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))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6488,plain,
% 39.14/25.58 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2)) <=> ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6489,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(monotonicity,[status(thm)],[6488])).
% 39.14/25.58 tff(6490,plain,
% 39.14/25.58 (((~![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))),
% 39.14/25.58 inference(transitivity,[status(thm)],[6489, 6487])).
% 39.14/25.58 tff(6491,plain,
% 39.14/25.58 ((~![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))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6492,plain,
% 39.14/25.58 ((~![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)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6491, 6490])).
% 39.14/25.58 tff(6493,plain,
% 39.14/25.58 ((~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6492, 2118, 6474])).
% 39.14/25.58 tff(6494,plain,
% 39.14/25.58 ((~v90(constB48, bitIndex2)) | v90(constB49, bitIndex2)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6493, 6486])).
% 39.14/25.58 tff(6495,plain,
% 39.14/25.58 (v90(constB49, bitIndex2)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6494, 6468])).
% 39.14/25.58 tff(6496,plain,
% 39.14/25.58 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6497,plain,
% 39.14/25.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6498,plain,
% 39.14/25.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 39.14/25.58 tff(6499,plain,
% 39.14/25.58 (v130(constB47, bitIndex1)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6498, 2347, 6377])).
% 39.14/25.58 tff(6500,plain,
% 39.14/25.58 (((~![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))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6501,plain,
% 39.14/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6502,plain,
% 39.14/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6501, 6500])).
% 39.14/25.58 tff(6503,plain,
% 39.14/25.58 ((~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6502, 882, 6450])).
% 39.14/25.58 tff(6504,plain,
% 39.14/25.58 (v127(constB47, bitIndex1)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6503, 6499])).
% 39.14/25.58 tff(6505,plain,
% 39.14/25.58 (((~![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))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6506,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6507,plain,
% 39.14/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6506, 6505])).
% 39.14/25.58 tff(6508,plain,
% 39.14/25.58 ((~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6507, 897, 6408])).
% 39.14/25.58 tff(6509,plain,
% 39.14/25.58 (v129(constB48, bitIndex1)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6508, 6504])).
% 39.14/25.58 tff(6510,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6511,plain,
% 39.14/25.58 ((v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6512,plain,
% 39.14/25.58 (((~![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))))),
% 39.14/25.58 inference(monotonicity,[status(thm)],[6511])).
% 39.14/25.58 tff(6513,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.58 inference(transitivity,[status(thm)],[6512, 6510])).
% 39.14/25.58 tff(6514,plain,
% 39.14/25.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))),
% 39.14/25.58 inference(quant_inst,[status(thm)],[])).
% 39.14/25.58 tff(6515,plain,
% 39.14/25.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))),
% 39.14/25.58 inference(modus_ponens,[status(thm)],[6514, 6513])).
% 39.14/25.58 tff(6516,plain,
% 39.14/25.58 (v90(constB48, bitIndex1) | (~v100(constB48))),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6515, 912, 6509])).
% 39.14/25.58 tff(6517,plain,
% 39.14/25.58 (v90(constB48, bitIndex1)),
% 39.14/25.58 inference(unit_resolution,[status(thm)],[6516, 6442])).
% 39.14/25.58 tff(6518,plain,
% 39.14/25.58 (((~![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))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6519,plain,
% 39.14/25.58 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 39.14/25.58 inference(rewrite,[status(thm)],[])).
% 39.14/25.58 tff(6520,plain,
% 39.14/25.58 (((~![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)))),
% 39.14/25.59 inference(monotonicity,[status(thm)],[6519])).
% 39.14/25.59 tff(6521,plain,
% 39.14/25.59 (((~![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))),
% 39.14/25.59 inference(transitivity,[status(thm)],[6520, 6518])).
% 39.14/25.59 tff(6522,plain,
% 39.14/25.59 ((~![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))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6523,plain,
% 39.14/25.59 ((~![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)),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6522, 6521])).
% 39.14/25.59 tff(6524,plain,
% 39.14/25.59 ((~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6523, 1049, 6474])).
% 39.14/25.59 tff(6525,plain,
% 39.14/25.59 ((~v90(constB48, bitIndex1)) | v90(constB49, bitIndex1)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6524, 6486])).
% 39.14/25.59 tff(6526,plain,
% 39.14/25.59 (v90(constB49, bitIndex1)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6525, 6517])).
% 39.14/25.59 tff(6527,plain,
% 39.14/25.59 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB47)) | (~v130(constB47, bitIndex0)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6528,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex0)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6529,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB47)) | (~v130(constB47, bitIndex0))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 39.14/25.59 tff(6530,plain,
% 39.14/25.59 (~v130(constB47, bitIndex0)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6529, 1519, 6377])).
% 39.14/25.59 tff(6531,plain,
% 39.14/25.59 (((~![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))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6532,plain,
% 39.14/25.59 ((v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0))) <=> ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6533,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(monotonicity,[status(thm)],[6532])).
% 39.14/25.59 tff(6534,plain,
% 39.14/25.59 (((~![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))),
% 39.14/25.59 inference(transitivity,[status(thm)],[6533, 6531])).
% 39.14/25.59 tff(6535,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6536,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6535, 6534])).
% 39.14/25.59 tff(6537,plain,
% 39.14/25.59 ((~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6536, 944, 6450])).
% 39.14/25.59 tff(6538,plain,
% 39.14/25.59 (~v127(constB47, bitIndex0)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6537, 6530])).
% 39.14/25.59 tff(6539,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6540,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6541,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6540, 6539])).
% 39.14/25.59 tff(6542,plain,
% 39.14/25.59 (v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6541, 962, 6408])).
% 39.14/25.59 tff(6543,plain,
% 39.14/25.59 (~v129(constB48, bitIndex0)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6542, 6538])).
% 39.14/25.59 tff(6544,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6545,plain,
% 39.14/25.59 (((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0)) <=> ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6546,plain,
% 39.14/25.59 (((~![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))))),
% 39.14/25.59 inference(monotonicity,[status(thm)],[6545])).
% 39.14/25.59 tff(6547,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(transitivity,[status(thm)],[6546, 6544])).
% 39.14/25.59 tff(6548,plain,
% 39.14/25.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6549,plain,
% 39.14/25.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6548, 6547])).
% 39.14/25.59 tff(6550,plain,
% 39.14/25.59 ((~v90(constB48, bitIndex0)) | (~v100(constB48))),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6549, 977, 6543])).
% 39.14/25.59 tff(6551,plain,
% 39.14/25.59 (~v90(constB48, bitIndex0)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6550, 6442])).
% 39.14/25.59 tff(6552,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6553,plain,
% 39.14/25.59 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))) <=> (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6554,plain,
% 39.14/25.59 (((~![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))))),
% 39.14/25.59 inference(monotonicity,[status(thm)],[6553])).
% 39.14/25.59 tff(6555,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(transitivity,[status(thm)],[6554, 6552])).
% 39.14/25.59 tff(6556,plain,
% 39.14/25.59 ((~![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)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6557,plain,
% 39.14/25.59 ((~![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))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6556, 6555])).
% 39.14/25.59 tff(6558,plain,
% 39.14/25.59 (v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6557, 207, 6474])).
% 39.14/25.59 tff(6559,plain,
% 39.14/25.59 (v90(constB48, bitIndex0) | (~v90(constB49, bitIndex0))),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6558, 6486])).
% 39.14/25.59 tff(6560,plain,
% 39.14/25.59 (~v90(constB49, bitIndex0)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6559, 6551])).
% 39.14/25.59 tff(6561,plain,
% 39.14/25.59 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6562,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6563,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49)),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 39.14/25.59 tff(6564,plain,
% 39.14/25.59 (v125(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6563, 1308, 6560, 6526, 6495])).
% 39.14/25.59 tff(6565,plain,
% 39.14/25.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB49) | (~v125(constB49)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB49) | (~v125(constB49)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6566,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB49) | (~v125(constB49)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6567,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB49) | (~v125(constB49))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6566, 6565])).
% 39.14/25.59 tff(6568,plain,
% 39.14/25.59 (v113(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6567, 1294, 6564])).
% 39.14/25.59 tff(6569,assumption,(v26(constB49)), introduced(assumption)).
% 39.14/25.59 tff(6570,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6571,plain,
% 39.14/25.59 ($false),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6570, 86, 6569])).
% 39.14/25.59 tff(6572,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.59 tff(6573,plain,
% 39.14/25.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6574,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6575,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | (~v113(constB49)) | v112(constB49)),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 39.14/25.59 tff(6576,plain,
% 39.14/25.59 ((~v113(constB49)) | v112(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6575, 308, 6572])).
% 39.14/25.59 tff(6577,plain,
% 39.14/25.59 (v112(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6576, 6568])).
% 39.14/25.59 tff(6578,plain,
% 39.14/25.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6579,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6580,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 39.14/25.59 tff(6581,plain,
% 39.14/25.59 (v108(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6580, 320, 6577])).
% 39.14/25.59 tff(6582,plain,
% 39.14/25.59 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6583,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 39.14/25.59 tff(6584,plain,
% 39.14/25.59 (nextState(constB49, constB50)),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6583, 6582])).
% 39.14/25.59 tff(6585,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6586,plain,
% 39.14/25.59 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6587,plain,
% 39.14/25.59 (((~![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))))),
% 39.14/25.59 inference(monotonicity,[status(thm)],[6586])).
% 39.14/25.59 tff(6588,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(transitivity,[status(thm)],[6587, 6585])).
% 39.14/25.59 tff(6589,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6590,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6589, 6588])).
% 39.14/25.59 tff(6591,plain,
% 39.14/25.59 (v110(constB50) | (~v108(constB49))),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6590, 337, 6584])).
% 39.14/25.59 tff(6592,plain,
% 39.14/25.59 (v110(constB50)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6591, 6581])).
% 39.14/25.59 tff(6593,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6594,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6595,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 39.14/25.59 tff(6596,plain,
% 39.14/25.59 (~v104(constB50)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6595, 355, 6584, 6471])).
% 39.14/25.59 tff(6597,plain,
% 39.14/25.59 (((~![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))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6598,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6599,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6598, 6597])).
% 39.14/25.59 tff(6600,plain,
% 39.14/25.59 (v102(constB50) | v104(constB50)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6599, 369, 6584])).
% 39.14/25.59 tff(6601,plain,
% 39.14/25.59 (v102(constB50)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6600, 6596])).
% 39.14/25.59 tff(6602,plain,
% 39.14/25.59 (v1(constB50) <=> v1(constB50)),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6603,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 39.14/25.59 tff(6604,plain,
% 39.14/25.59 (v1(constB50)),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 39.14/25.59 tff(6605,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6606,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6607,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 39.14/25.59 tff(6608,plain,
% 39.14/25.59 (v101(constB50) | (~v102(constB50))),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6607, 387, 6584, 6604])).
% 39.14/25.59 tff(6609,plain,
% 39.14/25.59 (v101(constB50)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6608, 6601])).
% 39.14/25.59 tff(6610,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6611,plain,
% 39.14/25.59 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6612,plain,
% 39.14/25.59 (((~![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))))),
% 39.14/25.59 inference(monotonicity,[status(thm)],[6611])).
% 39.14/25.59 tff(6613,plain,
% 39.14/25.59 (((~![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)))),
% 39.14/25.59 inference(transitivity,[status(thm)],[6612, 6610])).
% 39.14/25.59 tff(6614,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6615,plain,
% 39.14/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6614, 6613])).
% 39.14/25.59 tff(6616,plain,
% 39.14/25.59 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6615, 402, 6584])).
% 39.14/25.59 tff(6617,plain,
% 39.14/25.59 (v100(constB50) | (~v110(constB50))),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6616, 6609])).
% 39.14/25.59 tff(6618,plain,
% 39.14/25.59 (v100(constB50)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6617, 6592])).
% 39.14/25.59 tff(6619,plain,
% 39.14/25.59 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB49)) | (~v90(constB49, bitIndex1)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6620,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex1)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6621,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB49)) | (~v90(constB49, bitIndex1))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6620, 6619])).
% 39.14/25.59 tff(6622,plain,
% 39.14/25.59 (~v119(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6621, 2604, 6526])).
% 39.14/25.59 tff(6623,plain,
% 39.14/25.59 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v121(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v121(constB49)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6624,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v121(constB49)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6625,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v121(constB49))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6624, 6623])).
% 39.14/25.59 tff(6626,plain,
% 39.14/25.59 (~v121(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6625, 2586, 6495])).
% 39.14/25.59 tff(6627,plain,
% 39.14/25.59 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v123(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v123(constB49)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6628,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v123(constB49)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6629,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v123(constB49))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6628, 6627])).
% 39.14/25.59 tff(6630,plain,
% 39.14/25.59 (~v123(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6629, 2626, 6526])).
% 39.14/25.59 tff(6631,plain,
% 39.14/25.59 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v122(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v122(constB49)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6632,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v122(constB49)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6633,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v122(constB49))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6632, 6631])).
% 39.14/25.59 tff(6634,plain,
% 39.14/25.59 (~v122(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6633, 3526, 6495])).
% 39.14/25.59 tff(6635,plain,
% 39.14/25.59 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v124(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v124(constB49)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6636,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v124(constB49)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6637,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v124(constB49))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6636, 6635])).
% 39.14/25.59 tff(6638,plain,
% 39.14/25.59 (~v124(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6637, 2637, 6526])).
% 39.14/25.59 tff(6639,plain,
% 39.14/25.59 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v120(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v120(constB49)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6640,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v120(constB49)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6641,plain,
% 39.14/25.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v120(constB49))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6640, 6639])).
% 39.14/25.59 tff(6642,plain,
% 39.14/25.59 (~v120(constB49)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6641, 2615, 6526])).
% 39.14/25.59 tff(6643,plain,
% 39.14/25.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6644,plain,
% 39.14/25.59 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2))) <=> (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2)))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6645,plain,
% 39.14/25.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2))))),
% 39.14/25.59 inference(monotonicity,[status(thm)],[6644])).
% 39.14/25.59 tff(6646,plain,
% 39.14/25.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2)))),
% 39.14/25.59 inference(transitivity,[status(thm)],[6645, 6643])).
% 39.14/25.59 tff(6647,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))),
% 39.14/25.59 inference(quant_inst,[status(thm)],[])).
% 39.14/25.59 tff(6648,plain,
% 39.14/25.59 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex2))),
% 39.14/25.59 inference(modus_ponens,[status(thm)],[6647, 6646])).
% 39.14/25.59 tff(6649,plain,
% 39.14/25.59 (~v130(constB49, bitIndex2)),
% 39.14/25.59 inference(unit_resolution,[status(thm)],[6648, 1993, 6642, 6638, 6634, 6630, 6626, 6622])).
% 39.14/25.59 tff(6650,plain,
% 39.14/25.59 (((~![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))),
% 39.14/25.59 inference(rewrite,[status(thm)],[])).
% 39.14/25.59 tff(6651,plain,
% 39.14/25.60 ((v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2))) <=> ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6652,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(monotonicity,[status(thm)],[6651])).
% 39.14/25.60 tff(6653,plain,
% 39.14/25.60 (((~![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))),
% 39.14/25.60 inference(transitivity,[status(thm)],[6652, 6650])).
% 39.14/25.60 tff(6654,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6655,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6654, 6653])).
% 39.14/25.60 tff(6656,plain,
% 39.14/25.60 ((~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6655, 435, 6572])).
% 39.14/25.60 tff(6657,plain,
% 39.14/25.60 (~v127(constB49, bitIndex2)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6656, 6649])).
% 39.14/25.60 tff(6658,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6659,plain,
% 39.14/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6660,plain,
% 39.14/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6659, 6658])).
% 39.14/25.60 tff(6661,plain,
% 39.14/25.60 (v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6660, 453, 6584])).
% 39.14/25.60 tff(6662,plain,
% 39.14/25.60 (~v129(constB50, bitIndex2)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6661, 6657])).
% 39.14/25.60 tff(6663,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6664,plain,
% 39.14/25.60 (((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2)) <=> ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6665,plain,
% 39.14/25.60 (((~![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))))),
% 39.14/25.60 inference(monotonicity,[status(thm)],[6664])).
% 39.14/25.60 tff(6666,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(transitivity,[status(thm)],[6665, 6663])).
% 39.14/25.60 tff(6667,plain,
% 39.14/25.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6668,plain,
% 39.14/25.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6667, 6666])).
% 39.14/25.60 tff(6669,plain,
% 39.14/25.60 ((~v90(constB50, bitIndex2)) | (~v100(constB50))),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6668, 468, 6662])).
% 39.14/25.60 tff(6670,plain,
% 39.14/25.60 (~v90(constB50, bitIndex2)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6669, 6618])).
% 39.14/25.60 tff(6671,plain,
% 39.14/25.60 ((~v1(constB51)) <=> (~v1(constB51))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6672,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 39.14/25.60 tff(6673,plain,
% 39.14/25.60 (~v1(constB51)),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6672, 6671])).
% 39.14/25.60 tff(6674,plain,
% 39.14/25.60 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6675,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 39.14/25.60 tff(6676,plain,
% 39.14/25.60 (nextState(constB50, constB51)),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6675, 6674])).
% 39.14/25.60 tff(6677,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6678,plain,
% 39.14/25.60 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6679,plain,
% 39.14/25.60 (((~![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))))),
% 39.14/25.60 inference(monotonicity,[status(thm)],[6678])).
% 39.14/25.60 tff(6680,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(transitivity,[status(thm)],[6679, 6677])).
% 39.14/25.60 tff(6681,plain,
% 39.14/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6682,plain,
% 39.14/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6681, 6680])).
% 39.14/25.60 tff(6683,plain,
% 39.14/25.60 (~v101(constB51)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6682, 133, 6676, 6673])).
% 39.14/25.60 tff(6684,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6685,plain,
% 39.14/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6686,plain,
% 39.14/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 39.14/25.60 tff(6687,plain,
% 39.14/25.60 (v101(constB51) | (~v100(constB51))),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6686, 150, 6676])).
% 39.14/25.60 tff(6688,plain,
% 39.14/25.60 (~v100(constB51)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6687, 6683])).
% 39.14/25.60 tff(6689,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6690,plain,
% 39.14/25.60 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))) <=> (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6691,plain,
% 39.14/25.60 (((~![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))))),
% 39.14/25.60 inference(monotonicity,[status(thm)],[6690])).
% 39.14/25.60 tff(6692,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(transitivity,[status(thm)],[6691, 6689])).
% 39.14/25.60 tff(6693,plain,
% 39.14/25.60 ((~![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)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6694,plain,
% 39.14/25.60 ((~![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))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 39.14/25.60 tff(6695,plain,
% 39.14/25.60 (v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6694, 165, 6676])).
% 39.14/25.60 tff(6696,plain,
% 39.14/25.60 (v90(constB50, bitIndex2) | (~v90(constB51, bitIndex2))),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6695, 6688])).
% 39.14/25.60 tff(6697,plain,
% 39.14/25.60 (~v90(constB51, bitIndex2)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6696, 6670])).
% 39.14/25.60 tff(6698,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex1)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6699,plain,
% 39.14/25.60 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1))) <=> (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex1)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6700,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex1))))),
% 39.14/25.60 inference(monotonicity,[status(thm)],[6699])).
% 39.14/25.60 tff(6701,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex1)))),
% 39.14/25.60 inference(transitivity,[status(thm)],[6700, 6698])).
% 39.14/25.60 tff(6702,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6703,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~v130(constB49, bitIndex1))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6702, 6701])).
% 39.14/25.60 tff(6704,plain,
% 39.14/25.60 (~v130(constB49, bitIndex1)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6703, 1562, 6642, 6638, 6634, 6630, 6626, 6622])).
% 39.14/25.60 tff(6705,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6706,plain,
% 39.14/25.60 ((v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1))) <=> ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6707,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)))),
% 39.14/25.60 inference(monotonicity,[status(thm)],[6706])).
% 39.14/25.60 tff(6708,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 39.14/25.60 inference(transitivity,[status(thm)],[6707, 6705])).
% 39.14/25.60 tff(6709,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6710,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6709, 6708])).
% 39.14/25.60 tff(6711,plain,
% 39.14/25.60 ((~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6710, 527, 6572])).
% 39.14/25.60 tff(6712,plain,
% 39.14/25.60 (~v127(constB49, bitIndex1)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6711, 6704])).
% 39.14/25.60 tff(6713,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6714,plain,
% 39.14/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6715,plain,
% 39.14/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 39.14/25.60 tff(6716,plain,
% 39.14/25.60 (v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6715, 545, 6584])).
% 39.14/25.60 tff(6717,plain,
% 39.14/25.60 (~v129(constB50, bitIndex1)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6716, 6712])).
% 39.14/25.60 tff(6718,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6719,plain,
% 39.14/25.60 (((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6720,plain,
% 39.14/25.60 (((~![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))))),
% 39.14/25.60 inference(monotonicity,[status(thm)],[6719])).
% 39.14/25.60 tff(6721,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(transitivity,[status(thm)],[6720, 6718])).
% 39.14/25.60 tff(6722,plain,
% 39.14/25.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6723,plain,
% 39.14/25.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6722, 6721])).
% 39.14/25.60 tff(6724,plain,
% 39.14/25.60 ((~v90(constB50, bitIndex1)) | (~v100(constB50))),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6723, 560, 6717])).
% 39.14/25.60 tff(6725,plain,
% 39.14/25.60 (~v90(constB50, bitIndex1)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6724, 6618])).
% 39.14/25.60 tff(6726,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6727,plain,
% 39.14/25.60 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6728,plain,
% 39.14/25.60 (((~![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))))),
% 39.14/25.60 inference(monotonicity,[status(thm)],[6727])).
% 39.14/25.60 tff(6729,plain,
% 39.14/25.60 (((~![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)))),
% 39.14/25.60 inference(transitivity,[status(thm)],[6728, 6726])).
% 39.14/25.60 tff(6730,plain,
% 39.14/25.60 ((~![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)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6731,plain,
% 39.14/25.60 ((~![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))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6730, 6729])).
% 39.14/25.60 tff(6732,plain,
% 39.14/25.60 (v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6731, 186, 6676])).
% 39.14/25.60 tff(6733,plain,
% 39.14/25.60 (v90(constB50, bitIndex1) | (~v90(constB51, bitIndex1))),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6732, 6688])).
% 39.14/25.60 tff(6734,plain,
% 39.14/25.60 (~v90(constB51, bitIndex1)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6733, 6725])).
% 39.14/25.60 tff(6735,assumption,(~v130(constB49, bitIndex0)), introduced(assumption)).
% 39.14/25.60 tff(6736,plain,
% 39.14/25.60 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB49)) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB49)) | v130(constB49, bitIndex0))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6737,plain,
% 39.14/25.60 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB49)) | v130(constB49, bitIndex0))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6738,plain,
% 39.14/25.60 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB49)) | v130(constB49, bitIndex0)),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6737, 6736])).
% 39.14/25.60 tff(6739,plain,
% 39.14/25.60 (~v119(constB49)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6738, 587, 6735])).
% 39.14/25.60 tff(6740,assumption,(~v90(constB49, bitIndex0)), introduced(assumption)).
% 39.14/25.60 tff(6741,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB49, bitIndex0) | (~v120(constB49)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB49, bitIndex0) | (~v120(constB49)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6742,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB49, bitIndex0) | (~v120(constB49)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6743,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB49, bitIndex0) | (~v120(constB49))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6742, 6741])).
% 39.14/25.60 tff(6744,plain,
% 39.14/25.60 (~v120(constB49)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6743, 1957, 6740])).
% 39.14/25.60 tff(6745,plain,
% 39.14/25.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB49)) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB49)) | v130(constB49, bitIndex0))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6746,plain,
% 39.14/25.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB49)) | v130(constB49, bitIndex0))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6747,plain,
% 39.14/25.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB49)) | v130(constB49, bitIndex0)),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6746, 6745])).
% 39.14/25.60 tff(6748,plain,
% 39.14/25.60 (~v121(constB49)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6747, 1758, 6735])).
% 39.14/25.60 tff(6749,plain,
% 39.14/25.60 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB49)) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB49)) | v130(constB49, bitIndex0))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6750,plain,
% 39.14/25.60 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB49)) | v130(constB49, bitIndex0))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6751,plain,
% 39.14/25.60 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB49)) | v130(constB49, bitIndex0)),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6750, 6749])).
% 39.14/25.60 tff(6752,plain,
% 39.14/25.60 (~v123(constB49)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6751, 2258, 6735])).
% 39.14/25.60 tff(6753,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB49, bitIndex0) | (~v124(constB49)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB49, bitIndex0) | (~v124(constB49)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6754,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB49, bitIndex0) | (~v124(constB49)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6755,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB49, bitIndex0) | (~v124(constB49))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6754, 6753])).
% 39.14/25.60 tff(6756,plain,
% 39.14/25.60 (~v124(constB49)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6755, 1979, 6740])).
% 39.14/25.60 tff(6757,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB49, bitIndex0) | (~v122(constB49)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB49, bitIndex0) | (~v122(constB49)))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6758,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB49, bitIndex0) | (~v122(constB49)))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6759,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB49, bitIndex0) | (~v122(constB49))),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 39.14/25.60 tff(6760,plain,
% 39.14/25.60 (~v122(constB49)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6759, 1968, 6740])).
% 39.14/25.60 tff(6761,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB49, bitIndex0) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB49, bitIndex0) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6762,plain,
% 39.14/25.60 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0)) <=> (v130(constB49, bitIndex0) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))),
% 39.14/25.60 inference(rewrite,[status(thm)],[])).
% 39.14/25.60 tff(6763,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB49, bitIndex0) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49)))),
% 39.14/25.60 inference(monotonicity,[status(thm)],[6762])).
% 39.14/25.60 tff(6764,plain,
% 39.14/25.60 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB49, bitIndex0) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49))),
% 39.14/25.60 inference(transitivity,[status(thm)],[6763, 6761])).
% 39.14/25.60 tff(6765,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))),
% 39.14/25.60 inference(quant_inst,[status(thm)],[])).
% 39.14/25.60 tff(6766,plain,
% 39.14/25.60 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB49, bitIndex0) | v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49)),
% 39.14/25.60 inference(modus_ponens,[status(thm)],[6765, 6764])).
% 39.14/25.60 tff(6767,plain,
% 39.14/25.60 (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6766, 2753, 6735])).
% 39.14/25.60 tff(6768,plain,
% 39.14/25.60 ($false),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6767, 6760, 6756, 6752, 6748, 6744, 6739])).
% 39.14/25.60 tff(6769,plain,(v90(constB49, bitIndex0) | v130(constB49, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.60 tff(6770,plain,
% 39.14/25.60 (v130(constB49, bitIndex0)),
% 39.14/25.60 inference(unit_resolution,[status(thm)],[6769, 6560])).
% 39.14/25.60 tff(6771,plain,
% 39.14/25.60 (((~![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))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6772,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6773,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6772, 6771])).
% 39.14/25.61 tff(6774,plain,
% 39.14/25.61 ((~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6773, 601, 6572])).
% 39.14/25.61 tff(6775,plain,
% 39.14/25.61 (v127(constB49, bitIndex0)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6774, 6770])).
% 39.14/25.61 tff(6776,plain,
% 39.14/25.61 (((~![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))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6777,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6778,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6777, 6776])).
% 39.14/25.61 tff(6779,plain,
% 39.14/25.61 ((~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6778, 616, 6584])).
% 39.14/25.61 tff(6780,plain,
% 39.14/25.61 (v129(constB50, bitIndex0)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6779, 6775])).
% 39.14/25.61 tff(6781,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6782,plain,
% 39.14/25.61 ((v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6783,plain,
% 39.14/25.61 (((~![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))))),
% 39.14/25.61 inference(monotonicity,[status(thm)],[6782])).
% 39.14/25.61 tff(6784,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(transitivity,[status(thm)],[6783, 6781])).
% 39.14/25.61 tff(6785,plain,
% 39.14/25.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6786,plain,
% 39.14/25.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6785, 6784])).
% 39.14/25.61 tff(6787,plain,
% 39.14/25.61 (v90(constB50, bitIndex0) | (~v100(constB50))),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6786, 631, 6780])).
% 39.14/25.61 tff(6788,plain,
% 39.14/25.61 (v90(constB50, bitIndex0)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6787, 6618])).
% 39.14/25.61 tff(6789,plain,
% 39.14/25.61 (((~![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))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6790,plain,
% 39.14/25.61 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6791,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(monotonicity,[status(thm)],[6790])).
% 39.14/25.61 tff(6792,plain,
% 39.14/25.61 (((~![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))),
% 39.14/25.61 inference(transitivity,[status(thm)],[6791, 6789])).
% 39.14/25.61 tff(6793,plain,
% 39.14/25.61 ((~![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))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6794,plain,
% 39.14/25.61 ((~![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)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6793, 6792])).
% 39.14/25.61 tff(6795,plain,
% 39.14/25.61 ((~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6794, 649, 6676])).
% 39.14/25.61 tff(6796,plain,
% 39.14/25.61 ((~v90(constB50, bitIndex0)) | v90(constB51, bitIndex0)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6795, 6688])).
% 39.14/25.61 tff(6797,plain,
% 39.14/25.61 (v90(constB51, bitIndex0)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6796, 6788])).
% 39.14/25.61 tff(6798,plain,
% 39.14/25.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6799,plain,
% 39.14/25.61 (((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2)) <=> ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6800,plain,
% 39.14/25.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)))),
% 39.14/25.61 inference(monotonicity,[status(thm)],[6799])).
% 39.14/25.61 tff(6801,plain,
% 39.14/25.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 39.14/25.61 inference(transitivity,[status(thm)],[6800, 6798])).
% 39.14/25.61 tff(6802,plain,
% 39.14/25.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6803,plain,
% 39.14/25.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 39.14/25.61 tff(6804,plain,
% 39.14/25.61 (v120(constB51)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6803, 668, 6797, 6734, 6697])).
% 39.14/25.61 tff(6805,plain,
% 39.14/25.61 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB51) | (~v120(constB51)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB51) | (~v120(constB51)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6806,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB51) | (~v120(constB51)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6807,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB51) | (~v120(constB51))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 39.14/25.61 tff(6808,plain,
% 39.14/25.61 (v118(constB51)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6807, 778, 6804])).
% 39.14/25.61 tff(6809,plain,
% 39.14/25.61 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB51) | (~v118(constB51)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB51) | (~v118(constB51)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6810,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB51) | (~v118(constB51)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6811,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB51) | (~v118(constB51))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6810, 6809])).
% 39.14/25.61 tff(6812,plain,
% 39.14/25.61 (v117(constB51)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6811, 250, 6808])).
% 39.14/25.61 tff(6813,plain,
% 39.14/25.61 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB51) | (~v117(constB51)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB51) | (~v117(constB51)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6814,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB51) | (~v117(constB51)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6815,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB51) | (~v117(constB51))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 39.14/25.61 tff(6816,plain,
% 39.14/25.61 (v116(constB51)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6815, 261, 6812])).
% 39.14/25.61 tff(6817,plain,
% 39.14/25.61 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6818,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6819,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 39.14/25.61 tff(6820,plain,
% 39.14/25.61 (v115(constB51)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6819, 272, 6816])).
% 39.14/25.61 tff(6821,plain,
% 39.14/25.61 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6822,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6823,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 39.14/25.61 tff(6824,plain,
% 39.14/25.61 (v114(constB51)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6823, 283, 6820])).
% 39.14/25.61 tff(6825,plain,
% 39.14/25.61 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6826,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6827,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 39.14/25.61 tff(6828,plain,
% 39.14/25.61 (v113(constB51)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6827, 294, 6824])).
% 39.14/25.61 tff(6829,assumption,(v26(constB51)), introduced(assumption)).
% 39.14/25.61 tff(6830,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6831,plain,
% 39.14/25.61 ($false),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6830, 86, 6829])).
% 39.14/25.61 tff(6832,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.61 tff(6833,plain,
% 39.14/25.61 (((~![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))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6834,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6835,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 39.14/25.61 tff(6836,plain,
% 39.14/25.61 ((~v113(constB51)) | v112(constB51)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6835, 308, 6832])).
% 39.14/25.61 tff(6837,plain,
% 39.14/25.61 (v112(constB51)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6836, 6828])).
% 39.14/25.61 tff(6838,plain,
% 39.14/25.61 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6839,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6840,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6839, 6838])).
% 39.14/25.61 tff(6841,plain,
% 39.14/25.61 (v108(constB51)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6840, 320, 6837])).
% 39.14/25.61 tff(6842,plain,
% 39.14/25.61 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6843,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 39.14/25.61 tff(6844,plain,
% 39.14/25.61 (nextState(constB51, constB52)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6843, 6842])).
% 39.14/25.61 tff(6845,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6846,plain,
% 39.14/25.61 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6847,plain,
% 39.14/25.61 (((~![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))))),
% 39.14/25.61 inference(monotonicity,[status(thm)],[6846])).
% 39.14/25.61 tff(6848,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(transitivity,[status(thm)],[6847, 6845])).
% 39.14/25.61 tff(6849,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6850,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6849, 6848])).
% 39.14/25.61 tff(6851,plain,
% 39.14/25.61 (v110(constB52) | (~v108(constB51))),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6850, 337, 6844])).
% 39.14/25.61 tff(6852,plain,
% 39.14/25.61 (v110(constB52)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6851, 6841])).
% 39.14/25.61 tff(6853,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6854,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6855,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6854, 6853])).
% 39.14/25.61 tff(6856,plain,
% 39.14/25.61 (~v104(constB52)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6855, 355, 6844, 6673])).
% 39.14/25.61 tff(6857,plain,
% 39.14/25.61 (((~![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))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6858,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6859,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6858, 6857])).
% 39.14/25.61 tff(6860,plain,
% 39.14/25.61 (v102(constB52) | v104(constB52)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6859, 369, 6844])).
% 39.14/25.61 tff(6861,plain,
% 39.14/25.61 (v102(constB52)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6860, 6856])).
% 39.14/25.61 tff(6862,plain,
% 39.14/25.61 (v1(constB52) <=> v1(constB52)),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6863,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 39.14/25.61 tff(6864,plain,
% 39.14/25.61 (v1(constB52)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6863, 6862])).
% 39.14/25.61 tff(6865,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6866,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6867,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6866, 6865])).
% 39.14/25.61 tff(6868,plain,
% 39.14/25.61 (v101(constB52) | (~v102(constB52))),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6867, 387, 6844, 6864])).
% 39.14/25.61 tff(6869,plain,
% 39.14/25.61 (v101(constB52)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6868, 6861])).
% 39.14/25.61 tff(6870,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6871,plain,
% 39.14/25.61 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6872,plain,
% 39.14/25.61 (((~![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))))),
% 39.14/25.61 inference(monotonicity,[status(thm)],[6871])).
% 39.14/25.61 tff(6873,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(transitivity,[status(thm)],[6872, 6870])).
% 39.14/25.61 tff(6874,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6875,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6874, 6873])).
% 39.14/25.61 tff(6876,plain,
% 39.14/25.61 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6875, 402, 6844])).
% 39.14/25.61 tff(6877,plain,
% 39.14/25.61 (v100(constB52) | (~v110(constB52))),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6876, 6869])).
% 39.14/25.61 tff(6878,plain,
% 39.14/25.61 (v100(constB52)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6877, 6852])).
% 39.14/25.61 tff(6879,plain,
% 39.14/25.61 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB51)) | (~v130(constB51, bitIndex2)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6880,plain,
% 39.14/25.61 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex2)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6881,plain,
% 39.14/25.61 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB51)) | (~v130(constB51, bitIndex2))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6880, 6879])).
% 39.14/25.61 tff(6882,plain,
% 39.14/25.61 (~v130(constB51, bitIndex2)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6881, 685, 6804])).
% 39.14/25.61 tff(6883,plain,
% 39.14/25.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6884,plain,
% 39.14/25.61 ((v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2))) <=> ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6885,plain,
% 39.14/25.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)))),
% 39.14/25.61 inference(monotonicity,[status(thm)],[6884])).
% 39.14/25.61 tff(6886,plain,
% 39.14/25.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 39.14/25.61 inference(transitivity,[status(thm)],[6885, 6883])).
% 39.14/25.61 tff(6887,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6888,plain,
% 39.14/25.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6887, 6886])).
% 39.14/25.61 tff(6889,plain,
% 39.14/25.61 ((~v127(constB51, bitIndex2)) | v130(constB51, bitIndex2)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6888, 435, 6832])).
% 39.14/25.61 tff(6890,plain,
% 39.14/25.61 (~v127(constB51, bitIndex2)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6889, 6882])).
% 39.14/25.61 tff(6891,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6892,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6893,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6892, 6891])).
% 39.14/25.61 tff(6894,plain,
% 39.14/25.61 (v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6893, 453, 6844])).
% 39.14/25.61 tff(6895,plain,
% 39.14/25.61 (~v129(constB52, bitIndex2)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6894, 6890])).
% 39.14/25.61 tff(6896,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6897,plain,
% 39.14/25.61 (((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2)) <=> ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6898,plain,
% 39.14/25.61 (((~![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))))),
% 39.14/25.61 inference(monotonicity,[status(thm)],[6897])).
% 39.14/25.61 tff(6899,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(transitivity,[status(thm)],[6898, 6896])).
% 39.14/25.61 tff(6900,plain,
% 39.14/25.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6901,plain,
% 39.14/25.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6900, 6899])).
% 39.14/25.61 tff(6902,plain,
% 39.14/25.61 ((~v90(constB52, bitIndex2)) | (~v100(constB52))),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6901, 468, 6895])).
% 39.14/25.61 tff(6903,plain,
% 39.14/25.61 (~v90(constB52, bitIndex2)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6902, 6878])).
% 39.14/25.61 tff(6904,plain,
% 39.14/25.61 ((~v1(constB53)) <=> (~v1(constB53))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6905,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 39.14/25.61 tff(6906,plain,
% 39.14/25.61 (~v1(constB53)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 39.14/25.61 tff(6907,plain,
% 39.14/25.61 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6908,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 39.14/25.61 tff(6909,plain,
% 39.14/25.61 (nextState(constB52, constB53)),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6908, 6907])).
% 39.14/25.61 tff(6910,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6911,plain,
% 39.14/25.61 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6912,plain,
% 39.14/25.61 (((~![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))))),
% 39.14/25.61 inference(monotonicity,[status(thm)],[6911])).
% 39.14/25.61 tff(6913,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(transitivity,[status(thm)],[6912, 6910])).
% 39.14/25.61 tff(6914,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6915,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6914, 6913])).
% 39.14/25.61 tff(6916,plain,
% 39.14/25.61 (~v101(constB53)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6915, 133, 6909, 6906])).
% 39.14/25.61 tff(6917,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6918,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 39.14/25.61 inference(quant_inst,[status(thm)],[])).
% 39.14/25.61 tff(6919,plain,
% 39.14/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 39.14/25.61 inference(modus_ponens,[status(thm)],[6918, 6917])).
% 39.14/25.61 tff(6920,plain,
% 39.14/25.61 (v101(constB53) | (~v100(constB53))),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6919, 150, 6909])).
% 39.14/25.61 tff(6921,plain,
% 39.14/25.61 (~v100(constB53)),
% 39.14/25.61 inference(unit_resolution,[status(thm)],[6920, 6916])).
% 39.14/25.61 tff(6922,plain,
% 39.14/25.61 (((~![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)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6923,plain,
% 39.14/25.61 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 39.14/25.61 inference(rewrite,[status(thm)],[])).
% 39.14/25.61 tff(6924,plain,
% 39.14/25.61 (((~![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))))),
% 39.14/25.62 inference(monotonicity,[status(thm)],[6923])).
% 39.14/25.62 tff(6925,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(transitivity,[status(thm)],[6924, 6922])).
% 39.14/25.62 tff(6926,plain,
% 39.14/25.62 ((~![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)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6927,plain,
% 39.14/25.62 ((~![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))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6926, 6925])).
% 39.14/25.62 tff(6928,plain,
% 39.14/25.62 (v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6927, 165, 6909])).
% 39.14/25.62 tff(6929,plain,
% 39.14/25.62 (v90(constB52, bitIndex2) | (~v90(constB53, bitIndex2))),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6928, 6921])).
% 39.14/25.62 tff(6930,plain,
% 39.14/25.62 (~v90(constB53, bitIndex2)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6929, 6903])).
% 39.14/25.62 tff(6931,plain,
% 39.14/25.62 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB51)) | v130(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB51)) | v130(constB51, bitIndex1))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6932,plain,
% 39.14/25.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB51)) | v130(constB51, bitIndex1))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6933,plain,
% 39.14/25.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB51)) | v130(constB51, bitIndex1)),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6932, 6931])).
% 39.14/25.62 tff(6934,plain,
% 39.14/25.62 (v130(constB51, bitIndex1)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6933, 868, 6804])).
% 39.14/25.62 tff(6935,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6936,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6937,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1)),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 39.14/25.62 tff(6938,plain,
% 39.14/25.62 ((~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6937, 882, 6832])).
% 39.14/25.62 tff(6939,plain,
% 39.14/25.62 (v127(constB51, bitIndex1)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6938, 6934])).
% 39.14/25.62 tff(6940,plain,
% 39.14/25.62 (((~![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))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6941,plain,
% 39.14/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6942,plain,
% 39.14/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1)),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 39.14/25.62 tff(6943,plain,
% 39.14/25.62 ((~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6942, 897, 6844])).
% 39.14/25.62 tff(6944,plain,
% 39.14/25.62 (v129(constB52, bitIndex1)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6943, 6939])).
% 39.14/25.62 tff(6945,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6946,plain,
% 39.14/25.62 ((v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1))) <=> (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6947,plain,
% 39.14/25.62 (((~![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))))),
% 39.14/25.62 inference(monotonicity,[status(thm)],[6946])).
% 39.14/25.62 tff(6948,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(transitivity,[status(thm)],[6947, 6945])).
% 39.14/25.62 tff(6949,plain,
% 39.14/25.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6950,plain,
% 39.14/25.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 39.14/25.62 tff(6951,plain,
% 39.14/25.62 (v90(constB52, bitIndex1) | (~v100(constB52))),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6950, 912, 6944])).
% 39.14/25.62 tff(6952,plain,
% 39.14/25.62 (v90(constB52, bitIndex1)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6951, 6878])).
% 39.14/25.62 tff(6953,plain,
% 39.14/25.62 (((~![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))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6954,plain,
% 39.14/25.62 (((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1)) <=> ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6955,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(monotonicity,[status(thm)],[6954])).
% 39.14/25.62 tff(6956,plain,
% 39.14/25.62 (((~![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))),
% 39.14/25.62 inference(transitivity,[status(thm)],[6955, 6953])).
% 39.14/25.62 tff(6957,plain,
% 39.14/25.62 ((~![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))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6958,plain,
% 39.14/25.62 ((~![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)),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6957, 6956])).
% 39.14/25.62 tff(6959,plain,
% 39.14/25.62 ((~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6958, 1049, 6909])).
% 39.14/25.62 tff(6960,plain,
% 39.14/25.62 ((~v90(constB52, bitIndex1)) | v90(constB53, bitIndex1)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6959, 6921])).
% 39.14/25.62 tff(6961,plain,
% 39.14/25.62 (v90(constB53, bitIndex1)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6960, 6952])).
% 39.14/25.62 tff(6962,plain,
% 39.14/25.62 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6963,plain,
% 39.14/25.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6964,plain,
% 39.14/25.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 39.14/25.62 tff(6965,plain,
% 39.14/25.62 (~v130(constB51, bitIndex0)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6964, 930, 6804])).
% 39.14/25.62 tff(6966,plain,
% 39.14/25.62 (((~![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))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6967,plain,
% 39.14/25.62 ((v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0))) <=> ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6968,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(monotonicity,[status(thm)],[6967])).
% 39.14/25.62 tff(6969,plain,
% 39.14/25.62 (((~![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))),
% 39.14/25.62 inference(transitivity,[status(thm)],[6968, 6966])).
% 39.14/25.62 tff(6970,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6971,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 39.14/25.62 tff(6972,plain,
% 39.14/25.62 ((~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6971, 944, 6832])).
% 39.14/25.62 tff(6973,plain,
% 39.14/25.62 (~v127(constB51, bitIndex0)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6972, 6965])).
% 39.14/25.62 tff(6974,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6975,plain,
% 39.14/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6976,plain,
% 39.14/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6975, 6974])).
% 39.14/25.62 tff(6977,plain,
% 39.14/25.62 (v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6976, 962, 6844])).
% 39.14/25.62 tff(6978,plain,
% 39.14/25.62 (~v129(constB52, bitIndex0)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6977, 6973])).
% 39.14/25.62 tff(6979,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6980,plain,
% 39.14/25.62 (((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0)) <=> ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6981,plain,
% 39.14/25.62 (((~![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))))),
% 39.14/25.62 inference(monotonicity,[status(thm)],[6980])).
% 39.14/25.62 tff(6982,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(transitivity,[status(thm)],[6981, 6979])).
% 39.14/25.62 tff(6983,plain,
% 39.14/25.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6984,plain,
% 39.14/25.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6983, 6982])).
% 39.14/25.62 tff(6985,plain,
% 39.14/25.62 ((~v90(constB52, bitIndex0)) | (~v100(constB52))),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6984, 977, 6978])).
% 39.14/25.62 tff(6986,plain,
% 39.14/25.62 (~v90(constB52, bitIndex0)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6985, 6878])).
% 39.14/25.62 tff(6987,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6988,plain,
% 39.14/25.62 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))) <=> (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6989,plain,
% 39.14/25.62 (((~![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))))),
% 39.14/25.62 inference(monotonicity,[status(thm)],[6988])).
% 39.14/25.62 tff(6990,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(transitivity,[status(thm)],[6989, 6987])).
% 39.14/25.62 tff(6991,plain,
% 39.14/25.62 ((~![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)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6992,plain,
% 39.14/25.62 ((~![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))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 39.14/25.62 tff(6993,plain,
% 39.14/25.62 (v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6992, 207, 6909])).
% 39.14/25.62 tff(6994,plain,
% 39.14/25.62 (v90(constB52, bitIndex0) | (~v90(constB53, bitIndex0))),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6993, 6921])).
% 39.14/25.62 tff(6995,plain,
% 39.14/25.62 (~v90(constB53, bitIndex0)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6994, 6986])).
% 39.14/25.62 tff(6996,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(6997,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(6998,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53)),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[6997, 6996])).
% 39.14/25.62 tff(6999,plain,
% 39.14/25.62 (v121(constB53)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[6998, 996, 6995, 6961, 6930])).
% 39.14/25.62 tff(7000,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB53) | (~v121(constB53)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB53) | (~v121(constB53)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7001,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB53) | (~v121(constB53)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7002,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB53) | (~v121(constB53))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7001, 7000])).
% 39.14/25.62 tff(7003,plain,
% 39.14/25.62 (v117(constB53)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7002, 1130, 6999])).
% 39.14/25.62 tff(7004,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB53) | (~v117(constB53)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB53) | (~v117(constB53)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7005,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB53) | (~v117(constB53)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7006,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB53) | (~v117(constB53))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7005, 7004])).
% 39.14/25.62 tff(7007,plain,
% 39.14/25.62 (v116(constB53)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7006, 261, 7003])).
% 39.14/25.62 tff(7008,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB53) | (~v116(constB53)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB53) | (~v116(constB53)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7009,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB53) | (~v116(constB53)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7010,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB53) | (~v116(constB53))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 39.14/25.62 tff(7011,plain,
% 39.14/25.62 (v115(constB53)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7010, 272, 7007])).
% 39.14/25.62 tff(7012,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7013,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7014,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7013, 7012])).
% 39.14/25.62 tff(7015,plain,
% 39.14/25.62 (v114(constB53)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7014, 283, 7011])).
% 39.14/25.62 tff(7016,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7017,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7018,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7017, 7016])).
% 39.14/25.62 tff(7019,plain,
% 39.14/25.62 (v113(constB53)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7018, 294, 7015])).
% 39.14/25.62 tff(7020,assumption,(v26(constB53)), introduced(assumption)).
% 39.14/25.62 tff(7021,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7022,plain,
% 39.14/25.62 ($false),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7021, 86, 7020])).
% 39.14/25.62 tff(7023,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.62 tff(7024,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7025,plain,
% 39.14/25.62 ((v26(constB53) | (~v113(constB53)) | v112(constB53)) <=> (v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7026,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53))))),
% 39.14/25.62 inference(monotonicity,[status(thm)],[7025])).
% 39.14/25.62 tff(7027,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 39.14/25.62 inference(transitivity,[status(thm)],[7026, 7024])).
% 39.14/25.62 tff(7028,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7029,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7028, 7027])).
% 39.14/25.62 tff(7030,plain,
% 39.14/25.62 (v112(constB53) | (~v113(constB53))),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7029, 308, 7023])).
% 39.14/25.62 tff(7031,plain,
% 39.14/25.62 (v112(constB53)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7030, 7019])).
% 39.14/25.62 tff(7032,plain,
% 39.14/25.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7033,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7034,plain,
% 39.14/25.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7033, 7032])).
% 39.14/25.62 tff(7035,plain,
% 39.14/25.62 (v108(constB53)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7034, 320, 7031])).
% 39.14/25.62 tff(7036,plain,
% 39.14/25.62 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7037,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 39.14/25.62 tff(7038,plain,
% 39.14/25.62 (nextState(constB53, constB54)),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7037, 7036])).
% 39.14/25.62 tff(7039,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7040,plain,
% 39.14/25.62 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7041,plain,
% 39.14/25.62 (((~![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))))),
% 39.14/25.62 inference(monotonicity,[status(thm)],[7040])).
% 39.14/25.62 tff(7042,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(transitivity,[status(thm)],[7041, 7039])).
% 39.14/25.62 tff(7043,plain,
% 39.14/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7044,plain,
% 39.14/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7043, 7042])).
% 39.14/25.62 tff(7045,plain,
% 39.14/25.62 (v110(constB54) | (~v108(constB53))),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7044, 337, 7038])).
% 39.14/25.62 tff(7046,plain,
% 39.14/25.62 (v110(constB54)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7045, 7035])).
% 39.14/25.62 tff(7047,plain,
% 39.14/25.62 (((~![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)))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7048,plain,
% 39.14/25.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7049,plain,
% 39.14/25.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7048, 7047])).
% 39.14/25.62 tff(7050,plain,
% 39.14/25.62 (~v104(constB54)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7049, 355, 7038, 6906])).
% 39.14/25.62 tff(7051,plain,
% 39.14/25.62 (((~![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))),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7052,plain,
% 39.14/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 39.14/25.62 inference(quant_inst,[status(thm)],[])).
% 39.14/25.62 tff(7053,plain,
% 39.14/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)),
% 39.14/25.62 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 39.14/25.62 tff(7054,plain,
% 39.14/25.62 (v102(constB54) | v104(constB54)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7053, 369, 7038])).
% 39.14/25.62 tff(7055,plain,
% 39.14/25.62 (v102(constB54)),
% 39.14/25.62 inference(unit_resolution,[status(thm)],[7054, 7050])).
% 39.14/25.62 tff(7056,plain,
% 39.14/25.62 (v1(constB54) <=> v1(constB54)),
% 39.14/25.62 inference(rewrite,[status(thm)],[])).
% 39.14/25.62 tff(7057,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 39.14/25.63 tff(7058,plain,
% 39.14/25.63 (v1(constB54)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7057, 7056])).
% 39.14/25.63 tff(7059,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7060,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7061,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 39.14/25.63 tff(7062,plain,
% 39.14/25.63 (v101(constB54) | (~v102(constB54))),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7061, 387, 7038, 7058])).
% 39.14/25.63 tff(7063,plain,
% 39.14/25.63 (v101(constB54)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7062, 7055])).
% 39.14/25.63 tff(7064,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7065,plain,
% 39.14/25.63 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7066,plain,
% 39.14/25.63 (((~![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))))),
% 39.14/25.63 inference(monotonicity,[status(thm)],[7065])).
% 39.14/25.63 tff(7067,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(transitivity,[status(thm)],[7066, 7064])).
% 39.14/25.63 tff(7068,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7069,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 39.14/25.63 tff(7070,plain,
% 39.14/25.63 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7069, 402, 7038])).
% 39.14/25.63 tff(7071,plain,
% 39.14/25.63 (v100(constB54) | (~v110(constB54))),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7070, 7063])).
% 39.14/25.63 tff(7072,plain,
% 39.14/25.63 (v100(constB54)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7071, 7046])).
% 39.14/25.63 tff(7073,plain,
% 39.14/25.63 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7074,plain,
% 39.14/25.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7075,plain,
% 39.14/25.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7074, 7073])).
% 39.14/25.63 tff(7076,plain,
% 39.14/25.63 (v130(constB53, bitIndex0)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7075, 1758, 6999])).
% 39.14/25.63 tff(7077,plain,
% 39.14/25.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7078,plain,
% 39.14/25.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7079,plain,
% 39.14/25.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7078, 7077])).
% 39.14/25.63 tff(7080,plain,
% 39.14/25.63 ((~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7079, 601, 7023])).
% 39.14/25.63 tff(7081,plain,
% 39.14/25.63 (v127(constB53, bitIndex0)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7080, 7076])).
% 39.14/25.63 tff(7082,plain,
% 39.14/25.63 (((~![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))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7083,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7084,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7083, 7082])).
% 39.14/25.63 tff(7085,plain,
% 39.14/25.63 ((~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7084, 616, 7038])).
% 39.14/25.63 tff(7086,plain,
% 39.14/25.63 (v129(constB54, bitIndex0)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7085, 7081])).
% 39.14/25.63 tff(7087,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7088,plain,
% 39.14/25.63 ((v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0))) <=> (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7089,plain,
% 39.14/25.63 (((~![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))))),
% 39.14/25.63 inference(monotonicity,[status(thm)],[7088])).
% 39.14/25.63 tff(7090,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(transitivity,[status(thm)],[7089, 7087])).
% 39.14/25.63 tff(7091,plain,
% 39.14/25.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7092,plain,
% 39.14/25.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7091, 7090])).
% 39.14/25.63 tff(7093,plain,
% 39.14/25.63 (v90(constB54, bitIndex0) | (~v100(constB54))),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7092, 631, 7086])).
% 39.14/25.63 tff(7094,plain,
% 39.14/25.63 (v90(constB54, bitIndex0)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7093, 7072])).
% 39.14/25.63 tff(7095,plain,
% 39.14/25.63 ((~v1(constB55)) <=> (~v1(constB55))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7096,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 39.14/25.63 tff(7097,plain,
% 39.14/25.63 (~v1(constB55)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7096, 7095])).
% 39.14/25.63 tff(7098,plain,
% 39.14/25.63 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7099,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 39.14/25.63 tff(7100,plain,
% 39.14/25.63 (nextState(constB54, constB55)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7099, 7098])).
% 39.14/25.63 tff(7101,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7102,plain,
% 39.14/25.63 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7103,plain,
% 39.14/25.63 (((~![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))))),
% 39.14/25.63 inference(monotonicity,[status(thm)],[7102])).
% 39.14/25.63 tff(7104,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(transitivity,[status(thm)],[7103, 7101])).
% 39.14/25.63 tff(7105,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7106,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7105, 7104])).
% 39.14/25.63 tff(7107,plain,
% 39.14/25.63 (~v101(constB55)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7106, 133, 7100, 7097])).
% 39.14/25.63 tff(7108,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7109,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7110,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7109, 7108])).
% 39.14/25.63 tff(7111,plain,
% 39.14/25.63 (v101(constB55) | (~v100(constB55))),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7110, 150, 7100])).
% 39.14/25.63 tff(7112,plain,
% 39.14/25.63 (~v100(constB55)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7111, 7107])).
% 39.14/25.63 tff(7113,plain,
% 39.14/25.63 (((~![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))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7114,plain,
% 39.14/25.63 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)) <=> ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7115,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(monotonicity,[status(thm)],[7114])).
% 39.14/25.63 tff(7116,plain,
% 39.14/25.63 (((~![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))),
% 39.14/25.63 inference(transitivity,[status(thm)],[7115, 7113])).
% 39.14/25.63 tff(7117,plain,
% 39.14/25.63 ((~![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))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7118,plain,
% 39.14/25.63 ((~![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)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7117, 7116])).
% 39.14/25.63 tff(7119,plain,
% 39.14/25.63 ((~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7118, 649, 7100])).
% 39.14/25.63 tff(7120,plain,
% 39.14/25.63 ((~v90(constB54, bitIndex0)) | v90(constB55, bitIndex0)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7119, 7112])).
% 39.14/25.63 tff(7121,plain,
% 39.14/25.63 (v90(constB55, bitIndex0)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7120, 7094])).
% 39.14/25.63 tff(7122,plain,
% 39.14/25.63 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))))),
% 39.14/25.63 inference(bind,[status(th)],[])).
% 39.14/25.63 tff(7123,plain,
% 39.14/25.63 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 39.14/25.63 inference(quant_intro,[status(thm)],[7122])).
% 39.14/25.63 tff(7124,plain,
% 39.14/25.63 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7125,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 39.14/25.63 tff(7126,plain,
% 39.14/25.63 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7125, 7124])).
% 39.14/25.63 tff(7127,plain,(
% 39.14/25.63 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 39.14/25.63 inference(skolemize,[status(sab)],[7126])).
% 39.14/25.63 tff(7128,plain,
% 39.14/25.63 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7127, 7123])).
% 39.14/25.63 tff(7129,plain,
% 39.14/25.63 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB55, bitIndex0)) | (~v119(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB55, bitIndex0)) | (~v119(constB55)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7130,plain,
% 39.14/25.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB55, bitIndex0)) | (~v119(constB55)))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7131,plain,
% 39.14/25.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB55, bitIndex0)) | (~v119(constB55))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7130, 7129])).
% 39.14/25.63 tff(7132,plain,
% 39.14/25.63 (~v119(constB55)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7131, 7128, 7121])).
% 39.14/25.63 tff(7133,plain,
% 39.14/25.63 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7134,plain,
% 39.14/25.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7135,plain,
% 39.14/25.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7134, 7133])).
% 39.14/25.63 tff(7136,plain,
% 39.14/25.63 (~v130(constB53, bitIndex2)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7135, 1102, 6999])).
% 39.14/25.63 tff(7137,plain,
% 39.14/25.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7138,plain,
% 39.14/25.63 ((v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2))) <=> ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7139,plain,
% 39.14/25.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)))),
% 39.14/25.63 inference(monotonicity,[status(thm)],[7138])).
% 39.14/25.63 tff(7140,plain,
% 39.14/25.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 39.14/25.63 inference(transitivity,[status(thm)],[7139, 7137])).
% 39.14/25.63 tff(7141,plain,
% 39.14/25.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7142,plain,
% 39.14/25.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 39.14/25.63 tff(7143,plain,
% 39.14/25.63 ((~v127(constB53, bitIndex2)) | v130(constB53, bitIndex2)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7142, 435, 7023])).
% 39.14/25.63 tff(7144,plain,
% 39.14/25.63 (~v127(constB53, bitIndex2)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7143, 7136])).
% 39.14/25.63 tff(7145,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7146,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7147,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7146, 7145])).
% 39.14/25.63 tff(7148,plain,
% 39.14/25.63 (v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7147, 453, 7038])).
% 39.14/25.63 tff(7149,plain,
% 39.14/25.63 (~v129(constB54, bitIndex2)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7148, 7144])).
% 39.14/25.63 tff(7150,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7151,plain,
% 39.14/25.63 (((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2)) <=> ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7152,plain,
% 39.14/25.63 (((~![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))))),
% 39.14/25.63 inference(monotonicity,[status(thm)],[7151])).
% 39.14/25.63 tff(7153,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(transitivity,[status(thm)],[7152, 7150])).
% 39.14/25.63 tff(7154,plain,
% 39.14/25.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7155,plain,
% 39.14/25.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7154, 7153])).
% 39.14/25.63 tff(7156,plain,
% 39.14/25.63 ((~v90(constB54, bitIndex2)) | (~v100(constB54))),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7155, 468, 7149])).
% 39.14/25.63 tff(7157,plain,
% 39.14/25.63 (~v90(constB54, bitIndex2)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7156, 7072])).
% 39.14/25.63 tff(7158,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7159,plain,
% 39.14/25.63 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7160,plain,
% 39.14/25.63 (((~![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))))),
% 39.14/25.63 inference(monotonicity,[status(thm)],[7159])).
% 39.14/25.63 tff(7161,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(transitivity,[status(thm)],[7160, 7158])).
% 39.14/25.63 tff(7162,plain,
% 39.14/25.63 ((~![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)))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7163,plain,
% 39.14/25.63 ((~![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))),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7162, 7161])).
% 39.14/25.63 tff(7164,plain,
% 39.14/25.63 (v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7163, 165, 7100])).
% 39.14/25.63 tff(7165,plain,
% 39.14/25.63 (v90(constB54, bitIndex2) | (~v90(constB55, bitIndex2))),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7164, 7112])).
% 39.14/25.63 tff(7166,plain,
% 39.14/25.63 (~v90(constB55, bitIndex2)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7165, 7157])).
% 39.14/25.63 tff(7167,plain,
% 39.14/25.63 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7168,plain,
% 39.14/25.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7169,plain,
% 39.14/25.63 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7168, 7167])).
% 39.14/25.63 tff(7170,plain,
% 39.14/25.63 (v130(constB53, bitIndex1)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7169, 1717, 6999])).
% 39.14/25.63 tff(7171,plain,
% 39.14/25.63 (((~![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))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7172,plain,
% 39.14/25.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7173,plain,
% 39.14/25.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7172, 7171])).
% 39.14/25.63 tff(7174,plain,
% 39.14/25.63 ((~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7173, 882, 7023])).
% 39.14/25.63 tff(7175,plain,
% 39.14/25.63 (v127(constB53, bitIndex1)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7174, 7170])).
% 39.14/25.63 tff(7176,plain,
% 39.14/25.63 (((~![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))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7177,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 39.14/25.63 inference(quant_inst,[status(thm)],[])).
% 39.14/25.63 tff(7178,plain,
% 39.14/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 39.14/25.63 inference(modus_ponens,[status(thm)],[7177, 7176])).
% 39.14/25.63 tff(7179,plain,
% 39.14/25.63 ((~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7178, 897, 7038])).
% 39.14/25.63 tff(7180,plain,
% 39.14/25.63 (v129(constB54, bitIndex1)),
% 39.14/25.63 inference(unit_resolution,[status(thm)],[7179, 7175])).
% 39.14/25.63 tff(7181,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7182,plain,
% 39.14/25.63 ((v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 39.14/25.63 inference(rewrite,[status(thm)],[])).
% 39.14/25.63 tff(7183,plain,
% 39.14/25.63 (((~![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))))),
% 39.14/25.63 inference(monotonicity,[status(thm)],[7182])).
% 39.14/25.63 tff(7184,plain,
% 39.14/25.63 (((~![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)))),
% 39.14/25.64 inference(transitivity,[status(thm)],[7183, 7181])).
% 39.14/25.64 tff(7185,plain,
% 39.14/25.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7186,plain,
% 39.14/25.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7185, 7184])).
% 39.14/25.64 tff(7187,plain,
% 39.14/25.64 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7186, 912, 7180])).
% 39.14/25.64 tff(7188,plain,
% 39.14/25.64 (v90(constB54, bitIndex1)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7187, 7072])).
% 39.14/25.64 tff(7189,plain,
% 39.14/25.64 (((~![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))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7190,plain,
% 39.14/25.64 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7191,plain,
% 39.14/25.64 (((~![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)))),
% 39.14/25.64 inference(monotonicity,[status(thm)],[7190])).
% 39.14/25.64 tff(7192,plain,
% 39.14/25.64 (((~![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))),
% 39.14/25.64 inference(transitivity,[status(thm)],[7191, 7189])).
% 39.14/25.64 tff(7193,plain,
% 39.14/25.64 ((~![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))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7194,plain,
% 39.14/25.64 ((~![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)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7193, 7192])).
% 39.14/25.64 tff(7195,plain,
% 39.14/25.64 ((~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7194, 1049, 7100])).
% 39.14/25.64 tff(7196,plain,
% 39.14/25.64 ((~v90(constB54, bitIndex1)) | v90(constB55, bitIndex1)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7195, 7112])).
% 39.14/25.64 tff(7197,plain,
% 39.14/25.64 (v90(constB55, bitIndex1)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7196, 7188])).
% 39.14/25.64 tff(7198,plain,
% 39.14/25.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v120(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v120(constB55)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7199,plain,
% 39.14/25.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v120(constB55)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7200,plain,
% 39.14/25.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v120(constB55))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 39.14/25.64 tff(7201,plain,
% 39.14/25.64 (~v120(constB55)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7200, 2615, 7197])).
% 39.14/25.64 tff(7202,assumption,(~v100(constB58)), introduced(assumption)).
% 39.14/25.64 tff(7203,plain,
% 39.14/25.64 ((~v1(constB57)) <=> (~v1(constB57))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7204,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 39.14/25.64 tff(7205,plain,
% 39.14/25.64 (~v1(constB57)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 39.14/25.64 tff(7206,plain,
% 39.14/25.64 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7207,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 39.14/25.64 tff(7208,plain,
% 39.14/25.64 (nextState(constB57, constB58)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7207, 7206])).
% 39.14/25.64 tff(7209,plain,
% 39.14/25.64 (((~![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)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7210,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7211,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7210, 7209])).
% 39.14/25.64 tff(7212,plain,
% 39.14/25.64 (~v104(constB58)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7211, 355, 7208, 7205])).
% 39.14/25.64 tff(7213,plain,
% 39.14/25.64 (((~![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))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7214,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7215,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 39.14/25.64 tff(7216,plain,
% 39.14/25.64 (v102(constB58) | v104(constB58)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7215, 369, 7208])).
% 39.14/25.64 tff(7217,plain,
% 39.14/25.64 (v102(constB58)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7216, 7212])).
% 39.14/25.64 tff(7218,plain,
% 39.14/25.64 (v1(constB58) <=> v1(constB58)),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7219,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 39.14/25.64 tff(7220,plain,
% 39.14/25.64 (v1(constB58)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 39.14/25.64 tff(7221,plain,
% 39.14/25.64 (((~![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)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7222,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7223,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7222, 7221])).
% 39.14/25.64 tff(7224,plain,
% 39.14/25.64 (v101(constB58) | (~v102(constB58))),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7223, 387, 7208, 7220])).
% 39.14/25.64 tff(7225,plain,
% 39.14/25.64 (v101(constB58)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7224, 7217])).
% 39.14/25.64 tff(7226,plain,
% 39.14/25.64 (((~![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)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7227,plain,
% 39.14/25.64 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7228,plain,
% 39.14/25.64 (((~![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))))),
% 39.14/25.64 inference(monotonicity,[status(thm)],[7227])).
% 39.14/25.64 tff(7229,plain,
% 39.14/25.64 (((~![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)))),
% 39.14/25.64 inference(transitivity,[status(thm)],[7228, 7226])).
% 39.14/25.64 tff(7230,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7231,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7230, 7229])).
% 39.14/25.64 tff(7232,plain,
% 39.14/25.64 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7231, 402, 7208])).
% 39.14/25.64 tff(7233,plain,
% 39.14/25.64 (v100(constB58) | (~v110(constB58))),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7232, 7225])).
% 39.14/25.64 tff(7234,plain,
% 39.14/25.64 (~v110(constB58)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7233, 7202])).
% 39.14/25.64 tff(7235,plain,
% 39.14/25.64 (((~![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)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7236,plain,
% 39.14/25.64 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7237,plain,
% 39.14/25.64 (((~![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))))),
% 39.14/25.64 inference(monotonicity,[status(thm)],[7236])).
% 39.14/25.64 tff(7238,plain,
% 39.14/25.64 (((~![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)))),
% 39.14/25.64 inference(transitivity,[status(thm)],[7237, 7235])).
% 39.14/25.64 tff(7239,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7240,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 39.14/25.64 tff(7241,plain,
% 39.14/25.64 (v110(constB58) | (~v108(constB57))),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7240, 337, 7208])).
% 39.14/25.64 tff(7242,plain,
% 39.14/25.64 (~v108(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7241, 7234])).
% 39.14/25.64 tff(7243,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7244,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7245,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 39.14/25.64 tff(7246,plain,
% 39.14/25.64 (~v112(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7245, 320, 7242])).
% 39.14/25.64 tff(7247,assumption,(v26(constB57)), introduced(assumption)).
% 39.14/25.64 tff(7248,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7249,plain,
% 39.14/25.64 ($false),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7248, 86, 7247])).
% 39.14/25.64 tff(7250,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.64 tff(7251,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7252,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7253,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7252, 7251])).
% 39.14/25.64 tff(7254,plain,
% 39.14/25.64 ((~v113(constB57)) | v112(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7253, 308, 7250])).
% 39.14/25.64 tff(7255,plain,
% 39.14/25.64 (~v113(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7254, 7246])).
% 39.14/25.64 tff(7256,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7257,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7258,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7257, 7256])).
% 39.14/25.64 tff(7259,plain,
% 39.14/25.64 (~v114(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7258, 294, 7255])).
% 39.14/25.64 tff(7260,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7261,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7262,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 39.14/25.64 tff(7263,plain,
% 39.14/25.64 (~v115(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7262, 283, 7259])).
% 39.14/25.64 tff(7264,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB57) | (~v125(constB57)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB57) | (~v125(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7265,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB57) | (~v125(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7266,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB57) | (~v125(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7265, 7264])).
% 39.14/25.64 tff(7267,plain,
% 39.14/25.64 (~v125(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7266, 1294, 7255])).
% 39.14/25.64 tff(7268,assumption,(~v120(constB55)), introduced(assumption)).
% 39.14/25.64 tff(7269,assumption,(~v119(constB55)), introduced(assumption)).
% 39.14/25.64 tff(7270,assumption,(~v90(constB55, bitIndex2)), introduced(assumption)).
% 39.14/25.64 tff(7271,assumption,(~v90(constB58, bitIndex2)), introduced(assumption)).
% 39.14/25.64 tff(7272,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB57) | (~v116(constB57)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB57) | (~v116(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7273,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB57) | (~v116(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7274,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB57) | (~v116(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7273, 7272])).
% 39.14/25.64 tff(7275,plain,
% 39.14/25.64 (~v116(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7274, 272, 7263])).
% 39.14/25.64 tff(7276,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB57) | (~v117(constB57)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB57) | (~v117(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7277,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB57) | (~v117(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7278,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB57) | (~v117(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7277, 7276])).
% 39.14/25.64 tff(7279,plain,
% 39.14/25.64 (~v117(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7278, 261, 7275])).
% 39.14/25.64 tff(7280,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB57) | (~v118(constB57)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB57) | (~v118(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7281,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB57) | (~v118(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7282,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB57) | (~v118(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7281, 7280])).
% 39.14/25.64 tff(7283,plain,
% 39.14/25.64 (~v118(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7282, 250, 7279])).
% 39.14/25.64 tff(7284,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB57) | (~v120(constB57)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB57) | (~v120(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7285,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB57) | (~v120(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7286,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB57) | (~v120(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7285, 7284])).
% 39.14/25.64 tff(7287,plain,
% 39.14/25.64 (~v120(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7286, 778, 7283])).
% 39.14/25.64 tff(7288,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB57) | (~v121(constB57)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB57) | (~v121(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7289,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB57) | (~v121(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7290,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB57) | (~v121(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7289, 7288])).
% 39.14/25.64 tff(7291,plain,
% 39.14/25.64 (~v121(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7290, 1130, 7279])).
% 39.14/25.64 tff(7292,plain,
% 39.14/25.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7293,plain,
% 39.14/25.64 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2)) <=> ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7294,plain,
% 39.14/25.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2)))),
% 39.14/25.64 inference(monotonicity,[status(thm)],[7293])).
% 39.14/25.64 tff(7295,plain,
% 39.14/25.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 39.14/25.64 inference(transitivity,[status(thm)],[7294, 7292])).
% 39.14/25.64 tff(7296,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7297,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7296, 7295])).
% 39.14/25.64 tff(7298,plain,
% 39.14/25.64 ((~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7297, 2118, 7208])).
% 39.14/25.64 tff(7299,plain,
% 39.14/25.64 (~v90(constB57, bitIndex2)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7298, 7202, 7271])).
% 39.14/25.64 tff(7300,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB57) | (~v119(constB57)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB57) | (~v119(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7301,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB57) | (~v119(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7302,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB57) | (~v119(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7301, 7300])).
% 39.14/25.64 tff(7303,plain,
% 39.14/25.64 (~v119(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7302, 239, 7283])).
% 39.14/25.64 tff(7304,assumption,(~v119(constB57)), introduced(assumption)).
% 39.14/25.64 tff(7305,assumption,(~v90(constB57, bitIndex0)), introduced(assumption)).
% 39.14/25.64 tff(7306,assumption,(~v121(constB57)), introduced(assumption)).
% 39.14/25.64 tff(7307,assumption,(~v90(constB57, bitIndex2)), introduced(assumption)).
% 39.14/25.64 tff(7308,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7309,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7310,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7309, 7308])).
% 39.14/25.64 tff(7311,plain,
% 39.14/25.64 (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v121(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7310, 996, 7307])).
% 39.14/25.64 tff(7312,plain,
% 39.14/25.64 (~v90(constB57, bitIndex1)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7311, 7305, 7306])).
% 39.14/25.64 tff(7313,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7314,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7315,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7314, 7313])).
% 39.14/25.64 tff(7316,plain,
% 39.14/25.64 (v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7315, 228, 7307])).
% 39.14/25.64 tff(7317,plain,
% 39.14/25.64 ($false),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7316, 7312, 7305, 7304])).
% 39.14/25.64 tff(7318,plain,(v90(constB57, bitIndex0) | v119(constB57) | v90(constB57, bitIndex2) | v121(constB57)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.64 tff(7319,plain,
% 39.14/25.64 (v90(constB57, bitIndex0)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7318, 7303, 7299, 7291])).
% 39.14/25.64 tff(7320,plain,
% 39.14/25.64 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB57) | (~v122(constB57)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB57) | (~v122(constB57)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7321,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB57) | (~v122(constB57)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7322,plain,
% 39.14/25.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB57) | (~v122(constB57))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7321, 7320])).
% 39.14/25.64 tff(7323,plain,
% 39.14/25.64 (~v122(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7322, 1149, 7275])).
% 39.14/25.64 tff(7324,plain,
% 39.14/25.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7325,plain,
% 39.14/25.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7326,plain,
% 39.14/25.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 39.14/25.64 tff(7327,plain,
% 39.14/25.64 ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v122(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7326, 1184, 7299])).
% 39.14/25.64 tff(7328,plain,
% 39.14/25.64 (~v90(constB57, bitIndex1)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7327, 7319, 7323])).
% 39.14/25.64 tff(7329,plain,
% 39.14/25.64 (((~![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))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7330,plain,
% 39.14/25.64 (((~v90(constB57, bitIndex0)) | v120(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2)) <=> ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7331,plain,
% 39.14/25.64 (((~![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)))),
% 39.14/25.64 inference(monotonicity,[status(thm)],[7330])).
% 39.14/25.64 tff(7332,plain,
% 39.14/25.64 (((~![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))),
% 39.14/25.64 inference(transitivity,[status(thm)],[7331, 7329])).
% 39.14/25.64 tff(7333,plain,
% 39.14/25.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v120(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7334,plain,
% 39.14/25.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57)),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 39.14/25.64 tff(7335,plain,
% 39.14/25.64 ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v120(constB57)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7334, 668, 7299])).
% 39.14/25.64 tff(7336,plain,
% 39.14/25.64 ($false),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7335, 7328, 7319, 7287])).
% 39.14/25.64 tff(7337,plain,(v100(constB58) | v90(constB58, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.64 tff(7338,plain,
% 39.14/25.64 (v100(constB58)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7337, 7271])).
% 39.14/25.64 tff(7339,plain,
% 39.14/25.64 (((~![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)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7340,plain,
% 39.14/25.64 ((v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7341,plain,
% 39.14/25.64 (((~![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))))),
% 39.14/25.64 inference(monotonicity,[status(thm)],[7340])).
% 39.14/25.64 tff(7342,plain,
% 39.14/25.64 (((~![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)))),
% 39.14/25.64 inference(transitivity,[status(thm)],[7341, 7339])).
% 39.14/25.64 tff(7343,plain,
% 39.14/25.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))),
% 39.14/25.64 inference(quant_inst,[status(thm)],[])).
% 39.14/25.64 tff(7344,plain,
% 39.14/25.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 39.14/25.64 inference(modus_ponens,[status(thm)],[7343, 7342])).
% 39.14/25.64 tff(7345,plain,
% 39.14/25.64 (~v129(constB58, bitIndex2)),
% 39.14/25.64 inference(unit_resolution,[status(thm)],[7344, 2100, 7338, 7271])).
% 39.14/25.64 tff(7346,plain,
% 39.14/25.64 (((~![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))),
% 39.14/25.64 inference(rewrite,[status(thm)],[])).
% 39.14/25.64 tff(7347,plain,
% 39.14/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7348,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7347, 7346])).
% 39.14/25.65 tff(7349,plain,
% 39.14/25.65 ((~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7348, 1836, 7208])).
% 39.14/25.65 tff(7350,plain,
% 39.14/25.65 (~v127(constB57, bitIndex2)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7349, 7345])).
% 39.14/25.65 tff(7351,plain,
% 39.14/25.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7352,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7353,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7352, 7351])).
% 39.14/25.65 tff(7354,plain,
% 39.14/25.65 ((~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7353, 1821, 7250])).
% 39.14/25.65 tff(7355,plain,
% 39.14/25.65 (~v130(constB57, bitIndex2)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7354, 7350])).
% 39.14/25.65 tff(7356,plain,
% 39.14/25.65 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB57)) | v130(constB57, bitIndex2))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7357,plain,
% 39.14/25.65 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB57)) | v130(constB57, bitIndex2))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7358,plain,
% 39.14/25.65 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB57)) | v130(constB57, bitIndex2)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7357, 7356])).
% 39.14/25.65 tff(7359,plain,
% 39.14/25.65 (~v122(constB57)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7358, 1803, 7355])).
% 39.14/25.65 tff(7360,assumption,(v121(constB55)), introduced(assumption)).
% 39.14/25.65 tff(7361,plain,
% 39.14/25.65 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB55) | (~v121(constB55)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB55) | (~v121(constB55)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7362,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB55) | (~v121(constB55)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7363,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB55) | (~v121(constB55))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7362, 7361])).
% 39.14/25.65 tff(7364,plain,
% 39.14/25.65 (v117(constB55)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7363, 1130, 7360])).
% 39.14/25.65 tff(7365,plain,
% 39.14/25.65 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB55) | (~v117(constB55)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB55) | (~v117(constB55)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7366,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB55) | (~v117(constB55)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7367,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB55) | (~v117(constB55))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7366, 7365])).
% 39.14/25.65 tff(7368,plain,
% 39.14/25.65 (v116(constB55)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7367, 261, 7364])).
% 39.14/25.65 tff(7369,plain,
% 39.14/25.65 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB55) | (~v116(constB55)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB55) | (~v116(constB55)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7370,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB55) | (~v116(constB55)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7371,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB55) | (~v116(constB55))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7370, 7369])).
% 39.14/25.65 tff(7372,plain,
% 39.14/25.65 (v115(constB55)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7371, 272, 7368])).
% 39.14/25.65 tff(7373,plain,
% 39.14/25.65 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB55) | (~v115(constB55)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7374,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB55) | (~v115(constB55)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7375,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB55) | (~v115(constB55))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7374, 7373])).
% 39.14/25.65 tff(7376,plain,
% 39.14/25.65 (v114(constB55)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7375, 283, 7372])).
% 39.14/25.65 tff(7377,plain,
% 39.14/25.65 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB55) | (~v114(constB55)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB55) | (~v114(constB55)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7378,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB55) | (~v114(constB55)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7379,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB55) | (~v114(constB55))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 39.14/25.65 tff(7380,plain,
% 39.14/25.65 (v113(constB55)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7379, 294, 7376])).
% 39.14/25.65 tff(7381,assumption,(v26(constB55)), introduced(assumption)).
% 39.14/25.65 tff(7382,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7383,plain,
% 39.14/25.65 ($false),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7382, 86, 7381])).
% 39.14/25.65 tff(7384,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.65 tff(7385,plain,
% 39.14/25.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7386,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7387,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | (~v113(constB55)) | v112(constB55)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7386, 7385])).
% 39.14/25.65 tff(7388,plain,
% 39.14/25.65 ((~v113(constB55)) | v112(constB55)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7387, 308, 7384])).
% 39.14/25.65 tff(7389,plain,
% 39.14/25.65 (v112(constB55)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7388, 7380])).
% 39.14/25.65 tff(7390,plain,
% 39.14/25.65 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7391,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7392,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7391, 7390])).
% 39.14/25.65 tff(7393,plain,
% 39.14/25.65 (v108(constB55)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7392, 320, 7389])).
% 39.14/25.65 tff(7394,plain,
% 39.14/25.65 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7395,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 39.14/25.65 tff(7396,plain,
% 39.14/25.65 (nextState(constB55, constB56)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7395, 7394])).
% 39.14/25.65 tff(7397,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7398,plain,
% 39.14/25.65 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7399,plain,
% 39.14/25.65 (((~![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))))),
% 39.14/25.65 inference(monotonicity,[status(thm)],[7398])).
% 39.14/25.65 tff(7400,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(transitivity,[status(thm)],[7399, 7397])).
% 39.14/25.65 tff(7401,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7402,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7401, 7400])).
% 39.14/25.65 tff(7403,plain,
% 39.14/25.65 (v110(constB56) | (~v108(constB55))),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7402, 337, 7396])).
% 39.14/25.65 tff(7404,plain,
% 39.14/25.65 (v110(constB56)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7403, 7393])).
% 39.14/25.65 tff(7405,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7406,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7407,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7406, 7405])).
% 39.14/25.65 tff(7408,plain,
% 39.14/25.65 (~v104(constB56)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7407, 355, 7396, 7097])).
% 39.14/25.65 tff(7409,plain,
% 39.14/25.65 (((~![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))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7410,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7411,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7410, 7409])).
% 39.14/25.65 tff(7412,plain,
% 39.14/25.65 (v102(constB56) | v104(constB56)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7411, 369, 7396])).
% 39.14/25.65 tff(7413,plain,
% 39.14/25.65 (v102(constB56)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7412, 7408])).
% 39.14/25.65 tff(7414,plain,
% 39.14/25.65 (v1(constB56) <=> v1(constB56)),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7415,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 39.14/25.65 tff(7416,plain,
% 39.14/25.65 (v1(constB56)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7415, 7414])).
% 39.14/25.65 tff(7417,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7418,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7419,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 39.14/25.65 tff(7420,plain,
% 39.14/25.65 (v101(constB56) | (~v102(constB56))),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7419, 387, 7396, 7416])).
% 39.14/25.65 tff(7421,plain,
% 39.14/25.65 (v101(constB56)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7420, 7413])).
% 39.14/25.65 tff(7422,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7423,plain,
% 39.14/25.65 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7424,plain,
% 39.14/25.65 (((~![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))))),
% 39.14/25.65 inference(monotonicity,[status(thm)],[7423])).
% 39.14/25.65 tff(7425,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(transitivity,[status(thm)],[7424, 7422])).
% 39.14/25.65 tff(7426,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7427,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7426, 7425])).
% 39.14/25.65 tff(7428,plain,
% 39.14/25.65 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7427, 402, 7396])).
% 39.14/25.65 tff(7429,plain,
% 39.14/25.65 (v100(constB56) | (~v110(constB56))),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7428, 7421])).
% 39.14/25.65 tff(7430,plain,
% 39.14/25.65 (v100(constB56)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7429, 7404])).
% 39.14/25.65 tff(7431,plain,
% 39.14/25.65 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB55)) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB55)) | (~v130(constB55, bitIndex2)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7432,plain,
% 39.14/25.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB55)) | (~v130(constB55, bitIndex2)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7433,plain,
% 39.14/25.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB55)) | (~v130(constB55, bitIndex2))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7432, 7431])).
% 39.14/25.65 tff(7434,plain,
% 39.14/25.65 (~v130(constB55, bitIndex2)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7433, 1102, 7360])).
% 39.14/25.65 tff(7435,plain,
% 39.14/25.65 (((~![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))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7436,plain,
% 39.14/25.65 ((v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2))) <=> ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7437,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(monotonicity,[status(thm)],[7436])).
% 39.14/25.65 tff(7438,plain,
% 39.14/25.65 (((~![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))),
% 39.14/25.65 inference(transitivity,[status(thm)],[7437, 7435])).
% 39.14/25.65 tff(7439,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7440,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7439, 7438])).
% 39.14/25.65 tff(7441,plain,
% 39.14/25.65 ((~v127(constB55, bitIndex2)) | v130(constB55, bitIndex2)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7440, 435, 7384])).
% 39.14/25.65 tff(7442,plain,
% 39.14/25.65 (~v127(constB55, bitIndex2)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7441, 7434])).
% 39.14/25.65 tff(7443,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7444,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7445,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 39.14/25.65 tff(7446,plain,
% 39.14/25.65 (v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2))),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7445, 453, 7396])).
% 39.14/25.65 tff(7447,plain,
% 39.14/25.65 (~v129(constB56, bitIndex2)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7446, 7442])).
% 39.14/25.65 tff(7448,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7449,plain,
% 39.14/25.65 (((~v90(constB56, bitIndex2)) | (~v100(constB56)) | v129(constB56, bitIndex2)) <=> ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7450,plain,
% 39.14/25.65 (((~![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))))),
% 39.14/25.65 inference(monotonicity,[status(thm)],[7449])).
% 39.14/25.65 tff(7451,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(transitivity,[status(thm)],[7450, 7448])).
% 39.14/25.65 tff(7452,plain,
% 39.14/25.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~v100(constB56)) | v129(constB56, bitIndex2))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7453,plain,
% 39.14/25.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 39.14/25.65 tff(7454,plain,
% 39.14/25.65 ((~v90(constB56, bitIndex2)) | (~v100(constB56))),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7453, 468, 7447])).
% 39.14/25.65 tff(7455,plain,
% 39.14/25.65 (~v90(constB56, bitIndex2)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7454, 7430])).
% 39.14/25.65 tff(7456,plain,
% 39.14/25.65 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7457,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 39.14/25.65 tff(7458,plain,
% 39.14/25.65 (nextState(constB56, constB57)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7457, 7456])).
% 39.14/25.65 tff(7459,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7460,plain,
% 39.14/25.65 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7461,plain,
% 39.14/25.65 (((~![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))))),
% 39.14/25.65 inference(monotonicity,[status(thm)],[7460])).
% 39.14/25.65 tff(7462,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(transitivity,[status(thm)],[7461, 7459])).
% 39.14/25.65 tff(7463,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7464,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7463, 7462])).
% 39.14/25.65 tff(7465,plain,
% 39.14/25.65 (~v101(constB57)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7464, 133, 7458, 7205])).
% 39.14/25.65 tff(7466,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7467,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7468,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7467, 7466])).
% 39.14/25.65 tff(7469,plain,
% 39.14/25.65 (v101(constB57) | (~v100(constB57))),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7468, 150, 7458])).
% 39.14/25.65 tff(7470,plain,
% 39.14/25.65 (~v100(constB57)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7469, 7465])).
% 39.14/25.65 tff(7471,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7472,plain,
% 39.14/25.65 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7473,plain,
% 39.14/25.65 (((~![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))))),
% 39.14/25.65 inference(monotonicity,[status(thm)],[7472])).
% 39.14/25.65 tff(7474,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(transitivity,[status(thm)],[7473, 7471])).
% 39.14/25.65 tff(7475,plain,
% 39.14/25.65 ((~![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)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7476,plain,
% 39.14/25.65 ((~![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))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7475, 7474])).
% 39.14/25.65 tff(7477,plain,
% 39.14/25.65 (v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2))),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7476, 165, 7458])).
% 39.14/25.65 tff(7478,plain,
% 39.14/25.65 (v90(constB56, bitIndex2) | (~v90(constB57, bitIndex2))),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7477, 7470])).
% 39.14/25.65 tff(7479,plain,
% 39.14/25.65 (~v90(constB57, bitIndex2)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7478, 7455])).
% 39.14/25.65 tff(7480,plain,
% 39.14/25.65 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB55)) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB55)) | v130(constB55, bitIndex0))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7481,plain,
% 39.14/25.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB55)) | v130(constB55, bitIndex0))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7482,plain,
% 39.14/25.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB55)) | v130(constB55, bitIndex0)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 39.14/25.65 tff(7483,plain,
% 39.14/25.65 (v130(constB55, bitIndex0)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7482, 1758, 7360])).
% 39.14/25.65 tff(7484,plain,
% 39.14/25.65 (((~![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))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7485,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7486,plain,
% 39.14/25.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 39.14/25.65 tff(7487,plain,
% 39.14/25.65 ((~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7486, 601, 7384])).
% 39.14/25.65 tff(7488,plain,
% 39.14/25.65 (v127(constB55, bitIndex0)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7487, 7483])).
% 39.14/25.65 tff(7489,plain,
% 39.14/25.65 (((~![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))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7490,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7491,plain,
% 39.14/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0)),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7490, 7489])).
% 39.14/25.65 tff(7492,plain,
% 39.14/25.65 ((~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7491, 616, 7396])).
% 39.14/25.65 tff(7493,plain,
% 39.14/25.65 (v129(constB56, bitIndex0)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7492, 7488])).
% 39.14/25.65 tff(7494,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7495,plain,
% 39.14/25.65 ((v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7496,plain,
% 39.14/25.65 (((~![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))))),
% 39.14/25.65 inference(monotonicity,[status(thm)],[7495])).
% 39.14/25.65 tff(7497,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.65 inference(transitivity,[status(thm)],[7496, 7494])).
% 39.14/25.65 tff(7498,plain,
% 39.14/25.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))),
% 39.14/25.65 inference(quant_inst,[status(thm)],[])).
% 39.14/25.65 tff(7499,plain,
% 39.14/25.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56))),
% 39.14/25.65 inference(modus_ponens,[status(thm)],[7498, 7497])).
% 39.14/25.65 tff(7500,plain,
% 39.14/25.65 (v90(constB56, bitIndex0) | (~v100(constB56))),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7499, 631, 7493])).
% 39.14/25.65 tff(7501,plain,
% 39.14/25.65 (v90(constB56, bitIndex0)),
% 39.14/25.65 inference(unit_resolution,[status(thm)],[7500, 7430])).
% 39.14/25.65 tff(7502,plain,
% 39.14/25.65 (((~![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))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7503,plain,
% 39.14/25.65 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 39.14/25.65 inference(rewrite,[status(thm)],[])).
% 39.14/25.65 tff(7504,plain,
% 39.14/25.65 (((~![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)))),
% 39.14/25.66 inference(monotonicity,[status(thm)],[7503])).
% 39.14/25.66 tff(7505,plain,
% 39.14/25.66 (((~![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))),
% 39.14/25.66 inference(transitivity,[status(thm)],[7504, 7502])).
% 39.14/25.66 tff(7506,plain,
% 39.14/25.66 ((~![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))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7507,plain,
% 39.14/25.66 ((~![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)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7506, 7505])).
% 39.14/25.66 tff(7508,plain,
% 39.14/25.66 ((~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7507, 649, 7458])).
% 39.14/25.66 tff(7509,plain,
% 39.14/25.66 ((~v90(constB56, bitIndex0)) | v90(constB57, bitIndex0)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7508, 7470])).
% 39.14/25.66 tff(7510,plain,
% 39.14/25.66 (v90(constB57, bitIndex0)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7509, 7501])).
% 39.14/25.66 tff(7511,plain,
% 39.14/25.66 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB55)) | v130(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB55)) | v130(constB55, bitIndex1))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7512,plain,
% 39.14/25.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB55)) | v130(constB55, bitIndex1))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7513,plain,
% 39.14/25.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB55)) | v130(constB55, bitIndex1)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7512, 7511])).
% 39.14/25.66 tff(7514,plain,
% 39.14/25.66 (v130(constB55, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7513, 1717, 7360])).
% 39.14/25.66 tff(7515,plain,
% 39.14/25.66 (((~![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))) | v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7516,plain,
% 39.14/25.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7517,plain,
% 39.14/25.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB55) | (~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7516, 7515])).
% 39.14/25.66 tff(7518,plain,
% 39.14/25.66 ((~v130(constB55, bitIndex1)) | v127(constB55, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7517, 882, 7384])).
% 39.14/25.66 tff(7519,plain,
% 39.14/25.66 (v127(constB55, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7518, 7514])).
% 39.14/25.66 tff(7520,plain,
% 39.14/25.66 (((~![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))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7521,plain,
% 39.14/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7522,plain,
% 39.14/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 39.14/25.66 tff(7523,plain,
% 39.14/25.66 ((~v127(constB55, bitIndex1)) | v129(constB56, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7522, 897, 7396])).
% 39.14/25.66 tff(7524,plain,
% 39.14/25.66 (v129(constB56, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7523, 7519])).
% 39.14/25.66 tff(7525,plain,
% 39.14/25.66 (((~![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)))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7526,plain,
% 39.14/25.66 ((v90(constB56, bitIndex1) | (~v100(constB56)) | (~v129(constB56, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56)))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7527,plain,
% 39.14/25.66 (((~![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))))),
% 39.14/25.66 inference(monotonicity,[status(thm)],[7526])).
% 39.14/25.66 tff(7528,plain,
% 39.14/25.66 (((~![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)))),
% 39.14/25.66 inference(transitivity,[status(thm)],[7527, 7525])).
% 39.14/25.66 tff(7529,plain,
% 39.14/25.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~v100(constB56)) | (~v129(constB56, bitIndex1)))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7530,plain,
% 39.14/25.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~v129(constB56, bitIndex1)) | (~v100(constB56))),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 39.14/25.66 tff(7531,plain,
% 39.14/25.66 (v90(constB56, bitIndex1) | (~v100(constB56))),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7530, 912, 7524])).
% 39.14/25.66 tff(7532,plain,
% 39.14/25.66 (v90(constB56, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7531, 7430])).
% 39.14/25.66 tff(7533,plain,
% 39.14/25.66 (((~![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))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7534,plain,
% 39.14/25.66 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7535,plain,
% 39.14/25.66 (((~![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)))),
% 39.14/25.66 inference(monotonicity,[status(thm)],[7534])).
% 39.14/25.66 tff(7536,plain,
% 39.14/25.66 (((~![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))),
% 39.14/25.66 inference(transitivity,[status(thm)],[7535, 7533])).
% 39.14/25.66 tff(7537,plain,
% 39.14/25.66 ((~![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))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7538,plain,
% 39.14/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex1)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 39.14/25.66 tff(7539,plain,
% 39.14/25.66 ((~v90(constB56, bitIndex1)) | v100(constB57) | v90(constB57, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7538, 1049, 7458])).
% 39.14/25.66 tff(7540,plain,
% 39.14/25.66 ((~v90(constB56, bitIndex1)) | v90(constB57, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7539, 7470])).
% 39.14/25.66 tff(7541,plain,
% 39.14/25.66 (v90(constB57, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7540, 7532])).
% 39.14/25.66 tff(7542,assumption,(~v122(constB57)), introduced(assumption)).
% 39.14/25.66 tff(7543,plain,
% 39.14/25.66 ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7326, 1184, 7542])).
% 39.14/25.66 tff(7544,plain,
% 39.14/25.66 ($false),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7543, 7541, 7510, 7479])).
% 39.14/25.66 tff(7545,plain,((~v121(constB55)) | v122(constB57)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.66 tff(7546,plain,
% 39.14/25.66 (~v121(constB55)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7545, 7359])).
% 39.14/25.66 tff(7547,assumption,(~v121(constB55)), introduced(assumption)).
% 39.14/25.66 tff(7548,assumption,(~v90(constB55, bitIndex0)), introduced(assumption)).
% 39.14/25.66 tff(7549,plain,
% 39.14/25.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7550,plain,
% 39.14/25.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7551,plain,
% 39.14/25.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v121(constB55)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7550, 7549])).
% 39.14/25.66 tff(7552,plain,
% 39.14/25.66 (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7551, 996, 7547])).
% 39.14/25.66 tff(7553,plain,
% 39.14/25.66 (~v90(constB55, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7552, 7548, 7270])).
% 39.14/25.66 tff(7554,plain,
% 39.14/25.66 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB55) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB55) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7555,plain,
% 39.14/25.66 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB55) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7556,plain,
% 39.14/25.66 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB55) | v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7555, 7554])).
% 39.14/25.66 tff(7557,plain,
% 39.14/25.66 (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7556, 228, 7269])).
% 39.14/25.66 tff(7558,plain,
% 39.14/25.66 ($false),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7557, 7553, 7548, 7270])).
% 39.14/25.66 tff(7559,plain,(v90(constB55, bitIndex0) | v90(constB55, bitIndex2) | v119(constB55) | v121(constB55)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.66 tff(7560,plain,
% 39.14/25.66 (v90(constB55, bitIndex0)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7559, 7270, 7269, 7547])).
% 39.14/25.66 tff(7561,assumption,(~v122(constB55)), introduced(assumption)).
% 39.14/25.66 tff(7562,plain,
% 39.14/25.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7563,plain,
% 39.14/25.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7564,plain,
% 39.14/25.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7563, 7562])).
% 39.14/25.66 tff(7565,plain,
% 39.14/25.66 ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7564, 1184, 7561])).
% 39.14/25.66 tff(7566,plain,
% 39.14/25.66 (~v90(constB55, bitIndex1)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7565, 7560, 7270])).
% 39.14/25.66 tff(7567,plain,
% 39.14/25.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7568,plain,
% 39.14/25.66 (((~v90(constB55, bitIndex0)) | v120(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)) <=> ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7569,plain,
% 39.14/25.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex0)) | v120(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55)))),
% 39.14/25.66 inference(monotonicity,[status(thm)],[7568])).
% 39.14/25.66 tff(7570,plain,
% 39.14/25.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex0)) | v120(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55))),
% 39.14/25.66 inference(transitivity,[status(thm)],[7569, 7567])).
% 39.14/25.66 tff(7571,plain,
% 39.14/25.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex0)) | v120(constB55) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7572,plain,
% 39.14/25.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | v120(constB55)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7571, 7570])).
% 39.14/25.66 tff(7573,plain,
% 39.14/25.66 ((~v90(constB55, bitIndex0)) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7572, 668, 7268])).
% 39.14/25.66 tff(7574,plain,
% 39.14/25.66 ($false),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7573, 7566, 7560, 7270])).
% 39.14/25.66 tff(7575,plain,(v90(constB55, bitIndex2) | v120(constB55) | v122(constB55) | v119(constB55) | v121(constB55)), inference(lemma,lemma(discharge,[]))).
% 39.14/25.66 tff(7576,plain,
% 39.14/25.66 (v122(constB55)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7575, 7546, 7268, 7269, 7270])).
% 39.14/25.66 tff(7577,plain,
% 39.14/25.66 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB55) | (~v122(constB55)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB55) | (~v122(constB55)))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7578,plain,
% 39.14/25.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB55) | (~v122(constB55)))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7579,plain,
% 39.14/25.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB55) | (~v122(constB55))),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7578, 7577])).
% 39.14/25.66 tff(7580,plain,
% 39.14/25.66 (v116(constB55)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7579, 1149, 7576])).
% 39.14/25.66 tff(7581,plain,
% 39.14/25.66 (v115(constB55)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7371, 272, 7580])).
% 39.14/25.66 tff(7582,plain,
% 39.14/25.66 (v114(constB55)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7375, 283, 7581])).
% 39.14/25.66 tff(7583,plain,
% 39.14/25.66 (v113(constB55)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7379, 294, 7582])).
% 39.14/25.66 tff(7584,plain,
% 39.14/25.66 (v112(constB55)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7388, 7583])).
% 39.14/25.66 tff(7585,plain,
% 39.14/25.66 (v108(constB55)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7392, 320, 7584])).
% 39.14/25.66 tff(7586,plain,
% 39.14/25.66 (v110(constB56)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7403, 7585])).
% 39.14/25.66 tff(7587,plain,
% 39.14/25.66 (v100(constB56)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7429, 7586])).
% 39.14/25.66 tff(7588,plain,
% 39.14/25.66 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7589,plain,
% 39.14/25.66 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7590,plain,
% 39.14/25.66 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 39.14/25.66 tff(7591,plain,
% 39.14/25.66 (v130(constB55, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7590, 1803, 7576])).
% 39.14/25.66 tff(7592,plain,
% 39.14/25.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7593,plain,
% 39.14/25.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7594,plain,
% 39.14/25.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7593, 7592])).
% 39.14/25.66 tff(7595,plain,
% 39.14/25.66 ((~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7594, 1821, 7384])).
% 39.14/25.66 tff(7596,plain,
% 39.14/25.66 (v127(constB55, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7595, 7591])).
% 39.14/25.66 tff(7597,plain,
% 39.14/25.66 (((~![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))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7598,plain,
% 39.14/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7599,plain,
% 39.14/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7598, 7597])).
% 39.14/25.66 tff(7600,plain,
% 39.14/25.66 ((~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7599, 1836, 7396])).
% 39.14/25.66 tff(7601,plain,
% 39.14/25.66 (v129(constB56, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7600, 7596])).
% 39.14/25.66 tff(7602,plain,
% 39.14/25.66 (((~![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)))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7603,plain,
% 39.14/25.66 ((v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7604,plain,
% 39.14/25.66 (((~![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))))),
% 39.14/25.66 inference(monotonicity,[status(thm)],[7603])).
% 39.14/25.66 tff(7605,plain,
% 39.14/25.66 (((~![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)))),
% 39.14/25.66 inference(transitivity,[status(thm)],[7604, 7602])).
% 39.14/25.66 tff(7606,plain,
% 39.14/25.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7607,plain,
% 39.14/25.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7606, 7605])).
% 39.14/25.66 tff(7608,plain,
% 39.14/25.66 (v90(constB56, bitIndex2) | (~v100(constB56))),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7607, 2100, 7601])).
% 39.14/25.66 tff(7609,plain,
% 39.14/25.66 (v90(constB56, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7608, 7587])).
% 39.14/25.66 tff(7610,plain,
% 39.14/25.66 (((~![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))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7611,plain,
% 39.14/25.66 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)) <=> ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 39.14/25.66 inference(rewrite,[status(thm)],[])).
% 39.14/25.66 tff(7612,plain,
% 39.14/25.66 (((~![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)))),
% 39.14/25.66 inference(monotonicity,[status(thm)],[7611])).
% 39.14/25.66 tff(7613,plain,
% 39.14/25.66 (((~![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))),
% 39.14/25.66 inference(transitivity,[status(thm)],[7612, 7610])).
% 39.14/25.66 tff(7614,plain,
% 39.14/25.66 ((~![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))),
% 39.14/25.66 inference(quant_inst,[status(thm)],[])).
% 39.14/25.66 tff(7615,plain,
% 39.14/25.66 ((~![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)),
% 39.14/25.66 inference(modus_ponens,[status(thm)],[7614, 7613])).
% 39.14/25.66 tff(7616,plain,
% 39.14/25.66 ((~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7615, 2118, 7458])).
% 39.14/25.66 tff(7617,plain,
% 39.14/25.66 ((~v90(constB56, bitIndex2)) | v90(constB57, bitIndex2)),
% 39.14/25.66 inference(unit_resolution,[status(thm)],[7616, 7470])).
% 39.14/25.67 tff(7618,plain,
% 39.14/25.67 (v90(constB57, bitIndex2)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7617, 7609])).
% 39.14/25.67 tff(7619,plain,
% 39.14/25.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7620,plain,
% 39.14/25.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7621,plain,
% 39.14/25.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 39.14/25.67 tff(7622,plain,
% 39.14/25.67 (~v130(constB55, bitIndex0)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7621, 1486, 7576])).
% 39.14/25.67 tff(7623,plain,
% 39.14/25.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7624,plain,
% 39.14/25.67 ((v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0))) <=> ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7625,plain,
% 39.14/25.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)))),
% 39.14/25.67 inference(monotonicity,[status(thm)],[7624])).
% 39.14/25.67 tff(7626,plain,
% 39.14/25.67 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 39.14/25.67 inference(transitivity,[status(thm)],[7625, 7623])).
% 39.14/25.67 tff(7627,plain,
% 39.14/25.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7628,plain,
% 39.14/25.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7627, 7626])).
% 39.14/25.67 tff(7629,plain,
% 39.14/25.67 ((~v127(constB55, bitIndex0)) | v130(constB55, bitIndex0)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7628, 944, 7384])).
% 39.14/25.67 tff(7630,plain,
% 39.14/25.67 (~v127(constB55, bitIndex0)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7629, 7622])).
% 39.14/25.67 tff(7631,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7632,plain,
% 39.14/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7633,plain,
% 39.14/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 39.14/25.67 tff(7634,plain,
% 39.14/25.67 (v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7633, 962, 7396])).
% 39.14/25.67 tff(7635,plain,
% 39.14/25.67 (~v129(constB56, bitIndex0)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7634, 7630])).
% 39.14/25.67 tff(7636,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7637,plain,
% 39.14/25.67 (((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7638,plain,
% 39.14/25.67 (((~![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))))),
% 39.14/25.67 inference(monotonicity,[status(thm)],[7637])).
% 39.14/25.67 tff(7639,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(transitivity,[status(thm)],[7638, 7636])).
% 39.14/25.67 tff(7640,plain,
% 39.14/25.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7641,plain,
% 39.14/25.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7640, 7639])).
% 39.14/25.67 tff(7642,plain,
% 39.14/25.67 ((~v90(constB56, bitIndex0)) | (~v100(constB56))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7641, 977, 7635])).
% 39.14/25.67 tff(7643,plain,
% 39.14/25.67 (~v90(constB56, bitIndex0)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7642, 7587])).
% 39.14/25.67 tff(7644,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7645,plain,
% 39.14/25.67 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7646,plain,
% 39.14/25.67 (((~![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))))),
% 39.14/25.67 inference(monotonicity,[status(thm)],[7645])).
% 39.14/25.67 tff(7647,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(transitivity,[status(thm)],[7646, 7644])).
% 39.14/25.67 tff(7648,plain,
% 39.14/25.67 ((~![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)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7649,plain,
% 39.14/25.67 ((~![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))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7648, 7647])).
% 39.14/25.67 tff(7650,plain,
% 39.14/25.67 (v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7649, 207, 7458])).
% 39.14/25.67 tff(7651,plain,
% 39.14/25.67 (v90(constB56, bitIndex0) | (~v90(constB57, bitIndex0))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7650, 7470])).
% 39.14/25.67 tff(7652,plain,
% 39.14/25.67 (~v90(constB57, bitIndex0)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7651, 7643])).
% 39.14/25.67 tff(7653,plain,
% 39.14/25.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7654,plain,
% 39.14/25.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7655,plain,
% 39.14/25.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7654, 7653])).
% 39.14/25.67 tff(7656,plain,
% 39.14/25.67 (~v130(constB55, bitIndex1)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7655, 2137, 7576])).
% 39.14/25.67 tff(7657,plain,
% 39.14/25.67 (((~![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))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7658,plain,
% 39.14/25.67 ((v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1))) <=> ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7659,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(monotonicity,[status(thm)],[7658])).
% 39.14/25.67 tff(7660,plain,
% 39.14/25.67 (((~![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))),
% 39.14/25.67 inference(transitivity,[status(thm)],[7659, 7657])).
% 39.14/25.67 tff(7661,plain,
% 39.14/25.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7662,plain,
% 39.14/25.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7661, 7660])).
% 39.14/25.67 tff(7663,plain,
% 39.14/25.67 ((~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7662, 527, 7384])).
% 39.14/25.67 tff(7664,plain,
% 39.14/25.67 (~v127(constB55, bitIndex1)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7663, 7656])).
% 39.14/25.67 tff(7665,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7666,plain,
% 39.14/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7667,plain,
% 39.14/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 39.14/25.67 tff(7668,plain,
% 39.14/25.67 (v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7667, 545, 7396])).
% 39.14/25.67 tff(7669,plain,
% 39.14/25.67 (~v129(constB56, bitIndex1)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7668, 7664])).
% 39.14/25.67 tff(7670,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7671,plain,
% 39.14/25.67 (((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7672,plain,
% 39.14/25.67 (((~![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))))),
% 39.14/25.67 inference(monotonicity,[status(thm)],[7671])).
% 39.14/25.67 tff(7673,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(transitivity,[status(thm)],[7672, 7670])).
% 39.14/25.67 tff(7674,plain,
% 39.14/25.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7675,plain,
% 39.14/25.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 39.14/25.67 tff(7676,plain,
% 39.14/25.67 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7675, 560, 7669])).
% 39.14/25.67 tff(7677,plain,
% 39.14/25.67 (~v90(constB56, bitIndex1)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7676, 7587])).
% 39.14/25.67 tff(7678,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7679,plain,
% 39.14/25.67 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7680,plain,
% 39.14/25.67 (((~![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))))),
% 39.14/25.67 inference(monotonicity,[status(thm)],[7679])).
% 39.14/25.67 tff(7681,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(transitivity,[status(thm)],[7680, 7678])).
% 39.14/25.67 tff(7682,plain,
% 39.14/25.67 ((~![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)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7683,plain,
% 39.14/25.67 ((~![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))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7682, 7681])).
% 39.14/25.67 tff(7684,plain,
% 39.14/25.67 (v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7683, 186, 7458])).
% 39.14/25.67 tff(7685,plain,
% 39.14/25.67 (v90(constB56, bitIndex1) | (~v90(constB57, bitIndex1))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7684, 7470])).
% 39.14/25.67 tff(7686,plain,
% 39.14/25.67 (~v90(constB57, bitIndex1)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7685, 7677])).
% 39.14/25.67 tff(7687,plain,
% 39.14/25.67 ((~v1(constB59)) <=> (~v1(constB59))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7688,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 39.14/25.67 tff(7689,plain,
% 39.14/25.67 (~v1(constB59)),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7688, 7687])).
% 39.14/25.67 tff(7690,plain,
% 39.14/25.67 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7691,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 39.14/25.67 tff(7692,plain,
% 39.14/25.67 (nextState(constB58, constB59)),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7691, 7690])).
% 39.14/25.67 tff(7693,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7694,plain,
% 39.14/25.67 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7695,plain,
% 39.14/25.67 (((~![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))))),
% 39.14/25.67 inference(monotonicity,[status(thm)],[7694])).
% 39.14/25.67 tff(7696,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(transitivity,[status(thm)],[7695, 7693])).
% 39.14/25.67 tff(7697,plain,
% 39.14/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7698,plain,
% 39.14/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7697, 7696])).
% 39.14/25.67 tff(7699,plain,
% 39.14/25.67 (~v101(constB59)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7698, 133, 7692, 7689])).
% 39.14/25.67 tff(7700,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7701,plain,
% 39.14/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7702,plain,
% 39.14/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7701, 7700])).
% 39.14/25.67 tff(7703,plain,
% 39.14/25.67 (v101(constB59) | (~v100(constB59))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7702, 150, 7692])).
% 39.14/25.67 tff(7704,plain,
% 39.14/25.67 (~v100(constB59)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7703, 7699])).
% 39.14/25.67 tff(7705,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7706,plain,
% 39.14/25.67 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7707,plain,
% 39.14/25.67 (((~![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))))),
% 39.14/25.67 inference(monotonicity,[status(thm)],[7706])).
% 39.14/25.67 tff(7708,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(transitivity,[status(thm)],[7707, 7705])).
% 39.14/25.67 tff(7709,plain,
% 39.14/25.67 ((~![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)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7710,plain,
% 39.14/25.67 ((~![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))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7709, 7708])).
% 39.14/25.67 tff(7711,plain,
% 39.14/25.67 (v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7710, 165, 7692])).
% 39.14/25.67 tff(7712,plain,
% 39.14/25.67 (v90(constB58, bitIndex2) | (~v90(constB59, bitIndex2))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7711, 7704])).
% 39.14/25.67 tff(7713,plain,
% 39.14/25.67 (~v90(constB59, bitIndex2)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7712, 7271])).
% 39.14/25.67 tff(7714,plain,
% 39.14/25.67 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v124(VarCurr))))),
% 39.14/25.67 inference(bind,[status(th)],[])).
% 39.14/25.67 tff(7715,plain,
% 39.14/25.67 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 39.14/25.67 inference(quant_intro,[status(thm)],[7714])).
% 39.14/25.67 tff(7716,plain,
% 39.14/25.67 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7717,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 39.14/25.67 tff(7718,plain,
% 39.14/25.67 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 39.14/25.67 tff(7719,plain,(
% 39.14/25.67 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 39.14/25.67 inference(skolemize,[status(sab)],[7718])).
% 39.14/25.67 tff(7720,plain,
% 39.14/25.67 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7719, 7715])).
% 39.14/25.67 tff(7721,plain,
% 39.14/25.67 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB59, bitIndex2) | (~v124(constB59)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB59, bitIndex2) | (~v124(constB59)))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7722,plain,
% 39.14/25.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB59, bitIndex2) | (~v124(constB59)))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7723,plain,
% 39.14/25.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB59, bitIndex2) | (~v124(constB59))),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 39.14/25.67 tff(7724,plain,
% 39.14/25.67 (~v124(constB59)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7723, 7720, 7713])).
% 39.14/25.67 tff(7725,assumption,(~v124(constB59)), introduced(assumption)).
% 39.14/25.67 tff(7726,assumption,(v123(constB57)), introduced(assumption)).
% 39.14/25.67 tff(7727,plain,
% 39.14/25.67 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7728,plain,
% 39.14/25.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7729,plain,
% 39.14/25.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2)),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 39.14/25.67 tff(7730,plain,
% 39.14/25.67 (v130(constB57, bitIndex2)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7729, 2165, 7726])).
% 39.14/25.67 tff(7731,plain,
% 39.14/25.67 (v127(constB57, bitIndex2)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7354, 7730])).
% 39.14/25.67 tff(7732,plain,
% 39.14/25.67 (v129(constB58, bitIndex2)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7349, 7731])).
% 39.14/25.67 tff(7733,assumption,(v100(constB58)), introduced(assumption)).
% 39.14/25.67 tff(7734,plain,
% 39.14/25.67 (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2))),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7344, 2100, 7733])).
% 39.14/25.67 tff(7735,plain,
% 39.14/25.67 (v90(constB58, bitIndex2)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7734, 7732])).
% 39.14/25.67 tff(7736,plain,
% 39.14/25.67 (((~![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))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7737,plain,
% 39.14/25.67 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2)) <=> ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 39.14/25.67 inference(rewrite,[status(thm)],[])).
% 39.14/25.67 tff(7738,plain,
% 39.14/25.67 (((~![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)))),
% 39.14/25.67 inference(monotonicity,[status(thm)],[7737])).
% 39.14/25.67 tff(7739,plain,
% 39.14/25.67 (((~![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))),
% 39.14/25.67 inference(transitivity,[status(thm)],[7738, 7736])).
% 39.14/25.67 tff(7740,plain,
% 39.14/25.67 ((~![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))),
% 39.14/25.67 inference(quant_inst,[status(thm)],[])).
% 39.14/25.67 tff(7741,plain,
% 39.14/25.67 ((~![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)),
% 39.14/25.67 inference(modus_ponens,[status(thm)],[7740, 7739])).
% 39.14/25.67 tff(7742,plain,
% 39.14/25.67 ((~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7741, 2118, 7692])).
% 39.14/25.67 tff(7743,plain,
% 39.14/25.67 ((~v90(constB58, bitIndex2)) | v90(constB59, bitIndex2)),
% 39.14/25.67 inference(unit_resolution,[status(thm)],[7742, 7704])).
% 39.24/25.68 tff(7744,plain,
% 39.24/25.68 (v90(constB59, bitIndex2)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7743, 7735])).
% 39.24/25.68 tff(7745,plain,
% 39.24/25.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB57)) | (~v130(constB57, bitIndex1)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7746,plain,
% 39.24/25.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex1)))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7747,plain,
% 39.24/25.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB57)) | (~v130(constB57, bitIndex1))),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7746, 7745])).
% 39.24/25.68 tff(7748,plain,
% 39.24/25.68 (~v130(constB57, bitIndex1)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7747, 1579, 7726])).
% 39.24/25.68 tff(7749,plain,
% 39.24/25.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7750,plain,
% 39.24/25.68 ((v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1))) <=> ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7751,plain,
% 39.24/25.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)))),
% 39.24/25.68 inference(monotonicity,[status(thm)],[7750])).
% 39.24/25.68 tff(7752,plain,
% 39.24/25.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 39.24/25.68 inference(transitivity,[status(thm)],[7751, 7749])).
% 39.24/25.68 tff(7753,plain,
% 39.24/25.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7754,plain,
% 39.24/25.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 39.24/25.68 tff(7755,plain,
% 39.24/25.68 ((~v127(constB57, bitIndex1)) | v130(constB57, bitIndex1)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7754, 527, 7250])).
% 39.24/25.68 tff(7756,plain,
% 39.24/25.68 (~v127(constB57, bitIndex1)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7755, 7748])).
% 39.24/25.68 tff(7757,plain,
% 39.24/25.68 (((~![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)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7758,plain,
% 39.24/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7759,plain,
% 39.24/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7758, 7757])).
% 39.24/25.68 tff(7760,plain,
% 39.24/25.68 (v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7759, 545, 7208])).
% 39.24/25.68 tff(7761,plain,
% 39.24/25.68 (~v129(constB58, bitIndex1)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7760, 7756])).
% 39.24/25.68 tff(7762,plain,
% 39.24/25.68 (((~![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)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7763,plain,
% 39.24/25.68 (((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7764,plain,
% 39.24/25.68 (((~![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))))),
% 39.24/25.68 inference(monotonicity,[status(thm)],[7763])).
% 39.24/25.68 tff(7765,plain,
% 39.24/25.68 (((~![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)))),
% 39.24/25.68 inference(transitivity,[status(thm)],[7764, 7762])).
% 39.24/25.68 tff(7766,plain,
% 39.24/25.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7767,plain,
% 39.24/25.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7766, 7765])).
% 39.24/25.68 tff(7768,plain,
% 39.24/25.68 ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7767, 560, 7733])).
% 39.24/25.68 tff(7769,plain,
% 39.24/25.68 (~v90(constB58, bitIndex1)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7768, 7761])).
% 39.24/25.68 tff(7770,plain,
% 39.24/25.68 (((~![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)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7771,plain,
% 39.24/25.68 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7772,plain,
% 39.24/25.68 (((~![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))))),
% 39.24/25.68 inference(monotonicity,[status(thm)],[7771])).
% 39.24/25.68 tff(7773,plain,
% 39.24/25.68 (((~![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)))),
% 39.24/25.68 inference(transitivity,[status(thm)],[7772, 7770])).
% 39.24/25.68 tff(7774,plain,
% 39.24/25.68 ((~![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)))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7775,plain,
% 39.24/25.68 ((~![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))),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7774, 7773])).
% 39.24/25.68 tff(7776,plain,
% 39.24/25.68 (v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7775, 186, 7692])).
% 39.24/25.68 tff(7777,plain,
% 39.24/25.68 (v90(constB58, bitIndex1) | (~v90(constB59, bitIndex1))),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7776, 7704])).
% 39.24/25.68 tff(7778,plain,
% 39.24/25.68 (~v90(constB59, bitIndex1)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7777, 7769])).
% 39.24/25.68 tff(7779,plain,
% 39.24/25.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB57)) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB57)) | v130(constB57, bitIndex0))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7780,plain,
% 39.24/25.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB57)) | v130(constB57, bitIndex0))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7781,plain,
% 39.24/25.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB57)) | v130(constB57, bitIndex0)),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7780, 7779])).
% 39.24/25.68 tff(7782,plain,
% 39.24/25.68 (v130(constB57, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7781, 2258, 7726])).
% 39.24/25.68 tff(7783,plain,
% 39.24/25.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7784,plain,
% 39.24/25.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7785,plain,
% 39.24/25.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7784, 7783])).
% 39.24/25.68 tff(7786,plain,
% 39.24/25.68 ((~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7785, 601, 7250])).
% 39.24/25.68 tff(7787,plain,
% 39.24/25.68 (v127(constB57, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7786, 7782])).
% 39.24/25.68 tff(7788,plain,
% 39.24/25.68 (((~![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))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7789,plain,
% 39.24/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7790,plain,
% 39.24/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7789, 7788])).
% 39.24/25.68 tff(7791,plain,
% 39.24/25.68 ((~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7790, 616, 7208])).
% 39.24/25.68 tff(7792,plain,
% 39.24/25.68 (v129(constB58, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7791, 7787])).
% 39.24/25.68 tff(7793,plain,
% 39.24/25.68 (((~![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)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7794,plain,
% 39.24/25.68 ((v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7795,plain,
% 39.24/25.68 (((~![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))))),
% 39.24/25.68 inference(monotonicity,[status(thm)],[7794])).
% 39.24/25.68 tff(7796,plain,
% 39.24/25.68 (((~![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)))),
% 39.24/25.68 inference(transitivity,[status(thm)],[7795, 7793])).
% 39.24/25.68 tff(7797,plain,
% 39.24/25.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7798,plain,
% 39.24/25.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7797, 7796])).
% 39.24/25.68 tff(7799,plain,
% 39.24/25.68 (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0))),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7798, 631, 7733])).
% 39.24/25.68 tff(7800,plain,
% 39.24/25.68 (v90(constB58, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7799, 7792])).
% 39.24/25.68 tff(7801,plain,
% 39.24/25.68 (((~![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))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7802,plain,
% 39.24/25.68 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0)) <=> ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7803,plain,
% 39.24/25.68 (((~![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)))),
% 39.24/25.68 inference(monotonicity,[status(thm)],[7802])).
% 39.24/25.68 tff(7804,plain,
% 39.24/25.68 (((~![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))),
% 39.24/25.68 inference(transitivity,[status(thm)],[7803, 7801])).
% 39.24/25.68 tff(7805,plain,
% 39.24/25.68 ((~![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))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7806,plain,
% 39.24/25.68 ((~![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)),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7805, 7804])).
% 39.24/25.68 tff(7807,plain,
% 39.24/25.68 ((~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7806, 649, 7692])).
% 39.24/25.68 tff(7808,plain,
% 39.24/25.68 ((~v90(constB58, bitIndex0)) | v90(constB59, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7807, 7704])).
% 39.24/25.68 tff(7809,plain,
% 39.24/25.68 (v90(constB59, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7808, 7800])).
% 39.24/25.68 tff(7810,plain,
% 39.24/25.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7811,plain,
% 39.24/25.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7812,plain,
% 39.24/25.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59)),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 39.24/25.68 tff(7813,plain,
% 39.24/25.68 ($false),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7812, 1264, 7809, 7778, 7744, 7725])).
% 39.24/25.68 tff(7814,plain,((~v123(constB57)) | v124(constB59) | (~v100(constB58))), inference(lemma,lemma(discharge,[]))).
% 39.24/25.68 tff(7815,plain,
% 39.24/25.68 (~v123(constB57)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7814, 7724, 7338])).
% 39.24/25.68 tff(7816,plain,
% 39.24/25.68 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7817,plain,
% 39.24/25.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7818,plain,
% 39.24/25.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57)),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7817, 7816])).
% 39.24/25.68 tff(7819,plain,
% 39.24/25.68 (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2))),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7818, 1280, 7815])).
% 39.24/25.68 tff(7820,plain,
% 39.24/25.68 ($false),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7819, 7686, 7652, 7618])).
% 39.24/25.68 tff(7821,plain,(v90(constB58, bitIndex2) | v120(constB55) | v119(constB55) | v90(constB55, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 39.24/25.68 tff(7822,plain,
% 39.24/25.68 (v90(constB58, bitIndex2)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7821, 7270, 7269, 7268])).
% 39.24/25.68 tff(7823,plain,
% 39.24/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7824,plain,
% 39.24/25.68 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2))) <=> (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7825,plain,
% 39.24/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2))))),
% 39.24/25.68 inference(monotonicity,[status(thm)],[7824])).
% 39.24/25.68 tff(7826,plain,
% 39.24/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 39.24/25.68 inference(transitivity,[status(thm)],[7825, 7823])).
% 39.24/25.68 tff(7827,plain,
% 39.24/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7828,plain,
% 39.24/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2))),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7827, 7826])).
% 39.24/25.68 tff(7829,plain,
% 39.24/25.68 (v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2))),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7828, 165, 7208])).
% 39.24/25.68 tff(7830,plain,
% 39.24/25.68 (v90(constB57, bitIndex2)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7829, 7202, 7822])).
% 39.24/25.68 tff(7831,plain,
% 39.24/25.68 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB57, bitIndex2)) | (~v122(constB57)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB57, bitIndex2)) | (~v122(constB57)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7832,plain,
% 39.24/25.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB57, bitIndex2)) | (~v122(constB57)))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7833,plain,
% 39.24/25.68 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB57, bitIndex2)) | (~v122(constB57))),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7832, 7831])).
% 39.24/25.68 tff(7834,plain,
% 39.24/25.68 (~v122(constB57)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7833, 3526, 7830])).
% 39.24/25.68 tff(7835,plain,
% 39.24/25.68 (~v121(constB55)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7545, 7834])).
% 39.24/25.68 tff(7836,plain,
% 39.24/25.68 (v122(constB55)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7575, 7835, 7268, 7269, 7270])).
% 39.24/25.68 tff(7837,plain,
% 39.24/25.68 (~v130(constB55, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7621, 1486, 7836])).
% 39.24/25.68 tff(7838,plain,
% 39.24/25.68 (~v127(constB55, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7629, 7837])).
% 39.24/25.68 tff(7839,plain,
% 39.24/25.68 (~v129(constB56, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7634, 7838])).
% 39.24/25.68 tff(7840,plain,
% 39.24/25.68 (v90(constB56, bitIndex2)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7478, 7830])).
% 39.24/25.68 tff(7841,plain,
% 39.24/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7842,plain,
% 39.24/25.68 (((~nextState(constB55, constB56)) | v90(constB55, bitIndex2) | v100(constB56) | (~v90(constB56, bitIndex2))) <=> (v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7843,plain,
% 39.24/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v90(constB55, bitIndex2) | v100(constB56) | (~v90(constB56, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2))))),
% 39.24/25.68 inference(monotonicity,[status(thm)],[7842])).
% 39.24/25.68 tff(7844,plain,
% 39.24/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v90(constB55, bitIndex2) | v100(constB56) | (~v90(constB56, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2)))),
% 39.24/25.68 inference(transitivity,[status(thm)],[7843, 7841])).
% 39.24/25.68 tff(7845,plain,
% 39.24/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v90(constB55, bitIndex2) | v100(constB56) | (~v90(constB56, bitIndex2)))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7846,plain,
% 39.24/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB55, bitIndex2) | (~nextState(constB55, constB56)) | v100(constB56) | (~v90(constB56, bitIndex2))),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7845, 7844])).
% 39.24/25.68 tff(7847,plain,
% 39.24/25.68 (v90(constB55, bitIndex2) | v100(constB56) | (~v90(constB56, bitIndex2))),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7846, 165, 7396])).
% 39.24/25.68 tff(7848,plain,
% 39.24/25.68 (v100(constB56)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7847, 7840, 7270])).
% 39.24/25.68 tff(7849,plain,
% 39.24/25.68 ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7641, 977, 7848])).
% 39.24/25.68 tff(7850,plain,
% 39.24/25.68 (~v90(constB56, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7849, 7839])).
% 39.24/25.68 tff(7851,plain,
% 39.24/25.68 (~v90(constB57, bitIndex0)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7651, 7850])).
% 39.24/25.68 tff(7852,assumption,(~v123(constB57)), introduced(assumption)).
% 39.24/25.68 tff(7853,assumption,(~v125(constB57)), introduced(assumption)).
% 39.24/25.68 tff(7854,assumption,(v90(constB57, bitIndex2)), introduced(assumption)).
% 39.24/25.68 tff(7855,plain,
% 39.24/25.68 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | (~v90(constB57, bitIndex2)) | v125(constB57))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | (~v90(constB57, bitIndex2)) | v125(constB57))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7856,plain,
% 39.24/25.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | (~v90(constB57, bitIndex2)) | v125(constB57))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7857,plain,
% 39.24/25.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | (~v90(constB57, bitIndex2)) | v125(constB57)),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7856, 7855])).
% 39.24/25.68 tff(7858,plain,
% 39.24/25.68 (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v125(constB57)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7857, 1308, 7854])).
% 39.24/25.68 tff(7859,plain,
% 39.24/25.68 (~v90(constB57, bitIndex1)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7858, 7305, 7853])).
% 39.24/25.68 tff(7860,plain,
% 39.24/25.68 (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v123(constB57)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7818, 1280, 7854])).
% 39.24/25.68 tff(7861,plain,
% 39.24/25.68 ($false),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7860, 7859, 7305, 7852])).
% 39.24/25.68 tff(7862,plain,(v90(constB57, bitIndex0) | v123(constB57) | (~v90(constB57, bitIndex2)) | v125(constB57)), inference(lemma,lemma(discharge,[]))).
% 39.24/25.68 tff(7863,plain,
% 39.24/25.68 (v123(constB57)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7862, 7851, 7830, 7267])).
% 39.24/25.68 tff(7864,plain,
% 39.24/25.68 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB57) | (~v123(constB57)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB57) | (~v123(constB57)))),
% 39.24/25.68 inference(rewrite,[status(thm)],[])).
% 39.24/25.68 tff(7865,plain,
% 39.24/25.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB57) | (~v123(constB57)))),
% 39.24/25.68 inference(quant_inst,[status(thm)],[])).
% 39.24/25.68 tff(7866,plain,
% 39.24/25.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB57) | (~v123(constB57))),
% 39.24/25.68 inference(modus_ponens,[status(thm)],[7865, 7864])).
% 39.24/25.68 tff(7867,plain,
% 39.24/25.68 ($false),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7866, 1247, 7863, 7263])).
% 39.24/25.68 tff(7868,plain,(v100(constB58) | v120(constB55) | v119(constB55) | v90(constB55, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 39.24/25.68 tff(7869,plain,
% 39.24/25.68 (v100(constB58)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7868, 7201, 7166, 7132])).
% 39.24/25.68 tff(7870,plain,
% 39.24/25.68 (v122(constB55)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7564, 1184, 7121, 7197, 7166])).
% 39.24/25.68 tff(7871,plain,
% 39.24/25.68 (v116(constB55)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7579, 1149, 7870])).
% 39.24/25.68 tff(7872,plain,
% 39.24/25.68 (v115(constB55)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7371, 272, 7871])).
% 39.24/25.68 tff(7873,plain,
% 39.24/25.68 (v114(constB55)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7375, 283, 7872])).
% 39.24/25.68 tff(7874,plain,
% 39.24/25.68 (v113(constB55)),
% 39.24/25.68 inference(unit_resolution,[status(thm)],[7379, 294, 7873])).
% 39.24/25.69 tff(7875,plain,
% 39.24/25.69 (v112(constB55)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7388, 7874])).
% 39.24/25.69 tff(7876,plain,
% 39.24/25.69 (v108(constB55)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7392, 320, 7875])).
% 39.24/25.69 tff(7877,plain,
% 39.24/25.69 (v110(constB56)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7403, 7876])).
% 39.24/25.69 tff(7878,plain,
% 39.24/25.69 (v100(constB56)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7429, 7877])).
% 39.24/25.69 tff(7879,plain,
% 39.24/25.69 (v130(constB55, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7590, 1803, 7870])).
% 39.24/25.69 tff(7880,plain,
% 39.24/25.69 (v127(constB55, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7595, 7879])).
% 39.24/25.69 tff(7881,plain,
% 39.24/25.69 (v129(constB56, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7600, 7880])).
% 39.24/25.69 tff(7882,plain,
% 39.24/25.69 (v90(constB56, bitIndex2) | (~v100(constB56))),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7607, 2100, 7881])).
% 39.24/25.69 tff(7883,plain,
% 39.24/25.69 (v90(constB56, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7882, 7878])).
% 39.24/25.69 tff(7884,plain,
% 39.24/25.69 (v90(constB57, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7617, 7883])).
% 39.24/25.69 tff(7885,plain,
% 39.24/25.69 (~v130(constB55, bitIndex1)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7655, 2137, 7870])).
% 39.24/25.69 tff(7886,plain,
% 39.24/25.69 (~v127(constB55, bitIndex1)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7663, 7885])).
% 39.24/25.69 tff(7887,plain,
% 39.24/25.69 (~v129(constB56, bitIndex1)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7668, 7886])).
% 39.24/25.69 tff(7888,plain,
% 39.24/25.69 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7675, 560, 7887])).
% 39.24/25.69 tff(7889,plain,
% 39.24/25.69 (~v90(constB56, bitIndex1)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7888, 7878])).
% 39.24/25.69 tff(7890,plain,
% 39.24/25.69 (~v90(constB57, bitIndex1)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7685, 7889])).
% 39.24/25.69 tff(7891,plain,
% 39.24/25.69 (~v130(constB55, bitIndex0)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7621, 1486, 7870])).
% 39.24/25.69 tff(7892,plain,
% 39.24/25.69 (~v127(constB55, bitIndex0)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7629, 7891])).
% 39.24/25.69 tff(7893,plain,
% 39.24/25.69 (~v129(constB56, bitIndex0)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7634, 7892])).
% 39.24/25.69 tff(7894,plain,
% 39.24/25.69 ((~v90(constB56, bitIndex0)) | (~v100(constB56))),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7641, 977, 7893])).
% 39.24/25.69 tff(7895,plain,
% 39.24/25.69 (~v90(constB56, bitIndex0)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7894, 7878])).
% 39.24/25.69 tff(7896,plain,
% 39.24/25.69 (~v90(constB57, bitIndex0)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7651, 7895])).
% 39.24/25.69 tff(7897,plain,
% 39.24/25.69 (v123(constB57)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7818, 1280, 7896, 7890, 7884])).
% 39.24/25.69 tff(7898,plain,
% 39.24/25.69 (v124(constB59)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7814, 7897, 7869])).
% 39.24/25.69 tff(7899,plain,
% 39.24/25.69 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB59) | (~v124(constB59)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB59) | (~v124(constB59)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7900,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB59) | (~v124(constB59)))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7901,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB59) | (~v124(constB59))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7900, 7899])).
% 39.24/25.69 tff(7902,plain,
% 39.24/25.69 (v114(constB59)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7901, 1236, 7898])).
% 39.24/25.69 tff(7903,plain,
% 39.24/25.69 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7904,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7905,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7904, 7903])).
% 39.24/25.69 tff(7906,plain,
% 39.24/25.69 (v113(constB59)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7905, 294, 7902])).
% 39.24/25.69 tff(7907,assumption,(v26(constB59)), introduced(assumption)).
% 39.24/25.69 tff(7908,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7909,plain,
% 39.24/25.69 ($false),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7908, 86, 7907])).
% 39.24/25.69 tff(7910,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 39.24/25.69 tff(7911,plain,
% 39.24/25.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7912,plain,
% 39.24/25.69 ((v26(constB59) | (~v113(constB59)) | v112(constB59)) <=> (v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7913,plain,
% 39.24/25.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59))))),
% 39.24/25.69 inference(monotonicity,[status(thm)],[7912])).
% 39.24/25.69 tff(7914,plain,
% 39.24/25.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 39.24/25.69 inference(transitivity,[status(thm)],[7913, 7911])).
% 39.24/25.69 tff(7915,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7916,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7915, 7914])).
% 39.24/25.69 tff(7917,plain,
% 39.24/25.69 (v112(constB59) | (~v113(constB59))),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7916, 308, 7910])).
% 39.24/25.69 tff(7918,plain,
% 39.24/25.69 (v112(constB59)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7917, 7906])).
% 39.24/25.69 tff(7919,plain,
% 39.24/25.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7920,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7921,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7920, 7919])).
% 39.24/25.69 tff(7922,plain,
% 39.24/25.69 (v108(constB59)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7921, 320, 7918])).
% 39.24/25.69 tff(7923,plain,
% 39.24/25.69 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7924,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 39.24/25.69 tff(7925,plain,
% 39.24/25.69 (nextState(constB59, constB60)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7924, 7923])).
% 39.24/25.69 tff(7926,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7927,plain,
% 39.24/25.69 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7928,plain,
% 39.24/25.69 (((~![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))))),
% 39.24/25.69 inference(monotonicity,[status(thm)],[7927])).
% 39.24/25.69 tff(7929,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(transitivity,[status(thm)],[7928, 7926])).
% 39.24/25.69 tff(7930,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7931,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7930, 7929])).
% 39.24/25.69 tff(7932,plain,
% 39.24/25.69 (v110(constB60) | (~v108(constB59))),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7931, 337, 7925])).
% 39.24/25.69 tff(7933,plain,
% 39.24/25.69 (v110(constB60)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7932, 7922])).
% 39.24/25.69 tff(7934,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7935,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7936,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7935, 7934])).
% 39.24/25.69 tff(7937,plain,
% 39.24/25.69 (~v104(constB60)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7936, 355, 7925, 7689])).
% 39.24/25.69 tff(7938,plain,
% 39.24/25.69 (((~![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))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7939,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7940,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7939, 7938])).
% 39.24/25.69 tff(7941,plain,
% 39.24/25.69 (v102(constB60) | v104(constB60)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7940, 369, 7925])).
% 39.24/25.69 tff(7942,plain,
% 39.24/25.69 (v102(constB60)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7941, 7937])).
% 39.24/25.69 tff(7943,plain,
% 39.24/25.69 (v1(constB60) <=> v1(constB60)),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7944,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 39.24/25.69 tff(7945,plain,
% 39.24/25.69 (v1(constB60)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7944, 7943])).
% 39.24/25.69 tff(7946,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7947,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7948,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7947, 7946])).
% 39.24/25.69 tff(7949,plain,
% 39.24/25.69 (v101(constB60) | (~v102(constB60))),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7948, 387, 7925, 7945])).
% 39.24/25.69 tff(7950,plain,
% 39.24/25.69 (v101(constB60)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7949, 7942])).
% 39.24/25.69 tff(7951,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7952,plain,
% 39.24/25.69 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7953,plain,
% 39.24/25.69 (((~![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))))),
% 39.24/25.69 inference(monotonicity,[status(thm)],[7952])).
% 39.24/25.69 tff(7954,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(transitivity,[status(thm)],[7953, 7951])).
% 39.24/25.69 tff(7955,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7956,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7955, 7954])).
% 39.24/25.69 tff(7957,plain,
% 39.24/25.69 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7956, 402, 7925])).
% 39.24/25.69 tff(7958,plain,
% 39.24/25.69 (v100(constB60) | (~v110(constB60))),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7957, 7950])).
% 39.24/25.69 tff(7959,plain,
% 39.24/25.69 (v100(constB60)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7958, 7933])).
% 39.24/25.69 tff(7960,plain,
% 39.24/25.69 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB59)) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB59)) | v130(constB59, bitIndex2))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7961,plain,
% 39.24/25.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB59)) | v130(constB59, bitIndex2))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7962,plain,
% 39.24/25.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB59)) | v130(constB59, bitIndex2)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 39.24/25.69 tff(7963,plain,
% 39.24/25.69 (v130(constB59, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7962, 2303, 7898])).
% 39.24/25.69 tff(7964,plain,
% 39.24/25.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7965,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7966,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 39.24/25.69 tff(7967,plain,
% 39.24/25.69 ((~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7966, 1821, 7910])).
% 39.24/25.69 tff(7968,plain,
% 39.24/25.69 (v127(constB59, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7967, 7963])).
% 39.24/25.69 tff(7969,plain,
% 39.24/25.69 (((~![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))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7970,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7971,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7970, 7969])).
% 39.24/25.69 tff(7972,plain,
% 39.24/25.69 ((~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7971, 1836, 7925])).
% 39.24/25.69 tff(7973,plain,
% 39.24/25.69 (v129(constB60, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7972, 7968])).
% 39.24/25.69 tff(7974,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7975,plain,
% 39.24/25.69 ((v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7976,plain,
% 39.24/25.69 (((~![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))))),
% 39.24/25.69 inference(monotonicity,[status(thm)],[7975])).
% 39.24/25.69 tff(7977,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(transitivity,[status(thm)],[7976, 7974])).
% 39.24/25.69 tff(7978,plain,
% 39.24/25.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7979,plain,
% 39.24/25.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7978, 7977])).
% 39.24/25.69 tff(7980,plain,
% 39.24/25.69 (v90(constB60, bitIndex2) | (~v100(constB60))),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7979, 2100, 7973])).
% 39.24/25.69 tff(7981,plain,
% 39.24/25.69 (v90(constB60, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7980, 7959])).
% 39.24/25.69 tff(7982,plain,
% 39.24/25.69 ((~v1(constB61)) <=> (~v1(constB61))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7983,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 39.24/25.69 tff(7984,plain,
% 39.24/25.69 (~v1(constB61)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7983, 7982])).
% 39.24/25.69 tff(7985,plain,
% 39.24/25.69 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7986,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 39.24/25.69 tff(7987,plain,
% 39.24/25.69 (nextState(constB60, constB61)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7986, 7985])).
% 39.24/25.69 tff(7988,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7989,plain,
% 39.24/25.69 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7990,plain,
% 39.24/25.69 (((~![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))))),
% 39.24/25.69 inference(monotonicity,[status(thm)],[7989])).
% 39.24/25.69 tff(7991,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(transitivity,[status(thm)],[7990, 7988])).
% 39.24/25.69 tff(7992,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7993,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7992, 7991])).
% 39.24/25.69 tff(7994,plain,
% 39.24/25.69 (~v101(constB61)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7993, 133, 7987, 7984])).
% 39.24/25.69 tff(7995,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(7996,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(7997,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[7996, 7995])).
% 39.24/25.69 tff(7998,plain,
% 39.24/25.69 (v101(constB61) | (~v100(constB61))),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7997, 150, 7987])).
% 39.24/25.69 tff(7999,plain,
% 39.24/25.69 (~v100(constB61)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[7998, 7994])).
% 39.24/25.69 tff(8000,plain,
% 39.24/25.69 (((~![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))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(8001,plain,
% 39.24/25.69 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)) <=> ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(8002,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(monotonicity,[status(thm)],[8001])).
% 39.24/25.69 tff(8003,plain,
% 39.24/25.69 (((~![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))),
% 39.24/25.69 inference(transitivity,[status(thm)],[8002, 8000])).
% 39.24/25.69 tff(8004,plain,
% 39.24/25.69 ((~![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))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(8005,plain,
% 39.24/25.69 ((~![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)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[8004, 8003])).
% 39.24/25.69 tff(8006,plain,
% 39.24/25.69 ((~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[8005, 2118, 7987])).
% 39.24/25.69 tff(8007,plain,
% 39.24/25.69 ((~v90(constB60, bitIndex2)) | v90(constB61, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[8006, 7999])).
% 39.24/25.69 tff(8008,plain,
% 39.24/25.69 (v90(constB61, bitIndex2)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[8007, 7981])).
% 39.24/25.69 tff(8009,plain,
% 39.24/25.69 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB59)) | v130(constB59, bitIndex1))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(8010,plain,
% 39.24/25.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB59)) | v130(constB59, bitIndex1))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(8011,plain,
% 39.24/25.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB59)) | v130(constB59, bitIndex1)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[8010, 8009])).
% 39.24/25.69 tff(8012,plain,
% 39.24/25.69 (v130(constB59, bitIndex1)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[8011, 2347, 7898])).
% 39.24/25.69 tff(8013,plain,
% 39.24/25.69 (((~![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))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(8014,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(8015,plain,
% 39.24/25.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[8014, 8013])).
% 39.24/25.69 tff(8016,plain,
% 39.24/25.69 ((~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[8015, 882, 7910])).
% 39.24/25.69 tff(8017,plain,
% 39.24/25.69 (v127(constB59, bitIndex1)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[8016, 8012])).
% 39.24/25.69 tff(8018,plain,
% 39.24/25.69 (((~![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))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(8019,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 39.24/25.69 inference(quant_inst,[status(thm)],[])).
% 39.24/25.69 tff(8020,plain,
% 39.24/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 39.24/25.69 inference(modus_ponens,[status(thm)],[8019, 8018])).
% 39.24/25.69 tff(8021,plain,
% 39.24/25.69 ((~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[8020, 897, 7925])).
% 39.24/25.69 tff(8022,plain,
% 39.24/25.69 (v129(constB60, bitIndex1)),
% 39.24/25.69 inference(unit_resolution,[status(thm)],[8021, 8017])).
% 39.24/25.69 tff(8023,plain,
% 39.24/25.69 (((~![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)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(8024,plain,
% 39.24/25.69 ((v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 39.24/25.69 inference(rewrite,[status(thm)],[])).
% 39.24/25.69 tff(8025,plain,
% 39.24/25.69 (((~![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))))),
% 39.24/25.69 inference(monotonicity,[status(thm)],[8024])).
% 39.26/25.70 tff(8026,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(transitivity,[status(thm)],[8025, 8023])).
% 39.26/25.70 tff(8027,plain,
% 39.26/25.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8028,plain,
% 39.26/25.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8027, 8026])).
% 39.26/25.70 tff(8029,plain,
% 39.26/25.70 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8028, 912, 8022])).
% 39.26/25.70 tff(8030,plain,
% 39.26/25.70 (v90(constB60, bitIndex1)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8029, 7959])).
% 39.26/25.70 tff(8031,plain,
% 39.26/25.70 (((~![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))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8032,plain,
% 39.26/25.70 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8033,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(monotonicity,[status(thm)],[8032])).
% 39.26/25.70 tff(8034,plain,
% 39.26/25.70 (((~![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))),
% 39.26/25.70 inference(transitivity,[status(thm)],[8033, 8031])).
% 39.26/25.70 tff(8035,plain,
% 39.26/25.70 ((~![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))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8036,plain,
% 39.26/25.70 ((~![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)),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8035, 8034])).
% 39.26/25.70 tff(8037,plain,
% 39.26/25.70 ((~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8036, 1049, 7987])).
% 39.26/25.70 tff(8038,plain,
% 39.26/25.70 ((~v90(constB60, bitIndex1)) | v90(constB61, bitIndex1)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8037, 7999])).
% 39.26/25.70 tff(8039,plain,
% 39.26/25.70 (v90(constB61, bitIndex1)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8038, 8030])).
% 39.26/25.70 tff(8040,plain,
% 39.26/25.70 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB59)) | (~v130(constB59, bitIndex0)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8041,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex0)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8042,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB59)) | (~v130(constB59, bitIndex0))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8041, 8040])).
% 39.26/25.70 tff(8043,plain,
% 39.26/25.70 (~v130(constB59, bitIndex0)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8042, 1519, 7898])).
% 39.26/25.70 tff(8044,plain,
% 39.26/25.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8045,plain,
% 39.26/25.70 ((v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0))) <=> ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8046,plain,
% 39.26/25.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)))),
% 39.26/25.70 inference(monotonicity,[status(thm)],[8045])).
% 39.26/25.70 tff(8047,plain,
% 39.26/25.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 39.26/25.70 inference(transitivity,[status(thm)],[8046, 8044])).
% 39.26/25.70 tff(8048,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8049,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8048, 8047])).
% 39.26/25.70 tff(8050,plain,
% 39.26/25.70 ((~v127(constB59, bitIndex0)) | v130(constB59, bitIndex0)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8049, 944, 7910])).
% 39.26/25.70 tff(8051,plain,
% 39.26/25.70 (~v127(constB59, bitIndex0)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8050, 8043])).
% 39.26/25.70 tff(8052,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8053,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8054,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8053, 8052])).
% 39.26/25.70 tff(8055,plain,
% 39.26/25.70 (v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8054, 962, 7925])).
% 39.26/25.70 tff(8056,plain,
% 39.26/25.70 (~v129(constB60, bitIndex0)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8055, 8051])).
% 39.26/25.70 tff(8057,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8058,plain,
% 39.26/25.70 (((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8059,plain,
% 39.26/25.70 (((~![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))))),
% 39.26/25.70 inference(monotonicity,[status(thm)],[8058])).
% 39.26/25.70 tff(8060,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(transitivity,[status(thm)],[8059, 8057])).
% 39.26/25.70 tff(8061,plain,
% 39.26/25.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8062,plain,
% 39.26/25.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8061, 8060])).
% 39.26/25.70 tff(8063,plain,
% 39.26/25.70 ((~v90(constB60, bitIndex0)) | (~v100(constB60))),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8062, 977, 8056])).
% 39.26/25.70 tff(8064,plain,
% 39.26/25.70 (~v90(constB60, bitIndex0)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8063, 7959])).
% 39.26/25.70 tff(8065,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8066,plain,
% 39.26/25.70 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8067,plain,
% 39.26/25.70 (((~![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))))),
% 39.26/25.70 inference(monotonicity,[status(thm)],[8066])).
% 39.26/25.70 tff(8068,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(transitivity,[status(thm)],[8067, 8065])).
% 39.26/25.70 tff(8069,plain,
% 39.26/25.70 ((~![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)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8070,plain,
% 39.26/25.70 ((~![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))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 39.26/25.70 tff(8071,plain,
% 39.26/25.70 (v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8070, 207, 7987])).
% 39.26/25.70 tff(8072,plain,
% 39.26/25.70 (v90(constB60, bitIndex0) | (~v90(constB61, bitIndex0))),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8071, 7999])).
% 39.26/25.70 tff(8073,plain,
% 39.26/25.70 (~v90(constB61, bitIndex0)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8072, 8064])).
% 39.26/25.70 tff(8074,plain,
% 39.26/25.70 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8075,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8076,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61)),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8075, 8074])).
% 39.26/25.70 tff(8077,plain,
% 39.26/25.70 (v125(constB61)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8076, 1308, 8073, 8039, 8008])).
% 39.26/25.70 tff(8078,plain,
% 39.26/25.70 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB61) | (~v125(constB61)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB61) | (~v125(constB61)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8079,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB61) | (~v125(constB61)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8080,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB61) | (~v125(constB61))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8079, 8078])).
% 39.26/25.70 tff(8081,plain,
% 39.26/25.70 (v113(constB61)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8080, 1294, 8077])).
% 39.26/25.70 tff(8082,assumption,(v26(constB61)), introduced(assumption)).
% 39.26/25.70 tff(8083,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8084,plain,
% 39.26/25.70 ($false),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8083, 86, 8082])).
% 39.26/25.70 tff(8085,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 39.26/25.70 tff(8086,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8087,plain,
% 39.26/25.70 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8088,plain,
% 39.26/25.70 (((~![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))))),
% 39.26/25.70 inference(monotonicity,[status(thm)],[8087])).
% 39.26/25.70 tff(8089,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(transitivity,[status(thm)],[8088, 8086])).
% 39.26/25.70 tff(8090,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8091,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 39.26/25.70 tff(8092,plain,
% 39.26/25.70 (v112(constB61) | (~v113(constB61))),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8091, 308, 8085])).
% 39.26/25.70 tff(8093,plain,
% 39.26/25.70 (v112(constB61)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8092, 8081])).
% 39.26/25.70 tff(8094,plain,
% 39.26/25.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8095,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8096,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 39.26/25.70 tff(8097,plain,
% 39.26/25.70 (v108(constB61)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8096, 320, 8093])).
% 39.26/25.70 tff(8098,plain,
% 39.26/25.70 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8099,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 39.26/25.70 tff(8100,plain,
% 39.26/25.70 (nextState(constB61, constB62)),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 39.26/25.70 tff(8101,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8102,plain,
% 39.26/25.70 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8103,plain,
% 39.26/25.70 (((~![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))))),
% 39.26/25.70 inference(monotonicity,[status(thm)],[8102])).
% 39.26/25.70 tff(8104,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(transitivity,[status(thm)],[8103, 8101])).
% 39.26/25.70 tff(8105,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8106,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8105, 8104])).
% 39.26/25.70 tff(8107,plain,
% 39.26/25.70 (v110(constB62) | (~v108(constB61))),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8106, 337, 8100])).
% 39.26/25.70 tff(8108,plain,
% 39.26/25.70 (v110(constB62)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8107, 8097])).
% 39.26/25.70 tff(8109,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8110,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8111,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8110, 8109])).
% 39.26/25.70 tff(8112,plain,
% 39.26/25.70 (~v104(constB62)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8111, 355, 8100, 7984])).
% 39.26/25.70 tff(8113,plain,
% 39.26/25.70 (((~![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))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8114,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8115,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8114, 8113])).
% 39.26/25.70 tff(8116,plain,
% 39.26/25.70 (v102(constB62) | v104(constB62)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8115, 369, 8100])).
% 39.26/25.70 tff(8117,plain,
% 39.26/25.70 (v102(constB62)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8116, 8112])).
% 39.26/25.70 tff(8118,plain,
% 39.26/25.70 (v1(constB62) <=> v1(constB62)),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8119,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 39.26/25.70 tff(8120,plain,
% 39.26/25.70 (v1(constB62)),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8119, 8118])).
% 39.26/25.70 tff(8121,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8122,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8123,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8122, 8121])).
% 39.26/25.70 tff(8124,plain,
% 39.26/25.70 (v101(constB62) | (~v102(constB62))),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8123, 387, 8100, 8120])).
% 39.26/25.70 tff(8125,plain,
% 39.26/25.70 (v101(constB62)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8124, 8117])).
% 39.26/25.70 tff(8126,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8127,plain,
% 39.26/25.70 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8128,plain,
% 39.26/25.70 (((~![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))))),
% 39.26/25.70 inference(monotonicity,[status(thm)],[8127])).
% 39.26/25.70 tff(8129,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(transitivity,[status(thm)],[8128, 8126])).
% 39.26/25.70 tff(8130,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8131,plain,
% 39.26/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8130, 8129])).
% 39.26/25.70 tff(8132,plain,
% 39.26/25.70 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8131, 402, 8100])).
% 39.26/25.70 tff(8133,plain,
% 39.26/25.70 (v100(constB62) | (~v110(constB62))),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8132, 8125])).
% 39.26/25.70 tff(8134,plain,
% 39.26/25.70 (v100(constB62)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8133, 8108])).
% 39.26/25.70 tff(8135,plain,
% 39.26/25.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v122(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v122(constB61)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8136,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v122(constB61)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8137,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v122(constB61))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8136, 8135])).
% 39.26/25.70 tff(8138,plain,
% 39.26/25.70 (~v122(constB61)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8137, 3526, 8008])).
% 39.26/25.70 tff(8139,plain,
% 39.26/25.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v124(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v124(constB61)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8140,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v124(constB61)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8141,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v124(constB61))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8140, 8139])).
% 39.26/25.70 tff(8142,plain,
% 39.26/25.70 (~v124(constB61)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8141, 2637, 8039])).
% 39.26/25.70 tff(8143,plain,
% 39.26/25.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v123(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v123(constB61)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8144,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v123(constB61)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8145,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v123(constB61))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8144, 8143])).
% 39.26/25.70 tff(8146,plain,
% 39.26/25.70 (~v123(constB61)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8145, 2626, 8039])).
% 39.26/25.70 tff(8147,plain,
% 39.26/25.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v121(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v121(constB61)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8148,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v121(constB61)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8149,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v121(constB61))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8148, 8147])).
% 39.26/25.70 tff(8150,plain,
% 39.26/25.70 (~v121(constB61)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8149, 2586, 8008])).
% 39.26/25.70 tff(8151,plain,
% 39.26/25.70 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v90(constB61, bitIndex1)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8152,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex1)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8153,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v90(constB61, bitIndex1))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8152, 8151])).
% 39.26/25.70 tff(8154,plain,
% 39.26/25.70 (~v119(constB61)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8153, 2604, 8039])).
% 39.26/25.70 tff(8155,plain,
% 39.26/25.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v120(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v120(constB61)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8156,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v120(constB61)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8157,plain,
% 39.26/25.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v120(constB61))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8156, 8155])).
% 39.26/25.70 tff(8158,plain,
% 39.26/25.70 (~v120(constB61)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8157, 2615, 8039])).
% 39.26/25.70 tff(8159,plain,
% 39.26/25.70 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8160,plain,
% 39.26/25.70 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1))) <=> (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8161,plain,
% 39.26/25.70 (((~![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)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1))))),
% 39.26/25.70 inference(monotonicity,[status(thm)],[8160])).
% 39.26/25.70 tff(8162,plain,
% 39.26/25.70 (((~![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)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1)))),
% 39.26/25.70 inference(transitivity,[status(thm)],[8161, 8159])).
% 39.26/25.70 tff(8163,plain,
% 39.26/25.70 ((~![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)))),
% 39.26/25.70 inference(quant_inst,[status(thm)],[])).
% 39.26/25.70 tff(8164,plain,
% 39.26/25.70 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1))),
% 39.26/25.70 inference(modus_ponens,[status(thm)],[8163, 8162])).
% 39.26/25.70 tff(8165,plain,
% 39.26/25.70 (~v130(constB61, bitIndex1)),
% 39.26/25.70 inference(unit_resolution,[status(thm)],[8164, 1562, 8158, 8154, 8150, 8146, 8142, 8138])).
% 39.26/25.70 tff(8166,plain,
% 39.26/25.70 (((~![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))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8167,plain,
% 39.26/25.70 ((v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1))) <=> ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 39.26/25.70 inference(rewrite,[status(thm)],[])).
% 39.26/25.70 tff(8168,plain,
% 39.26/25.70 (((~![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)))),
% 39.26/25.70 inference(monotonicity,[status(thm)],[8167])).
% 39.26/25.70 tff(8169,plain,
% 39.26/25.70 (((~![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))),
% 39.26/25.71 inference(transitivity,[status(thm)],[8168, 8166])).
% 39.26/25.71 tff(8170,plain,
% 39.26/25.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8171,plain,
% 39.26/25.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8170, 8169])).
% 39.26/25.71 tff(8172,plain,
% 39.26/25.71 ((~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8171, 527, 8085])).
% 39.26/25.71 tff(8173,plain,
% 39.26/25.71 (~v127(constB61, bitIndex1)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8172, 8165])).
% 39.26/25.71 tff(8174,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8175,plain,
% 39.26/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8176,plain,
% 39.26/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8175, 8174])).
% 39.26/25.71 tff(8177,plain,
% 39.26/25.71 (v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8176, 545, 8100])).
% 39.26/25.71 tff(8178,plain,
% 39.26/25.71 (~v129(constB62, bitIndex1)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8177, 8173])).
% 39.26/25.71 tff(8179,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8180,plain,
% 39.26/25.71 (((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1)) <=> ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8181,plain,
% 39.26/25.71 (((~![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))))),
% 39.26/25.71 inference(monotonicity,[status(thm)],[8180])).
% 39.26/25.71 tff(8182,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(transitivity,[status(thm)],[8181, 8179])).
% 39.26/25.71 tff(8183,plain,
% 39.26/25.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8184,plain,
% 39.26/25.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8183, 8182])).
% 39.26/25.71 tff(8185,plain,
% 39.26/25.71 ((~v90(constB62, bitIndex1)) | (~v100(constB62))),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8184, 560, 8178])).
% 39.26/25.71 tff(8186,plain,
% 39.26/25.71 (~v90(constB62, bitIndex1)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8185, 8134])).
% 39.26/25.71 tff(8187,plain,
% 39.26/25.71 ((~v1(constB63)) <=> (~v1(constB63))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8188,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 39.26/25.71 tff(8189,plain,
% 39.26/25.71 (~v1(constB63)),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8188, 8187])).
% 39.26/25.71 tff(8190,plain,
% 39.26/25.71 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8191,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 39.26/25.71 tff(8192,plain,
% 39.26/25.71 (nextState(constB62, constB63)),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 39.26/25.71 tff(8193,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8194,plain,
% 39.26/25.71 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8195,plain,
% 39.26/25.71 (((~![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))))),
% 39.26/25.71 inference(monotonicity,[status(thm)],[8194])).
% 39.26/25.71 tff(8196,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(transitivity,[status(thm)],[8195, 8193])).
% 39.26/25.71 tff(8197,plain,
% 39.26/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8198,plain,
% 39.26/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8197, 8196])).
% 39.26/25.71 tff(8199,plain,
% 39.26/25.71 (~v101(constB63)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8198, 133, 8192, 8189])).
% 39.26/25.71 tff(8200,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8201,plain,
% 39.26/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8202,plain,
% 39.26/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 39.26/25.71 tff(8203,plain,
% 39.26/25.71 (v101(constB63) | (~v100(constB63))),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8202, 150, 8192])).
% 39.26/25.71 tff(8204,plain,
% 39.26/25.71 (~v100(constB63)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8203, 8199])).
% 39.26/25.71 tff(8205,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8206,plain,
% 39.26/25.71 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))) <=> (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8207,plain,
% 39.26/25.71 (((~![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))))),
% 39.26/25.71 inference(monotonicity,[status(thm)],[8206])).
% 39.26/25.71 tff(8208,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(transitivity,[status(thm)],[8207, 8205])).
% 39.26/25.71 tff(8209,plain,
% 39.26/25.71 ((~![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)))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8210,plain,
% 39.26/25.71 ((~![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))),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8209, 8208])).
% 39.26/25.71 tff(8211,plain,
% 39.26/25.71 (v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8210, 186, 8192])).
% 39.26/25.71 tff(8212,plain,
% 39.26/25.71 (v90(constB62, bitIndex1) | (~v90(constB63, bitIndex1))),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8211, 8204])).
% 39.26/25.71 tff(8213,plain,
% 39.26/25.71 (~v90(constB63, bitIndex1)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8212, 8186])).
% 39.26/25.71 tff(8214,plain,
% 39.26/25.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8215,plain,
% 39.26/25.71 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2))) <=> (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8216,plain,
% 39.26/25.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2))))),
% 39.26/25.71 inference(monotonicity,[status(thm)],[8215])).
% 39.26/25.71 tff(8217,plain,
% 39.26/25.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2)))),
% 39.26/25.71 inference(transitivity,[status(thm)],[8216, 8214])).
% 39.26/25.71 tff(8218,plain,
% 39.26/25.71 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8219,plain,
% 39.26/25.71 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2))),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8218, 8217])).
% 39.26/25.71 tff(8220,plain,
% 39.26/25.71 (~v130(constB61, bitIndex2)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8219, 1993, 8158, 8154, 8150, 8146, 8142, 8138])).
% 39.26/25.71 tff(8221,plain,
% 39.26/25.71 (((~![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))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8222,plain,
% 39.26/25.71 ((v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2))) <=> ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8223,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(monotonicity,[status(thm)],[8222])).
% 39.26/25.71 tff(8224,plain,
% 39.26/25.71 (((~![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))),
% 39.26/25.71 inference(transitivity,[status(thm)],[8223, 8221])).
% 39.26/25.71 tff(8225,plain,
% 39.26/25.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8226,plain,
% 39.26/25.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8225, 8224])).
% 39.26/25.71 tff(8227,plain,
% 39.26/25.71 ((~v127(constB61, bitIndex2)) | v130(constB61, bitIndex2)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8226, 435, 8085])).
% 39.26/25.71 tff(8228,plain,
% 39.26/25.71 (~v127(constB61, bitIndex2)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8227, 8220])).
% 39.26/25.71 tff(8229,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8230,plain,
% 39.26/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8231,plain,
% 39.26/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8230, 8229])).
% 39.26/25.71 tff(8232,plain,
% 39.26/25.71 (v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8231, 453, 8100])).
% 39.26/25.71 tff(8233,plain,
% 39.26/25.71 (~v129(constB62, bitIndex2)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8232, 8228])).
% 39.26/25.71 tff(8234,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8235,plain,
% 39.26/25.71 (((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8236,plain,
% 39.26/25.71 (((~![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))))),
% 39.26/25.71 inference(monotonicity,[status(thm)],[8235])).
% 39.26/25.71 tff(8237,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(transitivity,[status(thm)],[8236, 8234])).
% 39.26/25.71 tff(8238,plain,
% 39.26/25.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8239,plain,
% 39.26/25.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8238, 8237])).
% 39.26/25.71 tff(8240,plain,
% 39.26/25.71 ((~v90(constB62, bitIndex2)) | (~v100(constB62))),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8239, 468, 8233])).
% 39.26/25.71 tff(8241,plain,
% 39.26/25.71 (~v90(constB62, bitIndex2)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8240, 8134])).
% 39.26/25.71 tff(8242,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8243,plain,
% 39.26/25.71 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8244,plain,
% 39.26/25.71 (((~![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))))),
% 39.26/25.71 inference(monotonicity,[status(thm)],[8243])).
% 39.26/25.71 tff(8245,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(transitivity,[status(thm)],[8244, 8242])).
% 39.26/25.71 tff(8246,plain,
% 39.26/25.71 ((~![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)))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8247,plain,
% 39.26/25.71 ((~![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))),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8246, 8245])).
% 39.26/25.71 tff(8248,plain,
% 39.26/25.71 (v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8247, 165, 8192])).
% 39.26/25.71 tff(8249,plain,
% 39.26/25.71 (v90(constB62, bitIndex2) | (~v90(constB63, bitIndex2))),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8248, 8204])).
% 39.26/25.71 tff(8250,plain,
% 39.26/25.71 (~v90(constB63, bitIndex2)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8249, 8241])).
% 39.26/25.71 tff(8251,assumption,(~v90(constB63, bitIndex1)), introduced(assumption)).
% 39.26/25.71 tff(8252,plain,
% 39.26/25.71 (((~![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))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8253,plain,
% 39.26/25.71 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex1)) | v100(constB63) | v90(constB63, bitIndex1)) <=> ((~v90(constB62, bitIndex1)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex1))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8254,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(monotonicity,[status(thm)],[8253])).
% 39.26/25.71 tff(8255,plain,
% 39.26/25.71 (((~![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))),
% 39.26/25.71 inference(transitivity,[status(thm)],[8254, 8252])).
% 39.26/25.71 tff(8256,plain,
% 39.26/25.71 ((~![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))),
% 39.26/25.71 inference(quant_inst,[status(thm)],[])).
% 39.26/25.71 tff(8257,plain,
% 39.26/25.71 ((~![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)),
% 39.26/25.71 inference(modus_ponens,[status(thm)],[8256, 8255])).
% 39.26/25.71 tff(8258,plain,
% 39.26/25.71 ((~v90(constB62, bitIndex1)) | v100(constB63) | v90(constB63, bitIndex1)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8257, 1049, 8192])).
% 39.26/25.71 tff(8259,plain,
% 39.26/25.71 ((~v90(constB62, bitIndex1)) | v90(constB63, bitIndex1)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8258, 8204])).
% 39.26/25.71 tff(8260,plain,
% 39.26/25.71 (~v90(constB62, bitIndex1)),
% 39.26/25.71 inference(unit_resolution,[status(thm)],[8259, 8251])).
% 39.26/25.71 tff(8261,assumption,(~v90(constB63, bitIndex2)), introduced(assumption)).
% 39.26/25.71 tff(8262,plain,
% 39.26/25.71 (((~![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))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8263,plain,
% 39.26/25.71 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 39.26/25.71 inference(rewrite,[status(thm)],[])).
% 39.26/25.71 tff(8264,plain,
% 39.26/25.71 (((~![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)))),
% 39.26/25.71 inference(monotonicity,[status(thm)],[8263])).
% 39.26/25.71 tff(8265,plain,
% 39.26/25.71 (((~![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))),
% 39.28/25.71 inference(transitivity,[status(thm)],[8264, 8262])).
% 39.28/25.71 tff(8266,plain,
% 39.28/25.71 ((~![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))),
% 39.28/25.71 inference(quant_inst,[status(thm)],[])).
% 39.28/25.71 tff(8267,plain,
% 39.28/25.71 ((~![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)),
% 39.28/25.71 inference(modus_ponens,[status(thm)],[8266, 8265])).
% 39.28/25.71 tff(8268,plain,
% 39.28/25.71 ((~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2)),
% 39.28/25.71 inference(unit_resolution,[status(thm)],[8267, 2118, 8192])).
% 39.28/25.71 tff(8269,plain,
% 39.28/25.71 ((~v90(constB62, bitIndex2)) | v90(constB63, bitIndex2)),
% 39.28/25.71 inference(unit_resolution,[status(thm)],[8268, 8204])).
% 39.28/25.72 tff(8270,plain,
% 39.28/25.72 (~v90(constB62, bitIndex2)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8269, 8261])).
% 39.28/25.72 tff(8271,assumption,(~v120(constB63)), introduced(assumption)).
% 39.28/25.72 tff(8272,plain,
% 39.28/25.72 (((~![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))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8273,plain,
% 39.28/25.72 (((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)) <=> ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8274,plain,
% 39.28/25.72 (((~![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)))),
% 39.28/25.72 inference(monotonicity,[status(thm)],[8273])).
% 39.28/25.72 tff(8275,plain,
% 39.28/25.72 (((~![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))),
% 39.28/25.72 inference(transitivity,[status(thm)],[8274, 8272])).
% 39.28/25.72 tff(8276,plain,
% 39.28/25.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8277,plain,
% 39.28/25.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8276, 8275])).
% 39.28/25.72 tff(8278,plain,
% 39.28/25.72 ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8277, 668, 8271])).
% 39.28/25.72 tff(8279,plain,
% 39.28/25.72 (~v90(constB63, bitIndex0)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8278, 8251, 8261])).
% 39.28/25.72 tff(8280,plain,
% 39.28/25.72 (((~![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))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8281,plain,
% 39.28/25.72 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8282,plain,
% 39.28/25.72 (((~![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)))),
% 39.28/25.72 inference(monotonicity,[status(thm)],[8281])).
% 39.28/25.72 tff(8283,plain,
% 39.28/25.72 (((~![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))),
% 39.28/25.72 inference(transitivity,[status(thm)],[8282, 8280])).
% 39.28/25.72 tff(8284,plain,
% 39.28/25.72 ((~![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))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8285,plain,
% 39.28/25.72 ((~![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)),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8284, 8283])).
% 39.28/25.72 tff(8286,plain,
% 39.28/25.72 ((~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8285, 649, 8192])).
% 39.28/25.72 tff(8287,plain,
% 39.28/25.72 ((~v90(constB62, bitIndex0)) | v90(constB63, bitIndex0)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8286, 8204])).
% 39.28/25.72 tff(8288,plain,
% 39.28/25.72 (~v90(constB62, bitIndex0)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8287, 8279])).
% 39.28/25.72 tff(8289,assumption,(~v100(constB62)), introduced(assumption)).
% 39.28/25.72 tff(8290,plain,
% 39.28/25.72 (~v110(constB62)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8133, 8289])).
% 39.28/25.72 tff(8291,plain,
% 39.28/25.72 (~v108(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8107, 8290])).
% 39.28/25.72 tff(8292,plain,
% 39.28/25.72 (~v112(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8096, 320, 8291])).
% 39.28/25.72 tff(8293,assumption,(~v90(constB62, bitIndex1)), introduced(assumption)).
% 39.28/25.72 tff(8294,plain,
% 39.28/25.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB61, bitIndex1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB61, bitIndex1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex1))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8295,plain,
% 39.28/25.72 (((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex1)) | v100(constB62) | v90(constB62, bitIndex1)) <=> ((~v90(constB61, bitIndex1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex1))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8296,plain,
% 39.28/25.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex1)) | v100(constB62) | v90(constB62, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB61, bitIndex1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex1)))),
% 39.28/25.72 inference(monotonicity,[status(thm)],[8295])).
% 39.28/25.72 tff(8297,plain,
% 39.28/25.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex1)) | v100(constB62) | v90(constB62, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB61, bitIndex1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex1))),
% 39.28/25.72 inference(transitivity,[status(thm)],[8296, 8294])).
% 39.28/25.72 tff(8298,plain,
% 39.28/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex1)) | v100(constB62) | v90(constB62, bitIndex1))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8299,plain,
% 39.28/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB61, bitIndex1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex1)),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8298, 8297])).
% 39.28/25.72 tff(8300,plain,
% 39.28/25.72 ((~v90(constB61, bitIndex1)) | v100(constB62) | v90(constB62, bitIndex1)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8299, 1049, 8100])).
% 39.28/25.72 tff(8301,plain,
% 39.28/25.72 (~v90(constB61, bitIndex1)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8300, 8289, 8293])).
% 39.28/25.72 tff(8302,plain,
% 39.28/25.72 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v121(VarCurr))))),
% 39.28/25.72 inference(bind,[status(th)],[])).
% 39.28/25.72 tff(8303,plain,
% 39.28/25.72 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 39.28/25.72 inference(quant_intro,[status(thm)],[8302])).
% 39.28/25.72 tff(8304,plain,
% 39.28/25.72 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8305,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 39.28/25.72 tff(8306,plain,
% 39.28/25.72 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8305, 8304])).
% 39.28/25.72 tff(8307,plain,(
% 39.28/25.72 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 39.28/25.72 inference(skolemize,[status(sab)],[8306])).
% 39.28/25.72 tff(8308,plain,
% 39.28/25.72 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8307, 8303])).
% 39.28/25.72 tff(8309,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB61, bitIndex1) | (~v121(constB61)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB61, bitIndex1) | (~v121(constB61)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8310,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB61, bitIndex1) | (~v121(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8311,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB61, bitIndex1) | (~v121(constB61))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8310, 8309])).
% 39.28/25.72 tff(8312,plain,
% 39.28/25.72 (~v121(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8311, 8308, 8301])).
% 39.28/25.72 tff(8313,assumption,(~v90(constB62, bitIndex2)), introduced(assumption)).
% 39.28/25.72 tff(8314,assumption,(~v90(constB62, bitIndex0)), introduced(assumption)).
% 39.28/25.72 tff(8315,plain,
% 39.28/25.72 (((~![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))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8316,plain,
% 39.28/25.72 (((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex0)) | v100(constB62) | v90(constB62, bitIndex0)) <=> ((~v90(constB61, bitIndex0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex0))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8317,plain,
% 39.28/25.72 (((~![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)))),
% 39.28/25.72 inference(monotonicity,[status(thm)],[8316])).
% 39.28/25.72 tff(8318,plain,
% 39.28/25.72 (((~![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))),
% 39.28/25.72 inference(transitivity,[status(thm)],[8317, 8315])).
% 39.28/25.72 tff(8319,plain,
% 39.28/25.72 ((~![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))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8320,plain,
% 39.28/25.72 ((~![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)),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8319, 8318])).
% 39.28/25.72 tff(8321,plain,
% 39.28/25.72 ((~v90(constB61, bitIndex0)) | v100(constB62) | v90(constB62, bitIndex0)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8320, 649, 8100])).
% 39.28/25.72 tff(8322,plain,
% 39.28/25.72 (~v90(constB61, bitIndex0)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8321, 8289, 8314])).
% 39.28/25.72 tff(8323,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB61, bitIndex0) | (~v120(constB61)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB61, bitIndex0) | (~v120(constB61)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8324,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB61, bitIndex0) | (~v120(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8325,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB61, bitIndex0) | (~v120(constB61))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 39.28/25.72 tff(8326,plain,
% 39.28/25.72 (~v120(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8325, 1957, 8322])).
% 39.28/25.72 tff(8327,assumption,(~v113(constB61)), introduced(assumption)).
% 39.28/25.72 tff(8328,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB61) | (~v114(constB61)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB61) | (~v114(constB61)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8329,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB61) | (~v114(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8330,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB61) | (~v114(constB61))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8329, 8328])).
% 39.28/25.72 tff(8331,plain,
% 39.28/25.72 (~v114(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8330, 294, 8327])).
% 39.28/25.72 tff(8332,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB61) | (~v115(constB61)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB61) | (~v115(constB61)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8333,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB61) | (~v115(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8334,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB61) | (~v115(constB61))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8333, 8332])).
% 39.28/25.72 tff(8335,plain,
% 39.28/25.72 (~v115(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8334, 283, 8331])).
% 39.28/25.72 tff(8336,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB61) | (~v116(constB61)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB61) | (~v116(constB61)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8337,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB61) | (~v116(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8338,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB61) | (~v116(constB61))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8337, 8336])).
% 39.28/25.72 tff(8339,plain,
% 39.28/25.72 (~v116(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8338, 272, 8335])).
% 39.28/25.72 tff(8340,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB61) | (~v122(constB61)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB61) | (~v122(constB61)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8341,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB61) | (~v122(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8342,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB61) | (~v122(constB61))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8341, 8340])).
% 39.28/25.72 tff(8343,plain,
% 39.28/25.72 (~v122(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8342, 1149, 8339])).
% 39.28/25.72 tff(8344,assumption,(~v120(constB61)), introduced(assumption)).
% 39.28/25.72 tff(8345,plain,
% 39.28/25.72 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 39.28/25.72 inference(bind,[status(th)],[])).
% 39.28/25.72 tff(8346,plain,
% 39.28/25.72 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 39.28/25.72 inference(quant_intro,[status(thm)],[8345])).
% 39.28/25.72 tff(8347,plain,
% 39.28/25.72 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8348,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 39.28/25.72 tff(8349,plain,
% 39.28/25.72 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8348, 8347])).
% 39.28/25.72 tff(8350,plain,(
% 39.28/25.72 ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 39.28/25.72 inference(skolemize,[status(sab)],[8349])).
% 39.28/25.72 tff(8351,plain,
% 39.28/25.72 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8350, 8346])).
% 39.28/25.72 tff(8352,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB61) | (~v112(constB61)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8353,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB61) | (~v112(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8354,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB61) | (~v112(constB61))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 39.28/25.72 tff(8355,plain,
% 39.28/25.72 (~v112(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8354, 8351, 8327])).
% 39.28/25.72 tff(8356,plain,
% 39.28/25.72 (^[VarCurr: $i] : refl((v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 39.28/25.72 inference(bind,[status(th)],[])).
% 39.28/25.72 tff(8357,plain,
% 39.28/25.72 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 39.28/25.72 inference(quant_intro,[status(thm)],[8356])).
% 39.28/25.72 tff(8358,plain,
% 39.28/25.72 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8359,plain,
% 39.28/25.72 (^[VarCurr: $i] : rewrite(((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 39.28/25.72 inference(bind,[status(th)],[])).
% 39.28/25.72 tff(8360,plain,
% 39.28/25.72 (![VarCurr: $i] : ((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 39.28/25.72 inference(quant_intro,[status(thm)],[8359])).
% 39.28/25.72 tff(8361,axiom,(![VarCurr: $i] : ((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 39.28/25.72 tff(8362,plain,
% 39.28/25.72 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8361, 8360])).
% 39.28/25.72 tff(8363,plain,
% 39.28/25.72 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8362, 8358])).
% 39.28/25.72 tff(8364,plain,(
% 39.28/25.72 ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 39.28/25.72 inference(skolemize,[status(sab)],[8363])).
% 39.28/25.72 tff(8365,plain,
% 39.28/25.72 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8364, 8357])).
% 39.28/25.72 tff(8366,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB61)) | v26(constB61) | v112(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB61)) | v26(constB61) | v112(constB61))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8367,plain,
% 39.28/25.72 ((v26(constB61) | v112(constB61) | (~v108(constB61))) <=> ((~v108(constB61)) | v26(constB61) | v112(constB61))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8368,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB61) | v112(constB61) | (~v108(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB61)) | v26(constB61) | v112(constB61)))),
% 39.28/25.72 inference(monotonicity,[status(thm)],[8367])).
% 39.28/25.72 tff(8369,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB61) | v112(constB61) | (~v108(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB61)) | v26(constB61) | v112(constB61))),
% 39.28/25.72 inference(transitivity,[status(thm)],[8368, 8366])).
% 39.28/25.72 tff(8370,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB61) | v112(constB61) | (~v108(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8371,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB61)) | v26(constB61) | v112(constB61)),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 39.28/25.72 tff(8372,plain,
% 39.28/25.72 ((~v108(constB61)) | v112(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8371, 8365, 8085])).
% 39.28/25.72 tff(8373,plain,
% 39.28/25.72 (~v108(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8372, 8355])).
% 39.28/25.72 tff(8374,plain,
% 39.28/25.72 (((~![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))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8375,plain,
% 39.28/25.72 (((~nextState(constB61, constB62)) | v108(constB61) | (~v110(constB62))) <=> ((~nextState(constB61, constB62)) | (~v110(constB62)) | v108(constB61))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8376,plain,
% 39.28/25.72 (((~![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)))),
% 39.28/25.72 inference(monotonicity,[status(thm)],[8375])).
% 39.28/25.72 tff(8377,plain,
% 39.28/25.72 (((~![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))),
% 39.28/25.72 inference(transitivity,[status(thm)],[8376, 8374])).
% 39.28/25.72 tff(8378,plain,
% 39.28/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB61, constB62)) | v108(constB61) | (~v110(constB62)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8379,plain,
% 39.28/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB61, constB62)) | (~v110(constB62)) | v108(constB61)),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8378, 8377])).
% 39.28/25.72 tff(8380,plain,
% 39.28/25.72 ((~v110(constB62)) | v108(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8379, 716, 8100])).
% 39.28/25.72 tff(8381,plain,
% 39.28/25.72 (~v110(constB62)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8380, 8373])).
% 39.28/25.72 tff(8382,plain,
% 39.28/25.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v100(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v100(constB62)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8383,plain,
% 39.28/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v100(constB62)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8384,plain,
% 39.28/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v100(constB62))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8383, 8382])).
% 39.28/25.72 tff(8385,plain,
% 39.28/25.72 (v110(constB62) | (~v100(constB62))),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8384, 734, 8100])).
% 39.28/25.72 tff(8386,plain,
% 39.28/25.72 (~v100(constB62)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8385, 8381])).
% 39.28/25.72 tff(8387,plain,
% 39.28/25.72 (((~![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))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8388,plain,
% 39.28/25.72 (((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex2)) | v100(constB62) | v90(constB62, bitIndex2)) <=> ((~v90(constB61, bitIndex2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex2))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8389,plain,
% 39.28/25.72 (((~![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)))),
% 39.28/25.72 inference(monotonicity,[status(thm)],[8388])).
% 39.28/25.72 tff(8390,plain,
% 39.28/25.72 (((~![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))),
% 39.28/25.72 inference(transitivity,[status(thm)],[8389, 8387])).
% 39.28/25.72 tff(8391,plain,
% 39.28/25.72 ((~![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))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8392,plain,
% 39.28/25.72 ((~![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)),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8391, 8390])).
% 39.28/25.72 tff(8393,plain,
% 39.28/25.72 ((~v90(constB61, bitIndex2)) | v100(constB62) | v90(constB62, bitIndex2)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8392, 2118, 8100])).
% 39.28/25.72 tff(8394,plain,
% 39.28/25.72 (~v90(constB61, bitIndex2)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8393, 8386, 8313])).
% 39.28/25.72 tff(8395,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB61) | (~v117(constB61)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB61) | (~v117(constB61)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8396,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB61) | (~v117(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8397,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB61) | (~v117(constB61))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8396, 8395])).
% 39.28/25.72 tff(8398,plain,
% 39.28/25.72 (~v117(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8397, 261, 8339])).
% 39.28/25.72 tff(8399,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB61) | (~v118(constB61)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB61) | (~v118(constB61)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8400,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB61) | (~v118(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8401,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB61) | (~v118(constB61))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 39.28/25.72 tff(8402,plain,
% 39.28/25.72 (~v118(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8401, 250, 8398])).
% 39.28/25.72 tff(8403,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB61) | (~v119(constB61)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB61) | (~v119(constB61)))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8404,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB61) | (~v119(constB61)))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8405,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB61) | (~v119(constB61))),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8404, 8403])).
% 39.28/25.72 tff(8406,plain,
% 39.28/25.72 (~v119(constB61)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8405, 239, 8402])).
% 39.28/25.72 tff(8407,assumption,(~v119(constB61)), introduced(assumption)).
% 39.28/25.72 tff(8408,assumption,(~v90(constB61, bitIndex1)), introduced(assumption)).
% 39.28/25.72 tff(8409,assumption,(~v90(constB61, bitIndex2)), introduced(assumption)).
% 39.28/25.72 tff(8410,plain,
% 39.28/25.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8411,plain,
% 39.28/25.72 (((~v90(constB61, bitIndex0)) | v120(constB61) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)) <=> ((~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8412,plain,
% 39.28/25.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex0)) | v120(constB61) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61)))),
% 39.28/25.72 inference(monotonicity,[status(thm)],[8411])).
% 39.28/25.72 tff(8413,plain,
% 39.28/25.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex0)) | v120(constB61) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61))),
% 39.28/25.72 inference(transitivity,[status(thm)],[8412, 8410])).
% 39.28/25.72 tff(8414,plain,
% 39.28/25.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex0)) | v120(constB61) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8415,plain,
% 39.28/25.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61)),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8414, 8413])).
% 39.28/25.72 tff(8416,plain,
% 39.28/25.72 ((~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8415, 668, 8344])).
% 39.28/25.72 tff(8417,plain,
% 39.28/25.72 (~v90(constB61, bitIndex0)),
% 39.28/25.72 inference(unit_resolution,[status(thm)],[8416, 8408, 8409])).
% 39.28/25.72 tff(8418,plain,
% 39.28/25.72 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB61) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB61) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))),
% 39.28/25.72 inference(rewrite,[status(thm)],[])).
% 39.28/25.72 tff(8419,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB61) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))),
% 39.28/25.72 inference(quant_inst,[status(thm)],[])).
% 39.28/25.72 tff(8420,plain,
% 39.28/25.72 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB61) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)),
% 39.28/25.72 inference(modus_ponens,[status(thm)],[8419, 8418])).
% 39.28/25.72 tff(8421,plain,
% 39.28/25.72 (v119(constB61) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8420, 228, 8409])).
% 39.28/25.73 tff(8422,plain,
% 39.28/25.73 ($false),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8421, 8417, 8408, 8407])).
% 39.28/25.73 tff(8423,plain,(v90(constB61, bitIndex1) | v119(constB61) | v90(constB61, bitIndex2) | v120(constB61)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.73 tff(8424,plain,
% 39.28/25.73 (v90(constB61, bitIndex1)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8423, 8406, 8394, 8344])).
% 39.28/25.73 tff(8425,assumption,(~v121(constB61)), introduced(assumption)).
% 39.28/25.73 tff(8426,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v121(constB61))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v121(constB61))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8427,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v121(constB61))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8428,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v121(constB61)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8427, 8426])).
% 39.28/25.73 tff(8429,plain,
% 39.28/25.73 (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8428, 996, 8425])).
% 39.28/25.73 tff(8430,plain,
% 39.28/25.73 (v90(constB61, bitIndex0)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8429, 8424, 8394])).
% 39.28/25.73 tff(8431,plain,
% 39.28/25.73 (((~![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))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8432,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8433,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8432, 8431])).
% 39.28/25.73 tff(8434,plain,
% 39.28/25.73 ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v122(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8433, 1184, 8394])).
% 39.28/25.73 tff(8435,plain,
% 39.28/25.73 ($false),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8434, 8430, 8424, 8343])).
% 39.28/25.73 tff(8436,plain,(v113(constB61) | v121(constB61) | v120(constB61) | v90(constB62, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.73 tff(8437,plain,
% 39.28/25.73 (v113(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8436, 8326, 8313, 8312])).
% 39.28/25.73 tff(8438,plain,
% 39.28/25.73 ($false),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8092, 8437, 8292])).
% 39.28/25.73 tff(8439,plain,(v100(constB62) | v90(constB62, bitIndex2) | v90(constB62, bitIndex0) | v90(constB62, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.73 tff(8440,plain,
% 39.28/25.73 (v100(constB62)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8439, 8288, 8270, 8260])).
% 39.28/25.73 tff(8441,plain,
% 39.28/25.73 (((~![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)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8442,plain,
% 39.28/25.73 ((v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8443,plain,
% 39.28/25.73 (((~![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))))),
% 39.28/25.73 inference(monotonicity,[status(thm)],[8442])).
% 39.28/25.73 tff(8444,plain,
% 39.28/25.73 (((~![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)))),
% 39.28/25.73 inference(transitivity,[status(thm)],[8443, 8441])).
% 39.28/25.73 tff(8445,plain,
% 39.28/25.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8446,plain,
% 39.28/25.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8445, 8444])).
% 39.28/25.73 tff(8447,plain,
% 39.28/25.73 ((~v129(constB62, bitIndex2)) | (~v100(constB62))),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8446, 2100, 8270])).
% 39.28/25.73 tff(8448,plain,
% 39.28/25.73 (~v129(constB62, bitIndex2)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8447, 8440])).
% 39.28/25.73 tff(8449,plain,
% 39.28/25.73 (((~![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))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8450,plain,
% 39.28/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8451,plain,
% 39.28/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8450, 8449])).
% 39.28/25.73 tff(8452,plain,
% 39.28/25.73 ((~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8451, 1836, 8100])).
% 39.28/25.73 tff(8453,plain,
% 39.28/25.73 (~v127(constB61, bitIndex2)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8452, 8448])).
% 39.28/25.73 tff(8454,plain,
% 39.28/25.73 (((~![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))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8455,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8456,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8455, 8454])).
% 39.28/25.73 tff(8457,plain,
% 39.28/25.73 ((~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8456, 1821, 8085])).
% 39.28/25.73 tff(8458,plain,
% 39.28/25.73 (~v130(constB61, bitIndex2)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8457, 8453])).
% 39.28/25.73 tff(8459,plain,
% 39.28/25.73 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB61)) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB61)) | v130(constB61, bitIndex2))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8460,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB61)) | v130(constB61, bitIndex2))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8461,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB61)) | v130(constB61, bitIndex2)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8460, 8459])).
% 39.28/25.73 tff(8462,plain,
% 39.28/25.73 (~v122(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8461, 1803, 8458])).
% 39.28/25.73 tff(8463,plain,
% 39.28/25.73 (((~![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)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8464,plain,
% 39.28/25.73 ((v90(constB62, bitIndex1) | (~v100(constB62)) | (~v129(constB62, bitIndex1))) <=> (v90(constB62, bitIndex1) | (~v129(constB62, bitIndex1)) | (~v100(constB62)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8465,plain,
% 39.28/25.73 (((~![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))))),
% 39.28/25.73 inference(monotonicity,[status(thm)],[8464])).
% 39.28/25.73 tff(8466,plain,
% 39.28/25.73 (((~![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)))),
% 39.28/25.73 inference(transitivity,[status(thm)],[8465, 8463])).
% 39.28/25.73 tff(8467,plain,
% 39.28/25.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~v100(constB62)) | (~v129(constB62, bitIndex1)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8468,plain,
% 39.28/25.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~v129(constB62, bitIndex1)) | (~v100(constB62))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8467, 8466])).
% 39.28/25.73 tff(8469,plain,
% 39.28/25.73 ((~v129(constB62, bitIndex1)) | (~v100(constB62))),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8468, 912, 8260])).
% 39.28/25.73 tff(8470,plain,
% 39.28/25.73 (~v129(constB62, bitIndex1)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8469, 8440])).
% 39.28/25.73 tff(8471,plain,
% 39.28/25.73 (((~![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))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8472,plain,
% 39.28/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex1)) | v129(constB62, bitIndex1))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8473,plain,
% 39.28/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex1)) | v129(constB62, bitIndex1)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8472, 8471])).
% 39.28/25.73 tff(8474,plain,
% 39.28/25.73 ((~v127(constB61, bitIndex1)) | v129(constB62, bitIndex1)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8473, 897, 8100])).
% 39.28/25.73 tff(8475,plain,
% 39.28/25.73 (~v127(constB61, bitIndex1)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8474, 8470])).
% 39.28/25.73 tff(8476,plain,
% 39.28/25.73 (((~![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))) | v26(constB61) | (~v130(constB61, bitIndex1)) | v127(constB61, bitIndex1))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8477,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB61) | (~v130(constB61, bitIndex1)) | v127(constB61, bitIndex1))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8478,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB61) | (~v130(constB61, bitIndex1)) | v127(constB61, bitIndex1)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8477, 8476])).
% 39.28/25.73 tff(8479,plain,
% 39.28/25.73 ((~v130(constB61, bitIndex1)) | v127(constB61, bitIndex1)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8478, 882, 8085])).
% 39.28/25.73 tff(8480,plain,
% 39.28/25.73 (~v130(constB61, bitIndex1)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8479, 8475])).
% 39.28/25.73 tff(8481,plain,
% 39.28/25.73 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB61)) | v130(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB61)) | v130(constB61, bitIndex1))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8482,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB61)) | v130(constB61, bitIndex1))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8483,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB61)) | v130(constB61, bitIndex1)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 39.28/25.73 tff(8484,plain,
% 39.28/25.73 (~v121(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8483, 1717, 8480])).
% 39.28/25.73 tff(8485,plain,
% 39.28/25.73 (((~![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)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8486,plain,
% 39.28/25.73 ((v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8487,plain,
% 39.28/25.73 (((~![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))))),
% 39.28/25.73 inference(monotonicity,[status(thm)],[8486])).
% 39.28/25.73 tff(8488,plain,
% 39.28/25.73 (((~![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)))),
% 39.28/25.73 inference(transitivity,[status(thm)],[8487, 8485])).
% 39.28/25.73 tff(8489,plain,
% 39.28/25.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8490,plain,
% 39.28/25.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8489, 8488])).
% 39.28/25.73 tff(8491,plain,
% 39.28/25.73 ((~v129(constB62, bitIndex0)) | (~v100(constB62))),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8490, 631, 8288])).
% 39.28/25.73 tff(8492,plain,
% 39.28/25.73 (~v129(constB62, bitIndex0)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8491, 8440])).
% 39.28/25.73 tff(8493,plain,
% 39.28/25.73 (((~![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))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8494,plain,
% 39.28/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8495,plain,
% 39.28/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8494, 8493])).
% 39.28/25.73 tff(8496,plain,
% 39.28/25.73 ((~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8495, 616, 8100])).
% 39.28/25.73 tff(8497,plain,
% 39.28/25.73 (~v127(constB61, bitIndex0)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8496, 8492])).
% 39.28/25.73 tff(8498,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8499,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8500,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8499, 8498])).
% 39.28/25.73 tff(8501,plain,
% 39.28/25.73 ((~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8500, 601, 8085])).
% 39.28/25.73 tff(8502,plain,
% 39.28/25.73 (~v130(constB61, bitIndex0)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8501, 8497])).
% 39.28/25.73 tff(8503,plain,
% 39.28/25.73 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB61)) | v130(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB61)) | v130(constB61, bitIndex1))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8504,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB61)) | v130(constB61, bitIndex1))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8505,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB61)) | v130(constB61, bitIndex1)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 39.28/25.73 tff(8506,plain,
% 39.28/25.73 (~v120(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8505, 868, 8480])).
% 39.28/25.73 tff(8507,plain,
% 39.28/25.73 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB61)) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB61)) | v130(constB61, bitIndex0))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8508,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB61)) | v130(constB61, bitIndex0))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8509,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB61)) | v130(constB61, bitIndex0)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8508, 8507])).
% 39.28/25.73 tff(8510,plain,
% 39.28/25.73 (~v119(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8509, 587, 8502])).
% 39.28/25.73 tff(8511,assumption,(v90(constB61, bitIndex2)), introduced(assumption)).
% 39.28/25.73 tff(8512,plain,
% 39.28/25.73 (~v122(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8137, 3526, 8511])).
% 39.28/25.73 tff(8513,plain,
% 39.28/25.73 (v100(constB62)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8393, 8511, 8313])).
% 39.28/25.73 tff(8514,plain,
% 39.28/25.73 ((~v129(constB62, bitIndex2)) | (~v100(constB62))),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8446, 2100, 8313])).
% 39.28/25.73 tff(8515,plain,
% 39.28/25.73 (~v129(constB62, bitIndex2)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8514, 8513])).
% 39.28/25.73 tff(8516,plain,
% 39.28/25.73 (~v127(constB61, bitIndex2)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8452, 8515])).
% 39.28/25.73 tff(8517,plain,
% 39.28/25.73 (~v130(constB61, bitIndex2)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8457, 8516])).
% 39.28/25.73 tff(8518,plain,
% 39.28/25.73 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB61)) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB61)) | v130(constB61, bitIndex2))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8519,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB61)) | v130(constB61, bitIndex2))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8520,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB61)) | v130(constB61, bitIndex2)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8519, 8518])).
% 39.28/25.73 tff(8521,plain,
% 39.28/25.73 (~v123(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8520, 2165, 8517])).
% 39.28/25.73 tff(8522,plain,
% 39.28/25.73 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB61)) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB61)) | v130(constB61, bitIndex2))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8523,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB61)) | v130(constB61, bitIndex2))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8524,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB61)) | v130(constB61, bitIndex2)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 39.28/25.73 tff(8525,plain,
% 39.28/25.73 (~v124(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8524, 2303, 8517])).
% 39.28/25.73 tff(8526,plain,
% 39.28/25.73 (~v121(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8149, 2586, 8511])).
% 39.28/25.73 tff(8527,plain,
% 39.28/25.73 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 39.28/25.73 inference(bind,[status(th)],[])).
% 39.28/25.73 tff(8528,plain,
% 39.28/25.73 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 39.28/25.73 inference(quant_intro,[status(thm)],[8527])).
% 39.28/25.73 tff(8529,plain,
% 39.28/25.73 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8530,plain,
% 39.28/25.73 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 39.28/25.73 inference(bind,[status(th)],[])).
% 39.28/25.73 tff(8531,plain,
% 39.28/25.73 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 39.28/25.73 inference(quant_intro,[status(thm)],[8530])).
% 39.28/25.73 tff(8532,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 39.28/25.73 tff(8533,plain,
% 39.28/25.73 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8532, 8531])).
% 39.28/25.73 tff(8534,plain,
% 39.28/25.73 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8533, 8529])).
% 39.28/25.73 tff(8535,plain,(
% 39.28/25.73 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 39.28/25.73 inference(skolemize,[status(sab)],[8534])).
% 39.28/25.73 tff(8536,plain,
% 39.28/25.73 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8535, 8528])).
% 39.28/25.73 tff(8537,plain,
% 39.28/25.73 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB61)) | (~v90(constB61, bitIndex2)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8538,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex2)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8539,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB61)) | (~v90(constB61, bitIndex2))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8538, 8537])).
% 39.28/25.73 tff(8540,plain,
% 39.28/25.73 (~v119(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8539, 8536, 8511])).
% 39.28/25.73 tff(8541,plain,
% 39.28/25.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v120(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v120(constB61)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8542,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v120(constB61)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8543,plain,
% 39.28/25.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v120(constB61))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8542, 8541])).
% 39.28/25.73 tff(8544,plain,
% 39.28/25.73 (~v120(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8543, 3537, 8511])).
% 39.28/25.73 tff(8545,plain,
% 39.28/25.73 ((~v129(constB62, bitIndex0)) | (~v100(constB62))),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8490, 631, 8314])).
% 39.28/25.73 tff(8546,plain,
% 39.28/25.73 (~v129(constB62, bitIndex0)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8545, 8513])).
% 39.28/25.73 tff(8547,plain,
% 39.28/25.73 (~v127(constB61, bitIndex0)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8496, 8546])).
% 39.28/25.73 tff(8548,plain,
% 39.28/25.73 (~v130(constB61, bitIndex0)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8501, 8547])).
% 39.28/25.73 tff(8549,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8550,plain,
% 39.28/25.73 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0)) <=> (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8551,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0)))),
% 39.28/25.73 inference(monotonicity,[status(thm)],[8550])).
% 39.28/25.73 tff(8552,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0))),
% 39.28/25.73 inference(transitivity,[status(thm)],[8551, 8549])).
% 39.28/25.73 tff(8553,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8554,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0)),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8553, 8552])).
% 39.28/25.73 tff(8555,plain,
% 39.28/25.73 ($false),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8554, 2753, 8548, 8544, 8540, 8526, 8525, 8521, 8512])).
% 39.28/25.73 tff(8556,plain,((~v90(constB61, bitIndex2)) | v90(constB62, bitIndex0) | v90(constB62, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.73 tff(8557,plain,
% 39.28/25.73 (~v90(constB61, bitIndex2)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8556, 8288, 8270])).
% 39.28/25.73 tff(8558,plain,
% 39.28/25.73 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v123(VarCurr))))),
% 39.28/25.73 inference(bind,[status(th)],[])).
% 39.28/25.73 tff(8559,plain,
% 39.28/25.73 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 39.28/25.73 inference(quant_intro,[status(thm)],[8558])).
% 39.28/25.73 tff(8560,plain,
% 39.28/25.73 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8561,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_2')).
% 39.28/25.73 tff(8562,plain,
% 39.28/25.73 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8561, 8560])).
% 39.28/25.73 tff(8563,plain,(
% 39.28/25.73 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 39.28/25.73 inference(skolemize,[status(sab)],[8562])).
% 39.28/25.73 tff(8564,plain,
% 39.28/25.73 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8563, 8559])).
% 39.28/25.73 tff(8565,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB61, bitIndex2) | (~v123(constB61)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB61, bitIndex2) | (~v123(constB61)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8566,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB61, bitIndex2) | (~v123(constB61)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8567,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB61, bitIndex2) | (~v123(constB61))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8566, 8565])).
% 39.28/25.73 tff(8568,plain,
% 39.28/25.73 (~v123(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8567, 8564, 8557])).
% 39.28/25.73 tff(8569,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB61, bitIndex2) | (~v124(constB61)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB61, bitIndex2) | (~v124(constB61)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8570,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB61, bitIndex2) | (~v124(constB61)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8571,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB61, bitIndex2) | (~v124(constB61))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 39.28/25.73 tff(8572,plain,
% 39.28/25.73 (~v124(constB61)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8571, 7720, 8557])).
% 39.28/25.73 tff(8573,plain,
% 39.28/25.73 (v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v130(constB61, bitIndex0)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8554, 2753, 8572, 8568])).
% 39.28/25.73 tff(8574,plain,
% 39.28/25.73 ($false),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8573, 8510, 8506, 8502, 8484, 8462])).
% 39.28/25.73 tff(8575,plain,(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.73 tff(8576,plain,
% 39.28/25.73 (v120(constB63)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8575, 8250, 8213])).
% 39.28/25.73 tff(8577,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB63) | (~v120(constB63)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB63) | (~v120(constB63)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8578,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB63) | (~v120(constB63)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8579,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB63) | (~v120(constB63))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 39.28/25.73 tff(8580,plain,
% 39.28/25.73 (v118(constB63)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8579, 778, 8576])).
% 39.28/25.73 tff(8581,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB63) | (~v118(constB63)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8582,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB63) | (~v118(constB63)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8583,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB63) | (~v118(constB63))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8582, 8581])).
% 39.28/25.73 tff(8584,plain,
% 39.28/25.73 (v117(constB63)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8583, 250, 8580])).
% 39.28/25.73 tff(8585,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB63) | (~v117(constB63)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB63) | (~v117(constB63)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8586,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB63) | (~v117(constB63)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8587,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB63) | (~v117(constB63))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8586, 8585])).
% 39.28/25.73 tff(8588,plain,
% 39.28/25.73 (v116(constB63)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8587, 261, 8584])).
% 39.28/25.73 tff(8589,plain,
% 39.28/25.73 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB63) | (~v116(constB63)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB63) | (~v116(constB63)))),
% 39.28/25.73 inference(rewrite,[status(thm)],[])).
% 39.28/25.73 tff(8590,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB63) | (~v116(constB63)))),
% 39.28/25.73 inference(quant_inst,[status(thm)],[])).
% 39.28/25.73 tff(8591,plain,
% 39.28/25.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB63) | (~v116(constB63))),
% 39.28/25.73 inference(modus_ponens,[status(thm)],[8590, 8589])).
% 39.28/25.73 tff(8592,plain,
% 39.28/25.73 (v115(constB63)),
% 39.28/25.73 inference(unit_resolution,[status(thm)],[8591, 272, 8588])).
% 39.28/25.73 tff(8593,plain,
% 39.28/25.74 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8594,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8595,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 39.28/25.74 tff(8596,plain,
% 39.28/25.74 (v114(constB63)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8595, 283, 8592])).
% 39.28/25.74 tff(8597,plain,
% 39.28/25.74 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8598,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8599,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8598, 8597])).
% 39.28/25.74 tff(8600,plain,
% 39.28/25.74 (v113(constB63)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8599, 294, 8596])).
% 39.28/25.74 tff(8601,assumption,(v26(constB63)), introduced(assumption)).
% 39.28/25.74 tff(8602,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8603,plain,
% 39.28/25.74 ($false),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8602, 86, 8601])).
% 39.28/25.74 tff(8604,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.74 tff(8605,plain,
% 39.28/25.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8606,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8607,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 39.28/25.74 tff(8608,plain,
% 39.28/25.74 ((~v113(constB63)) | v112(constB63)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8607, 308, 8604])).
% 39.28/25.74 tff(8609,plain,
% 39.28/25.74 (v112(constB63)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8608, 8600])).
% 39.28/25.74 tff(8610,plain,
% 39.28/25.74 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8611,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8612,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8611, 8610])).
% 39.28/25.74 tff(8613,plain,
% 39.28/25.74 (v108(constB63)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8612, 320, 8609])).
% 39.28/25.74 tff(8614,plain,
% 39.28/25.74 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8615,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 39.28/25.74 tff(8616,plain,
% 39.28/25.74 (nextState(constB63, constB64)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8615, 8614])).
% 39.28/25.74 tff(8617,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8618,plain,
% 39.28/25.74 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8619,plain,
% 39.28/25.74 (((~![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))))),
% 39.28/25.74 inference(monotonicity,[status(thm)],[8618])).
% 39.28/25.74 tff(8620,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(transitivity,[status(thm)],[8619, 8617])).
% 39.28/25.74 tff(8621,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8622,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8621, 8620])).
% 39.28/25.74 tff(8623,plain,
% 39.28/25.74 (v110(constB64) | (~v108(constB63))),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8622, 337, 8616])).
% 39.28/25.74 tff(8624,plain,
% 39.28/25.74 (v110(constB64)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8623, 8613])).
% 39.28/25.74 tff(8625,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8626,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8627,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8626, 8625])).
% 39.28/25.74 tff(8628,plain,
% 39.28/25.74 (~v104(constB64)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8627, 355, 8616, 8189])).
% 39.28/25.74 tff(8629,plain,
% 39.28/25.74 (((~![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))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8630,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8631,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8630, 8629])).
% 39.28/25.74 tff(8632,plain,
% 39.28/25.74 (v102(constB64) | v104(constB64)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8631, 369, 8616])).
% 39.28/25.74 tff(8633,plain,
% 39.28/25.74 (v102(constB64)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8632, 8628])).
% 39.28/25.74 tff(8634,plain,
% 39.28/25.74 (v1(constB64) <=> v1(constB64)),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8635,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 39.28/25.74 tff(8636,plain,
% 39.28/25.74 (v1(constB64)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8635, 8634])).
% 39.28/25.74 tff(8637,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8638,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8639,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8638, 8637])).
% 39.28/25.74 tff(8640,plain,
% 39.28/25.74 (v101(constB64) | (~v102(constB64))),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8639, 387, 8616, 8636])).
% 39.28/25.74 tff(8641,plain,
% 39.28/25.74 (v101(constB64)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8640, 8633])).
% 39.28/25.74 tff(8642,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8643,plain,
% 39.28/25.74 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8644,plain,
% 39.28/25.74 (((~![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))))),
% 39.28/25.74 inference(monotonicity,[status(thm)],[8643])).
% 39.28/25.74 tff(8645,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(transitivity,[status(thm)],[8644, 8642])).
% 39.28/25.74 tff(8646,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8647,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8646, 8645])).
% 39.28/25.74 tff(8648,plain,
% 39.28/25.74 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8647, 402, 8616])).
% 39.28/25.74 tff(8649,plain,
% 39.28/25.74 (v100(constB64) | (~v110(constB64))),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8648, 8641])).
% 39.28/25.74 tff(8650,plain,
% 39.28/25.74 (v100(constB64)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8649, 8624])).
% 39.28/25.74 tff(8651,plain,
% 39.28/25.74 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB63)) | v130(constB63, bitIndex1))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8652,plain,
% 39.28/25.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB63)) | v130(constB63, bitIndex1))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8653,plain,
% 39.28/25.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB63)) | v130(constB63, bitIndex1)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8652, 8651])).
% 39.28/25.74 tff(8654,plain,
% 39.28/25.74 (v130(constB63, bitIndex1)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8653, 868, 8576])).
% 39.28/25.74 tff(8655,plain,
% 39.28/25.74 (((~![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))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8656,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8657,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8656, 8655])).
% 39.28/25.74 tff(8658,plain,
% 39.28/25.74 ((~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8657, 882, 8604])).
% 39.28/25.74 tff(8659,plain,
% 39.28/25.74 (v127(constB63, bitIndex1)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8658, 8654])).
% 39.28/25.74 tff(8660,plain,
% 39.28/25.74 (((~![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))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8661,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8662,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8661, 8660])).
% 39.28/25.74 tff(8663,plain,
% 39.28/25.74 ((~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8662, 897, 8616])).
% 39.28/25.74 tff(8664,plain,
% 39.28/25.74 (v129(constB64, bitIndex1)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8663, 8659])).
% 39.28/25.74 tff(8665,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8666,plain,
% 39.28/25.74 ((v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8667,plain,
% 39.28/25.74 (((~![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))))),
% 39.28/25.74 inference(monotonicity,[status(thm)],[8666])).
% 39.28/25.74 tff(8668,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(transitivity,[status(thm)],[8667, 8665])).
% 39.28/25.74 tff(8669,plain,
% 39.28/25.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8670,plain,
% 39.28/25.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8669, 8668])).
% 39.28/25.74 tff(8671,plain,
% 39.28/25.74 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8670, 912, 8664])).
% 39.28/25.74 tff(8672,plain,
% 39.28/25.74 (v90(constB64, bitIndex1)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8671, 8650])).
% 39.28/25.74 tff(8673,plain,
% 39.28/25.74 ((~v1(constB65)) <=> (~v1(constB65))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8674,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 39.28/25.74 tff(8675,plain,
% 39.28/25.74 (~v1(constB65)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 39.28/25.74 tff(8676,plain,
% 39.28/25.74 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8677,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 39.28/25.74 tff(8678,plain,
% 39.28/25.74 (nextState(constB64, constB65)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 39.28/25.74 tff(8679,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8680,plain,
% 39.28/25.74 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8681,plain,
% 39.28/25.74 (((~![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))))),
% 39.28/25.74 inference(monotonicity,[status(thm)],[8680])).
% 39.28/25.74 tff(8682,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(transitivity,[status(thm)],[8681, 8679])).
% 39.28/25.74 tff(8683,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8684,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8683, 8682])).
% 39.28/25.74 tff(8685,plain,
% 39.28/25.74 (~v101(constB65)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8684, 133, 8678, 8675])).
% 39.28/25.74 tff(8686,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8687,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8688,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8687, 8686])).
% 39.28/25.74 tff(8689,plain,
% 39.28/25.74 (v101(constB65) | (~v100(constB65))),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8688, 150, 8678])).
% 39.28/25.74 tff(8690,plain,
% 39.28/25.74 (~v100(constB65)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8689, 8685])).
% 39.28/25.74 tff(8691,plain,
% 39.28/25.74 (((~![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))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8692,plain,
% 39.28/25.74 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8693,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(monotonicity,[status(thm)],[8692])).
% 39.28/25.74 tff(8694,plain,
% 39.28/25.74 (((~![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))),
% 39.28/25.74 inference(transitivity,[status(thm)],[8693, 8691])).
% 39.28/25.74 tff(8695,plain,
% 39.28/25.74 ((~![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))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8696,plain,
% 39.28/25.74 ((~![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)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8695, 8694])).
% 39.28/25.74 tff(8697,plain,
% 39.28/25.74 ((~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8696, 1049, 8678])).
% 39.28/25.74 tff(8698,plain,
% 39.28/25.74 ((~v90(constB64, bitIndex1)) | v90(constB65, bitIndex1)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8697, 8690])).
% 39.28/25.74 tff(8699,plain,
% 39.28/25.74 (v90(constB65, bitIndex1)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8698, 8672])).
% 39.28/25.74 tff(8700,plain,
% 39.28/25.74 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8701,plain,
% 39.28/25.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8702,plain,
% 39.28/25.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8701, 8700])).
% 39.28/25.74 tff(8703,plain,
% 39.28/25.74 (~v130(constB63, bitIndex0)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8702, 930, 8576])).
% 39.28/25.74 tff(8704,plain,
% 39.28/25.74 (((~![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))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8705,plain,
% 39.28/25.74 ((v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0))) <=> ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8706,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(monotonicity,[status(thm)],[8705])).
% 39.28/25.74 tff(8707,plain,
% 39.28/25.74 (((~![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))),
% 39.28/25.74 inference(transitivity,[status(thm)],[8706, 8704])).
% 39.28/25.74 tff(8708,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8709,plain,
% 39.28/25.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8708, 8707])).
% 39.28/25.74 tff(8710,plain,
% 39.28/25.74 ((~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8709, 944, 8604])).
% 39.28/25.74 tff(8711,plain,
% 39.28/25.74 (~v127(constB63, bitIndex0)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8710, 8703])).
% 39.28/25.74 tff(8712,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8713,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8714,plain,
% 39.28/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8713, 8712])).
% 39.28/25.74 tff(8715,plain,
% 39.28/25.74 (v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8714, 962, 8616])).
% 39.28/25.74 tff(8716,plain,
% 39.28/25.74 (~v129(constB64, bitIndex0)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8715, 8711])).
% 39.28/25.74 tff(8717,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8718,plain,
% 39.28/25.74 (((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8719,plain,
% 39.28/25.74 (((~![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))))),
% 39.28/25.74 inference(monotonicity,[status(thm)],[8718])).
% 39.28/25.74 tff(8720,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(transitivity,[status(thm)],[8719, 8717])).
% 39.28/25.74 tff(8721,plain,
% 39.28/25.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))),
% 39.28/25.74 inference(quant_inst,[status(thm)],[])).
% 39.28/25.74 tff(8722,plain,
% 39.28/25.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))),
% 39.28/25.74 inference(modus_ponens,[status(thm)],[8721, 8720])).
% 39.28/25.74 tff(8723,plain,
% 39.28/25.74 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8722, 977, 8716])).
% 39.28/25.74 tff(8724,plain,
% 39.28/25.74 (~v90(constB64, bitIndex0)),
% 39.28/25.74 inference(unit_resolution,[status(thm)],[8723, 8650])).
% 39.28/25.74 tff(8725,plain,
% 39.28/25.74 (((~![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)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8726,plain,
% 39.28/25.74 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 39.28/25.74 inference(rewrite,[status(thm)],[])).
% 39.28/25.74 tff(8727,plain,
% 39.28/25.74 (((~![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))))),
% 39.28/25.75 inference(monotonicity,[status(thm)],[8726])).
% 39.28/25.75 tff(8728,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(transitivity,[status(thm)],[8727, 8725])).
% 39.28/25.75 tff(8729,plain,
% 39.28/25.75 ((~![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)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8730,plain,
% 39.28/25.75 ((~![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))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8729, 8728])).
% 39.28/25.75 tff(8731,plain,
% 39.28/25.75 (v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8730, 207, 8678])).
% 39.28/25.75 tff(8732,plain,
% 39.28/25.75 (v90(constB64, bitIndex0) | (~v90(constB65, bitIndex0))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8731, 8690])).
% 39.28/25.75 tff(8733,plain,
% 39.28/25.75 (~v90(constB65, bitIndex0)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8732, 8724])).
% 39.28/25.75 tff(8734,assumption,(v124(constB59)), introduced(assumption)).
% 39.28/25.75 tff(8735,plain,
% 39.28/25.75 (v114(constB59)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[7901, 1236, 8734])).
% 39.28/25.75 tff(8736,plain,
% 39.28/25.75 (v113(constB59)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[7905, 294, 8735])).
% 39.28/25.75 tff(8737,plain,
% 39.28/25.75 (v112(constB59)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[7917, 8736])).
% 39.28/25.75 tff(8738,plain,
% 39.28/25.75 (v108(constB59)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[7921, 320, 8737])).
% 39.28/25.75 tff(8739,plain,
% 39.28/25.75 (v110(constB60)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[7932, 8738])).
% 39.28/25.75 tff(8740,plain,
% 39.28/25.75 (v100(constB60)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[7958, 8739])).
% 39.28/25.75 tff(8741,plain,
% 39.28/25.75 (v130(constB59, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[7962, 2303, 8734])).
% 39.28/25.75 tff(8742,plain,
% 39.28/25.75 (v127(constB59, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[7967, 8741])).
% 39.28/25.75 tff(8743,plain,
% 39.28/25.75 (v129(constB60, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[7972, 8742])).
% 39.28/25.75 tff(8744,plain,
% 39.28/25.75 (v90(constB60, bitIndex2) | (~v100(constB60))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[7979, 2100, 8743])).
% 39.28/25.75 tff(8745,plain,
% 39.28/25.75 (v90(constB60, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8744, 8740])).
% 39.28/25.75 tff(8746,plain,
% 39.28/25.75 (v90(constB61, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8007, 8745])).
% 39.28/25.75 tff(8747,assumption,(~v123(constB61)), introduced(assumption)).
% 39.28/25.75 tff(8748,plain,
% 39.28/25.75 (~v130(constB59, bitIndex0)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8042, 1519, 8734])).
% 39.28/25.75 tff(8749,plain,
% 39.28/25.75 (~v127(constB59, bitIndex0)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8050, 8748])).
% 39.28/25.75 tff(8750,plain,
% 39.28/25.75 (~v129(constB60, bitIndex0)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8055, 8749])).
% 39.28/25.75 tff(8751,plain,
% 39.28/25.75 ((~v90(constB60, bitIndex0)) | (~v100(constB60))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8062, 977, 8750])).
% 39.28/25.75 tff(8752,plain,
% 39.28/25.75 (~v90(constB60, bitIndex0)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8751, 8740])).
% 39.28/25.75 tff(8753,plain,
% 39.28/25.75 (~v90(constB61, bitIndex0)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8072, 8752])).
% 39.28/25.75 tff(8754,assumption,(~v90(constB61, bitIndex0)), introduced(assumption)).
% 39.28/25.75 tff(8755,assumption,(~v125(constB61)), introduced(assumption)).
% 39.28/25.75 tff(8756,plain,
% 39.28/25.75 (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8076, 1308, 8755])).
% 39.28/25.75 tff(8757,plain,
% 39.28/25.75 (~v90(constB61, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8756, 8754, 8511])).
% 39.28/25.75 tff(8758,plain,
% 39.28/25.75 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v123(constB61))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v123(constB61))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8759,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v123(constB61))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8760,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v123(constB61)),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8759, 8758])).
% 39.28/25.75 tff(8761,plain,
% 39.28/25.75 (v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8760, 1280, 8747])).
% 39.28/25.75 tff(8762,plain,
% 39.28/25.75 ($false),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8761, 8757, 8754, 8511])).
% 39.28/25.75 tff(8763,plain,(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2)) | v123(constB61) | v125(constB61)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.75 tff(8764,plain,
% 39.28/25.75 (v125(constB61)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8763, 8753, 8747, 8746])).
% 39.28/25.75 tff(8765,plain,
% 39.28/25.75 (v113(constB61)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8080, 1294, 8764])).
% 39.28/25.75 tff(8766,plain,
% 39.28/25.75 (v112(constB61)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8092, 8765])).
% 39.28/25.75 tff(8767,plain,
% 39.28/25.75 (v108(constB61)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8096, 320, 8766])).
% 39.28/25.75 tff(8768,plain,
% 39.28/25.75 (v110(constB62)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8107, 8767])).
% 39.28/25.75 tff(8769,plain,
% 39.28/25.75 (v100(constB62)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8133, 8768])).
% 39.28/25.75 tff(8770,plain,
% 39.28/25.75 (~v122(constB61)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8137, 3526, 8746])).
% 39.28/25.75 tff(8771,plain,
% 39.28/25.75 (v130(constB59, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8011, 2347, 8734])).
% 39.28/25.75 tff(8772,plain,
% 39.28/25.75 (v127(constB59, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8016, 8771])).
% 39.28/25.75 tff(8773,plain,
% 39.28/25.75 (v129(constB60, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8021, 8772])).
% 39.28/25.75 tff(8774,plain,
% 39.28/25.75 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8028, 912, 8773])).
% 39.28/25.75 tff(8775,plain,
% 39.28/25.75 (v90(constB60, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8774, 8740])).
% 39.28/25.75 tff(8776,plain,
% 39.28/25.75 (v90(constB61, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8038, 8775])).
% 39.28/25.75 tff(8777,plain,
% 39.28/25.75 (~v120(constB61)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8157, 2615, 8776])).
% 39.28/25.75 tff(8778,plain,
% 39.28/25.75 (~v121(constB61)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8149, 2586, 8746])).
% 39.28/25.75 tff(8779,plain,
% 39.28/25.75 (~v119(constB61)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8153, 2604, 8776])).
% 39.28/25.75 tff(8780,plain,
% 39.28/25.75 (~v124(constB61)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8141, 2637, 8776])).
% 39.28/25.75 tff(8781,plain,
% 39.28/25.75 (v124(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex1))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8164, 1562, 8747])).
% 39.28/25.75 tff(8782,plain,
% 39.28/25.75 (~v130(constB61, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8781, 8780, 8779, 8778, 8777, 8770])).
% 39.28/25.75 tff(8783,plain,
% 39.28/25.75 (~v127(constB61, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8172, 8782])).
% 39.28/25.75 tff(8784,plain,
% 39.28/25.75 (~v129(constB62, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8177, 8783])).
% 39.28/25.75 tff(8785,plain,
% 39.28/25.75 ((~v90(constB62, bitIndex1)) | (~v100(constB62))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8184, 560, 8784])).
% 39.28/25.75 tff(8786,plain,
% 39.28/25.75 (~v90(constB62, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8785, 8769])).
% 39.28/25.75 tff(8787,plain,
% 39.28/25.75 (~v90(constB63, bitIndex1)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8212, 8786])).
% 39.28/25.75 tff(8788,plain,
% 39.28/25.75 (v124(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~v130(constB61, bitIndex2))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8219, 1993, 8747])).
% 39.28/25.75 tff(8789,plain,
% 39.28/25.75 (~v130(constB61, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8788, 8780, 8779, 8778, 8777, 8770])).
% 39.28/25.75 tff(8790,plain,
% 39.28/25.75 (~v127(constB61, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8227, 8789])).
% 39.28/25.75 tff(8791,plain,
% 39.28/25.75 (~v129(constB62, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8232, 8790])).
% 39.28/25.75 tff(8792,plain,
% 39.28/25.75 ((~v90(constB62, bitIndex2)) | (~v100(constB62))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8239, 468, 8791])).
% 39.28/25.75 tff(8793,plain,
% 39.28/25.75 (~v90(constB62, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8792, 8769])).
% 39.28/25.75 tff(8794,plain,
% 39.28/25.75 (~v90(constB63, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8249, 8793])).
% 39.28/25.75 tff(8795,plain,
% 39.28/25.75 (v120(constB63)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8575, 8794, 8787])).
% 39.28/25.75 tff(8796,assumption,(v90(constB64, bitIndex2)), introduced(assumption)).
% 39.28/25.75 tff(8797,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8798,plain,
% 39.28/25.75 (((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2))) <=> (v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8799,plain,
% 39.28/25.75 (((~![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))))),
% 39.28/25.75 inference(monotonicity,[status(thm)],[8798])).
% 39.28/25.75 tff(8800,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(transitivity,[status(thm)],[8799, 8797])).
% 39.28/25.75 tff(8801,plain,
% 39.28/25.75 ((~![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)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8802,plain,
% 39.28/25.75 ((~![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))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 39.28/25.75 tff(8803,plain,
% 39.28/25.75 (v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8802, 165, 8616])).
% 39.28/25.75 tff(8804,plain,
% 39.28/25.75 (v100(constB64)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8803, 8794, 8796])).
% 39.28/25.75 tff(8805,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8806,plain,
% 39.28/25.75 (((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8807,plain,
% 39.28/25.75 (((~![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))))),
% 39.28/25.75 inference(monotonicity,[status(thm)],[8806])).
% 39.28/25.75 tff(8808,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(transitivity,[status(thm)],[8807, 8805])).
% 39.28/25.75 tff(8809,plain,
% 39.28/25.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8810,plain,
% 39.28/25.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 39.28/25.75 tff(8811,plain,
% 39.28/25.75 (v129(constB64, bitIndex2) | (~v100(constB64))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8810, 468, 8796])).
% 39.28/25.75 tff(8812,plain,
% 39.28/25.75 (v129(constB64, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8811, 8804])).
% 39.28/25.75 tff(8813,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8814,plain,
% 39.28/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8815,plain,
% 39.28/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8814, 8813])).
% 39.28/25.75 tff(8816,plain,
% 39.28/25.75 (v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8815, 453, 8616])).
% 39.28/25.75 tff(8817,plain,
% 39.28/25.75 (v127(constB63, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8816, 8812])).
% 39.28/25.75 tff(8818,plain,
% 39.28/25.75 (((~![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))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8819,plain,
% 39.28/25.75 ((v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2))) <=> ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8820,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(monotonicity,[status(thm)],[8819])).
% 39.28/25.75 tff(8821,plain,
% 39.28/25.75 (((~![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))),
% 39.28/25.75 inference(transitivity,[status(thm)],[8820, 8818])).
% 39.28/25.75 tff(8822,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8823,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8822, 8821])).
% 39.28/25.75 tff(8824,plain,
% 39.28/25.75 ((~v127(constB63, bitIndex2)) | v130(constB63, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8823, 435, 8604])).
% 39.28/25.75 tff(8825,plain,
% 39.28/25.75 (v130(constB63, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8824, 8817])).
% 39.28/25.75 tff(8826,plain,
% 39.28/25.75 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8827,plain,
% 39.28/25.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8828,plain,
% 39.28/25.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8827, 8826])).
% 39.28/25.75 tff(8829,plain,
% 39.28/25.75 ($false),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8828, 685, 8825, 8795])).
% 39.28/25.75 tff(8830,plain,((~v124(constB59)) | (~v90(constB64, bitIndex2)) | v123(constB61)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.75 tff(8831,plain,
% 39.28/25.75 (~v90(constB64, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8830, 8146, 7898])).
% 39.28/25.75 tff(8832,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8833,plain,
% 39.28/25.75 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8834,plain,
% 39.28/25.75 (((~![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))))),
% 39.28/25.75 inference(monotonicity,[status(thm)],[8833])).
% 39.28/25.75 tff(8835,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(transitivity,[status(thm)],[8834, 8832])).
% 39.28/25.75 tff(8836,plain,
% 39.28/25.75 ((~![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)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8837,plain,
% 39.28/25.75 ((~![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))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 39.28/25.75 tff(8838,plain,
% 39.28/25.75 (v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8837, 165, 8678])).
% 39.28/25.75 tff(8839,plain,
% 39.28/25.75 (v90(constB64, bitIndex2) | (~v90(constB65, bitIndex2))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8838, 8690])).
% 39.28/25.75 tff(8840,plain,
% 39.28/25.75 (~v90(constB65, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8839, 8831])).
% 39.28/25.75 tff(8841,plain,
% 39.28/25.75 (((~![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))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8842,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8843,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65)),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8842, 8841])).
% 39.28/25.75 tff(8844,plain,
% 39.28/25.75 (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v121(constB65)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8843, 996, 8840])).
% 39.28/25.75 tff(8845,plain,
% 39.28/25.75 (v121(constB65)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8844, 8733, 8699])).
% 39.28/25.75 tff(8846,plain,
% 39.28/25.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8847,plain,
% 39.28/25.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8848,plain,
% 39.28/25.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8847, 8846])).
% 39.28/25.75 tff(8849,plain,
% 39.28/25.75 (~v130(constB65, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8848, 1102, 8845])).
% 39.28/25.75 tff(8850,assumption,(v26(constB65)), introduced(assumption)).
% 39.28/25.75 tff(8851,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8852,plain,
% 39.28/25.75 ($false),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8851, 86, 8850])).
% 39.28/25.75 tff(8853,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.75 tff(8854,plain,
% 39.28/25.75 (((~![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))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8855,plain,
% 39.28/25.75 ((v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2))) <=> ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8856,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(monotonicity,[status(thm)],[8855])).
% 39.28/25.75 tff(8857,plain,
% 39.28/25.75 (((~![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))),
% 39.28/25.75 inference(transitivity,[status(thm)],[8856, 8854])).
% 39.28/25.75 tff(8858,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8859,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8858, 8857])).
% 39.28/25.75 tff(8860,plain,
% 39.28/25.75 ((~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8859, 435, 8853])).
% 39.28/25.75 tff(8861,plain,
% 39.28/25.75 (~v127(constB65, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8860, 8849])).
% 39.28/25.75 tff(8862,plain,
% 39.28/25.75 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8863,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 39.28/25.75 tff(8864,plain,
% 39.28/25.75 (nextState(constB65, constB66)),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8863, 8862])).
% 39.28/25.75 tff(8865,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8866,plain,
% 39.28/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8867,plain,
% 39.28/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8866, 8865])).
% 39.28/25.75 tff(8868,plain,
% 39.28/25.75 (v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8867, 453, 8864])).
% 39.28/25.75 tff(8869,plain,
% 39.28/25.75 (~v129(constB66, bitIndex2)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8868, 8861])).
% 39.28/25.75 tff(8870,assumption,(~v116(constB65)), introduced(assumption)).
% 39.28/25.75 tff(8871,plain,
% 39.28/25.75 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB65) | (~v117(constB65)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB65) | (~v117(constB65)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8872,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB65) | (~v117(constB65)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8873,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB65) | (~v117(constB65))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8872, 8871])).
% 39.28/25.75 tff(8874,plain,
% 39.28/25.75 (~v117(constB65)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8873, 261, 8870])).
% 39.28/25.75 tff(8875,plain,
% 39.28/25.75 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB65) | (~v121(constB65)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB65) | (~v121(constB65)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8876,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB65) | (~v121(constB65)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8877,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB65) | (~v121(constB65))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8876, 8875])).
% 39.28/25.75 tff(8878,plain,
% 39.28/25.75 (~v121(constB65)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8877, 1130, 8874])).
% 39.28/25.75 tff(8879,assumption,(~v90(constB65, bitIndex2)), introduced(assumption)).
% 39.28/25.75 tff(8880,plain,
% 39.28/25.75 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB65) | (~v118(constB65)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB65) | (~v118(constB65)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8881,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB65) | (~v118(constB65)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8882,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB65) | (~v118(constB65))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8881, 8880])).
% 39.28/25.75 tff(8883,plain,
% 39.28/25.75 (~v118(constB65)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8882, 250, 8874])).
% 39.28/25.75 tff(8884,assumption,(~v118(constB65)), introduced(assumption)).
% 39.28/25.75 tff(8885,plain,
% 39.28/25.75 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB65) | (~v119(constB65)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB65) | (~v119(constB65)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8886,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB65) | (~v119(constB65)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8887,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB65) | (~v119(constB65))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8886, 8885])).
% 39.28/25.75 tff(8888,plain,
% 39.28/25.75 (~v119(constB65)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8887, 239, 8884])).
% 39.28/25.75 tff(8889,plain,
% 39.28/25.75 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB65) | (~v120(constB65)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB65) | (~v120(constB65)))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8890,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB65) | (~v120(constB65)))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8891,plain,
% 39.28/25.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB65) | (~v120(constB65))),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8890, 8889])).
% 39.28/25.75 tff(8892,plain,
% 39.28/25.75 (~v120(constB65)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8891, 778, 8884])).
% 39.28/25.75 tff(8893,assumption,(~v90(constB65, bitIndex1)), introduced(assumption)).
% 39.28/25.75 tff(8894,plain,
% 39.28/25.75 (((~![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))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8895,plain,
% 39.28/25.75 (((~v90(constB65, bitIndex0)) | v120(constB65) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)) <=> ((~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | v120(constB65))),
% 39.28/25.75 inference(rewrite,[status(thm)],[])).
% 39.28/25.75 tff(8896,plain,
% 39.28/25.75 (((~![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)))),
% 39.28/25.75 inference(monotonicity,[status(thm)],[8895])).
% 39.28/25.75 tff(8897,plain,
% 39.28/25.75 (((~![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))),
% 39.28/25.75 inference(transitivity,[status(thm)],[8896, 8894])).
% 39.28/25.75 tff(8898,plain,
% 39.28/25.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex0)) | v120(constB65) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))),
% 39.28/25.75 inference(quant_inst,[status(thm)],[])).
% 39.28/25.75 tff(8899,plain,
% 39.28/25.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | v120(constB65)),
% 39.28/25.75 inference(modus_ponens,[status(thm)],[8898, 8897])).
% 39.28/25.75 tff(8900,plain,
% 39.28/25.75 ((~v90(constB65, bitIndex0)) | v90(constB65, bitIndex2) | v120(constB65)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8899, 668, 8893])).
% 39.28/25.75 tff(8901,plain,
% 39.28/25.75 (~v90(constB65, bitIndex0)),
% 39.28/25.75 inference(unit_resolution,[status(thm)],[8900, 8892, 8879])).
% 39.28/25.75 tff(8902,plain,
% 39.28/25.75 (((~![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))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8903,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB65) | v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8904,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB65) | v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8903, 8902])).
% 39.28/25.76 tff(8905,plain,
% 39.28/25.76 (v119(constB65) | v90(constB65, bitIndex0) | v90(constB65, bitIndex2)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8904, 228, 8893])).
% 39.28/25.76 tff(8906,plain,
% 39.28/25.76 ($false),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8905, 8901, 8888, 8879])).
% 39.28/25.76 tff(8907,plain,(v118(constB65) | v90(constB65, bitIndex2) | v90(constB65, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.76 tff(8908,plain,
% 39.28/25.76 (v90(constB65, bitIndex1)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8907, 8883, 8879])).
% 39.28/25.76 tff(8909,plain,
% 39.28/25.76 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB65) | (~v122(constB65)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB65) | (~v122(constB65)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8910,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB65) | (~v122(constB65)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8911,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB65) | (~v122(constB65))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8910, 8909])).
% 39.28/25.76 tff(8912,plain,
% 39.28/25.76 (~v122(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8911, 1149, 8870])).
% 39.28/25.76 tff(8913,plain,
% 39.28/25.76 (((~![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))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8914,plain,
% 39.28/25.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v122(constB65))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8915,plain,
% 39.28/25.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v122(constB65)),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8914, 8913])).
% 39.28/25.76 tff(8916,plain,
% 39.28/25.76 ((~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)) | v122(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8915, 1184, 8879])).
% 39.28/25.76 tff(8917,plain,
% 39.28/25.76 (~v90(constB65, bitIndex0)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8916, 8908, 8912])).
% 39.28/25.76 tff(8918,plain,
% 39.28/25.76 (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v121(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8843, 996, 8879])).
% 39.28/25.76 tff(8919,plain,
% 39.28/25.76 ($false),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8918, 8917, 8908, 8878])).
% 39.28/25.76 tff(8920,plain,(v116(constB65) | v90(constB65, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.76 tff(8921,plain,
% 39.28/25.76 (v116(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8920, 8840])).
% 39.28/25.76 tff(8922,plain,
% 39.28/25.76 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB65) | (~v116(constB65)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB65) | (~v116(constB65)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8923,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB65) | (~v116(constB65)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8924,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB65) | (~v116(constB65))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 39.28/25.76 tff(8925,plain,
% 39.28/25.76 (v115(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8924, 272, 8921])).
% 39.28/25.76 tff(8926,plain,
% 39.28/25.76 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB65) | (~v115(constB65)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8927,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB65) | (~v115(constB65)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8928,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB65) | (~v115(constB65))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8927, 8926])).
% 39.28/25.76 tff(8929,plain,
% 39.28/25.76 (v114(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8928, 283, 8925])).
% 39.28/25.76 tff(8930,plain,
% 39.28/25.76 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB65) | (~v114(constB65)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB65) | (~v114(constB65)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8931,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB65) | (~v114(constB65)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8932,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB65) | (~v114(constB65))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 39.28/25.76 tff(8933,plain,
% 39.28/25.76 (v113(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8932, 294, 8929])).
% 39.28/25.76 tff(8934,assumption,(~v108(constB65)), introduced(assumption)).
% 39.28/25.76 tff(8935,plain,
% 39.28/25.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8936,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8937,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8936, 8935])).
% 39.28/25.76 tff(8938,plain,
% 39.28/25.76 (~v112(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8937, 320, 8934])).
% 39.28/25.76 tff(8939,plain,
% 39.28/25.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB65) | (~v26(constB65)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB65) | (~v26(constB65)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8940,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB65) | (~v26(constB65)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8941,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB65) | (~v26(constB65))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8940, 8939])).
% 39.28/25.76 tff(8942,plain,
% 39.28/25.76 (~v26(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8941, 766, 8934])).
% 39.28/25.76 tff(8943,assumption,(v113(constB65)), introduced(assumption)).
% 39.28/25.76 tff(8944,plain,
% 39.28/25.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8945,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8946,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | (~v113(constB65)) | v112(constB65)),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 39.28/25.76 tff(8947,plain,
% 39.28/25.76 (v26(constB65) | v112(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8946, 308, 8943])).
% 39.28/25.76 tff(8948,plain,
% 39.28/25.76 ($false),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8947, 8942, 8938])).
% 39.28/25.76 tff(8949,plain,(v108(constB65) | (~v113(constB65))), inference(lemma,lemma(discharge,[]))).
% 39.28/25.76 tff(8950,plain,
% 39.28/25.76 (v108(constB65)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8949, 8933])).
% 39.28/25.76 tff(8951,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8952,plain,
% 39.28/25.76 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8953,plain,
% 39.28/25.76 (((~![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))))),
% 39.28/25.76 inference(monotonicity,[status(thm)],[8952])).
% 39.28/25.76 tff(8954,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(transitivity,[status(thm)],[8953, 8951])).
% 39.28/25.76 tff(8955,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8956,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8955, 8954])).
% 39.28/25.76 tff(8957,plain,
% 39.28/25.76 (v110(constB66) | (~v108(constB65))),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8956, 337, 8864])).
% 39.28/25.76 tff(8958,plain,
% 39.28/25.76 (v110(constB66)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8957, 8950])).
% 39.28/25.76 tff(8959,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8960,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8961,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 39.28/25.76 tff(8962,plain,
% 39.28/25.76 (~v104(constB66)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8961, 355, 8864, 8675])).
% 39.28/25.76 tff(8963,plain,
% 39.28/25.76 (((~![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))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8964,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8965,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8964, 8963])).
% 39.28/25.76 tff(8966,plain,
% 39.28/25.76 (v102(constB66) | v104(constB66)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8965, 369, 8864])).
% 39.28/25.76 tff(8967,plain,
% 39.28/25.76 (v102(constB66)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8966, 8962])).
% 39.28/25.76 tff(8968,plain,
% 39.28/25.76 (v1(constB66) <=> v1(constB66)),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8969,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 39.28/25.76 tff(8970,plain,
% 39.28/25.76 (v1(constB66)),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8969, 8968])).
% 39.28/25.76 tff(8971,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8972,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8973,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8972, 8971])).
% 39.28/25.76 tff(8974,plain,
% 39.28/25.76 (v101(constB66) | (~v102(constB66))),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8973, 387, 8864, 8970])).
% 39.28/25.76 tff(8975,plain,
% 39.28/25.76 (v101(constB66)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8974, 8967])).
% 39.28/25.76 tff(8976,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8977,plain,
% 39.28/25.76 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8978,plain,
% 39.28/25.76 (((~![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))))),
% 39.28/25.76 inference(monotonicity,[status(thm)],[8977])).
% 39.28/25.76 tff(8979,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(transitivity,[status(thm)],[8978, 8976])).
% 39.28/25.76 tff(8980,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8981,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8980, 8979])).
% 39.28/25.76 tff(8982,plain,
% 39.28/25.76 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8981, 402, 8864])).
% 39.28/25.76 tff(8983,plain,
% 39.28/25.76 (v100(constB66) | (~v110(constB66))),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8982, 8975])).
% 39.28/25.76 tff(8984,plain,
% 39.28/25.76 (v100(constB66)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8983, 8958])).
% 39.28/25.76 tff(8985,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8986,plain,
% 39.28/25.76 (((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2)) <=> ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8987,plain,
% 39.28/25.76 (((~![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))))),
% 39.28/25.76 inference(monotonicity,[status(thm)],[8986])).
% 39.28/25.76 tff(8988,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(transitivity,[status(thm)],[8987, 8985])).
% 39.28/25.76 tff(8989,plain,
% 39.28/25.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(8990,plain,
% 39.28/25.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8989, 8988])).
% 39.28/25.76 tff(8991,plain,
% 39.28/25.76 ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8990, 468, 8984])).
% 39.28/25.76 tff(8992,plain,
% 39.28/25.76 (~v90(constB66, bitIndex2)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[8991, 8869])).
% 39.28/25.76 tff(8993,plain,
% 39.28/25.76 ((~v1(constB67)) <=> (~v1(constB67))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8994,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 39.28/25.76 tff(8995,plain,
% 39.28/25.76 (~v1(constB67)),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8994, 8993])).
% 39.28/25.76 tff(8996,plain,
% 39.28/25.76 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(8997,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 39.28/25.76 tff(8998,plain,
% 39.28/25.76 (nextState(constB66, constB67)),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[8997, 8996])).
% 39.28/25.76 tff(8999,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9000,plain,
% 39.28/25.76 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9001,plain,
% 39.28/25.76 (((~![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))))),
% 39.28/25.76 inference(monotonicity,[status(thm)],[9000])).
% 39.28/25.76 tff(9002,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(transitivity,[status(thm)],[9001, 8999])).
% 39.28/25.76 tff(9003,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(9004,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[9003, 9002])).
% 39.28/25.76 tff(9005,plain,
% 39.28/25.76 (~v101(constB67)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9004, 133, 8998, 8995])).
% 39.28/25.76 tff(9006,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9007,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(9008,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[9007, 9006])).
% 39.28/25.76 tff(9009,plain,
% 39.28/25.76 (v101(constB67) | (~v100(constB67))),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9008, 150, 8998])).
% 39.28/25.76 tff(9010,plain,
% 39.28/25.76 (~v100(constB67)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9009, 9005])).
% 39.28/25.76 tff(9011,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9012,plain,
% 39.28/25.76 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))) <=> (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9013,plain,
% 39.28/25.76 (((~![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))))),
% 39.28/25.76 inference(monotonicity,[status(thm)],[9012])).
% 39.28/25.76 tff(9014,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(transitivity,[status(thm)],[9013, 9011])).
% 39.28/25.76 tff(9015,plain,
% 39.28/25.76 ((~![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)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(9016,plain,
% 39.28/25.76 ((~![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))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[9015, 9014])).
% 39.28/25.76 tff(9017,plain,
% 39.28/25.76 (v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9016, 165, 8998])).
% 39.28/25.76 tff(9018,plain,
% 39.28/25.76 (v90(constB66, bitIndex2) | (~v90(constB67, bitIndex2))),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9017, 9010])).
% 39.28/25.76 tff(9019,plain,
% 39.28/25.76 (~v90(constB67, bitIndex2)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9018, 8992])).
% 39.28/25.76 tff(9020,plain,
% 39.28/25.76 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB65)) | v130(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB65)) | v130(constB65, bitIndex1))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9021,plain,
% 39.28/25.76 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB65)) | v130(constB65, bitIndex1))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(9022,plain,
% 39.28/25.76 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB65)) | v130(constB65, bitIndex1)),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[9021, 9020])).
% 39.28/25.76 tff(9023,plain,
% 39.28/25.76 (v130(constB65, bitIndex1)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9022, 1717, 8845])).
% 39.28/25.76 tff(9024,plain,
% 39.28/25.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9025,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(9026,plain,
% 39.28/25.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1)),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[9025, 9024])).
% 39.28/25.76 tff(9027,plain,
% 39.28/25.76 ((~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9026, 882, 8853])).
% 39.28/25.76 tff(9028,plain,
% 39.28/25.76 (v127(constB65, bitIndex1)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9027, 9023])).
% 39.28/25.76 tff(9029,plain,
% 39.28/25.76 (((~![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))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9030,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(9031,plain,
% 39.28/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1)),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[9030, 9029])).
% 39.28/25.76 tff(9032,plain,
% 39.28/25.76 ((~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9031, 897, 8864])).
% 39.28/25.76 tff(9033,plain,
% 39.28/25.76 (v129(constB66, bitIndex1)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9032, 9028])).
% 39.28/25.76 tff(9034,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9035,plain,
% 39.28/25.76 ((v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1))) <=> (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9036,plain,
% 39.28/25.76 (((~![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))))),
% 39.28/25.76 inference(monotonicity,[status(thm)],[9035])).
% 39.28/25.76 tff(9037,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(transitivity,[status(thm)],[9036, 9034])).
% 39.28/25.76 tff(9038,plain,
% 39.28/25.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))),
% 39.28/25.76 inference(quant_inst,[status(thm)],[])).
% 39.28/25.76 tff(9039,plain,
% 39.28/25.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66))),
% 39.28/25.76 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 39.28/25.76 tff(9040,plain,
% 39.28/25.76 (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1))),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9039, 912, 8984])).
% 39.28/25.76 tff(9041,plain,
% 39.28/25.76 (v90(constB66, bitIndex1)),
% 39.28/25.76 inference(unit_resolution,[status(thm)],[9040, 9033])).
% 39.28/25.76 tff(9042,plain,
% 39.28/25.76 (((~![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))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9043,plain,
% 39.28/25.76 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 39.28/25.76 inference(rewrite,[status(thm)],[])).
% 39.28/25.76 tff(9044,plain,
% 39.28/25.76 (((~![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)))),
% 39.28/25.76 inference(monotonicity,[status(thm)],[9043])).
% 39.28/25.76 tff(9045,plain,
% 39.28/25.76 (((~![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))),
% 39.28/25.76 inference(transitivity,[status(thm)],[9044, 9042])).
% 39.28/25.77 tff(9046,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9047,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9046, 9045])).
% 39.28/25.77 tff(9048,plain,
% 39.28/25.77 ((~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9047, 1049, 8998])).
% 39.28/25.77 tff(9049,plain,
% 39.28/25.77 ((~v90(constB66, bitIndex1)) | v90(constB67, bitIndex1)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9048, 9010])).
% 39.28/25.77 tff(9050,plain,
% 39.28/25.77 (v90(constB67, bitIndex1)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9049, 9041])).
% 39.28/25.77 tff(9051,plain,
% 39.28/25.77 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9052,plain,
% 39.28/25.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9053,plain,
% 39.28/25.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9052, 9051])).
% 39.28/25.77 tff(9054,plain,
% 39.28/25.77 (v130(constB65, bitIndex0)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9053, 1758, 8845])).
% 39.28/25.77 tff(9055,plain,
% 39.28/25.77 (((~![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))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9056,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9057,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 39.28/25.77 tff(9058,plain,
% 39.28/25.77 ((~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9057, 601, 8853])).
% 39.28/25.77 tff(9059,plain,
% 39.28/25.77 (v127(constB65, bitIndex0)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9058, 9054])).
% 39.28/25.77 tff(9060,plain,
% 39.28/25.77 (((~![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))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9061,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9062,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9061, 9060])).
% 39.28/25.77 tff(9063,plain,
% 39.28/25.77 ((~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9062, 616, 8864])).
% 39.28/25.77 tff(9064,plain,
% 39.28/25.77 (v129(constB66, bitIndex0)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9063, 9059])).
% 39.28/25.77 tff(9065,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9066,plain,
% 39.28/25.77 ((v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9067,plain,
% 39.28/25.77 (((~![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))))),
% 39.28/25.77 inference(monotonicity,[status(thm)],[9066])).
% 39.28/25.77 tff(9068,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(transitivity,[status(thm)],[9067, 9065])).
% 39.28/25.77 tff(9069,plain,
% 39.28/25.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9070,plain,
% 39.28/25.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9069, 9068])).
% 39.28/25.77 tff(9071,plain,
% 39.28/25.77 (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0))),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9070, 631, 8984])).
% 39.28/25.77 tff(9072,plain,
% 39.28/25.77 (v90(constB66, bitIndex0)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9071, 9064])).
% 39.28/25.77 tff(9073,plain,
% 39.28/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9074,plain,
% 39.28/25.77 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9075,plain,
% 39.28/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)))),
% 39.28/25.77 inference(monotonicity,[status(thm)],[9074])).
% 39.28/25.77 tff(9076,plain,
% 39.28/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 39.28/25.77 inference(transitivity,[status(thm)],[9075, 9073])).
% 39.28/25.77 tff(9077,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9078,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9077, 9076])).
% 39.28/25.77 tff(9079,plain,
% 39.28/25.77 ((~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9078, 649, 8998])).
% 39.28/25.77 tff(9080,plain,
% 39.28/25.77 ((~v90(constB66, bitIndex0)) | v90(constB67, bitIndex0)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9079, 9010])).
% 39.28/25.77 tff(9081,plain,
% 39.28/25.77 (v90(constB67, bitIndex0)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9080, 9072])).
% 39.28/25.77 tff(9082,plain,
% 39.28/25.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9083,plain,
% 39.28/25.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9084,plain,
% 39.28/25.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9083, 9082])).
% 39.28/25.77 tff(9085,plain,
% 39.28/25.77 (v122(constB67)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9084, 1184, 9081, 9050, 9019])).
% 39.28/25.77 tff(9086,plain,
% 39.28/25.77 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB67) | (~v122(constB67)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB67) | (~v122(constB67)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9087,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB67) | (~v122(constB67)))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9088,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB67) | (~v122(constB67))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 39.28/25.77 tff(9089,plain,
% 39.28/25.77 (v116(constB67)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9088, 1149, 9085])).
% 39.28/25.77 tff(9090,plain,
% 39.28/25.77 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9091,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9092,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 39.28/25.77 tff(9093,plain,
% 39.28/25.77 (v115(constB67)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9092, 272, 9089])).
% 39.28/25.77 tff(9094,plain,
% 39.28/25.77 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9095,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9096,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 39.28/25.77 tff(9097,plain,
% 39.28/25.77 (v114(constB67)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9096, 283, 9093])).
% 39.28/25.77 tff(9098,plain,
% 39.28/25.77 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9099,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9100,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9099, 9098])).
% 39.28/25.77 tff(9101,plain,
% 39.28/25.77 (v113(constB67)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9100, 294, 9097])).
% 39.28/25.77 tff(9102,assumption,(v26(constB67)), introduced(assumption)).
% 39.28/25.77 tff(9103,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9104,plain,
% 39.28/25.77 ($false),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9103, 86, 9102])).
% 39.28/25.77 tff(9105,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.77 tff(9106,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9107,plain,
% 39.28/25.77 ((v26(constB67) | (~v113(constB67)) | v112(constB67)) <=> (v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9108,plain,
% 39.28/25.77 (((~![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))))),
% 39.28/25.77 inference(monotonicity,[status(thm)],[9107])).
% 39.28/25.77 tff(9109,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(transitivity,[status(thm)],[9108, 9106])).
% 39.28/25.77 tff(9110,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9111,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9110, 9109])).
% 39.28/25.77 tff(9112,plain,
% 39.28/25.77 (v112(constB67) | (~v113(constB67))),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9111, 308, 9105])).
% 39.28/25.77 tff(9113,plain,
% 39.28/25.77 (v112(constB67)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9112, 9101])).
% 39.28/25.77 tff(9114,plain,
% 39.28/25.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9115,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9116,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 39.28/25.77 tff(9117,plain,
% 39.28/25.77 (v108(constB67)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9116, 320, 9113])).
% 39.28/25.77 tff(9118,plain,
% 39.28/25.77 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9119,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 39.28/25.77 tff(9120,plain,
% 39.28/25.77 (nextState(constB67, constB68)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9119, 9118])).
% 39.28/25.77 tff(9121,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9122,plain,
% 39.28/25.77 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9123,plain,
% 39.28/25.77 (((~![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))))),
% 39.28/25.77 inference(monotonicity,[status(thm)],[9122])).
% 39.28/25.77 tff(9124,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(transitivity,[status(thm)],[9123, 9121])).
% 39.28/25.77 tff(9125,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9126,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9125, 9124])).
% 39.28/25.77 tff(9127,plain,
% 39.28/25.77 (v110(constB68) | (~v108(constB67))),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9126, 337, 9120])).
% 39.28/25.77 tff(9128,plain,
% 39.28/25.77 (v110(constB68)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9127, 9117])).
% 39.28/25.77 tff(9129,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9130,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9131,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9130, 9129])).
% 39.28/25.77 tff(9132,plain,
% 39.28/25.77 (~v104(constB68)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9131, 355, 9120, 8995])).
% 39.28/25.77 tff(9133,plain,
% 39.28/25.77 (((~![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))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9134,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9135,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 39.28/25.77 tff(9136,plain,
% 39.28/25.77 (v102(constB68) | v104(constB68)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9135, 369, 9120])).
% 39.28/25.77 tff(9137,plain,
% 39.28/25.77 (v102(constB68)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9136, 9132])).
% 39.28/25.77 tff(9138,plain,
% 39.28/25.77 (v1(constB68) <=> v1(constB68)),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9139,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 39.28/25.77 tff(9140,plain,
% 39.28/25.77 (v1(constB68)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9139, 9138])).
% 39.28/25.77 tff(9141,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9142,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9143,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9142, 9141])).
% 39.28/25.77 tff(9144,plain,
% 39.28/25.77 (v101(constB68) | (~v102(constB68))),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9143, 387, 9120, 9140])).
% 39.28/25.77 tff(9145,plain,
% 39.28/25.77 (v101(constB68)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9144, 9137])).
% 39.28/25.77 tff(9146,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9147,plain,
% 39.28/25.77 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9148,plain,
% 39.28/25.77 (((~![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))))),
% 39.28/25.77 inference(monotonicity,[status(thm)],[9147])).
% 39.28/25.77 tff(9149,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(transitivity,[status(thm)],[9148, 9146])).
% 39.28/25.77 tff(9150,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9151,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 39.28/25.77 tff(9152,plain,
% 39.28/25.77 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9151, 402, 9120])).
% 39.28/25.77 tff(9153,plain,
% 39.28/25.77 (v100(constB68) | (~v110(constB68))),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9152, 9145])).
% 39.28/25.77 tff(9154,plain,
% 39.28/25.77 (v100(constB68)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9153, 9128])).
% 39.28/25.77 tff(9155,plain,
% 39.28/25.77 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB67)) | v130(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB67)) | v130(constB67, bitIndex2))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9156,plain,
% 39.28/25.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB67)) | v130(constB67, bitIndex2))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9157,plain,
% 39.28/25.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB67)) | v130(constB67, bitIndex2)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9156, 9155])).
% 39.28/25.77 tff(9158,plain,
% 39.28/25.77 (v130(constB67, bitIndex2)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9157, 1803, 9085])).
% 39.28/25.77 tff(9159,plain,
% 39.28/25.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9160,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9161,plain,
% 39.28/25.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9160, 9159])).
% 39.28/25.77 tff(9162,plain,
% 39.28/25.77 ((~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9161, 1821, 9105])).
% 39.28/25.77 tff(9163,plain,
% 39.28/25.77 (v127(constB67, bitIndex2)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9162, 9158])).
% 39.28/25.77 tff(9164,plain,
% 39.28/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9165,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9166,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9165, 9164])).
% 39.28/25.77 tff(9167,plain,
% 39.28/25.77 ((~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9166, 1836, 9120])).
% 39.28/25.77 tff(9168,plain,
% 39.28/25.77 (v129(constB68, bitIndex2)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9167, 9163])).
% 39.28/25.77 tff(9169,plain,
% 39.28/25.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9170,plain,
% 39.28/25.77 ((v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2))) <=> (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9171,plain,
% 39.28/25.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68))))),
% 39.28/25.77 inference(monotonicity,[status(thm)],[9170])).
% 39.28/25.77 tff(9172,plain,
% 39.28/25.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 39.28/25.77 inference(transitivity,[status(thm)],[9171, 9169])).
% 39.28/25.77 tff(9173,plain,
% 39.28/25.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9174,plain,
% 39.28/25.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9173, 9172])).
% 39.28/25.77 tff(9175,plain,
% 39.28/25.77 (v90(constB68, bitIndex2) | (~v100(constB68))),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9174, 2100, 9168])).
% 39.28/25.77 tff(9176,plain,
% 39.28/25.77 (v90(constB68, bitIndex2)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9175, 9154])).
% 39.28/25.77 tff(9177,plain,
% 39.28/25.77 ((~v1(constB69)) <=> (~v1(constB69))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9178,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 39.28/25.77 tff(9179,plain,
% 39.28/25.77 (~v1(constB69)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 39.28/25.77 tff(9180,plain,
% 39.28/25.77 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9181,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 39.28/25.77 tff(9182,plain,
% 39.28/25.77 (nextState(constB68, constB69)),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9181, 9180])).
% 39.28/25.77 tff(9183,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9184,plain,
% 39.28/25.77 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9185,plain,
% 39.28/25.77 (((~![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))))),
% 39.28/25.77 inference(monotonicity,[status(thm)],[9184])).
% 39.28/25.77 tff(9186,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(transitivity,[status(thm)],[9185, 9183])).
% 39.28/25.77 tff(9187,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9188,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9187, 9186])).
% 39.28/25.77 tff(9189,plain,
% 39.28/25.77 (~v101(constB69)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9188, 133, 9182, 9179])).
% 39.28/25.77 tff(9190,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9191,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 39.28/25.77 inference(quant_inst,[status(thm)],[])).
% 39.28/25.77 tff(9192,plain,
% 39.28/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 39.28/25.77 inference(modus_ponens,[status(thm)],[9191, 9190])).
% 39.28/25.77 tff(9193,plain,
% 39.28/25.77 (v101(constB69) | (~v100(constB69))),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9192, 150, 9182])).
% 39.28/25.77 tff(9194,plain,
% 39.28/25.77 (~v100(constB69)),
% 39.28/25.77 inference(unit_resolution,[status(thm)],[9193, 9189])).
% 39.28/25.77 tff(9195,plain,
% 39.28/25.77 (((~![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))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9196,plain,
% 39.28/25.77 (((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2)) <=> ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 39.28/25.77 inference(rewrite,[status(thm)],[])).
% 39.28/25.77 tff(9197,plain,
% 39.28/25.77 (((~![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)))),
% 39.28/25.77 inference(monotonicity,[status(thm)],[9196])).
% 39.28/25.77 tff(9198,plain,
% 39.28/25.77 (((~![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))),
% 39.28/25.78 inference(transitivity,[status(thm)],[9197, 9195])).
% 39.28/25.78 tff(9199,plain,
% 39.28/25.78 ((~![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))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9200,plain,
% 39.28/25.78 ((~![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)),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9199, 9198])).
% 39.28/25.78 tff(9201,plain,
% 39.28/25.78 ((~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9200, 2118, 9182])).
% 39.28/25.78 tff(9202,plain,
% 39.28/25.78 ((~v90(constB68, bitIndex2)) | v90(constB69, bitIndex2)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9201, 9194])).
% 39.28/25.78 tff(9203,plain,
% 39.28/25.78 (v90(constB69, bitIndex2)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9202, 9176])).
% 39.28/25.78 tff(9204,plain,
% 39.28/25.78 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB67)) | (~v130(constB67, bitIndex1)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9205,plain,
% 39.28/25.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex1)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9206,plain,
% 39.28/25.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB67)) | (~v130(constB67, bitIndex1))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9205, 9204])).
% 39.28/25.78 tff(9207,plain,
% 39.28/25.78 (~v130(constB67, bitIndex1)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9206, 2137, 9085])).
% 39.28/25.78 tff(9208,plain,
% 39.28/25.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9209,plain,
% 39.28/25.78 ((v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1))) <=> ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9210,plain,
% 39.28/25.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)))),
% 39.28/25.78 inference(monotonicity,[status(thm)],[9209])).
% 39.28/25.78 tff(9211,plain,
% 39.28/25.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 39.28/25.78 inference(transitivity,[status(thm)],[9210, 9208])).
% 39.28/25.78 tff(9212,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9213,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9212, 9211])).
% 39.28/25.78 tff(9214,plain,
% 39.28/25.78 ((~v127(constB67, bitIndex1)) | v130(constB67, bitIndex1)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9213, 527, 9105])).
% 39.28/25.78 tff(9215,plain,
% 39.28/25.78 (~v127(constB67, bitIndex1)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9214, 9207])).
% 39.28/25.78 tff(9216,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9217,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9218,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9217, 9216])).
% 39.28/25.78 tff(9219,plain,
% 39.28/25.78 (v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9218, 545, 9120])).
% 39.28/25.78 tff(9220,plain,
% 39.28/25.78 (~v129(constB68, bitIndex1)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9219, 9215])).
% 39.28/25.78 tff(9221,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9222,plain,
% 39.28/25.78 (((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1)) <=> ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9223,plain,
% 39.28/25.78 (((~![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))))),
% 39.28/25.78 inference(monotonicity,[status(thm)],[9222])).
% 39.28/25.78 tff(9224,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(transitivity,[status(thm)],[9223, 9221])).
% 39.28/25.78 tff(9225,plain,
% 39.28/25.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9226,plain,
% 39.28/25.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9225, 9224])).
% 39.28/25.78 tff(9227,plain,
% 39.28/25.78 ((~v90(constB68, bitIndex1)) | (~v100(constB68))),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9226, 560, 9220])).
% 39.28/25.78 tff(9228,plain,
% 39.28/25.78 (~v90(constB68, bitIndex1)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9227, 9154])).
% 39.28/25.78 tff(9229,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9230,plain,
% 39.28/25.78 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))) <=> (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9231,plain,
% 39.28/25.78 (((~![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))))),
% 39.28/25.78 inference(monotonicity,[status(thm)],[9230])).
% 39.28/25.78 tff(9232,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(transitivity,[status(thm)],[9231, 9229])).
% 39.28/25.78 tff(9233,plain,
% 39.28/25.78 ((~![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)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9234,plain,
% 39.28/25.78 ((~![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))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9233, 9232])).
% 39.28/25.78 tff(9235,plain,
% 39.28/25.78 (v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9234, 186, 9182])).
% 39.28/25.78 tff(9236,plain,
% 39.28/25.78 (v90(constB68, bitIndex1) | (~v90(constB69, bitIndex1))),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9235, 9194])).
% 39.28/25.78 tff(9237,plain,
% 39.28/25.78 (~v90(constB69, bitIndex1)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9236, 9228])).
% 39.28/25.78 tff(9238,plain,
% 39.28/25.78 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9239,plain,
% 39.28/25.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9240,plain,
% 39.28/25.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9239, 9238])).
% 39.28/25.78 tff(9241,plain,
% 39.28/25.78 (~v130(constB67, bitIndex0)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9240, 1486, 9085])).
% 39.28/25.78 tff(9242,plain,
% 39.28/25.78 (((~![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))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9243,plain,
% 39.28/25.78 ((v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0))) <=> ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9244,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(monotonicity,[status(thm)],[9243])).
% 39.28/25.78 tff(9245,plain,
% 39.28/25.78 (((~![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))),
% 39.28/25.78 inference(transitivity,[status(thm)],[9244, 9242])).
% 39.28/25.78 tff(9246,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9247,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9246, 9245])).
% 39.28/25.78 tff(9248,plain,
% 39.28/25.78 ((~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9247, 944, 9105])).
% 39.28/25.78 tff(9249,plain,
% 39.28/25.78 (~v127(constB67, bitIndex0)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9248, 9241])).
% 39.28/25.78 tff(9250,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9251,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9252,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9251, 9250])).
% 39.28/25.78 tff(9253,plain,
% 39.28/25.78 (v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9252, 962, 9120])).
% 39.28/25.78 tff(9254,plain,
% 39.28/25.78 (~v129(constB68, bitIndex0)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9253, 9249])).
% 39.28/25.78 tff(9255,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9256,plain,
% 39.28/25.78 (((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0)) <=> ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9257,plain,
% 39.28/25.78 (((~![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))))),
% 39.28/25.78 inference(monotonicity,[status(thm)],[9256])).
% 39.28/25.78 tff(9258,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(transitivity,[status(thm)],[9257, 9255])).
% 39.28/25.78 tff(9259,plain,
% 39.28/25.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9260,plain,
% 39.28/25.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 39.28/25.78 tff(9261,plain,
% 39.28/25.78 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9260, 977, 9254])).
% 39.28/25.78 tff(9262,plain,
% 39.28/25.78 (~v90(constB68, bitIndex0)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9261, 9154])).
% 39.28/25.78 tff(9263,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9264,plain,
% 39.28/25.78 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))) <=> (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9265,plain,
% 39.28/25.78 (((~![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))))),
% 39.28/25.78 inference(monotonicity,[status(thm)],[9264])).
% 39.28/25.78 tff(9266,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(transitivity,[status(thm)],[9265, 9263])).
% 39.28/25.78 tff(9267,plain,
% 39.28/25.78 ((~![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)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9268,plain,
% 39.28/25.78 ((~![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))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9267, 9266])).
% 39.28/25.78 tff(9269,plain,
% 39.28/25.78 (v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9268, 207, 9182])).
% 39.28/25.78 tff(9270,plain,
% 39.28/25.78 (v90(constB68, bitIndex0) | (~v90(constB69, bitIndex0))),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9269, 9194])).
% 39.28/25.78 tff(9271,plain,
% 39.28/25.78 (~v90(constB69, bitIndex0)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9270, 9262])).
% 39.28/25.78 tff(9272,plain,
% 39.28/25.78 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9273,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9274,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69)),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9273, 9272])).
% 39.28/25.78 tff(9275,plain,
% 39.28/25.78 (v123(constB69)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9274, 1280, 9271, 9237, 9203])).
% 39.28/25.78 tff(9276,plain,
% 39.28/25.78 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB69) | (~v123(constB69)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB69) | (~v123(constB69)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9277,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB69) | (~v123(constB69)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9278,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB69) | (~v123(constB69))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 39.28/25.78 tff(9279,plain,
% 39.28/25.78 (v115(constB69)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9278, 1247, 9275])).
% 39.28/25.78 tff(9280,plain,
% 39.28/25.78 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9281,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9282,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9281, 9280])).
% 39.28/25.78 tff(9283,plain,
% 39.28/25.78 (v114(constB69)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9282, 283, 9279])).
% 39.28/25.78 tff(9284,plain,
% 39.28/25.78 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9285,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9286,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9285, 9284])).
% 39.28/25.78 tff(9287,plain,
% 39.28/25.78 (v113(constB69)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9286, 294, 9283])).
% 39.28/25.78 tff(9288,assumption,(v26(constB69)), introduced(assumption)).
% 39.28/25.78 tff(9289,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9290,plain,
% 39.28/25.78 ($false),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9289, 86, 9288])).
% 39.28/25.78 tff(9291,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.78 tff(9292,plain,
% 39.28/25.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9293,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9294,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69)),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9293, 9292])).
% 39.28/25.78 tff(9295,plain,
% 39.28/25.78 ((~v113(constB69)) | v112(constB69)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9294, 308, 9291])).
% 39.28/25.78 tff(9296,plain,
% 39.28/25.78 (v112(constB69)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9295, 9287])).
% 39.28/25.78 tff(9297,plain,
% 39.28/25.78 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9298,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9299,plain,
% 39.28/25.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 39.28/25.78 tff(9300,plain,
% 39.28/25.78 (v108(constB69)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9299, 320, 9296])).
% 39.28/25.78 tff(9301,plain,
% 39.28/25.78 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9302,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 39.28/25.78 tff(9303,plain,
% 39.28/25.78 (nextState(constB69, constB70)),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 39.28/25.78 tff(9304,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9305,plain,
% 39.28/25.78 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9306,plain,
% 39.28/25.78 (((~![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))))),
% 39.28/25.78 inference(monotonicity,[status(thm)],[9305])).
% 39.28/25.78 tff(9307,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(transitivity,[status(thm)],[9306, 9304])).
% 39.28/25.78 tff(9308,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9309,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9308, 9307])).
% 39.28/25.78 tff(9310,plain,
% 39.28/25.78 (v110(constB70) | (~v108(constB69))),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9309, 337, 9303])).
% 39.28/25.78 tff(9311,plain,
% 39.28/25.78 (v110(constB70)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9310, 9300])).
% 39.28/25.78 tff(9312,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9313,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9314,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 39.28/25.78 tff(9315,plain,
% 39.28/25.78 (~v104(constB70)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9314, 355, 9303, 9179])).
% 39.28/25.78 tff(9316,plain,
% 39.28/25.78 (((~![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))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9317,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9318,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9317, 9316])).
% 39.28/25.78 tff(9319,plain,
% 39.28/25.78 (v102(constB70) | v104(constB70)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9318, 369, 9303])).
% 39.28/25.78 tff(9320,plain,
% 39.28/25.78 (v102(constB70)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9319, 9315])).
% 39.28/25.78 tff(9321,plain,
% 39.28/25.78 (v1(constB70) <=> v1(constB70)),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9322,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 39.28/25.78 tff(9323,plain,
% 39.28/25.78 (v1(constB70)),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9322, 9321])).
% 39.28/25.78 tff(9324,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9325,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 39.28/25.78 inference(quant_inst,[status(thm)],[])).
% 39.28/25.78 tff(9326,plain,
% 39.28/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))),
% 39.28/25.78 inference(modus_ponens,[status(thm)],[9325, 9324])).
% 39.28/25.78 tff(9327,plain,
% 39.28/25.78 (v101(constB70) | (~v102(constB70))),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9326, 387, 9303, 9323])).
% 39.28/25.78 tff(9328,plain,
% 39.28/25.78 (v101(constB70)),
% 39.28/25.78 inference(unit_resolution,[status(thm)],[9327, 9320])).
% 39.28/25.78 tff(9329,plain,
% 39.28/25.78 (((~![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)))),
% 39.28/25.78 inference(rewrite,[status(thm)],[])).
% 39.28/25.78 tff(9330,plain,
% 39.28/25.78 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9331,plain,
% 39.28/25.79 (((~![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))))),
% 39.28/25.79 inference(monotonicity,[status(thm)],[9330])).
% 39.28/25.79 tff(9332,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(transitivity,[status(thm)],[9331, 9329])).
% 39.28/25.79 tff(9333,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9334,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9333, 9332])).
% 39.28/25.79 tff(9335,plain,
% 39.28/25.79 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9334, 402, 9303])).
% 39.28/25.79 tff(9336,plain,
% 39.28/25.79 (v100(constB70) | (~v110(constB70))),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9335, 9328])).
% 39.28/25.79 tff(9337,plain,
% 39.28/25.79 (v100(constB70)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9336, 9311])).
% 39.28/25.79 tff(9338,plain,
% 39.28/25.79 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB69)) | v130(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB69)) | v130(constB69, bitIndex2))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9339,plain,
% 39.28/25.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB69)) | v130(constB69, bitIndex2))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9340,plain,
% 39.28/25.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB69)) | v130(constB69, bitIndex2)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 39.28/25.79 tff(9341,plain,
% 39.28/25.79 (v130(constB69, bitIndex2)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9340, 2165, 9275])).
% 39.28/25.79 tff(9342,plain,
% 39.28/25.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9343,plain,
% 39.28/25.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9344,plain,
% 39.28/25.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9343, 9342])).
% 39.28/25.79 tff(9345,plain,
% 39.28/25.79 ((~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9344, 1821, 9291])).
% 39.28/25.79 tff(9346,plain,
% 39.28/25.79 (v127(constB69, bitIndex2)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9345, 9341])).
% 39.28/25.79 tff(9347,plain,
% 39.28/25.79 (((~![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))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9348,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9349,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9348, 9347])).
% 39.28/25.79 tff(9350,plain,
% 39.28/25.79 ((~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9349, 1836, 9303])).
% 39.28/25.79 tff(9351,plain,
% 39.28/25.79 (v129(constB70, bitIndex2)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9350, 9346])).
% 39.28/25.79 tff(9352,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9353,plain,
% 39.28/25.79 ((v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2))) <=> (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9354,plain,
% 39.28/25.79 (((~![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))))),
% 39.28/25.79 inference(monotonicity,[status(thm)],[9353])).
% 39.28/25.79 tff(9355,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(transitivity,[status(thm)],[9354, 9352])).
% 39.28/25.79 tff(9356,plain,
% 39.28/25.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9357,plain,
% 39.28/25.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70))),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9356, 9355])).
% 39.28/25.79 tff(9358,plain,
% 39.28/25.79 (v90(constB70, bitIndex2) | (~v100(constB70))),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9357, 2100, 9351])).
% 39.28/25.79 tff(9359,plain,
% 39.28/25.79 (v90(constB70, bitIndex2)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9358, 9337])).
% 39.28/25.79 tff(9360,plain,
% 39.28/25.79 ((~v1(constB71)) <=> (~v1(constB71))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9361,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 39.28/25.79 tff(9362,plain,
% 39.28/25.79 (~v1(constB71)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 39.28/25.79 tff(9363,plain,
% 39.28/25.79 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9364,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 39.28/25.79 tff(9365,plain,
% 39.28/25.79 (nextState(constB70, constB71)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9364, 9363])).
% 39.28/25.79 tff(9366,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9367,plain,
% 39.28/25.79 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9368,plain,
% 39.28/25.79 (((~![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))))),
% 39.28/25.79 inference(monotonicity,[status(thm)],[9367])).
% 39.28/25.79 tff(9369,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(transitivity,[status(thm)],[9368, 9366])).
% 39.28/25.79 tff(9370,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9371,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9370, 9369])).
% 39.28/25.79 tff(9372,plain,
% 39.28/25.79 (~v101(constB71)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9371, 133, 9365, 9362])).
% 39.28/25.79 tff(9373,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9374,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9375,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9374, 9373])).
% 39.28/25.79 tff(9376,plain,
% 39.28/25.79 (v101(constB71) | (~v100(constB71))),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9375, 150, 9365])).
% 39.28/25.79 tff(9377,plain,
% 39.28/25.79 (~v100(constB71)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9376, 9372])).
% 39.28/25.79 tff(9378,plain,
% 39.28/25.79 (((~![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))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9379,plain,
% 39.28/25.79 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2)) <=> ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9380,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(monotonicity,[status(thm)],[9379])).
% 39.28/25.79 tff(9381,plain,
% 39.28/25.79 (((~![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))),
% 39.28/25.79 inference(transitivity,[status(thm)],[9380, 9378])).
% 39.28/25.79 tff(9382,plain,
% 39.28/25.79 ((~![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))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9383,plain,
% 39.28/25.79 ((~![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)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9382, 9381])).
% 39.28/25.79 tff(9384,plain,
% 39.28/25.79 ((~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9383, 2118, 9365])).
% 39.28/25.79 tff(9385,plain,
% 39.28/25.79 ((~v90(constB70, bitIndex2)) | v90(constB71, bitIndex2)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9384, 9377])).
% 39.28/25.79 tff(9386,plain,
% 39.28/25.79 (v90(constB71, bitIndex2)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9385, 9359])).
% 39.28/25.79 tff(9387,plain,
% 39.28/25.79 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB69)) | (~v130(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB69)) | (~v130(constB69, bitIndex1)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9388,plain,
% 39.28/25.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB69)) | (~v130(constB69, bitIndex1)))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9389,plain,
% 39.28/25.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB69)) | (~v130(constB69, bitIndex1))),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9388, 9387])).
% 39.28/25.79 tff(9390,plain,
% 39.28/25.79 (~v130(constB69, bitIndex1)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9389, 1579, 9275])).
% 39.28/25.79 tff(9391,plain,
% 39.28/25.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9392,plain,
% 39.28/25.79 ((v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1))) <=> ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9393,plain,
% 39.28/25.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1)))),
% 39.28/25.79 inference(monotonicity,[status(thm)],[9392])).
% 39.28/25.79 tff(9394,plain,
% 39.28/25.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 39.28/25.79 inference(transitivity,[status(thm)],[9393, 9391])).
% 39.28/25.79 tff(9395,plain,
% 39.28/25.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9396,plain,
% 39.28/25.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9395, 9394])).
% 39.28/25.79 tff(9397,plain,
% 39.28/25.79 ((~v127(constB69, bitIndex1)) | v130(constB69, bitIndex1)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9396, 527, 9291])).
% 39.28/25.79 tff(9398,plain,
% 39.28/25.79 (~v127(constB69, bitIndex1)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9397, 9390])).
% 39.28/25.79 tff(9399,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9400,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9401,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1))),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9400, 9399])).
% 39.28/25.79 tff(9402,plain,
% 39.28/25.79 (v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1))),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9401, 545, 9303])).
% 39.28/25.79 tff(9403,plain,
% 39.28/25.79 (~v129(constB70, bitIndex1)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9402, 9398])).
% 39.28/25.79 tff(9404,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9405,plain,
% 39.28/25.79 (((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1)) <=> ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9406,plain,
% 39.28/25.79 (((~![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))))),
% 39.28/25.79 inference(monotonicity,[status(thm)],[9405])).
% 39.28/25.79 tff(9407,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(transitivity,[status(thm)],[9406, 9404])).
% 39.28/25.79 tff(9408,plain,
% 39.28/25.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9409,plain,
% 39.28/25.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70))),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9408, 9407])).
% 39.28/25.79 tff(9410,plain,
% 39.28/25.79 ((~v90(constB70, bitIndex1)) | (~v100(constB70))),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9409, 560, 9403])).
% 39.28/25.79 tff(9411,plain,
% 39.28/25.79 (~v90(constB70, bitIndex1)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9410, 9337])).
% 39.28/25.79 tff(9412,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9413,plain,
% 39.28/25.79 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1))) <=> (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9414,plain,
% 39.28/25.79 (((~![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))))),
% 39.28/25.79 inference(monotonicity,[status(thm)],[9413])).
% 39.28/25.79 tff(9415,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(transitivity,[status(thm)],[9414, 9412])).
% 39.28/25.79 tff(9416,plain,
% 39.28/25.79 ((~![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)))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9417,plain,
% 39.28/25.79 ((~![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))),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9416, 9415])).
% 39.28/25.79 tff(9418,plain,
% 39.28/25.79 (v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1))),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9417, 186, 9365])).
% 39.28/25.79 tff(9419,plain,
% 39.28/25.79 (v90(constB70, bitIndex1) | (~v90(constB71, bitIndex1))),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9418, 9377])).
% 39.28/25.79 tff(9420,plain,
% 39.28/25.79 (~v90(constB71, bitIndex1)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9419, 9411])).
% 39.28/25.79 tff(9421,plain,
% 39.28/25.79 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB69)) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB69)) | v130(constB69, bitIndex0))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9422,plain,
% 39.28/25.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB69)) | v130(constB69, bitIndex0))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9423,plain,
% 39.28/25.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB69)) | v130(constB69, bitIndex0)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9422, 9421])).
% 39.28/25.79 tff(9424,plain,
% 39.28/25.79 (v130(constB69, bitIndex0)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9423, 2258, 9275])).
% 39.28/25.79 tff(9425,plain,
% 39.28/25.79 (((~![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))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9426,plain,
% 39.28/25.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9427,plain,
% 39.28/25.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9426, 9425])).
% 39.28/25.79 tff(9428,plain,
% 39.28/25.79 ((~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9427, 601, 9291])).
% 39.28/25.79 tff(9429,plain,
% 39.28/25.79 (v127(constB69, bitIndex0)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9428, 9424])).
% 39.28/25.79 tff(9430,plain,
% 39.28/25.79 (((~![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))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9431,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9432,plain,
% 39.28/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9431, 9430])).
% 39.28/25.79 tff(9433,plain,
% 39.28/25.79 ((~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9432, 616, 9303])).
% 39.28/25.79 tff(9434,plain,
% 39.28/25.79 (v129(constB70, bitIndex0)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9433, 9429])).
% 39.28/25.79 tff(9435,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9436,plain,
% 39.28/25.79 ((v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0))) <=> (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9437,plain,
% 39.28/25.79 (((~![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))))),
% 39.28/25.79 inference(monotonicity,[status(thm)],[9436])).
% 39.28/25.79 tff(9438,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(transitivity,[status(thm)],[9437, 9435])).
% 39.28/25.79 tff(9439,plain,
% 39.28/25.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9440,plain,
% 39.28/25.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9439, 9438])).
% 39.28/25.79 tff(9441,plain,
% 39.28/25.79 (v90(constB70, bitIndex0) | (~v100(constB70))),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9440, 631, 9434])).
% 39.28/25.79 tff(9442,plain,
% 39.28/25.79 (v90(constB70, bitIndex0)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9441, 9337])).
% 39.28/25.79 tff(9443,plain,
% 39.28/25.79 (((~![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))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9444,plain,
% 39.28/25.79 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)) <=> ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 39.28/25.79 inference(rewrite,[status(thm)],[])).
% 39.28/25.79 tff(9445,plain,
% 39.28/25.79 (((~![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)))),
% 39.28/25.79 inference(monotonicity,[status(thm)],[9444])).
% 39.28/25.79 tff(9446,plain,
% 39.28/25.79 (((~![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))),
% 39.28/25.79 inference(transitivity,[status(thm)],[9445, 9443])).
% 39.28/25.79 tff(9447,plain,
% 39.28/25.79 ((~![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))),
% 39.28/25.79 inference(quant_inst,[status(thm)],[])).
% 39.28/25.79 tff(9448,plain,
% 39.28/25.79 ((~![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)),
% 39.28/25.79 inference(modus_ponens,[status(thm)],[9447, 9446])).
% 39.28/25.79 tff(9449,plain,
% 39.28/25.79 ((~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9448, 649, 9365])).
% 39.28/25.79 tff(9450,plain,
% 39.28/25.79 ((~v90(constB70, bitIndex0)) | v90(constB71, bitIndex0)),
% 39.28/25.79 inference(unit_resolution,[status(thm)],[9449, 9377])).
% 39.28/25.79 tff(9451,plain,
% 39.28/25.80 (v90(constB71, bitIndex0)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9450, 9442])).
% 39.28/25.80 tff(9452,plain,
% 39.28/25.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9453,plain,
% 39.28/25.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9454,plain,
% 39.28/25.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9453, 9452])).
% 39.28/25.80 tff(9455,plain,
% 39.28/25.80 (v124(constB71)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9454, 1264, 9451, 9420, 9386])).
% 39.28/25.80 tff(9456,plain,
% 39.28/25.80 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB71) | (~v124(constB71)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB71) | (~v124(constB71)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9457,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB71) | (~v124(constB71)))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9458,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB71) | (~v124(constB71))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 39.28/25.80 tff(9459,plain,
% 39.28/25.80 (v114(constB71)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9458, 1236, 9455])).
% 39.28/25.80 tff(9460,plain,
% 39.28/25.80 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9461,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9462,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9461, 9460])).
% 39.28/25.80 tff(9463,plain,
% 39.28/25.80 (v113(constB71)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9462, 294, 9459])).
% 39.28/25.80 tff(9464,assumption,(v26(constB71)), introduced(assumption)).
% 39.28/25.80 tff(9465,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9466,plain,
% 39.28/25.80 ($false),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9465, 86, 9464])).
% 39.28/25.80 tff(9467,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.80 tff(9468,plain,
% 39.28/25.80 (((~![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))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9469,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9470,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9469, 9468])).
% 39.28/25.80 tff(9471,plain,
% 39.28/25.80 ((~v113(constB71)) | v112(constB71)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9470, 308, 9467])).
% 39.28/25.80 tff(9472,plain,
% 39.28/25.80 (v112(constB71)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9471, 9463])).
% 39.28/25.80 tff(9473,plain,
% 39.28/25.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9474,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9475,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9474, 9473])).
% 39.28/25.80 tff(9476,plain,
% 39.28/25.80 (v108(constB71)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9475, 320, 9472])).
% 39.28/25.80 tff(9477,plain,
% 39.28/25.80 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9478,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 39.28/25.80 tff(9479,plain,
% 39.28/25.80 (nextState(constB71, constB72)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9478, 9477])).
% 39.28/25.80 tff(9480,plain,
% 39.28/25.80 (((~![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)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9481,plain,
% 39.28/25.80 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9482,plain,
% 39.28/25.80 (((~![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))))),
% 39.28/25.80 inference(monotonicity,[status(thm)],[9481])).
% 39.28/25.80 tff(9483,plain,
% 39.28/25.80 (((~![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)))),
% 39.28/25.80 inference(transitivity,[status(thm)],[9482, 9480])).
% 39.28/25.80 tff(9484,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9485,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9484, 9483])).
% 39.28/25.80 tff(9486,plain,
% 39.28/25.80 (v110(constB72) | (~v108(constB71))),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9485, 337, 9479])).
% 39.28/25.80 tff(9487,plain,
% 39.28/25.80 (v110(constB72)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9486, 9476])).
% 39.28/25.80 tff(9488,plain,
% 39.28/25.80 (((~![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)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9489,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9490,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9489, 9488])).
% 39.28/25.80 tff(9491,plain,
% 39.28/25.80 (~v104(constB72)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9490, 355, 9479, 9362])).
% 39.28/25.80 tff(9492,plain,
% 39.28/25.80 (((~![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))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9493,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9494,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9493, 9492])).
% 39.28/25.80 tff(9495,plain,
% 39.28/25.80 (v102(constB72) | v104(constB72)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9494, 369, 9479])).
% 39.28/25.80 tff(9496,plain,
% 39.28/25.80 (v102(constB72)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9495, 9491])).
% 39.28/25.80 tff(9497,plain,
% 39.28/25.80 (v1(constB72) <=> v1(constB72)),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9498,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 39.28/25.80 tff(9499,plain,
% 39.28/25.80 (v1(constB72)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9498, 9497])).
% 39.28/25.80 tff(9500,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9501,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9502,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9501, 9500])).
% 39.28/25.80 tff(9503,plain,
% 39.28/25.80 (v101(constB72) | (~v102(constB72))),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9502, 387, 9479, 9499])).
% 39.28/25.80 tff(9504,plain,
% 39.28/25.80 (v101(constB72)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9503, 9496])).
% 39.28/25.80 tff(9505,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9506,plain,
% 39.28/25.80 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9507,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 39.28/25.80 inference(monotonicity,[status(thm)],[9506])).
% 39.28/25.80 tff(9508,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 39.28/25.80 inference(transitivity,[status(thm)],[9507, 9505])).
% 39.28/25.80 tff(9509,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9510,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9509, 9508])).
% 39.28/25.80 tff(9511,plain,
% 39.28/25.80 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9510, 402, 9479])).
% 39.28/25.80 tff(9512,plain,
% 39.28/25.80 (v100(constB72) | (~v110(constB72))),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9511, 9504])).
% 39.28/25.80 tff(9513,plain,
% 39.28/25.80 (v100(constB72)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9512, 9487])).
% 39.28/25.80 tff(9514,plain,
% 39.28/25.80 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB71)) | v130(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB71)) | v130(constB71, bitIndex2))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9515,plain,
% 39.28/25.80 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB71)) | v130(constB71, bitIndex2))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9516,plain,
% 39.28/25.80 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB71)) | v130(constB71, bitIndex2)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9515, 9514])).
% 39.28/25.80 tff(9517,plain,
% 39.28/25.80 (v130(constB71, bitIndex2)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9516, 2303, 9455])).
% 39.28/25.80 tff(9518,plain,
% 39.28/25.80 (((~![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))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9519,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9520,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9519, 9518])).
% 39.28/25.80 tff(9521,plain,
% 39.28/25.80 ((~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9520, 1821, 9467])).
% 39.28/25.80 tff(9522,plain,
% 39.28/25.80 (v127(constB71, bitIndex2)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9521, 9517])).
% 39.28/25.80 tff(9523,plain,
% 39.28/25.80 (((~![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))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9524,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9525,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9524, 9523])).
% 39.28/25.80 tff(9526,plain,
% 39.28/25.80 ((~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9525, 1836, 9479])).
% 39.28/25.80 tff(9527,plain,
% 39.28/25.80 (v129(constB72, bitIndex2)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9526, 9522])).
% 39.28/25.80 tff(9528,plain,
% 39.28/25.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9529,plain,
% 39.28/25.80 ((v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2))) <=> (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9530,plain,
% 39.28/25.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))))),
% 39.28/25.80 inference(monotonicity,[status(thm)],[9529])).
% 39.28/25.80 tff(9531,plain,
% 39.28/25.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 39.28/25.80 inference(transitivity,[status(thm)],[9530, 9528])).
% 39.28/25.80 tff(9532,plain,
% 39.28/25.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9533,plain,
% 39.28/25.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9532, 9531])).
% 39.28/25.80 tff(9534,plain,
% 39.28/25.80 (v90(constB72, bitIndex2) | (~v100(constB72))),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9533, 2100, 9527])).
% 39.28/25.80 tff(9535,plain,
% 39.28/25.80 (v90(constB72, bitIndex2)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9534, 9513])).
% 39.28/25.80 tff(9536,plain,
% 39.28/25.80 ((~v1(constB73)) <=> (~v1(constB73))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9537,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 39.28/25.80 tff(9538,plain,
% 39.28/25.80 (~v1(constB73)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9537, 9536])).
% 39.28/25.80 tff(9539,plain,
% 39.28/25.80 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9540,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 39.28/25.80 tff(9541,plain,
% 39.28/25.80 (nextState(constB72, constB73)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9540, 9539])).
% 39.28/25.80 tff(9542,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9543,plain,
% 39.28/25.80 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9544,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 39.28/25.80 inference(monotonicity,[status(thm)],[9543])).
% 39.28/25.80 tff(9545,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 39.28/25.80 inference(transitivity,[status(thm)],[9544, 9542])).
% 39.28/25.80 tff(9546,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9547,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9546, 9545])).
% 39.28/25.80 tff(9548,plain,
% 39.28/25.80 (~v101(constB73)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9547, 133, 9541, 9538])).
% 39.28/25.80 tff(9549,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9550,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9551,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9550, 9549])).
% 39.28/25.80 tff(9552,plain,
% 39.28/25.80 (v101(constB73) | (~v100(constB73))),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9551, 150, 9541])).
% 39.28/25.80 tff(9553,plain,
% 39.28/25.80 (~v100(constB73)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9552, 9548])).
% 39.28/25.80 tff(9554,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9555,plain,
% 39.28/25.80 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)) <=> ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9556,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)))),
% 39.28/25.80 inference(monotonicity,[status(thm)],[9555])).
% 39.28/25.80 tff(9557,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 39.28/25.80 inference(transitivity,[status(thm)],[9556, 9554])).
% 39.28/25.80 tff(9558,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9559,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9558, 9557])).
% 39.28/25.80 tff(9560,plain,
% 39.28/25.80 ((~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9559, 2118, 9541])).
% 39.28/25.80 tff(9561,plain,
% 39.28/25.80 ((~v90(constB72, bitIndex2)) | v90(constB73, bitIndex2)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9560, 9553])).
% 39.28/25.80 tff(9562,plain,
% 39.28/25.80 (v90(constB73, bitIndex2)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9561, 9535])).
% 39.28/25.80 tff(9563,plain,
% 39.28/25.80 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB71)) | v130(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB71)) | v130(constB71, bitIndex1))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9564,plain,
% 39.28/25.80 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB71)) | v130(constB71, bitIndex1))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9565,plain,
% 39.28/25.80 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB71)) | v130(constB71, bitIndex1)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9564, 9563])).
% 39.28/25.80 tff(9566,plain,
% 39.28/25.80 (v130(constB71, bitIndex1)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9565, 2347, 9455])).
% 39.28/25.80 tff(9567,plain,
% 39.28/25.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9568,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9569,plain,
% 39.28/25.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9568, 9567])).
% 39.28/25.80 tff(9570,plain,
% 39.28/25.80 ((~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9569, 882, 9467])).
% 39.28/25.80 tff(9571,plain,
% 39.28/25.80 (v127(constB71, bitIndex1)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9570, 9566])).
% 39.28/25.80 tff(9572,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9573,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9574,plain,
% 39.28/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1)),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9573, 9572])).
% 39.28/25.80 tff(9575,plain,
% 39.28/25.80 ((~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9574, 897, 9479])).
% 39.28/25.80 tff(9576,plain,
% 39.28/25.80 (v129(constB72, bitIndex1)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9575, 9571])).
% 39.28/25.80 tff(9577,plain,
% 39.28/25.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9578,plain,
% 39.28/25.80 ((v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1))) <=> (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9579,plain,
% 39.28/25.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72))))),
% 39.28/25.80 inference(monotonicity,[status(thm)],[9578])).
% 39.28/25.80 tff(9580,plain,
% 39.28/25.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 39.28/25.80 inference(transitivity,[status(thm)],[9579, 9577])).
% 39.28/25.80 tff(9581,plain,
% 39.28/25.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))),
% 39.28/25.80 inference(quant_inst,[status(thm)],[])).
% 39.28/25.80 tff(9582,plain,
% 39.28/25.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72))),
% 39.28/25.80 inference(modus_ponens,[status(thm)],[9581, 9580])).
% 39.28/25.80 tff(9583,plain,
% 39.28/25.80 (v90(constB72, bitIndex1) | (~v100(constB72))),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9582, 912, 9576])).
% 39.28/25.80 tff(9584,plain,
% 39.28/25.80 (v90(constB72, bitIndex1)),
% 39.28/25.80 inference(unit_resolution,[status(thm)],[9583, 9513])).
% 39.28/25.80 tff(9585,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9586,plain,
% 39.28/25.80 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1)) <=> ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 39.28/25.80 inference(rewrite,[status(thm)],[])).
% 39.28/25.80 tff(9587,plain,
% 39.28/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1)))),
% 39.28/25.81 inference(monotonicity,[status(thm)],[9586])).
% 39.28/25.81 tff(9588,plain,
% 39.28/25.81 (((~![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))),
% 39.28/25.81 inference(transitivity,[status(thm)],[9587, 9585])).
% 39.28/25.81 tff(9589,plain,
% 39.28/25.81 ((~![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))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9590,plain,
% 39.28/25.81 ((~![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)),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9589, 9588])).
% 39.28/25.81 tff(9591,plain,
% 39.28/25.81 ((~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9590, 1049, 9541])).
% 39.28/25.81 tff(9592,plain,
% 39.28/25.81 ((~v90(constB72, bitIndex1)) | v90(constB73, bitIndex1)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9591, 9553])).
% 39.28/25.81 tff(9593,plain,
% 39.28/25.81 (v90(constB73, bitIndex1)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9592, 9584])).
% 39.28/25.81 tff(9594,plain,
% 39.28/25.81 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB71)) | (~v130(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB71)) | (~v130(constB71, bitIndex0)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9595,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB71)) | (~v130(constB71, bitIndex0)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9596,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB71)) | (~v130(constB71, bitIndex0))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9595, 9594])).
% 39.28/25.81 tff(9597,plain,
% 39.28/25.81 (~v130(constB71, bitIndex0)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9596, 1519, 9455])).
% 39.28/25.81 tff(9598,plain,
% 39.28/25.81 (((~![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))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9599,plain,
% 39.28/25.81 ((v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0))) <=> ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9600,plain,
% 39.28/25.81 (((~![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)))),
% 39.28/25.81 inference(monotonicity,[status(thm)],[9599])).
% 39.28/25.81 tff(9601,plain,
% 39.28/25.81 (((~![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))),
% 39.28/25.81 inference(transitivity,[status(thm)],[9600, 9598])).
% 39.28/25.81 tff(9602,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9603,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9602, 9601])).
% 39.28/25.81 tff(9604,plain,
% 39.28/25.81 ((~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9603, 944, 9467])).
% 39.28/25.81 tff(9605,plain,
% 39.28/25.81 (~v127(constB71, bitIndex0)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9604, 9597])).
% 39.28/25.81 tff(9606,plain,
% 39.28/25.81 (((~![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)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9607,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9608,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 39.28/25.81 tff(9609,plain,
% 39.28/25.81 (v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9608, 962, 9479])).
% 39.28/25.81 tff(9610,plain,
% 39.28/25.81 (~v129(constB72, bitIndex0)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9609, 9605])).
% 39.28/25.81 tff(9611,plain,
% 39.28/25.81 (((~![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)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9612,plain,
% 39.28/25.81 (((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0)) <=> ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9613,plain,
% 39.28/25.81 (((~![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))))),
% 39.28/25.81 inference(monotonicity,[status(thm)],[9612])).
% 39.28/25.81 tff(9614,plain,
% 39.28/25.81 (((~![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)))),
% 39.28/25.81 inference(transitivity,[status(thm)],[9613, 9611])).
% 39.28/25.81 tff(9615,plain,
% 39.28/25.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9616,plain,
% 39.28/25.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9615, 9614])).
% 39.28/25.81 tff(9617,plain,
% 39.28/25.81 ((~v90(constB72, bitIndex0)) | (~v100(constB72))),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9616, 977, 9610])).
% 39.28/25.81 tff(9618,plain,
% 39.28/25.81 (~v90(constB72, bitIndex0)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9617, 9513])).
% 39.28/25.81 tff(9619,plain,
% 39.28/25.81 (((~![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)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9620,plain,
% 39.28/25.81 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))) <=> (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9621,plain,
% 39.28/25.81 (((~![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))))),
% 39.28/25.81 inference(monotonicity,[status(thm)],[9620])).
% 39.28/25.81 tff(9622,plain,
% 39.28/25.81 (((~![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)))),
% 39.28/25.81 inference(transitivity,[status(thm)],[9621, 9619])).
% 39.28/25.81 tff(9623,plain,
% 39.28/25.81 ((~![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)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9624,plain,
% 39.28/25.81 ((~![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))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9623, 9622])).
% 39.28/25.81 tff(9625,plain,
% 39.28/25.81 (v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9624, 207, 9541])).
% 39.28/25.81 tff(9626,plain,
% 39.28/25.81 (v90(constB72, bitIndex0) | (~v90(constB73, bitIndex0))),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9625, 9553])).
% 39.28/25.81 tff(9627,plain,
% 39.28/25.81 (~v90(constB73, bitIndex0)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9626, 9618])).
% 39.28/25.81 tff(9628,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9629,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9630,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73)),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9629, 9628])).
% 39.28/25.81 tff(9631,plain,
% 39.28/25.81 (v125(constB73)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9630, 1308, 9627, 9593, 9562])).
% 39.28/25.81 tff(9632,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB73) | (~v125(constB73)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB73) | (~v125(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9633,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB73) | (~v125(constB73)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9634,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB73) | (~v125(constB73))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9633, 9632])).
% 39.28/25.81 tff(9635,plain,
% 39.28/25.81 (v113(constB73)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9634, 1294, 9631])).
% 39.28/25.81 tff(9636,assumption,(v26(constB73)), introduced(assumption)).
% 39.28/25.81 tff(9637,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9638,plain,
% 39.28/25.81 ($false),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9637, 86, 9636])).
% 39.28/25.81 tff(9639,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 39.28/25.81 tff(9640,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9641,plain,
% 39.28/25.81 ((v26(constB73) | (~v113(constB73)) | v112(constB73)) <=> (v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9642,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73))))),
% 39.28/25.81 inference(monotonicity,[status(thm)],[9641])).
% 39.28/25.81 tff(9643,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 39.28/25.81 inference(transitivity,[status(thm)],[9642, 9640])).
% 39.28/25.81 tff(9644,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9645,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 39.28/25.81 tff(9646,plain,
% 39.28/25.81 (v112(constB73) | (~v113(constB73))),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9645, 308, 9639])).
% 39.28/25.81 tff(9647,plain,
% 39.28/25.81 (v112(constB73)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9646, 9635])).
% 39.28/25.81 tff(9648,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9649,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9650,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9649, 9648])).
% 39.28/25.81 tff(9651,plain,
% 39.28/25.81 (v108(constB73)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9650, 320, 9647])).
% 39.28/25.81 tff(9652,plain,
% 39.28/25.81 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9653,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 39.28/25.81 tff(9654,plain,
% 39.28/25.81 (nextState(constB73, constB74)),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9653, 9652])).
% 39.28/25.81 tff(9655,plain,
% 39.28/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9656,plain,
% 39.28/25.81 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9657,plain,
% 39.28/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 39.28/25.81 inference(monotonicity,[status(thm)],[9656])).
% 39.28/25.81 tff(9658,plain,
% 39.28/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 39.28/25.81 inference(transitivity,[status(thm)],[9657, 9655])).
% 39.28/25.81 tff(9659,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9660,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9659, 9658])).
% 39.28/25.81 tff(9661,plain,
% 39.28/25.81 (v110(constB74) | (~v108(constB73))),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9660, 337, 9654])).
% 39.28/25.81 tff(9662,plain,
% 39.28/25.81 (v110(constB74)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9661, 9651])).
% 39.28/25.81 tff(9663,plain,
% 39.28/25.81 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9664,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9665,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 39.28/25.81 tff(9666,plain,
% 39.28/25.81 (~v104(constB74)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9665, 355, 9654, 9538])).
% 39.28/25.81 tff(9667,plain,
% 39.28/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9668,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9669,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 39.28/25.81 tff(9670,plain,
% 39.28/25.81 (v102(constB74) | v104(constB74)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9669, 369, 9654])).
% 39.28/25.81 tff(9671,plain,
% 39.28/25.81 (v102(constB74)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9670, 9666])).
% 39.28/25.81 tff(9672,plain,
% 39.28/25.81 (v1(constB74) <=> v1(constB74)),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9673,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 39.28/25.81 tff(9674,plain,
% 39.28/25.81 (v1(constB74)),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9673, 9672])).
% 39.28/25.81 tff(9675,plain,
% 39.28/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9676,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9677,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9676, 9675])).
% 39.28/25.81 tff(9678,plain,
% 39.28/25.81 (v101(constB74) | (~v102(constB74))),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9677, 387, 9654, 9674])).
% 39.28/25.81 tff(9679,plain,
% 39.28/25.81 (v101(constB74)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9678, 9671])).
% 39.28/25.81 tff(9680,plain,
% 39.28/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9681,plain,
% 39.28/25.81 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9682,plain,
% 39.28/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 39.28/25.81 inference(monotonicity,[status(thm)],[9681])).
% 39.28/25.81 tff(9683,plain,
% 39.28/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 39.28/25.81 inference(transitivity,[status(thm)],[9682, 9680])).
% 39.28/25.81 tff(9684,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9685,plain,
% 39.28/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9684, 9683])).
% 39.28/25.81 tff(9686,plain,
% 39.28/25.81 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9685, 402, 9654])).
% 39.28/25.81 tff(9687,plain,
% 39.28/25.81 (v100(constB74) | (~v110(constB74))),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9686, 9679])).
% 39.28/25.81 tff(9688,plain,
% 39.28/25.81 (v100(constB74)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9687, 9662])).
% 39.28/25.81 tff(9689,plain,
% 39.28/25.81 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB73)) | (~v90(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB73)) | (~v90(constB73, bitIndex1)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9690,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB73)) | (~v90(constB73, bitIndex1)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9691,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB73)) | (~v90(constB73, bitIndex1))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9690, 9689])).
% 39.28/25.81 tff(9692,plain,
% 39.28/25.81 (~v119(constB73)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9691, 2604, 9593])).
% 39.28/25.81 tff(9693,plain,
% 39.28/25.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v123(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v123(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9694,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v123(constB73)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9695,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v123(constB73))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9694, 9693])).
% 39.28/25.81 tff(9696,plain,
% 39.28/25.81 (~v123(constB73)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9695, 2626, 9593])).
% 39.28/25.81 tff(9697,plain,
% 39.28/25.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v124(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v124(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9698,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v124(constB73)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9699,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v124(constB73))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9698, 9697])).
% 39.28/25.81 tff(9700,plain,
% 39.28/25.81 (~v124(constB73)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9699, 2637, 9593])).
% 39.28/25.81 tff(9701,plain,
% 39.28/25.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v121(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v121(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9702,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v121(constB73)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9703,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v121(constB73))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9702, 9701])).
% 39.28/25.81 tff(9704,plain,
% 39.28/25.81 (~v121(constB73)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9703, 2586, 9562])).
% 39.28/25.81 tff(9705,plain,
% 39.28/25.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v122(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v122(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9706,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v122(constB73)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9707,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v122(constB73))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9706, 9705])).
% 39.28/25.81 tff(9708,plain,
% 39.28/25.81 (~v122(constB73)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9707, 3526, 9562])).
% 39.28/25.81 tff(9709,plain,
% 39.28/25.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v120(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v120(constB73)))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9710,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v120(constB73)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9711,plain,
% 39.28/25.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v120(constB73))),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9710, 9709])).
% 39.28/25.81 tff(9712,plain,
% 39.28/25.81 (~v120(constB73)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9711, 2615, 9593])).
% 39.28/25.81 tff(9713,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB73, bitIndex2)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB73, bitIndex2)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9714,plain,
% 39.28/25.81 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2))) <=> ((~v130(constB73, bitIndex2)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9715,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB73, bitIndex2)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73)))),
% 39.28/25.81 inference(monotonicity,[status(thm)],[9714])).
% 39.28/25.81 tff(9716,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB73, bitIndex2)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))),
% 39.28/25.81 inference(transitivity,[status(thm)],[9715, 9713])).
% 39.28/25.81 tff(9717,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9718,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB73, bitIndex2)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73)),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9717, 9716])).
% 39.28/25.81 tff(9719,plain,
% 39.28/25.81 (~v130(constB73, bitIndex2)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9718, 1993, 9712, 9708, 9704, 9700, 9696, 9692])).
% 39.28/25.81 tff(9720,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9721,plain,
% 39.28/25.81 ((v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2))) <=> ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 39.28/25.81 inference(rewrite,[status(thm)],[])).
% 39.28/25.81 tff(9722,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2)))),
% 39.28/25.81 inference(monotonicity,[status(thm)],[9721])).
% 39.28/25.81 tff(9723,plain,
% 39.28/25.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 39.28/25.81 inference(transitivity,[status(thm)],[9722, 9720])).
% 39.28/25.81 tff(9724,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))),
% 39.28/25.81 inference(quant_inst,[status(thm)],[])).
% 39.28/25.81 tff(9725,plain,
% 39.28/25.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2)),
% 39.28/25.81 inference(modus_ponens,[status(thm)],[9724, 9723])).
% 39.28/25.81 tff(9726,plain,
% 39.28/25.81 ((~v127(constB73, bitIndex2)) | v130(constB73, bitIndex2)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9725, 435, 9639])).
% 39.28/25.81 tff(9727,plain,
% 39.28/25.81 (~v127(constB73, bitIndex2)),
% 39.28/25.81 inference(unit_resolution,[status(thm)],[9726, 9719])).
% 39.28/25.81 tff(9728,plain,
% 39.28/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))),
% 39.28/25.82 inference(rewrite,[status(thm)],[])).
% 39.28/25.82 tff(9729,plain,
% 39.28/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))),
% 39.28/25.82 inference(quant_inst,[status(thm)],[])).
% 39.28/25.82 tff(9730,plain,
% 39.28/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2))),
% 39.28/25.82 inference(modus_ponens,[status(thm)],[9729, 9728])).
% 39.28/25.82 tff(9731,plain,
% 39.28/25.82 (v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2))),
% 39.28/25.82 inference(unit_resolution,[status(thm)],[9730, 453, 9654])).
% 39.38/25.82 tff(9732,plain,
% 39.38/25.82 (~v129(constB74, bitIndex2)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9731, 9727])).
% 39.38/25.82 tff(9733,plain,
% 39.38/25.82 (((~![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)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9734,plain,
% 39.38/25.82 (((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2)) <=> ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9735,plain,
% 39.38/25.82 (((~![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))))),
% 39.38/25.82 inference(monotonicity,[status(thm)],[9734])).
% 39.38/25.82 tff(9736,plain,
% 39.38/25.82 (((~![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)))),
% 39.38/25.82 inference(transitivity,[status(thm)],[9735, 9733])).
% 39.38/25.82 tff(9737,plain,
% 39.38/25.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9738,plain,
% 39.38/25.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74))),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9737, 9736])).
% 39.38/25.82 tff(9739,plain,
% 39.38/25.82 ((~v90(constB74, bitIndex2)) | (~v100(constB74))),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9738, 468, 9732])).
% 39.38/25.82 tff(9740,plain,
% 39.38/25.82 (~v90(constB74, bitIndex2)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9739, 9688])).
% 39.38/25.82 tff(9741,plain,
% 39.38/25.82 ((~v1(constB75)) <=> (~v1(constB75))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9742,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 39.38/25.82 tff(9743,plain,
% 39.38/25.82 (~v1(constB75)),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9742, 9741])).
% 39.38/25.82 tff(9744,plain,
% 39.38/25.82 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9745,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 39.38/25.82 tff(9746,plain,
% 39.38/25.82 (nextState(constB74, constB75)),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9745, 9744])).
% 39.38/25.82 tff(9747,plain,
% 39.38/25.82 (((~![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)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9748,plain,
% 39.38/25.82 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9749,plain,
% 39.38/25.82 (((~![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))))),
% 39.38/25.82 inference(monotonicity,[status(thm)],[9748])).
% 39.38/25.82 tff(9750,plain,
% 39.38/25.82 (((~![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)))),
% 39.38/25.82 inference(transitivity,[status(thm)],[9749, 9747])).
% 39.38/25.82 tff(9751,plain,
% 39.38/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9752,plain,
% 39.38/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 39.38/25.82 tff(9753,plain,
% 39.38/25.82 (~v101(constB75)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9752, 133, 9746, 9743])).
% 39.38/25.82 tff(9754,plain,
% 39.38/25.82 (((~![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)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9755,plain,
% 39.38/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9756,plain,
% 39.38/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9755, 9754])).
% 39.38/25.82 tff(9757,plain,
% 39.38/25.82 (v101(constB75) | (~v100(constB75))),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9756, 150, 9746])).
% 39.38/25.82 tff(9758,plain,
% 39.38/25.82 (~v100(constB75)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9757, 9753])).
% 39.38/25.82 tff(9759,plain,
% 39.38/25.82 (((~![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)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9760,plain,
% 39.38/25.82 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2))) <=> (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9761,plain,
% 39.38/25.82 (((~![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))))),
% 39.38/25.82 inference(monotonicity,[status(thm)],[9760])).
% 39.38/25.82 tff(9762,plain,
% 39.38/25.82 (((~![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)))),
% 39.38/25.82 inference(transitivity,[status(thm)],[9761, 9759])).
% 39.38/25.82 tff(9763,plain,
% 39.38/25.82 ((~![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)))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9764,plain,
% 39.38/25.82 ((~![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))),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9763, 9762])).
% 39.38/25.82 tff(9765,plain,
% 39.38/25.82 (v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2))),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9764, 165, 9746])).
% 39.38/25.82 tff(9766,plain,
% 39.38/25.82 (v90(constB74, bitIndex2) | (~v90(constB75, bitIndex2))),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9765, 9758])).
% 39.38/25.82 tff(9767,plain,
% 39.38/25.82 (~v90(constB75, bitIndex2)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9766, 9740])).
% 39.38/25.82 tff(9768,plain,
% 39.38/25.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB73, bitIndex1)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB73, bitIndex1)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9769,plain,
% 39.38/25.82 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1))) <=> ((~v130(constB73, bitIndex1)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9770,plain,
% 39.38/25.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB73, bitIndex1)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73)))),
% 39.38/25.82 inference(monotonicity,[status(thm)],[9769])).
% 39.38/25.82 tff(9771,plain,
% 39.38/25.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB73, bitIndex1)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))),
% 39.38/25.82 inference(transitivity,[status(thm)],[9770, 9768])).
% 39.38/25.82 tff(9772,plain,
% 39.38/25.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9773,plain,
% 39.38/25.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB73, bitIndex1)) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73)),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9772, 9771])).
% 39.38/25.82 tff(9774,plain,
% 39.38/25.82 (~v130(constB73, bitIndex1)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9773, 1562, 9712, 9708, 9704, 9700, 9696, 9692])).
% 39.38/25.82 tff(9775,plain,
% 39.38/25.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9776,plain,
% 39.38/25.82 ((v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1))) <=> ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9777,plain,
% 39.38/25.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1)))),
% 39.38/25.82 inference(monotonicity,[status(thm)],[9776])).
% 39.38/25.82 tff(9778,plain,
% 39.38/25.82 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 39.38/25.82 inference(transitivity,[status(thm)],[9777, 9775])).
% 39.38/25.82 tff(9779,plain,
% 39.38/25.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9780,plain,
% 39.38/25.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1)),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9779, 9778])).
% 39.38/25.82 tff(9781,plain,
% 39.38/25.82 ((~v127(constB73, bitIndex1)) | v130(constB73, bitIndex1)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9780, 527, 9639])).
% 39.38/25.82 tff(9782,plain,
% 39.38/25.82 (~v127(constB73, bitIndex1)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9781, 9774])).
% 39.38/25.82 tff(9783,plain,
% 39.38/25.82 (((~![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)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9784,plain,
% 39.38/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9785,plain,
% 39.38/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1))),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9784, 9783])).
% 39.38/25.82 tff(9786,plain,
% 39.38/25.82 (v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1))),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9785, 545, 9654])).
% 39.38/25.82 tff(9787,plain,
% 39.38/25.82 (~v129(constB74, bitIndex1)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9786, 9782])).
% 39.38/25.82 tff(9788,plain,
% 39.38/25.82 (((~![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)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9789,plain,
% 39.38/25.82 (((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1)) <=> ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9790,plain,
% 39.38/25.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74))))),
% 39.38/25.82 inference(monotonicity,[status(thm)],[9789])).
% 39.38/25.82 tff(9791,plain,
% 39.38/25.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 39.38/25.82 inference(transitivity,[status(thm)],[9790, 9788])).
% 39.38/25.82 tff(9792,plain,
% 39.38/25.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9793,plain,
% 39.38/25.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74))),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9792, 9791])).
% 39.38/25.82 tff(9794,plain,
% 39.38/25.82 ((~v90(constB74, bitIndex1)) | (~v100(constB74))),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9793, 560, 9787])).
% 39.38/25.82 tff(9795,plain,
% 39.38/25.82 (~v90(constB74, bitIndex1)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9794, 9688])).
% 39.38/25.82 tff(9796,plain,
% 39.38/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9797,plain,
% 39.38/25.82 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1))) <=> (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9798,plain,
% 39.38/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1))))),
% 39.38/25.82 inference(monotonicity,[status(thm)],[9797])).
% 39.38/25.82 tff(9799,plain,
% 39.38/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 39.38/25.82 inference(transitivity,[status(thm)],[9798, 9796])).
% 39.38/25.82 tff(9800,plain,
% 39.38/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9801,plain,
% 39.38/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1))),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9800, 9799])).
% 39.38/25.82 tff(9802,plain,
% 39.38/25.82 (v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1))),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9801, 186, 9746])).
% 39.38/25.82 tff(9803,plain,
% 39.38/25.82 (v90(constB74, bitIndex1) | (~v90(constB75, bitIndex1))),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9802, 9758])).
% 39.38/25.82 tff(9804,plain,
% 39.38/25.82 (~v90(constB75, bitIndex1)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9803, 9795])).
% 39.38/25.82 tff(9805,assumption,(~v130(constB73, bitIndex0)), introduced(assumption)).
% 39.38/25.82 tff(9806,assumption,(~v120(constB73)), introduced(assumption)).
% 39.38/25.82 tff(9807,assumption,(~v124(constB73)), introduced(assumption)).
% 39.38/25.82 tff(9808,assumption,(~v122(constB73)), introduced(assumption)).
% 39.38/25.82 tff(9809,plain,
% 39.38/25.82 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB73)) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB73)) | v130(constB73, bitIndex0))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9810,plain,
% 39.38/25.82 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB73)) | v130(constB73, bitIndex0))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9811,plain,
% 39.38/25.82 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB73)) | v130(constB73, bitIndex0)),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9810, 9809])).
% 39.38/25.82 tff(9812,plain,
% 39.38/25.82 (~v123(constB73)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9811, 2258, 9805])).
% 39.38/25.82 tff(9813,plain,
% 39.38/25.82 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB73)) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB73)) | v130(constB73, bitIndex0))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9814,plain,
% 39.38/25.82 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB73)) | v130(constB73, bitIndex0))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9815,plain,
% 39.38/25.82 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB73)) | v130(constB73, bitIndex0)),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 39.38/25.82 tff(9816,plain,
% 39.38/25.82 (~v119(constB73)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9815, 587, 9805])).
% 39.38/25.82 tff(9817,assumption,(~v121(constB73)), introduced(assumption)).
% 39.38/25.82 tff(9818,plain,
% 39.38/25.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB73, bitIndex0) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB73, bitIndex0) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9819,plain,
% 39.38/25.82 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0)) <=> (v130(constB73, bitIndex0) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9820,plain,
% 39.38/25.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB73, bitIndex0) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73)))),
% 39.38/25.82 inference(monotonicity,[status(thm)],[9819])).
% 39.38/25.82 tff(9821,plain,
% 39.38/25.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB73, bitIndex0) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73))),
% 39.38/25.82 inference(transitivity,[status(thm)],[9820, 9818])).
% 39.38/25.82 tff(9822,plain,
% 39.38/25.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9823,plain,
% 39.38/25.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB73, bitIndex0) | v124(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73)),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9822, 9821])).
% 39.38/25.82 tff(9824,plain,
% 39.38/25.82 (v130(constB73, bitIndex0) | v124(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v123(constB73)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9823, 2753, 9817])).
% 39.38/25.82 tff(9825,plain,
% 39.38/25.82 ($false),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9824, 9816, 9812, 9808, 9807, 9806, 9805])).
% 39.38/25.82 tff(9826,plain,(v130(constB73, bitIndex0) | v122(constB73) | v124(constB73) | v120(constB73) | v121(constB73)), inference(lemma,lemma(discharge,[]))).
% 39.38/25.82 tff(9827,plain,
% 39.38/25.82 (v130(constB73, bitIndex0)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9826, 9704, 9700, 9712, 9708])).
% 39.38/25.82 tff(9828,plain,
% 39.38/25.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9829,plain,
% 39.38/25.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9830,plain,
% 39.38/25.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0)),
% 39.38/25.82 inference(modus_ponens,[status(thm)],[9829, 9828])).
% 39.38/25.82 tff(9831,plain,
% 39.38/25.82 ((~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9830, 601, 9639])).
% 39.38/25.82 tff(9832,plain,
% 39.38/25.82 (v127(constB73, bitIndex0)),
% 39.38/25.82 inference(unit_resolution,[status(thm)],[9831, 9827])).
% 39.38/25.82 tff(9833,plain,
% 39.38/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))),
% 39.38/25.82 inference(rewrite,[status(thm)],[])).
% 39.38/25.82 tff(9834,plain,
% 39.38/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))),
% 39.38/25.82 inference(quant_inst,[status(thm)],[])).
% 39.38/25.82 tff(9835,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0)),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 39.38/25.83 tff(9836,plain,
% 39.38/25.83 ((~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9835, 616, 9654])).
% 39.38/25.83 tff(9837,plain,
% 39.38/25.83 (v129(constB74, bitIndex0)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9836, 9832])).
% 39.38/25.83 tff(9838,plain,
% 39.38/25.83 (((~![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)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9839,plain,
% 39.38/25.83 ((v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0))) <=> (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9840,plain,
% 39.38/25.83 (((~![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))))),
% 39.38/25.83 inference(monotonicity,[status(thm)],[9839])).
% 39.38/25.83 tff(9841,plain,
% 39.38/25.83 (((~![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)))),
% 39.38/25.83 inference(transitivity,[status(thm)],[9840, 9838])).
% 39.38/25.83 tff(9842,plain,
% 39.38/25.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9843,plain,
% 39.38/25.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9842, 9841])).
% 39.38/25.83 tff(9844,plain,
% 39.38/25.83 (v90(constB74, bitIndex0) | (~v100(constB74))),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9843, 631, 9837])).
% 39.38/25.83 tff(9845,plain,
% 39.38/25.83 (v90(constB74, bitIndex0)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9844, 9688])).
% 39.38/25.83 tff(9846,plain,
% 39.38/25.83 (((~![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))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9847,plain,
% 39.38/25.83 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0)) <=> ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9848,plain,
% 39.38/25.83 (((~![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)))),
% 39.38/25.83 inference(monotonicity,[status(thm)],[9847])).
% 39.38/25.83 tff(9849,plain,
% 39.38/25.83 (((~![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))),
% 39.38/25.83 inference(transitivity,[status(thm)],[9848, 9846])).
% 39.38/25.83 tff(9850,plain,
% 39.38/25.83 ((~![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))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9851,plain,
% 39.38/25.83 ((~![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)),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 39.38/25.83 tff(9852,plain,
% 39.38/25.83 ((~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9851, 649, 9746])).
% 39.38/25.83 tff(9853,plain,
% 39.38/25.83 ((~v90(constB74, bitIndex0)) | v90(constB75, bitIndex0)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9852, 9758])).
% 39.38/25.83 tff(9854,plain,
% 39.38/25.83 (v90(constB75, bitIndex0)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9853, 9845])).
% 39.38/25.83 tff(9855,plain,
% 39.38/25.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9856,plain,
% 39.38/25.83 (((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)) <=> ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9857,plain,
% 39.38/25.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75)))),
% 39.38/25.83 inference(monotonicity,[status(thm)],[9856])).
% 39.38/25.83 tff(9858,plain,
% 39.38/25.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 39.38/25.83 inference(transitivity,[status(thm)],[9857, 9855])).
% 39.38/25.83 tff(9859,plain,
% 39.38/25.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9860,plain,
% 39.38/25.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75)),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9859, 9858])).
% 39.38/25.83 tff(9861,plain,
% 39.38/25.83 (v120(constB75)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9860, 668, 9854, 9804, 9767])).
% 39.38/25.83 tff(9862,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB75) | (~v120(constB75)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB75) | (~v120(constB75)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9863,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB75) | (~v120(constB75)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9864,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB75) | (~v120(constB75))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9863, 9862])).
% 39.38/25.83 tff(9865,plain,
% 39.38/25.83 (v118(constB75)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9864, 778, 9861])).
% 39.38/25.83 tff(9866,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB75) | (~v118(constB75)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9867,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB75) | (~v118(constB75)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9868,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB75) | (~v118(constB75))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9867, 9866])).
% 39.38/25.83 tff(9869,plain,
% 39.38/25.83 (v117(constB75)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9868, 250, 9865])).
% 39.38/25.83 tff(9870,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB75) | (~v117(constB75)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB75) | (~v117(constB75)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9871,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB75) | (~v117(constB75)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9872,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB75) | (~v117(constB75))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9871, 9870])).
% 39.38/25.83 tff(9873,plain,
% 39.38/25.83 (v116(constB75)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9872, 261, 9869])).
% 39.38/25.83 tff(9874,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB75) | (~v116(constB75)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB75) | (~v116(constB75)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9875,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB75) | (~v116(constB75)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9876,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB75) | (~v116(constB75))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9875, 9874])).
% 39.38/25.83 tff(9877,plain,
% 39.38/25.83 (v115(constB75)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9876, 272, 9873])).
% 39.38/25.83 tff(9878,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB75) | (~v115(constB75)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB75) | (~v115(constB75)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9879,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB75) | (~v115(constB75)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9880,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB75) | (~v115(constB75))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9879, 9878])).
% 39.38/25.83 tff(9881,plain,
% 39.38/25.83 (v114(constB75)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9880, 283, 9877])).
% 39.38/25.83 tff(9882,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB75) | (~v114(constB75)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB75) | (~v114(constB75)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9883,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB75) | (~v114(constB75)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9884,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB75) | (~v114(constB75))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9883, 9882])).
% 39.38/25.83 tff(9885,plain,
% 39.38/25.83 (v113(constB75)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9884, 294, 9881])).
% 39.38/25.83 tff(9886,assumption,(v26(constB75)), introduced(assumption)).
% 39.38/25.83 tff(9887,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9888,plain,
% 39.38/25.83 ($false),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9887, 86, 9886])).
% 39.38/25.83 tff(9889,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 39.38/25.83 tff(9890,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9891,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9892,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75)),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9891, 9890])).
% 39.38/25.83 tff(9893,plain,
% 39.38/25.83 ((~v113(constB75)) | v112(constB75)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9892, 308, 9889])).
% 39.38/25.83 tff(9894,plain,
% 39.38/25.83 (v112(constB75)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9893, 9885])).
% 39.38/25.83 tff(9895,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9896,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9897,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9896, 9895])).
% 39.38/25.83 tff(9898,plain,
% 39.38/25.83 (v108(constB75)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9897, 320, 9894])).
% 39.38/25.83 tff(9899,plain,
% 39.38/25.83 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9900,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 39.38/25.83 tff(9901,plain,
% 39.38/25.83 (nextState(constB75, constB76)),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9900, 9899])).
% 39.38/25.83 tff(9902,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9903,plain,
% 39.38/25.83 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9904,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 39.38/25.83 inference(monotonicity,[status(thm)],[9903])).
% 39.38/25.83 tff(9905,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 39.38/25.83 inference(transitivity,[status(thm)],[9904, 9902])).
% 39.38/25.83 tff(9906,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9907,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9906, 9905])).
% 39.38/25.83 tff(9908,plain,
% 39.38/25.83 (v110(constB76) | (~v108(constB75))),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9907, 337, 9901])).
% 39.38/25.83 tff(9909,plain,
% 39.38/25.83 (v110(constB76)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9908, 9898])).
% 39.38/25.83 tff(9910,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9911,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9912,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9911, 9910])).
% 39.38/25.83 tff(9913,plain,
% 39.38/25.83 (~v104(constB76)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9912, 355, 9901, 9743])).
% 39.38/25.83 tff(9914,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9915,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9916,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9915, 9914])).
% 39.38/25.83 tff(9917,plain,
% 39.38/25.83 (v102(constB76) | v104(constB76)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9916, 369, 9901])).
% 39.38/25.83 tff(9918,plain,
% 39.38/25.83 (v102(constB76)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9917, 9913])).
% 39.38/25.83 tff(9919,plain,
% 39.38/25.83 (v1(constB76) <=> v1(constB76)),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9920,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 39.38/25.83 tff(9921,plain,
% 39.38/25.83 (v1(constB76)),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9920, 9919])).
% 39.38/25.83 tff(9922,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9923,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9924,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9923, 9922])).
% 39.38/25.83 tff(9925,plain,
% 39.38/25.83 (v101(constB76) | (~v102(constB76))),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9924, 387, 9901, 9921])).
% 39.38/25.83 tff(9926,plain,
% 39.38/25.83 (v101(constB76)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9925, 9918])).
% 39.38/25.83 tff(9927,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9928,plain,
% 39.38/25.83 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9929,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 39.38/25.83 inference(monotonicity,[status(thm)],[9928])).
% 39.38/25.83 tff(9930,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 39.38/25.83 inference(transitivity,[status(thm)],[9929, 9927])).
% 39.38/25.83 tff(9931,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9932,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9931, 9930])).
% 39.38/25.83 tff(9933,plain,
% 39.38/25.83 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9932, 402, 9901])).
% 39.38/25.83 tff(9934,plain,
% 39.38/25.83 (v100(constB76) | (~v110(constB76))),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9933, 9926])).
% 39.38/25.83 tff(9935,plain,
% 39.38/25.83 (v100(constB76)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9934, 9909])).
% 39.38/25.83 tff(9936,plain,
% 39.38/25.83 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB75)) | (~v130(constB75, bitIndex2)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9937,plain,
% 39.38/25.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex2)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9938,plain,
% 39.38/25.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB75)) | (~v130(constB75, bitIndex2))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9937, 9936])).
% 39.38/25.83 tff(9939,plain,
% 39.38/25.83 (~v130(constB75, bitIndex2)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9938, 685, 9861])).
% 39.38/25.83 tff(9940,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9941,plain,
% 39.38/25.83 ((v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2))) <=> ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9942,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)))),
% 39.38/25.83 inference(monotonicity,[status(thm)],[9941])).
% 39.38/25.83 tff(9943,plain,
% 39.38/25.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 39.38/25.83 inference(transitivity,[status(thm)],[9942, 9940])).
% 39.38/25.83 tff(9944,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9945,plain,
% 39.38/25.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9944, 9943])).
% 39.38/25.83 tff(9946,plain,
% 39.38/25.83 ((~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9945, 435, 9889])).
% 39.38/25.83 tff(9947,plain,
% 39.38/25.83 (~v127(constB75, bitIndex2)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9946, 9939])).
% 39.38/25.83 tff(9948,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9949,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9950,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9949, 9948])).
% 39.38/25.83 tff(9951,plain,
% 39.38/25.83 (v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9950, 453, 9901])).
% 39.38/25.83 tff(9952,plain,
% 39.38/25.83 (~v129(constB76, bitIndex2)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9951, 9947])).
% 39.38/25.83 tff(9953,plain,
% 39.38/25.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9954,plain,
% 39.38/25.83 (((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2)) <=> ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9955,plain,
% 39.38/25.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))))),
% 39.38/25.83 inference(monotonicity,[status(thm)],[9954])).
% 39.38/25.83 tff(9956,plain,
% 39.38/25.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 39.38/25.83 inference(transitivity,[status(thm)],[9955, 9953])).
% 39.38/25.83 tff(9957,plain,
% 39.38/25.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9958,plain,
% 39.38/25.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9957, 9956])).
% 39.38/25.83 tff(9959,plain,
% 39.38/25.83 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9958, 468, 9952])).
% 39.38/25.83 tff(9960,plain,
% 39.38/25.83 (~v90(constB76, bitIndex2)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9959, 9935])).
% 39.38/25.83 tff(9961,plain,
% 39.38/25.83 ((~v1(constB77)) <=> (~v1(constB77))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9962,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 39.38/25.83 tff(9963,plain,
% 39.38/25.83 (~v1(constB77)),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9962, 9961])).
% 39.38/25.83 tff(9964,plain,
% 39.38/25.83 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9965,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 39.38/25.83 tff(9966,plain,
% 39.38/25.83 (nextState(constB76, constB77)),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9965, 9964])).
% 39.38/25.83 tff(9967,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9968,plain,
% 39.38/25.83 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9969,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 39.38/25.83 inference(monotonicity,[status(thm)],[9968])).
% 39.38/25.83 tff(9970,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 39.38/25.83 inference(transitivity,[status(thm)],[9969, 9967])).
% 39.38/25.83 tff(9971,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9972,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9971, 9970])).
% 39.38/25.83 tff(9973,plain,
% 39.38/25.83 (~v101(constB77)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9972, 133, 9966, 9963])).
% 39.38/25.83 tff(9974,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9975,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9976,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9975, 9974])).
% 39.38/25.83 tff(9977,plain,
% 39.38/25.83 (v101(constB77) | (~v100(constB77))),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9976, 150, 9966])).
% 39.38/25.83 tff(9978,plain,
% 39.38/25.83 (~v100(constB77)),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9977, 9973])).
% 39.38/25.83 tff(9979,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9980,plain,
% 39.38/25.83 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))) <=> (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 39.38/25.83 inference(rewrite,[status(thm)],[])).
% 39.38/25.83 tff(9981,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))))),
% 39.38/25.83 inference(monotonicity,[status(thm)],[9980])).
% 39.38/25.83 tff(9982,plain,
% 39.38/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 39.38/25.83 inference(transitivity,[status(thm)],[9981, 9979])).
% 39.38/25.83 tff(9983,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 39.38/25.83 inference(quant_inst,[status(thm)],[])).
% 39.38/25.83 tff(9984,plain,
% 39.38/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 39.38/25.83 inference(modus_ponens,[status(thm)],[9983, 9982])).
% 39.38/25.83 tff(9985,plain,
% 39.38/25.83 (v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 39.38/25.83 inference(unit_resolution,[status(thm)],[9984, 165, 9966])).
% 39.38/25.84 tff(9986,plain,
% 39.38/25.84 (v90(constB76, bitIndex2) | (~v90(constB77, bitIndex2))),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[9985, 9978])).
% 39.38/25.84 tff(9987,plain,
% 39.38/25.84 (~v90(constB77, bitIndex2)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[9986, 9960])).
% 39.38/25.84 tff(9988,plain,
% 39.38/25.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB75)) | v130(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB75)) | v130(constB75, bitIndex1))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(9989,plain,
% 39.38/25.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB75)) | v130(constB75, bitIndex1))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(9990,plain,
% 39.38/25.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB75)) | v130(constB75, bitIndex1)),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[9989, 9988])).
% 39.38/25.84 tff(9991,plain,
% 39.38/25.84 (v130(constB75, bitIndex1)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[9990, 868, 9861])).
% 39.38/25.84 tff(9992,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(9993,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(9994,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1)),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[9993, 9992])).
% 39.38/25.84 tff(9995,plain,
% 39.38/25.84 ((~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[9994, 882, 9889])).
% 39.38/25.84 tff(9996,plain,
% 39.38/25.84 (v127(constB75, bitIndex1)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[9995, 9991])).
% 39.38/25.84 tff(9997,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(9998,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(9999,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1)),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[9998, 9997])).
% 39.38/25.84 tff(10000,plain,
% 39.38/25.84 ((~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[9999, 897, 9901])).
% 39.38/25.84 tff(10001,plain,
% 39.38/25.84 (v129(constB76, bitIndex1)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10000, 9996])).
% 39.38/25.84 tff(10002,plain,
% 39.38/25.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10003,plain,
% 39.38/25.84 ((v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1))) <=> (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10004,plain,
% 39.38/25.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76))))),
% 39.38/25.84 inference(monotonicity,[status(thm)],[10003])).
% 39.38/25.84 tff(10005,plain,
% 39.38/25.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 39.38/25.84 inference(transitivity,[status(thm)],[10004, 10002])).
% 39.38/25.84 tff(10006,plain,
% 39.38/25.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10007,plain,
% 39.38/25.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10006, 10005])).
% 39.38/25.84 tff(10008,plain,
% 39.38/25.84 (v90(constB76, bitIndex1) | (~v100(constB76))),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10007, 912, 10001])).
% 39.38/25.84 tff(10009,plain,
% 39.38/25.84 (v90(constB76, bitIndex1)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10008, 9935])).
% 39.38/25.84 tff(10010,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10011,plain,
% 39.38/25.84 (((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)) <=> ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10012,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)))),
% 39.38/25.84 inference(monotonicity,[status(thm)],[10011])).
% 39.38/25.84 tff(10013,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 39.38/25.84 inference(transitivity,[status(thm)],[10012, 10010])).
% 39.38/25.84 tff(10014,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10015,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10014, 10013])).
% 39.38/25.84 tff(10016,plain,
% 39.38/25.84 ((~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10015, 1049, 9966])).
% 39.38/25.84 tff(10017,plain,
% 39.38/25.84 ((~v90(constB76, bitIndex1)) | v90(constB77, bitIndex1)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10016, 9978])).
% 39.38/25.84 tff(10018,plain,
% 39.38/25.84 (v90(constB77, bitIndex1)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10017, 10009])).
% 39.38/25.84 tff(10019,plain,
% 39.38/25.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB75)) | (~v130(constB75, bitIndex0)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10020,plain,
% 39.38/25.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex0)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10021,plain,
% 39.38/25.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB75)) | (~v130(constB75, bitIndex0))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10020, 10019])).
% 39.38/25.84 tff(10022,plain,
% 39.38/25.84 (~v130(constB75, bitIndex0)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10021, 930, 9861])).
% 39.38/25.84 tff(10023,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10024,plain,
% 39.38/25.84 ((v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0))) <=> ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10025,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0)))),
% 39.38/25.84 inference(monotonicity,[status(thm)],[10024])).
% 39.38/25.84 tff(10026,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 39.38/25.84 inference(transitivity,[status(thm)],[10025, 10023])).
% 39.38/25.84 tff(10027,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10028,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0)),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10027, 10026])).
% 39.38/25.84 tff(10029,plain,
% 39.38/25.84 ((~v127(constB75, bitIndex0)) | v130(constB75, bitIndex0)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10028, 944, 9889])).
% 39.38/25.84 tff(10030,plain,
% 39.38/25.84 (~v127(constB75, bitIndex0)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10029, 10022])).
% 39.38/25.84 tff(10031,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10032,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10033,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10032, 10031])).
% 39.38/25.84 tff(10034,plain,
% 39.38/25.84 (v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0))),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10033, 962, 9901])).
% 39.38/25.84 tff(10035,plain,
% 39.38/25.84 (~v129(constB76, bitIndex0)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10034, 10030])).
% 39.38/25.84 tff(10036,plain,
% 39.38/25.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10037,plain,
% 39.38/25.84 (((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0)) <=> ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10038,plain,
% 39.38/25.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76))))),
% 39.38/25.84 inference(monotonicity,[status(thm)],[10037])).
% 39.38/25.84 tff(10039,plain,
% 39.38/25.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 39.38/25.84 inference(transitivity,[status(thm)],[10038, 10036])).
% 39.38/25.84 tff(10040,plain,
% 39.38/25.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10041,plain,
% 39.38/25.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10040, 10039])).
% 39.38/25.84 tff(10042,plain,
% 39.38/25.84 ((~v90(constB76, bitIndex0)) | (~v100(constB76))),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10041, 977, 10035])).
% 39.38/25.84 tff(10043,plain,
% 39.38/25.84 (~v90(constB76, bitIndex0)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10042, 9935])).
% 39.38/25.84 tff(10044,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10045,plain,
% 39.38/25.84 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))) <=> (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10046,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))))),
% 39.38/25.84 inference(monotonicity,[status(thm)],[10045])).
% 39.38/25.84 tff(10047,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 39.38/25.84 inference(transitivity,[status(thm)],[10046, 10044])).
% 39.38/25.84 tff(10048,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10049,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10048, 10047])).
% 39.38/25.84 tff(10050,plain,
% 39.38/25.84 (v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10049, 207, 9966])).
% 39.38/25.84 tff(10051,plain,
% 39.38/25.84 (v90(constB76, bitIndex0) | (~v90(constB77, bitIndex0))),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10050, 9978])).
% 39.38/25.84 tff(10052,plain,
% 39.38/25.84 (~v90(constB77, bitIndex0)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10051, 10043])).
% 39.38/25.84 tff(10053,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10054,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10055,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77)),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10054, 10053])).
% 39.38/25.84 tff(10056,plain,
% 39.38/25.84 (v121(constB77)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10055, 996, 10052, 10018, 9987])).
% 39.38/25.84 tff(10057,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB77) | (~v121(constB77)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB77) | (~v121(constB77)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10058,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB77) | (~v121(constB77)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10059,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB77) | (~v121(constB77))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10058, 10057])).
% 39.38/25.84 tff(10060,plain,
% 39.38/25.84 (v117(constB77)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10059, 1130, 10056])).
% 39.38/25.84 tff(10061,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10062,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10063,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10062, 10061])).
% 39.38/25.84 tff(10064,plain,
% 39.38/25.84 (v116(constB77)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10063, 261, 10060])).
% 39.38/25.84 tff(10065,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10066,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10067,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10066, 10065])).
% 39.38/25.84 tff(10068,plain,
% 39.38/25.84 (v115(constB77)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10067, 272, 10064])).
% 39.38/25.84 tff(10069,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10070,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10071,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10070, 10069])).
% 39.38/25.84 tff(10072,plain,
% 39.38/25.84 (v114(constB77)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10071, 283, 10068])).
% 39.38/25.84 tff(10073,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10074,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10075,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10074, 10073])).
% 39.38/25.84 tff(10076,plain,
% 39.38/25.84 (v113(constB77)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10075, 294, 10072])).
% 39.38/25.84 tff(10077,assumption,(v26(constB77)), introduced(assumption)).
% 39.38/25.84 tff(10078,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10079,plain,
% 39.38/25.84 ($false),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10078, 86, 10077])).
% 39.38/25.84 tff(10080,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 39.38/25.84 tff(10081,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10082,plain,
% 39.38/25.84 ((v26(constB77) | (~v113(constB77)) | v112(constB77)) <=> (v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10083,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77))))),
% 39.38/25.84 inference(monotonicity,[status(thm)],[10082])).
% 39.38/25.84 tff(10084,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 39.38/25.84 inference(transitivity,[status(thm)],[10083, 10081])).
% 39.38/25.84 tff(10085,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10086,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 39.38/25.84 tff(10087,plain,
% 39.38/25.84 (v112(constB77) | (~v113(constB77))),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10086, 308, 10080])).
% 39.38/25.84 tff(10088,plain,
% 39.38/25.84 (v112(constB77)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10087, 10076])).
% 39.38/25.84 tff(10089,plain,
% 39.38/25.84 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10090,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10091,plain,
% 39.38/25.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10090, 10089])).
% 39.38/25.84 tff(10092,plain,
% 39.38/25.84 (v108(constB77)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10091, 320, 10088])).
% 39.38/25.84 tff(10093,plain,
% 39.38/25.84 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10094,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 39.38/25.84 tff(10095,plain,
% 39.38/25.84 (nextState(constB77, constB78)),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10094, 10093])).
% 39.38/25.84 tff(10096,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10097,plain,
% 39.38/25.84 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10098,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 39.38/25.84 inference(monotonicity,[status(thm)],[10097])).
% 39.38/25.84 tff(10099,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 39.38/25.84 inference(transitivity,[status(thm)],[10098, 10096])).
% 39.38/25.84 tff(10100,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10101,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 39.38/25.84 tff(10102,plain,
% 39.38/25.84 (v110(constB78) | (~v108(constB77))),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10101, 337, 10095])).
% 39.38/25.84 tff(10103,plain,
% 39.38/25.84 (v110(constB78)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10102, 10092])).
% 39.38/25.84 tff(10104,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10105,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10106,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10105, 10104])).
% 39.38/25.84 tff(10107,plain,
% 39.38/25.84 (~v104(constB78)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10106, 355, 10095, 9963])).
% 39.38/25.84 tff(10108,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10109,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10110,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10109, 10108])).
% 39.38/25.84 tff(10111,plain,
% 39.38/25.84 (v102(constB78) | v104(constB78)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10110, 369, 10095])).
% 39.38/25.84 tff(10112,plain,
% 39.38/25.84 (v102(constB78)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10111, 10107])).
% 39.38/25.84 tff(10113,plain,
% 39.38/25.84 (v1(constB78) <=> v1(constB78)),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10114,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 39.38/25.84 tff(10115,plain,
% 39.38/25.84 (v1(constB78)),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10114, 10113])).
% 39.38/25.84 tff(10116,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 39.38/25.84 inference(rewrite,[status(thm)],[])).
% 39.38/25.84 tff(10117,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 39.38/25.84 inference(quant_inst,[status(thm)],[])).
% 39.38/25.84 tff(10118,plain,
% 39.38/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))),
% 39.38/25.84 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 39.38/25.84 tff(10119,plain,
% 39.38/25.84 (v101(constB78) | (~v102(constB78))),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10118, 387, 10095, 10115])).
% 39.38/25.84 tff(10120,plain,
% 39.38/25.84 (v101(constB78)),
% 39.38/25.84 inference(unit_resolution,[status(thm)],[10119, 10112])).
% 39.38/25.84 tff(10121,plain,
% 39.38/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10122,plain,
% 39.38/25.85 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10123,plain,
% 39.38/25.85 (((~![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))))),
% 39.38/25.85 inference(monotonicity,[status(thm)],[10122])).
% 39.38/25.85 tff(10124,plain,
% 39.38/25.85 (((~![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)))),
% 39.38/25.85 inference(transitivity,[status(thm)],[10123, 10121])).
% 39.38/25.85 tff(10125,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10126,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10125, 10124])).
% 39.38/25.85 tff(10127,plain,
% 39.38/25.85 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10126, 402, 10095])).
% 39.38/25.85 tff(10128,plain,
% 39.38/25.85 (v100(constB78) | (~v110(constB78))),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10127, 10120])).
% 39.38/25.85 tff(10129,plain,
% 39.38/25.85 (v100(constB78)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10128, 10103])).
% 39.38/25.85 tff(10130,plain,
% 39.38/25.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB77)) | (~v130(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB77)) | (~v130(constB77, bitIndex2)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10131,plain,
% 39.38/25.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB77)) | (~v130(constB77, bitIndex2)))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10132,plain,
% 39.38/25.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB77)) | (~v130(constB77, bitIndex2))),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 39.38/25.85 tff(10133,plain,
% 39.38/25.85 (~v130(constB77, bitIndex2)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10132, 1102, 10056])).
% 39.38/25.85 tff(10134,plain,
% 39.38/25.85 (((~![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))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10135,plain,
% 39.38/25.85 ((v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2))) <=> ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10136,plain,
% 39.38/25.85 (((~![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)))),
% 39.38/25.85 inference(monotonicity,[status(thm)],[10135])).
% 39.38/25.85 tff(10137,plain,
% 39.38/25.85 (((~![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))),
% 39.38/25.85 inference(transitivity,[status(thm)],[10136, 10134])).
% 39.38/25.85 tff(10138,plain,
% 39.38/25.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10139,plain,
% 39.38/25.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10138, 10137])).
% 39.38/25.85 tff(10140,plain,
% 39.38/25.85 ((~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10139, 435, 10080])).
% 39.38/25.85 tff(10141,plain,
% 39.38/25.85 (~v127(constB77, bitIndex2)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10140, 10133])).
% 39.38/25.85 tff(10142,plain,
% 39.38/25.85 (((~![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)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10143,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10144,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10143, 10142])).
% 39.38/25.85 tff(10145,plain,
% 39.38/25.85 (v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10144, 453, 10095])).
% 39.38/25.85 tff(10146,plain,
% 39.38/25.85 (~v129(constB78, bitIndex2)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10145, 10141])).
% 39.38/25.85 tff(10147,plain,
% 39.38/25.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10148,plain,
% 39.38/25.85 (((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2)) <=> ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10149,plain,
% 39.38/25.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))))),
% 39.38/25.85 inference(monotonicity,[status(thm)],[10148])).
% 39.38/25.85 tff(10150,plain,
% 39.38/25.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 39.38/25.85 inference(transitivity,[status(thm)],[10149, 10147])).
% 39.38/25.85 tff(10151,plain,
% 39.38/25.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10152,plain,
% 39.38/25.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 39.38/25.85 tff(10153,plain,
% 39.38/25.85 ((~v90(constB78, bitIndex2)) | (~v100(constB78))),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10152, 468, 10146])).
% 39.38/25.85 tff(10154,plain,
% 39.38/25.85 (~v90(constB78, bitIndex2)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10153, 10129])).
% 39.38/25.85 tff(10155,plain,
% 39.38/25.85 ((~v1(constB79)) <=> (~v1(constB79))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10156,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 39.38/25.85 tff(10157,plain,
% 39.38/25.85 (~v1(constB79)),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10156, 10155])).
% 39.38/25.85 tff(10158,plain,
% 39.38/25.85 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10159,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 39.38/25.85 tff(10160,plain,
% 39.38/25.85 (nextState(constB78, constB79)),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10159, 10158])).
% 39.38/25.85 tff(10161,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10162,plain,
% 39.38/25.85 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10163,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 39.38/25.85 inference(monotonicity,[status(thm)],[10162])).
% 39.38/25.85 tff(10164,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 39.38/25.85 inference(transitivity,[status(thm)],[10163, 10161])).
% 39.38/25.85 tff(10165,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10166,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10165, 10164])).
% 39.38/25.85 tff(10167,plain,
% 39.38/25.85 (~v101(constB79)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10166, 133, 10160, 10157])).
% 39.38/25.85 tff(10168,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10169,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10170,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10169, 10168])).
% 39.38/25.85 tff(10171,plain,
% 39.38/25.85 (v101(constB79) | (~v100(constB79))),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10170, 150, 10160])).
% 39.38/25.85 tff(10172,plain,
% 39.38/25.85 (~v100(constB79)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10171, 10167])).
% 39.38/25.85 tff(10173,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10174,plain,
% 39.38/25.85 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))) <=> (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10175,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))))),
% 39.38/25.85 inference(monotonicity,[status(thm)],[10174])).
% 39.38/25.85 tff(10176,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 39.38/25.85 inference(transitivity,[status(thm)],[10175, 10173])).
% 39.38/25.85 tff(10177,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10178,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10177, 10176])).
% 39.38/25.85 tff(10179,plain,
% 39.38/25.85 (v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10178, 165, 10160])).
% 39.38/25.85 tff(10180,plain,
% 39.38/25.85 (v90(constB78, bitIndex2) | (~v90(constB79, bitIndex2))),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10179, 10172])).
% 39.38/25.85 tff(10181,plain,
% 39.38/25.85 (~v90(constB79, bitIndex2)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10180, 10154])).
% 39.38/25.85 tff(10182,plain,
% 39.38/25.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB77)) | v130(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB77)) | v130(constB77, bitIndex1))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10183,plain,
% 39.38/25.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB77)) | v130(constB77, bitIndex1))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10184,plain,
% 39.38/25.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB77)) | v130(constB77, bitIndex1)),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10183, 10182])).
% 39.38/25.85 tff(10185,plain,
% 39.38/25.85 (v130(constB77, bitIndex1)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10184, 1717, 10056])).
% 39.38/25.85 tff(10186,plain,
% 39.38/25.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10187,plain,
% 39.38/25.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10188,plain,
% 39.38/25.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 39.38/25.85 tff(10189,plain,
% 39.38/25.85 ((~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10188, 882, 10080])).
% 39.38/25.85 tff(10190,plain,
% 39.38/25.85 (v127(constB77, bitIndex1)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10189, 10185])).
% 39.38/25.85 tff(10191,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10192,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10193,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10192, 10191])).
% 39.38/25.85 tff(10194,plain,
% 39.38/25.85 ((~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10193, 897, 10095])).
% 39.38/25.85 tff(10195,plain,
% 39.38/25.85 (v129(constB78, bitIndex1)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10194, 10190])).
% 39.38/25.85 tff(10196,plain,
% 39.38/25.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10197,plain,
% 39.38/25.85 ((v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1))) <=> (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10198,plain,
% 39.38/25.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))))),
% 39.38/25.85 inference(monotonicity,[status(thm)],[10197])).
% 39.38/25.85 tff(10199,plain,
% 39.38/25.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 39.38/25.85 inference(transitivity,[status(thm)],[10198, 10196])).
% 39.38/25.85 tff(10200,plain,
% 39.38/25.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10201,plain,
% 39.38/25.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10200, 10199])).
% 39.38/25.85 tff(10202,plain,
% 39.38/25.85 (v90(constB78, bitIndex1) | (~v100(constB78))),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10201, 912, 10195])).
% 39.38/25.85 tff(10203,plain,
% 39.38/25.85 (v90(constB78, bitIndex1)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10202, 10129])).
% 39.38/25.85 tff(10204,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10205,plain,
% 39.38/25.85 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)) <=> ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10206,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)))),
% 39.38/25.85 inference(monotonicity,[status(thm)],[10205])).
% 39.38/25.85 tff(10207,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 39.38/25.85 inference(transitivity,[status(thm)],[10206, 10204])).
% 39.38/25.85 tff(10208,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10209,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10208, 10207])).
% 39.38/25.85 tff(10210,plain,
% 39.38/25.85 ((~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10209, 1049, 10160])).
% 39.38/25.85 tff(10211,plain,
% 39.38/25.85 ((~v90(constB78, bitIndex1)) | v90(constB79, bitIndex1)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10210, 10172])).
% 39.38/25.85 tff(10212,plain,
% 39.38/25.85 (v90(constB79, bitIndex1)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10211, 10203])).
% 39.38/25.85 tff(10213,plain,
% 39.38/25.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB77)) | v130(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB77)) | v130(constB77, bitIndex0))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10214,plain,
% 39.38/25.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB77)) | v130(constB77, bitIndex0))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10215,plain,
% 39.38/25.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB77)) | v130(constB77, bitIndex0)),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10214, 10213])).
% 39.38/25.85 tff(10216,plain,
% 39.38/25.85 (v130(constB77, bitIndex0)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10215, 1758, 10056])).
% 39.38/25.85 tff(10217,plain,
% 39.38/25.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10218,plain,
% 39.38/25.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10219,plain,
% 39.38/25.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0)),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10218, 10217])).
% 39.38/25.85 tff(10220,plain,
% 39.38/25.85 ((~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10219, 601, 10080])).
% 39.38/25.85 tff(10221,plain,
% 39.38/25.85 (v127(constB77, bitIndex0)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10220, 10216])).
% 39.38/25.85 tff(10222,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10223,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10224,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0)),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10223, 10222])).
% 39.38/25.85 tff(10225,plain,
% 39.38/25.85 ((~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10224, 616, 10095])).
% 39.38/25.85 tff(10226,plain,
% 39.38/25.85 (v129(constB78, bitIndex0)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10225, 10221])).
% 39.38/25.85 tff(10227,plain,
% 39.38/25.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10228,plain,
% 39.38/25.85 ((v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0))) <=> (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10229,plain,
% 39.38/25.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78))))),
% 39.38/25.85 inference(monotonicity,[status(thm)],[10228])).
% 39.38/25.85 tff(10230,plain,
% 39.38/25.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 39.38/25.85 inference(transitivity,[status(thm)],[10229, 10227])).
% 39.38/25.85 tff(10231,plain,
% 39.38/25.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))),
% 39.38/25.85 inference(quant_inst,[status(thm)],[])).
% 39.38/25.85 tff(10232,plain,
% 39.38/25.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78))),
% 39.38/25.85 inference(modus_ponens,[status(thm)],[10231, 10230])).
% 39.38/25.85 tff(10233,plain,
% 39.38/25.85 (v90(constB78, bitIndex0) | (~v100(constB78))),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10232, 631, 10226])).
% 39.38/25.85 tff(10234,plain,
% 39.38/25.85 (v90(constB78, bitIndex0)),
% 39.38/25.85 inference(unit_resolution,[status(thm)],[10233, 10129])).
% 39.38/25.85 tff(10235,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10236,plain,
% 39.38/25.85 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0)) <=> ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 39.38/25.85 inference(rewrite,[status(thm)],[])).
% 39.38/25.85 tff(10237,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0)))),
% 39.38/25.85 inference(monotonicity,[status(thm)],[10236])).
% 39.38/25.85 tff(10238,plain,
% 39.38/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 39.38/25.85 inference(transitivity,[status(thm)],[10237, 10235])).
% 39.38/25.85 tff(10239,plain,
% 39.38/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10240,plain,
% 39.38/25.86 ((~![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)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10239, 10238])).
% 39.38/25.86 tff(10241,plain,
% 39.38/25.86 ((~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10240, 649, 10160])).
% 39.38/25.86 tff(10242,plain,
% 39.38/25.86 ((~v90(constB78, bitIndex0)) | v90(constB79, bitIndex0)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10241, 10172])).
% 39.38/25.86 tff(10243,plain,
% 39.38/25.86 (v90(constB79, bitIndex0)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10242, 10234])).
% 39.38/25.86 tff(10244,plain,
% 39.38/25.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10245,plain,
% 39.38/25.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10246,plain,
% 39.38/25.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10245, 10244])).
% 39.38/25.86 tff(10247,plain,
% 39.38/25.86 (v122(constB79)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10246, 1184, 10243, 10212, 10181])).
% 39.38/25.86 tff(10248,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB79) | (~v122(constB79)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB79) | (~v122(constB79)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10249,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB79) | (~v122(constB79)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10250,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB79) | (~v122(constB79))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10249, 10248])).
% 39.38/25.86 tff(10251,plain,
% 39.38/25.86 (v116(constB79)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10250, 1149, 10247])).
% 39.38/25.86 tff(10252,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10253,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10254,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10253, 10252])).
% 39.38/25.86 tff(10255,plain,
% 39.38/25.86 (v115(constB79)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10254, 272, 10251])).
% 39.38/25.86 tff(10256,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10257,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10258,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10257, 10256])).
% 39.38/25.86 tff(10259,plain,
% 39.38/25.86 (v114(constB79)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10258, 283, 10255])).
% 39.38/25.86 tff(10260,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10261,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10262,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10261, 10260])).
% 39.38/25.86 tff(10263,plain,
% 39.38/25.86 (v113(constB79)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10262, 294, 10259])).
% 39.38/25.86 tff(10264,assumption,(~v108(constB79)), introduced(assumption)).
% 39.38/25.86 tff(10265,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10266,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10267,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10266, 10265])).
% 39.38/25.86 tff(10268,plain,
% 39.38/25.86 (~v112(constB79)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10267, 320, 10264])).
% 39.38/25.86 tff(10269,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB79) | (~v26(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB79) | (~v26(constB79)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10270,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB79) | (~v26(constB79)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10271,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB79) | (~v26(constB79))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 39.38/25.86 tff(10272,plain,
% 39.38/25.86 (~v26(constB79)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10271, 766, 10264])).
% 39.38/25.86 tff(10273,assumption,(v113(constB79)), introduced(assumption)).
% 39.38/25.86 tff(10274,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10275,plain,
% 39.38/25.86 ((v26(constB79) | (~v113(constB79)) | v112(constB79)) <=> (v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10276,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79))))),
% 39.38/25.86 inference(monotonicity,[status(thm)],[10275])).
% 39.38/25.86 tff(10277,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 39.38/25.86 inference(transitivity,[status(thm)],[10276, 10274])).
% 39.38/25.86 tff(10278,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10279,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 39.38/25.86 tff(10280,plain,
% 39.38/25.86 (v26(constB79) | v112(constB79)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10279, 308, 10273])).
% 39.38/25.86 tff(10281,plain,
% 39.38/25.86 ($false),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10280, 10272, 10268])).
% 39.38/25.86 tff(10282,plain,(v108(constB79) | (~v113(constB79))), inference(lemma,lemma(discharge,[]))).
% 39.38/25.86 tff(10283,plain,
% 39.38/25.86 (v108(constB79)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10282, 10263])).
% 39.38/25.86 tff(10284,plain,
% 39.38/25.86 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10285,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 39.38/25.86 tff(10286,plain,
% 39.38/25.86 (nextState(constB79, constB80)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10285, 10284])).
% 39.38/25.86 tff(10287,plain,
% 39.38/25.86 (((~![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)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10288,plain,
% 39.38/25.86 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10289,plain,
% 39.38/25.86 (((~![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))))),
% 39.38/25.86 inference(monotonicity,[status(thm)],[10288])).
% 39.38/25.86 tff(10290,plain,
% 39.38/25.86 (((~![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)))),
% 39.38/25.86 inference(transitivity,[status(thm)],[10289, 10287])).
% 39.38/25.86 tff(10291,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10292,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 39.38/25.86 tff(10293,plain,
% 39.38/25.86 (v110(constB80) | (~v108(constB79))),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10292, 337, 10286])).
% 39.38/25.86 tff(10294,plain,
% 39.38/25.86 (v110(constB80)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10293, 10283])).
% 39.38/25.86 tff(10295,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10296,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10297,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10296, 10295])).
% 39.38/25.86 tff(10298,plain,
% 39.38/25.86 (~v104(constB80)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10297, 355, 10286, 10157])).
% 39.38/25.86 tff(10299,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10300,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10301,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10300, 10299])).
% 39.38/25.86 tff(10302,plain,
% 39.38/25.86 (v102(constB80) | v104(constB80)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10301, 369, 10286])).
% 39.38/25.86 tff(10303,plain,
% 39.38/25.86 (v102(constB80)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10302, 10298])).
% 39.38/25.86 tff(10304,plain,
% 39.38/25.86 (v1(constB80) <=> v1(constB80)),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10305,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 39.38/25.86 tff(10306,plain,
% 39.38/25.86 (v1(constB80)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10305, 10304])).
% 39.38/25.86 tff(10307,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10308,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10309,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10308, 10307])).
% 39.38/25.86 tff(10310,plain,
% 39.38/25.86 (v101(constB80) | (~v102(constB80))),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10309, 387, 10286, 10306])).
% 39.38/25.86 tff(10311,plain,
% 39.38/25.86 (v101(constB80)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10310, 10303])).
% 39.38/25.86 tff(10312,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10313,plain,
% 39.38/25.86 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10314,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 39.38/25.86 inference(monotonicity,[status(thm)],[10313])).
% 39.38/25.86 tff(10315,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 39.38/25.86 inference(transitivity,[status(thm)],[10314, 10312])).
% 39.38/25.86 tff(10316,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10317,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10316, 10315])).
% 39.38/25.86 tff(10318,plain,
% 39.38/25.86 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10317, 402, 10286])).
% 39.38/25.86 tff(10319,plain,
% 39.38/25.86 (v100(constB80) | (~v110(constB80))),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10318, 10311])).
% 39.38/25.86 tff(10320,plain,
% 39.38/25.86 (v100(constB80)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10319, 10294])).
% 39.38/25.86 tff(10321,plain,
% 39.38/25.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB79)) | v130(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB79)) | v130(constB79, bitIndex2))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10322,plain,
% 39.38/25.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB79)) | v130(constB79, bitIndex2))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10323,plain,
% 39.38/25.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB79)) | v130(constB79, bitIndex2)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 39.38/25.86 tff(10324,plain,
% 39.38/25.86 (v130(constB79, bitIndex2)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10323, 1803, 10247])).
% 39.38/25.86 tff(10325,assumption,(v26(constB79)), introduced(assumption)).
% 39.38/25.86 tff(10326,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10327,plain,
% 39.38/25.86 ($false),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10326, 86, 10325])).
% 39.38/25.86 tff(10328,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 39.38/25.86 tff(10329,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10330,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10331,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10330, 10329])).
% 39.38/25.86 tff(10332,plain,
% 39.38/25.86 ((~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10331, 1821, 10328])).
% 39.38/25.86 tff(10333,plain,
% 39.38/25.86 (v127(constB79, bitIndex2)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10332, 10324])).
% 39.38/25.86 tff(10334,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10335,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10336,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10335, 10334])).
% 39.38/25.86 tff(10337,plain,
% 39.38/25.86 ((~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10336, 1836, 10286])).
% 39.38/25.86 tff(10338,plain,
% 39.38/25.86 (v129(constB80, bitIndex2)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10337, 10333])).
% 39.38/25.86 tff(10339,plain,
% 39.38/25.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10340,plain,
% 39.38/25.86 ((v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2))) <=> (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10341,plain,
% 39.38/25.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80))))),
% 39.38/25.86 inference(monotonicity,[status(thm)],[10340])).
% 39.38/25.86 tff(10342,plain,
% 39.38/25.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 39.38/25.86 inference(transitivity,[status(thm)],[10341, 10339])).
% 39.38/25.86 tff(10343,plain,
% 39.38/25.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10344,plain,
% 39.38/25.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10343, 10342])).
% 39.38/25.86 tff(10345,plain,
% 39.38/25.86 (v90(constB80, bitIndex2) | (~v100(constB80))),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10344, 2100, 10338])).
% 39.38/25.86 tff(10346,plain,
% 39.38/25.86 (v90(constB80, bitIndex2)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10345, 10320])).
% 39.38/25.86 tff(10347,plain,
% 39.38/25.86 ((~v1(constB81)) <=> (~v1(constB81))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10348,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 39.38/25.86 tff(10349,plain,
% 39.38/25.86 (~v1(constB81)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10348, 10347])).
% 39.38/25.86 tff(10350,plain,
% 39.38/25.86 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10351,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 39.38/25.86 tff(10352,plain,
% 39.38/25.86 (nextState(constB80, constB81)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10351, 10350])).
% 39.38/25.86 tff(10353,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10354,plain,
% 39.38/25.86 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10355,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 39.38/25.86 inference(monotonicity,[status(thm)],[10354])).
% 39.38/25.86 tff(10356,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 39.38/25.86 inference(transitivity,[status(thm)],[10355, 10353])).
% 39.38/25.86 tff(10357,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10358,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10357, 10356])).
% 39.38/25.86 tff(10359,plain,
% 39.38/25.86 (~v101(constB81)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10358, 133, 10352, 10349])).
% 39.38/25.86 tff(10360,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10361,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10362,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10361, 10360])).
% 39.38/25.86 tff(10363,plain,
% 39.38/25.86 (v101(constB81) | (~v100(constB81))),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10362, 150, 10352])).
% 39.38/25.86 tff(10364,plain,
% 39.38/25.86 (~v100(constB81)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10363, 10359])).
% 39.38/25.86 tff(10365,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10366,plain,
% 39.38/25.86 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2)) <=> ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10367,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2)))),
% 39.38/25.86 inference(monotonicity,[status(thm)],[10366])).
% 39.38/25.86 tff(10368,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 39.38/25.86 inference(transitivity,[status(thm)],[10367, 10365])).
% 39.38/25.86 tff(10369,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10370,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10369, 10368])).
% 39.38/25.86 tff(10371,plain,
% 39.38/25.86 ((~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10370, 2118, 10352])).
% 39.38/25.86 tff(10372,plain,
% 39.38/25.86 ((~v90(constB80, bitIndex2)) | v90(constB81, bitIndex2)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10371, 10364])).
% 39.38/25.86 tff(10373,plain,
% 39.38/25.86 (v90(constB81, bitIndex2)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10372, 10346])).
% 39.38/25.86 tff(10374,plain,
% 39.38/25.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB79)) | (~v130(constB79, bitIndex1)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10375,plain,
% 39.38/25.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex1)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10376,plain,
% 39.38/25.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB79)) | (~v130(constB79, bitIndex1))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10375, 10374])).
% 39.38/25.86 tff(10377,plain,
% 39.38/25.86 (~v130(constB79, bitIndex1)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10376, 2137, 10247])).
% 39.38/25.86 tff(10378,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10379,plain,
% 39.38/25.86 ((v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1))) <=> ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10380,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1)))),
% 39.38/25.86 inference(monotonicity,[status(thm)],[10379])).
% 39.38/25.86 tff(10381,plain,
% 39.38/25.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 39.38/25.86 inference(transitivity,[status(thm)],[10380, 10378])).
% 39.38/25.86 tff(10382,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10383,plain,
% 39.38/25.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1)),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10382, 10381])).
% 39.38/25.86 tff(10384,plain,
% 39.38/25.86 ((~v127(constB79, bitIndex1)) | v130(constB79, bitIndex1)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10383, 527, 10328])).
% 39.38/25.86 tff(10385,plain,
% 39.38/25.86 (~v127(constB79, bitIndex1)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10384, 10377])).
% 39.38/25.86 tff(10386,plain,
% 39.38/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10387,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10388,plain,
% 39.38/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10387, 10386])).
% 39.38/25.86 tff(10389,plain,
% 39.38/25.86 (v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1))),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10388, 545, 10286])).
% 39.38/25.86 tff(10390,plain,
% 39.38/25.86 (~v129(constB80, bitIndex1)),
% 39.38/25.86 inference(unit_resolution,[status(thm)],[10389, 10385])).
% 39.38/25.86 tff(10391,plain,
% 39.38/25.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10392,plain,
% 39.38/25.86 (((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1)) <=> ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 39.38/25.86 inference(rewrite,[status(thm)],[])).
% 39.38/25.86 tff(10393,plain,
% 39.38/25.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80))))),
% 39.38/25.86 inference(monotonicity,[status(thm)],[10392])).
% 39.38/25.86 tff(10394,plain,
% 39.38/25.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 39.38/25.86 inference(transitivity,[status(thm)],[10393, 10391])).
% 39.38/25.86 tff(10395,plain,
% 39.38/25.86 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))),
% 39.38/25.86 inference(quant_inst,[status(thm)],[])).
% 39.38/25.86 tff(10396,plain,
% 39.38/25.86 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80))),
% 39.38/25.86 inference(modus_ponens,[status(thm)],[10395, 10394])).
% 39.38/25.87 tff(10397,plain,
% 39.38/25.87 ((~v90(constB80, bitIndex1)) | (~v100(constB80))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10396, 560, 10390])).
% 39.38/25.87 tff(10398,plain,
% 39.38/25.87 (~v90(constB80, bitIndex1)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10397, 10320])).
% 39.38/25.87 tff(10399,plain,
% 39.38/25.87 (((~![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)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10400,plain,
% 39.38/25.87 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1))) <=> (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10401,plain,
% 39.38/25.87 (((~![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))))),
% 39.38/25.87 inference(monotonicity,[status(thm)],[10400])).
% 39.38/25.87 tff(10402,plain,
% 39.38/25.87 (((~![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)))),
% 39.38/25.87 inference(transitivity,[status(thm)],[10401, 10399])).
% 39.38/25.87 tff(10403,plain,
% 39.38/25.87 ((~![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)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10404,plain,
% 39.38/25.87 ((~![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))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10403, 10402])).
% 39.38/25.87 tff(10405,plain,
% 39.38/25.87 (v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10404, 186, 10352])).
% 39.38/25.87 tff(10406,plain,
% 39.38/25.87 (v90(constB80, bitIndex1) | (~v90(constB81, bitIndex1))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10405, 10364])).
% 39.38/25.87 tff(10407,plain,
% 39.38/25.87 (~v90(constB81, bitIndex1)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10406, 10398])).
% 39.38/25.87 tff(10408,plain,
% 39.38/25.87 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB79)) | (~v130(constB79, bitIndex0)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10409,plain,
% 39.38/25.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex0)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10410,plain,
% 39.38/25.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB79)) | (~v130(constB79, bitIndex0))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10409, 10408])).
% 39.38/25.87 tff(10411,plain,
% 39.38/25.87 (~v130(constB79, bitIndex0)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10410, 1486, 10247])).
% 39.38/25.87 tff(10412,plain,
% 39.38/25.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10413,plain,
% 39.38/25.87 ((v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0))) <=> ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10414,plain,
% 39.38/25.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0)))),
% 39.38/25.87 inference(monotonicity,[status(thm)],[10413])).
% 39.38/25.87 tff(10415,plain,
% 39.38/25.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 39.38/25.87 inference(transitivity,[status(thm)],[10414, 10412])).
% 39.38/25.87 tff(10416,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10417,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10416, 10415])).
% 39.38/25.87 tff(10418,plain,
% 39.38/25.87 ((~v127(constB79, bitIndex0)) | v130(constB79, bitIndex0)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10417, 944, 10328])).
% 39.38/25.87 tff(10419,plain,
% 39.38/25.87 (~v127(constB79, bitIndex0)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10418, 10411])).
% 39.38/25.87 tff(10420,plain,
% 39.38/25.87 (((~![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)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10421,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10422,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10421, 10420])).
% 39.38/25.87 tff(10423,plain,
% 39.38/25.87 (v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10422, 962, 10286])).
% 39.38/25.87 tff(10424,plain,
% 39.38/25.87 (~v129(constB80, bitIndex0)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10423, 10419])).
% 39.38/25.87 tff(10425,plain,
% 39.38/25.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10426,plain,
% 39.38/25.87 (((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0)) <=> ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10427,plain,
% 39.38/25.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80))))),
% 39.38/25.87 inference(monotonicity,[status(thm)],[10426])).
% 39.38/25.87 tff(10428,plain,
% 39.38/25.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 39.38/25.87 inference(transitivity,[status(thm)],[10427, 10425])).
% 39.38/25.87 tff(10429,plain,
% 39.38/25.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10430,plain,
% 39.38/25.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10429, 10428])).
% 39.38/25.87 tff(10431,plain,
% 39.38/25.87 ((~v90(constB80, bitIndex0)) | (~v100(constB80))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10430, 977, 10424])).
% 39.38/25.87 tff(10432,plain,
% 39.38/25.87 (~v90(constB80, bitIndex0)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10431, 10320])).
% 39.38/25.87 tff(10433,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10434,plain,
% 39.38/25.87 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0))) <=> (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10435,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0))))),
% 39.38/25.87 inference(monotonicity,[status(thm)],[10434])).
% 39.38/25.87 tff(10436,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 39.38/25.87 inference(transitivity,[status(thm)],[10435, 10433])).
% 39.38/25.87 tff(10437,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10438,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10437, 10436])).
% 39.38/25.87 tff(10439,plain,
% 39.38/25.87 (v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10438, 207, 10352])).
% 39.38/25.87 tff(10440,plain,
% 39.38/25.87 (v90(constB80, bitIndex0) | (~v90(constB81, bitIndex0))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10439, 10364])).
% 39.38/25.87 tff(10441,plain,
% 39.38/25.87 (~v90(constB81, bitIndex0)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10440, 10432])).
% 39.38/25.87 tff(10442,plain,
% 39.38/25.87 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10443,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10444,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10443, 10442])).
% 39.38/25.87 tff(10445,plain,
% 39.38/25.87 (v123(constB81)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10444, 1280, 10441, 10407, 10373])).
% 39.38/25.87 tff(10446,plain,
% 39.38/25.87 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB81) | (~v123(constB81)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB81) | (~v123(constB81)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10447,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB81) | (~v123(constB81)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10448,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB81) | (~v123(constB81))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10447, 10446])).
% 39.38/25.87 tff(10449,plain,
% 39.38/25.87 (v115(constB81)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10448, 1247, 10445])).
% 39.38/25.87 tff(10450,plain,
% 39.38/25.87 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10451,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10452,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10451, 10450])).
% 39.38/25.87 tff(10453,plain,
% 39.38/25.87 (v114(constB81)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10452, 283, 10449])).
% 39.38/25.87 tff(10454,plain,
% 39.38/25.87 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10455,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10456,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10455, 10454])).
% 39.38/25.87 tff(10457,plain,
% 39.38/25.87 (v113(constB81)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10456, 294, 10453])).
% 39.38/25.87 tff(10458,assumption,(v26(constB81)), introduced(assumption)).
% 39.38/25.87 tff(10459,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10460,plain,
% 39.38/25.87 ($false),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10459, 86, 10458])).
% 39.38/25.87 tff(10461,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 39.38/25.87 tff(10462,plain,
% 39.38/25.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10463,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10464,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10463, 10462])).
% 39.38/25.87 tff(10465,plain,
% 39.38/25.87 ((~v113(constB81)) | v112(constB81)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10464, 308, 10461])).
% 39.38/25.87 tff(10466,plain,
% 39.38/25.87 (v112(constB81)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10465, 10457])).
% 39.38/25.87 tff(10467,plain,
% 39.38/25.87 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10468,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10469,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10468, 10467])).
% 39.38/25.87 tff(10470,plain,
% 39.38/25.87 (v108(constB81)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10469, 320, 10466])).
% 39.38/25.87 tff(10471,plain,
% 39.38/25.87 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10472,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 39.38/25.87 tff(10473,plain,
% 39.38/25.87 (nextState(constB81, constB82)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10472, 10471])).
% 39.38/25.87 tff(10474,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10475,plain,
% 39.38/25.87 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10476,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 39.38/25.87 inference(monotonicity,[status(thm)],[10475])).
% 39.38/25.87 tff(10477,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 39.38/25.87 inference(transitivity,[status(thm)],[10476, 10474])).
% 39.38/25.87 tff(10478,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10479,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10478, 10477])).
% 39.38/25.87 tff(10480,plain,
% 39.38/25.87 (v110(constB82) | (~v108(constB81))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10479, 337, 10473])).
% 39.38/25.87 tff(10481,plain,
% 39.38/25.87 (v110(constB82)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10480, 10470])).
% 39.38/25.87 tff(10482,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10483,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10484,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10483, 10482])).
% 39.38/25.87 tff(10485,plain,
% 39.38/25.87 (~v104(constB82)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10484, 355, 10473, 10349])).
% 39.38/25.87 tff(10486,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10487,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10488,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10487, 10486])).
% 39.38/25.87 tff(10489,plain,
% 39.38/25.87 (v102(constB82) | v104(constB82)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10488, 369, 10473])).
% 39.38/25.87 tff(10490,plain,
% 39.38/25.87 (v102(constB82)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10489, 10485])).
% 39.38/25.87 tff(10491,plain,
% 39.38/25.87 (v1(constB82) <=> v1(constB82)),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10492,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 39.38/25.87 tff(10493,plain,
% 39.38/25.87 (v1(constB82)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10492, 10491])).
% 39.38/25.87 tff(10494,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10495,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10496,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10495, 10494])).
% 39.38/25.87 tff(10497,plain,
% 39.38/25.87 (v101(constB82) | (~v102(constB82))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10496, 387, 10473, 10493])).
% 39.38/25.87 tff(10498,plain,
% 39.38/25.87 (v101(constB82)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10497, 10490])).
% 39.38/25.87 tff(10499,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10500,plain,
% 39.38/25.87 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10501,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 39.38/25.87 inference(monotonicity,[status(thm)],[10500])).
% 39.38/25.87 tff(10502,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 39.38/25.87 inference(transitivity,[status(thm)],[10501, 10499])).
% 39.38/25.87 tff(10503,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10504,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10503, 10502])).
% 39.38/25.87 tff(10505,plain,
% 39.38/25.87 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10504, 402, 10473])).
% 39.38/25.87 tff(10506,plain,
% 39.38/25.87 (v100(constB82) | (~v110(constB82))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10505, 10498])).
% 39.38/25.87 tff(10507,plain,
% 39.38/25.87 (v100(constB82)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10506, 10481])).
% 39.38/25.87 tff(10508,plain,
% 39.38/25.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB81)) | v130(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB81)) | v130(constB81, bitIndex2))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10509,plain,
% 39.38/25.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB81)) | v130(constB81, bitIndex2))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10510,plain,
% 39.38/25.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB81)) | v130(constB81, bitIndex2)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10509, 10508])).
% 39.38/25.87 tff(10511,plain,
% 39.38/25.87 (v130(constB81, bitIndex2)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10510, 2165, 10445])).
% 39.38/25.87 tff(10512,plain,
% 39.38/25.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10513,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10514,plain,
% 39.38/25.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 39.38/25.87 tff(10515,plain,
% 39.38/25.87 ((~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10514, 1821, 10461])).
% 39.38/25.87 tff(10516,plain,
% 39.38/25.87 (v127(constB81, bitIndex2)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10515, 10511])).
% 39.38/25.87 tff(10517,plain,
% 39.38/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10518,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10519,plain,
% 39.38/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 39.38/25.87 tff(10520,plain,
% 39.38/25.87 ((~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10519, 1836, 10473])).
% 39.38/25.87 tff(10521,plain,
% 39.38/25.87 (v129(constB82, bitIndex2)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10520, 10516])).
% 39.38/25.87 tff(10522,plain,
% 39.38/25.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10523,plain,
% 39.38/25.87 ((v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2))) <=> (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10524,plain,
% 39.38/25.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))))),
% 39.38/25.87 inference(monotonicity,[status(thm)],[10523])).
% 39.38/25.87 tff(10525,plain,
% 39.38/25.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 39.38/25.87 inference(transitivity,[status(thm)],[10524, 10522])).
% 39.38/25.87 tff(10526,plain,
% 39.38/25.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))),
% 39.38/25.87 inference(quant_inst,[status(thm)],[])).
% 39.38/25.87 tff(10527,plain,
% 39.38/25.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10526, 10525])).
% 39.38/25.87 tff(10528,plain,
% 39.38/25.87 (v90(constB82, bitIndex2) | (~v100(constB82))),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10527, 2100, 10521])).
% 39.38/25.87 tff(10529,plain,
% 39.38/25.87 (v90(constB82, bitIndex2)),
% 39.38/25.87 inference(unit_resolution,[status(thm)],[10528, 10507])).
% 39.38/25.87 tff(10530,plain,
% 39.38/25.87 ((~v1(constB83)) <=> (~v1(constB83))),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10531,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 39.38/25.87 tff(10532,plain,
% 39.38/25.87 (~v1(constB83)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10531, 10530])).
% 39.38/25.87 tff(10533,plain,
% 39.38/25.87 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 39.38/25.87 inference(rewrite,[status(thm)],[])).
% 39.38/25.87 tff(10534,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 39.38/25.87 tff(10535,plain,
% 39.38/25.87 (nextState(constB82, constB83)),
% 39.38/25.87 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 39.38/25.88 tff(10536,plain,
% 39.38/25.88 (((~![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)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10537,plain,
% 39.38/25.88 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10538,plain,
% 39.38/25.88 (((~![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))))),
% 39.38/25.88 inference(monotonicity,[status(thm)],[10537])).
% 39.38/25.88 tff(10539,plain,
% 39.38/25.88 (((~![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)))),
% 39.38/25.88 inference(transitivity,[status(thm)],[10538, 10536])).
% 39.38/25.88 tff(10540,plain,
% 39.38/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10541,plain,
% 39.38/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10540, 10539])).
% 39.38/25.88 tff(10542,plain,
% 39.38/25.88 (~v101(constB83)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10541, 133, 10535, 10532])).
% 39.38/25.88 tff(10543,plain,
% 39.38/25.88 (((~![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)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10544,plain,
% 39.38/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10545,plain,
% 39.38/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10544, 10543])).
% 39.38/25.88 tff(10546,plain,
% 39.38/25.88 (v101(constB83) | (~v100(constB83))),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10545, 150, 10535])).
% 39.38/25.88 tff(10547,plain,
% 39.38/25.88 (~v100(constB83)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10546, 10542])).
% 39.38/25.88 tff(10548,plain,
% 39.38/25.88 (((~![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))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10549,plain,
% 39.38/25.88 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)) <=> ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10550,plain,
% 39.38/25.88 (((~![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)))),
% 39.38/25.88 inference(monotonicity,[status(thm)],[10549])).
% 39.38/25.88 tff(10551,plain,
% 39.38/25.88 (((~![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))),
% 39.38/25.88 inference(transitivity,[status(thm)],[10550, 10548])).
% 39.38/25.88 tff(10552,plain,
% 39.38/25.88 ((~![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))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10553,plain,
% 39.38/25.88 ((~![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)),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10552, 10551])).
% 39.38/25.88 tff(10554,plain,
% 39.38/25.88 ((~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10553, 2118, 10535])).
% 39.38/25.88 tff(10555,plain,
% 39.38/25.88 ((~v90(constB82, bitIndex2)) | v90(constB83, bitIndex2)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10554, 10547])).
% 39.38/25.88 tff(10556,plain,
% 39.38/25.88 (v90(constB83, bitIndex2)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10555, 10529])).
% 39.38/25.88 tff(10557,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10558,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10557])).
% 39.38/25.88 tff(10559,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10560,plain,
% 39.38/25.88 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10561,plain,
% 39.38/25.88 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10560])).
% 39.38/25.88 tff(10562,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 39.38/25.88 tff(10563,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 39.38/25.88 tff(10564,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10563, 10559])).
% 39.38/25.88 tff(10565,plain,(
% 39.38/25.88 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10564])).
% 39.38/25.88 tff(10566,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10565, 10558])).
% 39.38/25.88 tff(10567,plain,
% 39.38/25.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10568,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10569,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2)),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10568, 10567])).
% 39.38/25.88 tff(10570,plain,
% 39.38/25.88 (v88(constB83, bitIndex2)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10569, 10566, 10556])).
% 39.38/25.88 tff(10571,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10572,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10571])).
% 39.38/25.88 tff(10573,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10574,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 39.38/25.88 tff(10575,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10574, 10573])).
% 39.38/25.88 tff(10576,plain,(
% 39.38/25.88 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10575])).
% 39.38/25.88 tff(10577,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10576, 10572])).
% 39.38/25.88 tff(10578,plain,
% 39.38/25.88 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB83, bitIndex2)) | (~v140(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB83, bitIndex2)) | (~v140(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10579,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB83, bitIndex2)) | (~v140(constB83)))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10580,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB83, bitIndex2)) | (~v140(constB83))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10579, 10578])).
% 39.38/25.88 tff(10581,plain,
% 39.38/25.88 (~v140(constB83)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10580, 10577, 10570])).
% 39.38/25.88 tff(10582,plain,
% 39.38/25.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB81)) | v130(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB81)) | v130(constB81, bitIndex0))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10583,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB81)) | v130(constB81, bitIndex0))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10584,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB81)) | v130(constB81, bitIndex0)),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10583, 10582])).
% 39.38/25.88 tff(10585,plain,
% 39.38/25.88 (v130(constB81, bitIndex0)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10584, 2258, 10445])).
% 39.38/25.88 tff(10586,plain,
% 39.38/25.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10587,plain,
% 39.38/25.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10588,plain,
% 39.38/25.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0)),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10587, 10586])).
% 39.38/25.88 tff(10589,plain,
% 39.38/25.88 ((~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10588, 601, 10461])).
% 39.38/25.88 tff(10590,plain,
% 39.38/25.88 (v127(constB81, bitIndex0)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10589, 10585])).
% 39.38/25.88 tff(10591,plain,
% 39.38/25.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10592,plain,
% 39.38/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10593,plain,
% 39.38/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0)),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10592, 10591])).
% 39.38/25.88 tff(10594,plain,
% 39.38/25.88 ((~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10593, 616, 10473])).
% 39.38/25.88 tff(10595,plain,
% 39.38/25.88 (v129(constB82, bitIndex0)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10594, 10590])).
% 39.38/25.88 tff(10596,plain,
% 39.38/25.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10597,plain,
% 39.38/25.88 ((v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0))) <=> (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10598,plain,
% 39.38/25.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82))))),
% 39.38/25.88 inference(monotonicity,[status(thm)],[10597])).
% 39.38/25.88 tff(10599,plain,
% 39.38/25.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 39.38/25.88 inference(transitivity,[status(thm)],[10598, 10596])).
% 39.38/25.88 tff(10600,plain,
% 39.38/25.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10601,plain,
% 39.38/25.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10600, 10599])).
% 39.38/25.88 tff(10602,plain,
% 39.38/25.88 (v90(constB82, bitIndex0) | (~v100(constB82))),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10601, 631, 10595])).
% 39.38/25.88 tff(10603,plain,
% 39.38/25.88 (v90(constB82, bitIndex0)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10602, 10507])).
% 39.38/25.88 tff(10604,plain,
% 39.38/25.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10605,plain,
% 39.38/25.88 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0)) <=> ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10606,plain,
% 39.38/25.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0)))),
% 39.38/25.88 inference(monotonicity,[status(thm)],[10605])).
% 39.38/25.88 tff(10607,plain,
% 39.38/25.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 39.38/25.88 inference(transitivity,[status(thm)],[10606, 10604])).
% 39.38/25.88 tff(10608,plain,
% 39.38/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10609,plain,
% 39.38/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0)),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10608, 10607])).
% 39.38/25.88 tff(10610,plain,
% 39.38/25.88 ((~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10609, 649, 10535])).
% 39.38/25.88 tff(10611,plain,
% 39.38/25.88 ((~v90(constB82, bitIndex0)) | v90(constB83, bitIndex0)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10610, 10547])).
% 39.38/25.88 tff(10612,plain,
% 39.38/25.88 (v90(constB83, bitIndex0)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10611, 10603])).
% 39.38/25.88 tff(10613,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10614,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10613])).
% 39.38/25.88 tff(10615,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10616,plain,
% 39.38/25.88 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10617,plain,
% 39.38/25.88 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10616])).
% 39.38/25.88 tff(10618,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 39.38/25.88 tff(10619,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10618, 10617])).
% 39.38/25.88 tff(10620,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10619, 10615])).
% 39.38/25.88 tff(10621,plain,(
% 39.38/25.88 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10620])).
% 39.38/25.88 tff(10622,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10621, 10614])).
% 39.38/25.88 tff(10623,plain,
% 39.38/25.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10624,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10625,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0)),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10624, 10623])).
% 39.38/25.88 tff(10626,plain,
% 39.38/25.88 (v88(constB83, bitIndex0)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10625, 10622, 10612])).
% 39.38/25.88 tff(10627,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10628,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10627])).
% 39.38/25.88 tff(10629,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10630,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 39.38/25.88 tff(10631,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10630, 10629])).
% 39.38/25.88 tff(10632,plain,(
% 39.38/25.88 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10631])).
% 39.38/25.88 tff(10633,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10632, 10628])).
% 39.38/25.88 tff(10634,plain,
% 39.38/25.88 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v139(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v139(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10635,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v139(constB83)))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10636,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v139(constB83))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10635, 10634])).
% 39.38/25.88 tff(10637,plain,
% 39.38/25.88 (~v139(constB83)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10636, 10633, 10626])).
% 39.38/25.88 tff(10638,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl((v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10639,plain,
% 39.38/25.88 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10638])).
% 39.38/25.88 tff(10640,plain,
% 39.38/25.88 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10641,plain,
% 39.38/25.88 (^[VarCurr: $i] : trans(monotonicity(rewrite((v140(VarCurr) | v139(VarCurr)) <=> (v140(VarCurr) | v139(VarCurr))), (((v140(VarCurr) | v139(VarCurr)) | (~v170(VarCurr))) <=> ((v140(VarCurr) | v139(VarCurr)) | (~v170(VarCurr))))), rewrite(((v140(VarCurr) | v139(VarCurr)) | (~v170(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))), (((v140(VarCurr) | v139(VarCurr)) | (~v170(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10642,plain,
% 39.38/25.88 (![VarCurr: $i] : ((v140(VarCurr) | v139(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10641])).
% 39.38/25.88 tff(10643,axiom,(![VarCurr: $i] : ((v140(VarCurr) | v139(VarCurr)) | (~v170(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_3')).
% 39.38/25.88 tff(10644,plain,
% 39.38/25.88 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10643, 10642])).
% 39.38/25.88 tff(10645,plain,
% 39.38/25.88 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10644, 10640])).
% 39.38/25.88 tff(10646,plain,(
% 39.38/25.88 ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10645])).
% 39.38/25.88 tff(10647,plain,
% 39.38/25.88 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10646, 10639])).
% 39.38/25.88 tff(10648,plain,
% 39.38/25.88 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB83) | v139(constB83) | (~v170(constB83)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB83) | v139(constB83) | (~v170(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10649,plain,
% 39.38/25.88 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB83) | v139(constB83) | (~v170(constB83)))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10650,plain,
% 39.38/25.88 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB83) | v139(constB83) | (~v170(constB83))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10649, 10648])).
% 39.38/25.88 tff(10651,plain,
% 39.38/25.88 (~v170(constB83)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10650, 10647, 10637, 10581])).
% 39.38/25.88 tff(10652,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10653,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10652])).
% 39.38/25.88 tff(10654,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10655,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_4')).
% 39.38/25.88 tff(10656,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10655, 10654])).
% 39.38/25.88 tff(10657,plain,(
% 39.38/25.88 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10656])).
% 39.38/25.88 tff(10658,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10657, 10653])).
% 39.38/25.88 tff(10659,plain,
% 39.38/25.88 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB83, bitIndex2)) | (~v141(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB83, bitIndex2)) | (~v141(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10660,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB83, bitIndex2)) | (~v141(constB83)))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10661,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB83, bitIndex2)) | (~v141(constB83))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10660, 10659])).
% 39.38/25.88 tff(10662,plain,
% 39.38/25.88 (~v141(constB83)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10661, 10658, 10570])).
% 39.38/25.88 tff(10663,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl((v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr)) <=> (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr)))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10664,plain,
% 39.38/25.88 (![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr)) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10663])).
% 39.38/25.88 tff(10665,plain,
% 39.38/25.88 (![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr)) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10666,plain,
% 39.38/25.88 (^[VarCurr: $i] : trans(monotonicity(rewrite((v170(VarCurr) | v141(VarCurr)) <=> (v141(VarCurr) | v170(VarCurr))), (((v170(VarCurr) | v141(VarCurr)) | (~v167(VarCurr))) <=> ((v141(VarCurr) | v170(VarCurr)) | (~v167(VarCurr))))), rewrite(((v141(VarCurr) | v170(VarCurr)) | (~v167(VarCurr))) <=> (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))), (((v170(VarCurr) | v141(VarCurr)) | (~v167(VarCurr))) <=> (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10667,plain,
% 39.38/25.88 (![VarCurr: $i] : ((v170(VarCurr) | v141(VarCurr)) | (~v167(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10666])).
% 39.38/25.88 tff(10668,axiom,(![VarCurr: $i] : ((v170(VarCurr) | v141(VarCurr)) | (~v167(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_3')).
% 39.38/25.88 tff(10669,plain,
% 39.38/25.88 (![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 39.38/25.88 tff(10670,plain,
% 39.38/25.88 (![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10669, 10665])).
% 39.38/25.88 tff(10671,plain,(
% 39.38/25.88 ![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10670])).
% 39.38/25.88 tff(10672,plain,
% 39.38/25.88 (![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10671, 10664])).
% 39.38/25.88 tff(10673,plain,
% 39.38/25.88 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB83) | v170(constB83) | (~v167(constB83)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB83) | v170(constB83) | (~v167(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10674,plain,
% 39.38/25.88 ((v141(constB83) | (~v167(constB83)) | v170(constB83)) <=> (v141(constB83) | v170(constB83) | (~v167(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10675,plain,
% 39.38/25.88 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB83) | (~v167(constB83)) | v170(constB83))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB83) | v170(constB83) | (~v167(constB83))))),
% 39.38/25.88 inference(monotonicity,[status(thm)],[10674])).
% 39.38/25.88 tff(10676,plain,
% 39.38/25.88 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB83) | (~v167(constB83)) | v170(constB83))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB83) | v170(constB83) | (~v167(constB83)))),
% 39.38/25.88 inference(transitivity,[status(thm)],[10675, 10673])).
% 39.38/25.88 tff(10677,plain,
% 39.38/25.88 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB83) | (~v167(constB83)) | v170(constB83))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10678,plain,
% 39.38/25.88 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB83) | v170(constB83) | (~v167(constB83))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10677, 10676])).
% 39.38/25.88 tff(10679,plain,
% 39.38/25.88 (~v167(constB83)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10678, 10672, 10662, 10651])).
% 39.38/25.88 tff(10680,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10681,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10680])).
% 39.38/25.88 tff(10682,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10683,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_4')).
% 39.38/25.88 tff(10684,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10683, 10682])).
% 39.38/25.88 tff(10685,plain,(
% 39.38/25.88 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10684])).
% 39.38/25.88 tff(10686,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10685, 10681])).
% 39.38/25.88 tff(10687,plain,
% 39.38/25.88 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v143(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v143(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10688,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v143(constB83)))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10689,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v143(constB83))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10688, 10687])).
% 39.38/25.88 tff(10690,plain,
% 39.38/25.88 (~v143(constB83)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10689, 10686, 10626])).
% 39.38/25.88 tff(10691,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10692,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10691])).
% 39.38/25.88 tff(10693,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10694,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_4')).
% 39.38/25.88 tff(10695,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10694, 10693])).
% 39.38/25.88 tff(10696,plain,(
% 39.38/25.88 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10695])).
% 39.38/25.88 tff(10697,plain,
% 39.38/25.88 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10696, 10692])).
% 39.38/25.88 tff(10698,plain,
% 39.38/25.88 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v144(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v144(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10699,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v144(constB83)))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10700,plain,
% 39.38/25.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v144(constB83))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10699, 10698])).
% 39.38/25.88 tff(10701,plain,
% 39.38/25.88 (~v144(constB83)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10700, 10697, 10626])).
% 39.38/25.88 tff(10702,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl((v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10703,plain,
% 39.38/25.88 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10702])).
% 39.38/25.88 tff(10704,plain,
% 39.38/25.88 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10705,plain,
% 39.38/25.88 (^[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)))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10706,plain,
% 39.38/25.88 (![VarCurr: $i] : ((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10705])).
% 39.38/25.88 tff(10707,axiom,(![VarCurr: $i] : ((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_3')).
% 39.38/25.88 tff(10708,plain,
% 39.38/25.88 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10707, 10706])).
% 39.38/25.88 tff(10709,plain,
% 39.38/25.88 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10708, 10704])).
% 39.38/25.88 tff(10710,plain,(
% 39.38/25.88 ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10709])).
% 39.38/25.88 tff(10711,plain,
% 39.38/25.88 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10710, 10703])).
% 39.38/25.88 tff(10712,plain,
% 39.38/25.88 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB83) | v144(constB83) | (~v142(constB83)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB83) | v144(constB83) | (~v142(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10713,plain,
% 39.38/25.88 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB83) | v144(constB83) | (~v142(constB83)))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10714,plain,
% 39.38/25.88 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB83) | v144(constB83) | (~v142(constB83))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 39.38/25.88 tff(10715,plain,
% 39.38/25.88 (~v142(constB83)),
% 39.38/25.88 inference(unit_resolution,[status(thm)],[10714, 10711, 10701, 10690])).
% 39.38/25.88 tff(10716,plain,
% 39.38/25.88 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr)) <=> (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr)))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10717,plain,
% 39.38/25.88 (![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10716])).
% 39.38/25.88 tff(10718,plain,
% 39.38/25.88 (![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10719,plain,
% 39.38/25.88 (^[VarCurr: $i] : trans(monotonicity(rewrite((v167(VarCurr) | v142(VarCurr)) <=> (v142(VarCurr) | v167(VarCurr))), (((v167(VarCurr) | v142(VarCurr)) | (~v166(VarCurr))) <=> ((v142(VarCurr) | v167(VarCurr)) | (~v166(VarCurr))))), rewrite(((v142(VarCurr) | v167(VarCurr)) | (~v166(VarCurr))) <=> (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))), (((v167(VarCurr) | v142(VarCurr)) | (~v166(VarCurr))) <=> (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))))),
% 39.38/25.88 inference(bind,[status(th)],[])).
% 39.38/25.88 tff(10720,plain,
% 39.38/25.88 (![VarCurr: $i] : ((v167(VarCurr) | v142(VarCurr)) | (~v166(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 39.38/25.88 inference(quant_intro,[status(thm)],[10719])).
% 39.38/25.88 tff(10721,axiom,(![VarCurr: $i] : ((v167(VarCurr) | v142(VarCurr)) | (~v166(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_3')).
% 39.38/25.88 tff(10722,plain,
% 39.38/25.88 (![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 39.38/25.88 tff(10723,plain,
% 39.38/25.88 (![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10722, 10718])).
% 39.38/25.88 tff(10724,plain,(
% 39.38/25.88 ![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 39.38/25.88 inference(skolemize,[status(sab)],[10723])).
% 39.38/25.88 tff(10725,plain,
% 39.38/25.88 (![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 39.38/25.88 inference(modus_ponens,[status(thm)],[10724, 10717])).
% 39.38/25.88 tff(10726,plain,
% 39.38/25.88 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB83) | v167(constB83) | (~v166(constB83)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB83) | v167(constB83) | (~v166(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10727,plain,
% 39.38/25.88 ((v142(constB83) | (~v166(constB83)) | v167(constB83)) <=> (v142(constB83) | v167(constB83) | (~v166(constB83)))),
% 39.38/25.88 inference(rewrite,[status(thm)],[])).
% 39.38/25.88 tff(10728,plain,
% 39.38/25.88 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB83) | (~v166(constB83)) | v167(constB83))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB83) | v167(constB83) | (~v166(constB83))))),
% 39.38/25.88 inference(monotonicity,[status(thm)],[10727])).
% 39.38/25.88 tff(10729,plain,
% 39.38/25.88 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB83) | (~v166(constB83)) | v167(constB83))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB83) | v167(constB83) | (~v166(constB83)))),
% 39.38/25.88 inference(transitivity,[status(thm)],[10728, 10726])).
% 39.38/25.88 tff(10730,plain,
% 39.38/25.88 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB83) | (~v166(constB83)) | v167(constB83))),
% 39.38/25.88 inference(quant_inst,[status(thm)],[])).
% 39.38/25.88 tff(10731,plain,
% 39.38/25.88 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB83) | v167(constB83) | (~v166(constB83))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10730, 10729])).
% 39.38/25.89 tff(10732,plain,
% 39.38/25.89 (~v166(constB83)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10731, 10725, 10715, 10679])).
% 39.38/25.89 tff(10733,plain,
% 39.38/25.89 (^[VarCurr: $i] : refl((v148(VarCurr) | v166(VarCurr)) <=> (v148(VarCurr) | v166(VarCurr)))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10734,plain,
% 39.38/25.89 (![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr)) <=> ![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10733])).
% 39.38/25.89 tff(10735,plain,
% 39.38/25.89 (![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr)) <=> ![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10736,axiom,(![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1_1')).
% 39.38/25.89 tff(10737,plain,
% 39.38/25.89 (![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10736, 10735])).
% 39.38/25.89 tff(10738,plain,(
% 39.38/25.89 ![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))),
% 39.38/25.89 inference(skolemize,[status(sab)],[10737])).
% 39.38/25.89 tff(10739,plain,
% 39.38/25.89 (![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10738, 10734])).
% 39.38/25.89 tff(10740,plain,
% 39.38/25.89 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB83) | v166(constB83))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB83) | v166(constB83))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10741,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB83) | v166(constB83))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10742,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB83) | v166(constB83)),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10741, 10740])).
% 39.38/25.89 tff(10743,plain,
% 39.38/25.89 (v148(constB83)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10742, 10739, 10732])).
% 39.38/25.89 tff(10744,plain,
% 39.38/25.89 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB81)) | (~v130(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB81)) | (~v130(constB81, bitIndex1)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10745,plain,
% 39.38/25.89 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB81)) | (~v130(constB81, bitIndex1)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10746,plain,
% 39.38/25.89 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB81)) | (~v130(constB81, bitIndex1))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10745, 10744])).
% 39.38/25.89 tff(10747,plain,
% 39.38/25.89 (~v130(constB81, bitIndex1)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10746, 1579, 10445])).
% 39.38/25.89 tff(10748,plain,
% 39.38/25.89 (((~![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))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10749,plain,
% 39.38/25.89 ((v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1))) <=> ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10750,plain,
% 39.38/25.89 (((~![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)))),
% 39.38/25.89 inference(monotonicity,[status(thm)],[10749])).
% 39.38/25.89 tff(10751,plain,
% 39.38/25.89 (((~![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))),
% 39.38/25.89 inference(transitivity,[status(thm)],[10750, 10748])).
% 39.38/25.89 tff(10752,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10753,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10752, 10751])).
% 39.38/25.89 tff(10754,plain,
% 39.38/25.89 ((~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10753, 527, 10461])).
% 39.38/25.89 tff(10755,plain,
% 39.38/25.89 (~v127(constB81, bitIndex1)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10754, 10747])).
% 39.38/25.89 tff(10756,plain,
% 39.38/25.89 (((~![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)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10757,plain,
% 39.38/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10758,plain,
% 39.38/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 39.38/25.89 tff(10759,plain,
% 39.38/25.89 (v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10758, 545, 10473])).
% 39.38/25.89 tff(10760,plain,
% 39.38/25.89 (~v129(constB82, bitIndex1)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10759, 10755])).
% 39.38/25.89 tff(10761,plain,
% 39.38/25.89 (((~![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)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10762,plain,
% 39.38/25.89 (((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1)) <=> ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10763,plain,
% 39.38/25.89 (((~![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))))),
% 39.38/25.89 inference(monotonicity,[status(thm)],[10762])).
% 39.38/25.89 tff(10764,plain,
% 39.38/25.89 (((~![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)))),
% 39.38/25.89 inference(transitivity,[status(thm)],[10763, 10761])).
% 39.38/25.89 tff(10765,plain,
% 39.38/25.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10766,plain,
% 39.38/25.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10765, 10764])).
% 39.38/25.89 tff(10767,plain,
% 39.38/25.89 ((~v90(constB82, bitIndex1)) | (~v100(constB82))),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10766, 560, 10760])).
% 39.38/25.89 tff(10768,plain,
% 39.38/25.89 (~v90(constB82, bitIndex1)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10767, 10507])).
% 39.38/25.89 tff(10769,plain,
% 39.38/25.89 (((~![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)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10770,plain,
% 39.38/25.89 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))) <=> (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10771,plain,
% 39.38/25.89 (((~![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))))),
% 39.38/25.89 inference(monotonicity,[status(thm)],[10770])).
% 39.38/25.89 tff(10772,plain,
% 39.38/25.89 (((~![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)))),
% 39.38/25.89 inference(transitivity,[status(thm)],[10771, 10769])).
% 39.38/25.89 tff(10773,plain,
% 39.38/25.89 ((~![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)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10774,plain,
% 39.38/25.89 ((~![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))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10773, 10772])).
% 39.38/25.89 tff(10775,plain,
% 39.38/25.89 (v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10774, 186, 10535])).
% 39.38/25.89 tff(10776,plain,
% 39.38/25.89 (v90(constB82, bitIndex1) | (~v90(constB83, bitIndex1))),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10775, 10547])).
% 39.38/25.89 tff(10777,plain,
% 39.38/25.89 (~v90(constB83, bitIndex1)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10776, 10768])).
% 39.38/25.89 tff(10778,plain,
% 39.38/25.89 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10779,plain,
% 39.38/25.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10778])).
% 39.38/25.89 tff(10780,plain,
% 39.38/25.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10781,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 39.38/25.89 tff(10782,plain,
% 39.38/25.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10781, 10780])).
% 39.38/25.89 tff(10783,plain,(
% 39.38/25.89 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 39.38/25.89 inference(skolemize,[status(sab)],[10782])).
% 39.38/25.89 tff(10784,plain,
% 39.38/25.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10783, 10779])).
% 39.38/25.89 tff(10785,plain,
% 39.38/25.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10786,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10787,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10786, 10785])).
% 39.38/25.89 tff(10788,plain,
% 39.38/25.89 (~v88(constB83, bitIndex1)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10787, 10784, 10777])).
% 39.38/25.89 tff(10789,plain,
% 39.38/25.89 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10790,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10789])).
% 39.38/25.89 tff(10791,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10792,plain,
% 39.38/25.89 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))), ((((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1)) <=> (((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) | v88(VarCurr, bitIndex1)))), rewrite((((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) | v88(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))), ((((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10793,plain,
% 39.38/25.89 (![VarCurr: $i] : (((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10792])).
% 39.38/25.89 tff(10794,axiom,(![VarCurr: $i] : (((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_15_1_1_1')).
% 39.38/25.89 tff(10795,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10794, 10793])).
% 39.38/25.89 tff(10796,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10795, 10791])).
% 39.38/25.89 tff(10797,plain,(
% 39.38/25.89 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 39.38/25.89 inference(skolemize,[status(sab)],[10796])).
% 39.38/25.89 tff(10798,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10797, 10790])).
% 39.38/25.89 tff(10799,plain,
% 39.38/25.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10800,plain,
% 39.38/25.89 (((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83)) <=> (v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10801,plain,
% 39.38/25.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2))))),
% 39.38/25.89 inference(monotonicity,[status(thm)],[10800])).
% 39.38/25.89 tff(10802,plain,
% 39.38/25.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2)))),
% 39.38/25.89 inference(transitivity,[status(thm)],[10801, 10799])).
% 39.38/25.89 tff(10803,plain,
% 39.38/25.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10804,plain,
% 39.38/25.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10803, 10802])).
% 39.38/25.89 tff(10805,plain,
% 39.38/25.89 (v147(constB83)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10804, 10798, 10626, 10570, 10788])).
% 39.38/25.89 tff(10806,plain,
% 39.38/25.89 (^[VarCurr: $i] : refl((v145(VarCurr) | (~v147(VarCurr))) <=> (v145(VarCurr) | (~v147(VarCurr))))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10807,plain,
% 39.38/25.89 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10806])).
% 39.38/25.89 tff(10808,plain,
% 39.38/25.89 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10809,axiom,(![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1')).
% 39.38/25.89 tff(10810,plain,
% 39.38/25.89 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10809, 10808])).
% 39.38/25.89 tff(10811,plain,(
% 39.38/25.89 ![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 39.38/25.89 inference(skolemize,[status(sab)],[10810])).
% 39.38/25.89 tff(10812,plain,
% 39.38/25.89 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10811, 10807])).
% 39.38/25.89 tff(10813,plain,
% 39.38/25.89 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB83) | (~v147(constB83)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB83) | (~v147(constB83)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10814,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB83) | (~v147(constB83)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10815,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB83) | (~v147(constB83))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10814, 10813])).
% 39.38/25.89 tff(10816,plain,
% 39.38/25.89 (v145(constB83)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10815, 10812, 10805])).
% 39.38/25.89 tff(10817,plain,
% 39.38/25.89 (^[VarCurr: $i] : refl((v165(VarCurr) | (~v145(VarCurr))) <=> (v165(VarCurr) | (~v145(VarCurr))))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10818,plain,
% 39.38/25.89 (![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10817])).
% 39.38/25.89 tff(10819,plain,
% 39.38/25.89 (![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10820,axiom,(![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_40_1_1_2')).
% 39.38/25.89 tff(10821,plain,
% 39.38/25.89 (![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10820, 10819])).
% 39.38/25.89 tff(10822,plain,(
% 39.38/25.89 ![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))),
% 39.38/25.89 inference(skolemize,[status(sab)],[10821])).
% 39.38/25.89 tff(10823,plain,
% 39.38/25.89 (![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10822, 10818])).
% 39.38/25.89 tff(10824,plain,
% 39.38/25.89 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB83) | (~v145(constB83)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB83) | (~v145(constB83)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10825,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB83) | (~v145(constB83)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10826,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB83) | (~v145(constB83))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10825, 10824])).
% 39.38/25.89 tff(10827,plain,
% 39.38/25.89 (v165(constB83)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10826, 10823, 10816])).
% 39.38/25.89 tff(10828,plain,
% 39.38/25.89 (^[VarNext: $i] : refl(((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext)) <=> ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext)))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10829,plain,
% 39.38/25.89 (![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext)) <=> ![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10828])).
% 39.38/25.89 tff(10830,plain,
% 39.38/25.89 (![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext)) <=> ![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10831,plain,
% 39.38/25.89 (^[VarNext: $i] : rewrite(((v86(VarNext) | (~v148(VarNext))) | (~v165(VarNext))) <=> ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext)))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10832,plain,
% 39.38/25.89 (![VarNext: $i] : ((v86(VarNext) | (~v148(VarNext))) | (~v165(VarNext))) <=> ![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10831])).
% 39.38/25.89 tff(10833,axiom,(![VarNext: $i] : ((v86(VarNext) | (~v148(VarNext))) | (~v165(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_1')).
% 39.38/25.89 tff(10834,plain,
% 39.38/25.89 (![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10833, 10832])).
% 39.38/25.89 tff(10835,plain,
% 39.38/25.89 (![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10834, 10830])).
% 39.38/25.89 tff(10836,plain,(
% 39.38/25.89 ![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))),
% 39.38/25.89 inference(skolemize,[status(sab)],[10835])).
% 39.38/25.89 tff(10837,plain,
% 39.38/25.89 (![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10836, 10829])).
% 39.38/25.89 tff(10838,plain,
% 39.38/25.89 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB83) | (~v165(constB83)) | (~v148(constB83)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB83) | (~v165(constB83)) | (~v148(constB83)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10839,plain,
% 39.38/25.89 (((~v148(constB83)) | (~v165(constB83)) | v86(constB83)) <=> (v86(constB83) | (~v165(constB83)) | (~v148(constB83)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10840,plain,
% 39.38/25.89 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB83)) | (~v165(constB83)) | v86(constB83))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB83) | (~v165(constB83)) | (~v148(constB83))))),
% 39.38/25.89 inference(monotonicity,[status(thm)],[10839])).
% 39.38/25.89 tff(10841,plain,
% 39.38/25.89 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB83)) | (~v165(constB83)) | v86(constB83))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB83) | (~v165(constB83)) | (~v148(constB83)))),
% 39.38/25.89 inference(transitivity,[status(thm)],[10840, 10838])).
% 39.38/25.89 tff(10842,plain,
% 39.38/25.89 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB83)) | (~v165(constB83)) | v86(constB83))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10843,plain,
% 39.38/25.89 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB83) | (~v165(constB83)) | (~v148(constB83))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10842, 10841])).
% 39.38/25.89 tff(10844,plain,
% 39.38/25.89 (v86(constB83) | (~v148(constB83))),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10843, 10837, 10827])).
% 39.38/25.89 tff(10845,plain,
% 39.38/25.89 (v86(constB83)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10844, 10743])).
% 39.38/25.89 tff(10846,plain,
% 39.38/25.89 ($false),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10845, 78])).
% 39.38/25.89 tff(10847,plain,((~(constB83 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.38/25.89 tff(10848,plain,
% 39.38/25.89 (~(constB83 = sK0_VarCurr)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10847, 72])).
% 39.38/25.89 tff(10849,assumption,(constB59 = sK0_VarCurr), introduced(assumption)).
% 39.38/25.89 tff(10850,plain,
% 39.38/25.89 (v86(constB59) <=> v86(sK0_VarCurr)),
% 39.38/25.89 inference(monotonicity,[status(thm)],[10849])).
% 39.38/25.89 tff(10851,plain,
% 39.38/25.89 (v86(sK0_VarCurr) <=> v86(constB59)),
% 39.38/25.89 inference(symmetry,[status(thm)],[10850])).
% 39.38/25.89 tff(10852,plain,
% 39.38/25.89 ((~v86(sK0_VarCurr)) <=> (~v86(constB59))),
% 39.38/25.89 inference(monotonicity,[status(thm)],[10851])).
% 39.38/25.89 tff(10853,plain,
% 39.38/25.89 (~v86(constB59)),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[77, 10852])).
% 39.38/25.89 tff(10854,plain,
% 39.38/25.89 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB59, bitIndex1)) | (~v124(constB59)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB59, bitIndex1)) | (~v124(constB59)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10855,plain,
% 39.38/25.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB59, bitIndex1)) | (~v124(constB59)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10856,plain,
% 39.38/25.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB59, bitIndex1)) | (~v124(constB59))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 39.38/25.89 tff(10857,plain,
% 39.38/25.89 (~v90(constB59, bitIndex1)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10856, 2637, 7898])).
% 39.38/25.89 tff(10858,plain,
% 39.38/25.89 (((~![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)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10859,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB59, bitIndex1) | (~v88(constB59, bitIndex1)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10860,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB59, bitIndex1) | (~v88(constB59, bitIndex1))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 39.38/25.89 tff(10861,plain,
% 39.38/25.89 (~v88(constB59, bitIndex1)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10860, 10784, 10857])).
% 39.38/25.89 tff(10862,plain,
% 39.38/25.89 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex1) | (~v144(VarCurr))) <=> (v88(VarCurr, bitIndex1) | (~v144(VarCurr))))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10863,plain,
% 39.38/25.89 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10862])).
% 39.38/25.89 tff(10864,plain,
% 39.38/25.89 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10865,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_3')).
% 39.38/25.89 tff(10866,plain,
% 39.38/25.89 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10865, 10864])).
% 39.38/25.89 tff(10867,plain,(
% 39.38/25.89 ![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))),
% 39.38/25.89 inference(skolemize,[status(sab)],[10866])).
% 39.38/25.89 tff(10868,plain,
% 39.38/25.89 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10867, 10863])).
% 39.38/25.89 tff(10869,plain,
% 39.38/25.89 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB59, bitIndex1) | (~v144(constB59)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB59, bitIndex1) | (~v144(constB59)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10870,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB59, bitIndex1) | (~v144(constB59)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10871,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB59, bitIndex1) | (~v144(constB59))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 39.38/25.89 tff(10872,plain,
% 39.38/25.89 (~v144(constB59)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10871, 10868, 10861])).
% 39.38/25.89 tff(10873,plain,
% 39.38/25.89 (v90(constB58, bitIndex2)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[7821, 7201, 7166, 7132])).
% 39.38/25.89 tff(10874,plain,
% 39.38/25.89 (v90(constB59, bitIndex2)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[7743, 10873])).
% 39.38/25.89 tff(10875,plain,
% 39.38/25.89 (((~![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))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10876,plain,
% 39.38/25.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB59, bitIndex2)) | v88(constB59, bitIndex2))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10877,plain,
% 39.38/25.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB59, bitIndex2)) | v88(constB59, bitIndex2)),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10876, 10875])).
% 39.38/25.89 tff(10878,plain,
% 39.38/25.89 (v88(constB59, bitIndex2)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10877, 10566, 10874])).
% 39.38/25.89 tff(10879,plain,
% 39.38/25.89 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr))))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10880,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10879])).
% 39.38/25.89 tff(10881,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10882,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_3')).
% 39.38/25.89 tff(10883,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10882, 10881])).
% 39.38/25.89 tff(10884,plain,(
% 39.38/25.89 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))),
% 39.38/25.89 inference(skolemize,[status(sab)],[10883])).
% 39.38/25.89 tff(10885,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10884, 10880])).
% 39.38/25.89 tff(10886,plain,
% 39.38/25.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v143(constB59)) | (~v88(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10887,plain,
% 39.38/25.89 (((~v88(constB59, bitIndex2)) | (~v143(constB59))) <=> ((~v143(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10888,plain,
% 39.38/25.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v143(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v143(constB59)) | (~v88(constB59, bitIndex2))))),
% 39.38/25.89 inference(monotonicity,[status(thm)],[10887])).
% 39.38/25.89 tff(10889,plain,
% 39.38/25.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v143(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.38/25.89 inference(transitivity,[status(thm)],[10888, 10886])).
% 39.38/25.89 tff(10890,plain,
% 39.38/25.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v143(constB59)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10891,plain,
% 39.38/25.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB59)) | (~v88(constB59, bitIndex2))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10890, 10889])).
% 39.38/25.89 tff(10892,plain,
% 39.38/25.89 (~v143(constB59)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10891, 10885, 10878])).
% 39.38/25.89 tff(10893,plain,
% 39.38/25.89 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB59) | v144(constB59) | (~v142(constB59)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB59) | v144(constB59) | (~v142(constB59)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.38/25.89 tff(10894,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB59) | v144(constB59) | (~v142(constB59)))),
% 39.38/25.89 inference(quant_inst,[status(thm)],[])).
% 39.38/25.89 tff(10895,plain,
% 39.38/25.89 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB59) | v144(constB59) | (~v142(constB59))),
% 39.38/25.89 inference(modus_ponens,[status(thm)],[10894, 10893])).
% 39.38/25.89 tff(10896,plain,
% 39.38/25.89 (v144(constB59) | (~v142(constB59))),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10895, 10711, 10892])).
% 39.38/25.89 tff(10897,plain,
% 39.38/25.89 (~v142(constB59)),
% 39.38/25.89 inference(unit_resolution,[status(thm)],[10896, 10872])).
% 39.38/25.89 tff(10898,plain,
% 39.38/25.89 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))))),
% 39.38/25.89 inference(bind,[status(th)],[])).
% 39.38/25.89 tff(10899,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 39.38/25.89 inference(quant_intro,[status(thm)],[10898])).
% 39.38/25.89 tff(10900,plain,
% 39.38/25.89 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 39.38/25.89 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10901,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 39.46/25.90 tff(10902,plain,
% 39.46/25.90 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10901, 10900])).
% 39.46/25.90 tff(10903,plain,(
% 39.46/25.90 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 39.46/25.90 inference(skolemize,[status(sab)],[10902])).
% 39.46/25.90 tff(10904,plain,
% 39.46/25.90 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10903, 10899])).
% 39.46/25.90 tff(10905,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v139(constB59)) | (~v88(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10906,plain,
% 39.46/25.90 (((~v88(constB59, bitIndex2)) | (~v139(constB59))) <=> ((~v139(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10907,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v139(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v139(constB59)) | (~v88(constB59, bitIndex2))))),
% 39.46/25.90 inference(monotonicity,[status(thm)],[10906])).
% 39.46/25.90 tff(10908,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v139(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(transitivity,[status(thm)],[10907, 10905])).
% 39.46/25.90 tff(10909,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v139(constB59)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10910,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB59)) | (~v88(constB59, bitIndex2))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10909, 10908])).
% 39.46/25.90 tff(10911,plain,
% 39.46/25.90 (~v139(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10910, 10904, 10878])).
% 39.46/25.90 tff(10912,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB59)) | (~v88(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10913,plain,
% 39.46/25.90 (((~v88(constB59, bitIndex2)) | (~v140(constB59))) <=> ((~v140(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10914,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v140(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB59)) | (~v88(constB59, bitIndex2))))),
% 39.46/25.90 inference(monotonicity,[status(thm)],[10913])).
% 39.46/25.90 tff(10915,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v140(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(transitivity,[status(thm)],[10914, 10912])).
% 39.46/25.90 tff(10916,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v140(constB59)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10917,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB59)) | (~v88(constB59, bitIndex2))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10916, 10915])).
% 39.46/25.90 tff(10918,plain,
% 39.46/25.90 (~v140(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10917, 10577, 10878])).
% 39.46/25.90 tff(10919,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v170(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB59) | v139(constB59) | (~v170(constB59)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10920,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v170(constB59)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10921,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB59) | v139(constB59) | (~v170(constB59))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10920, 10919])).
% 39.46/25.90 tff(10922,plain,
% 39.46/25.90 (~v170(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10921, 10647, 10918, 10911])).
% 39.46/25.90 tff(10923,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB59)) | (~v88(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10924,plain,
% 39.46/25.90 (((~v88(constB59, bitIndex2)) | (~v141(constB59))) <=> ((~v141(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10925,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v141(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB59)) | (~v88(constB59, bitIndex2))))),
% 39.46/25.90 inference(monotonicity,[status(thm)],[10924])).
% 39.46/25.90 tff(10926,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v141(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB59)) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(transitivity,[status(thm)],[10925, 10923])).
% 39.46/25.90 tff(10927,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v141(constB59)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10928,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB59)) | (~v88(constB59, bitIndex2))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10927, 10926])).
% 39.46/25.90 tff(10929,plain,
% 39.46/25.90 (~v141(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10928, 10658, 10878])).
% 39.46/25.90 tff(10930,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB59) | v170(constB59) | (~v167(constB59)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB59) | v170(constB59) | (~v167(constB59)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10931,plain,
% 39.46/25.90 ((v141(constB59) | (~v167(constB59)) | v170(constB59)) <=> (v141(constB59) | v170(constB59) | (~v167(constB59)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10932,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB59) | (~v167(constB59)) | v170(constB59))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB59) | v170(constB59) | (~v167(constB59))))),
% 39.46/25.90 inference(monotonicity,[status(thm)],[10931])).
% 39.46/25.90 tff(10933,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB59) | (~v167(constB59)) | v170(constB59))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB59) | v170(constB59) | (~v167(constB59)))),
% 39.46/25.90 inference(transitivity,[status(thm)],[10932, 10930])).
% 39.46/25.90 tff(10934,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB59) | (~v167(constB59)) | v170(constB59))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10935,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB59) | v170(constB59) | (~v167(constB59))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10934, 10933])).
% 39.46/25.90 tff(10936,plain,
% 39.46/25.90 (v170(constB59) | (~v167(constB59))),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10935, 10672, 10929])).
% 39.46/25.90 tff(10937,plain,
% 39.46/25.90 (~v167(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10936, 10922])).
% 39.46/25.90 tff(10938,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB59) | v167(constB59) | (~v166(constB59)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB59) | v167(constB59) | (~v166(constB59)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10939,plain,
% 39.46/25.90 ((v142(constB59) | (~v166(constB59)) | v167(constB59)) <=> (v142(constB59) | v167(constB59) | (~v166(constB59)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10940,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB59) | (~v166(constB59)) | v167(constB59))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB59) | v167(constB59) | (~v166(constB59))))),
% 39.46/25.90 inference(monotonicity,[status(thm)],[10939])).
% 39.46/25.90 tff(10941,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB59) | (~v166(constB59)) | v167(constB59))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB59) | v167(constB59) | (~v166(constB59)))),
% 39.46/25.90 inference(transitivity,[status(thm)],[10940, 10938])).
% 39.46/25.90 tff(10942,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB59) | (~v166(constB59)) | v167(constB59))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10943,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB59) | v167(constB59) | (~v166(constB59))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10942, 10941])).
% 39.46/25.90 tff(10944,plain,
% 39.46/25.90 (v142(constB59) | (~v166(constB59))),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10943, 10725, 10937])).
% 39.46/25.90 tff(10945,plain,
% 39.46/25.90 (~v166(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10944, 10897])).
% 39.46/25.90 tff(10946,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB59) | v166(constB59))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB59) | v166(constB59))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10947,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB59) | v166(constB59))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10948,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB59) | v166(constB59)),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 39.46/25.90 tff(10949,plain,
% 39.46/25.90 (v148(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10948, 10739, 10945])).
% 39.46/25.90 tff(10950,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB59, bitIndex0) | (~v124(constB59)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB59, bitIndex0) | (~v124(constB59)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10951,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB59, bitIndex0) | (~v124(constB59)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10952,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB59, bitIndex0) | (~v124(constB59))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10951, 10950])).
% 39.46/25.90 tff(10953,plain,
% 39.46/25.90 (v90(constB59, bitIndex0)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10952, 1979, 7898])).
% 39.46/25.90 tff(10954,plain,
% 39.46/25.90 (((~![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))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10955,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB59, bitIndex0)) | v88(constB59, bitIndex0))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10956,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB59, bitIndex0)) | v88(constB59, bitIndex0)),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10955, 10954])).
% 39.46/25.90 tff(10957,plain,
% 39.46/25.90 (v88(constB59, bitIndex0)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10956, 10622, 10953])).
% 39.46/25.90 tff(10958,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59) | (~v88(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10959,plain,
% 39.46/25.90 (((~v88(constB59, bitIndex2)) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59)) <=> (v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10960,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB59, bitIndex2)) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59) | (~v88(constB59, bitIndex2))))),
% 39.46/25.90 inference(monotonicity,[status(thm)],[10959])).
% 39.46/25.90 tff(10961,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB59, bitIndex2)) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59) | (~v88(constB59, bitIndex2)))),
% 39.46/25.90 inference(transitivity,[status(thm)],[10960, 10958])).
% 39.46/25.90 tff(10962,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB59, bitIndex2)) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10963,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59) | (~v88(constB59, bitIndex2))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10962, 10961])).
% 39.46/25.90 tff(10964,plain,
% 39.46/25.90 (v88(constB59, bitIndex1) | (~v88(constB59, bitIndex0)) | v147(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10963, 10798, 10878])).
% 39.46/25.90 tff(10965,plain,
% 39.46/25.90 (v147(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10964, 10957, 10861])).
% 39.46/25.90 tff(10966,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB59) | (~v147(constB59)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB59) | (~v147(constB59)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10967,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB59) | (~v147(constB59)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10968,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB59) | (~v147(constB59))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10967, 10966])).
% 39.46/25.90 tff(10969,plain,
% 39.46/25.90 (v145(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10968, 10812, 10965])).
% 39.46/25.90 tff(10970,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB59) | (~v145(constB59)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB59) | (~v145(constB59)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10971,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB59) | (~v145(constB59)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10972,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB59) | (~v145(constB59))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 39.46/25.90 tff(10973,plain,
% 39.46/25.90 (v165(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10972, 10823, 10969])).
% 39.46/25.90 tff(10974,plain,
% 39.46/25.90 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB59) | (~v148(constB59)) | (~v165(constB59)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB59) | (~v148(constB59)) | (~v165(constB59)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10975,plain,
% 39.46/25.90 (((~v148(constB59)) | (~v165(constB59)) | v86(constB59)) <=> (v86(constB59) | (~v148(constB59)) | (~v165(constB59)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10976,plain,
% 39.46/25.90 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB59)) | (~v165(constB59)) | v86(constB59))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB59) | (~v148(constB59)) | (~v165(constB59))))),
% 39.46/25.90 inference(monotonicity,[status(thm)],[10975])).
% 39.46/25.90 tff(10977,plain,
% 39.46/25.90 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB59)) | (~v165(constB59)) | v86(constB59))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB59) | (~v148(constB59)) | (~v165(constB59)))),
% 39.46/25.90 inference(transitivity,[status(thm)],[10976, 10974])).
% 39.46/25.90 tff(10978,plain,
% 39.46/25.90 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB59)) | (~v165(constB59)) | v86(constB59))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10979,plain,
% 39.46/25.90 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB59) | (~v148(constB59)) | (~v165(constB59))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 39.46/25.90 tff(10980,plain,
% 39.46/25.90 (v86(constB59)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10979, 10837, 10973, 10949])).
% 39.46/25.90 tff(10981,plain,
% 39.46/25.90 ($false),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10980, 10853])).
% 39.46/25.90 tff(10982,plain,((~(constB59 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.46/25.90 tff(10983,plain,
% 39.46/25.90 (~(constB59 = sK0_VarCurr)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10982, 72])).
% 39.46/25.90 tff(10984,assumption,(~v180(sK0_VarCurr)), introduced(assumption)).
% 39.46/25.90 tff(10985,assumption,(v205(sK0_VarCurr)), introduced(assumption)).
% 39.46/25.90 tff(10986,plain,
% 39.46/25.90 (^[VarCurr: $i] : refl((v180(VarCurr) | (~v205(VarCurr))) <=> (v180(VarCurr) | (~v205(VarCurr))))),
% 39.46/25.90 inference(bind,[status(th)],[])).
% 39.46/25.90 tff(10987,plain,
% 39.46/25.90 (![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr)))),
% 39.46/25.90 inference(quant_intro,[status(thm)],[10986])).
% 39.46/25.90 tff(10988,plain,
% 39.46/25.90 (![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10989,axiom,(![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_56_1_1_1_2')).
% 39.46/25.90 tff(10990,plain,
% 39.46/25.90 (![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10989, 10988])).
% 39.46/25.90 tff(10991,plain,(
% 39.46/25.90 ![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr)))),
% 39.46/25.90 inference(skolemize,[status(sab)],[10990])).
% 39.46/25.90 tff(10992,plain,
% 39.46/25.90 (![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10991, 10987])).
% 39.46/25.90 tff(10993,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr)))) | (v180(sK0_VarCurr) | (~v205(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr)))) | v180(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(10994,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr)))) | (v180(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(10995,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v180(VarCurr) | (~v205(VarCurr)))) | v180(sK0_VarCurr) | (~v205(sK0_VarCurr))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[10994, 10993])).
% 39.46/25.90 tff(10996,plain,
% 39.46/25.90 ($false),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10995, 10992, 10985, 10984])).
% 39.46/25.90 tff(10997,plain,((~v205(sK0_VarCurr)) | v180(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.46/25.90 tff(10998,plain,
% 39.46/25.90 (v180(sK0_VarCurr)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[10997, 36])).
% 39.46/25.90 tff(10999,assumption,(constB49 = sK0_VarCurr), introduced(assumption)).
% 39.46/25.90 tff(11000,plain,
% 39.46/25.90 (v180(constB49) <=> v180(sK0_VarCurr)),
% 39.46/25.90 inference(monotonicity,[status(thm)],[10999])).
% 39.46/25.90 tff(11001,plain,
% 39.46/25.90 (v180(sK0_VarCurr) <=> v180(constB49)),
% 39.46/25.90 inference(symmetry,[status(thm)],[11000])).
% 39.46/25.90 tff(11002,assumption,(v180(sK0_VarCurr)), introduced(assumption)).
% 39.46/25.90 tff(11003,plain,
% 39.46/25.90 (v180(constB49)),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11002, 11001])).
% 39.46/25.90 tff(11004,plain,
% 39.46/25.90 (((~![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))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11005,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex2)) | v88(constB47, bitIndex2))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11006,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex2)) | v88(constB47, bitIndex2)),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11005, 11004])).
% 39.46/25.90 tff(11007,plain,
% 39.46/25.90 (v88(constB47, bitIndex2)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11006, 10566, 6308])).
% 39.46/25.90 tff(11008,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB47, bitIndex2)) | (~v140(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB47, bitIndex2)) | (~v140(constB47)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11009,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB47, bitIndex2)) | (~v140(constB47)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11010,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB47, bitIndex2)) | (~v140(constB47))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11009, 11008])).
% 39.46/25.90 tff(11011,plain,
% 39.46/25.90 (~v140(constB47)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11010, 10577, 11007])).
% 39.46/25.90 tff(11012,plain,
% 39.46/25.90 (((~![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))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11013,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11014,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0)),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11013, 11012])).
% 39.46/25.90 tff(11015,plain,
% 39.46/25.90 (v88(constB47, bitIndex0)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11014, 10622, 6373])).
% 39.46/25.90 tff(11016,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB47)) | (~v88(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB47)) | (~v88(constB47, bitIndex0)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11017,plain,
% 39.46/25.90 (((~v88(constB47, bitIndex0)) | (~v139(constB47))) <=> ((~v139(constB47)) | (~v88(constB47, bitIndex0)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11018,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v139(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB47)) | (~v88(constB47, bitIndex0))))),
% 39.46/25.90 inference(monotonicity,[status(thm)],[11017])).
% 39.46/25.90 tff(11019,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v139(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB47)) | (~v88(constB47, bitIndex0)))),
% 39.46/25.90 inference(transitivity,[status(thm)],[11018, 11016])).
% 39.46/25.90 tff(11020,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v139(constB47)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11021,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB47)) | (~v88(constB47, bitIndex0))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11020, 11019])).
% 39.46/25.90 tff(11022,plain,
% 39.46/25.90 (~v139(constB47)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11021, 10633, 11015])).
% 39.46/25.90 tff(11023,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB47) | v139(constB47) | (~v170(constB47)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB47) | v139(constB47) | (~v170(constB47)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11024,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB47) | v139(constB47) | (~v170(constB47)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11025,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB47) | v139(constB47) | (~v170(constB47))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11024, 11023])).
% 39.46/25.90 tff(11026,plain,
% 39.46/25.90 (~v170(constB47)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11025, 10647, 11022, 11011])).
% 39.46/25.90 tff(11027,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB47, bitIndex2)) | (~v141(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB47, bitIndex2)) | (~v141(constB47)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11028,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB47, bitIndex2)) | (~v141(constB47)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11029,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB47, bitIndex2)) | (~v141(constB47))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11028, 11027])).
% 39.46/25.90 tff(11030,plain,
% 39.46/25.90 (~v141(constB47)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11029, 10658, 11007])).
% 39.46/25.90 tff(11031,plain,
% 39.46/25.90 (^[VarCurr: $i] : refl((v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))) <=> (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))))),
% 39.46/25.90 inference(bind,[status(th)],[])).
% 39.46/25.90 tff(11032,plain,
% 39.46/25.90 (![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 39.46/25.90 inference(quant_intro,[status(thm)],[11031])).
% 39.46/25.90 tff(11033,plain,
% 39.46/25.90 (![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11034,plain,
% 39.46/25.90 (^[VarCurr: $i] : trans(monotonicity(rewrite(((~v169(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | (~v169(VarCurr)))), ((((~v169(VarCurr)) | v141(VarCurr)) | v170(VarCurr)) <=> ((v141(VarCurr) | (~v169(VarCurr))) | v170(VarCurr)))), rewrite(((v141(VarCurr) | (~v169(VarCurr))) | v170(VarCurr)) <=> (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))), ((((~v169(VarCurr)) | v141(VarCurr)) | v170(VarCurr)) <=> (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))))),
% 39.46/25.90 inference(bind,[status(th)],[])).
% 39.46/25.90 tff(11035,plain,
% 39.46/25.90 (![VarCurr: $i] : (((~v169(VarCurr)) | v141(VarCurr)) | v170(VarCurr)) <=> ![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 39.46/25.90 inference(quant_intro,[status(thm)],[11034])).
% 39.46/25.90 tff(11036,axiom,(![VarCurr: $i] : (((~v169(VarCurr)) | v141(VarCurr)) | v170(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1_1')).
% 39.46/25.90 tff(11037,plain,
% 39.46/25.90 (![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11036, 11035])).
% 39.46/25.90 tff(11038,plain,
% 39.46/25.90 (![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11037, 11033])).
% 39.46/25.90 tff(11039,plain,(
% 39.46/25.90 ![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 39.46/25.90 inference(skolemize,[status(sab)],[11038])).
% 39.46/25.90 tff(11040,plain,
% 39.46/25.90 (![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11039, 11032])).
% 39.46/25.90 tff(11041,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB47) | v170(constB47) | (~v169(constB47)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB47) | v170(constB47) | (~v169(constB47)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11042,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB47) | v170(constB47) | (~v169(constB47)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11043,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB47) | v170(constB47) | (~v169(constB47))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11042, 11041])).
% 39.46/25.90 tff(11044,plain,
% 39.46/25.90 (~v169(constB47)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11043, 11040, 11030, 11026])).
% 39.46/25.90 tff(11045,plain,
% 39.46/25.90 (((~![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)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11046,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11047,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11046, 11045])).
% 39.46/25.90 tff(11048,plain,
% 39.46/25.90 (~v88(constB47, bitIndex1)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11047, 10784, 6342])).
% 39.46/25.90 tff(11049,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB47, bitIndex0)) | v147(constB47) | (~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB47, bitIndex0)) | v147(constB47) | (~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11050,plain,
% 39.46/25.90 (((~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v147(constB47)) <=> ((~v88(constB47, bitIndex0)) | v147(constB47) | (~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11051,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v147(constB47))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB47, bitIndex0)) | v147(constB47) | (~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1)))),
% 39.46/25.90 inference(monotonicity,[status(thm)],[11050])).
% 39.46/25.90 tff(11052,plain,
% 39.46/25.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v147(constB47))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB47, bitIndex0)) | v147(constB47) | (~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1))),
% 39.46/25.90 inference(transitivity,[status(thm)],[11051, 11049])).
% 39.46/25.90 tff(11053,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v147(constB47))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11054,plain,
% 39.46/25.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB47, bitIndex0)) | v147(constB47) | (~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1)),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11053, 11052])).
% 39.46/25.90 tff(11055,plain,
% 39.46/25.90 (v147(constB47)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11054, 10798, 11015, 11007, 11048])).
% 39.46/25.90 tff(11056,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB47) | (~v147(constB47)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB47) | (~v147(constB47)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11057,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB47) | (~v147(constB47)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11058,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB47) | (~v147(constB47))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11057, 11056])).
% 39.46/25.90 tff(11059,plain,
% 39.46/25.90 (v145(constB47)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11058, 10812, 11055])).
% 39.46/25.90 tff(11060,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB47) | (~v145(constB47)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB47) | (~v145(constB47)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11061,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB47) | (~v145(constB47)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11062,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB47) | (~v145(constB47))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11061, 11060])).
% 39.46/25.90 tff(11063,plain,
% 39.46/25.90 (v165(constB47)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11062, 10823, 11059])).
% 39.46/25.90 tff(11064,plain,
% 39.46/25.90 (^[VarNext: $i] : refl(((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext))) <=> ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext))))),
% 39.46/25.90 inference(bind,[status(th)],[])).
% 39.46/25.90 tff(11065,plain,
% 39.46/25.90 (![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext))) <=> ![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 39.46/25.90 inference(quant_intro,[status(thm)],[11064])).
% 39.46/25.90 tff(11066,plain,
% 39.46/25.90 (![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext))) <=> ![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11067,plain,
% 39.46/25.90 (^[VarNext: $i] : rewrite(((v169(VarNext) | (~v162(VarNext))) | (~v165(VarNext))) <=> ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext))))),
% 39.46/25.90 inference(bind,[status(th)],[])).
% 39.46/25.90 tff(11068,plain,
% 39.46/25.90 (![VarNext: $i] : ((v169(VarNext) | (~v162(VarNext))) | (~v165(VarNext))) <=> ![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 39.46/25.90 inference(quant_intro,[status(thm)],[11067])).
% 39.46/25.90 tff(11069,axiom,(![VarNext: $i] : ((v169(VarNext) | (~v162(VarNext))) | (~v165(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_2')).
% 39.46/25.90 tff(11070,plain,
% 39.46/25.90 (![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11069, 11068])).
% 39.46/25.90 tff(11071,plain,
% 39.46/25.90 (![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11070, 11066])).
% 39.46/25.90 tff(11072,plain,(
% 39.46/25.90 ![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 39.46/25.90 inference(skolemize,[status(sab)],[11071])).
% 39.46/25.90 tff(11073,plain,
% 39.46/25.90 (![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11072, 11065])).
% 39.46/25.90 tff(11074,plain,
% 39.46/25.90 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB47)) | (~v165(constB47)) | v169(constB47))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB47)) | (~v165(constB47)) | v169(constB47))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11075,plain,
% 39.46/25.90 (((~v165(constB47)) | v169(constB47) | (~v162(constB47))) <=> ((~v162(constB47)) | (~v165(constB47)) | v169(constB47))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11076,plain,
% 39.46/25.90 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB47)) | v169(constB47) | (~v162(constB47)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB47)) | (~v165(constB47)) | v169(constB47)))),
% 39.46/25.90 inference(monotonicity,[status(thm)],[11075])).
% 39.46/25.90 tff(11077,plain,
% 39.46/25.90 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB47)) | v169(constB47) | (~v162(constB47)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB47)) | (~v165(constB47)) | v169(constB47))),
% 39.46/25.90 inference(transitivity,[status(thm)],[11076, 11074])).
% 39.46/25.90 tff(11078,plain,
% 39.46/25.90 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB47)) | v169(constB47) | (~v162(constB47)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11079,plain,
% 39.46/25.90 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB47)) | (~v165(constB47)) | v169(constB47)),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11078, 11077])).
% 39.46/25.90 tff(11080,plain,
% 39.46/25.90 (~v162(constB47)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11079, 11073, 11063, 11044])).
% 39.46/25.90 tff(11081,plain,
% 39.46/25.90 (^[VarCurr: $i] : refl((v162(VarCurr) | (~v187(VarCurr))) <=> (v162(VarCurr) | (~v187(VarCurr))))),
% 39.46/25.90 inference(bind,[status(th)],[])).
% 39.46/25.90 tff(11082,plain,
% 39.46/25.90 (![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))),
% 39.46/25.90 inference(quant_intro,[status(thm)],[11081])).
% 39.46/25.90 tff(11083,plain,
% 39.46/25.90 (![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11084,axiom,(![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_3')).
% 39.46/25.90 tff(11085,plain,
% 39.46/25.90 (![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11084, 11083])).
% 39.46/25.90 tff(11086,plain,(
% 39.46/25.90 ![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))),
% 39.46/25.90 inference(skolemize,[status(sab)],[11085])).
% 39.46/25.90 tff(11087,plain,
% 39.46/25.90 (![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11086, 11082])).
% 39.46/25.90 tff(11088,plain,
% 39.46/25.90 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB47) | (~v187(constB47)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB47) | (~v187(constB47)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11089,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB47) | (~v187(constB47)))),
% 39.46/25.90 inference(quant_inst,[status(thm)],[])).
% 39.46/25.90 tff(11090,plain,
% 39.46/25.90 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB47) | (~v187(constB47))),
% 39.46/25.90 inference(modus_ponens,[status(thm)],[11089, 11088])).
% 39.46/25.90 tff(11091,plain,
% 39.46/25.90 (~v187(constB47)),
% 39.46/25.90 inference(unit_resolution,[status(thm)],[11090, 11087, 11080])).
% 39.46/25.90 tff(11092,plain,
% 39.46/25.90 (^[VarCurr: $i] : refl((v187(VarCurr) | (~v185(VarCurr))) <=> (v187(VarCurr) | (~v185(VarCurr))))),
% 39.46/25.90 inference(bind,[status(th)],[])).
% 39.46/25.90 tff(11093,plain,
% 39.46/25.90 (![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))),
% 39.46/25.90 inference(quant_intro,[status(thm)],[11092])).
% 39.46/25.90 tff(11094,plain,
% 39.46/25.90 (![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))),
% 39.46/25.90 inference(rewrite,[status(thm)],[])).
% 39.46/25.90 tff(11095,axiom,(![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_2')).
% 39.46/25.91 tff(11096,plain,
% 39.46/25.91 (![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11095, 11094])).
% 39.46/25.91 tff(11097,plain,(
% 39.46/25.91 ![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11096])).
% 39.46/25.91 tff(11098,plain,
% 39.46/25.91 (![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11097, 11093])).
% 39.46/25.91 tff(11099,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB47) | (~v185(constB47)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB47) | (~v185(constB47)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11100,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB47) | (~v185(constB47)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11101,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB47) | (~v185(constB47))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11100, 11099])).
% 39.46/25.91 tff(11102,plain,
% 39.46/25.91 (~v185(constB47)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11101, 11098, 11091])).
% 39.46/25.91 tff(11103,assumption,(v18(constB48)), introduced(assumption)).
% 39.46/25.91 tff(11104,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11105,plain,
% 39.46/25.91 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11104])).
% 39.46/25.91 tff(11106,plain,
% 39.46/25.91 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11107,axiom,(![VarCurr: $i] : (~v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 39.46/25.91 tff(11108,plain,
% 39.46/25.91 (![VarCurr: $i] : (~v18(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11107, 11106])).
% 39.46/25.91 tff(11109,plain,(
% 39.46/25.91 ![VarCurr: $i] : (~v18(VarCurr))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11108])).
% 39.46/25.91 tff(11110,plain,
% 39.46/25.91 (![VarCurr: $i] : (~v18(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11109, 11105])).
% 39.46/25.91 tff(11111,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB48))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11112,plain,
% 39.46/25.91 ($false),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11111, 11110, 11103])).
% 39.46/25.91 tff(11113,plain,(~v18(constB48)), inference(lemma,lemma(discharge,[]))).
% 39.46/25.91 tff(11114,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11115,plain,
% 39.46/25.91 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11114])).
% 39.46/25.91 tff(11116,plain,
% 39.46/25.91 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11117,axiom,(![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 39.46/25.91 tff(11118,plain,
% 39.46/25.91 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11117, 11116])).
% 39.46/25.91 tff(11119,plain,(
% 39.46/25.91 ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11118])).
% 39.46/25.91 tff(11120,plain,
% 39.46/25.91 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11119, 11115])).
% 39.46/25.91 tff(11121,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11122,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11123,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11122, 11121])).
% 39.46/25.91 tff(11124,plain,
% 39.46/25.91 (v22(constB48)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11123, 11120, 6428])).
% 39.46/25.91 tff(11125,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl(((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11126,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11125])).
% 39.46/25.91 tff(11127,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11128,plain,
% 39.46/25.91 (^[VarCurr: $i] : rewrite(((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11129,plain,
% 39.46/25.91 (![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11128])).
% 39.46/25.91 tff(11130,axiom,(![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 39.46/25.91 tff(11131,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11130, 11129])).
% 39.46/25.91 tff(11132,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11131, 11127])).
% 39.46/25.91 tff(11133,plain,(
% 39.46/25.91 ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11132])).
% 39.46/25.91 tff(11134,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11133, 11126])).
% 39.46/25.91 tff(11135,plain,
% 39.46/25.91 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB48)) | (~v22(constB48)) | v18(constB48))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB48)) | (~v22(constB48)) | v18(constB48))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11136,plain,
% 39.46/25.91 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB48)) | (~v22(constB48)) | v18(constB48))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11137,plain,
% 39.46/25.91 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB48)) | (~v22(constB48)) | v18(constB48)),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11136, 11135])).
% 39.46/25.91 tff(11138,plain,
% 39.46/25.91 ((~v19(constB48)) | v18(constB48)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11137, 11134, 11124])).
% 39.46/25.91 tff(11139,plain,
% 39.46/25.91 (~v19(constB48)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11138, 11113])).
% 39.46/25.91 tff(11140,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11141,plain,
% 39.46/25.91 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11140])).
% 39.46/25.91 tff(11142,plain,
% 39.46/25.91 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11143,plain,
% 39.46/25.91 (^[VarCurr: $i] : rewrite((v19(VarCurr) | v13(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11144,plain,
% 39.46/25.91 (![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11143])).
% 39.46/25.91 tff(11145,axiom,(![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_1_2')).
% 39.46/25.91 tff(11146,plain,
% 39.46/25.91 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11145, 11144])).
% 39.46/25.91 tff(11147,plain,
% 39.46/25.91 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11146, 11142])).
% 39.46/25.91 tff(11148,plain,(
% 39.46/25.91 ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11147])).
% 39.46/25.91 tff(11149,plain,
% 39.46/25.91 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11148, 11141])).
% 39.46/25.91 tff(11150,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11151,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11152,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48)),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11151, 11150])).
% 39.46/25.91 tff(11153,plain,
% 39.46/25.91 (v13(constB48)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11152, 11149, 11139])).
% 39.46/25.91 tff(11154,plain,
% 39.46/25.91 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11155,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11154])).
% 39.46/25.91 tff(11156,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11157,plain,
% 39.46/25.91 (^[VarNext: $i, VarCurr: $i] : rewrite(((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11158,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11157])).
% 39.46/25.91 tff(11159,axiom,(![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_13_2')).
% 39.46/25.91 tff(11160,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11159, 11158])).
% 39.46/25.91 tff(11161,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11160, 11156])).
% 39.46/25.91 tff(11162,plain,(
% 39.46/25.91 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11161])).
% 39.46/25.91 tff(11163,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11162, 11155])).
% 39.46/25.91 tff(11164,plain,
% 39.46/25.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11165,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11166,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47)),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11165, 11164])).
% 39.46/25.91 tff(11167,plain,
% 39.46/25.91 ((~v13(constB48)) | v9(constB47)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11166, 11163, 6408])).
% 39.46/25.91 tff(11168,plain,
% 39.46/25.91 (v9(constB47)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11167, 11153])).
% 39.46/25.91 tff(11169,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11170,plain,
% 39.46/25.91 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11169])).
% 39.46/25.91 tff(11171,plain,
% 39.46/25.91 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11172,plain,
% 39.46/25.91 (^[VarCurr: $i] : trans(monotonicity(rewrite((v184(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v184(VarCurr))), (((v184(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v184(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v184(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))), (((v184(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11173,plain,
% 39.46/25.91 (![VarCurr: $i] : ((v184(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11172])).
% 39.46/25.91 tff(11174,axiom,(![VarCurr: $i] : ((v184(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1')).
% 39.46/25.91 tff(11175,plain,
% 39.46/25.91 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11174, 11173])).
% 39.46/25.91 tff(11176,plain,
% 39.46/25.91 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11175, 11171])).
% 39.46/25.91 tff(11177,plain,(
% 39.46/25.91 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11176])).
% 39.46/25.91 tff(11178,plain,
% 39.46/25.91 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11177, 11170])).
% 39.46/25.91 tff(11179,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v184(constB47))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB47) | (~v9(constB47)) | v184(constB47))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11180,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v184(constB47))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11181,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB47) | (~v9(constB47)) | v184(constB47)),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11180, 11179])).
% 39.46/25.91 tff(11182,plain,
% 39.46/25.91 ((~v9(constB47)) | v184(constB47)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11181, 11178, 6284])).
% 39.46/25.91 tff(11183,plain,
% 39.46/25.91 (v184(constB47)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11182, 11168])).
% 39.46/25.91 tff(11184,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl((v183(VarCurr) | (~v184(VarCurr))) <=> (v183(VarCurr) | (~v184(VarCurr))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11185,plain,
% 39.46/25.91 (![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11184])).
% 39.46/25.91 tff(11186,plain,
% 39.46/25.91 (![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11187,axiom,(![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_1')).
% 39.46/25.91 tff(11188,plain,
% 39.46/25.91 (![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11187, 11186])).
% 39.46/25.91 tff(11189,plain,(
% 39.46/25.91 ![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11188])).
% 39.46/25.91 tff(11190,plain,
% 39.46/25.91 (![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11189, 11185])).
% 39.46/25.91 tff(11191,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB47) | (~v184(constB47)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB47) | (~v184(constB47)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11192,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB47) | (~v184(constB47)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11193,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB47) | (~v184(constB47))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11192, 11191])).
% 39.46/25.91 tff(11194,plain,
% 39.46/25.91 (v183(constB47)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11193, 11190, 11183])).
% 39.46/25.91 tff(11195,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl(((~v183(VarCurr)) | (~v181(VarCurr))) <=> ((~v183(VarCurr)) | (~v181(VarCurr))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11196,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11195])).
% 39.46/25.91 tff(11197,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11198,axiom,(![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_3')).
% 39.46/25.91 tff(11199,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 39.46/25.91 tff(11200,plain,(
% 39.46/25.91 ![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11199])).
% 39.46/25.91 tff(11201,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11200, 11196])).
% 39.46/25.91 tff(11202,plain,
% 39.46/25.91 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB47)) | (~v181(constB47)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB47)) | (~v181(constB47)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11203,plain,
% 39.46/25.91 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB47)) | (~v181(constB47)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11204,plain,
% 39.46/25.91 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB47)) | (~v181(constB47))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11203, 11202])).
% 39.46/25.91 tff(11205,plain,
% 39.46/25.91 (~v181(constB47)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11204, 11201, 11194])).
% 39.46/25.91 tff(11206,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl((v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11207,plain,
% 39.46/25.91 (![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11206])).
% 39.46/25.91 tff(11208,plain,
% 39.46/25.91 (![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11209,plain,
% 39.46/25.91 (^[VarCurr: $i] : trans(monotonicity(rewrite((v185(VarCurr) | v181(VarCurr)) <=> (v181(VarCurr) | v185(VarCurr))), (((v185(VarCurr) | v181(VarCurr)) | (~v178(VarCurr))) <=> ((v181(VarCurr) | v185(VarCurr)) | (~v178(VarCurr))))), rewrite(((v181(VarCurr) | v185(VarCurr)) | (~v178(VarCurr))) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))), (((v185(VarCurr) | v181(VarCurr)) | (~v178(VarCurr))) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11210,plain,
% 39.46/25.91 (![VarCurr: $i] : ((v185(VarCurr) | v181(VarCurr)) | (~v178(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11209])).
% 39.46/25.91 tff(11211,axiom,(![VarCurr: $i] : ((v185(VarCurr) | v181(VarCurr)) | (~v178(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_3')).
% 39.46/25.91 tff(11212,plain,
% 39.46/25.91 (![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11211, 11210])).
% 39.46/25.91 tff(11213,plain,
% 39.46/25.91 (![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11212, 11208])).
% 39.46/25.91 tff(11214,plain,(
% 39.46/25.91 ![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11213])).
% 39.46/25.91 tff(11215,plain,
% 39.46/25.91 (![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11214, 11207])).
% 39.46/25.91 tff(11216,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB47) | v185(constB47) | (~v178(constB47)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB47) | v185(constB47) | (~v178(constB47)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11217,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB47) | v185(constB47) | (~v178(constB47)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11218,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB47) | v185(constB47) | (~v178(constB47))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 39.46/25.91 tff(11219,plain,
% 39.46/25.91 (v185(constB47) | (~v178(constB47))),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11218, 11215, 11205])).
% 39.46/25.91 tff(11220,plain,
% 39.46/25.91 (~v178(constB47)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11219, 11102])).
% 39.46/25.91 tff(11221,plain,
% 39.46/25.91 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11222,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11221])).
% 39.46/25.91 tff(11223,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11224,plain,
% 39.46/25.91 (^[VarNext: $i, VarCurr: $i] : rewrite(((v178(VarCurr) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11225,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((v178(VarCurr) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11224])).
% 39.46/25.91 tff(11226,axiom,(![VarNext: $i, VarCurr: $i] : ((v178(VarCurr) | (~v180(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_11_1_2')).
% 39.46/25.91 tff(11227,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11226, 11225])).
% 39.46/25.91 tff(11228,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11227, 11223])).
% 39.46/25.91 tff(11229,plain,(
% 39.46/25.91 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11228])).
% 39.46/25.91 tff(11230,plain,
% 39.46/25.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11229, 11222])).
% 39.46/25.91 tff(11231,plain,
% 39.46/25.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11232,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11233,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11232, 11231])).
% 39.46/25.91 tff(11234,plain,
% 39.46/25.91 (v178(constB47) | (~v180(constB48))),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11233, 11230, 6408])).
% 39.46/25.91 tff(11235,plain,
% 39.46/25.91 (~v180(constB48)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11234, 11220])).
% 39.46/25.91 tff(11236,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl((v180(VarCurr) | (~v181(VarCurr))) <=> (v180(VarCurr) | (~v181(VarCurr))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11237,plain,
% 39.46/25.91 (![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11236])).
% 39.46/25.91 tff(11238,plain,
% 39.46/25.91 (![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11239,axiom,(![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_2')).
% 39.46/25.91 tff(11240,plain,
% 39.46/25.91 (![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11239, 11238])).
% 39.46/25.91 tff(11241,plain,(
% 39.46/25.91 ![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11240])).
% 39.46/25.91 tff(11242,plain,
% 39.46/25.91 (![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11241, 11237])).
% 39.46/25.91 tff(11243,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB48) | (~v181(constB48)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB48) | (~v181(constB48)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11244,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB48) | (~v181(constB48)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11245,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB48) | (~v181(constB48))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11244, 11243])).
% 39.46/25.91 tff(11246,plain,
% 39.46/25.91 (~v181(constB48)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11245, 11242, 11235])).
% 39.46/25.91 tff(11247,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl(((~v1(VarCurr)) | (~v184(VarCurr))) <=> ((~v1(VarCurr)) | (~v184(VarCurr))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11248,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11247])).
% 39.46/25.91 tff(11249,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11250,axiom,(![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_2')).
% 39.46/25.91 tff(11251,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11250, 11249])).
% 39.46/25.91 tff(11252,plain,(
% 39.46/25.91 ![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11251])).
% 39.46/25.91 tff(11253,plain,
% 39.46/25.91 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11252, 11248])).
% 39.46/25.91 tff(11254,plain,
% 39.46/25.91 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB48)) | (~v184(constB48)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB48)) | (~v184(constB48)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11255,plain,
% 39.46/25.91 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB48)) | (~v184(constB48)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11256,plain,
% 39.46/25.91 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB48)) | (~v184(constB48))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11255, 11254])).
% 39.46/25.91 tff(11257,plain,
% 39.46/25.91 (~v184(constB48)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11256, 11253, 6428])).
% 39.46/25.91 tff(11258,plain,
% 39.46/25.91 (^[VarCurr: $i] : refl((v184(VarCurr) | (~v187(VarCurr))) <=> (v184(VarCurr) | (~v187(VarCurr))))),
% 39.46/25.91 inference(bind,[status(th)],[])).
% 39.46/25.91 tff(11259,plain,
% 39.46/25.91 (![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))),
% 39.46/25.91 inference(quant_intro,[status(thm)],[11258])).
% 39.46/25.91 tff(11260,plain,
% 39.46/25.91 (![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11261,axiom,(![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_2')).
% 39.46/25.91 tff(11262,plain,
% 39.46/25.91 (![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11261, 11260])).
% 39.46/25.91 tff(11263,plain,(
% 39.46/25.91 ![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))),
% 39.46/25.91 inference(skolemize,[status(sab)],[11262])).
% 39.46/25.91 tff(11264,plain,
% 39.46/25.91 (![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11263, 11259])).
% 39.46/25.91 tff(11265,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB48) | (~v187(constB48)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB48) | (~v187(constB48)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11266,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB48) | (~v187(constB48)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11267,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB48) | (~v187(constB48))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11266, 11265])).
% 39.46/25.91 tff(11268,plain,
% 39.46/25.91 (~v187(constB48)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11267, 11264, 11257])).
% 39.46/25.91 tff(11269,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB48) | (~v185(constB48)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB48) | (~v185(constB48)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11270,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB48) | (~v185(constB48)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11271,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB48) | (~v185(constB48))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11270, 11269])).
% 39.46/25.91 tff(11272,plain,
% 39.46/25.91 (~v185(constB48)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11271, 11098, 11268])).
% 39.46/25.91 tff(11273,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB48) | v185(constB48) | (~v178(constB48)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB48) | v185(constB48) | (~v178(constB48)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11274,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB48) | v185(constB48) | (~v178(constB48)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11275,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB48) | v185(constB48) | (~v178(constB48))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11274, 11273])).
% 39.46/25.91 tff(11276,plain,
% 39.46/25.91 (v181(constB48) | (~v178(constB48))),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11275, 11215, 11272])).
% 39.46/25.91 tff(11277,plain,
% 39.46/25.91 (~v178(constB48)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11276, 11246])).
% 39.46/25.91 tff(11278,plain,
% 39.46/25.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11279,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11280,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11279, 11278])).
% 39.46/25.91 tff(11281,plain,
% 39.46/25.91 (v178(constB48) | (~v180(constB49))),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11280, 11230, 6474])).
% 39.46/25.91 tff(11282,plain,
% 39.46/25.91 (~v180(constB49)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11281, 11277])).
% 39.46/25.91 tff(11283,plain,
% 39.46/25.91 ($false),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11282, 11003])).
% 39.46/25.91 tff(11284,plain,((~(constB49 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 39.46/25.91 tff(11285,plain,
% 39.46/25.91 (~(constB49 = sK0_VarCurr)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11284, 10998])).
% 39.46/25.91 tff(11286,assumption,(constB119 = sK0_VarCurr), introduced(assumption)).
% 39.46/25.91 tff(11287,plain,
% 39.46/25.91 (v180(constB119) <=> v180(sK0_VarCurr)),
% 39.46/25.91 inference(monotonicity,[status(thm)],[11286])).
% 39.46/25.91 tff(11288,plain,
% 39.46/25.91 (v180(sK0_VarCurr) <=> v180(constB119)),
% 39.46/25.91 inference(symmetry,[status(thm)],[11287])).
% 39.46/25.91 tff(11289,plain,
% 39.46/25.91 (v180(constB119)),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11002, 11288])).
% 39.46/25.91 tff(11290,plain,
% 39.46/25.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11291,plain,
% 39.46/25.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11292,plain,
% 39.46/25.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83)),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11291, 11290])).
% 39.46/25.91 tff(11293,plain,
% 39.46/25.91 (v124(constB83)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11292, 1264, 10612, 10777, 10556])).
% 39.46/25.91 tff(11294,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB83) | (~v124(constB83)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB83) | (~v124(constB83)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11295,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB83) | (~v124(constB83)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11296,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB83) | (~v124(constB83))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11295, 11294])).
% 39.46/25.91 tff(11297,plain,
% 39.46/25.91 (v114(constB83)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11296, 1236, 11293])).
% 39.46/25.91 tff(11298,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11299,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11300,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11299, 11298])).
% 39.46/25.91 tff(11301,plain,
% 39.46/25.91 (v113(constB83)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11300, 294, 11297])).
% 39.46/25.91 tff(11302,assumption,(v26(constB83)), introduced(assumption)).
% 39.46/25.91 tff(11303,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11304,plain,
% 39.46/25.91 ($false),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11303, 86, 11302])).
% 39.46/25.91 tff(11305,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 39.46/25.91 tff(11306,plain,
% 39.46/25.91 (((~![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)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11307,plain,
% 39.46/25.91 ((v26(constB83) | (~v113(constB83)) | v112(constB83)) <=> (v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11308,plain,
% 39.46/25.91 (((~![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))))),
% 39.46/25.91 inference(monotonicity,[status(thm)],[11307])).
% 39.46/25.91 tff(11309,plain,
% 39.46/25.91 (((~![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)))),
% 39.46/25.91 inference(transitivity,[status(thm)],[11308, 11306])).
% 39.46/25.91 tff(11310,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11311,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11310, 11309])).
% 39.46/25.91 tff(11312,plain,
% 39.46/25.91 (v112(constB83) | (~v113(constB83))),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11311, 308, 11305])).
% 39.46/25.91 tff(11313,plain,
% 39.46/25.91 (v112(constB83)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11312, 11301])).
% 39.46/25.91 tff(11314,plain,
% 39.46/25.91 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11315,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11316,plain,
% 39.46/25.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11315, 11314])).
% 39.46/25.91 tff(11317,plain,
% 39.46/25.91 (v108(constB83)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11316, 320, 11313])).
% 39.46/25.91 tff(11318,plain,
% 39.46/25.91 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11319,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 39.46/25.91 tff(11320,plain,
% 39.46/25.91 (nextState(constB83, constB84)),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11319, 11318])).
% 39.46/25.91 tff(11321,plain,
% 39.46/25.91 (((~![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)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11322,plain,
% 39.46/25.91 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11323,plain,
% 39.46/25.91 (((~![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))))),
% 39.46/25.91 inference(monotonicity,[status(thm)],[11322])).
% 39.46/25.91 tff(11324,plain,
% 39.46/25.91 (((~![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)))),
% 39.46/25.91 inference(transitivity,[status(thm)],[11323, 11321])).
% 39.46/25.91 tff(11325,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11326,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11325, 11324])).
% 39.46/25.91 tff(11327,plain,
% 39.46/25.91 (v110(constB84) | (~v108(constB83))),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11326, 337, 11320])).
% 39.46/25.91 tff(11328,plain,
% 39.46/25.91 (v110(constB84)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11327, 11317])).
% 39.46/25.91 tff(11329,plain,
% 39.46/25.91 (((~![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)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11330,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11331,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11330, 11329])).
% 39.46/25.91 tff(11332,plain,
% 39.46/25.91 (~v104(constB84)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11331, 355, 11320, 10532])).
% 39.46/25.91 tff(11333,plain,
% 39.46/25.91 (((~![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))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11334,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11335,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11334, 11333])).
% 39.46/25.91 tff(11336,plain,
% 39.46/25.91 (v102(constB84) | v104(constB84)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11335, 369, 11320])).
% 39.46/25.91 tff(11337,plain,
% 39.46/25.91 (v102(constB84)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11336, 11332])).
% 39.46/25.91 tff(11338,plain,
% 39.46/25.91 (v1(constB84) <=> v1(constB84)),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11339,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 39.46/25.91 tff(11340,plain,
% 39.46/25.91 (v1(constB84)),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11339, 11338])).
% 39.46/25.91 tff(11341,plain,
% 39.46/25.91 (((~![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)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11342,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11343,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11342, 11341])).
% 39.46/25.91 tff(11344,plain,
% 39.46/25.91 (v101(constB84) | (~v102(constB84))),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11343, 387, 11320, 11340])).
% 39.46/25.91 tff(11345,plain,
% 39.46/25.91 (v101(constB84)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11344, 11337])).
% 39.46/25.91 tff(11346,plain,
% 39.46/25.91 (((~![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)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11347,plain,
% 39.46/25.91 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 39.46/25.91 inference(rewrite,[status(thm)],[])).
% 39.46/25.91 tff(11348,plain,
% 39.46/25.91 (((~![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))))),
% 39.46/25.91 inference(monotonicity,[status(thm)],[11347])).
% 39.46/25.91 tff(11349,plain,
% 39.46/25.91 (((~![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)))),
% 39.46/25.91 inference(transitivity,[status(thm)],[11348, 11346])).
% 39.46/25.91 tff(11350,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 39.46/25.91 inference(quant_inst,[status(thm)],[])).
% 39.46/25.91 tff(11351,plain,
% 39.46/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 39.46/25.91 inference(modus_ponens,[status(thm)],[11350, 11349])).
% 39.46/25.91 tff(11352,plain,
% 39.46/25.91 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11351, 402, 11320])).
% 39.46/25.91 tff(11353,plain,
% 39.46/25.91 (v100(constB84) | (~v110(constB84))),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11352, 11345])).
% 39.46/25.91 tff(11354,plain,
% 39.46/25.91 (v100(constB84)),
% 39.46/25.91 inference(unit_resolution,[status(thm)],[11353, 11328])).
% 39.46/25.91 tff(11355,plain,
% 39.46/25.91 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB83)) | v130(constB83, bitIndex2))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11356,plain,
% 39.46/25.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB83)) | v130(constB83, bitIndex2))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11357,plain,
% 39.46/25.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB83)) | v130(constB83, bitIndex2)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 39.46/25.92 tff(11358,plain,
% 39.46/25.92 (v130(constB83, bitIndex2)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11357, 2303, 11293])).
% 39.46/25.92 tff(11359,plain,
% 39.46/25.92 (((~![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))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11360,plain,
% 39.46/25.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11361,plain,
% 39.46/25.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11360, 11359])).
% 39.46/25.92 tff(11362,plain,
% 39.46/25.92 ((~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11361, 1821, 11305])).
% 39.46/25.92 tff(11363,plain,
% 39.46/25.92 (v127(constB83, bitIndex2)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11362, 11358])).
% 39.46/25.92 tff(11364,plain,
% 39.46/25.92 (((~![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))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11365,plain,
% 39.46/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11366,plain,
% 39.46/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11365, 11364])).
% 39.46/25.92 tff(11367,plain,
% 39.46/25.92 ((~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11366, 1836, 11320])).
% 39.46/25.92 tff(11368,plain,
% 39.46/25.92 (v129(constB84, bitIndex2)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11367, 11363])).
% 39.46/25.92 tff(11369,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11370,plain,
% 39.46/25.92 ((v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2))) <=> (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11371,plain,
% 39.46/25.92 (((~![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))))),
% 39.46/25.92 inference(monotonicity,[status(thm)],[11370])).
% 39.46/25.92 tff(11372,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(transitivity,[status(thm)],[11371, 11369])).
% 39.46/25.92 tff(11373,plain,
% 39.46/25.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11374,plain,
% 39.46/25.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11373, 11372])).
% 39.46/25.92 tff(11375,plain,
% 39.46/25.92 (v90(constB84, bitIndex2) | (~v100(constB84))),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11374, 2100, 11368])).
% 39.46/25.92 tff(11376,plain,
% 39.46/25.92 (v90(constB84, bitIndex2)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11375, 11354])).
% 39.46/25.92 tff(11377,plain,
% 39.46/25.92 ((~v1(constB85)) <=> (~v1(constB85))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11378,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 39.46/25.92 tff(11379,plain,
% 39.46/25.92 (~v1(constB85)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11378, 11377])).
% 39.46/25.92 tff(11380,plain,
% 39.46/25.92 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11381,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 39.46/25.92 tff(11382,plain,
% 39.46/25.92 (nextState(constB84, constB85)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11381, 11380])).
% 39.46/25.92 tff(11383,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11384,plain,
% 39.46/25.92 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11385,plain,
% 39.46/25.92 (((~![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))))),
% 39.46/25.92 inference(monotonicity,[status(thm)],[11384])).
% 39.46/25.92 tff(11386,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(transitivity,[status(thm)],[11385, 11383])).
% 39.46/25.92 tff(11387,plain,
% 39.46/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11388,plain,
% 39.46/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11387, 11386])).
% 39.46/25.92 tff(11389,plain,
% 39.46/25.92 (~v101(constB85)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11388, 133, 11382, 11379])).
% 39.46/25.92 tff(11390,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11391,plain,
% 39.46/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11392,plain,
% 39.46/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 39.46/25.92 tff(11393,plain,
% 39.46/25.92 (v101(constB85) | (~v100(constB85))),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11392, 150, 11382])).
% 39.46/25.92 tff(11394,plain,
% 39.46/25.92 (~v100(constB85)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11393, 11389])).
% 39.46/25.92 tff(11395,plain,
% 39.46/25.92 (((~![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))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11396,plain,
% 39.46/25.92 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)) <=> ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11397,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(monotonicity,[status(thm)],[11396])).
% 39.46/25.92 tff(11398,plain,
% 39.46/25.92 (((~![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))),
% 39.46/25.92 inference(transitivity,[status(thm)],[11397, 11395])).
% 39.46/25.92 tff(11399,plain,
% 39.46/25.92 ((~![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))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11400,plain,
% 39.46/25.92 ((~![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)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 39.46/25.92 tff(11401,plain,
% 39.46/25.92 ((~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11400, 2118, 11382])).
% 39.46/25.92 tff(11402,plain,
% 39.46/25.92 ((~v90(constB84, bitIndex2)) | v90(constB85, bitIndex2)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11401, 11394])).
% 39.46/25.92 tff(11403,plain,
% 39.46/25.92 (v90(constB85, bitIndex2)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11402, 11376])).
% 39.46/25.92 tff(11404,plain,
% 39.46/25.92 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB83)) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB83)) | v130(constB83, bitIndex1))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11405,plain,
% 39.46/25.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB83)) | v130(constB83, bitIndex1))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11406,plain,
% 39.46/25.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB83)) | v130(constB83, bitIndex1)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11405, 11404])).
% 39.46/25.92 tff(11407,plain,
% 39.46/25.92 (v130(constB83, bitIndex1)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11406, 2347, 11293])).
% 39.46/25.92 tff(11408,plain,
% 39.46/25.92 (((~![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))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11409,plain,
% 39.46/25.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11410,plain,
% 39.46/25.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11409, 11408])).
% 39.46/25.92 tff(11411,plain,
% 39.46/25.92 ((~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11410, 882, 11305])).
% 39.46/25.92 tff(11412,plain,
% 39.46/25.92 (v127(constB83, bitIndex1)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11411, 11407])).
% 39.46/25.92 tff(11413,plain,
% 39.46/25.92 (((~![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))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11414,plain,
% 39.46/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11415,plain,
% 39.46/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11414, 11413])).
% 39.46/25.92 tff(11416,plain,
% 39.46/25.92 ((~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11415, 897, 11320])).
% 39.46/25.92 tff(11417,plain,
% 39.46/25.92 (v129(constB84, bitIndex1)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11416, 11412])).
% 39.46/25.92 tff(11418,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11419,plain,
% 39.46/25.92 ((v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1))) <=> (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11420,plain,
% 39.46/25.92 (((~![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))))),
% 39.46/25.92 inference(monotonicity,[status(thm)],[11419])).
% 39.46/25.92 tff(11421,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(transitivity,[status(thm)],[11420, 11418])).
% 39.46/25.92 tff(11422,plain,
% 39.46/25.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11423,plain,
% 39.46/25.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11422, 11421])).
% 39.46/25.92 tff(11424,plain,
% 39.46/25.92 (v90(constB84, bitIndex1) | (~v100(constB84))),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11423, 912, 11417])).
% 39.46/25.92 tff(11425,plain,
% 39.46/25.92 (v90(constB84, bitIndex1)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11424, 11354])).
% 39.46/25.92 tff(11426,plain,
% 39.46/25.92 (((~![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))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11427,plain,
% 39.46/25.92 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)) <=> ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11428,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(monotonicity,[status(thm)],[11427])).
% 39.46/25.92 tff(11429,plain,
% 39.46/25.92 (((~![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))),
% 39.46/25.92 inference(transitivity,[status(thm)],[11428, 11426])).
% 39.46/25.92 tff(11430,plain,
% 39.46/25.92 ((~![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))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11431,plain,
% 39.46/25.92 ((~![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)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11430, 11429])).
% 39.46/25.92 tff(11432,plain,
% 39.46/25.92 ((~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11431, 1049, 11382])).
% 39.46/25.92 tff(11433,plain,
% 39.46/25.92 ((~v90(constB84, bitIndex1)) | v90(constB85, bitIndex1)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11432, 11394])).
% 39.46/25.92 tff(11434,plain,
% 39.46/25.92 (v90(constB85, bitIndex1)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11433, 11425])).
% 39.46/25.92 tff(11435,plain,
% 39.46/25.92 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB83)) | (~v130(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB83)) | (~v130(constB83, bitIndex0)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11436,plain,
% 39.46/25.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB83)) | (~v130(constB83, bitIndex0)))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11437,plain,
% 39.46/25.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB83)) | (~v130(constB83, bitIndex0))),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 39.46/25.92 tff(11438,plain,
% 39.46/25.92 (~v130(constB83, bitIndex0)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11437, 1519, 11293])).
% 39.46/25.92 tff(11439,plain,
% 39.46/25.92 (((~![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))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11440,plain,
% 39.46/25.92 ((v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0))) <=> ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11441,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(monotonicity,[status(thm)],[11440])).
% 39.46/25.92 tff(11442,plain,
% 39.46/25.92 (((~![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))),
% 39.46/25.92 inference(transitivity,[status(thm)],[11441, 11439])).
% 39.46/25.92 tff(11443,plain,
% 39.46/25.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11444,plain,
% 39.46/25.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11443, 11442])).
% 39.46/25.92 tff(11445,plain,
% 39.46/25.92 ((~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11444, 944, 11305])).
% 39.46/25.92 tff(11446,plain,
% 39.46/25.92 (~v127(constB83, bitIndex0)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11445, 11438])).
% 39.46/25.92 tff(11447,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11448,plain,
% 39.46/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11449,plain,
% 39.46/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11448, 11447])).
% 39.46/25.92 tff(11450,plain,
% 39.46/25.92 (v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11449, 962, 11320])).
% 39.46/25.92 tff(11451,plain,
% 39.46/25.92 (~v129(constB84, bitIndex0)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11450, 11446])).
% 39.46/25.92 tff(11452,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11453,plain,
% 39.46/25.92 (((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0)) <=> ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11454,plain,
% 39.46/25.92 (((~![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))))),
% 39.46/25.92 inference(monotonicity,[status(thm)],[11453])).
% 39.46/25.92 tff(11455,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(transitivity,[status(thm)],[11454, 11452])).
% 39.46/25.92 tff(11456,plain,
% 39.46/25.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11457,plain,
% 39.46/25.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11456, 11455])).
% 39.46/25.92 tff(11458,plain,
% 39.46/25.92 ((~v90(constB84, bitIndex0)) | (~v100(constB84))),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11457, 977, 11451])).
% 39.46/25.92 tff(11459,plain,
% 39.46/25.92 (~v90(constB84, bitIndex0)),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11458, 11354])).
% 39.46/25.92 tff(11460,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11461,plain,
% 39.46/25.92 (((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))) <=> (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 39.46/25.92 inference(rewrite,[status(thm)],[])).
% 39.46/25.92 tff(11462,plain,
% 39.46/25.92 (((~![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))))),
% 39.46/25.92 inference(monotonicity,[status(thm)],[11461])).
% 39.46/25.92 tff(11463,plain,
% 39.46/25.92 (((~![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)))),
% 39.46/25.92 inference(transitivity,[status(thm)],[11462, 11460])).
% 39.46/25.92 tff(11464,plain,
% 39.46/25.92 ((~![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)))),
% 39.46/25.92 inference(quant_inst,[status(thm)],[])).
% 39.46/25.92 tff(11465,plain,
% 39.46/25.92 ((~![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))),
% 39.46/25.92 inference(modus_ponens,[status(thm)],[11464, 11463])).
% 39.46/25.92 tff(11466,plain,
% 39.46/25.92 (v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11465, 207, 11382])).
% 39.46/25.92 tff(11467,plain,
% 39.46/25.92 (v90(constB84, bitIndex0) | (~v90(constB85, bitIndex0))),
% 39.46/25.92 inference(unit_resolution,[status(thm)],[11466, 11394])).
% 39.46/25.93 tff(11468,plain,
% 39.46/25.93 (~v90(constB85, bitIndex0)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11467, 11459])).
% 39.46/25.93 tff(11469,plain,
% 39.46/25.93 (((~![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))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11470,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11471,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11470, 11469])).
% 39.46/25.93 tff(11472,plain,
% 39.46/25.93 (v125(constB85)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11471, 1308, 11468, 11434, 11403])).
% 39.46/25.93 tff(11473,plain,
% 39.46/25.93 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11474,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11475,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11474, 11473])).
% 39.46/25.93 tff(11476,plain,
% 39.46/25.93 (v113(constB85)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11475, 1294, 11472])).
% 39.46/25.93 tff(11477,assumption,(v26(constB85)), introduced(assumption)).
% 39.46/25.93 tff(11478,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11479,plain,
% 39.46/25.93 ($false),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11478, 86, 11477])).
% 39.46/25.93 tff(11480,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 39.46/25.93 tff(11481,plain,
% 39.46/25.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11482,plain,
% 39.46/25.93 ((v26(constB85) | (~v113(constB85)) | v112(constB85)) <=> (v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11483,plain,
% 39.46/25.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85))))),
% 39.46/25.93 inference(monotonicity,[status(thm)],[11482])).
% 39.46/25.93 tff(11484,plain,
% 39.46/25.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 39.46/25.93 inference(transitivity,[status(thm)],[11483, 11481])).
% 39.46/25.93 tff(11485,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11486,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11485, 11484])).
% 39.46/25.93 tff(11487,plain,
% 39.46/25.93 (v112(constB85) | (~v113(constB85))),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11486, 308, 11480])).
% 39.46/25.93 tff(11488,plain,
% 39.46/25.93 (v112(constB85)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11487, 11476])).
% 39.46/25.93 tff(11489,plain,
% 39.46/25.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11490,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11491,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11490, 11489])).
% 39.46/25.93 tff(11492,plain,
% 39.46/25.93 (v108(constB85)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11491, 320, 11488])).
% 39.46/25.93 tff(11493,plain,
% 39.46/25.93 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11494,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 39.46/25.93 tff(11495,plain,
% 39.46/25.93 (nextState(constB85, constB86)),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11494, 11493])).
% 39.46/25.93 tff(11496,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11497,plain,
% 39.46/25.93 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11498,plain,
% 39.46/25.93 (((~![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))))),
% 39.46/25.93 inference(monotonicity,[status(thm)],[11497])).
% 39.46/25.93 tff(11499,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(transitivity,[status(thm)],[11498, 11496])).
% 39.46/25.93 tff(11500,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11501,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11500, 11499])).
% 39.46/25.93 tff(11502,plain,
% 39.46/25.93 (v110(constB86) | (~v108(constB85))),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11501, 337, 11495])).
% 39.46/25.93 tff(11503,plain,
% 39.46/25.93 (v110(constB86)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11502, 11492])).
% 39.46/25.93 tff(11504,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11505,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11506,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11505, 11504])).
% 39.46/25.93 tff(11507,plain,
% 39.46/25.93 (~v104(constB86)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11506, 355, 11495, 11379])).
% 39.46/25.93 tff(11508,plain,
% 39.46/25.93 (((~![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))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11509,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11510,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11509, 11508])).
% 39.46/25.93 tff(11511,plain,
% 39.46/25.93 (v102(constB86) | v104(constB86)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11510, 369, 11495])).
% 39.46/25.93 tff(11512,plain,
% 39.46/25.93 (v102(constB86)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11511, 11507])).
% 39.46/25.93 tff(11513,plain,
% 39.46/25.93 (v1(constB86) <=> v1(constB86)),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11514,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 39.46/25.93 tff(11515,plain,
% 39.46/25.93 (v1(constB86)),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11514, 11513])).
% 39.46/25.93 tff(11516,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11517,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11518,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11517, 11516])).
% 39.46/25.93 tff(11519,plain,
% 39.46/25.93 (v101(constB86) | (~v102(constB86))),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11518, 387, 11495, 11515])).
% 39.46/25.93 tff(11520,plain,
% 39.46/25.93 (v101(constB86)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11519, 11512])).
% 39.46/25.93 tff(11521,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11522,plain,
% 39.46/25.93 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11523,plain,
% 39.46/25.93 (((~![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))))),
% 39.46/25.93 inference(monotonicity,[status(thm)],[11522])).
% 39.46/25.93 tff(11524,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(transitivity,[status(thm)],[11523, 11521])).
% 39.46/25.93 tff(11525,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11526,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11525, 11524])).
% 39.46/25.93 tff(11527,plain,
% 39.46/25.93 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11526, 402, 11495])).
% 39.46/25.93 tff(11528,plain,
% 39.46/25.93 (v100(constB86) | (~v110(constB86))),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11527, 11520])).
% 39.46/25.93 tff(11529,plain,
% 39.46/25.93 (v100(constB86)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11528, 11503])).
% 39.46/25.93 tff(11530,plain,
% 39.46/25.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v124(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v124(constB85)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11531,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v124(constB85)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11532,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v124(constB85))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11531, 11530])).
% 39.46/25.93 tff(11533,plain,
% 39.46/25.93 (~v124(constB85)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11532, 2637, 11434])).
% 39.46/25.93 tff(11534,plain,
% 39.46/25.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11535,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11536,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11535, 11534])).
% 39.46/25.93 tff(11537,plain,
% 39.46/25.93 (~v123(constB85)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11536, 2626, 11434])).
% 39.46/25.93 tff(11538,plain,
% 39.46/25.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v122(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v122(constB85)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11539,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v122(constB85)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11540,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v122(constB85))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11539, 11538])).
% 39.46/25.93 tff(11541,plain,
% 39.46/25.93 (~v122(constB85)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11540, 3526, 11403])).
% 39.46/25.93 tff(11542,plain,
% 39.46/25.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11543,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11544,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11543, 11542])).
% 39.46/25.93 tff(11545,plain,
% 39.46/25.93 (~v121(constB85)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11544, 2586, 11403])).
% 39.46/25.93 tff(11546,plain,
% 39.46/25.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v120(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v120(constB85)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11547,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v120(constB85)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11548,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v120(constB85))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11547, 11546])).
% 39.46/25.93 tff(11549,plain,
% 39.46/25.93 (~v120(constB85)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11548, 2615, 11434])).
% 39.46/25.93 tff(11550,plain,
% 39.46/25.93 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11551,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11552,plain,
% 39.46/25.93 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11551, 11550])).
% 39.46/25.93 tff(11553,plain,
% 39.46/25.93 (~v119(constB85)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11552, 2604, 11434])).
% 39.46/25.93 tff(11554,plain,
% 39.46/25.93 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11555,plain,
% 39.46/25.93 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2))) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11556,plain,
% 39.46/25.93 (((~![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)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2))))),
% 39.46/25.93 inference(monotonicity,[status(thm)],[11555])).
% 39.46/25.93 tff(11557,plain,
% 39.46/25.93 (((~![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)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2)))),
% 39.46/25.93 inference(transitivity,[status(thm)],[11556, 11554])).
% 39.46/25.93 tff(11558,plain,
% 39.46/25.93 ((~![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)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11559,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex2))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11558, 11557])).
% 39.46/25.93 tff(11560,plain,
% 39.46/25.93 (~v130(constB85, bitIndex2)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11559, 1993, 11553, 11549, 11545, 11541, 11537, 11533])).
% 39.46/25.93 tff(11561,plain,
% 39.46/25.93 (((~![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))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11562,plain,
% 39.46/25.93 ((v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2))) <=> ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11563,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(monotonicity,[status(thm)],[11562])).
% 39.46/25.93 tff(11564,plain,
% 39.46/25.93 (((~![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))),
% 39.46/25.93 inference(transitivity,[status(thm)],[11563, 11561])).
% 39.46/25.93 tff(11565,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11566,plain,
% 39.46/25.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11565, 11564])).
% 39.46/25.93 tff(11567,plain,
% 39.46/25.93 ((~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11566, 435, 11480])).
% 39.46/25.93 tff(11568,plain,
% 39.46/25.93 (~v127(constB85, bitIndex2)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11567, 11560])).
% 39.46/25.93 tff(11569,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11570,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11571,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11570, 11569])).
% 39.46/25.93 tff(11572,plain,
% 39.46/25.93 (v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11571, 453, 11495])).
% 39.46/25.93 tff(11573,plain,
% 39.46/25.93 (~v129(constB86, bitIndex2)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11572, 11568])).
% 39.46/25.93 tff(11574,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11575,plain,
% 39.46/25.93 (((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2)) <=> ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11576,plain,
% 39.46/25.93 (((~![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))))),
% 39.46/25.93 inference(monotonicity,[status(thm)],[11575])).
% 39.46/25.93 tff(11577,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(transitivity,[status(thm)],[11576, 11574])).
% 39.46/25.93 tff(11578,plain,
% 39.46/25.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11579,plain,
% 39.46/25.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11578, 11577])).
% 39.46/25.93 tff(11580,plain,
% 39.46/25.93 ((~v90(constB86, bitIndex2)) | (~v100(constB86))),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11579, 468, 11573])).
% 39.46/25.93 tff(11581,plain,
% 39.46/25.93 (~v90(constB86, bitIndex2)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11580, 11529])).
% 39.46/25.93 tff(11582,plain,
% 39.46/25.93 ((~v1(constB87)) <=> (~v1(constB87))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11583,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 39.46/25.93 tff(11584,plain,
% 39.46/25.93 (~v1(constB87)),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 39.46/25.93 tff(11585,plain,
% 39.46/25.93 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11586,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 39.46/25.93 tff(11587,plain,
% 39.46/25.93 (nextState(constB86, constB87)),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11586, 11585])).
% 39.46/25.93 tff(11588,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11589,plain,
% 39.46/25.93 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11590,plain,
% 39.46/25.93 (((~![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))))),
% 39.46/25.93 inference(monotonicity,[status(thm)],[11589])).
% 39.46/25.93 tff(11591,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(transitivity,[status(thm)],[11590, 11588])).
% 39.46/25.93 tff(11592,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11593,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11592, 11591])).
% 39.46/25.93 tff(11594,plain,
% 39.46/25.93 (~v101(constB87)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11593, 133, 11587, 11584])).
% 39.46/25.93 tff(11595,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11596,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11597,plain,
% 39.46/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11596, 11595])).
% 39.46/25.93 tff(11598,plain,
% 39.46/25.93 (v101(constB87) | (~v100(constB87))),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11597, 150, 11587])).
% 39.46/25.93 tff(11599,plain,
% 39.46/25.93 (~v100(constB87)),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11598, 11594])).
% 39.46/25.93 tff(11600,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11601,plain,
% 39.46/25.93 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))) <=> (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 39.46/25.93 inference(rewrite,[status(thm)],[])).
% 39.46/25.93 tff(11602,plain,
% 39.46/25.93 (((~![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))))),
% 39.46/25.93 inference(monotonicity,[status(thm)],[11601])).
% 39.46/25.93 tff(11603,plain,
% 39.46/25.93 (((~![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)))),
% 39.46/25.93 inference(transitivity,[status(thm)],[11602, 11600])).
% 39.46/25.93 tff(11604,plain,
% 39.46/25.93 ((~![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)))),
% 39.46/25.93 inference(quant_inst,[status(thm)],[])).
% 39.46/25.93 tff(11605,plain,
% 39.46/25.93 ((~![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))),
% 39.46/25.93 inference(modus_ponens,[status(thm)],[11604, 11603])).
% 39.46/25.93 tff(11606,plain,
% 39.46/25.93 (v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11605, 165, 11587])).
% 39.46/25.93 tff(11607,plain,
% 39.46/25.93 (v90(constB86, bitIndex2) | (~v90(constB87, bitIndex2))),
% 39.46/25.93 inference(unit_resolution,[status(thm)],[11606, 11599])).
% 39.46/25.93 tff(11608,plain,
% 39.46/25.93 (~v90(constB87, bitIndex2)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11607, 11581])).
% 39.46/25.94 tff(11609,plain,
% 39.46/25.94 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11610,plain,
% 39.46/25.94 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1))) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11611,plain,
% 39.46/25.94 (((~![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)))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1))))),
% 39.46/25.94 inference(monotonicity,[status(thm)],[11610])).
% 39.46/25.94 tff(11612,plain,
% 39.46/25.94 (((~![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)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1)))),
% 39.46/25.94 inference(transitivity,[status(thm)],[11611, 11609])).
% 39.46/25.94 tff(11613,plain,
% 39.46/25.94 ((~![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)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11614,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~v130(constB85, bitIndex1))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11613, 11612])).
% 39.46/25.94 tff(11615,plain,
% 39.46/25.94 (~v130(constB85, bitIndex1)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11614, 1562, 11553, 11549, 11545, 11541, 11537, 11533])).
% 39.46/25.94 tff(11616,plain,
% 39.46/25.94 (((~![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))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11617,plain,
% 39.46/25.94 ((v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1))) <=> ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11618,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(monotonicity,[status(thm)],[11617])).
% 39.46/25.94 tff(11619,plain,
% 39.46/25.94 (((~![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))),
% 39.46/25.94 inference(transitivity,[status(thm)],[11618, 11616])).
% 39.46/25.94 tff(11620,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11621,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11620, 11619])).
% 39.46/25.94 tff(11622,plain,
% 39.46/25.94 ((~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11621, 527, 11480])).
% 39.46/25.94 tff(11623,plain,
% 39.46/25.94 (~v127(constB85, bitIndex1)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11622, 11615])).
% 39.46/25.94 tff(11624,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11625,plain,
% 39.46/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11626,plain,
% 39.46/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11625, 11624])).
% 39.46/25.94 tff(11627,plain,
% 39.46/25.94 (v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11626, 545, 11495])).
% 39.46/25.94 tff(11628,plain,
% 39.46/25.94 (~v129(constB86, bitIndex1)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11627, 11623])).
% 39.46/25.94 tff(11629,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11630,plain,
% 39.46/25.94 (((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1)) <=> ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11631,plain,
% 39.46/25.94 (((~![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))))),
% 39.46/25.94 inference(monotonicity,[status(thm)],[11630])).
% 39.46/25.94 tff(11632,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(transitivity,[status(thm)],[11631, 11629])).
% 39.46/25.94 tff(11633,plain,
% 39.46/25.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11634,plain,
% 39.46/25.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11633, 11632])).
% 39.46/25.94 tff(11635,plain,
% 39.46/25.94 ((~v90(constB86, bitIndex1)) | (~v100(constB86))),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11634, 560, 11628])).
% 39.46/25.94 tff(11636,plain,
% 39.46/25.94 (~v90(constB86, bitIndex1)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11635, 11529])).
% 39.46/25.94 tff(11637,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11638,plain,
% 39.46/25.94 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))) <=> (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11639,plain,
% 39.46/25.94 (((~![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))))),
% 39.46/25.94 inference(monotonicity,[status(thm)],[11638])).
% 39.46/25.94 tff(11640,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(transitivity,[status(thm)],[11639, 11637])).
% 39.46/25.94 tff(11641,plain,
% 39.46/25.94 ((~![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)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11642,plain,
% 39.46/25.94 ((~![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))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11641, 11640])).
% 39.46/25.94 tff(11643,plain,
% 39.46/25.94 (v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11642, 186, 11587])).
% 39.46/25.94 tff(11644,plain,
% 39.46/25.94 (v90(constB86, bitIndex1) | (~v90(constB87, bitIndex1))),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11643, 11599])).
% 39.46/25.94 tff(11645,plain,
% 39.46/25.94 (~v90(constB87, bitIndex1)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11644, 11636])).
% 39.46/25.94 tff(11646,plain,
% 39.46/25.94 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11647,plain,
% 39.46/25.94 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0)) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11648,plain,
% 39.46/25.94 (((~![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))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0)))),
% 39.46/25.94 inference(monotonicity,[status(thm)],[11647])).
% 39.46/25.94 tff(11649,plain,
% 39.46/25.94 (((~![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))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0))),
% 39.46/25.94 inference(transitivity,[status(thm)],[11648, 11646])).
% 39.46/25.94 tff(11650,plain,
% 39.46/25.94 ((~![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))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11651,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | v130(constB85, bitIndex0)),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11650, 11649])).
% 39.46/25.94 tff(11652,plain,
% 39.46/25.94 (v130(constB85, bitIndex0)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11651, 2753, 11553, 11549, 11545, 11541, 11537, 11533])).
% 39.46/25.94 tff(11653,plain,
% 39.46/25.94 (((~![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))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11654,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11655,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11654, 11653])).
% 39.46/25.94 tff(11656,plain,
% 39.46/25.94 ((~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11655, 601, 11480])).
% 39.46/25.94 tff(11657,plain,
% 39.46/25.94 (v127(constB85, bitIndex0)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11656, 11652])).
% 39.46/25.94 tff(11658,plain,
% 39.46/25.94 (((~![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))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11659,plain,
% 39.46/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11660,plain,
% 39.46/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11659, 11658])).
% 39.46/25.94 tff(11661,plain,
% 39.46/25.94 ((~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11660, 616, 11495])).
% 39.46/25.94 tff(11662,plain,
% 39.46/25.94 (v129(constB86, bitIndex0)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11661, 11657])).
% 39.46/25.94 tff(11663,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11664,plain,
% 39.46/25.94 ((v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0))) <=> (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11665,plain,
% 39.46/25.94 (((~![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))))),
% 39.46/25.94 inference(monotonicity,[status(thm)],[11664])).
% 39.46/25.94 tff(11666,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(transitivity,[status(thm)],[11665, 11663])).
% 39.46/25.94 tff(11667,plain,
% 39.46/25.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11668,plain,
% 39.46/25.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11667, 11666])).
% 39.46/25.94 tff(11669,plain,
% 39.46/25.94 (v90(constB86, bitIndex0) | (~v100(constB86))),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11668, 631, 11662])).
% 39.46/25.94 tff(11670,plain,
% 39.46/25.94 (v90(constB86, bitIndex0)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11669, 11529])).
% 39.46/25.94 tff(11671,plain,
% 39.46/25.94 (((~![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))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11672,plain,
% 39.46/25.94 (((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)) <=> ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11673,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(monotonicity,[status(thm)],[11672])).
% 39.46/25.94 tff(11674,plain,
% 39.46/25.94 (((~![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))),
% 39.46/25.94 inference(transitivity,[status(thm)],[11673, 11671])).
% 39.46/25.94 tff(11675,plain,
% 39.46/25.94 ((~![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))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11676,plain,
% 39.46/25.94 ((~![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)),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11675, 11674])).
% 39.46/25.94 tff(11677,plain,
% 39.46/25.94 ((~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11676, 649, 11587])).
% 39.46/25.94 tff(11678,plain,
% 39.46/25.94 ((~v90(constB86, bitIndex0)) | v90(constB87, bitIndex0)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11677, 11599])).
% 39.46/25.94 tff(11679,plain,
% 39.46/25.94 (v90(constB87, bitIndex0)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11678, 11670])).
% 39.46/25.94 tff(11680,plain,
% 39.46/25.94 (((~![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))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11681,plain,
% 39.46/25.94 (((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)) <=> ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11682,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(monotonicity,[status(thm)],[11681])).
% 39.46/25.94 tff(11683,plain,
% 39.46/25.94 (((~![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))),
% 39.46/25.94 inference(transitivity,[status(thm)],[11682, 11680])).
% 39.46/25.94 tff(11684,plain,
% 39.46/25.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11685,plain,
% 39.46/25.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11684, 11683])).
% 39.46/25.94 tff(11686,plain,
% 39.46/25.94 (v120(constB87)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11685, 668, 11679, 11645, 11608])).
% 39.46/25.94 tff(11687,plain,
% 39.46/25.94 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11688,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11689,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11688, 11687])).
% 39.46/25.94 tff(11690,plain,
% 39.46/25.94 (v118(constB87)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11689, 778, 11686])).
% 39.46/25.94 tff(11691,plain,
% 39.46/25.94 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11692,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11693,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11692, 11691])).
% 39.46/25.94 tff(11694,plain,
% 39.46/25.94 (v117(constB87)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11693, 250, 11690])).
% 39.46/25.94 tff(11695,plain,
% 39.46/25.94 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11696,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11697,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11696, 11695])).
% 39.46/25.94 tff(11698,plain,
% 39.46/25.94 (v116(constB87)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11697, 261, 11694])).
% 39.46/25.94 tff(11699,plain,
% 39.46/25.94 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11700,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11701,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11700, 11699])).
% 39.46/25.94 tff(11702,plain,
% 39.46/25.94 (v115(constB87)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11701, 272, 11698])).
% 39.46/25.94 tff(11703,plain,
% 39.46/25.94 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11704,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11705,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 39.46/25.94 tff(11706,plain,
% 39.46/25.94 (v114(constB87)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11705, 283, 11702])).
% 39.46/25.94 tff(11707,plain,
% 39.46/25.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11708,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11709,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11708, 11707])).
% 39.46/25.94 tff(11710,plain,
% 39.46/25.94 (v113(constB87)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11709, 294, 11706])).
% 39.46/25.94 tff(11711,assumption,(v26(constB87)), introduced(assumption)).
% 39.46/25.94 tff(11712,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11713,plain,
% 39.46/25.94 ($false),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11712, 86, 11711])).
% 39.46/25.94 tff(11714,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 39.46/25.94 tff(11715,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11716,plain,
% 39.46/25.94 ((v26(constB87) | (~v113(constB87)) | v112(constB87)) <=> (v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11717,plain,
% 39.46/25.94 (((~![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))))),
% 39.46/25.94 inference(monotonicity,[status(thm)],[11716])).
% 39.46/25.94 tff(11718,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(transitivity,[status(thm)],[11717, 11715])).
% 39.46/25.94 tff(11719,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11720,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11719, 11718])).
% 39.46/25.94 tff(11721,plain,
% 39.46/25.94 (v112(constB87) | (~v113(constB87))),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11720, 308, 11714])).
% 39.46/25.94 tff(11722,plain,
% 39.46/25.94 (v112(constB87)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11721, 11710])).
% 39.46/25.94 tff(11723,plain,
% 39.46/25.94 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11724,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))),
% 39.46/25.94 inference(quant_inst,[status(thm)],[])).
% 39.46/25.94 tff(11725,plain,
% 39.46/25.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87))),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11724, 11723])).
% 39.46/25.94 tff(11726,plain,
% 39.46/25.94 (v108(constB87)),
% 39.46/25.94 inference(unit_resolution,[status(thm)],[11725, 320, 11722])).
% 39.46/25.94 tff(11727,plain,
% 39.46/25.94 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11728,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 39.46/25.94 tff(11729,plain,
% 39.46/25.94 (nextState(constB87, constB88)),
% 39.46/25.94 inference(modus_ponens,[status(thm)],[11728, 11727])).
% 39.46/25.94 tff(11730,plain,
% 39.46/25.94 (((~![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)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11731,plain,
% 39.46/25.94 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 39.46/25.94 inference(rewrite,[status(thm)],[])).
% 39.46/25.94 tff(11732,plain,
% 39.46/25.94 (((~![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))))),
% 39.46/25.95 inference(monotonicity,[status(thm)],[11731])).
% 39.46/25.95 tff(11733,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(transitivity,[status(thm)],[11732, 11730])).
% 39.46/25.95 tff(11734,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11735,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11734, 11733])).
% 39.46/25.95 tff(11736,plain,
% 39.46/25.95 (v110(constB88) | (~v108(constB87))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11735, 337, 11729])).
% 39.46/25.95 tff(11737,plain,
% 39.46/25.95 (v110(constB88)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11736, 11726])).
% 39.46/25.95 tff(11738,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11739,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11740,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11739, 11738])).
% 39.46/25.95 tff(11741,plain,
% 39.46/25.95 (~v104(constB88)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11740, 355, 11729, 11584])).
% 39.46/25.95 tff(11742,plain,
% 39.46/25.95 (((~![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))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11743,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11744,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11743, 11742])).
% 39.46/25.95 tff(11745,plain,
% 39.46/25.95 (v102(constB88) | v104(constB88)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11744, 369, 11729])).
% 39.46/25.95 tff(11746,plain,
% 39.46/25.95 (v102(constB88)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11745, 11741])).
% 39.46/25.95 tff(11747,plain,
% 39.46/25.95 (v1(constB88) <=> v1(constB88)),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11748,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 39.46/25.95 tff(11749,plain,
% 39.46/25.95 (v1(constB88)),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11748, 11747])).
% 39.46/25.95 tff(11750,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11751,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11752,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11751, 11750])).
% 39.46/25.95 tff(11753,plain,
% 39.46/25.95 (v101(constB88) | (~v102(constB88))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11752, 387, 11729, 11749])).
% 39.46/25.95 tff(11754,plain,
% 39.46/25.95 (v101(constB88)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11753, 11746])).
% 39.46/25.95 tff(11755,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11756,plain,
% 39.46/25.95 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11757,plain,
% 39.46/25.95 (((~![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))))),
% 39.46/25.95 inference(monotonicity,[status(thm)],[11756])).
% 39.46/25.95 tff(11758,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(transitivity,[status(thm)],[11757, 11755])).
% 39.46/25.95 tff(11759,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11760,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11759, 11758])).
% 39.46/25.95 tff(11761,plain,
% 39.46/25.95 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11760, 402, 11729])).
% 39.46/25.95 tff(11762,plain,
% 39.46/25.95 (v100(constB88) | (~v110(constB88))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11761, 11754])).
% 39.46/25.95 tff(11763,plain,
% 39.46/25.95 (v100(constB88)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11762, 11737])).
% 39.46/25.95 tff(11764,plain,
% 39.46/25.95 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11765,plain,
% 39.46/25.95 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11766,plain,
% 39.46/25.95 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 39.46/25.95 tff(11767,plain,
% 39.46/25.95 (~v130(constB87, bitIndex2)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11766, 685, 11686])).
% 39.46/25.95 tff(11768,plain,
% 39.46/25.95 (((~![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))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11769,plain,
% 39.46/25.95 ((v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2))) <=> ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11770,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(monotonicity,[status(thm)],[11769])).
% 39.46/25.95 tff(11771,plain,
% 39.46/25.95 (((~![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))),
% 39.46/25.95 inference(transitivity,[status(thm)],[11770, 11768])).
% 39.46/25.95 tff(11772,plain,
% 39.46/25.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11773,plain,
% 39.46/25.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11772, 11771])).
% 39.46/25.95 tff(11774,plain,
% 39.46/25.95 ((~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11773, 435, 11714])).
% 39.46/25.95 tff(11775,plain,
% 39.46/25.95 (~v127(constB87, bitIndex2)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11774, 11767])).
% 39.46/25.95 tff(11776,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11777,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11778,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11777, 11776])).
% 39.46/25.95 tff(11779,plain,
% 39.46/25.95 (v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11778, 453, 11729])).
% 39.46/25.95 tff(11780,plain,
% 39.46/25.95 (~v129(constB88, bitIndex2)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11779, 11775])).
% 39.46/25.95 tff(11781,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11782,plain,
% 39.46/25.95 (((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2)) <=> ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11783,plain,
% 39.46/25.95 (((~![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))))),
% 39.46/25.95 inference(monotonicity,[status(thm)],[11782])).
% 39.46/25.95 tff(11784,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(transitivity,[status(thm)],[11783, 11781])).
% 39.46/25.95 tff(11785,plain,
% 39.46/25.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11786,plain,
% 39.46/25.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11785, 11784])).
% 39.46/25.95 tff(11787,plain,
% 39.46/25.95 ((~v90(constB88, bitIndex2)) | (~v100(constB88))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11786, 468, 11780])).
% 39.46/25.95 tff(11788,plain,
% 39.46/25.95 (~v90(constB88, bitIndex2)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11787, 11763])).
% 39.46/25.95 tff(11789,plain,
% 39.46/25.95 ((~v1(constB89)) <=> (~v1(constB89))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11790,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 39.46/25.95 tff(11791,plain,
% 39.46/25.95 (~v1(constB89)),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11790, 11789])).
% 39.46/25.95 tff(11792,plain,
% 39.46/25.95 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11793,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 39.46/25.95 tff(11794,plain,
% 39.46/25.95 (nextState(constB88, constB89)),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 39.46/25.95 tff(11795,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11796,plain,
% 39.46/25.95 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11797,plain,
% 39.46/25.95 (((~![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))))),
% 39.46/25.95 inference(monotonicity,[status(thm)],[11796])).
% 39.46/25.95 tff(11798,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(transitivity,[status(thm)],[11797, 11795])).
% 39.46/25.95 tff(11799,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11800,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 39.46/25.95 tff(11801,plain,
% 39.46/25.95 (~v101(constB89)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11800, 133, 11794, 11791])).
% 39.46/25.95 tff(11802,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11803,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11804,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11803, 11802])).
% 39.46/25.95 tff(11805,plain,
% 39.46/25.95 (v101(constB89) | (~v100(constB89))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11804, 150, 11794])).
% 39.46/25.95 tff(11806,plain,
% 39.46/25.95 (~v100(constB89)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11805, 11801])).
% 39.46/25.95 tff(11807,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11808,plain,
% 39.46/25.95 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11809,plain,
% 39.46/25.95 (((~![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))))),
% 39.46/25.95 inference(monotonicity,[status(thm)],[11808])).
% 39.46/25.95 tff(11810,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(transitivity,[status(thm)],[11809, 11807])).
% 39.46/25.95 tff(11811,plain,
% 39.46/25.95 ((~![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)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11812,plain,
% 39.46/25.95 ((~![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))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11811, 11810])).
% 39.46/25.95 tff(11813,plain,
% 39.46/25.95 (v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11812, 165, 11794])).
% 39.46/25.95 tff(11814,plain,
% 39.46/25.95 (v90(constB88, bitIndex2) | (~v90(constB89, bitIndex2))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11813, 11806])).
% 39.46/25.95 tff(11815,plain,
% 39.46/25.95 (~v90(constB89, bitIndex2)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11814, 11788])).
% 39.46/25.95 tff(11816,plain,
% 39.46/25.95 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11817,plain,
% 39.46/25.95 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11818,plain,
% 39.46/25.95 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1)),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11817, 11816])).
% 39.46/25.95 tff(11819,plain,
% 39.46/25.95 (v130(constB87, bitIndex1)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11818, 868, 11686])).
% 39.46/25.95 tff(11820,plain,
% 39.46/25.95 (((~![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))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11821,plain,
% 39.46/25.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11822,plain,
% 39.46/25.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11821, 11820])).
% 39.46/25.95 tff(11823,plain,
% 39.46/25.95 ((~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11822, 882, 11714])).
% 39.46/25.95 tff(11824,plain,
% 39.46/25.95 (v127(constB87, bitIndex1)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11823, 11819])).
% 39.46/25.95 tff(11825,plain,
% 39.46/25.95 (((~![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))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11826,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11827,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11826, 11825])).
% 39.46/25.95 tff(11828,plain,
% 39.46/25.95 ((~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11827, 897, 11729])).
% 39.46/25.95 tff(11829,plain,
% 39.46/25.95 (v129(constB88, bitIndex1)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11828, 11824])).
% 39.46/25.95 tff(11830,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11831,plain,
% 39.46/25.95 ((v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1))) <=> (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11832,plain,
% 39.46/25.95 (((~![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))))),
% 39.46/25.95 inference(monotonicity,[status(thm)],[11831])).
% 39.46/25.95 tff(11833,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(transitivity,[status(thm)],[11832, 11830])).
% 39.46/25.95 tff(11834,plain,
% 39.46/25.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11835,plain,
% 39.46/25.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11834, 11833])).
% 39.46/25.95 tff(11836,plain,
% 39.46/25.95 (v90(constB88, bitIndex1) | (~v100(constB88))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11835, 912, 11829])).
% 39.46/25.95 tff(11837,plain,
% 39.46/25.95 (v90(constB88, bitIndex1)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11836, 11763])).
% 39.46/25.95 tff(11838,plain,
% 39.46/25.95 (((~![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))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11839,plain,
% 39.46/25.95 (((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)) <=> ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11840,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(monotonicity,[status(thm)],[11839])).
% 39.46/25.95 tff(11841,plain,
% 39.46/25.95 (((~![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))),
% 39.46/25.95 inference(transitivity,[status(thm)],[11840, 11838])).
% 39.46/25.95 tff(11842,plain,
% 39.46/25.95 ((~![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))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11843,plain,
% 39.46/25.95 ((~![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)),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 39.46/25.95 tff(11844,plain,
% 39.46/25.95 ((~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11843, 1049, 11794])).
% 39.46/25.95 tff(11845,plain,
% 39.46/25.95 ((~v90(constB88, bitIndex1)) | v90(constB89, bitIndex1)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11844, 11806])).
% 39.46/25.95 tff(11846,plain,
% 39.46/25.95 (v90(constB89, bitIndex1)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11845, 11837])).
% 39.46/25.95 tff(11847,plain,
% 39.46/25.95 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11848,plain,
% 39.46/25.95 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11849,plain,
% 39.46/25.95 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11848, 11847])).
% 39.46/25.95 tff(11850,plain,
% 39.46/25.95 (~v130(constB87, bitIndex0)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11849, 930, 11686])).
% 39.46/25.95 tff(11851,plain,
% 39.46/25.95 (((~![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))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11852,plain,
% 39.46/25.95 ((v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0))) <=> ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11853,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(monotonicity,[status(thm)],[11852])).
% 39.46/25.95 tff(11854,plain,
% 39.46/25.95 (((~![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))),
% 39.46/25.95 inference(transitivity,[status(thm)],[11853, 11851])).
% 39.46/25.95 tff(11855,plain,
% 39.46/25.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11856,plain,
% 39.46/25.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11855, 11854])).
% 39.46/25.95 tff(11857,plain,
% 39.46/25.95 ((~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11856, 944, 11714])).
% 39.46/25.95 tff(11858,plain,
% 39.46/25.95 (~v127(constB87, bitIndex0)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11857, 11850])).
% 39.46/25.95 tff(11859,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.95 inference(rewrite,[status(thm)],[])).
% 39.46/25.95 tff(11860,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 39.46/25.95 inference(quant_inst,[status(thm)],[])).
% 39.46/25.95 tff(11861,plain,
% 39.46/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 39.46/25.95 inference(modus_ponens,[status(thm)],[11860, 11859])).
% 39.46/25.95 tff(11862,plain,
% 39.46/25.95 (v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11861, 962, 11729])).
% 39.46/25.95 tff(11863,plain,
% 39.46/25.95 (~v129(constB88, bitIndex0)),
% 39.46/25.95 inference(unit_resolution,[status(thm)],[11862, 11858])).
% 39.46/25.95 tff(11864,plain,
% 39.46/25.95 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11865,plain,
% 39.46/25.96 (((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0)) <=> ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11866,plain,
% 39.46/25.96 (((~![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))))),
% 39.46/25.96 inference(monotonicity,[status(thm)],[11865])).
% 39.46/25.96 tff(11867,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(transitivity,[status(thm)],[11866, 11864])).
% 39.46/25.96 tff(11868,plain,
% 39.46/25.96 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11869,plain,
% 39.46/25.96 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11868, 11867])).
% 39.46/25.96 tff(11870,plain,
% 39.46/25.96 ((~v90(constB88, bitIndex0)) | (~v100(constB88))),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11869, 977, 11863])).
% 39.46/25.96 tff(11871,plain,
% 39.46/25.96 (~v90(constB88, bitIndex0)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11870, 11763])).
% 39.46/25.96 tff(11872,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11873,plain,
% 39.46/25.96 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))) <=> (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11874,plain,
% 39.46/25.96 (((~![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))))),
% 39.46/25.96 inference(monotonicity,[status(thm)],[11873])).
% 39.46/25.96 tff(11875,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(transitivity,[status(thm)],[11874, 11872])).
% 39.46/25.96 tff(11876,plain,
% 39.46/25.96 ((~![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)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11877,plain,
% 39.46/25.96 ((~![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))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11876, 11875])).
% 39.46/25.96 tff(11878,plain,
% 39.46/25.96 (v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11877, 207, 11794])).
% 39.46/25.96 tff(11879,plain,
% 39.46/25.96 (v90(constB88, bitIndex0) | (~v90(constB89, bitIndex0))),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11878, 11806])).
% 39.46/25.96 tff(11880,plain,
% 39.46/25.96 (~v90(constB89, bitIndex0)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11879, 11871])).
% 39.46/25.96 tff(11881,plain,
% 39.46/25.96 (((~![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))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11882,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11883,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89)),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11882, 11881])).
% 39.46/25.96 tff(11884,plain,
% 39.46/25.96 (v121(constB89)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11883, 996, 11880, 11846, 11815])).
% 39.46/25.96 tff(11885,plain,
% 39.46/25.96 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11886,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11887,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11886, 11885])).
% 39.46/25.96 tff(11888,plain,
% 39.46/25.96 (v117(constB89)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11887, 1130, 11884])).
% 39.46/25.96 tff(11889,plain,
% 39.46/25.96 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11890,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11891,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11890, 11889])).
% 39.46/25.96 tff(11892,plain,
% 39.46/25.96 (v116(constB89)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11891, 261, 11888])).
% 39.46/25.96 tff(11893,plain,
% 39.46/25.96 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11894,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11895,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11894, 11893])).
% 39.46/25.96 tff(11896,plain,
% 39.46/25.96 (v115(constB89)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11895, 272, 11892])).
% 39.46/25.96 tff(11897,plain,
% 39.46/25.96 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11898,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11899,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 39.46/25.96 tff(11900,plain,
% 39.46/25.96 (v114(constB89)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11899, 283, 11896])).
% 39.46/25.96 tff(11901,plain,
% 39.46/25.96 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11902,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11903,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11902, 11901])).
% 39.46/25.96 tff(11904,plain,
% 39.46/25.96 (v113(constB89)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11903, 294, 11900])).
% 39.46/25.96 tff(11905,assumption,(v26(constB89)), introduced(assumption)).
% 39.46/25.96 tff(11906,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11907,plain,
% 39.46/25.96 ($false),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11906, 86, 11905])).
% 39.46/25.96 tff(11908,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 39.46/25.96 tff(11909,plain,
% 39.46/25.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11910,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11911,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | (~v113(constB89)) | v112(constB89)),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 39.46/25.96 tff(11912,plain,
% 39.46/25.96 ((~v113(constB89)) | v112(constB89)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11911, 308, 11908])).
% 39.46/25.96 tff(11913,plain,
% 39.46/25.96 (v112(constB89)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11912, 11904])).
% 39.46/25.96 tff(11914,plain,
% 39.46/25.96 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11915,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11916,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11915, 11914])).
% 39.46/25.96 tff(11917,plain,
% 39.46/25.96 (v108(constB89)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11916, 320, 11913])).
% 39.46/25.96 tff(11918,plain,
% 39.46/25.96 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11919,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 39.46/25.96 tff(11920,plain,
% 39.46/25.96 (nextState(constB89, constB90)),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11919, 11918])).
% 39.46/25.96 tff(11921,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11922,plain,
% 39.46/25.96 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11923,plain,
% 39.46/25.96 (((~![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))))),
% 39.46/25.96 inference(monotonicity,[status(thm)],[11922])).
% 39.46/25.96 tff(11924,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(transitivity,[status(thm)],[11923, 11921])).
% 39.46/25.96 tff(11925,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11926,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11925, 11924])).
% 39.46/25.96 tff(11927,plain,
% 39.46/25.96 (v110(constB90) | (~v108(constB89))),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11926, 337, 11920])).
% 39.46/25.96 tff(11928,plain,
% 39.46/25.96 (v110(constB90)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11927, 11917])).
% 39.46/25.96 tff(11929,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11930,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11931,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11930, 11929])).
% 39.46/25.96 tff(11932,plain,
% 39.46/25.96 (~v104(constB90)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11931, 355, 11920, 11791])).
% 39.46/25.96 tff(11933,plain,
% 39.46/25.96 (((~![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))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11934,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11935,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11934, 11933])).
% 39.46/25.96 tff(11936,plain,
% 39.46/25.96 (v102(constB90) | v104(constB90)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11935, 369, 11920])).
% 39.46/25.96 tff(11937,plain,
% 39.46/25.96 (v102(constB90)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11936, 11932])).
% 39.46/25.96 tff(11938,plain,
% 39.46/25.96 (v1(constB90) <=> v1(constB90)),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11939,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 39.46/25.96 tff(11940,plain,
% 39.46/25.96 (v1(constB90)),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11939, 11938])).
% 39.46/25.96 tff(11941,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11942,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11943,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11942, 11941])).
% 39.46/25.96 tff(11944,plain,
% 39.46/25.96 (v101(constB90) | (~v102(constB90))),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11943, 387, 11920, 11940])).
% 39.46/25.96 tff(11945,plain,
% 39.46/25.96 (v101(constB90)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11944, 11937])).
% 39.46/25.96 tff(11946,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11947,plain,
% 39.46/25.96 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11948,plain,
% 39.46/25.96 (((~![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))))),
% 39.46/25.96 inference(monotonicity,[status(thm)],[11947])).
% 39.46/25.96 tff(11949,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(transitivity,[status(thm)],[11948, 11946])).
% 39.46/25.96 tff(11950,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11951,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11950, 11949])).
% 39.46/25.96 tff(11952,plain,
% 39.46/25.96 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11951, 402, 11920])).
% 39.46/25.96 tff(11953,plain,
% 39.46/25.96 (v100(constB90) | (~v110(constB90))),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11952, 11945])).
% 39.46/25.96 tff(11954,plain,
% 39.46/25.96 (v100(constB90)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11953, 11928])).
% 39.46/25.96 tff(11955,plain,
% 39.46/25.96 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11956,plain,
% 39.46/25.96 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11957,plain,
% 39.46/25.96 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11956, 11955])).
% 39.46/25.96 tff(11958,plain,
% 39.46/25.96 (~v130(constB89, bitIndex2)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11957, 1102, 11884])).
% 39.46/25.96 tff(11959,plain,
% 39.46/25.96 (((~![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))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11960,plain,
% 39.46/25.96 ((v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2))) <=> ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11961,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(monotonicity,[status(thm)],[11960])).
% 39.46/25.96 tff(11962,plain,
% 39.46/25.96 (((~![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))),
% 39.46/25.96 inference(transitivity,[status(thm)],[11961, 11959])).
% 39.46/25.96 tff(11963,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11964,plain,
% 39.46/25.96 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11963, 11962])).
% 39.46/25.96 tff(11965,plain,
% 39.46/25.96 ((~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11964, 435, 11908])).
% 39.46/25.96 tff(11966,plain,
% 39.46/25.96 (~v127(constB89, bitIndex2)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11965, 11958])).
% 39.46/25.96 tff(11967,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11968,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11969,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11968, 11967])).
% 39.46/25.96 tff(11970,plain,
% 39.46/25.96 (v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11969, 453, 11920])).
% 39.46/25.96 tff(11971,plain,
% 39.46/25.96 (~v129(constB90, bitIndex2)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11970, 11966])).
% 39.46/25.96 tff(11972,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11973,plain,
% 39.46/25.96 (((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2)) <=> ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11974,plain,
% 39.46/25.96 (((~![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))))),
% 39.46/25.96 inference(monotonicity,[status(thm)],[11973])).
% 39.46/25.96 tff(11975,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(transitivity,[status(thm)],[11974, 11972])).
% 39.46/25.96 tff(11976,plain,
% 39.46/25.96 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11977,plain,
% 39.46/25.96 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11976, 11975])).
% 39.46/25.96 tff(11978,plain,
% 39.46/25.96 ((~v90(constB90, bitIndex2)) | (~v100(constB90))),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11977, 468, 11971])).
% 39.46/25.96 tff(11979,plain,
% 39.46/25.96 (~v90(constB90, bitIndex2)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11978, 11954])).
% 39.46/25.96 tff(11980,plain,
% 39.46/25.96 ((~v1(constB91)) <=> (~v1(constB91))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11981,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 39.46/25.96 tff(11982,plain,
% 39.46/25.96 (~v1(constB91)),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11981, 11980])).
% 39.46/25.96 tff(11983,plain,
% 39.46/25.96 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11984,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 39.46/25.96 tff(11985,plain,
% 39.46/25.96 (nextState(constB90, constB91)),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11984, 11983])).
% 39.46/25.96 tff(11986,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11987,plain,
% 39.46/25.96 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11988,plain,
% 39.46/25.96 (((~![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))))),
% 39.46/25.96 inference(monotonicity,[status(thm)],[11987])).
% 39.46/25.96 tff(11989,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(transitivity,[status(thm)],[11988, 11986])).
% 39.46/25.96 tff(11990,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11991,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11990, 11989])).
% 39.46/25.96 tff(11992,plain,
% 39.46/25.96 (~v101(constB91)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11991, 133, 11985, 11982])).
% 39.46/25.96 tff(11993,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11994,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 39.46/25.96 inference(quant_inst,[status(thm)],[])).
% 39.46/25.96 tff(11995,plain,
% 39.46/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 39.46/25.96 inference(modus_ponens,[status(thm)],[11994, 11993])).
% 39.46/25.96 tff(11996,plain,
% 39.46/25.96 (v101(constB91) | (~v100(constB91))),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11995, 150, 11985])).
% 39.46/25.96 tff(11997,plain,
% 39.46/25.96 (~v100(constB91)),
% 39.46/25.96 inference(unit_resolution,[status(thm)],[11996, 11992])).
% 39.46/25.96 tff(11998,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(11999,plain,
% 39.46/25.96 (((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))) <=> (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 39.46/25.96 inference(rewrite,[status(thm)],[])).
% 39.46/25.96 tff(12000,plain,
% 39.46/25.96 (((~![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))))),
% 39.46/25.96 inference(monotonicity,[status(thm)],[11999])).
% 39.46/25.96 tff(12001,plain,
% 39.46/25.96 (((~![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)))),
% 39.46/25.96 inference(transitivity,[status(thm)],[12000, 11998])).
% 39.46/25.96 tff(12002,plain,
% 39.46/25.96 ((~![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)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12003,plain,
% 39.46/25.97 ((~![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))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12002, 12001])).
% 39.46/25.97 tff(12004,plain,
% 39.46/25.97 (v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12003, 165, 11985])).
% 39.46/25.97 tff(12005,plain,
% 39.46/25.97 (v90(constB90, bitIndex2) | (~v90(constB91, bitIndex2))),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12004, 11997])).
% 39.46/25.97 tff(12006,plain,
% 39.46/25.97 (~v90(constB91, bitIndex2)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12005, 11979])).
% 39.46/25.97 tff(12007,plain,
% 39.46/25.97 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12008,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12009,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12008, 12007])).
% 39.46/25.97 tff(12010,plain,
% 39.46/25.97 (v130(constB89, bitIndex1)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12009, 1717, 11884])).
% 39.46/25.97 tff(12011,plain,
% 39.46/25.97 (((~![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))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12012,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12013,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12012, 12011])).
% 39.46/25.97 tff(12014,plain,
% 39.46/25.97 ((~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12013, 882, 11908])).
% 39.46/25.97 tff(12015,plain,
% 39.46/25.97 (v127(constB89, bitIndex1)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12014, 12010])).
% 39.46/25.97 tff(12016,plain,
% 39.46/25.97 (((~![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))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12017,plain,
% 39.46/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12018,plain,
% 39.46/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12017, 12016])).
% 39.46/25.97 tff(12019,plain,
% 39.46/25.97 ((~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12018, 897, 11920])).
% 39.46/25.97 tff(12020,plain,
% 39.46/25.97 (v129(constB90, bitIndex1)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12019, 12015])).
% 39.46/25.97 tff(12021,plain,
% 39.46/25.97 (((~![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)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12022,plain,
% 39.46/25.97 ((v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1))) <=> (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12023,plain,
% 39.46/25.97 (((~![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))))),
% 39.46/25.97 inference(monotonicity,[status(thm)],[12022])).
% 39.46/25.97 tff(12024,plain,
% 39.46/25.97 (((~![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)))),
% 39.46/25.97 inference(transitivity,[status(thm)],[12023, 12021])).
% 39.46/25.97 tff(12025,plain,
% 39.46/25.97 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12026,plain,
% 39.46/25.97 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12025, 12024])).
% 39.46/25.97 tff(12027,plain,
% 39.46/25.97 (v90(constB90, bitIndex1) | (~v100(constB90))),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12026, 912, 12020])).
% 39.46/25.97 tff(12028,plain,
% 39.46/25.97 (v90(constB90, bitIndex1)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12027, 11954])).
% 39.46/25.97 tff(12029,plain,
% 39.46/25.97 (((~![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))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12030,plain,
% 39.46/25.97 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)) <=> ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12031,plain,
% 39.46/25.97 (((~![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)))),
% 39.46/25.97 inference(monotonicity,[status(thm)],[12030])).
% 39.46/25.97 tff(12032,plain,
% 39.46/25.97 (((~![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))),
% 39.46/25.97 inference(transitivity,[status(thm)],[12031, 12029])).
% 39.46/25.97 tff(12033,plain,
% 39.46/25.97 ((~![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))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12034,plain,
% 39.46/25.97 ((~![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)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12033, 12032])).
% 39.46/25.97 tff(12035,plain,
% 39.46/25.97 ((~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12034, 1049, 11985])).
% 39.46/25.97 tff(12036,plain,
% 39.46/25.97 ((~v90(constB90, bitIndex1)) | v90(constB91, bitIndex1)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12035, 11997])).
% 39.46/25.97 tff(12037,plain,
% 39.46/25.97 (v90(constB91, bitIndex1)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12036, 12028])).
% 39.46/25.97 tff(12038,plain,
% 39.46/25.97 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12039,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12040,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12039, 12038])).
% 39.46/25.97 tff(12041,plain,
% 39.46/25.97 (v130(constB89, bitIndex0)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12040, 1758, 11884])).
% 39.46/25.97 tff(12042,plain,
% 39.46/25.97 (((~![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))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12043,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12044,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12043, 12042])).
% 39.46/25.97 tff(12045,plain,
% 39.46/25.97 ((~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12044, 601, 11908])).
% 39.46/25.97 tff(12046,plain,
% 39.46/25.97 (v127(constB89, bitIndex0)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12045, 12041])).
% 39.46/25.97 tff(12047,plain,
% 39.46/25.97 (((~![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))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12048,plain,
% 39.46/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12049,plain,
% 39.46/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12048, 12047])).
% 39.46/25.97 tff(12050,plain,
% 39.46/25.97 ((~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12049, 616, 11920])).
% 39.46/25.97 tff(12051,plain,
% 39.46/25.97 (v129(constB90, bitIndex0)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12050, 12046])).
% 39.46/25.97 tff(12052,plain,
% 39.46/25.97 (((~![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)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12053,plain,
% 39.46/25.97 ((v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0))) <=> (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12054,plain,
% 39.46/25.97 (((~![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))))),
% 39.46/25.97 inference(monotonicity,[status(thm)],[12053])).
% 39.46/25.97 tff(12055,plain,
% 39.46/25.97 (((~![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)))),
% 39.46/25.97 inference(transitivity,[status(thm)],[12054, 12052])).
% 39.46/25.97 tff(12056,plain,
% 39.46/25.97 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12057,plain,
% 39.46/25.97 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12056, 12055])).
% 39.46/25.97 tff(12058,plain,
% 39.46/25.97 (v90(constB90, bitIndex0) | (~v100(constB90))),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12057, 631, 12051])).
% 39.46/25.97 tff(12059,plain,
% 39.46/25.97 (v90(constB90, bitIndex0)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12058, 11954])).
% 39.46/25.97 tff(12060,plain,
% 39.46/25.97 (((~![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))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12061,plain,
% 39.46/25.97 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)) <=> ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12062,plain,
% 39.46/25.97 (((~![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)))),
% 39.46/25.97 inference(monotonicity,[status(thm)],[12061])).
% 39.46/25.97 tff(12063,plain,
% 39.46/25.97 (((~![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))),
% 39.46/25.97 inference(transitivity,[status(thm)],[12062, 12060])).
% 39.46/25.97 tff(12064,plain,
% 39.46/25.97 ((~![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))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12065,plain,
% 39.46/25.97 ((~![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)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12064, 12063])).
% 39.46/25.97 tff(12066,plain,
% 39.46/25.97 ((~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12065, 649, 11985])).
% 39.46/25.97 tff(12067,plain,
% 39.46/25.97 ((~v90(constB90, bitIndex0)) | v90(constB91, bitIndex0)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12066, 11997])).
% 39.46/25.97 tff(12068,plain,
% 39.46/25.97 (v90(constB91, bitIndex0)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12067, 12059])).
% 39.46/25.97 tff(12069,plain,
% 39.46/25.97 (((~![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))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12070,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12071,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12070, 12069])).
% 39.46/25.97 tff(12072,plain,
% 39.46/25.97 (v122(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12071, 1184, 12068, 12037, 12006])).
% 39.46/25.97 tff(12073,plain,
% 39.46/25.97 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12074,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12075,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12074, 12073])).
% 39.46/25.97 tff(12076,plain,
% 39.46/25.97 (~v130(constB91, bitIndex0)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12075, 1486, 12072])).
% 39.46/25.97 tff(12077,assumption,(~v114(constB91)), introduced(assumption)).
% 39.46/25.97 tff(12078,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12079,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12080,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 39.46/25.97 tff(12081,plain,
% 39.46/25.97 (~v115(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12080, 283, 12077])).
% 39.46/25.97 tff(12082,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12083,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12084,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12083, 12082])).
% 39.46/25.97 tff(12085,plain,
% 39.46/25.97 (~v116(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12084, 272, 12081])).
% 39.46/25.97 tff(12086,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB91) | (~v117(constB91)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB91) | (~v117(constB91)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12087,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB91) | (~v117(constB91)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12088,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB91) | (~v117(constB91))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12087, 12086])).
% 39.46/25.97 tff(12089,plain,
% 39.46/25.97 (~v117(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12088, 261, 12085])).
% 39.46/25.97 tff(12090,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB91) | (~v118(constB91)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB91) | (~v118(constB91)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12091,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB91) | (~v118(constB91)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12092,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB91) | (~v118(constB91))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12091, 12090])).
% 39.46/25.97 tff(12093,plain,
% 39.46/25.97 (~v118(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12092, 250, 12089])).
% 39.46/25.97 tff(12094,assumption,(~v130(constB91, bitIndex0)), introduced(assumption)).
% 39.46/25.97 tff(12095,plain,
% 39.46/25.97 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB91)) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB91)) | v130(constB91, bitIndex0))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12096,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB91)) | v130(constB91, bitIndex0))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12097,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB91)) | v130(constB91, bitIndex0)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 39.46/25.97 tff(12098,plain,
% 39.46/25.97 (~v121(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12097, 1758, 12094])).
% 39.46/25.97 tff(12099,plain,
% 39.46/25.97 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB91)) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB91)) | v130(constB91, bitIndex0))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12100,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB91)) | v130(constB91, bitIndex0))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12101,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB91)) | v130(constB91, bitIndex0)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12100, 12099])).
% 39.46/25.97 tff(12102,plain,
% 39.46/25.97 (~v123(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12101, 2258, 12094])).
% 39.46/25.97 tff(12103,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB91) | (~v124(constB91)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB91) | (~v124(constB91)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12104,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB91) | (~v124(constB91)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12105,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB91) | (~v124(constB91))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12104, 12103])).
% 39.46/25.97 tff(12106,plain,
% 39.46/25.97 (~v124(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12105, 1236, 12077])).
% 39.46/25.97 tff(12107,plain,
% 39.46/25.97 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB91)) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB91)) | v130(constB91, bitIndex0))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12108,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB91)) | v130(constB91, bitIndex0))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12109,plain,
% 39.46/25.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB91)) | v130(constB91, bitIndex0)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12108, 12107])).
% 39.46/25.97 tff(12110,plain,
% 39.46/25.97 (~v119(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12109, 587, 12094])).
% 39.46/25.97 tff(12111,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12112,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12113,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12112, 12111])).
% 39.46/25.97 tff(12114,plain,
% 39.46/25.97 (~v122(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12113, 1149, 12085])).
% 39.46/25.97 tff(12115,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB91, bitIndex0) | v124(constB91) | v119(constB91) | v122(constB91) | v120(constB91) | v123(constB91) | v121(constB91))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB91, bitIndex0) | v124(constB91) | v119(constB91) | v122(constB91) | v120(constB91) | v123(constB91) | v121(constB91))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12116,plain,
% 39.46/25.97 ((v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0)) <=> (v130(constB91, bitIndex0) | v124(constB91) | v119(constB91) | v122(constB91) | v120(constB91) | v123(constB91) | v121(constB91))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12117,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB91, bitIndex0) | v124(constB91) | v119(constB91) | v122(constB91) | v120(constB91) | v123(constB91) | v121(constB91)))),
% 39.46/25.97 inference(monotonicity,[status(thm)],[12116])).
% 39.46/25.97 tff(12118,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB91, bitIndex0) | v124(constB91) | v119(constB91) | v122(constB91) | v120(constB91) | v123(constB91) | v121(constB91))),
% 39.46/25.97 inference(transitivity,[status(thm)],[12117, 12115])).
% 39.46/25.97 tff(12119,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12120,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB91, bitIndex0) | v124(constB91) | v119(constB91) | v122(constB91) | v120(constB91) | v123(constB91) | v121(constB91)),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12119, 12118])).
% 39.46/25.97 tff(12121,plain,
% 39.46/25.97 (v124(constB91) | v119(constB91) | v122(constB91) | v120(constB91) | v123(constB91) | v121(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12120, 2753, 12094])).
% 39.46/25.97 tff(12122,plain,
% 39.46/25.97 (v120(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12121, 12114, 12110, 12106, 12102, 12098])).
% 39.46/25.97 tff(12123,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB91) | (~v120(constB91)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB91) | (~v120(constB91)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12124,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB91) | (~v120(constB91)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12125,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB91) | (~v120(constB91))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12124, 12123])).
% 39.46/25.97 tff(12126,plain,
% 39.46/25.97 ($false),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12125, 778, 12122, 12093])).
% 39.46/25.97 tff(12127,plain,(v114(constB91) | v130(constB91, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.46/25.97 tff(12128,plain,
% 39.46/25.97 (v114(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12127, 12076])).
% 39.46/25.97 tff(12129,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12130,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12131,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91))),
% 39.46/25.97 inference(modus_ponens,[status(thm)],[12130, 12129])).
% 39.46/25.97 tff(12132,plain,
% 39.46/25.97 (v113(constB91)),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12131, 294, 12128])).
% 39.46/25.97 tff(12133,assumption,(v26(constB91)), introduced(assumption)).
% 39.46/25.97 tff(12134,plain,
% 39.46/25.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 39.46/25.97 inference(quant_inst,[status(thm)],[])).
% 39.46/25.97 tff(12135,plain,
% 39.46/25.97 ($false),
% 39.46/25.97 inference(unit_resolution,[status(thm)],[12134, 86, 12133])).
% 39.46/25.97 tff(12136,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 39.46/25.97 tff(12137,plain,
% 39.46/25.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 39.46/25.97 inference(rewrite,[status(thm)],[])).
% 39.46/25.97 tff(12138,plain,
% 39.46/25.97 ((v26(constB91) | (~v113(constB91)) | v112(constB91)) <=> (v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12139,plain,
% 39.46/25.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91))))),
% 39.46/25.98 inference(monotonicity,[status(thm)],[12138])).
% 39.46/25.98 tff(12140,plain,
% 39.46/25.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 39.46/25.98 inference(transitivity,[status(thm)],[12139, 12137])).
% 39.46/25.98 tff(12141,plain,
% 39.46/25.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12142,plain,
% 39.46/25.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12141, 12140])).
% 39.46/25.98 tff(12143,plain,
% 39.46/25.98 (v112(constB91) | (~v113(constB91))),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12142, 308, 12136])).
% 39.46/25.98 tff(12144,plain,
% 39.46/25.98 (v112(constB91)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12143, 12132])).
% 39.46/25.98 tff(12145,plain,
% 39.46/25.98 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12146,plain,
% 39.46/25.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12147,plain,
% 39.46/25.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12146, 12145])).
% 39.46/25.98 tff(12148,plain,
% 39.46/25.98 (v108(constB91)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12147, 320, 12144])).
% 39.46/25.98 tff(12149,plain,
% 39.46/25.98 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12150,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 39.46/25.98 tff(12151,plain,
% 39.46/25.98 (nextState(constB91, constB92)),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12150, 12149])).
% 39.46/25.98 tff(12152,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12153,plain,
% 39.46/25.98 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12154,plain,
% 39.46/25.98 (((~![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))))),
% 39.46/25.98 inference(monotonicity,[status(thm)],[12153])).
% 39.46/25.98 tff(12155,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(transitivity,[status(thm)],[12154, 12152])).
% 39.46/25.98 tff(12156,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12157,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12156, 12155])).
% 39.46/25.98 tff(12158,plain,
% 39.46/25.98 (v110(constB92) | (~v108(constB91))),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12157, 337, 12151])).
% 39.46/25.98 tff(12159,plain,
% 39.46/25.98 (v110(constB92)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12158, 12148])).
% 39.46/25.98 tff(12160,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12161,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12162,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12161, 12160])).
% 39.46/25.98 tff(12163,plain,
% 39.46/25.98 (~v104(constB92)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12162, 355, 12151, 11982])).
% 39.46/25.98 tff(12164,plain,
% 39.46/25.98 (((~![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))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12165,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12166,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12165, 12164])).
% 39.46/25.98 tff(12167,plain,
% 39.46/25.98 (v102(constB92) | v104(constB92)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12166, 369, 12151])).
% 39.46/25.98 tff(12168,plain,
% 39.46/25.98 (v102(constB92)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12167, 12163])).
% 39.46/25.98 tff(12169,plain,
% 39.46/25.98 (v1(constB92) <=> v1(constB92)),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12170,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 39.46/25.98 tff(12171,plain,
% 39.46/25.98 (v1(constB92)),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12170, 12169])).
% 39.46/25.98 tff(12172,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12173,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12174,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12173, 12172])).
% 39.46/25.98 tff(12175,plain,
% 39.46/25.98 (v101(constB92) | (~v102(constB92))),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12174, 387, 12151, 12171])).
% 39.46/25.98 tff(12176,plain,
% 39.46/25.98 (v101(constB92)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12175, 12168])).
% 39.46/25.98 tff(12177,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12178,plain,
% 39.46/25.98 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12179,plain,
% 39.46/25.98 (((~![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))))),
% 39.46/25.98 inference(monotonicity,[status(thm)],[12178])).
% 39.46/25.98 tff(12180,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(transitivity,[status(thm)],[12179, 12177])).
% 39.46/25.98 tff(12181,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12182,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12181, 12180])).
% 39.46/25.98 tff(12183,plain,
% 39.46/25.98 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12182, 402, 12151])).
% 39.46/25.98 tff(12184,plain,
% 39.46/25.98 (v100(constB92) | (~v110(constB92))),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12183, 12176])).
% 39.46/25.98 tff(12185,plain,
% 39.46/25.98 (v100(constB92)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12184, 12159])).
% 39.46/25.98 tff(12186,plain,
% 39.46/25.98 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12187,plain,
% 39.46/25.98 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12188,plain,
% 39.46/25.98 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2)),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12187, 12186])).
% 39.46/25.98 tff(12189,plain,
% 39.46/25.98 (v130(constB91, bitIndex2)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12188, 1803, 12072])).
% 39.46/25.98 tff(12190,plain,
% 39.46/25.98 (((~![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))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12191,plain,
% 39.46/25.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12192,plain,
% 39.46/25.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12191, 12190])).
% 39.46/25.98 tff(12193,plain,
% 39.46/25.98 ((~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12192, 1821, 12136])).
% 39.46/25.98 tff(12194,plain,
% 39.46/25.98 (v127(constB91, bitIndex2)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12193, 12189])).
% 39.46/25.98 tff(12195,plain,
% 39.46/25.98 (((~![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))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12196,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12197,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12196, 12195])).
% 39.46/25.98 tff(12198,plain,
% 39.46/25.98 ((~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12197, 1836, 12151])).
% 39.46/25.98 tff(12199,plain,
% 39.46/25.98 (v129(constB92, bitIndex2)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12198, 12194])).
% 39.46/25.98 tff(12200,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12201,plain,
% 39.46/25.98 ((v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2))) <=> (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12202,plain,
% 39.46/25.98 (((~![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))))),
% 39.46/25.98 inference(monotonicity,[status(thm)],[12201])).
% 39.46/25.98 tff(12203,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(transitivity,[status(thm)],[12202, 12200])).
% 39.46/25.98 tff(12204,plain,
% 39.46/25.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12205,plain,
% 39.46/25.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12204, 12203])).
% 39.46/25.98 tff(12206,plain,
% 39.46/25.98 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12205, 2100, 12199])).
% 39.46/25.98 tff(12207,plain,
% 39.46/25.98 (v90(constB92, bitIndex2)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12206, 12185])).
% 39.46/25.98 tff(12208,plain,
% 39.46/25.98 ((~v1(constB93)) <=> (~v1(constB93))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12209,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 39.46/25.98 tff(12210,plain,
% 39.46/25.98 (~v1(constB93)),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12209, 12208])).
% 39.46/25.98 tff(12211,plain,
% 39.46/25.98 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12212,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 39.46/25.98 tff(12213,plain,
% 39.46/25.98 (nextState(constB92, constB93)),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12212, 12211])).
% 39.46/25.98 tff(12214,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12215,plain,
% 39.46/25.98 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12216,plain,
% 39.46/25.98 (((~![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))))),
% 39.46/25.98 inference(monotonicity,[status(thm)],[12215])).
% 39.46/25.98 tff(12217,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(transitivity,[status(thm)],[12216, 12214])).
% 39.46/25.98 tff(12218,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12219,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12218, 12217])).
% 39.46/25.98 tff(12220,plain,
% 39.46/25.98 (~v101(constB93)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12219, 133, 12213, 12210])).
% 39.46/25.98 tff(12221,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12222,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12223,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12222, 12221])).
% 39.46/25.98 tff(12224,plain,
% 39.46/25.98 (v101(constB93) | (~v100(constB93))),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12223, 150, 12213])).
% 39.46/25.98 tff(12225,plain,
% 39.46/25.98 (~v100(constB93)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12224, 12220])).
% 39.46/25.98 tff(12226,plain,
% 39.46/25.98 (((~![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))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12227,plain,
% 39.46/25.98 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)) <=> ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12228,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(monotonicity,[status(thm)],[12227])).
% 39.46/25.98 tff(12229,plain,
% 39.46/25.98 (((~![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))),
% 39.46/25.98 inference(transitivity,[status(thm)],[12228, 12226])).
% 39.46/25.98 tff(12230,plain,
% 39.46/25.98 ((~![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))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12231,plain,
% 39.46/25.98 ((~![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)),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12230, 12229])).
% 39.46/25.98 tff(12232,plain,
% 39.46/25.98 ((~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12231, 2118, 12213])).
% 39.46/25.98 tff(12233,plain,
% 39.46/25.98 ((~v90(constB92, bitIndex2)) | v90(constB93, bitIndex2)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12232, 12225])).
% 39.46/25.98 tff(12234,plain,
% 39.46/25.98 (v90(constB93, bitIndex2)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12233, 12207])).
% 39.46/25.98 tff(12235,plain,
% 39.46/25.98 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12236,plain,
% 39.46/25.98 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12237,plain,
% 39.46/25.98 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12236, 12235])).
% 39.46/25.98 tff(12238,plain,
% 39.46/25.98 (~v130(constB91, bitIndex1)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12237, 2137, 12072])).
% 39.46/25.98 tff(12239,plain,
% 39.46/25.98 (((~![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))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12240,plain,
% 39.46/25.98 ((v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1))) <=> ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12241,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(monotonicity,[status(thm)],[12240])).
% 39.46/25.98 tff(12242,plain,
% 39.46/25.98 (((~![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))),
% 39.46/25.98 inference(transitivity,[status(thm)],[12241, 12239])).
% 39.46/25.98 tff(12243,plain,
% 39.46/25.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12244,plain,
% 39.46/25.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12243, 12242])).
% 39.46/25.98 tff(12245,plain,
% 39.46/25.98 ((~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12244, 527, 12136])).
% 39.46/25.98 tff(12246,plain,
% 39.46/25.98 (~v127(constB91, bitIndex1)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12245, 12238])).
% 39.46/25.98 tff(12247,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12248,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12249,plain,
% 39.46/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12248, 12247])).
% 39.46/25.98 tff(12250,plain,
% 39.46/25.98 (v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12249, 545, 12151])).
% 39.46/25.98 tff(12251,plain,
% 39.46/25.98 (~v129(constB92, bitIndex1)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12250, 12246])).
% 39.46/25.98 tff(12252,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12253,plain,
% 39.46/25.98 (((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1)) <=> ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12254,plain,
% 39.46/25.98 (((~![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))))),
% 39.46/25.98 inference(monotonicity,[status(thm)],[12253])).
% 39.46/25.98 tff(12255,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(transitivity,[status(thm)],[12254, 12252])).
% 39.46/25.98 tff(12256,plain,
% 39.46/25.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))),
% 39.46/25.98 inference(quant_inst,[status(thm)],[])).
% 39.46/25.98 tff(12257,plain,
% 39.46/25.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))),
% 39.46/25.98 inference(modus_ponens,[status(thm)],[12256, 12255])).
% 39.46/25.98 tff(12258,plain,
% 39.46/25.98 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12257, 560, 12251])).
% 39.46/25.98 tff(12259,plain,
% 39.46/25.98 (~v90(constB92, bitIndex1)),
% 39.46/25.98 inference(unit_resolution,[status(thm)],[12258, 12185])).
% 39.46/25.98 tff(12260,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12261,plain,
% 39.46/25.98 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))) <=> (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 39.46/25.98 inference(rewrite,[status(thm)],[])).
% 39.46/25.98 tff(12262,plain,
% 39.46/25.98 (((~![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))))),
% 39.46/25.98 inference(monotonicity,[status(thm)],[12261])).
% 39.46/25.98 tff(12263,plain,
% 39.46/25.98 (((~![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)))),
% 39.46/25.98 inference(transitivity,[status(thm)],[12262, 12260])).
% 39.46/25.98 tff(12264,plain,
% 39.46/25.98 ((~![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)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12265,plain,
% 39.46/25.99 ((~![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))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12264, 12263])).
% 39.46/25.99 tff(12266,plain,
% 39.46/25.99 (v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12265, 186, 12213])).
% 39.46/25.99 tff(12267,plain,
% 39.46/25.99 (v90(constB92, bitIndex1) | (~v90(constB93, bitIndex1))),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12266, 12225])).
% 39.46/25.99 tff(12268,plain,
% 39.46/25.99 (~v90(constB93, bitIndex1)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12267, 12259])).
% 39.46/25.99 tff(12269,plain,
% 39.46/25.99 (((~![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))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12270,plain,
% 39.46/25.99 ((v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0))) <=> ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12271,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(monotonicity,[status(thm)],[12270])).
% 39.46/25.99 tff(12272,plain,
% 39.46/25.99 (((~![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))),
% 39.46/25.99 inference(transitivity,[status(thm)],[12271, 12269])).
% 39.46/25.99 tff(12273,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12274,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12273, 12272])).
% 39.46/25.99 tff(12275,plain,
% 39.46/25.99 ((~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12274, 944, 12136])).
% 39.46/25.99 tff(12276,plain,
% 39.46/25.99 (~v127(constB91, bitIndex0)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12275, 12076])).
% 39.46/25.99 tff(12277,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12278,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12279,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12278, 12277])).
% 39.46/25.99 tff(12280,plain,
% 39.46/25.99 (v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12279, 962, 12151])).
% 39.46/25.99 tff(12281,plain,
% 39.46/25.99 (~v129(constB92, bitIndex0)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12280, 12276])).
% 39.46/25.99 tff(12282,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12283,plain,
% 39.46/25.99 (((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0)) <=> ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12284,plain,
% 39.46/25.99 (((~![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))))),
% 39.46/25.99 inference(monotonicity,[status(thm)],[12283])).
% 39.46/25.99 tff(12285,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(transitivity,[status(thm)],[12284, 12282])).
% 39.46/25.99 tff(12286,plain,
% 39.46/25.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12287,plain,
% 39.46/25.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12286, 12285])).
% 39.46/25.99 tff(12288,plain,
% 39.46/25.99 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12287, 977, 12281])).
% 39.46/25.99 tff(12289,plain,
% 39.46/25.99 (~v90(constB92, bitIndex0)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12288, 12185])).
% 39.46/25.99 tff(12290,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12291,plain,
% 39.46/25.99 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))) <=> (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12292,plain,
% 39.46/25.99 (((~![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))))),
% 39.46/25.99 inference(monotonicity,[status(thm)],[12291])).
% 39.46/25.99 tff(12293,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(transitivity,[status(thm)],[12292, 12290])).
% 39.46/25.99 tff(12294,plain,
% 39.46/25.99 ((~![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)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12295,plain,
% 39.46/25.99 ((~![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))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12294, 12293])).
% 39.46/25.99 tff(12296,plain,
% 39.46/25.99 (v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12295, 207, 12213])).
% 39.46/25.99 tff(12297,plain,
% 39.46/25.99 (v90(constB92, bitIndex0) | (~v90(constB93, bitIndex0))),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12296, 12225])).
% 39.46/25.99 tff(12298,plain,
% 39.46/25.99 (~v90(constB93, bitIndex0)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12297, 12289])).
% 39.46/25.99 tff(12299,plain,
% 39.46/25.99 (((~![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))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12300,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12301,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12300, 12299])).
% 39.46/25.99 tff(12302,plain,
% 39.46/25.99 (v123(constB93)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12301, 1280, 12298, 12268, 12234])).
% 39.46/25.99 tff(12303,plain,
% 39.46/25.99 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12304,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12305,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12304, 12303])).
% 39.46/25.99 tff(12306,plain,
% 39.46/25.99 (v115(constB93)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12305, 1247, 12302])).
% 39.46/25.99 tff(12307,plain,
% 39.46/25.99 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12308,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12309,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12308, 12307])).
% 39.46/25.99 tff(12310,plain,
% 39.46/25.99 (v114(constB93)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12309, 283, 12306])).
% 39.46/25.99 tff(12311,plain,
% 39.46/25.99 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12312,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12313,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12312, 12311])).
% 39.46/25.99 tff(12314,plain,
% 39.46/25.99 (v113(constB93)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12313, 294, 12310])).
% 39.46/25.99 tff(12315,assumption,(~v108(constB93)), introduced(assumption)).
% 39.46/25.99 tff(12316,plain,
% 39.46/25.99 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12317,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12318,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12317, 12316])).
% 39.46/25.99 tff(12319,plain,
% 39.46/25.99 (~v112(constB93)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12318, 320, 12315])).
% 39.46/25.99 tff(12320,plain,
% 39.46/25.99 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB93) | (~v26(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB93) | (~v26(constB93)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12321,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB93) | (~v26(constB93)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12322,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB93) | (~v26(constB93))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 39.46/25.99 tff(12323,plain,
% 39.46/25.99 (~v26(constB93)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12322, 766, 12315])).
% 39.46/25.99 tff(12324,assumption,(v113(constB93)), introduced(assumption)).
% 39.46/25.99 tff(12325,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12326,plain,
% 39.46/25.99 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12327,plain,
% 39.46/25.99 (((~![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))))),
% 39.46/25.99 inference(monotonicity,[status(thm)],[12326])).
% 39.46/25.99 tff(12328,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(transitivity,[status(thm)],[12327, 12325])).
% 39.46/25.99 tff(12329,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12330,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12329, 12328])).
% 39.46/25.99 tff(12331,plain,
% 39.46/25.99 (v26(constB93) | v112(constB93)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12330, 308, 12324])).
% 39.46/25.99 tff(12332,plain,
% 39.46/25.99 ($false),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12331, 12323, 12319])).
% 39.46/25.99 tff(12333,plain,(v108(constB93) | (~v113(constB93))), inference(lemma,lemma(discharge,[]))).
% 39.46/25.99 tff(12334,plain,
% 39.46/25.99 (v108(constB93)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12333, 12314])).
% 39.46/25.99 tff(12335,plain,
% 39.46/25.99 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12336,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 39.46/25.99 tff(12337,plain,
% 39.46/25.99 (nextState(constB93, constB94)),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12336, 12335])).
% 39.46/25.99 tff(12338,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12339,plain,
% 39.46/25.99 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12340,plain,
% 39.46/25.99 (((~![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))))),
% 39.46/25.99 inference(monotonicity,[status(thm)],[12339])).
% 39.46/25.99 tff(12341,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(transitivity,[status(thm)],[12340, 12338])).
% 39.46/25.99 tff(12342,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12343,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 39.46/25.99 tff(12344,plain,
% 39.46/25.99 (v110(constB94) | (~v108(constB93))),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12343, 337, 12337])).
% 39.46/25.99 tff(12345,plain,
% 39.46/25.99 (v110(constB94)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12344, 12334])).
% 39.46/25.99 tff(12346,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12347,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12348,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12347, 12346])).
% 39.46/25.99 tff(12349,plain,
% 39.46/25.99 (~v104(constB94)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12348, 355, 12337, 12210])).
% 39.46/25.99 tff(12350,plain,
% 39.46/25.99 (((~![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))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12351,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12352,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12351, 12350])).
% 39.46/25.99 tff(12353,plain,
% 39.46/25.99 (v102(constB94) | v104(constB94)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12352, 369, 12337])).
% 39.46/25.99 tff(12354,plain,
% 39.46/25.99 (v102(constB94)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12353, 12349])).
% 39.46/25.99 tff(12355,plain,
% 39.46/25.99 (v1(constB94) <=> v1(constB94)),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12356,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 39.46/25.99 tff(12357,plain,
% 39.46/25.99 (v1(constB94)),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12356, 12355])).
% 39.46/25.99 tff(12358,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12359,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12360,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12359, 12358])).
% 39.46/25.99 tff(12361,plain,
% 39.46/25.99 (v101(constB94) | (~v102(constB94))),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12360, 387, 12337, 12357])).
% 39.46/25.99 tff(12362,plain,
% 39.46/25.99 (v101(constB94)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12361, 12354])).
% 39.46/25.99 tff(12363,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12364,plain,
% 39.46/25.99 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12365,plain,
% 39.46/25.99 (((~![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))))),
% 39.46/25.99 inference(monotonicity,[status(thm)],[12364])).
% 39.46/25.99 tff(12366,plain,
% 39.46/25.99 (((~![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)))),
% 39.46/25.99 inference(transitivity,[status(thm)],[12365, 12363])).
% 39.46/25.99 tff(12367,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12368,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12367, 12366])).
% 39.46/25.99 tff(12369,plain,
% 39.46/25.99 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12368, 402, 12337])).
% 39.46/25.99 tff(12370,plain,
% 39.46/25.99 (v100(constB94) | (~v110(constB94))),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12369, 12362])).
% 39.46/25.99 tff(12371,plain,
% 39.46/25.99 (v100(constB94)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12370, 12345])).
% 39.46/25.99 tff(12372,plain,
% 39.46/25.99 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12373,plain,
% 39.46/25.99 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12374,plain,
% 39.46/25.99 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2)),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12373, 12372])).
% 39.46/25.99 tff(12375,plain,
% 39.46/25.99 (v130(constB93, bitIndex2)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12374, 2165, 12302])).
% 39.46/25.99 tff(12376,assumption,(v26(constB93)), introduced(assumption)).
% 39.46/25.99 tff(12377,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12378,plain,
% 39.46/25.99 ($false),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12377, 86, 12376])).
% 39.46/25.99 tff(12379,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 39.46/25.99 tff(12380,plain,
% 39.46/25.99 (((~![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))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12381,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12382,plain,
% 39.46/25.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 39.46/25.99 tff(12383,plain,
% 39.46/25.99 ((~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12382, 1821, 12379])).
% 39.46/25.99 tff(12384,plain,
% 39.46/25.99 (v127(constB93, bitIndex2)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12383, 12375])).
% 39.46/25.99 tff(12385,plain,
% 39.46/25.99 (((~![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))),
% 39.46/25.99 inference(rewrite,[status(thm)],[])).
% 39.46/25.99 tff(12386,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 39.46/25.99 inference(quant_inst,[status(thm)],[])).
% 39.46/25.99 tff(12387,plain,
% 39.46/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 39.46/25.99 inference(modus_ponens,[status(thm)],[12386, 12385])).
% 39.46/25.99 tff(12388,plain,
% 39.46/25.99 ((~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12387, 1836, 12337])).
% 39.46/25.99 tff(12389,plain,
% 39.46/25.99 (v129(constB94, bitIndex2)),
% 39.46/25.99 inference(unit_resolution,[status(thm)],[12388, 12384])).
% 39.46/25.99 tff(12390,plain,
% 39.46/25.99 (((~![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)))),
% 39.56/25.99 inference(rewrite,[status(thm)],[])).
% 39.56/25.99 tff(12391,plain,
% 39.56/25.99 ((v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2))) <=> (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 39.56/25.99 inference(rewrite,[status(thm)],[])).
% 39.56/25.99 tff(12392,plain,
% 39.56/25.99 (((~![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))))),
% 39.56/25.99 inference(monotonicity,[status(thm)],[12391])).
% 39.56/25.99 tff(12393,plain,
% 39.56/25.99 (((~![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)))),
% 39.56/25.99 inference(transitivity,[status(thm)],[12392, 12390])).
% 39.56/25.99 tff(12394,plain,
% 39.56/25.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))),
% 39.56/25.99 inference(quant_inst,[status(thm)],[])).
% 39.56/25.99 tff(12395,plain,
% 39.56/25.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))),
% 39.56/25.99 inference(modus_ponens,[status(thm)],[12394, 12393])).
% 39.56/25.99 tff(12396,plain,
% 39.56/25.99 (v90(constB94, bitIndex2) | (~v100(constB94))),
% 39.56/25.99 inference(unit_resolution,[status(thm)],[12395, 2100, 12389])).
% 39.56/25.99 tff(12397,plain,
% 39.56/25.99 (v90(constB94, bitIndex2)),
% 39.56/25.99 inference(unit_resolution,[status(thm)],[12396, 12371])).
% 39.56/25.99 tff(12398,plain,
% 39.56/25.99 ((~v1(constB95)) <=> (~v1(constB95))),
% 39.56/25.99 inference(rewrite,[status(thm)],[])).
% 39.56/25.99 tff(12399,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 39.56/25.99 tff(12400,plain,
% 39.56/25.99 (~v1(constB95)),
% 39.56/25.99 inference(modus_ponens,[status(thm)],[12399, 12398])).
% 39.56/25.99 tff(12401,plain,
% 39.56/25.99 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 39.56/25.99 inference(rewrite,[status(thm)],[])).
% 39.56/25.99 tff(12402,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 39.56/25.99 tff(12403,plain,
% 39.56/25.99 (nextState(constB94, constB95)),
% 39.56/25.99 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 39.56/25.99 tff(12404,plain,
% 39.56/25.99 (((~![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)))),
% 39.56/25.99 inference(rewrite,[status(thm)],[])).
% 39.56/25.99 tff(12405,plain,
% 39.56/25.99 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 39.56/25.99 inference(rewrite,[status(thm)],[])).
% 39.56/25.99 tff(12406,plain,
% 39.56/25.99 (((~![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))))),
% 39.56/25.99 inference(monotonicity,[status(thm)],[12405])).
% 39.56/25.99 tff(12407,plain,
% 39.56/25.99 (((~![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)))),
% 39.56/25.99 inference(transitivity,[status(thm)],[12406, 12404])).
% 39.56/25.99 tff(12408,plain,
% 39.56/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 39.56/25.99 inference(quant_inst,[status(thm)],[])).
% 39.56/25.99 tff(12409,plain,
% 39.56/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 39.56/25.99 inference(modus_ponens,[status(thm)],[12408, 12407])).
% 39.56/25.99 tff(12410,plain,
% 39.56/25.99 (~v101(constB95)),
% 39.56/25.99 inference(unit_resolution,[status(thm)],[12409, 133, 12403, 12400])).
% 39.56/25.99 tff(12411,plain,
% 39.56/25.99 (((~![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)))),
% 39.56/25.99 inference(rewrite,[status(thm)],[])).
% 39.56/25.99 tff(12412,plain,
% 39.56/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 39.56/25.99 inference(quant_inst,[status(thm)],[])).
% 39.56/25.99 tff(12413,plain,
% 39.56/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 39.56/25.99 inference(modus_ponens,[status(thm)],[12412, 12411])).
% 39.56/25.99 tff(12414,plain,
% 39.56/25.99 (v101(constB95) | (~v100(constB95))),
% 39.56/25.99 inference(unit_resolution,[status(thm)],[12413, 150, 12403])).
% 39.56/25.99 tff(12415,plain,
% 39.56/25.99 (~v100(constB95)),
% 39.56/25.99 inference(unit_resolution,[status(thm)],[12414, 12410])).
% 39.56/25.99 tff(12416,plain,
% 39.56/25.99 (((~![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))),
% 39.56/25.99 inference(rewrite,[status(thm)],[])).
% 39.56/25.99 tff(12417,plain,
% 39.56/25.99 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)) <=> ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 39.56/25.99 inference(rewrite,[status(thm)],[])).
% 39.56/25.99 tff(12418,plain,
% 39.56/25.99 (((~![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)))),
% 39.56/26.00 inference(monotonicity,[status(thm)],[12417])).
% 39.56/26.00 tff(12419,plain,
% 39.56/26.00 (((~![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))),
% 39.56/26.00 inference(transitivity,[status(thm)],[12418, 12416])).
% 39.56/26.00 tff(12420,plain,
% 39.56/26.00 ((~![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))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12421,plain,
% 39.56/26.00 ((~![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)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12420, 12419])).
% 39.56/26.00 tff(12422,plain,
% 39.56/26.00 ((~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12421, 2118, 12403])).
% 39.56/26.00 tff(12423,plain,
% 39.56/26.00 ((~v90(constB94, bitIndex2)) | v90(constB95, bitIndex2)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12422, 12415])).
% 39.56/26.00 tff(12424,plain,
% 39.56/26.00 (v90(constB95, bitIndex2)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12423, 12397])).
% 39.56/26.00 tff(12425,plain,
% 39.56/26.00 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB93)) | (~v130(constB93, bitIndex1)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12426,plain,
% 39.56/26.00 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex1)))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12427,plain,
% 39.56/26.00 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB93)) | (~v130(constB93, bitIndex1))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12426, 12425])).
% 39.56/26.00 tff(12428,plain,
% 39.56/26.00 (~v130(constB93, bitIndex1)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12427, 1579, 12302])).
% 39.56/26.00 tff(12429,plain,
% 39.56/26.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12430,plain,
% 39.56/26.00 ((v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1))) <=> ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12431,plain,
% 39.56/26.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1)))),
% 39.56/26.00 inference(monotonicity,[status(thm)],[12430])).
% 39.56/26.00 tff(12432,plain,
% 39.56/26.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 39.56/26.00 inference(transitivity,[status(thm)],[12431, 12429])).
% 39.56/26.00 tff(12433,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12434,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12433, 12432])).
% 39.56/26.00 tff(12435,plain,
% 39.56/26.00 ((~v127(constB93, bitIndex1)) | v130(constB93, bitIndex1)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12434, 527, 12379])).
% 39.56/26.00 tff(12436,plain,
% 39.56/26.00 (~v127(constB93, bitIndex1)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12435, 12428])).
% 39.56/26.00 tff(12437,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12438,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12439,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12438, 12437])).
% 39.56/26.00 tff(12440,plain,
% 39.56/26.00 (v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1))),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12439, 545, 12337])).
% 39.56/26.00 tff(12441,plain,
% 39.56/26.00 (~v129(constB94, bitIndex1)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12440, 12436])).
% 39.56/26.00 tff(12442,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12443,plain,
% 39.56/26.00 (((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1)) <=> ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12444,plain,
% 39.56/26.00 (((~![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))))),
% 39.56/26.00 inference(monotonicity,[status(thm)],[12443])).
% 39.56/26.00 tff(12445,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(transitivity,[status(thm)],[12444, 12442])).
% 39.56/26.00 tff(12446,plain,
% 39.56/26.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12447,plain,
% 39.56/26.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12446, 12445])).
% 39.56/26.00 tff(12448,plain,
% 39.56/26.00 ((~v90(constB94, bitIndex1)) | (~v100(constB94))),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12447, 560, 12441])).
% 39.56/26.00 tff(12449,plain,
% 39.56/26.00 (~v90(constB94, bitIndex1)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12448, 12371])).
% 39.56/26.00 tff(12450,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12451,plain,
% 39.56/26.00 (((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1))) <=> (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12452,plain,
% 39.56/26.00 (((~![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))))),
% 39.56/26.00 inference(monotonicity,[status(thm)],[12451])).
% 39.56/26.00 tff(12453,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(transitivity,[status(thm)],[12452, 12450])).
% 39.56/26.00 tff(12454,plain,
% 39.56/26.00 ((~![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)))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12455,plain,
% 39.56/26.00 ((~![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))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12454, 12453])).
% 39.56/26.00 tff(12456,plain,
% 39.56/26.00 (v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1))),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12455, 186, 12403])).
% 39.56/26.00 tff(12457,plain,
% 39.56/26.00 (v90(constB94, bitIndex1) | (~v90(constB95, bitIndex1))),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12456, 12415])).
% 39.56/26.00 tff(12458,plain,
% 39.56/26.00 (~v90(constB95, bitIndex1)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12457, 12449])).
% 39.56/26.00 tff(12459,plain,
% 39.56/26.00 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB93)) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB93)) | v130(constB93, bitIndex0))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12460,plain,
% 39.56/26.00 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB93)) | v130(constB93, bitIndex0))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12461,plain,
% 39.56/26.00 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB93)) | v130(constB93, bitIndex0)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12460, 12459])).
% 39.56/26.00 tff(12462,plain,
% 39.56/26.00 (v130(constB93, bitIndex0)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12461, 2258, 12302])).
% 39.56/26.00 tff(12463,plain,
% 39.56/26.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12464,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12465,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12464, 12463])).
% 39.56/26.00 tff(12466,plain,
% 39.56/26.00 ((~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12465, 601, 12379])).
% 39.56/26.00 tff(12467,plain,
% 39.56/26.00 (v127(constB93, bitIndex0)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12466, 12462])).
% 39.56/26.00 tff(12468,plain,
% 39.56/26.00 (((~![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))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12469,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12470,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 39.56/26.00 tff(12471,plain,
% 39.56/26.00 ((~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12470, 616, 12337])).
% 39.56/26.00 tff(12472,plain,
% 39.56/26.00 (v129(constB94, bitIndex0)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12471, 12467])).
% 39.56/26.00 tff(12473,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12474,plain,
% 39.56/26.00 ((v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0))) <=> (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12475,plain,
% 39.56/26.00 (((~![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))))),
% 39.56/26.00 inference(monotonicity,[status(thm)],[12474])).
% 39.56/26.00 tff(12476,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(transitivity,[status(thm)],[12475, 12473])).
% 39.56/26.00 tff(12477,plain,
% 39.56/26.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12478,plain,
% 39.56/26.00 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12477, 12476])).
% 39.56/26.00 tff(12479,plain,
% 39.56/26.00 (v90(constB94, bitIndex0) | (~v100(constB94))),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12478, 631, 12472])).
% 39.56/26.00 tff(12480,plain,
% 39.56/26.00 (v90(constB94, bitIndex0)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12479, 12371])).
% 39.56/26.00 tff(12481,plain,
% 39.56/26.00 (((~![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))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12482,plain,
% 39.56/26.00 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)) <=> ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12483,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(monotonicity,[status(thm)],[12482])).
% 39.56/26.00 tff(12484,plain,
% 39.56/26.00 (((~![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))),
% 39.56/26.00 inference(transitivity,[status(thm)],[12483, 12481])).
% 39.56/26.00 tff(12485,plain,
% 39.56/26.00 ((~![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))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12486,plain,
% 39.56/26.00 ((~![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)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12485, 12484])).
% 39.56/26.00 tff(12487,plain,
% 39.56/26.00 ((~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12486, 649, 12403])).
% 39.56/26.00 tff(12488,plain,
% 39.56/26.00 ((~v90(constB94, bitIndex0)) | v90(constB95, bitIndex0)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12487, 12415])).
% 39.56/26.00 tff(12489,plain,
% 39.56/26.00 (v90(constB95, bitIndex0)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12488, 12480])).
% 39.56/26.00 tff(12490,plain,
% 39.56/26.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12491,plain,
% 39.56/26.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12492,plain,
% 39.56/26.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 39.56/26.00 tff(12493,plain,
% 39.56/26.00 (v124(constB95)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12492, 1264, 12489, 12458, 12424])).
% 39.56/26.00 tff(12494,plain,
% 39.56/26.00 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB95) | (~v124(constB95)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB95) | (~v124(constB95)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12495,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB95) | (~v124(constB95)))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12496,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB95) | (~v124(constB95))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12495, 12494])).
% 39.56/26.00 tff(12497,plain,
% 39.56/26.00 (v114(constB95)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12496, 1236, 12493])).
% 39.56/26.00 tff(12498,plain,
% 39.56/26.00 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB95) | (~v114(constB95)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB95) | (~v114(constB95)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12499,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB95) | (~v114(constB95)))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12500,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB95) | (~v114(constB95))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12499, 12498])).
% 39.56/26.00 tff(12501,plain,
% 39.56/26.00 (v113(constB95)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12500, 294, 12497])).
% 39.56/26.00 tff(12502,assumption,(v26(constB95)), introduced(assumption)).
% 39.56/26.00 tff(12503,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12504,plain,
% 39.56/26.00 ($false),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12503, 86, 12502])).
% 39.56/26.00 tff(12505,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 39.56/26.00 tff(12506,plain,
% 39.56/26.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12507,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12508,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | (~v113(constB95)) | v112(constB95)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12507, 12506])).
% 39.56/26.00 tff(12509,plain,
% 39.56/26.00 ((~v113(constB95)) | v112(constB95)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12508, 308, 12505])).
% 39.56/26.00 tff(12510,plain,
% 39.56/26.00 (v112(constB95)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12509, 12501])).
% 39.56/26.00 tff(12511,plain,
% 39.56/26.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12512,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12513,plain,
% 39.56/26.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12512, 12511])).
% 39.56/26.00 tff(12514,plain,
% 39.56/26.00 (v108(constB95)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12513, 320, 12510])).
% 39.56/26.00 tff(12515,plain,
% 39.56/26.00 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12516,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 39.56/26.00 tff(12517,plain,
% 39.56/26.00 (nextState(constB95, constB96)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12516, 12515])).
% 39.56/26.00 tff(12518,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12519,plain,
% 39.56/26.00 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12520,plain,
% 39.56/26.00 (((~![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))))),
% 39.56/26.00 inference(monotonicity,[status(thm)],[12519])).
% 39.56/26.00 tff(12521,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(transitivity,[status(thm)],[12520, 12518])).
% 39.56/26.00 tff(12522,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12523,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12522, 12521])).
% 39.56/26.00 tff(12524,plain,
% 39.56/26.00 (v110(constB96) | (~v108(constB95))),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12523, 337, 12517])).
% 39.56/26.00 tff(12525,plain,
% 39.56/26.00 (v110(constB96)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12524, 12514])).
% 39.56/26.00 tff(12526,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12527,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12528,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12527, 12526])).
% 39.56/26.00 tff(12529,plain,
% 39.56/26.00 (~v104(constB96)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12528, 355, 12517, 12400])).
% 39.56/26.00 tff(12530,plain,
% 39.56/26.00 (((~![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))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12531,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12532,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12531, 12530])).
% 39.56/26.00 tff(12533,plain,
% 39.56/26.00 (v102(constB96) | v104(constB96)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12532, 369, 12517])).
% 39.56/26.00 tff(12534,plain,
% 39.56/26.00 (v102(constB96)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12533, 12529])).
% 39.56/26.00 tff(12535,plain,
% 39.56/26.00 (v1(constB96) <=> v1(constB96)),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12536,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 39.56/26.00 tff(12537,plain,
% 39.56/26.00 (v1(constB96)),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12536, 12535])).
% 39.56/26.00 tff(12538,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12539,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 39.56/26.00 inference(quant_inst,[status(thm)],[])).
% 39.56/26.00 tff(12540,plain,
% 39.56/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))),
% 39.56/26.00 inference(modus_ponens,[status(thm)],[12539, 12538])).
% 39.56/26.00 tff(12541,plain,
% 39.56/26.00 (v101(constB96) | (~v102(constB96))),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12540, 387, 12517, 12537])).
% 39.56/26.00 tff(12542,plain,
% 39.56/26.00 (v101(constB96)),
% 39.56/26.00 inference(unit_resolution,[status(thm)],[12541, 12534])).
% 39.56/26.00 tff(12543,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12544,plain,
% 39.56/26.00 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 39.56/26.00 inference(rewrite,[status(thm)],[])).
% 39.56/26.00 tff(12545,plain,
% 39.56/26.00 (((~![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))))),
% 39.56/26.00 inference(monotonicity,[status(thm)],[12544])).
% 39.56/26.00 tff(12546,plain,
% 39.56/26.00 (((~![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)))),
% 39.56/26.01 inference(transitivity,[status(thm)],[12545, 12543])).
% 39.56/26.01 tff(12547,plain,
% 39.56/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12548,plain,
% 39.56/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12547, 12546])).
% 39.56/26.01 tff(12549,plain,
% 39.56/26.01 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12548, 402, 12517])).
% 39.56/26.01 tff(12550,plain,
% 39.56/26.01 (v100(constB96) | (~v110(constB96))),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12549, 12542])).
% 39.56/26.01 tff(12551,plain,
% 39.56/26.01 (v100(constB96)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12550, 12525])).
% 39.56/26.01 tff(12552,plain,
% 39.56/26.01 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12553,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12554,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12553, 12552])).
% 39.56/26.01 tff(12555,plain,
% 39.56/26.01 (v130(constB95, bitIndex1)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12554, 2347, 12493])).
% 39.56/26.01 tff(12556,plain,
% 39.56/26.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12557,plain,
% 39.56/26.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12558,plain,
% 39.56/26.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12557, 12556])).
% 39.56/26.01 tff(12559,plain,
% 39.56/26.01 ((~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12558, 882, 12505])).
% 39.56/26.01 tff(12560,plain,
% 39.56/26.01 (v127(constB95, bitIndex1)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12559, 12555])).
% 39.56/26.01 tff(12561,plain,
% 39.56/26.01 (((~![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))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12562,plain,
% 39.56/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12563,plain,
% 39.56/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12562, 12561])).
% 39.56/26.01 tff(12564,plain,
% 39.56/26.01 ((~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12563, 897, 12517])).
% 39.56/26.01 tff(12565,plain,
% 39.56/26.01 (v129(constB96, bitIndex1)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12564, 12560])).
% 39.56/26.01 tff(12566,plain,
% 39.56/26.01 (((~![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)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12567,plain,
% 39.56/26.01 ((v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1))) <=> (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12568,plain,
% 39.56/26.01 (((~![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))))),
% 39.56/26.01 inference(monotonicity,[status(thm)],[12567])).
% 39.56/26.01 tff(12569,plain,
% 39.56/26.01 (((~![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)))),
% 39.56/26.01 inference(transitivity,[status(thm)],[12568, 12566])).
% 39.56/26.01 tff(12570,plain,
% 39.56/26.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12571,plain,
% 39.56/26.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12570, 12569])).
% 39.56/26.01 tff(12572,plain,
% 39.56/26.01 (v90(constB96, bitIndex1) | (~v100(constB96))),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12571, 912, 12565])).
% 39.56/26.01 tff(12573,plain,
% 39.56/26.01 (v90(constB96, bitIndex1)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12572, 12551])).
% 39.56/26.01 tff(12574,plain,
% 39.56/26.01 ((~v1(constB97)) <=> (~v1(constB97))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12575,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 39.56/26.01 tff(12576,plain,
% 39.56/26.01 (~v1(constB97)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12575, 12574])).
% 39.56/26.01 tff(12577,plain,
% 39.56/26.01 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12578,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 39.56/26.01 tff(12579,plain,
% 39.56/26.01 (nextState(constB96, constB97)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12578, 12577])).
% 39.56/26.01 tff(12580,plain,
% 39.56/26.01 (((~![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)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12581,plain,
% 39.56/26.01 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12582,plain,
% 39.56/26.01 (((~![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))))),
% 39.56/26.01 inference(monotonicity,[status(thm)],[12581])).
% 39.56/26.01 tff(12583,plain,
% 39.56/26.01 (((~![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)))),
% 39.56/26.01 inference(transitivity,[status(thm)],[12582, 12580])).
% 39.56/26.01 tff(12584,plain,
% 39.56/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12585,plain,
% 39.56/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12584, 12583])).
% 39.56/26.01 tff(12586,plain,
% 39.56/26.01 (~v101(constB97)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12585, 133, 12579, 12576])).
% 39.56/26.01 tff(12587,plain,
% 39.56/26.01 (((~![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)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12588,plain,
% 39.56/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12589,plain,
% 39.56/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12588, 12587])).
% 39.56/26.01 tff(12590,plain,
% 39.56/26.01 (v101(constB97) | (~v100(constB97))),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12589, 150, 12579])).
% 39.56/26.01 tff(12591,plain,
% 39.56/26.01 (~v100(constB97)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12590, 12586])).
% 39.56/26.01 tff(12592,plain,
% 39.56/26.01 (((~![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))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12593,plain,
% 39.56/26.01 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1)) <=> ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12594,plain,
% 39.56/26.01 (((~![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)))),
% 39.56/26.01 inference(monotonicity,[status(thm)],[12593])).
% 39.56/26.01 tff(12595,plain,
% 39.56/26.01 (((~![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))),
% 39.56/26.01 inference(transitivity,[status(thm)],[12594, 12592])).
% 39.56/26.01 tff(12596,plain,
% 39.56/26.01 ((~![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))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12597,plain,
% 39.56/26.01 ((~![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)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12596, 12595])).
% 39.56/26.01 tff(12598,plain,
% 39.56/26.01 ((~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12597, 1049, 12579])).
% 39.56/26.01 tff(12599,plain,
% 39.56/26.01 ((~v90(constB96, bitIndex1)) | v90(constB97, bitIndex1)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12598, 12591])).
% 39.56/26.01 tff(12600,plain,
% 39.56/26.01 (v90(constB97, bitIndex1)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12599, 12573])).
% 39.56/26.01 tff(12601,plain,
% 39.56/26.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v124(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v124(constB97)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12602,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v124(constB97)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12603,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v124(constB97))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12602, 12601])).
% 39.56/26.01 tff(12604,plain,
% 39.56/26.01 (~v124(constB97)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12603, 2637, 12600])).
% 39.56/26.01 tff(12605,plain,
% 39.56/26.01 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB95)) | v130(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB95)) | v130(constB95, bitIndex2))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12606,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB95)) | v130(constB95, bitIndex2))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12607,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB95)) | v130(constB95, bitIndex2)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12606, 12605])).
% 39.56/26.01 tff(12608,plain,
% 39.56/26.01 (v130(constB95, bitIndex2)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12607, 2303, 12493])).
% 39.56/26.01 tff(12609,plain,
% 39.56/26.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12610,plain,
% 39.56/26.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12611,plain,
% 39.56/26.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12610, 12609])).
% 39.56/26.01 tff(12612,plain,
% 39.56/26.01 ((~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12611, 1821, 12505])).
% 39.56/26.01 tff(12613,plain,
% 39.56/26.01 (v127(constB95, bitIndex2)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12612, 12608])).
% 39.56/26.01 tff(12614,plain,
% 39.56/26.01 (((~![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))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12615,plain,
% 39.56/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12616,plain,
% 39.56/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 39.56/26.01 tff(12617,plain,
% 39.56/26.01 ((~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12616, 1836, 12517])).
% 39.56/26.01 tff(12618,plain,
% 39.56/26.01 (v129(constB96, bitIndex2)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12617, 12613])).
% 39.56/26.01 tff(12619,plain,
% 39.56/26.01 (((~![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)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12620,plain,
% 39.56/26.01 ((v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2))) <=> (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12621,plain,
% 39.56/26.01 (((~![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))))),
% 39.56/26.01 inference(monotonicity,[status(thm)],[12620])).
% 39.56/26.01 tff(12622,plain,
% 39.56/26.01 (((~![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)))),
% 39.56/26.01 inference(transitivity,[status(thm)],[12621, 12619])).
% 39.56/26.01 tff(12623,plain,
% 39.56/26.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12624,plain,
% 39.56/26.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12623, 12622])).
% 39.56/26.01 tff(12625,plain,
% 39.56/26.01 (v90(constB96, bitIndex2) | (~v100(constB96))),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12624, 2100, 12618])).
% 39.56/26.01 tff(12626,plain,
% 39.56/26.01 (v90(constB96, bitIndex2)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12625, 12551])).
% 39.56/26.01 tff(12627,plain,
% 39.56/26.01 (((~![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))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12628,plain,
% 39.56/26.01 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2)) <=> ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12629,plain,
% 39.56/26.01 (((~![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)))),
% 39.56/26.01 inference(monotonicity,[status(thm)],[12628])).
% 39.56/26.01 tff(12630,plain,
% 39.56/26.01 (((~![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))),
% 39.56/26.01 inference(transitivity,[status(thm)],[12629, 12627])).
% 39.56/26.01 tff(12631,plain,
% 39.56/26.01 ((~![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))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12632,plain,
% 39.56/26.01 ((~![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)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12631, 12630])).
% 39.56/26.01 tff(12633,plain,
% 39.56/26.01 ((~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12632, 2118, 12579])).
% 39.56/26.01 tff(12634,plain,
% 39.56/26.01 ((~v90(constB96, bitIndex2)) | v90(constB97, bitIndex2)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12633, 12591])).
% 39.56/26.01 tff(12635,plain,
% 39.56/26.01 (v90(constB97, bitIndex2)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12634, 12626])).
% 39.56/26.01 tff(12636,plain,
% 39.56/26.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v122(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v122(constB97)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12637,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v122(constB97)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12638,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v122(constB97))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12637, 12636])).
% 39.56/26.01 tff(12639,plain,
% 39.56/26.01 (~v122(constB97)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12638, 3526, 12635])).
% 39.56/26.01 tff(12640,plain,
% 39.56/26.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v120(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v120(constB97)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12641,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v120(constB97)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12642,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v120(constB97))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12641, 12640])).
% 39.56/26.01 tff(12643,plain,
% 39.56/26.01 (~v120(constB97)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12642, 2615, 12600])).
% 39.56/26.01 tff(12644,plain,
% 39.56/26.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v121(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v121(constB97)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12645,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v121(constB97)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12646,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v121(constB97))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12645, 12644])).
% 39.56/26.01 tff(12647,plain,
% 39.56/26.01 (~v121(constB97)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12646, 2586, 12635])).
% 39.56/26.01 tff(12648,plain,
% 39.56/26.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v123(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v123(constB97)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12649,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v123(constB97)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12650,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v123(constB97))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12649, 12648])).
% 39.56/26.01 tff(12651,plain,
% 39.56/26.01 (~v123(constB97)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12650, 2626, 12600])).
% 39.56/26.01 tff(12652,plain,
% 39.56/26.01 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB97)) | (~v90(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB97)) | (~v90(constB97, bitIndex1)))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12653,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB97)) | (~v90(constB97, bitIndex1)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12654,plain,
% 39.56/26.01 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB97)) | (~v90(constB97, bitIndex1))),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12653, 12652])).
% 39.56/26.01 tff(12655,plain,
% 39.56/26.01 (~v119(constB97)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12654, 2604, 12600])).
% 39.56/26.01 tff(12656,plain,
% 39.56/26.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB97, bitIndex2)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB97, bitIndex2)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12657,plain,
% 39.56/26.01 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2))) <=> ((~v130(constB97, bitIndex2)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12658,plain,
% 39.56/26.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB97, bitIndex2)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97)))),
% 39.56/26.01 inference(monotonicity,[status(thm)],[12657])).
% 39.56/26.01 tff(12659,plain,
% 39.56/26.01 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB97, bitIndex2)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97))),
% 39.56/26.01 inference(transitivity,[status(thm)],[12658, 12656])).
% 39.56/26.01 tff(12660,plain,
% 39.56/26.01 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12661,plain,
% 39.56/26.01 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB97, bitIndex2)) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 39.56/26.01 tff(12662,plain,
% 39.56/26.01 (~v130(constB97, bitIndex2)),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12661, 1993, 12655, 12651, 12647, 12643, 12639, 12604])).
% 39.56/26.01 tff(12663,assumption,(v26(constB97)), introduced(assumption)).
% 39.56/26.01 tff(12664,plain,
% 39.56/26.01 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12665,plain,
% 39.56/26.01 ($false),
% 39.56/26.01 inference(unit_resolution,[status(thm)],[12664, 86, 12663])).
% 39.56/26.01 tff(12666,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 39.56/26.01 tff(12667,plain,
% 39.56/26.01 (((~![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))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12668,plain,
% 39.56/26.01 ((v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2))) <=> ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 39.56/26.01 inference(rewrite,[status(thm)],[])).
% 39.56/26.01 tff(12669,plain,
% 39.56/26.01 (((~![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)))),
% 39.56/26.01 inference(monotonicity,[status(thm)],[12668])).
% 39.56/26.01 tff(12670,plain,
% 39.56/26.01 (((~![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))),
% 39.56/26.01 inference(transitivity,[status(thm)],[12669, 12667])).
% 39.56/26.01 tff(12671,plain,
% 39.56/26.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))),
% 39.56/26.01 inference(quant_inst,[status(thm)],[])).
% 39.56/26.01 tff(12672,plain,
% 39.56/26.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)),
% 39.56/26.01 inference(modus_ponens,[status(thm)],[12671, 12670])).
% 39.56/26.02 tff(12673,plain,
% 39.56/26.02 ((~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12672, 435, 12666])).
% 39.56/26.02 tff(12674,plain,
% 39.56/26.02 (~v127(constB97, bitIndex2)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12673, 12662])).
% 39.56/26.02 tff(12675,plain,
% 39.56/26.02 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12676,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 39.56/26.02 tff(12677,plain,
% 39.56/26.02 (nextState(constB97, constB98)),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12676, 12675])).
% 39.56/26.02 tff(12678,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12679,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12680,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 39.56/26.02 tff(12681,plain,
% 39.56/26.02 (v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12680, 453, 12677])).
% 39.56/26.02 tff(12682,plain,
% 39.56/26.02 (~v129(constB98, bitIndex2)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12681, 12674])).
% 39.56/26.02 tff(12683,plain,
% 39.56/26.02 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB95)) | (~v130(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB95)) | (~v130(constB95, bitIndex0)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12684,plain,
% 39.56/26.02 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB95)) | (~v130(constB95, bitIndex0)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12685,plain,
% 39.56/26.02 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB95)) | (~v130(constB95, bitIndex0))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12684, 12683])).
% 39.56/26.02 tff(12686,plain,
% 39.56/26.02 (~v130(constB95, bitIndex0)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12685, 1519, 12493])).
% 39.56/26.02 tff(12687,plain,
% 39.56/26.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12688,plain,
% 39.56/26.02 ((v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0))) <=> ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12689,plain,
% 39.56/26.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0)))),
% 39.56/26.02 inference(monotonicity,[status(thm)],[12688])).
% 39.56/26.02 tff(12690,plain,
% 39.56/26.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 39.56/26.02 inference(transitivity,[status(thm)],[12689, 12687])).
% 39.56/26.02 tff(12691,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12692,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0)),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12691, 12690])).
% 39.56/26.02 tff(12693,plain,
% 39.56/26.02 ((~v127(constB95, bitIndex0)) | v130(constB95, bitIndex0)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12692, 944, 12505])).
% 39.56/26.02 tff(12694,plain,
% 39.56/26.02 (~v127(constB95, bitIndex0)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12693, 12686])).
% 39.56/26.02 tff(12695,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12696,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12697,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12696, 12695])).
% 39.56/26.02 tff(12698,plain,
% 39.56/26.02 (v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0))),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12697, 962, 12517])).
% 39.56/26.02 tff(12699,plain,
% 39.56/26.02 (~v129(constB96, bitIndex0)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12698, 12694])).
% 39.56/26.02 tff(12700,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12701,plain,
% 39.56/26.02 (((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0)) <=> ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12702,plain,
% 39.56/26.02 (((~![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))))),
% 39.56/26.02 inference(monotonicity,[status(thm)],[12701])).
% 39.56/26.02 tff(12703,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(transitivity,[status(thm)],[12702, 12700])).
% 39.56/26.02 tff(12704,plain,
% 39.56/26.02 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12705,plain,
% 39.56/26.02 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12704, 12703])).
% 39.56/26.02 tff(12706,plain,
% 39.56/26.02 ((~v90(constB96, bitIndex0)) | (~v100(constB96))),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12705, 977, 12699])).
% 39.56/26.02 tff(12707,plain,
% 39.56/26.02 (~v90(constB96, bitIndex0)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12706, 12551])).
% 39.56/26.02 tff(12708,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12709,plain,
% 39.56/26.02 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0))) <=> (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12710,plain,
% 39.56/26.02 (((~![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))))),
% 39.56/26.02 inference(monotonicity,[status(thm)],[12709])).
% 39.56/26.02 tff(12711,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(transitivity,[status(thm)],[12710, 12708])).
% 39.56/26.02 tff(12712,plain,
% 39.56/26.02 ((~![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)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12713,plain,
% 39.56/26.02 ((~![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))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12712, 12711])).
% 39.56/26.02 tff(12714,plain,
% 39.56/26.02 (v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0))),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12713, 207, 12579])).
% 39.56/26.02 tff(12715,plain,
% 39.56/26.02 (v90(constB96, bitIndex0) | (~v90(constB97, bitIndex0))),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12714, 12591])).
% 39.56/26.02 tff(12716,plain,
% 39.56/26.02 (~v90(constB97, bitIndex0)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12715, 12707])).
% 39.56/26.02 tff(12717,plain,
% 39.56/26.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12718,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12719,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97)),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12718, 12717])).
% 39.56/26.02 tff(12720,plain,
% 39.56/26.02 (v125(constB97)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12719, 1308, 12716, 12600, 12635])).
% 39.56/26.02 tff(12721,plain,
% 39.56/26.02 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB97) | (~v125(constB97)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB97) | (~v125(constB97)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12722,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB97) | (~v125(constB97)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12723,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB97) | (~v125(constB97))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12722, 12721])).
% 39.56/26.02 tff(12724,plain,
% 39.56/26.02 (v113(constB97)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12723, 1294, 12720])).
% 39.56/26.02 tff(12725,assumption,(~v108(constB97)), introduced(assumption)).
% 39.56/26.02 tff(12726,plain,
% 39.56/26.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12727,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12728,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12727, 12726])).
% 39.56/26.02 tff(12729,plain,
% 39.56/26.02 (~v112(constB97)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12728, 320, 12725])).
% 39.56/26.02 tff(12730,plain,
% 39.56/26.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB97) | (~v26(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB97) | (~v26(constB97)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12731,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB97) | (~v26(constB97)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12732,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB97) | (~v26(constB97))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12731, 12730])).
% 39.56/26.02 tff(12733,plain,
% 39.56/26.02 (~v26(constB97)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12732, 766, 12725])).
% 39.56/26.02 tff(12734,assumption,(v113(constB97)), introduced(assumption)).
% 39.56/26.02 tff(12735,plain,
% 39.56/26.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12736,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12737,plain,
% 39.56/26.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97)),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12736, 12735])).
% 39.56/26.02 tff(12738,plain,
% 39.56/26.02 (v26(constB97) | v112(constB97)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12737, 308, 12734])).
% 39.56/26.02 tff(12739,plain,
% 39.56/26.02 ($false),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12738, 12733, 12729])).
% 39.56/26.02 tff(12740,plain,(v108(constB97) | (~v113(constB97))), inference(lemma,lemma(discharge,[]))).
% 39.56/26.02 tff(12741,plain,
% 39.56/26.02 (v108(constB97)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12740, 12724])).
% 39.56/26.02 tff(12742,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12743,plain,
% 39.56/26.02 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12744,plain,
% 39.56/26.02 (((~![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))))),
% 39.56/26.02 inference(monotonicity,[status(thm)],[12743])).
% 39.56/26.02 tff(12745,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(transitivity,[status(thm)],[12744, 12742])).
% 39.56/26.02 tff(12746,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12747,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12746, 12745])).
% 39.56/26.02 tff(12748,plain,
% 39.56/26.02 (v110(constB98) | (~v108(constB97))),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12747, 337, 12677])).
% 39.56/26.02 tff(12749,plain,
% 39.56/26.02 (v110(constB98)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12748, 12741])).
% 39.56/26.02 tff(12750,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12751,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12752,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12751, 12750])).
% 39.56/26.02 tff(12753,plain,
% 39.56/26.02 (~v104(constB98)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12752, 355, 12677, 12576])).
% 39.56/26.02 tff(12754,plain,
% 39.56/26.02 (((~![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))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12755,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12756,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12755, 12754])).
% 39.56/26.02 tff(12757,plain,
% 39.56/26.02 (v102(constB98) | v104(constB98)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12756, 369, 12677])).
% 39.56/26.02 tff(12758,plain,
% 39.56/26.02 (v102(constB98)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12757, 12753])).
% 39.56/26.02 tff(12759,plain,
% 39.56/26.02 (v1(constB98) <=> v1(constB98)),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12760,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 39.56/26.02 tff(12761,plain,
% 39.56/26.02 (v1(constB98)),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12760, 12759])).
% 39.56/26.02 tff(12762,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12763,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12764,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12763, 12762])).
% 39.56/26.02 tff(12765,plain,
% 39.56/26.02 (v101(constB98) | (~v102(constB98))),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12764, 387, 12677, 12761])).
% 39.56/26.02 tff(12766,plain,
% 39.56/26.02 (v101(constB98)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12765, 12758])).
% 39.56/26.02 tff(12767,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12768,plain,
% 39.56/26.02 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12769,plain,
% 39.56/26.02 (((~![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))))),
% 39.56/26.02 inference(monotonicity,[status(thm)],[12768])).
% 39.56/26.02 tff(12770,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(transitivity,[status(thm)],[12769, 12767])).
% 39.56/26.02 tff(12771,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12772,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12771, 12770])).
% 39.56/26.02 tff(12773,plain,
% 39.56/26.02 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12772, 402, 12677])).
% 39.56/26.02 tff(12774,plain,
% 39.56/26.02 (v100(constB98) | (~v110(constB98))),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12773, 12766])).
% 39.56/26.02 tff(12775,plain,
% 39.56/26.02 (v100(constB98)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12774, 12749])).
% 39.56/26.02 tff(12776,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12777,plain,
% 39.56/26.02 (((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2)) <=> ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12778,plain,
% 39.56/26.02 (((~![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))))),
% 39.56/26.02 inference(monotonicity,[status(thm)],[12777])).
% 39.56/26.02 tff(12779,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(transitivity,[status(thm)],[12778, 12776])).
% 39.56/26.02 tff(12780,plain,
% 39.56/26.02 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12781,plain,
% 39.56/26.02 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12780, 12779])).
% 39.56/26.02 tff(12782,plain,
% 39.56/26.02 (~v90(constB98, bitIndex2)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12781, 468, 12775, 12682])).
% 39.56/26.02 tff(12783,plain,
% 39.56/26.02 ((~v1(constB99)) <=> (~v1(constB99))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12784,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 39.56/26.02 tff(12785,plain,
% 39.56/26.02 (~v1(constB99)),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12784, 12783])).
% 39.56/26.02 tff(12786,plain,
% 39.56/26.02 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12787,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 39.56/26.02 tff(12788,plain,
% 39.56/26.02 (nextState(constB98, constB99)),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12787, 12786])).
% 39.56/26.02 tff(12789,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12790,plain,
% 39.56/26.02 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12791,plain,
% 39.56/26.02 (((~![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))))),
% 39.56/26.02 inference(monotonicity,[status(thm)],[12790])).
% 39.56/26.02 tff(12792,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(transitivity,[status(thm)],[12791, 12789])).
% 39.56/26.02 tff(12793,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12794,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12793, 12792])).
% 39.56/26.02 tff(12795,plain,
% 39.56/26.02 (~v101(constB99)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12794, 133, 12788, 12785])).
% 39.56/26.02 tff(12796,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12797,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 39.56/26.02 inference(quant_inst,[status(thm)],[])).
% 39.56/26.02 tff(12798,plain,
% 39.56/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 39.56/26.02 inference(modus_ponens,[status(thm)],[12797, 12796])).
% 39.56/26.02 tff(12799,plain,
% 39.56/26.02 (v101(constB99) | (~v100(constB99))),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12798, 150, 12788])).
% 39.56/26.02 tff(12800,plain,
% 39.56/26.02 (~v100(constB99)),
% 39.56/26.02 inference(unit_resolution,[status(thm)],[12799, 12795])).
% 39.56/26.02 tff(12801,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12802,plain,
% 39.56/26.02 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))) <=> (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 39.56/26.02 inference(rewrite,[status(thm)],[])).
% 39.56/26.02 tff(12803,plain,
% 39.56/26.02 (((~![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))))),
% 39.56/26.02 inference(monotonicity,[status(thm)],[12802])).
% 39.56/26.02 tff(12804,plain,
% 39.56/26.02 (((~![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)))),
% 39.56/26.03 inference(transitivity,[status(thm)],[12803, 12801])).
% 39.56/26.03 tff(12805,plain,
% 39.56/26.03 ((~![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)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12806,plain,
% 39.56/26.03 ((~![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))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12805, 12804])).
% 39.56/26.03 tff(12807,plain,
% 39.56/26.03 (v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12806, 165, 12788])).
% 39.56/26.03 tff(12808,plain,
% 39.56/26.03 (v90(constB98, bitIndex2) | (~v90(constB99, bitIndex2))),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12807, 12800])).
% 39.56/26.03 tff(12809,plain,
% 39.56/26.03 (~v90(constB99, bitIndex2)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12808, 12782])).
% 39.56/26.03 tff(12810,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12811,plain,
% 39.56/26.03 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1))) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12812,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1))))),
% 39.56/26.03 inference(monotonicity,[status(thm)],[12811])).
% 39.56/26.03 tff(12813,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))),
% 39.56/26.03 inference(transitivity,[status(thm)],[12812, 12810])).
% 39.56/26.03 tff(12814,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12815,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12814, 12813])).
% 39.56/26.03 tff(12816,plain,
% 39.56/26.03 (~v130(constB97, bitIndex1)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12815, 1562, 12655, 12651, 12647, 12643, 12639, 12604])).
% 39.56/26.03 tff(12817,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12818,plain,
% 39.56/26.03 ((v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1))) <=> ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12819,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1)))),
% 39.56/26.03 inference(monotonicity,[status(thm)],[12818])).
% 39.56/26.03 tff(12820,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 39.56/26.03 inference(transitivity,[status(thm)],[12819, 12817])).
% 39.56/26.03 tff(12821,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12822,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1)),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12821, 12820])).
% 39.56/26.03 tff(12823,plain,
% 39.56/26.03 ((~v127(constB97, bitIndex1)) | v130(constB97, bitIndex1)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12822, 527, 12666])).
% 39.56/26.03 tff(12824,plain,
% 39.56/26.03 (~v127(constB97, bitIndex1)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12823, 12816])).
% 39.56/26.03 tff(12825,plain,
% 39.56/26.03 (((~![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)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12826,plain,
% 39.56/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12827,plain,
% 39.56/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12826, 12825])).
% 39.56/26.03 tff(12828,plain,
% 39.56/26.03 (v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1))),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12827, 545, 12677])).
% 39.56/26.03 tff(12829,plain,
% 39.56/26.03 (~v129(constB98, bitIndex1)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12828, 12824])).
% 39.56/26.03 tff(12830,plain,
% 39.56/26.03 (((~![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)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12831,plain,
% 39.56/26.03 (((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1)) <=> ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12832,plain,
% 39.56/26.03 (((~![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))))),
% 39.56/26.03 inference(monotonicity,[status(thm)],[12831])).
% 39.56/26.03 tff(12833,plain,
% 39.56/26.03 (((~![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)))),
% 39.56/26.03 inference(transitivity,[status(thm)],[12832, 12830])).
% 39.56/26.03 tff(12834,plain,
% 39.56/26.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12835,plain,
% 39.56/26.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12834, 12833])).
% 39.56/26.03 tff(12836,plain,
% 39.56/26.03 (~v90(constB98, bitIndex1)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12835, 560, 12775, 12829])).
% 39.56/26.03 tff(12837,plain,
% 39.56/26.03 (((~![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)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12838,plain,
% 39.56/26.03 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))) <=> (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12839,plain,
% 39.56/26.03 (((~![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))))),
% 39.56/26.03 inference(monotonicity,[status(thm)],[12838])).
% 39.56/26.03 tff(12840,plain,
% 39.56/26.03 (((~![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)))),
% 39.56/26.03 inference(transitivity,[status(thm)],[12839, 12837])).
% 39.56/26.03 tff(12841,plain,
% 39.56/26.03 ((~![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)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12842,plain,
% 39.56/26.03 ((~![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))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12841, 12840])).
% 39.56/26.03 tff(12843,plain,
% 39.56/26.03 (v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12842, 186, 12788])).
% 39.56/26.03 tff(12844,plain,
% 39.56/26.03 (v90(constB98, bitIndex1) | (~v90(constB99, bitIndex1))),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12843, 12800])).
% 39.56/26.03 tff(12845,plain,
% 39.56/26.03 (~v90(constB99, bitIndex1)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12844, 12836])).
% 39.56/26.03 tff(12846,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12847,plain,
% 39.56/26.03 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0)) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12848,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0)))),
% 39.56/26.03 inference(monotonicity,[status(thm)],[12847])).
% 39.56/26.03 tff(12849,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 39.56/26.03 inference(transitivity,[status(thm)],[12848, 12846])).
% 39.56/26.03 tff(12850,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12851,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0)),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12850, 12849])).
% 39.56/26.03 tff(12852,plain,
% 39.56/26.03 (v130(constB97, bitIndex0)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12851, 2753, 12655, 12651, 12647, 12643, 12639, 12604])).
% 39.56/26.03 tff(12853,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12854,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12855,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 39.56/26.03 tff(12856,plain,
% 39.56/26.03 ((~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12855, 601, 12666])).
% 39.56/26.03 tff(12857,plain,
% 39.56/26.03 (v127(constB97, bitIndex0)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12856, 12852])).
% 39.56/26.03 tff(12858,plain,
% 39.56/26.03 (((~![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))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12859,plain,
% 39.56/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12860,plain,
% 39.56/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 39.56/26.03 tff(12861,plain,
% 39.56/26.03 ((~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12860, 616, 12677])).
% 39.56/26.03 tff(12862,plain,
% 39.56/26.03 (v129(constB98, bitIndex0)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12861, 12857])).
% 39.56/26.03 tff(12863,plain,
% 39.56/26.03 (((~![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)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12864,plain,
% 39.56/26.03 ((v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0))) <=> (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12865,plain,
% 39.56/26.03 (((~![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))))),
% 39.56/26.03 inference(monotonicity,[status(thm)],[12864])).
% 39.56/26.03 tff(12866,plain,
% 39.56/26.03 (((~![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)))),
% 39.56/26.03 inference(transitivity,[status(thm)],[12865, 12863])).
% 39.56/26.03 tff(12867,plain,
% 39.56/26.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12868,plain,
% 39.56/26.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12867, 12866])).
% 39.56/26.03 tff(12869,plain,
% 39.56/26.03 (v90(constB98, bitIndex0)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12868, 631, 12775, 12862])).
% 39.56/26.03 tff(12870,plain,
% 39.56/26.03 (((~![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))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12871,plain,
% 39.56/26.03 (((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)) <=> ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12872,plain,
% 39.56/26.03 (((~![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)))),
% 39.56/26.03 inference(monotonicity,[status(thm)],[12871])).
% 39.56/26.03 tff(12873,plain,
% 39.56/26.03 (((~![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))),
% 39.56/26.03 inference(transitivity,[status(thm)],[12872, 12870])).
% 39.56/26.03 tff(12874,plain,
% 39.56/26.03 ((~![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))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12875,plain,
% 39.56/26.03 ((~![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)),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12874, 12873])).
% 39.56/26.03 tff(12876,plain,
% 39.56/26.03 ((~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12875, 649, 12788])).
% 39.56/26.03 tff(12877,plain,
% 39.56/26.03 ((~v90(constB98, bitIndex0)) | v90(constB99, bitIndex0)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12876, 12800])).
% 39.56/26.03 tff(12878,plain,
% 39.56/26.03 (v90(constB99, bitIndex0)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12877, 12869])).
% 39.56/26.03 tff(12879,plain,
% 39.56/26.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12880,plain,
% 39.56/26.03 (((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2)) <=> ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12881,plain,
% 39.56/26.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99)))),
% 39.56/26.03 inference(monotonicity,[status(thm)],[12880])).
% 39.56/26.03 tff(12882,plain,
% 39.56/26.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 39.56/26.03 inference(transitivity,[status(thm)],[12881, 12879])).
% 39.56/26.03 tff(12883,plain,
% 39.56/26.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12884,plain,
% 39.56/26.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99)),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 39.56/26.03 tff(12885,plain,
% 39.56/26.03 (v120(constB99)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12884, 668, 12878, 12845, 12809])).
% 39.56/26.03 tff(12886,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB99) | (~v120(constB99)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB99) | (~v120(constB99)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12887,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB99) | (~v120(constB99)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12888,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB99) | (~v120(constB99))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12887, 12886])).
% 39.56/26.03 tff(12889,plain,
% 39.56/26.03 (v118(constB99)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12888, 778, 12885])).
% 39.56/26.03 tff(12890,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB99) | (~v118(constB99)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB99) | (~v118(constB99)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12891,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB99) | (~v118(constB99)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12892,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB99) | (~v118(constB99))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12891, 12890])).
% 39.56/26.03 tff(12893,plain,
% 39.56/26.03 (v117(constB99)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12892, 250, 12889])).
% 39.56/26.03 tff(12894,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12895,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12896,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12895, 12894])).
% 39.56/26.03 tff(12897,plain,
% 39.56/26.03 (v116(constB99)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12896, 261, 12893])).
% 39.56/26.03 tff(12898,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12899,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12900,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12899, 12898])).
% 39.56/26.03 tff(12901,plain,
% 39.56/26.03 (v115(constB99)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12900, 272, 12897])).
% 39.56/26.03 tff(12902,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12903,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12904,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12903, 12902])).
% 39.56/26.03 tff(12905,plain,
% 39.56/26.03 (v114(constB99)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12904, 283, 12901])).
% 39.56/26.03 tff(12906,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12907,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12908,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12907, 12906])).
% 39.56/26.03 tff(12909,plain,
% 39.56/26.03 (v113(constB99)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12908, 294, 12905])).
% 39.56/26.03 tff(12910,assumption,(v26(constB99)), introduced(assumption)).
% 39.56/26.03 tff(12911,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12912,plain,
% 39.56/26.03 ($false),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12911, 86, 12910])).
% 39.56/26.03 tff(12913,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 39.56/26.03 tff(12914,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12915,plain,
% 39.56/26.03 ((v26(constB99) | (~v113(constB99)) | v112(constB99)) <=> (v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12916,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99))))),
% 39.56/26.03 inference(monotonicity,[status(thm)],[12915])).
% 39.56/26.03 tff(12917,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 39.56/26.03 inference(transitivity,[status(thm)],[12916, 12914])).
% 39.56/26.03 tff(12918,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12919,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12918, 12917])).
% 39.56/26.03 tff(12920,plain,
% 39.56/26.03 (v112(constB99) | (~v113(constB99))),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12919, 308, 12913])).
% 39.56/26.03 tff(12921,plain,
% 39.56/26.03 (v112(constB99)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12920, 12909])).
% 39.56/26.03 tff(12922,plain,
% 39.56/26.03 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12923,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))),
% 39.56/26.03 inference(quant_inst,[status(thm)],[])).
% 39.56/26.03 tff(12924,plain,
% 39.56/26.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99))),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12923, 12922])).
% 39.56/26.03 tff(12925,plain,
% 39.56/26.03 (v108(constB99)),
% 39.56/26.03 inference(unit_resolution,[status(thm)],[12924, 320, 12921])).
% 39.56/26.03 tff(12926,plain,
% 39.56/26.03 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12927,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 39.56/26.03 tff(12928,plain,
% 39.56/26.03 (nextState(constB99, constB100)),
% 39.56/26.03 inference(modus_ponens,[status(thm)],[12927, 12926])).
% 39.56/26.03 tff(12929,plain,
% 39.56/26.03 (((~![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)))),
% 39.56/26.03 inference(rewrite,[status(thm)],[])).
% 39.56/26.03 tff(12930,plain,
% 39.56/26.03 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12931,plain,
% 39.56/26.04 (((~![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))))),
% 39.56/26.04 inference(monotonicity,[status(thm)],[12930])).
% 39.56/26.04 tff(12932,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(transitivity,[status(thm)],[12931, 12929])).
% 39.56/26.04 tff(12933,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(12934,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12933, 12932])).
% 39.56/26.04 tff(12935,plain,
% 39.56/26.04 (v110(constB100) | (~v108(constB99))),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12934, 337, 12928])).
% 39.56/26.04 tff(12936,plain,
% 39.56/26.04 (v110(constB100)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12935, 12925])).
% 39.56/26.04 tff(12937,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12938,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(12939,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 39.56/26.04 tff(12940,plain,
% 39.56/26.04 (~v104(constB100)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12939, 355, 12928, 12785])).
% 39.56/26.04 tff(12941,plain,
% 39.56/26.04 (((~![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))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12942,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(12943,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 39.56/26.04 tff(12944,plain,
% 39.56/26.04 (v102(constB100) | v104(constB100)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12943, 369, 12928])).
% 39.56/26.04 tff(12945,plain,
% 39.56/26.04 (v102(constB100)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12944, 12940])).
% 39.56/26.04 tff(12946,plain,
% 39.56/26.04 (v1(constB100) <=> v1(constB100)),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12947,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 39.56/26.04 tff(12948,plain,
% 39.56/26.04 (v1(constB100)),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12947, 12946])).
% 39.56/26.04 tff(12949,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12950,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(12951,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12950, 12949])).
% 39.56/26.04 tff(12952,plain,
% 39.56/26.04 (v101(constB100) | (~v102(constB100))),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12951, 387, 12928, 12948])).
% 39.56/26.04 tff(12953,plain,
% 39.56/26.04 (v101(constB100)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12952, 12945])).
% 39.56/26.04 tff(12954,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12955,plain,
% 39.56/26.04 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12956,plain,
% 39.56/26.04 (((~![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))))),
% 39.56/26.04 inference(monotonicity,[status(thm)],[12955])).
% 39.56/26.04 tff(12957,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(transitivity,[status(thm)],[12956, 12954])).
% 39.56/26.04 tff(12958,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(12959,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 39.56/26.04 tff(12960,plain,
% 39.56/26.04 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12959, 402, 12928])).
% 39.56/26.04 tff(12961,plain,
% 39.56/26.04 (v100(constB100) | (~v110(constB100))),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12960, 12953])).
% 39.56/26.04 tff(12962,plain,
% 39.56/26.04 (v100(constB100)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12961, 12936])).
% 39.56/26.04 tff(12963,plain,
% 39.56/26.04 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB99)) | (~v130(constB99, bitIndex2)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12964,plain,
% 39.56/26.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex2)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(12965,plain,
% 39.56/26.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB99)) | (~v130(constB99, bitIndex2))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12964, 12963])).
% 39.56/26.04 tff(12966,plain,
% 39.56/26.04 (~v130(constB99, bitIndex2)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12965, 685, 12885])).
% 39.56/26.04 tff(12967,plain,
% 39.56/26.04 (((~![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))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12968,plain,
% 39.56/26.04 ((v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2))) <=> ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12969,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(monotonicity,[status(thm)],[12968])).
% 39.56/26.04 tff(12970,plain,
% 39.56/26.04 (((~![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))),
% 39.56/26.04 inference(transitivity,[status(thm)],[12969, 12967])).
% 39.56/26.04 tff(12971,plain,
% 39.56/26.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(12972,plain,
% 39.56/26.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12971, 12970])).
% 39.56/26.04 tff(12973,plain,
% 39.56/26.04 ((~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12972, 435, 12913])).
% 39.56/26.04 tff(12974,plain,
% 39.56/26.04 (~v127(constB99, bitIndex2)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12973, 12966])).
% 39.56/26.04 tff(12975,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12976,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(12977,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12976, 12975])).
% 39.56/26.04 tff(12978,plain,
% 39.56/26.04 (v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12977, 453, 12928])).
% 39.56/26.04 tff(12979,plain,
% 39.56/26.04 (~v129(constB100, bitIndex2)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12978, 12974])).
% 39.56/26.04 tff(12980,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12981,plain,
% 39.56/26.04 (((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2)) <=> ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12982,plain,
% 39.56/26.04 (((~![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))))),
% 39.56/26.04 inference(monotonicity,[status(thm)],[12981])).
% 39.56/26.04 tff(12983,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(transitivity,[status(thm)],[12982, 12980])).
% 39.56/26.04 tff(12984,plain,
% 39.56/26.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(12985,plain,
% 39.56/26.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12984, 12983])).
% 39.56/26.04 tff(12986,plain,
% 39.56/26.04 ((~v90(constB100, bitIndex2)) | (~v100(constB100))),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12985, 468, 12979])).
% 39.56/26.04 tff(12987,plain,
% 39.56/26.04 (~v90(constB100, bitIndex2)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12986, 12962])).
% 39.56/26.04 tff(12988,plain,
% 39.56/26.04 ((~v1(constB101)) <=> (~v1(constB101))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12989,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 39.56/26.04 tff(12990,plain,
% 39.56/26.04 (~v1(constB101)),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12989, 12988])).
% 39.56/26.04 tff(12991,plain,
% 39.56/26.04 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12992,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 39.56/26.04 tff(12993,plain,
% 39.56/26.04 (nextState(constB100, constB101)),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12992, 12991])).
% 39.56/26.04 tff(12994,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12995,plain,
% 39.56/26.04 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(12996,plain,
% 39.56/26.04 (((~![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))))),
% 39.56/26.04 inference(monotonicity,[status(thm)],[12995])).
% 39.56/26.04 tff(12997,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(transitivity,[status(thm)],[12996, 12994])).
% 39.56/26.04 tff(12998,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(12999,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[12998, 12997])).
% 39.56/26.04 tff(13000,plain,
% 39.56/26.04 (~v101(constB101)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[12999, 133, 12993, 12990])).
% 39.56/26.04 tff(13001,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13002,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(13003,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[13002, 13001])).
% 39.56/26.04 tff(13004,plain,
% 39.56/26.04 (v101(constB101) | (~v100(constB101))),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13003, 150, 12993])).
% 39.56/26.04 tff(13005,plain,
% 39.56/26.04 (~v100(constB101)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13004, 13000])).
% 39.56/26.04 tff(13006,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13007,plain,
% 39.56/26.04 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))) <=> (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13008,plain,
% 39.56/26.04 (((~![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))))),
% 39.56/26.04 inference(monotonicity,[status(thm)],[13007])).
% 39.56/26.04 tff(13009,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(transitivity,[status(thm)],[13008, 13006])).
% 39.56/26.04 tff(13010,plain,
% 39.56/26.04 ((~![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)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(13011,plain,
% 39.56/26.04 ((~![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))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[13010, 13009])).
% 39.56/26.04 tff(13012,plain,
% 39.56/26.04 (v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13011, 165, 12993])).
% 39.56/26.04 tff(13013,plain,
% 39.56/26.04 (v90(constB100, bitIndex2) | (~v90(constB101, bitIndex2))),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13012, 13005])).
% 39.56/26.04 tff(13014,plain,
% 39.56/26.04 (~v90(constB101, bitIndex2)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13013, 12987])).
% 39.56/26.04 tff(13015,plain,
% 39.56/26.04 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB99)) | v130(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB99)) | v130(constB99, bitIndex1))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13016,plain,
% 39.56/26.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB99)) | v130(constB99, bitIndex1))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(13017,plain,
% 39.56/26.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB99)) | v130(constB99, bitIndex1)),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[13016, 13015])).
% 39.56/26.04 tff(13018,plain,
% 39.56/26.04 (v130(constB99, bitIndex1)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13017, 868, 12885])).
% 39.56/26.04 tff(13019,plain,
% 39.56/26.04 (((~![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))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13020,plain,
% 39.56/26.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(13021,plain,
% 39.56/26.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[13020, 13019])).
% 39.56/26.04 tff(13022,plain,
% 39.56/26.04 ((~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13021, 882, 12913])).
% 39.56/26.04 tff(13023,plain,
% 39.56/26.04 (v127(constB99, bitIndex1)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13022, 13018])).
% 39.56/26.04 tff(13024,plain,
% 39.56/26.04 (((~![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))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13025,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(13026,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[13025, 13024])).
% 39.56/26.04 tff(13027,plain,
% 39.56/26.04 ((~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13026, 897, 12928])).
% 39.56/26.04 tff(13028,plain,
% 39.56/26.04 (v129(constB100, bitIndex1)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13027, 13023])).
% 39.56/26.04 tff(13029,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13030,plain,
% 39.56/26.04 ((v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1))) <=> (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13031,plain,
% 39.56/26.04 (((~![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))))),
% 39.56/26.04 inference(monotonicity,[status(thm)],[13030])).
% 39.56/26.04 tff(13032,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(transitivity,[status(thm)],[13031, 13029])).
% 39.56/26.04 tff(13033,plain,
% 39.56/26.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(13034,plain,
% 39.56/26.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 39.56/26.04 tff(13035,plain,
% 39.56/26.04 (v90(constB100, bitIndex1) | (~v100(constB100))),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13034, 912, 13028])).
% 39.56/26.04 tff(13036,plain,
% 39.56/26.04 (v90(constB100, bitIndex1)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13035, 12962])).
% 39.56/26.04 tff(13037,plain,
% 39.56/26.04 (((~![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))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13038,plain,
% 39.56/26.04 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)) <=> ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13039,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(monotonicity,[status(thm)],[13038])).
% 39.56/26.04 tff(13040,plain,
% 39.56/26.04 (((~![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))),
% 39.56/26.04 inference(transitivity,[status(thm)],[13039, 13037])).
% 39.56/26.04 tff(13041,plain,
% 39.56/26.04 ((~![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))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(13042,plain,
% 39.56/26.04 ((~![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)),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[13041, 13040])).
% 39.56/26.04 tff(13043,plain,
% 39.56/26.04 ((~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13042, 1049, 12993])).
% 39.56/26.04 tff(13044,plain,
% 39.56/26.04 ((~v90(constB100, bitIndex1)) | v90(constB101, bitIndex1)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13043, 13005])).
% 39.56/26.04 tff(13045,plain,
% 39.56/26.04 (v90(constB101, bitIndex1)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13044, 13036])).
% 39.56/26.04 tff(13046,plain,
% 39.56/26.04 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB99)) | (~v130(constB99, bitIndex0)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13047,plain,
% 39.56/26.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex0)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(13048,plain,
% 39.56/26.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB99)) | (~v130(constB99, bitIndex0))),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[13047, 13046])).
% 39.56/26.04 tff(13049,plain,
% 39.56/26.04 (~v130(constB99, bitIndex0)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13048, 930, 12885])).
% 39.56/26.04 tff(13050,plain,
% 39.56/26.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13051,plain,
% 39.56/26.04 ((v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0))) <=> ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13052,plain,
% 39.56/26.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)))),
% 39.56/26.04 inference(monotonicity,[status(thm)],[13051])).
% 39.56/26.04 tff(13053,plain,
% 39.56/26.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 39.56/26.04 inference(transitivity,[status(thm)],[13052, 13050])).
% 39.56/26.04 tff(13054,plain,
% 39.56/26.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(13055,plain,
% 39.56/26.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)),
% 39.56/26.04 inference(modus_ponens,[status(thm)],[13054, 13053])).
% 39.56/26.04 tff(13056,plain,
% 39.56/26.04 ((~v127(constB99, bitIndex0)) | v130(constB99, bitIndex0)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13055, 944, 12913])).
% 39.56/26.04 tff(13057,plain,
% 39.56/26.04 (~v127(constB99, bitIndex0)),
% 39.56/26.04 inference(unit_resolution,[status(thm)],[13056, 13049])).
% 39.56/26.04 tff(13058,plain,
% 39.56/26.04 (((~![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)))),
% 39.56/26.04 inference(rewrite,[status(thm)],[])).
% 39.56/26.04 tff(13059,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 39.56/26.04 inference(quant_inst,[status(thm)],[])).
% 39.56/26.04 tff(13060,plain,
% 39.56/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13059, 13058])).
% 39.56/26.05 tff(13061,plain,
% 39.56/26.05 (v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13060, 962, 12928])).
% 39.56/26.05 tff(13062,plain,
% 39.56/26.05 (~v129(constB100, bitIndex0)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13061, 13057])).
% 39.56/26.05 tff(13063,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13064,plain,
% 39.56/26.05 (((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0)) <=> ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13065,plain,
% 39.56/26.05 (((~![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))))),
% 39.56/26.05 inference(monotonicity,[status(thm)],[13064])).
% 39.56/26.05 tff(13066,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(transitivity,[status(thm)],[13065, 13063])).
% 39.56/26.05 tff(13067,plain,
% 39.56/26.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13068,plain,
% 39.56/26.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13067, 13066])).
% 39.56/26.05 tff(13069,plain,
% 39.56/26.05 ((~v90(constB100, bitIndex0)) | (~v100(constB100))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13068, 977, 13062])).
% 39.56/26.05 tff(13070,plain,
% 39.56/26.05 (~v90(constB100, bitIndex0)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13069, 12962])).
% 39.56/26.05 tff(13071,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13072,plain,
% 39.56/26.05 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0))) <=> (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13073,plain,
% 39.56/26.05 (((~![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))))),
% 39.56/26.05 inference(monotonicity,[status(thm)],[13072])).
% 39.56/26.05 tff(13074,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(transitivity,[status(thm)],[13073, 13071])).
% 39.56/26.05 tff(13075,plain,
% 39.56/26.05 ((~![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)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13076,plain,
% 39.56/26.05 ((~![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))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13075, 13074])).
% 39.56/26.05 tff(13077,plain,
% 39.56/26.05 (v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13076, 207, 12993])).
% 39.56/26.05 tff(13078,plain,
% 39.56/26.05 (v90(constB100, bitIndex0) | (~v90(constB101, bitIndex0))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13077, 13005])).
% 39.56/26.05 tff(13079,plain,
% 39.56/26.05 (~v90(constB101, bitIndex0)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13078, 13070])).
% 39.56/26.05 tff(13080,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13081,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13082,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101)),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13081, 13080])).
% 39.56/26.05 tff(13083,plain,
% 39.56/26.05 (v121(constB101)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13082, 996, 13079, 13045, 13014])).
% 39.56/26.05 tff(13084,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB101) | (~v121(constB101)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB101) | (~v121(constB101)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13085,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB101) | (~v121(constB101)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13086,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB101) | (~v121(constB101))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13085, 13084])).
% 39.56/26.05 tff(13087,plain,
% 39.56/26.05 (v117(constB101)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13086, 1130, 13083])).
% 39.56/26.05 tff(13088,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB101) | (~v117(constB101)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB101) | (~v117(constB101)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13089,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB101) | (~v117(constB101)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13090,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB101) | (~v117(constB101))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13089, 13088])).
% 39.56/26.05 tff(13091,plain,
% 39.56/26.05 (v116(constB101)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13090, 261, 13087])).
% 39.56/26.05 tff(13092,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13093,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13094,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13093, 13092])).
% 39.56/26.05 tff(13095,plain,
% 39.56/26.05 (v115(constB101)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13094, 272, 13091])).
% 39.56/26.05 tff(13096,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13097,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13098,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13097, 13096])).
% 39.56/26.05 tff(13099,plain,
% 39.56/26.05 (v114(constB101)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13098, 283, 13095])).
% 39.56/26.05 tff(13100,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13101,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13102,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13101, 13100])).
% 39.56/26.05 tff(13103,plain,
% 39.56/26.05 (v113(constB101)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13102, 294, 13099])).
% 39.56/26.05 tff(13104,assumption,(v26(constB101)), introduced(assumption)).
% 39.56/26.05 tff(13105,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13106,plain,
% 39.56/26.05 ($false),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13105, 86, 13104])).
% 39.56/26.05 tff(13107,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 39.56/26.05 tff(13108,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13109,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13110,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | (~v113(constB101)) | v112(constB101)),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13109, 13108])).
% 39.56/26.05 tff(13111,plain,
% 39.56/26.05 ((~v113(constB101)) | v112(constB101)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13110, 308, 13107])).
% 39.56/26.05 tff(13112,plain,
% 39.56/26.05 (v112(constB101)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13111, 13103])).
% 39.56/26.05 tff(13113,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13114,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13115,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13114, 13113])).
% 39.56/26.05 tff(13116,plain,
% 39.56/26.05 (v108(constB101)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13115, 320, 13112])).
% 39.56/26.05 tff(13117,plain,
% 39.56/26.05 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13118,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 39.56/26.05 tff(13119,plain,
% 39.56/26.05 (nextState(constB101, constB102)),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13118, 13117])).
% 39.56/26.05 tff(13120,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13121,plain,
% 39.56/26.05 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13122,plain,
% 39.56/26.05 (((~![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))))),
% 39.56/26.05 inference(monotonicity,[status(thm)],[13121])).
% 39.56/26.05 tff(13123,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(transitivity,[status(thm)],[13122, 13120])).
% 39.56/26.05 tff(13124,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13125,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13124, 13123])).
% 39.56/26.05 tff(13126,plain,
% 39.56/26.05 (v110(constB102) | (~v108(constB101))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13125, 337, 13119])).
% 39.56/26.05 tff(13127,plain,
% 39.56/26.05 (v110(constB102)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13126, 13116])).
% 39.56/26.05 tff(13128,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13129,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13130,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13129, 13128])).
% 39.56/26.05 tff(13131,plain,
% 39.56/26.05 (~v104(constB102)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13130, 355, 13119, 12990])).
% 39.56/26.05 tff(13132,plain,
% 39.56/26.05 (((~![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))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13133,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13134,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13133, 13132])).
% 39.56/26.05 tff(13135,plain,
% 39.56/26.05 (v102(constB102) | v104(constB102)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13134, 369, 13119])).
% 39.56/26.05 tff(13136,plain,
% 39.56/26.05 (v102(constB102)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13135, 13131])).
% 39.56/26.05 tff(13137,plain,
% 39.56/26.05 (v1(constB102) <=> v1(constB102)),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13138,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 39.56/26.05 tff(13139,plain,
% 39.56/26.05 (v1(constB102)),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13138, 13137])).
% 39.56/26.05 tff(13140,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13141,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13142,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13141, 13140])).
% 39.56/26.05 tff(13143,plain,
% 39.56/26.05 (v101(constB102) | (~v102(constB102))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13142, 387, 13119, 13139])).
% 39.56/26.05 tff(13144,plain,
% 39.56/26.05 (v101(constB102)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13143, 13136])).
% 39.56/26.05 tff(13145,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13146,plain,
% 39.56/26.05 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13147,plain,
% 39.56/26.05 (((~![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))))),
% 39.56/26.05 inference(monotonicity,[status(thm)],[13146])).
% 39.56/26.05 tff(13148,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(transitivity,[status(thm)],[13147, 13145])).
% 39.56/26.05 tff(13149,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13150,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13149, 13148])).
% 39.56/26.05 tff(13151,plain,
% 39.56/26.05 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13150, 402, 13119])).
% 39.56/26.05 tff(13152,plain,
% 39.56/26.05 (v100(constB102) | (~v110(constB102))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13151, 13144])).
% 39.56/26.05 tff(13153,plain,
% 39.56/26.05 (v100(constB102)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13152, 13127])).
% 39.56/26.05 tff(13154,plain,
% 39.56/26.05 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13155,plain,
% 39.56/26.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13156,plain,
% 39.56/26.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13155, 13154])).
% 39.56/26.05 tff(13157,plain,
% 39.56/26.05 (~v130(constB101, bitIndex2)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13156, 1102, 13083])).
% 39.56/26.05 tff(13158,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13159,plain,
% 39.56/26.05 ((v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2))) <=> ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13160,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)))),
% 39.56/26.05 inference(monotonicity,[status(thm)],[13159])).
% 39.56/26.05 tff(13161,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 39.56/26.05 inference(transitivity,[status(thm)],[13160, 13158])).
% 39.56/26.05 tff(13162,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13163,plain,
% 39.56/26.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13162, 13161])).
% 39.56/26.05 tff(13164,plain,
% 39.56/26.05 ((~v127(constB101, bitIndex2)) | v130(constB101, bitIndex2)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13163, 435, 13107])).
% 39.56/26.05 tff(13165,plain,
% 39.56/26.05 (~v127(constB101, bitIndex2)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13164, 13157])).
% 39.56/26.05 tff(13166,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13167,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13168,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13167, 13166])).
% 39.56/26.05 tff(13169,plain,
% 39.56/26.05 (v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13168, 453, 13119])).
% 39.56/26.05 tff(13170,plain,
% 39.56/26.05 (~v129(constB102, bitIndex2)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13169, 13165])).
% 39.56/26.05 tff(13171,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13172,plain,
% 39.56/26.05 (((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2)) <=> ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13173,plain,
% 39.56/26.05 (((~![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))))),
% 39.56/26.05 inference(monotonicity,[status(thm)],[13172])).
% 39.56/26.05 tff(13174,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(transitivity,[status(thm)],[13173, 13171])).
% 39.56/26.05 tff(13175,plain,
% 39.56/26.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13176,plain,
% 39.56/26.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13175, 13174])).
% 39.56/26.05 tff(13177,plain,
% 39.56/26.05 ((~v90(constB102, bitIndex2)) | (~v100(constB102))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13176, 468, 13170])).
% 39.56/26.05 tff(13178,plain,
% 39.56/26.05 (~v90(constB102, bitIndex2)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13177, 13153])).
% 39.56/26.05 tff(13179,plain,
% 39.56/26.05 ((~v1(constB103)) <=> (~v1(constB103))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13180,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 39.56/26.05 tff(13181,plain,
% 39.56/26.05 (~v1(constB103)),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13180, 13179])).
% 39.56/26.05 tff(13182,plain,
% 39.56/26.05 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13183,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 39.56/26.05 tff(13184,plain,
% 39.56/26.05 (nextState(constB102, constB103)),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13183, 13182])).
% 39.56/26.05 tff(13185,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13186,plain,
% 39.56/26.05 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13187,plain,
% 39.56/26.05 (((~![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))))),
% 39.56/26.05 inference(monotonicity,[status(thm)],[13186])).
% 39.56/26.05 tff(13188,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(transitivity,[status(thm)],[13187, 13185])).
% 39.56/26.05 tff(13189,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13190,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13189, 13188])).
% 39.56/26.05 tff(13191,plain,
% 39.56/26.05 (~v101(constB103)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13190, 133, 13184, 13181])).
% 39.56/26.05 tff(13192,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13193,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13194,plain,
% 39.56/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13193, 13192])).
% 39.56/26.05 tff(13195,plain,
% 39.56/26.05 (v101(constB103) | (~v100(constB103))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13194, 150, 13184])).
% 39.56/26.05 tff(13196,plain,
% 39.56/26.05 (~v100(constB103)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13195, 13191])).
% 39.56/26.05 tff(13197,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13198,plain,
% 39.56/26.05 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2))) <=> (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13199,plain,
% 39.56/26.05 (((~![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))))),
% 39.56/26.05 inference(monotonicity,[status(thm)],[13198])).
% 39.56/26.05 tff(13200,plain,
% 39.56/26.05 (((~![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)))),
% 39.56/26.05 inference(transitivity,[status(thm)],[13199, 13197])).
% 39.56/26.05 tff(13201,plain,
% 39.56/26.05 ((~![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)))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13202,plain,
% 39.56/26.05 ((~![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))),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13201, 13200])).
% 39.56/26.05 tff(13203,plain,
% 39.56/26.05 (v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13202, 165, 13184])).
% 39.56/26.05 tff(13204,plain,
% 39.56/26.05 (v90(constB102, bitIndex2) | (~v90(constB103, bitIndex2))),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13203, 13196])).
% 39.56/26.05 tff(13205,plain,
% 39.56/26.05 (~v90(constB103, bitIndex2)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13204, 13178])).
% 39.56/26.05 tff(13206,plain,
% 39.56/26.05 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB101)) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB101)) | v130(constB101, bitIndex1))),
% 39.56/26.05 inference(rewrite,[status(thm)],[])).
% 39.56/26.05 tff(13207,plain,
% 39.56/26.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB101)) | v130(constB101, bitIndex1))),
% 39.56/26.05 inference(quant_inst,[status(thm)],[])).
% 39.56/26.05 tff(13208,plain,
% 39.56/26.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB101)) | v130(constB101, bitIndex1)),
% 39.56/26.05 inference(modus_ponens,[status(thm)],[13207, 13206])).
% 39.56/26.05 tff(13209,plain,
% 39.56/26.05 (v130(constB101, bitIndex1)),
% 39.56/26.05 inference(unit_resolution,[status(thm)],[13208, 1717, 13083])).
% 39.56/26.05 tff(13210,plain,
% 39.56/26.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13211,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13212,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13211, 13210])).
% 39.56/26.06 tff(13213,plain,
% 39.56/26.06 ((~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13212, 882, 13107])).
% 39.56/26.06 tff(13214,plain,
% 39.56/26.06 (v127(constB101, bitIndex1)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13213, 13209])).
% 39.56/26.06 tff(13215,plain,
% 39.56/26.06 (((~![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))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13216,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13217,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 39.56/26.06 tff(13218,plain,
% 39.56/26.06 ((~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13217, 897, 13119])).
% 39.56/26.06 tff(13219,plain,
% 39.56/26.06 (v129(constB102, bitIndex1)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13218, 13214])).
% 39.56/26.06 tff(13220,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13221,plain,
% 39.56/26.06 ((v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13222,plain,
% 39.56/26.06 (((~![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))))),
% 39.56/26.06 inference(monotonicity,[status(thm)],[13221])).
% 39.56/26.06 tff(13223,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(transitivity,[status(thm)],[13222, 13220])).
% 39.56/26.06 tff(13224,plain,
% 39.56/26.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13225,plain,
% 39.56/26.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 39.56/26.06 tff(13226,plain,
% 39.56/26.06 (v90(constB102, bitIndex1) | (~v100(constB102))),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13225, 912, 13219])).
% 39.56/26.06 tff(13227,plain,
% 39.56/26.06 (v90(constB102, bitIndex1)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13226, 13153])).
% 39.56/26.06 tff(13228,plain,
% 39.56/26.06 (((~![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))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13229,plain,
% 39.56/26.06 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13230,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(monotonicity,[status(thm)],[13229])).
% 39.56/26.06 tff(13231,plain,
% 39.56/26.06 (((~![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))),
% 39.56/26.06 inference(transitivity,[status(thm)],[13230, 13228])).
% 39.56/26.06 tff(13232,plain,
% 39.56/26.06 ((~![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))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13233,plain,
% 39.56/26.06 ((~![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)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 39.56/26.06 tff(13234,plain,
% 39.56/26.06 ((~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13233, 1049, 13184])).
% 39.56/26.06 tff(13235,plain,
% 39.56/26.06 ((~v90(constB102, bitIndex1)) | v90(constB103, bitIndex1)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13234, 13196])).
% 39.56/26.06 tff(13236,plain,
% 39.56/26.06 (v90(constB103, bitIndex1)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13235, 13227])).
% 39.56/26.06 tff(13237,plain,
% 39.56/26.06 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13238,plain,
% 39.56/26.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13239,plain,
% 39.56/26.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13238, 13237])).
% 39.56/26.06 tff(13240,plain,
% 39.56/26.06 (v130(constB101, bitIndex0)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13239, 1758, 13083])).
% 39.56/26.06 tff(13241,plain,
% 39.56/26.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13242,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13243,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13242, 13241])).
% 39.56/26.06 tff(13244,plain,
% 39.56/26.06 ((~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13243, 601, 13107])).
% 39.56/26.06 tff(13245,plain,
% 39.56/26.06 (v127(constB101, bitIndex0)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13244, 13240])).
% 39.56/26.06 tff(13246,plain,
% 39.56/26.06 (((~![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))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13247,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13248,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13247, 13246])).
% 39.56/26.06 tff(13249,plain,
% 39.56/26.06 ((~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13248, 616, 13119])).
% 39.56/26.06 tff(13250,plain,
% 39.56/26.06 (v129(constB102, bitIndex0)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13249, 13245])).
% 39.56/26.06 tff(13251,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13252,plain,
% 39.56/26.06 ((v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13253,plain,
% 39.56/26.06 (((~![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))))),
% 39.56/26.06 inference(monotonicity,[status(thm)],[13252])).
% 39.56/26.06 tff(13254,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(transitivity,[status(thm)],[13253, 13251])).
% 39.56/26.06 tff(13255,plain,
% 39.56/26.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13256,plain,
% 39.56/26.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13255, 13254])).
% 39.56/26.06 tff(13257,plain,
% 39.56/26.06 (v90(constB102, bitIndex0) | (~v100(constB102))),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13256, 631, 13250])).
% 39.56/26.06 tff(13258,plain,
% 39.56/26.06 (v90(constB102, bitIndex0)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13257, 13153])).
% 39.56/26.06 tff(13259,plain,
% 39.56/26.06 (((~![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))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13260,plain,
% 39.56/26.06 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0)) <=> ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13261,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(monotonicity,[status(thm)],[13260])).
% 39.56/26.06 tff(13262,plain,
% 39.56/26.06 (((~![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))),
% 39.56/26.06 inference(transitivity,[status(thm)],[13261, 13259])).
% 39.56/26.06 tff(13263,plain,
% 39.56/26.06 ((~![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))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13264,plain,
% 39.56/26.06 ((~![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)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13263, 13262])).
% 39.56/26.06 tff(13265,plain,
% 39.56/26.06 ((~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13264, 649, 13184])).
% 39.56/26.06 tff(13266,plain,
% 39.56/26.06 ((~v90(constB102, bitIndex0)) | v90(constB103, bitIndex0)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13265, 13196])).
% 39.56/26.06 tff(13267,plain,
% 39.56/26.06 (v90(constB103, bitIndex0)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13266, 13258])).
% 39.56/26.06 tff(13268,plain,
% 39.56/26.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13269,plain,
% 39.56/26.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13270,plain,
% 39.56/26.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13269, 13268])).
% 39.56/26.06 tff(13271,plain,
% 39.56/26.06 (v122(constB103)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13270, 1184, 13267, 13236, 13205])).
% 39.56/26.06 tff(13272,plain,
% 39.56/26.06 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB103) | (~v122(constB103)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB103) | (~v122(constB103)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13273,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB103) | (~v122(constB103)))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13274,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB103) | (~v122(constB103))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13273, 13272])).
% 39.56/26.06 tff(13275,plain,
% 39.56/26.06 (v116(constB103)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13274, 1149, 13271])).
% 39.56/26.06 tff(13276,plain,
% 39.56/26.06 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB103) | (~v116(constB103)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13277,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB103) | (~v116(constB103)))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13278,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB103) | (~v116(constB103))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13277, 13276])).
% 39.56/26.06 tff(13279,plain,
% 39.56/26.06 (v115(constB103)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13278, 272, 13275])).
% 39.56/26.06 tff(13280,plain,
% 39.56/26.06 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13281,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13282,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13281, 13280])).
% 39.56/26.06 tff(13283,plain,
% 39.56/26.06 (v114(constB103)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13282, 283, 13279])).
% 39.56/26.06 tff(13284,plain,
% 39.56/26.06 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13285,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13286,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13285, 13284])).
% 39.56/26.06 tff(13287,plain,
% 39.56/26.06 (v113(constB103)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13286, 294, 13283])).
% 39.56/26.06 tff(13288,assumption,(v26(constB103)), introduced(assumption)).
% 39.56/26.06 tff(13289,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13290,plain,
% 39.56/26.06 ($false),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13289, 86, 13288])).
% 39.56/26.06 tff(13291,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 39.56/26.06 tff(13292,plain,
% 39.56/26.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13293,plain,
% 39.56/26.06 ((v26(constB103) | (~v113(constB103)) | v112(constB103)) <=> (v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13294,plain,
% 39.56/26.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103))))),
% 39.56/26.06 inference(monotonicity,[status(thm)],[13293])).
% 39.56/26.06 tff(13295,plain,
% 39.56/26.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 39.56/26.06 inference(transitivity,[status(thm)],[13294, 13292])).
% 39.56/26.06 tff(13296,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13297,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13296, 13295])).
% 39.56/26.06 tff(13298,plain,
% 39.56/26.06 (v112(constB103) | (~v113(constB103))),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13297, 308, 13291])).
% 39.56/26.06 tff(13299,plain,
% 39.56/26.06 (v112(constB103)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13298, 13287])).
% 39.56/26.06 tff(13300,plain,
% 39.56/26.06 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13301,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13302,plain,
% 39.56/26.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13301, 13300])).
% 39.56/26.06 tff(13303,plain,
% 39.56/26.06 (v108(constB103)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13302, 320, 13299])).
% 39.56/26.06 tff(13304,plain,
% 39.56/26.06 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13305,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 39.56/26.06 tff(13306,plain,
% 39.56/26.06 (nextState(constB103, constB104)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13305, 13304])).
% 39.56/26.06 tff(13307,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13308,plain,
% 39.56/26.06 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13309,plain,
% 39.56/26.06 (((~![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))))),
% 39.56/26.06 inference(monotonicity,[status(thm)],[13308])).
% 39.56/26.06 tff(13310,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(transitivity,[status(thm)],[13309, 13307])).
% 39.56/26.06 tff(13311,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13312,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13311, 13310])).
% 39.56/26.06 tff(13313,plain,
% 39.56/26.06 (v110(constB104) | (~v108(constB103))),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13312, 337, 13306])).
% 39.56/26.06 tff(13314,plain,
% 39.56/26.06 (v110(constB104)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13313, 13303])).
% 39.56/26.06 tff(13315,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13316,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13317,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13316, 13315])).
% 39.56/26.06 tff(13318,plain,
% 39.56/26.06 (~v104(constB104)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13317, 355, 13306, 13181])).
% 39.56/26.06 tff(13319,plain,
% 39.56/26.06 (((~![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))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13320,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13321,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13320, 13319])).
% 39.56/26.06 tff(13322,plain,
% 39.56/26.06 (v102(constB104) | v104(constB104)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13321, 369, 13306])).
% 39.56/26.06 tff(13323,plain,
% 39.56/26.06 (v102(constB104)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13322, 13318])).
% 39.56/26.06 tff(13324,plain,
% 39.56/26.06 (v1(constB104) <=> v1(constB104)),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13325,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 39.56/26.06 tff(13326,plain,
% 39.56/26.06 (v1(constB104)),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13325, 13324])).
% 39.56/26.06 tff(13327,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13328,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13329,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13328, 13327])).
% 39.56/26.06 tff(13330,plain,
% 39.56/26.06 (v101(constB104) | (~v102(constB104))),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13329, 387, 13306, 13326])).
% 39.56/26.06 tff(13331,plain,
% 39.56/26.06 (v101(constB104)),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13330, 13323])).
% 39.56/26.06 tff(13332,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13333,plain,
% 39.56/26.06 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 39.56/26.06 inference(rewrite,[status(thm)],[])).
% 39.56/26.06 tff(13334,plain,
% 39.56/26.06 (((~![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))))),
% 39.56/26.06 inference(monotonicity,[status(thm)],[13333])).
% 39.56/26.06 tff(13335,plain,
% 39.56/26.06 (((~![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)))),
% 39.56/26.06 inference(transitivity,[status(thm)],[13334, 13332])).
% 39.56/26.06 tff(13336,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 39.56/26.06 inference(quant_inst,[status(thm)],[])).
% 39.56/26.06 tff(13337,plain,
% 39.56/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 39.56/26.06 inference(modus_ponens,[status(thm)],[13336, 13335])).
% 39.56/26.06 tff(13338,plain,
% 39.56/26.06 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 39.56/26.06 inference(unit_resolution,[status(thm)],[13337, 402, 13306])).
% 39.56/26.06 tff(13339,plain,
% 39.56/26.07 (v100(constB104) | (~v110(constB104))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13338, 13331])).
% 39.56/26.07 tff(13340,plain,
% 39.56/26.07 (v100(constB104)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13339, 13314])).
% 39.56/26.07 tff(13341,plain,
% 39.56/26.07 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB103)) | v130(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB103)) | v130(constB103, bitIndex2))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13342,plain,
% 39.56/26.07 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB103)) | v130(constB103, bitIndex2))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13343,plain,
% 39.56/26.07 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB103)) | v130(constB103, bitIndex2)),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13342, 13341])).
% 39.56/26.07 tff(13344,plain,
% 39.56/26.07 (v130(constB103, bitIndex2)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13343, 1803, 13271])).
% 39.56/26.07 tff(13345,plain,
% 39.56/26.07 (((~![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))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13346,plain,
% 39.56/26.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13347,plain,
% 39.56/26.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13346, 13345])).
% 39.56/26.07 tff(13348,plain,
% 39.56/26.07 ((~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13347, 1821, 13291])).
% 39.56/26.07 tff(13349,plain,
% 39.56/26.07 (v127(constB103, bitIndex2)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13348, 13344])).
% 39.56/26.07 tff(13350,plain,
% 39.56/26.07 (((~![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))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13351,plain,
% 39.56/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13352,plain,
% 39.56/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13351, 13350])).
% 39.56/26.07 tff(13353,plain,
% 39.56/26.07 ((~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13352, 1836, 13306])).
% 39.56/26.07 tff(13354,plain,
% 39.56/26.07 (v129(constB104, bitIndex2)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13353, 13349])).
% 39.56/26.07 tff(13355,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13356,plain,
% 39.56/26.07 ((v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2))) <=> (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13357,plain,
% 39.56/26.07 (((~![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))))),
% 39.56/26.07 inference(monotonicity,[status(thm)],[13356])).
% 39.56/26.07 tff(13358,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(transitivity,[status(thm)],[13357, 13355])).
% 39.56/26.07 tff(13359,plain,
% 39.56/26.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13360,plain,
% 39.56/26.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13359, 13358])).
% 39.56/26.07 tff(13361,plain,
% 39.56/26.07 (v90(constB104, bitIndex2) | (~v100(constB104))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13360, 2100, 13354])).
% 39.56/26.07 tff(13362,plain,
% 39.56/26.07 (v90(constB104, bitIndex2)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13361, 13340])).
% 39.56/26.07 tff(13363,plain,
% 39.56/26.07 ((~v1(constB105)) <=> (~v1(constB105))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13364,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 39.56/26.07 tff(13365,plain,
% 39.56/26.07 (~v1(constB105)),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13364, 13363])).
% 39.56/26.07 tff(13366,plain,
% 39.56/26.07 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13367,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 39.56/26.07 tff(13368,plain,
% 39.56/26.07 (nextState(constB104, constB105)),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13367, 13366])).
% 39.56/26.07 tff(13369,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13370,plain,
% 39.56/26.07 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13371,plain,
% 39.56/26.07 (((~![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))))),
% 39.56/26.07 inference(monotonicity,[status(thm)],[13370])).
% 39.56/26.07 tff(13372,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(transitivity,[status(thm)],[13371, 13369])).
% 39.56/26.07 tff(13373,plain,
% 39.56/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13374,plain,
% 39.56/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13373, 13372])).
% 39.56/26.07 tff(13375,plain,
% 39.56/26.07 (~v101(constB105)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13374, 133, 13368, 13365])).
% 39.56/26.07 tff(13376,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13377,plain,
% 39.56/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13378,plain,
% 39.56/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13377, 13376])).
% 39.56/26.07 tff(13379,plain,
% 39.56/26.07 (v101(constB105) | (~v100(constB105))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13378, 150, 13368])).
% 39.56/26.07 tff(13380,plain,
% 39.56/26.07 (~v100(constB105)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13379, 13375])).
% 39.56/26.07 tff(13381,plain,
% 39.56/26.07 (((~![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))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13382,plain,
% 39.56/26.07 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)) <=> ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13383,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(monotonicity,[status(thm)],[13382])).
% 39.56/26.07 tff(13384,plain,
% 39.56/26.07 (((~![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))),
% 39.56/26.07 inference(transitivity,[status(thm)],[13383, 13381])).
% 39.56/26.07 tff(13385,plain,
% 39.56/26.07 ((~![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))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13386,plain,
% 39.56/26.07 ((~![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)),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13385, 13384])).
% 39.56/26.07 tff(13387,plain,
% 39.56/26.07 ((~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13386, 2118, 13368])).
% 39.56/26.07 tff(13388,plain,
% 39.56/26.07 ((~v90(constB104, bitIndex2)) | v90(constB105, bitIndex2)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13387, 13380])).
% 39.56/26.07 tff(13389,plain,
% 39.56/26.07 (v90(constB105, bitIndex2)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13388, 13362])).
% 39.56/26.07 tff(13390,plain,
% 39.56/26.07 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB103)) | (~v130(constB103, bitIndex1)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13391,plain,
% 39.56/26.07 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex1)))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13392,plain,
% 39.56/26.07 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB103)) | (~v130(constB103, bitIndex1))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13391, 13390])).
% 39.56/26.07 tff(13393,plain,
% 39.56/26.07 (~v130(constB103, bitIndex1)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13392, 2137, 13271])).
% 39.56/26.07 tff(13394,plain,
% 39.56/26.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13395,plain,
% 39.56/26.07 ((v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1))) <=> ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13396,plain,
% 39.56/26.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1)))),
% 39.56/26.07 inference(monotonicity,[status(thm)],[13395])).
% 39.56/26.07 tff(13397,plain,
% 39.56/26.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 39.56/26.07 inference(transitivity,[status(thm)],[13396, 13394])).
% 39.56/26.07 tff(13398,plain,
% 39.56/26.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13399,plain,
% 39.56/26.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1)),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13398, 13397])).
% 39.56/26.07 tff(13400,plain,
% 39.56/26.07 ((~v127(constB103, bitIndex1)) | v130(constB103, bitIndex1)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13399, 527, 13291])).
% 39.56/26.07 tff(13401,plain,
% 39.56/26.07 (~v127(constB103, bitIndex1)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13400, 13393])).
% 39.56/26.07 tff(13402,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13403,plain,
% 39.56/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13404,plain,
% 39.56/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13403, 13402])).
% 39.56/26.07 tff(13405,plain,
% 39.56/26.07 (v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13404, 545, 13306])).
% 39.56/26.07 tff(13406,plain,
% 39.56/26.07 (~v129(constB104, bitIndex1)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13405, 13401])).
% 39.56/26.07 tff(13407,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13408,plain,
% 39.56/26.07 (((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1)) <=> ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13409,plain,
% 39.56/26.07 (((~![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))))),
% 39.56/26.07 inference(monotonicity,[status(thm)],[13408])).
% 39.56/26.07 tff(13410,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(transitivity,[status(thm)],[13409, 13407])).
% 39.56/26.07 tff(13411,plain,
% 39.56/26.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13412,plain,
% 39.56/26.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13411, 13410])).
% 39.56/26.07 tff(13413,plain,
% 39.56/26.07 ((~v90(constB104, bitIndex1)) | (~v100(constB104))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13412, 560, 13406])).
% 39.56/26.07 tff(13414,plain,
% 39.56/26.07 (~v90(constB104, bitIndex1)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13413, 13340])).
% 39.56/26.07 tff(13415,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13416,plain,
% 39.56/26.07 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1))) <=> (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13417,plain,
% 39.56/26.07 (((~![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))))),
% 39.56/26.07 inference(monotonicity,[status(thm)],[13416])).
% 39.56/26.07 tff(13418,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(transitivity,[status(thm)],[13417, 13415])).
% 39.56/26.07 tff(13419,plain,
% 39.56/26.07 ((~![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)))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13420,plain,
% 39.56/26.07 ((~![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))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13419, 13418])).
% 39.56/26.07 tff(13421,plain,
% 39.56/26.07 (v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13420, 186, 13368])).
% 39.56/26.07 tff(13422,plain,
% 39.56/26.07 (v90(constB104, bitIndex1) | (~v90(constB105, bitIndex1))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13421, 13380])).
% 39.56/26.07 tff(13423,plain,
% 39.56/26.07 (~v90(constB105, bitIndex1)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13422, 13414])).
% 39.56/26.07 tff(13424,plain,
% 39.56/26.07 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB103)) | (~v130(constB103, bitIndex0)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13425,plain,
% 39.56/26.07 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex0)))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13426,plain,
% 39.56/26.07 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB103)) | (~v130(constB103, bitIndex0))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13425, 13424])).
% 39.56/26.07 tff(13427,plain,
% 39.56/26.07 (~v130(constB103, bitIndex0)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13426, 1486, 13271])).
% 39.56/26.07 tff(13428,plain,
% 39.56/26.07 (((~![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))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13429,plain,
% 39.56/26.07 ((v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0))) <=> ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13430,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(monotonicity,[status(thm)],[13429])).
% 39.56/26.07 tff(13431,plain,
% 39.56/26.07 (((~![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))),
% 39.56/26.07 inference(transitivity,[status(thm)],[13430, 13428])).
% 39.56/26.07 tff(13432,plain,
% 39.56/26.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13433,plain,
% 39.56/26.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13432, 13431])).
% 39.56/26.07 tff(13434,plain,
% 39.56/26.07 ((~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13433, 944, 13291])).
% 39.56/26.07 tff(13435,plain,
% 39.56/26.07 (~v127(constB103, bitIndex0)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13434, 13427])).
% 39.56/26.07 tff(13436,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13437,plain,
% 39.56/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13438,plain,
% 39.56/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13437, 13436])).
% 39.56/26.07 tff(13439,plain,
% 39.56/26.07 (v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13438, 962, 13306])).
% 39.56/26.07 tff(13440,plain,
% 39.56/26.07 (~v129(constB104, bitIndex0)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13439, 13435])).
% 39.56/26.07 tff(13441,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13442,plain,
% 39.56/26.07 (((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0)) <=> ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13443,plain,
% 39.56/26.07 (((~![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))))),
% 39.56/26.07 inference(monotonicity,[status(thm)],[13442])).
% 39.56/26.07 tff(13444,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(transitivity,[status(thm)],[13443, 13441])).
% 39.56/26.07 tff(13445,plain,
% 39.56/26.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13446,plain,
% 39.56/26.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13445, 13444])).
% 39.56/26.07 tff(13447,plain,
% 39.56/26.07 ((~v90(constB104, bitIndex0)) | (~v100(constB104))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13446, 977, 13440])).
% 39.56/26.07 tff(13448,plain,
% 39.56/26.07 (~v90(constB104, bitIndex0)),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13447, 13340])).
% 39.56/26.07 tff(13449,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13450,plain,
% 39.56/26.07 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))) <=> (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 39.56/26.07 inference(rewrite,[status(thm)],[])).
% 39.56/26.07 tff(13451,plain,
% 39.56/26.07 (((~![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))))),
% 39.56/26.07 inference(monotonicity,[status(thm)],[13450])).
% 39.56/26.07 tff(13452,plain,
% 39.56/26.07 (((~![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)))),
% 39.56/26.07 inference(transitivity,[status(thm)],[13451, 13449])).
% 39.56/26.07 tff(13453,plain,
% 39.56/26.07 ((~![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)))),
% 39.56/26.07 inference(quant_inst,[status(thm)],[])).
% 39.56/26.07 tff(13454,plain,
% 39.56/26.07 ((~![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))),
% 39.56/26.07 inference(modus_ponens,[status(thm)],[13453, 13452])).
% 39.56/26.07 tff(13455,plain,
% 39.56/26.07 (v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13454, 207, 13368])).
% 39.56/26.07 tff(13456,plain,
% 39.56/26.07 (v90(constB104, bitIndex0) | (~v90(constB105, bitIndex0))),
% 39.56/26.07 inference(unit_resolution,[status(thm)],[13455, 13380])).
% 39.56/26.07 tff(13457,plain,
% 39.56/26.07 (~v90(constB105, bitIndex0)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13456, 13448])).
% 39.56/26.08 tff(13458,plain,
% 39.56/26.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13459,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13460,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13459, 13458])).
% 39.56/26.08 tff(13461,plain,
% 39.56/26.08 (v123(constB105)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13460, 1280, 13457, 13423, 13389])).
% 39.56/26.08 tff(13462,plain,
% 39.56/26.08 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB105) | (~v123(constB105)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB105) | (~v123(constB105)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13463,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB105) | (~v123(constB105)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13464,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB105) | (~v123(constB105))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13463, 13462])).
% 39.56/26.08 tff(13465,plain,
% 39.56/26.08 (v115(constB105)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13464, 1247, 13461])).
% 39.56/26.08 tff(13466,plain,
% 39.56/26.08 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB105) | (~v115(constB105)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB105) | (~v115(constB105)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13467,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB105) | (~v115(constB105)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13468,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB105) | (~v115(constB105))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13467, 13466])).
% 39.56/26.08 tff(13469,plain,
% 39.56/26.08 (v114(constB105)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13468, 283, 13465])).
% 39.56/26.08 tff(13470,plain,
% 39.56/26.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB105) | (~v114(constB105)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB105) | (~v114(constB105)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13471,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB105) | (~v114(constB105)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13472,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB105) | (~v114(constB105))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13471, 13470])).
% 39.56/26.08 tff(13473,plain,
% 39.56/26.08 (v113(constB105)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13472, 294, 13469])).
% 39.56/26.08 tff(13474,assumption,(v26(constB105)), introduced(assumption)).
% 39.56/26.08 tff(13475,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13476,plain,
% 39.56/26.08 ($false),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13475, 86, 13474])).
% 39.56/26.08 tff(13477,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 39.56/26.08 tff(13478,plain,
% 39.56/26.08 (((~![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))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13479,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13480,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13479, 13478])).
% 39.56/26.08 tff(13481,plain,
% 39.56/26.08 ((~v113(constB105)) | v112(constB105)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13480, 308, 13477])).
% 39.56/26.08 tff(13482,plain,
% 39.56/26.08 (v112(constB105)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13481, 13473])).
% 39.56/26.08 tff(13483,plain,
% 39.56/26.08 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13484,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13485,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13484, 13483])).
% 39.56/26.08 tff(13486,plain,
% 39.56/26.08 (v108(constB105)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13485, 320, 13482])).
% 39.56/26.08 tff(13487,plain,
% 39.56/26.08 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13488,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 39.56/26.08 tff(13489,plain,
% 39.56/26.08 (nextState(constB105, constB106)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13488, 13487])).
% 39.56/26.08 tff(13490,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13491,plain,
% 39.56/26.08 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13492,plain,
% 39.56/26.08 (((~![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))))),
% 39.56/26.08 inference(monotonicity,[status(thm)],[13491])).
% 39.56/26.08 tff(13493,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(transitivity,[status(thm)],[13492, 13490])).
% 39.56/26.08 tff(13494,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13495,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13494, 13493])).
% 39.56/26.08 tff(13496,plain,
% 39.56/26.08 (v110(constB106) | (~v108(constB105))),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13495, 337, 13489])).
% 39.56/26.08 tff(13497,plain,
% 39.56/26.08 (v110(constB106)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13496, 13486])).
% 39.56/26.08 tff(13498,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13499,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13500,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 39.56/26.08 tff(13501,plain,
% 39.56/26.08 (~v104(constB106)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13500, 355, 13489, 13365])).
% 39.56/26.08 tff(13502,plain,
% 39.56/26.08 (((~![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))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13503,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13504,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13503, 13502])).
% 39.56/26.08 tff(13505,plain,
% 39.56/26.08 (v102(constB106) | v104(constB106)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13504, 369, 13489])).
% 39.56/26.08 tff(13506,plain,
% 39.56/26.08 (v102(constB106)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13505, 13501])).
% 39.56/26.08 tff(13507,plain,
% 39.56/26.08 (v1(constB106) <=> v1(constB106)),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13508,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 39.56/26.08 tff(13509,plain,
% 39.56/26.08 (v1(constB106)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13508, 13507])).
% 39.56/26.08 tff(13510,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13511,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13512,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 39.56/26.08 tff(13513,plain,
% 39.56/26.08 (v101(constB106) | (~v102(constB106))),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13512, 387, 13489, 13509])).
% 39.56/26.08 tff(13514,plain,
% 39.56/26.08 (v101(constB106)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13513, 13506])).
% 39.56/26.08 tff(13515,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13516,plain,
% 39.56/26.08 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13517,plain,
% 39.56/26.08 (((~![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))))),
% 39.56/26.08 inference(monotonicity,[status(thm)],[13516])).
% 39.56/26.08 tff(13518,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(transitivity,[status(thm)],[13517, 13515])).
% 39.56/26.08 tff(13519,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13520,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13519, 13518])).
% 39.56/26.08 tff(13521,plain,
% 39.56/26.08 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13520, 402, 13489])).
% 39.56/26.08 tff(13522,plain,
% 39.56/26.08 (v100(constB106) | (~v110(constB106))),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13521, 13514])).
% 39.56/26.08 tff(13523,plain,
% 39.56/26.08 (v100(constB106)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13522, 13497])).
% 39.56/26.08 tff(13524,plain,
% 39.56/26.08 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB105)) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB105)) | v130(constB105, bitIndex2))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13525,plain,
% 39.56/26.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB105)) | v130(constB105, bitIndex2))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13526,plain,
% 39.56/26.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB105)) | v130(constB105, bitIndex2)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 39.56/26.08 tff(13527,plain,
% 39.56/26.08 (v130(constB105, bitIndex2)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13526, 2165, 13461])).
% 39.56/26.08 tff(13528,plain,
% 39.56/26.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13529,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13530,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13529, 13528])).
% 39.56/26.08 tff(13531,plain,
% 39.56/26.08 ((~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13530, 1821, 13477])).
% 39.56/26.08 tff(13532,plain,
% 39.56/26.08 (v127(constB105, bitIndex2)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13531, 13527])).
% 39.56/26.08 tff(13533,plain,
% 39.56/26.08 (((~![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))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13534,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13535,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13534, 13533])).
% 39.56/26.08 tff(13536,plain,
% 39.56/26.08 ((~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13535, 1836, 13489])).
% 39.56/26.08 tff(13537,plain,
% 39.56/26.08 (v129(constB106, bitIndex2)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13536, 13532])).
% 39.56/26.08 tff(13538,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13539,plain,
% 39.56/26.08 ((v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2))) <=> (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13540,plain,
% 39.56/26.08 (((~![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))))),
% 39.56/26.08 inference(monotonicity,[status(thm)],[13539])).
% 39.56/26.08 tff(13541,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(transitivity,[status(thm)],[13540, 13538])).
% 39.56/26.08 tff(13542,plain,
% 39.56/26.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13543,plain,
% 39.56/26.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13542, 13541])).
% 39.56/26.08 tff(13544,plain,
% 39.56/26.08 (v90(constB106, bitIndex2) | (~v100(constB106))),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13543, 2100, 13537])).
% 39.56/26.08 tff(13545,plain,
% 39.56/26.08 (v90(constB106, bitIndex2)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13544, 13523])).
% 39.56/26.08 tff(13546,plain,
% 39.56/26.08 ((~v1(constB107)) <=> (~v1(constB107))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13547,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 39.56/26.08 tff(13548,plain,
% 39.56/26.08 (~v1(constB107)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13547, 13546])).
% 39.56/26.08 tff(13549,plain,
% 39.56/26.08 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13550,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 39.56/26.08 tff(13551,plain,
% 39.56/26.08 (nextState(constB106, constB107)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13550, 13549])).
% 39.56/26.08 tff(13552,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13553,plain,
% 39.56/26.08 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13554,plain,
% 39.56/26.08 (((~![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))))),
% 39.56/26.08 inference(monotonicity,[status(thm)],[13553])).
% 39.56/26.08 tff(13555,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(transitivity,[status(thm)],[13554, 13552])).
% 39.56/26.08 tff(13556,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13557,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13556, 13555])).
% 39.56/26.08 tff(13558,plain,
% 39.56/26.08 (~v101(constB107)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13557, 133, 13551, 13548])).
% 39.56/26.08 tff(13559,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13560,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13561,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13560, 13559])).
% 39.56/26.08 tff(13562,plain,
% 39.56/26.08 (v101(constB107) | (~v100(constB107))),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13561, 150, 13551])).
% 39.56/26.08 tff(13563,plain,
% 39.56/26.08 (~v100(constB107)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13562, 13558])).
% 39.56/26.08 tff(13564,plain,
% 39.56/26.08 (((~![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))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13565,plain,
% 39.56/26.08 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2)) <=> ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13566,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(monotonicity,[status(thm)],[13565])).
% 39.56/26.08 tff(13567,plain,
% 39.56/26.08 (((~![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))),
% 39.56/26.08 inference(transitivity,[status(thm)],[13566, 13564])).
% 39.56/26.08 tff(13568,plain,
% 39.56/26.08 ((~![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))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13569,plain,
% 39.56/26.08 ((~![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)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13568, 13567])).
% 39.56/26.08 tff(13570,plain,
% 39.56/26.08 ((~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13569, 2118, 13551])).
% 39.56/26.08 tff(13571,plain,
% 39.56/26.08 ((~v90(constB106, bitIndex2)) | v90(constB107, bitIndex2)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13570, 13563])).
% 39.56/26.08 tff(13572,plain,
% 39.56/26.08 (v90(constB107, bitIndex2)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13571, 13545])).
% 39.56/26.08 tff(13573,plain,
% 39.56/26.08 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v130(constB105, bitIndex1)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13574,plain,
% 39.56/26.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v130(constB105, bitIndex1)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13575,plain,
% 39.56/26.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v130(constB105, bitIndex1))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 39.56/26.08 tff(13576,plain,
% 39.56/26.08 (~v130(constB105, bitIndex1)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13575, 1579, 13461])).
% 39.56/26.08 tff(13577,plain,
% 39.56/26.08 (((~![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))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13578,plain,
% 39.56/26.08 ((v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1))) <=> ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13579,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(monotonicity,[status(thm)],[13578])).
% 39.56/26.08 tff(13580,plain,
% 39.56/26.08 (((~![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))),
% 39.56/26.08 inference(transitivity,[status(thm)],[13579, 13577])).
% 39.56/26.08 tff(13581,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13582,plain,
% 39.56/26.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13581, 13580])).
% 39.56/26.08 tff(13583,plain,
% 39.56/26.08 ((~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13582, 527, 13477])).
% 39.56/26.08 tff(13584,plain,
% 39.56/26.08 (~v127(constB105, bitIndex1)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13583, 13576])).
% 39.56/26.08 tff(13585,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13586,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13587,plain,
% 39.56/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13586, 13585])).
% 39.56/26.08 tff(13588,plain,
% 39.56/26.08 (v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13587, 545, 13489])).
% 39.56/26.08 tff(13589,plain,
% 39.56/26.08 (~v129(constB106, bitIndex1)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13588, 13584])).
% 39.56/26.08 tff(13590,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13591,plain,
% 39.56/26.08 (((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1)) <=> ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13592,plain,
% 39.56/26.08 (((~![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))))),
% 39.56/26.08 inference(monotonicity,[status(thm)],[13591])).
% 39.56/26.08 tff(13593,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(transitivity,[status(thm)],[13592, 13590])).
% 39.56/26.08 tff(13594,plain,
% 39.56/26.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13595,plain,
% 39.56/26.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))),
% 39.56/26.08 inference(modus_ponens,[status(thm)],[13594, 13593])).
% 39.56/26.08 tff(13596,plain,
% 39.56/26.08 ((~v90(constB106, bitIndex1)) | (~v100(constB106))),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13595, 560, 13589])).
% 39.56/26.08 tff(13597,plain,
% 39.56/26.08 (~v90(constB106, bitIndex1)),
% 39.56/26.08 inference(unit_resolution,[status(thm)],[13596, 13523])).
% 39.56/26.08 tff(13598,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13599,plain,
% 39.56/26.08 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))) <=> (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 39.56/26.08 inference(rewrite,[status(thm)],[])).
% 39.56/26.08 tff(13600,plain,
% 39.56/26.08 (((~![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))))),
% 39.56/26.08 inference(monotonicity,[status(thm)],[13599])).
% 39.56/26.08 tff(13601,plain,
% 39.56/26.08 (((~![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)))),
% 39.56/26.08 inference(transitivity,[status(thm)],[13600, 13598])).
% 39.56/26.08 tff(13602,plain,
% 39.56/26.08 ((~![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)))),
% 39.56/26.08 inference(quant_inst,[status(thm)],[])).
% 39.56/26.08 tff(13603,plain,
% 39.56/26.08 ((~![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))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13602, 13601])).
% 39.56/26.09 tff(13604,plain,
% 39.56/26.09 (v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13603, 186, 13551])).
% 39.56/26.09 tff(13605,plain,
% 39.56/26.09 (v90(constB106, bitIndex1) | (~v90(constB107, bitIndex1))),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13604, 13563])).
% 39.56/26.09 tff(13606,plain,
% 39.56/26.09 (~v90(constB107, bitIndex1)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13605, 13597])).
% 39.56/26.09 tff(13607,plain,
% 39.56/26.09 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB105)) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB105)) | v130(constB105, bitIndex0))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13608,plain,
% 39.56/26.09 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB105)) | v130(constB105, bitIndex0))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13609,plain,
% 39.56/26.09 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB105)) | v130(constB105, bitIndex0)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13608, 13607])).
% 39.56/26.09 tff(13610,plain,
% 39.56/26.09 (v130(constB105, bitIndex0)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13609, 2258, 13461])).
% 39.56/26.09 tff(13611,plain,
% 39.56/26.09 (((~![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))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13612,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13613,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13612, 13611])).
% 39.56/26.09 tff(13614,plain,
% 39.56/26.09 ((~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13613, 601, 13477])).
% 39.56/26.09 tff(13615,plain,
% 39.56/26.09 (v127(constB105, bitIndex0)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13614, 13610])).
% 39.56/26.09 tff(13616,plain,
% 39.56/26.09 (((~![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))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13617,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13618,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13617, 13616])).
% 39.56/26.09 tff(13619,plain,
% 39.56/26.09 ((~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13618, 616, 13489])).
% 39.56/26.09 tff(13620,plain,
% 39.56/26.09 (v129(constB106, bitIndex0)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13619, 13615])).
% 39.56/26.09 tff(13621,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13622,plain,
% 39.56/26.09 ((v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13623,plain,
% 39.56/26.09 (((~![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))))),
% 39.56/26.09 inference(monotonicity,[status(thm)],[13622])).
% 39.56/26.09 tff(13624,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(transitivity,[status(thm)],[13623, 13621])).
% 39.56/26.09 tff(13625,plain,
% 39.56/26.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13626,plain,
% 39.56/26.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13625, 13624])).
% 39.56/26.09 tff(13627,plain,
% 39.56/26.09 (v90(constB106, bitIndex0) | (~v100(constB106))),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13626, 631, 13620])).
% 39.56/26.09 tff(13628,plain,
% 39.56/26.09 (v90(constB106, bitIndex0)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13627, 13523])).
% 39.56/26.09 tff(13629,plain,
% 39.56/26.09 (((~![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))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13630,plain,
% 39.56/26.09 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13631,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(monotonicity,[status(thm)],[13630])).
% 39.56/26.09 tff(13632,plain,
% 39.56/26.09 (((~![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))),
% 39.56/26.09 inference(transitivity,[status(thm)],[13631, 13629])).
% 39.56/26.09 tff(13633,plain,
% 39.56/26.09 ((~![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))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13634,plain,
% 39.56/26.09 ((~![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)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13633, 13632])).
% 39.56/26.09 tff(13635,plain,
% 39.56/26.09 ((~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13634, 649, 13551])).
% 39.56/26.09 tff(13636,plain,
% 39.56/26.09 ((~v90(constB106, bitIndex0)) | v90(constB107, bitIndex0)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13635, 13563])).
% 39.56/26.09 tff(13637,plain,
% 39.56/26.09 (v90(constB107, bitIndex0)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13636, 13628])).
% 39.56/26.09 tff(13638,plain,
% 39.56/26.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13639,plain,
% 39.56/26.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13640,plain,
% 39.56/26.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13639, 13638])).
% 39.56/26.09 tff(13641,plain,
% 39.56/26.09 (v124(constB107)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13640, 1264, 13637, 13606, 13572])).
% 39.56/26.09 tff(13642,plain,
% 39.56/26.09 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB107) | (~v124(constB107)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB107) | (~v124(constB107)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13643,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB107) | (~v124(constB107)))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13644,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB107) | (~v124(constB107))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13643, 13642])).
% 39.56/26.09 tff(13645,plain,
% 39.56/26.09 (v114(constB107)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13644, 1236, 13641])).
% 39.56/26.09 tff(13646,plain,
% 39.56/26.09 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13647,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13648,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13647, 13646])).
% 39.56/26.09 tff(13649,plain,
% 39.56/26.09 (v113(constB107)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13648, 294, 13645])).
% 39.56/26.09 tff(13650,assumption,(v26(constB107)), introduced(assumption)).
% 39.56/26.09 tff(13651,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13652,plain,
% 39.56/26.09 ($false),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13651, 86, 13650])).
% 39.56/26.09 tff(13653,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 39.56/26.09 tff(13654,plain,
% 39.56/26.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13655,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13656,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13655, 13654])).
% 39.56/26.09 tff(13657,plain,
% 39.56/26.09 ((~v113(constB107)) | v112(constB107)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13656, 308, 13653])).
% 39.56/26.09 tff(13658,plain,
% 39.56/26.09 (v112(constB107)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13657, 13649])).
% 39.56/26.09 tff(13659,plain,
% 39.56/26.09 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13660,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13661,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13660, 13659])).
% 39.56/26.09 tff(13662,plain,
% 39.56/26.09 (v108(constB107)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13661, 320, 13658])).
% 39.56/26.09 tff(13663,plain,
% 39.56/26.09 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13664,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 39.56/26.09 tff(13665,plain,
% 39.56/26.09 (nextState(constB107, constB108)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13664, 13663])).
% 39.56/26.09 tff(13666,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13667,plain,
% 39.56/26.09 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13668,plain,
% 39.56/26.09 (((~![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))))),
% 39.56/26.09 inference(monotonicity,[status(thm)],[13667])).
% 39.56/26.09 tff(13669,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(transitivity,[status(thm)],[13668, 13666])).
% 39.56/26.09 tff(13670,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13671,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13670, 13669])).
% 39.56/26.09 tff(13672,plain,
% 39.56/26.09 (v110(constB108) | (~v108(constB107))),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13671, 337, 13665])).
% 39.56/26.09 tff(13673,plain,
% 39.56/26.09 (v110(constB108)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13672, 13662])).
% 39.56/26.09 tff(13674,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13675,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13676,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13675, 13674])).
% 39.56/26.09 tff(13677,plain,
% 39.56/26.09 (~v104(constB108)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13676, 355, 13665, 13548])).
% 39.56/26.09 tff(13678,plain,
% 39.56/26.09 (((~![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))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13679,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13680,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13679, 13678])).
% 39.56/26.09 tff(13681,plain,
% 39.56/26.09 (v102(constB108) | v104(constB108)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13680, 369, 13665])).
% 39.56/26.09 tff(13682,plain,
% 39.56/26.09 (v102(constB108)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13681, 13677])).
% 39.56/26.09 tff(13683,plain,
% 39.56/26.09 (v1(constB108) <=> v1(constB108)),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13684,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 39.56/26.09 tff(13685,plain,
% 39.56/26.09 (v1(constB108)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13684, 13683])).
% 39.56/26.09 tff(13686,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13687,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13688,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13687, 13686])).
% 39.56/26.09 tff(13689,plain,
% 39.56/26.09 (v101(constB108) | (~v102(constB108))),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13688, 387, 13665, 13685])).
% 39.56/26.09 tff(13690,plain,
% 39.56/26.09 (v101(constB108)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13689, 13682])).
% 39.56/26.09 tff(13691,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13692,plain,
% 39.56/26.09 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13693,plain,
% 39.56/26.09 (((~![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))))),
% 39.56/26.09 inference(monotonicity,[status(thm)],[13692])).
% 39.56/26.09 tff(13694,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(transitivity,[status(thm)],[13693, 13691])).
% 39.56/26.09 tff(13695,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13696,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13695, 13694])).
% 39.56/26.09 tff(13697,plain,
% 39.56/26.09 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13696, 402, 13665])).
% 39.56/26.09 tff(13698,plain,
% 39.56/26.09 (v100(constB108) | (~v110(constB108))),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13697, 13690])).
% 39.56/26.09 tff(13699,plain,
% 39.56/26.09 (v100(constB108)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13698, 13673])).
% 39.56/26.09 tff(13700,plain,
% 39.56/26.09 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB107)) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB107)) | v130(constB107, bitIndex2))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13701,plain,
% 39.56/26.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB107)) | v130(constB107, bitIndex2))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13702,plain,
% 39.56/26.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB107)) | v130(constB107, bitIndex2)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13701, 13700])).
% 39.56/26.09 tff(13703,plain,
% 39.56/26.09 (v130(constB107, bitIndex2)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13702, 2303, 13641])).
% 39.56/26.09 tff(13704,plain,
% 39.56/26.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13705,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13706,plain,
% 39.56/26.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13705, 13704])).
% 39.56/26.09 tff(13707,plain,
% 39.56/26.09 ((~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13706, 1821, 13653])).
% 39.56/26.09 tff(13708,plain,
% 39.56/26.09 (v127(constB107, bitIndex2)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13707, 13703])).
% 39.56/26.09 tff(13709,plain,
% 39.56/26.09 (((~![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))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13710,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13711,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 39.56/26.09 tff(13712,plain,
% 39.56/26.09 ((~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13711, 1836, 13665])).
% 39.56/26.09 tff(13713,plain,
% 39.56/26.09 (v129(constB108, bitIndex2)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13712, 13708])).
% 39.56/26.09 tff(13714,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13715,plain,
% 39.56/26.09 ((v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13716,plain,
% 39.56/26.09 (((~![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))))),
% 39.56/26.09 inference(monotonicity,[status(thm)],[13715])).
% 39.56/26.09 tff(13717,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(transitivity,[status(thm)],[13716, 13714])).
% 39.56/26.09 tff(13718,plain,
% 39.56/26.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13719,plain,
% 39.56/26.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13718, 13717])).
% 39.56/26.09 tff(13720,plain,
% 39.56/26.09 (v90(constB108, bitIndex2) | (~v100(constB108))),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13719, 2100, 13713])).
% 39.56/26.09 tff(13721,plain,
% 39.56/26.09 (v90(constB108, bitIndex2)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13720, 13699])).
% 39.56/26.09 tff(13722,plain,
% 39.56/26.09 ((~v1(constB109)) <=> (~v1(constB109))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13723,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 39.56/26.09 tff(13724,plain,
% 39.56/26.09 (~v1(constB109)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13723, 13722])).
% 39.56/26.09 tff(13725,plain,
% 39.56/26.09 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13726,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 39.56/26.09 tff(13727,plain,
% 39.56/26.09 (nextState(constB108, constB109)),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13726, 13725])).
% 39.56/26.09 tff(13728,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13729,plain,
% 39.56/26.09 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13730,plain,
% 39.56/26.09 (((~![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))))),
% 39.56/26.09 inference(monotonicity,[status(thm)],[13729])).
% 39.56/26.09 tff(13731,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(transitivity,[status(thm)],[13730, 13728])).
% 39.56/26.09 tff(13732,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13733,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 39.56/26.09 tff(13734,plain,
% 39.56/26.09 (~v101(constB109)),
% 39.56/26.09 inference(unit_resolution,[status(thm)],[13733, 133, 13727, 13724])).
% 39.56/26.09 tff(13735,plain,
% 39.56/26.09 (((~![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)))),
% 39.56/26.09 inference(rewrite,[status(thm)],[])).
% 39.56/26.09 tff(13736,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 39.56/26.09 inference(quant_inst,[status(thm)],[])).
% 39.56/26.09 tff(13737,plain,
% 39.56/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 39.56/26.09 inference(modus_ponens,[status(thm)],[13736, 13735])).
% 39.56/26.10 tff(13738,plain,
% 39.56/26.10 (v101(constB109) | (~v100(constB109))),
% 39.56/26.10 inference(unit_resolution,[status(thm)],[13737, 150, 13727])).
% 39.56/26.10 tff(13739,plain,
% 39.56/26.10 (~v100(constB109)),
% 39.56/26.10 inference(unit_resolution,[status(thm)],[13738, 13734])).
% 39.56/26.10 tff(13740,plain,
% 39.56/26.10 (((~![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))),
% 39.56/26.10 inference(rewrite,[status(thm)],[])).
% 39.56/26.10 tff(13741,plain,
% 39.56/26.10 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2)) <=> ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 39.56/26.10 inference(rewrite,[status(thm)],[])).
% 39.56/26.10 tff(13742,plain,
% 39.56/26.10 (((~![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)))),
% 39.56/26.10 inference(monotonicity,[status(thm)],[13741])).
% 39.56/26.10 tff(13743,plain,
% 39.56/26.10 (((~![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))),
% 39.56/26.10 inference(transitivity,[status(thm)],[13742, 13740])).
% 39.56/26.10 tff(13744,plain,
% 39.56/26.10 ((~![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))),
% 39.56/26.10 inference(quant_inst,[status(thm)],[])).
% 39.56/26.10 tff(13745,plain,
% 39.56/26.10 ((~![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)),
% 39.56/26.10 inference(modus_ponens,[status(thm)],[13744, 13743])).
% 39.56/26.10 tff(13746,plain,
% 39.56/26.10 ((~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2)),
% 39.56/26.10 inference(unit_resolution,[status(thm)],[13745, 2118, 13727])).
% 39.56/26.10 tff(13747,plain,
% 39.56/26.10 ((~v90(constB108, bitIndex2)) | v90(constB109, bitIndex2)),
% 39.56/26.10 inference(unit_resolution,[status(thm)],[13746, 13739])).
% 39.56/26.10 tff(13748,plain,
% 39.56/26.10 (v90(constB109, bitIndex2)),
% 39.56/26.10 inference(unit_resolution,[status(thm)],[13747, 13721])).
% 39.56/26.10 tff(13749,plain,
% 39.56/26.10 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB107)) | v130(constB107, bitIndex1))),
% 39.56/26.10 inference(rewrite,[status(thm)],[])).
% 39.56/26.10 tff(13750,plain,
% 39.56/26.10 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB107)) | v130(constB107, bitIndex1))),
% 39.56/26.10 inference(quant_inst,[status(thm)],[])).
% 39.56/26.10 tff(13751,plain,
% 39.56/26.10 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB107)) | v130(constB107, bitIndex1)),
% 39.56/26.10 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 39.56/26.10 tff(13752,plain,
% 39.56/26.10 (v130(constB107, bitIndex1)),
% 39.56/26.10 inference(unit_resolution,[status(thm)],[13751, 2347, 13641])).
% 39.56/26.10 tff(13753,plain,
% 39.56/26.10 (((~![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))),
% 39.56/26.10 inference(rewrite,[status(thm)],[])).
% 39.56/26.10 tff(13754,plain,
% 39.56/26.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 39.56/26.10 inference(quant_inst,[status(thm)],[])).
% 39.56/26.10 tff(13755,plain,
% 39.56/26.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 39.56/26.10 inference(modus_ponens,[status(thm)],[13754, 13753])).
% 39.56/26.10 tff(13756,plain,
% 39.56/26.10 ((~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 39.56/26.10 inference(unit_resolution,[status(thm)],[13755, 882, 13653])).
% 39.56/26.10 tff(13757,plain,
% 39.56/26.10 (v127(constB107, bitIndex1)),
% 39.56/26.10 inference(unit_resolution,[status(thm)],[13756, 13752])).
% 39.56/26.10 tff(13758,plain,
% 39.56/26.10 (((~![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))),
% 39.56/26.10 inference(rewrite,[status(thm)],[])).
% 39.56/26.10 tff(13759,plain,
% 39.56/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 39.56/26.10 inference(quant_inst,[status(thm)],[])).
% 39.56/26.10 tff(13760,plain,
% 39.56/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 39.56/26.10 inference(modus_ponens,[status(thm)],[13759, 13758])).
% 39.56/26.10 tff(13761,plain,
% 39.56/26.10 ((~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 39.56/26.10 inference(unit_resolution,[status(thm)],[13760, 897, 13665])).
% 39.56/26.10 tff(13762,plain,
% 39.56/26.10 (v129(constB108, bitIndex1)),
% 39.56/26.10 inference(unit_resolution,[status(thm)],[13761, 13757])).
% 39.56/26.10 tff(13763,plain,
% 39.56/26.10 (((~![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)))),
% 39.56/26.10 inference(rewrite,[status(thm)],[])).
% 39.56/26.10 tff(13764,plain,
% 39.56/26.10 ((v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 39.56/26.10 inference(rewrite,[status(thm)],[])).
% 39.56/26.10 tff(13765,plain,
% 39.56/26.10 (((~![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))))),
% 39.56/26.10 inference(monotonicity,[status(thm)],[13764])).
% 39.56/26.10 tff(13766,plain,
% 39.56/26.10 (((~![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)))),
% 39.66/26.10 inference(transitivity,[status(thm)],[13765, 13763])).
% 39.66/26.10 tff(13767,plain,
% 39.66/26.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13768,plain,
% 39.66/26.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13767, 13766])).
% 39.66/26.10 tff(13769,plain,
% 39.66/26.10 (v90(constB108, bitIndex1) | (~v100(constB108))),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13768, 912, 13762])).
% 39.66/26.10 tff(13770,plain,
% 39.66/26.10 (v90(constB108, bitIndex1)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13769, 13699])).
% 39.66/26.10 tff(13771,plain,
% 39.66/26.10 (((~![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))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13772,plain,
% 39.66/26.10 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13773,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(monotonicity,[status(thm)],[13772])).
% 39.66/26.10 tff(13774,plain,
% 39.66/26.10 (((~![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))),
% 39.66/26.10 inference(transitivity,[status(thm)],[13773, 13771])).
% 39.66/26.10 tff(13775,plain,
% 39.66/26.10 ((~![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))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13776,plain,
% 39.66/26.10 ((~![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)),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13775, 13774])).
% 39.66/26.10 tff(13777,plain,
% 39.66/26.10 ((~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13776, 1049, 13727])).
% 39.66/26.10 tff(13778,plain,
% 39.66/26.10 ((~v90(constB108, bitIndex1)) | v90(constB109, bitIndex1)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13777, 13739])).
% 39.66/26.10 tff(13779,plain,
% 39.66/26.10 (v90(constB109, bitIndex1)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13778, 13770])).
% 39.66/26.10 tff(13780,plain,
% 39.66/26.10 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB107)) | (~v130(constB107, bitIndex0)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13781,plain,
% 39.66/26.10 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB107)) | (~v130(constB107, bitIndex0)))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13782,plain,
% 39.66/26.10 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB107)) | (~v130(constB107, bitIndex0))),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13781, 13780])).
% 39.66/26.10 tff(13783,plain,
% 39.66/26.10 (~v130(constB107, bitIndex0)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13782, 1519, 13641])).
% 39.66/26.10 tff(13784,plain,
% 39.66/26.10 (((~![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))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13785,plain,
% 39.66/26.10 ((v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0))) <=> ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13786,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(monotonicity,[status(thm)],[13785])).
% 39.66/26.10 tff(13787,plain,
% 39.66/26.10 (((~![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))),
% 39.66/26.10 inference(transitivity,[status(thm)],[13786, 13784])).
% 39.66/26.10 tff(13788,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13789,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13788, 13787])).
% 39.66/26.10 tff(13790,plain,
% 39.66/26.10 ((~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13789, 944, 13653])).
% 39.66/26.10 tff(13791,plain,
% 39.66/26.10 (~v127(constB107, bitIndex0)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13790, 13783])).
% 39.66/26.10 tff(13792,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13793,plain,
% 39.66/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13794,plain,
% 39.66/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13793, 13792])).
% 39.66/26.10 tff(13795,plain,
% 39.66/26.10 (v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13794, 962, 13665])).
% 39.66/26.10 tff(13796,plain,
% 39.66/26.10 (~v129(constB108, bitIndex0)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13795, 13791])).
% 39.66/26.10 tff(13797,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13798,plain,
% 39.66/26.10 (((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13799,plain,
% 39.66/26.10 (((~![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))))),
% 39.66/26.10 inference(monotonicity,[status(thm)],[13798])).
% 39.66/26.10 tff(13800,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(transitivity,[status(thm)],[13799, 13797])).
% 39.66/26.10 tff(13801,plain,
% 39.66/26.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13802,plain,
% 39.66/26.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13801, 13800])).
% 39.66/26.10 tff(13803,plain,
% 39.66/26.10 ((~v90(constB108, bitIndex0)) | (~v100(constB108))),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13802, 977, 13796])).
% 39.66/26.10 tff(13804,plain,
% 39.66/26.10 (~v90(constB108, bitIndex0)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13803, 13699])).
% 39.66/26.10 tff(13805,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13806,plain,
% 39.66/26.10 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13807,plain,
% 39.66/26.10 (((~![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))))),
% 39.66/26.10 inference(monotonicity,[status(thm)],[13806])).
% 39.66/26.10 tff(13808,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(transitivity,[status(thm)],[13807, 13805])).
% 39.66/26.10 tff(13809,plain,
% 39.66/26.10 ((~![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)))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13810,plain,
% 39.66/26.10 ((~![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))),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13809, 13808])).
% 39.66/26.10 tff(13811,plain,
% 39.66/26.10 (v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13810, 207, 13727])).
% 39.66/26.10 tff(13812,plain,
% 39.66/26.10 (v90(constB108, bitIndex0) | (~v90(constB109, bitIndex0))),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13811, 13739])).
% 39.66/26.10 tff(13813,plain,
% 39.66/26.10 (~v90(constB109, bitIndex0)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13812, 13804])).
% 39.66/26.10 tff(13814,plain,
% 39.66/26.10 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13815,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13816,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109)),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13815, 13814])).
% 39.66/26.10 tff(13817,plain,
% 39.66/26.10 (v125(constB109)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13816, 1308, 13813, 13779, 13748])).
% 39.66/26.10 tff(13818,plain,
% 39.66/26.10 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB109) | (~v125(constB109)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB109) | (~v125(constB109)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13819,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB109) | (~v125(constB109)))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13820,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB109) | (~v125(constB109))),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13819, 13818])).
% 39.66/26.10 tff(13821,plain,
% 39.66/26.10 (v113(constB109)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13820, 1294, 13817])).
% 39.66/26.10 tff(13822,assumption,(v26(constB109)), introduced(assumption)).
% 39.66/26.10 tff(13823,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13824,plain,
% 39.66/26.10 ($false),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13823, 86, 13822])).
% 39.66/26.10 tff(13825,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 39.66/26.10 tff(13826,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13827,plain,
% 39.66/26.10 ((v26(constB109) | (~v113(constB109)) | v112(constB109)) <=> (v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13828,plain,
% 39.66/26.10 (((~![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))))),
% 39.66/26.10 inference(monotonicity,[status(thm)],[13827])).
% 39.66/26.10 tff(13829,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(transitivity,[status(thm)],[13828, 13826])).
% 39.66/26.10 tff(13830,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13831,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109))),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13830, 13829])).
% 39.66/26.10 tff(13832,plain,
% 39.66/26.10 (v112(constB109) | (~v113(constB109))),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13831, 308, 13825])).
% 39.66/26.10 tff(13833,plain,
% 39.66/26.10 (v112(constB109)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13832, 13821])).
% 39.66/26.10 tff(13834,plain,
% 39.66/26.10 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13835,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13836,plain,
% 39.66/26.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109))),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13835, 13834])).
% 39.66/26.10 tff(13837,plain,
% 39.66/26.10 (v108(constB109)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13836, 320, 13833])).
% 39.66/26.10 tff(13838,plain,
% 39.66/26.10 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13839,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 39.66/26.10 tff(13840,plain,
% 39.66/26.10 (nextState(constB109, constB110)),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 39.66/26.10 tff(13841,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13842,plain,
% 39.66/26.10 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13843,plain,
% 39.66/26.10 (((~![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))))),
% 39.66/26.10 inference(monotonicity,[status(thm)],[13842])).
% 39.66/26.10 tff(13844,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(transitivity,[status(thm)],[13843, 13841])).
% 39.66/26.10 tff(13845,plain,
% 39.66/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13846,plain,
% 39.66/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13845, 13844])).
% 39.66/26.10 tff(13847,plain,
% 39.66/26.10 (v110(constB110) | (~v108(constB109))),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13846, 337, 13840])).
% 39.66/26.10 tff(13848,plain,
% 39.66/26.10 (v110(constB110)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13847, 13837])).
% 39.66/26.10 tff(13849,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13850,plain,
% 39.66/26.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13851,plain,
% 39.66/26.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13850, 13849])).
% 39.66/26.10 tff(13852,plain,
% 39.66/26.10 (~v104(constB110)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13851, 355, 13840, 13724])).
% 39.66/26.10 tff(13853,plain,
% 39.66/26.10 (((~![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))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13854,plain,
% 39.66/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 39.66/26.10 inference(quant_inst,[status(thm)],[])).
% 39.66/26.10 tff(13855,plain,
% 39.66/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13854, 13853])).
% 39.66/26.10 tff(13856,plain,
% 39.66/26.10 (v102(constB110) | v104(constB110)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13855, 369, 13840])).
% 39.66/26.10 tff(13857,plain,
% 39.66/26.10 (v102(constB110)),
% 39.66/26.10 inference(unit_resolution,[status(thm)],[13856, 13852])).
% 39.66/26.10 tff(13858,plain,
% 39.66/26.10 (v1(constB110) <=> v1(constB110)),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13859,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 39.66/26.10 tff(13860,plain,
% 39.66/26.10 (v1(constB110)),
% 39.66/26.10 inference(modus_ponens,[status(thm)],[13859, 13858])).
% 39.66/26.10 tff(13861,plain,
% 39.66/26.10 (((~![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)))),
% 39.66/26.10 inference(rewrite,[status(thm)],[])).
% 39.66/26.10 tff(13862,plain,
% 39.66/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13863,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13862, 13861])).
% 39.66/26.11 tff(13864,plain,
% 39.66/26.11 (v101(constB110) | (~v102(constB110))),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13863, 387, 13840, 13860])).
% 39.66/26.11 tff(13865,plain,
% 39.66/26.11 (v101(constB110)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13864, 13857])).
% 39.66/26.11 tff(13866,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13867,plain,
% 39.66/26.11 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13868,plain,
% 39.66/26.11 (((~![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))))),
% 39.66/26.11 inference(monotonicity,[status(thm)],[13867])).
% 39.66/26.11 tff(13869,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(transitivity,[status(thm)],[13868, 13866])).
% 39.66/26.11 tff(13870,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13871,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13870, 13869])).
% 39.66/26.11 tff(13872,plain,
% 39.66/26.11 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13871, 402, 13840])).
% 39.66/26.11 tff(13873,plain,
% 39.66/26.11 (v100(constB110) | (~v110(constB110))),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13872, 13865])).
% 39.66/26.11 tff(13874,plain,
% 39.66/26.11 (v100(constB110)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13873, 13848])).
% 39.66/26.11 tff(13875,plain,
% 39.66/26.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v122(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v122(constB109)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13876,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v122(constB109)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13877,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v122(constB109))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13876, 13875])).
% 39.66/26.11 tff(13878,plain,
% 39.66/26.11 (~v122(constB109)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13877, 3526, 13748])).
% 39.66/26.11 tff(13879,plain,
% 39.66/26.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v120(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v120(constB109)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13880,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v120(constB109)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13881,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v120(constB109))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13880, 13879])).
% 39.66/26.11 tff(13882,plain,
% 39.66/26.11 (~v120(constB109)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13881, 2615, 13779])).
% 39.66/26.11 tff(13883,plain,
% 39.66/26.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v124(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v124(constB109)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13884,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v124(constB109)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13885,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v124(constB109))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 39.66/26.11 tff(13886,plain,
% 39.66/26.11 (~v124(constB109)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13885, 2637, 13779])).
% 39.66/26.11 tff(13887,plain,
% 39.66/26.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v123(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v123(constB109)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13888,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v123(constB109)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13889,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v123(constB109))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 39.66/26.11 tff(13890,plain,
% 39.66/26.11 (~v123(constB109)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13889, 2626, 13779])).
% 39.66/26.11 tff(13891,plain,
% 39.66/26.11 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v90(constB109, bitIndex1)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13892,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex1)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13893,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v90(constB109, bitIndex1))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13892, 13891])).
% 39.66/26.11 tff(13894,plain,
% 39.66/26.11 (~v119(constB109)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13893, 2604, 13779])).
% 39.66/26.11 tff(13895,plain,
% 39.66/26.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v121(constB109)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13896,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v121(constB109)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13897,plain,
% 39.66/26.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v121(constB109))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13896, 13895])).
% 39.66/26.11 tff(13898,plain,
% 39.66/26.11 (~v121(constB109)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13897, 2586, 13748])).
% 39.66/26.11 tff(13899,plain,
% 39.66/26.11 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB109, bitIndex2)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB109, bitIndex2)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13900,plain,
% 39.66/26.11 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2))) <=> ((~v130(constB109, bitIndex2)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13901,plain,
% 39.66/26.11 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB109, bitIndex2)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109)))),
% 39.66/26.11 inference(monotonicity,[status(thm)],[13900])).
% 39.66/26.11 tff(13902,plain,
% 39.66/26.11 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB109, bitIndex2)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))),
% 39.66/26.11 inference(transitivity,[status(thm)],[13901, 13899])).
% 39.66/26.11 tff(13903,plain,
% 39.66/26.11 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13904,plain,
% 39.66/26.11 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB109, bitIndex2)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109)),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13903, 13902])).
% 39.66/26.11 tff(13905,plain,
% 39.66/26.11 (~v130(constB109, bitIndex2)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13904, 1993, 13898, 13894, 13890, 13886, 13882, 13878])).
% 39.66/26.11 tff(13906,plain,
% 39.66/26.11 (((~![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))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13907,plain,
% 39.66/26.11 ((v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2))) <=> ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13908,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(monotonicity,[status(thm)],[13907])).
% 39.66/26.11 tff(13909,plain,
% 39.66/26.11 (((~![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))),
% 39.66/26.11 inference(transitivity,[status(thm)],[13908, 13906])).
% 39.66/26.11 tff(13910,plain,
% 39.66/26.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13911,plain,
% 39.66/26.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13910, 13909])).
% 39.66/26.11 tff(13912,plain,
% 39.66/26.11 ((~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13911, 435, 13825])).
% 39.66/26.11 tff(13913,plain,
% 39.66/26.11 (~v127(constB109, bitIndex2)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13912, 13905])).
% 39.66/26.11 tff(13914,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13915,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13916,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13915, 13914])).
% 39.66/26.11 tff(13917,plain,
% 39.66/26.11 (v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13916, 453, 13840])).
% 39.66/26.11 tff(13918,plain,
% 39.66/26.11 (~v129(constB110, bitIndex2)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13917, 13913])).
% 39.66/26.11 tff(13919,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13920,plain,
% 39.66/26.11 (((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2)) <=> ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13921,plain,
% 39.66/26.11 (((~![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))))),
% 39.66/26.11 inference(monotonicity,[status(thm)],[13920])).
% 39.66/26.11 tff(13922,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(transitivity,[status(thm)],[13921, 13919])).
% 39.66/26.11 tff(13923,plain,
% 39.66/26.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13924,plain,
% 39.66/26.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 39.66/26.11 tff(13925,plain,
% 39.66/26.11 ((~v90(constB110, bitIndex2)) | (~v100(constB110))),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13924, 468, 13918])).
% 39.66/26.11 tff(13926,plain,
% 39.66/26.11 (~v90(constB110, bitIndex2)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13925, 13874])).
% 39.66/26.11 tff(13927,plain,
% 39.66/26.11 ((~v1(constB111)) <=> (~v1(constB111))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13928,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 39.66/26.11 tff(13929,plain,
% 39.66/26.11 (~v1(constB111)),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13928, 13927])).
% 39.66/26.11 tff(13930,plain,
% 39.66/26.11 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13931,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 39.66/26.11 tff(13932,plain,
% 39.66/26.11 (nextState(constB110, constB111)),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13931, 13930])).
% 39.66/26.11 tff(13933,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13934,plain,
% 39.66/26.11 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13935,plain,
% 39.66/26.11 (((~![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))))),
% 39.66/26.11 inference(monotonicity,[status(thm)],[13934])).
% 39.66/26.11 tff(13936,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(transitivity,[status(thm)],[13935, 13933])).
% 39.66/26.11 tff(13937,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13938,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13937, 13936])).
% 39.66/26.11 tff(13939,plain,
% 39.66/26.11 (~v101(constB111)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13938, 133, 13932, 13929])).
% 39.66/26.11 tff(13940,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13941,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13942,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13941, 13940])).
% 39.66/26.11 tff(13943,plain,
% 39.66/26.11 (v101(constB111) | (~v100(constB111))),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13942, 150, 13932])).
% 39.66/26.11 tff(13944,plain,
% 39.66/26.11 (~v100(constB111)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13943, 13939])).
% 39.66/26.11 tff(13945,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13946,plain,
% 39.66/26.11 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))) <=> (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13947,plain,
% 39.66/26.11 (((~![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))))),
% 39.66/26.11 inference(monotonicity,[status(thm)],[13946])).
% 39.66/26.11 tff(13948,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(transitivity,[status(thm)],[13947, 13945])).
% 39.66/26.11 tff(13949,plain,
% 39.66/26.11 ((~![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)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13950,plain,
% 39.66/26.11 ((~![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))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13949, 13948])).
% 39.66/26.11 tff(13951,plain,
% 39.66/26.11 (v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13950, 165, 13932])).
% 39.66/26.11 tff(13952,plain,
% 39.66/26.11 (v90(constB110, bitIndex2) | (~v90(constB111, bitIndex2))),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13951, 13944])).
% 39.66/26.11 tff(13953,plain,
% 39.66/26.11 (~v90(constB111, bitIndex2)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13952, 13926])).
% 39.66/26.11 tff(13954,plain,
% 39.66/26.11 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB109, bitIndex1)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB109, bitIndex1)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13955,plain,
% 39.66/26.11 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1))) <=> ((~v130(constB109, bitIndex1)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13956,plain,
% 39.66/26.11 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB109, bitIndex1)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109)))),
% 39.66/26.11 inference(monotonicity,[status(thm)],[13955])).
% 39.66/26.11 tff(13957,plain,
% 39.66/26.11 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB109, bitIndex1)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))),
% 39.66/26.11 inference(transitivity,[status(thm)],[13956, 13954])).
% 39.66/26.11 tff(13958,plain,
% 39.66/26.11 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13959,plain,
% 39.66/26.11 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB109, bitIndex1)) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109)),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13958, 13957])).
% 39.66/26.11 tff(13960,plain,
% 39.66/26.11 (~v130(constB109, bitIndex1)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13959, 1562, 13898, 13894, 13890, 13886, 13882, 13878])).
% 39.66/26.11 tff(13961,plain,
% 39.66/26.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13962,plain,
% 39.66/26.11 ((v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1))) <=> ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13963,plain,
% 39.66/26.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1)))),
% 39.66/26.11 inference(monotonicity,[status(thm)],[13962])).
% 39.66/26.11 tff(13964,plain,
% 39.66/26.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 39.66/26.11 inference(transitivity,[status(thm)],[13963, 13961])).
% 39.66/26.11 tff(13965,plain,
% 39.66/26.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13966,plain,
% 39.66/26.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1)),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13965, 13964])).
% 39.66/26.11 tff(13967,plain,
% 39.66/26.11 ((~v127(constB109, bitIndex1)) | v130(constB109, bitIndex1)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13966, 527, 13825])).
% 39.66/26.11 tff(13968,plain,
% 39.66/26.11 (~v127(constB109, bitIndex1)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13967, 13960])).
% 39.66/26.11 tff(13969,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13970,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))),
% 39.66/26.11 inference(quant_inst,[status(thm)],[])).
% 39.66/26.11 tff(13971,plain,
% 39.66/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1))),
% 39.66/26.11 inference(modus_ponens,[status(thm)],[13970, 13969])).
% 39.66/26.11 tff(13972,plain,
% 39.66/26.11 (v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1))),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13971, 545, 13840])).
% 39.66/26.11 tff(13973,plain,
% 39.66/26.11 (~v129(constB110, bitIndex1)),
% 39.66/26.11 inference(unit_resolution,[status(thm)],[13972, 13968])).
% 39.66/26.11 tff(13974,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13975,plain,
% 39.66/26.11 (((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1)) <=> ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 39.66/26.11 inference(rewrite,[status(thm)],[])).
% 39.66/26.11 tff(13976,plain,
% 39.66/26.11 (((~![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))))),
% 39.66/26.11 inference(monotonicity,[status(thm)],[13975])).
% 39.66/26.11 tff(13977,plain,
% 39.66/26.11 (((~![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)))),
% 39.66/26.12 inference(transitivity,[status(thm)],[13976, 13974])).
% 39.66/26.12 tff(13978,plain,
% 39.66/26.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(13979,plain,
% 39.66/26.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[13978, 13977])).
% 39.66/26.12 tff(13980,plain,
% 39.66/26.12 ((~v90(constB110, bitIndex1)) | (~v100(constB110))),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[13979, 560, 13973])).
% 39.66/26.12 tff(13981,plain,
% 39.66/26.12 (~v90(constB110, bitIndex1)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[13980, 13874])).
% 39.66/26.12 tff(13982,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(13983,plain,
% 39.66/26.12 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(13984,plain,
% 39.66/26.12 (((~![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))))),
% 39.66/26.12 inference(monotonicity,[status(thm)],[13983])).
% 39.66/26.12 tff(13985,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(transitivity,[status(thm)],[13984, 13982])).
% 39.66/26.12 tff(13986,plain,
% 39.66/26.12 ((~![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)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(13987,plain,
% 39.66/26.12 ((~![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))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[13986, 13985])).
% 39.66/26.12 tff(13988,plain,
% 39.66/26.12 (v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1))),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[13987, 186, 13932])).
% 39.66/26.12 tff(13989,plain,
% 39.66/26.12 (v90(constB110, bitIndex1) | (~v90(constB111, bitIndex1))),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[13988, 13944])).
% 39.66/26.12 tff(13990,plain,
% 39.66/26.12 (~v90(constB111, bitIndex1)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[13989, 13981])).
% 39.66/26.12 tff(13991,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB109, bitIndex0) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB109, bitIndex0) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(13992,plain,
% 39.66/26.12 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0)) <=> (v130(constB109, bitIndex0) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(13993,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB109, bitIndex0) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109)))),
% 39.66/26.12 inference(monotonicity,[status(thm)],[13992])).
% 39.66/26.12 tff(13994,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB109, bitIndex0) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109))),
% 39.66/26.12 inference(transitivity,[status(thm)],[13993, 13991])).
% 39.66/26.12 tff(13995,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(13996,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB109, bitIndex0) | v124(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | v122(constB109) | v123(constB109)),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[13995, 13994])).
% 39.66/26.12 tff(13997,plain,
% 39.66/26.12 (v130(constB109, bitIndex0)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[13996, 2753, 13898, 13894, 13890, 13886, 13882, 13878])).
% 39.66/26.12 tff(13998,plain,
% 39.66/26.12 (((~![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))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(13999,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14000,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[13999, 13998])).
% 39.66/26.12 tff(14001,plain,
% 39.66/26.12 ((~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14000, 601, 13825])).
% 39.66/26.12 tff(14002,plain,
% 39.66/26.12 (v127(constB109, bitIndex0)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14001, 13997])).
% 39.66/26.12 tff(14003,plain,
% 39.66/26.12 (((~![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))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14004,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14005,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14004, 14003])).
% 39.66/26.12 tff(14006,plain,
% 39.66/26.12 ((~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14005, 616, 13840])).
% 39.66/26.12 tff(14007,plain,
% 39.66/26.12 (v129(constB110, bitIndex0)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14006, 14002])).
% 39.66/26.12 tff(14008,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14009,plain,
% 39.66/26.12 ((v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14010,plain,
% 39.66/26.12 (((~![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))))),
% 39.66/26.12 inference(monotonicity,[status(thm)],[14009])).
% 39.66/26.12 tff(14011,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(transitivity,[status(thm)],[14010, 14008])).
% 39.66/26.12 tff(14012,plain,
% 39.66/26.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14013,plain,
% 39.66/26.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 39.66/26.12 tff(14014,plain,
% 39.66/26.12 (v90(constB110, bitIndex0) | (~v100(constB110))),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14013, 631, 14007])).
% 39.66/26.12 tff(14015,plain,
% 39.66/26.12 (v90(constB110, bitIndex0)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14014, 13874])).
% 39.66/26.12 tff(14016,plain,
% 39.66/26.12 (((~![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))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14017,plain,
% 39.66/26.12 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14018,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(monotonicity,[status(thm)],[14017])).
% 39.66/26.12 tff(14019,plain,
% 39.66/26.12 (((~![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))),
% 39.66/26.12 inference(transitivity,[status(thm)],[14018, 14016])).
% 39.66/26.12 tff(14020,plain,
% 39.66/26.12 ((~![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))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14021,plain,
% 39.66/26.12 ((~![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)),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14020, 14019])).
% 39.66/26.12 tff(14022,plain,
% 39.66/26.12 ((~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14021, 649, 13932])).
% 39.66/26.12 tff(14023,plain,
% 39.66/26.12 ((~v90(constB110, bitIndex0)) | v90(constB111, bitIndex0)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14022, 13944])).
% 39.66/26.12 tff(14024,plain,
% 39.66/26.12 (v90(constB111, bitIndex0)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14023, 14015])).
% 39.66/26.12 tff(14025,plain,
% 39.66/26.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14026,plain,
% 39.66/26.12 (((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)) <=> ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14027,plain,
% 39.66/26.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111)))),
% 39.66/26.12 inference(monotonicity,[status(thm)],[14026])).
% 39.66/26.12 tff(14028,plain,
% 39.66/26.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 39.66/26.12 inference(transitivity,[status(thm)],[14027, 14025])).
% 39.66/26.12 tff(14029,plain,
% 39.66/26.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14030,plain,
% 39.66/26.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111)),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14029, 14028])).
% 39.66/26.12 tff(14031,plain,
% 39.66/26.12 (v120(constB111)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14030, 668, 14024, 13990, 13953])).
% 39.66/26.12 tff(14032,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB111) | (~v120(constB111)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB111) | (~v120(constB111)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14033,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB111) | (~v120(constB111)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14034,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB111) | (~v120(constB111))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14033, 14032])).
% 39.66/26.12 tff(14035,plain,
% 39.66/26.12 (v118(constB111)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14034, 778, 14031])).
% 39.66/26.12 tff(14036,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB111) | (~v118(constB111)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14037,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB111) | (~v118(constB111)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14038,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB111) | (~v118(constB111))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 39.66/26.12 tff(14039,plain,
% 39.66/26.12 (v117(constB111)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14038, 250, 14035])).
% 39.66/26.12 tff(14040,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB111) | (~v117(constB111)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14041,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB111) | (~v117(constB111)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14042,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB111) | (~v117(constB111))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14041, 14040])).
% 39.66/26.12 tff(14043,plain,
% 39.66/26.12 (v116(constB111)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14042, 261, 14039])).
% 39.66/26.12 tff(14044,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14045,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14046,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 39.66/26.12 tff(14047,plain,
% 39.66/26.12 (v115(constB111)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14046, 272, 14043])).
% 39.66/26.12 tff(14048,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14049,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14050,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14049, 14048])).
% 39.66/26.12 tff(14051,plain,
% 39.66/26.12 (v114(constB111)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14050, 283, 14047])).
% 39.66/26.12 tff(14052,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14053,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14054,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14053, 14052])).
% 39.66/26.12 tff(14055,plain,
% 39.66/26.12 (v113(constB111)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14054, 294, 14051])).
% 39.66/26.12 tff(14056,assumption,(v26(constB111)), introduced(assumption)).
% 39.66/26.12 tff(14057,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14058,plain,
% 39.66/26.12 ($false),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14057, 86, 14056])).
% 39.66/26.12 tff(14059,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 39.66/26.12 tff(14060,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14061,plain,
% 39.66/26.12 ((v26(constB111) | (~v113(constB111)) | v112(constB111)) <=> (v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14062,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111))))),
% 39.66/26.12 inference(monotonicity,[status(thm)],[14061])).
% 39.66/26.12 tff(14063,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 39.66/26.12 inference(transitivity,[status(thm)],[14062, 14060])).
% 39.66/26.12 tff(14064,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14065,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14064, 14063])).
% 39.66/26.12 tff(14066,plain,
% 39.66/26.12 (v112(constB111) | (~v113(constB111))),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14065, 308, 14059])).
% 39.66/26.12 tff(14067,plain,
% 39.66/26.12 (v112(constB111)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14066, 14055])).
% 39.66/26.12 tff(14068,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14069,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14070,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14069, 14068])).
% 39.66/26.12 tff(14071,plain,
% 39.66/26.12 (v108(constB111)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14070, 320, 14067])).
% 39.66/26.12 tff(14072,plain,
% 39.66/26.12 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14073,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 39.66/26.12 tff(14074,plain,
% 39.66/26.12 (nextState(constB111, constB112)),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14073, 14072])).
% 39.66/26.12 tff(14075,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14076,plain,
% 39.66/26.12 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14077,plain,
% 39.66/26.12 (((~![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))))),
% 39.66/26.12 inference(monotonicity,[status(thm)],[14076])).
% 39.66/26.12 tff(14078,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(transitivity,[status(thm)],[14077, 14075])).
% 39.66/26.12 tff(14079,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14080,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14079, 14078])).
% 39.66/26.12 tff(14081,plain,
% 39.66/26.12 (v110(constB112) | (~v108(constB111))),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14080, 337, 14074])).
% 39.66/26.12 tff(14082,plain,
% 39.66/26.12 (v110(constB112)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14081, 14071])).
% 39.66/26.12 tff(14083,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14084,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14085,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14084, 14083])).
% 39.66/26.12 tff(14086,plain,
% 39.66/26.12 (~v104(constB112)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14085, 355, 14074, 13929])).
% 39.66/26.12 tff(14087,plain,
% 39.66/26.12 (((~![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))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14088,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14089,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14088, 14087])).
% 39.66/26.12 tff(14090,plain,
% 39.66/26.12 (v102(constB112) | v104(constB112)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14089, 369, 14074])).
% 39.66/26.12 tff(14091,plain,
% 39.66/26.12 (v102(constB112)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14090, 14086])).
% 39.66/26.12 tff(14092,plain,
% 39.66/26.12 (v1(constB112) <=> v1(constB112)),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14093,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 39.66/26.12 tff(14094,plain,
% 39.66/26.12 (v1(constB112)),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14093, 14092])).
% 39.66/26.12 tff(14095,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14096,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14097,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14096, 14095])).
% 39.66/26.12 tff(14098,plain,
% 39.66/26.12 (v101(constB112) | (~v102(constB112))),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14097, 387, 14074, 14094])).
% 39.66/26.12 tff(14099,plain,
% 39.66/26.12 (v101(constB112)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14098, 14091])).
% 39.66/26.12 tff(14100,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14101,plain,
% 39.66/26.12 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14102,plain,
% 39.66/26.12 (((~![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))))),
% 39.66/26.12 inference(monotonicity,[status(thm)],[14101])).
% 39.66/26.12 tff(14103,plain,
% 39.66/26.12 (((~![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)))),
% 39.66/26.12 inference(transitivity,[status(thm)],[14102, 14100])).
% 39.66/26.12 tff(14104,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14105,plain,
% 39.66/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 39.66/26.12 tff(14106,plain,
% 39.66/26.12 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14105, 402, 14074])).
% 39.66/26.12 tff(14107,plain,
% 39.66/26.12 (v100(constB112) | (~v110(constB112))),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14106, 14099])).
% 39.66/26.12 tff(14108,plain,
% 39.66/26.12 (v100(constB112)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14107, 14082])).
% 39.66/26.12 tff(14109,plain,
% 39.66/26.12 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB111)) | (~v130(constB111, bitIndex2)))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14110,plain,
% 39.66/26.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex2)))),
% 39.66/26.12 inference(quant_inst,[status(thm)],[])).
% 39.66/26.12 tff(14111,plain,
% 39.66/26.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB111)) | (~v130(constB111, bitIndex2))),
% 39.66/26.12 inference(modus_ponens,[status(thm)],[14110, 14109])).
% 39.66/26.12 tff(14112,plain,
% 39.66/26.12 (~v130(constB111, bitIndex2)),
% 39.66/26.12 inference(unit_resolution,[status(thm)],[14111, 685, 14031])).
% 39.66/26.12 tff(14113,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14114,plain,
% 39.66/26.12 ((v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2))) <=> ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 39.66/26.12 inference(rewrite,[status(thm)],[])).
% 39.66/26.12 tff(14115,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2)))),
% 39.66/26.12 inference(monotonicity,[status(thm)],[14114])).
% 39.66/26.12 tff(14116,plain,
% 39.66/26.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 39.66/26.12 inference(transitivity,[status(thm)],[14115, 14113])).
% 39.66/26.12 tff(14117,plain,
% 39.66/26.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14118,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2)),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14117, 14116])).
% 39.66/26.13 tff(14119,plain,
% 39.66/26.13 ((~v127(constB111, bitIndex2)) | v130(constB111, bitIndex2)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14118, 435, 14059])).
% 39.66/26.13 tff(14120,plain,
% 39.66/26.13 (~v127(constB111, bitIndex2)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14119, 14112])).
% 39.66/26.13 tff(14121,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14122,plain,
% 39.66/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14123,plain,
% 39.66/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14122, 14121])).
% 39.66/26.13 tff(14124,plain,
% 39.66/26.13 (v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14123, 453, 14074])).
% 39.66/26.13 tff(14125,plain,
% 39.66/26.13 (~v129(constB112, bitIndex2)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14124, 14120])).
% 39.66/26.13 tff(14126,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14127,plain,
% 39.66/26.13 (((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2)) <=> ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14128,plain,
% 39.66/26.13 (((~![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))))),
% 39.66/26.13 inference(monotonicity,[status(thm)],[14127])).
% 39.66/26.13 tff(14129,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(transitivity,[status(thm)],[14128, 14126])).
% 39.66/26.13 tff(14130,plain,
% 39.66/26.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14131,plain,
% 39.66/26.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14130, 14129])).
% 39.66/26.13 tff(14132,plain,
% 39.66/26.13 ((~v90(constB112, bitIndex2)) | (~v100(constB112))),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14131, 468, 14125])).
% 39.66/26.13 tff(14133,plain,
% 39.66/26.13 (~v90(constB112, bitIndex2)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14132, 14108])).
% 39.66/26.13 tff(14134,plain,
% 39.66/26.13 ((~v1(constB113)) <=> (~v1(constB113))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14135,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 39.66/26.13 tff(14136,plain,
% 39.66/26.13 (~v1(constB113)),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14135, 14134])).
% 39.66/26.13 tff(14137,plain,
% 39.66/26.13 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14138,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 39.66/26.13 tff(14139,plain,
% 39.66/26.13 (nextState(constB112, constB113)),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14138, 14137])).
% 39.66/26.13 tff(14140,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14141,plain,
% 39.66/26.13 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14142,plain,
% 39.66/26.13 (((~![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))))),
% 39.66/26.13 inference(monotonicity,[status(thm)],[14141])).
% 39.66/26.13 tff(14143,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(transitivity,[status(thm)],[14142, 14140])).
% 39.66/26.13 tff(14144,plain,
% 39.66/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14145,plain,
% 39.66/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14144, 14143])).
% 39.66/26.13 tff(14146,plain,
% 39.66/26.13 (~v101(constB113)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14145, 133, 14139, 14136])).
% 39.66/26.13 tff(14147,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14148,plain,
% 39.66/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14149,plain,
% 39.66/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14148, 14147])).
% 39.66/26.13 tff(14150,plain,
% 39.66/26.13 (v101(constB113) | (~v100(constB113))),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14149, 150, 14139])).
% 39.66/26.13 tff(14151,plain,
% 39.66/26.13 (~v100(constB113)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14150, 14146])).
% 39.66/26.13 tff(14152,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14153,plain,
% 39.66/26.13 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))) <=> (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14154,plain,
% 39.66/26.13 (((~![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))))),
% 39.66/26.13 inference(monotonicity,[status(thm)],[14153])).
% 39.66/26.13 tff(14155,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(transitivity,[status(thm)],[14154, 14152])).
% 39.66/26.13 tff(14156,plain,
% 39.66/26.13 ((~![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)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14157,plain,
% 39.66/26.13 ((~![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))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14156, 14155])).
% 39.66/26.13 tff(14158,plain,
% 39.66/26.13 (v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14157, 165, 14139])).
% 39.66/26.13 tff(14159,plain,
% 39.66/26.13 (v90(constB112, bitIndex2) | (~v90(constB113, bitIndex2))),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14158, 14151])).
% 39.66/26.13 tff(14160,plain,
% 39.66/26.13 (~v90(constB113, bitIndex2)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14159, 14133])).
% 39.66/26.13 tff(14161,plain,
% 39.66/26.13 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14162,plain,
% 39.66/26.13 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14163,plain,
% 39.66/26.13 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1)),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14162, 14161])).
% 39.66/26.13 tff(14164,plain,
% 39.66/26.13 (v130(constB111, bitIndex1)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14163, 868, 14031])).
% 39.66/26.13 tff(14165,plain,
% 39.66/26.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14166,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14167,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14166, 14165])).
% 39.66/26.13 tff(14168,plain,
% 39.66/26.13 ((~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14167, 882, 14059])).
% 39.66/26.13 tff(14169,plain,
% 39.66/26.13 (v127(constB111, bitIndex1)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14168, 14164])).
% 39.66/26.13 tff(14170,plain,
% 39.66/26.13 (((~![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))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14171,plain,
% 39.66/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14172,plain,
% 39.66/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14171, 14170])).
% 39.66/26.13 tff(14173,plain,
% 39.66/26.13 ((~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14172, 897, 14074])).
% 39.66/26.13 tff(14174,plain,
% 39.66/26.13 (v129(constB112, bitIndex1)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14173, 14169])).
% 39.66/26.13 tff(14175,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14176,plain,
% 39.66/26.13 ((v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1))) <=> (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14177,plain,
% 39.66/26.13 (((~![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))))),
% 39.66/26.13 inference(monotonicity,[status(thm)],[14176])).
% 39.66/26.13 tff(14178,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(transitivity,[status(thm)],[14177, 14175])).
% 39.66/26.13 tff(14179,plain,
% 39.66/26.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14180,plain,
% 39.66/26.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14179, 14178])).
% 39.66/26.13 tff(14181,plain,
% 39.66/26.13 (v90(constB112, bitIndex1) | (~v100(constB112))),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14180, 912, 14174])).
% 39.66/26.13 tff(14182,plain,
% 39.66/26.13 (v90(constB112, bitIndex1)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14181, 14108])).
% 39.66/26.13 tff(14183,plain,
% 39.66/26.13 (((~![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))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14184,plain,
% 39.66/26.13 (((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1)) <=> ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14185,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(monotonicity,[status(thm)],[14184])).
% 39.66/26.13 tff(14186,plain,
% 39.66/26.13 (((~![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))),
% 39.66/26.13 inference(transitivity,[status(thm)],[14185, 14183])).
% 39.66/26.13 tff(14187,plain,
% 39.66/26.13 ((~![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))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14188,plain,
% 39.66/26.13 ((~![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)),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14187, 14186])).
% 39.66/26.13 tff(14189,plain,
% 39.66/26.13 ((~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14188, 1049, 14139])).
% 39.66/26.13 tff(14190,plain,
% 39.66/26.13 ((~v90(constB112, bitIndex1)) | v90(constB113, bitIndex1)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14189, 14151])).
% 39.66/26.13 tff(14191,plain,
% 39.66/26.13 (v90(constB113, bitIndex1)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14190, 14182])).
% 39.66/26.13 tff(14192,plain,
% 39.66/26.13 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB111)) | (~v130(constB111, bitIndex0)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14193,plain,
% 39.66/26.13 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex0)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14194,plain,
% 39.66/26.13 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB111)) | (~v130(constB111, bitIndex0))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14193, 14192])).
% 39.66/26.13 tff(14195,plain,
% 39.66/26.13 (~v130(constB111, bitIndex0)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14194, 930, 14031])).
% 39.66/26.13 tff(14196,plain,
% 39.66/26.13 (((~![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))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14197,plain,
% 39.66/26.13 ((v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0))) <=> ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14198,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(monotonicity,[status(thm)],[14197])).
% 39.66/26.13 tff(14199,plain,
% 39.66/26.13 (((~![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))),
% 39.66/26.13 inference(transitivity,[status(thm)],[14198, 14196])).
% 39.66/26.13 tff(14200,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14201,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14200, 14199])).
% 39.66/26.13 tff(14202,plain,
% 39.66/26.13 ((~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14201, 944, 14059])).
% 39.66/26.13 tff(14203,plain,
% 39.66/26.13 (~v127(constB111, bitIndex0)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14202, 14195])).
% 39.66/26.13 tff(14204,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14205,plain,
% 39.66/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14206,plain,
% 39.66/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14205, 14204])).
% 39.66/26.13 tff(14207,plain,
% 39.66/26.13 (v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14206, 962, 14074])).
% 39.66/26.13 tff(14208,plain,
% 39.66/26.13 (~v129(constB112, bitIndex0)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14207, 14203])).
% 39.66/26.13 tff(14209,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14210,plain,
% 39.66/26.13 (((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0)) <=> ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14211,plain,
% 39.66/26.13 (((~![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))))),
% 39.66/26.13 inference(monotonicity,[status(thm)],[14210])).
% 39.66/26.13 tff(14212,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(transitivity,[status(thm)],[14211, 14209])).
% 39.66/26.13 tff(14213,plain,
% 39.66/26.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14214,plain,
% 39.66/26.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14213, 14212])).
% 39.66/26.13 tff(14215,plain,
% 39.66/26.13 ((~v90(constB112, bitIndex0)) | (~v100(constB112))),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14214, 977, 14208])).
% 39.66/26.13 tff(14216,plain,
% 39.66/26.13 (~v90(constB112, bitIndex0)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14215, 14108])).
% 39.66/26.13 tff(14217,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14218,plain,
% 39.66/26.13 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))) <=> (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14219,plain,
% 39.66/26.13 (((~![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))))),
% 39.66/26.13 inference(monotonicity,[status(thm)],[14218])).
% 39.66/26.13 tff(14220,plain,
% 39.66/26.13 (((~![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)))),
% 39.66/26.13 inference(transitivity,[status(thm)],[14219, 14217])).
% 39.66/26.13 tff(14221,plain,
% 39.66/26.13 ((~![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)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14222,plain,
% 39.66/26.13 ((~![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))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14221, 14220])).
% 39.66/26.13 tff(14223,plain,
% 39.66/26.13 (v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14222, 207, 14139])).
% 39.66/26.13 tff(14224,plain,
% 39.66/26.13 (v90(constB112, bitIndex0) | (~v90(constB113, bitIndex0))),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14223, 14151])).
% 39.66/26.13 tff(14225,plain,
% 39.66/26.13 (~v90(constB113, bitIndex0)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14224, 14216])).
% 39.66/26.13 tff(14226,plain,
% 39.66/26.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14227,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14228,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113)),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14227, 14226])).
% 39.66/26.13 tff(14229,plain,
% 39.66/26.13 (v121(constB113)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14228, 996, 14225, 14191, 14160])).
% 39.66/26.13 tff(14230,plain,
% 39.66/26.13 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB113) | (~v121(constB113)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB113) | (~v121(constB113)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14231,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB113) | (~v121(constB113)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14232,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB113) | (~v121(constB113))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14231, 14230])).
% 39.66/26.13 tff(14233,plain,
% 39.66/26.13 (v117(constB113)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14232, 1130, 14229])).
% 39.66/26.13 tff(14234,plain,
% 39.66/26.13 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB113) | (~v117(constB113)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB113) | (~v117(constB113)))),
% 39.66/26.13 inference(rewrite,[status(thm)],[])).
% 39.66/26.13 tff(14235,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB113) | (~v117(constB113)))),
% 39.66/26.13 inference(quant_inst,[status(thm)],[])).
% 39.66/26.13 tff(14236,plain,
% 39.66/26.13 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB113) | (~v117(constB113))),
% 39.66/26.13 inference(modus_ponens,[status(thm)],[14235, 14234])).
% 39.66/26.13 tff(14237,plain,
% 39.66/26.13 (v116(constB113)),
% 39.66/26.13 inference(unit_resolution,[status(thm)],[14236, 261, 14233])).
% 39.66/26.14 tff(14238,plain,
% 39.66/26.14 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB113) | (~v116(constB113)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB113) | (~v116(constB113)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14239,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB113) | (~v116(constB113)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14240,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB113) | (~v116(constB113))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14239, 14238])).
% 39.66/26.14 tff(14241,plain,
% 39.66/26.14 (v115(constB113)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14240, 272, 14237])).
% 39.66/26.14 tff(14242,plain,
% 39.66/26.14 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14243,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14244,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14243, 14242])).
% 39.66/26.14 tff(14245,plain,
% 39.66/26.14 (v114(constB113)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14244, 283, 14241])).
% 39.66/26.14 tff(14246,plain,
% 39.66/26.14 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14247,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14248,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14247, 14246])).
% 39.66/26.14 tff(14249,plain,
% 39.66/26.14 (v113(constB113)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14248, 294, 14245])).
% 39.66/26.14 tff(14250,assumption,(v26(constB113)), introduced(assumption)).
% 39.66/26.14 tff(14251,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14252,plain,
% 39.66/26.14 ($false),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14251, 86, 14250])).
% 39.66/26.14 tff(14253,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 39.66/26.14 tff(14254,plain,
% 39.66/26.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14255,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14256,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | (~v113(constB113)) | v112(constB113)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14255, 14254])).
% 39.66/26.14 tff(14257,plain,
% 39.66/26.14 ((~v113(constB113)) | v112(constB113)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14256, 308, 14253])).
% 39.66/26.14 tff(14258,plain,
% 39.66/26.14 (v112(constB113)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14257, 14249])).
% 39.66/26.14 tff(14259,plain,
% 39.66/26.14 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14260,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14261,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14260, 14259])).
% 39.66/26.14 tff(14262,plain,
% 39.66/26.14 (v108(constB113)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14261, 320, 14258])).
% 39.66/26.14 tff(14263,plain,
% 39.66/26.14 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14264,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 39.66/26.14 tff(14265,plain,
% 39.66/26.14 (nextState(constB113, constB114)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14264, 14263])).
% 39.66/26.14 tff(14266,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14267,plain,
% 39.66/26.14 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14268,plain,
% 39.66/26.14 (((~![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))))),
% 39.66/26.14 inference(monotonicity,[status(thm)],[14267])).
% 39.66/26.14 tff(14269,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(transitivity,[status(thm)],[14268, 14266])).
% 39.66/26.14 tff(14270,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14271,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14270, 14269])).
% 39.66/26.14 tff(14272,plain,
% 39.66/26.14 (v110(constB114) | (~v108(constB113))),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14271, 337, 14265])).
% 39.66/26.14 tff(14273,plain,
% 39.66/26.14 (v110(constB114)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14272, 14262])).
% 39.66/26.14 tff(14274,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14275,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14276,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14275, 14274])).
% 39.66/26.14 tff(14277,plain,
% 39.66/26.14 (~v104(constB114)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14276, 355, 14265, 14136])).
% 39.66/26.14 tff(14278,plain,
% 39.66/26.14 (((~![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))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14279,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14280,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14279, 14278])).
% 39.66/26.14 tff(14281,plain,
% 39.66/26.14 (v102(constB114) | v104(constB114)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14280, 369, 14265])).
% 39.66/26.14 tff(14282,plain,
% 39.66/26.14 (v102(constB114)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14281, 14277])).
% 39.66/26.14 tff(14283,plain,
% 39.66/26.14 (v1(constB114) <=> v1(constB114)),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14284,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 39.66/26.14 tff(14285,plain,
% 39.66/26.14 (v1(constB114)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14284, 14283])).
% 39.66/26.14 tff(14286,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14287,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14288,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14287, 14286])).
% 39.66/26.14 tff(14289,plain,
% 39.66/26.14 (v101(constB114) | (~v102(constB114))),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14288, 387, 14265, 14285])).
% 39.66/26.14 tff(14290,plain,
% 39.66/26.14 (v101(constB114)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14289, 14282])).
% 39.66/26.14 tff(14291,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14292,plain,
% 39.66/26.14 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14293,plain,
% 39.66/26.14 (((~![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))))),
% 39.66/26.14 inference(monotonicity,[status(thm)],[14292])).
% 39.66/26.14 tff(14294,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(transitivity,[status(thm)],[14293, 14291])).
% 39.66/26.14 tff(14295,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14296,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14295, 14294])).
% 39.66/26.14 tff(14297,plain,
% 39.66/26.14 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14296, 402, 14265])).
% 39.66/26.14 tff(14298,plain,
% 39.66/26.14 (v100(constB114) | (~v110(constB114))),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14297, 14290])).
% 39.66/26.14 tff(14299,plain,
% 39.66/26.14 (v100(constB114)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14298, 14273])).
% 39.66/26.14 tff(14300,plain,
% 39.66/26.14 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14301,plain,
% 39.66/26.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14302,plain,
% 39.66/26.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14301, 14300])).
% 39.66/26.14 tff(14303,plain,
% 39.66/26.14 (~v130(constB113, bitIndex2)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14302, 1102, 14229])).
% 39.66/26.14 tff(14304,plain,
% 39.66/26.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14305,plain,
% 39.66/26.14 ((v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2))) <=> ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14306,plain,
% 39.66/26.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)))),
% 39.66/26.14 inference(monotonicity,[status(thm)],[14305])).
% 39.66/26.14 tff(14307,plain,
% 39.66/26.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 39.66/26.14 inference(transitivity,[status(thm)],[14306, 14304])).
% 39.66/26.14 tff(14308,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14309,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14308, 14307])).
% 39.66/26.14 tff(14310,plain,
% 39.66/26.14 ((~v127(constB113, bitIndex2)) | v130(constB113, bitIndex2)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14309, 435, 14253])).
% 39.66/26.14 tff(14311,plain,
% 39.66/26.14 (~v127(constB113, bitIndex2)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14310, 14303])).
% 39.66/26.14 tff(14312,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14313,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14314,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14313, 14312])).
% 39.66/26.14 tff(14315,plain,
% 39.66/26.14 (v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14314, 453, 14265])).
% 39.66/26.14 tff(14316,plain,
% 39.66/26.14 (~v129(constB114, bitIndex2)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14315, 14311])).
% 39.66/26.14 tff(14317,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14318,plain,
% 39.66/26.14 (((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2)) <=> ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14319,plain,
% 39.66/26.14 (((~![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))))),
% 39.66/26.14 inference(monotonicity,[status(thm)],[14318])).
% 39.66/26.14 tff(14320,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(transitivity,[status(thm)],[14319, 14317])).
% 39.66/26.14 tff(14321,plain,
% 39.66/26.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14322,plain,
% 39.66/26.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14321, 14320])).
% 39.66/26.14 tff(14323,plain,
% 39.66/26.14 ((~v90(constB114, bitIndex2)) | (~v100(constB114))),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14322, 468, 14316])).
% 39.66/26.14 tff(14324,plain,
% 39.66/26.14 (~v90(constB114, bitIndex2)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14323, 14299])).
% 39.66/26.14 tff(14325,plain,
% 39.66/26.14 ((~v1(constB115)) <=> (~v1(constB115))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14326,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 39.66/26.14 tff(14327,plain,
% 39.66/26.14 (~v1(constB115)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 39.66/26.14 tff(14328,plain,
% 39.66/26.14 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14329,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 39.66/26.14 tff(14330,plain,
% 39.66/26.14 (nextState(constB114, constB115)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 39.66/26.14 tff(14331,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14332,plain,
% 39.66/26.14 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14333,plain,
% 39.66/26.14 (((~![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))))),
% 39.66/26.14 inference(monotonicity,[status(thm)],[14332])).
% 39.66/26.14 tff(14334,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(transitivity,[status(thm)],[14333, 14331])).
% 39.66/26.14 tff(14335,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14336,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14335, 14334])).
% 39.66/26.14 tff(14337,plain,
% 39.66/26.14 (~v101(constB115)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14336, 133, 14330, 14327])).
% 39.66/26.14 tff(14338,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14339,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14340,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14339, 14338])).
% 39.66/26.14 tff(14341,plain,
% 39.66/26.14 (v101(constB115) | (~v100(constB115))),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14340, 150, 14330])).
% 39.66/26.14 tff(14342,plain,
% 39.66/26.14 (~v100(constB115)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14341, 14337])).
% 39.66/26.14 tff(14343,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14344,plain,
% 39.66/26.14 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))) <=> (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14345,plain,
% 39.66/26.14 (((~![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))))),
% 39.66/26.14 inference(monotonicity,[status(thm)],[14344])).
% 39.66/26.14 tff(14346,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(transitivity,[status(thm)],[14345, 14343])).
% 39.66/26.14 tff(14347,plain,
% 39.66/26.14 ((~![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)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14348,plain,
% 39.66/26.14 ((~![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))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14347, 14346])).
% 39.66/26.14 tff(14349,plain,
% 39.66/26.14 (v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14348, 165, 14330])).
% 39.66/26.14 tff(14350,plain,
% 39.66/26.14 (v90(constB114, bitIndex2) | (~v90(constB115, bitIndex2))),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14349, 14342])).
% 39.66/26.14 tff(14351,plain,
% 39.66/26.14 (~v90(constB115, bitIndex2)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14350, 14324])).
% 39.66/26.14 tff(14352,plain,
% 39.66/26.14 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB113)) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB113)) | v130(constB113, bitIndex1))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14353,plain,
% 39.66/26.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB113)) | v130(constB113, bitIndex1))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14354,plain,
% 39.66/26.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB113)) | v130(constB113, bitIndex1)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14353, 14352])).
% 39.66/26.14 tff(14355,plain,
% 39.66/26.14 (v130(constB113, bitIndex1)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14354, 1717, 14229])).
% 39.66/26.14 tff(14356,plain,
% 39.66/26.14 (((~![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))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14357,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14358,plain,
% 39.66/26.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14357, 14356])).
% 39.66/26.14 tff(14359,plain,
% 39.66/26.14 ((~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14358, 882, 14253])).
% 39.66/26.14 tff(14360,plain,
% 39.66/26.14 (v127(constB113, bitIndex1)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14359, 14355])).
% 39.66/26.14 tff(14361,plain,
% 39.66/26.14 (((~![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))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14362,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14363,plain,
% 39.66/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14362, 14361])).
% 39.66/26.14 tff(14364,plain,
% 39.66/26.14 ((~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14363, 897, 14265])).
% 39.66/26.14 tff(14365,plain,
% 39.66/26.14 (v129(constB114, bitIndex1)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14364, 14360])).
% 39.66/26.14 tff(14366,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14367,plain,
% 39.66/26.14 ((v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14368,plain,
% 39.66/26.14 (((~![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))))),
% 39.66/26.14 inference(monotonicity,[status(thm)],[14367])).
% 39.66/26.14 tff(14369,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(transitivity,[status(thm)],[14368, 14366])).
% 39.66/26.14 tff(14370,plain,
% 39.66/26.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14371,plain,
% 39.66/26.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14370, 14369])).
% 39.66/26.14 tff(14372,plain,
% 39.66/26.14 (v90(constB114, bitIndex1) | (~v100(constB114))),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14371, 912, 14365])).
% 39.66/26.14 tff(14373,plain,
% 39.66/26.14 (v90(constB114, bitIndex1)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14372, 14299])).
% 39.66/26.14 tff(14374,plain,
% 39.66/26.14 (((~![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))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14375,plain,
% 39.66/26.14 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14376,plain,
% 39.66/26.14 (((~![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)))),
% 39.66/26.14 inference(monotonicity,[status(thm)],[14375])).
% 39.66/26.14 tff(14377,plain,
% 39.66/26.14 (((~![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))),
% 39.66/26.14 inference(transitivity,[status(thm)],[14376, 14374])).
% 39.66/26.14 tff(14378,plain,
% 39.66/26.14 ((~![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))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14379,plain,
% 39.66/26.14 ((~![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)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14378, 14377])).
% 39.66/26.14 tff(14380,plain,
% 39.66/26.14 ((~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14379, 1049, 14330])).
% 39.66/26.14 tff(14381,plain,
% 39.66/26.14 ((~v90(constB114, bitIndex1)) | v90(constB115, bitIndex1)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14380, 14342])).
% 39.66/26.14 tff(14382,plain,
% 39.66/26.14 (v90(constB115, bitIndex1)),
% 39.66/26.14 inference(unit_resolution,[status(thm)],[14381, 14373])).
% 39.66/26.14 tff(14383,plain,
% 39.66/26.14 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB113)) | v130(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB113)) | v130(constB113, bitIndex0))),
% 39.66/26.14 inference(rewrite,[status(thm)],[])).
% 39.66/26.14 tff(14384,plain,
% 39.66/26.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB113)) | v130(constB113, bitIndex0))),
% 39.66/26.14 inference(quant_inst,[status(thm)],[])).
% 39.66/26.14 tff(14385,plain,
% 39.66/26.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB113)) | v130(constB113, bitIndex0)),
% 39.66/26.14 inference(modus_ponens,[status(thm)],[14384, 14383])).
% 39.66/26.15 tff(14386,plain,
% 39.66/26.15 (v130(constB113, bitIndex0)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14385, 1758, 14229])).
% 39.66/26.15 tff(14387,plain,
% 39.66/26.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14388,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14389,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14388, 14387])).
% 39.66/26.15 tff(14390,plain,
% 39.66/26.15 ((~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14389, 601, 14253])).
% 39.66/26.15 tff(14391,plain,
% 39.66/26.15 (v127(constB113, bitIndex0)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14390, 14386])).
% 39.66/26.15 tff(14392,plain,
% 39.66/26.15 (((~![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))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14393,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14394,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14393, 14392])).
% 39.66/26.15 tff(14395,plain,
% 39.66/26.15 ((~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14394, 616, 14265])).
% 39.66/26.15 tff(14396,plain,
% 39.66/26.15 (v129(constB114, bitIndex0)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14395, 14391])).
% 39.66/26.15 tff(14397,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14398,plain,
% 39.66/26.15 ((v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0))) <=> (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14399,plain,
% 39.66/26.15 (((~![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))))),
% 39.66/26.15 inference(monotonicity,[status(thm)],[14398])).
% 39.66/26.15 tff(14400,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(transitivity,[status(thm)],[14399, 14397])).
% 39.66/26.15 tff(14401,plain,
% 39.66/26.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14402,plain,
% 39.66/26.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14401, 14400])).
% 39.66/26.15 tff(14403,plain,
% 39.66/26.15 (v90(constB114, bitIndex0) | (~v100(constB114))),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14402, 631, 14396])).
% 39.66/26.15 tff(14404,plain,
% 39.66/26.15 (v90(constB114, bitIndex0)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14403, 14299])).
% 39.66/26.15 tff(14405,plain,
% 39.66/26.15 (((~![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))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14406,plain,
% 39.66/26.15 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0)) <=> ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14407,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(monotonicity,[status(thm)],[14406])).
% 39.66/26.15 tff(14408,plain,
% 39.66/26.15 (((~![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))),
% 39.66/26.15 inference(transitivity,[status(thm)],[14407, 14405])).
% 39.66/26.15 tff(14409,plain,
% 39.66/26.15 ((~![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))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14410,plain,
% 39.66/26.15 ((~![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)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 39.66/26.15 tff(14411,plain,
% 39.66/26.15 ((~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14410, 649, 14330])).
% 39.66/26.15 tff(14412,plain,
% 39.66/26.15 ((~v90(constB114, bitIndex0)) | v90(constB115, bitIndex0)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14411, 14342])).
% 39.66/26.15 tff(14413,plain,
% 39.66/26.15 (v90(constB115, bitIndex0)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14412, 14404])).
% 39.66/26.15 tff(14414,plain,
% 39.66/26.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14415,plain,
% 39.66/26.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14416,plain,
% 39.66/26.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14415, 14414])).
% 39.66/26.15 tff(14417,plain,
% 39.66/26.15 (v122(constB115)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14416, 1184, 14413, 14382, 14351])).
% 39.66/26.15 tff(14418,plain,
% 39.66/26.15 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB115) | (~v122(constB115)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB115) | (~v122(constB115)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14419,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB115) | (~v122(constB115)))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14420,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB115) | (~v122(constB115))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14419, 14418])).
% 39.66/26.15 tff(14421,plain,
% 39.66/26.15 (v116(constB115)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14420, 1149, 14417])).
% 39.66/26.15 tff(14422,plain,
% 39.66/26.15 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB115) | (~v116(constB115)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14423,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB115) | (~v116(constB115)))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14424,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB115) | (~v116(constB115))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14423, 14422])).
% 39.66/26.15 tff(14425,plain,
% 39.66/26.15 (v115(constB115)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14424, 272, 14421])).
% 39.66/26.15 tff(14426,plain,
% 39.66/26.15 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB115) | (~v115(constB115)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14427,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB115) | (~v115(constB115)))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14428,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB115) | (~v115(constB115))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14427, 14426])).
% 39.66/26.15 tff(14429,plain,
% 39.66/26.15 (v114(constB115)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14428, 283, 14425])).
% 39.66/26.15 tff(14430,plain,
% 39.66/26.15 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB115) | (~v114(constB115)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB115) | (~v114(constB115)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14431,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB115) | (~v114(constB115)))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14432,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB115) | (~v114(constB115))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14431, 14430])).
% 39.66/26.15 tff(14433,plain,
% 39.66/26.15 (v113(constB115)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14432, 294, 14429])).
% 39.66/26.15 tff(14434,assumption,(v26(constB115)), introduced(assumption)).
% 39.66/26.15 tff(14435,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14436,plain,
% 39.66/26.15 ($false),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14435, 86, 14434])).
% 39.66/26.15 tff(14437,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 39.66/26.15 tff(14438,plain,
% 39.66/26.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14439,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14440,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | (~v113(constB115)) | v112(constB115)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14439, 14438])).
% 39.66/26.15 tff(14441,plain,
% 39.66/26.15 ((~v113(constB115)) | v112(constB115)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14440, 308, 14437])).
% 39.66/26.15 tff(14442,plain,
% 39.66/26.15 (v112(constB115)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14441, 14433])).
% 39.66/26.15 tff(14443,plain,
% 39.66/26.15 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14444,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14445,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14444, 14443])).
% 39.66/26.15 tff(14446,plain,
% 39.66/26.15 (v108(constB115)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14445, 320, 14442])).
% 39.66/26.15 tff(14447,plain,
% 39.66/26.15 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14448,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 39.66/26.15 tff(14449,plain,
% 39.66/26.15 (nextState(constB115, constB116)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14448, 14447])).
% 39.66/26.15 tff(14450,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14451,plain,
% 39.66/26.15 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14452,plain,
% 39.66/26.15 (((~![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))))),
% 39.66/26.15 inference(monotonicity,[status(thm)],[14451])).
% 39.66/26.15 tff(14453,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(transitivity,[status(thm)],[14452, 14450])).
% 39.66/26.15 tff(14454,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14455,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14454, 14453])).
% 39.66/26.15 tff(14456,plain,
% 39.66/26.15 (v110(constB116) | (~v108(constB115))),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14455, 337, 14449])).
% 39.66/26.15 tff(14457,plain,
% 39.66/26.15 (v110(constB116)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14456, 14446])).
% 39.66/26.15 tff(14458,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14459,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14460,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14459, 14458])).
% 39.66/26.15 tff(14461,plain,
% 39.66/26.15 (~v104(constB116)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14460, 355, 14449, 14327])).
% 39.66/26.15 tff(14462,plain,
% 39.66/26.15 (((~![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))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14463,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14464,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14463, 14462])).
% 39.66/26.15 tff(14465,plain,
% 39.66/26.15 (v102(constB116) | v104(constB116)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14464, 369, 14449])).
% 39.66/26.15 tff(14466,plain,
% 39.66/26.15 (v102(constB116)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14465, 14461])).
% 39.66/26.15 tff(14467,plain,
% 39.66/26.15 (v1(constB116) <=> v1(constB116)),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14468,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 39.66/26.15 tff(14469,plain,
% 39.66/26.15 (v1(constB116)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14468, 14467])).
% 39.66/26.15 tff(14470,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14471,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14472,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14471, 14470])).
% 39.66/26.15 tff(14473,plain,
% 39.66/26.15 (v101(constB116) | (~v102(constB116))),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14472, 387, 14449, 14469])).
% 39.66/26.15 tff(14474,plain,
% 39.66/26.15 (v101(constB116)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14473, 14466])).
% 39.66/26.15 tff(14475,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14476,plain,
% 39.66/26.15 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14477,plain,
% 39.66/26.15 (((~![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))))),
% 39.66/26.15 inference(monotonicity,[status(thm)],[14476])).
% 39.66/26.15 tff(14478,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(transitivity,[status(thm)],[14477, 14475])).
% 39.66/26.15 tff(14479,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14480,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14479, 14478])).
% 39.66/26.15 tff(14481,plain,
% 39.66/26.15 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14480, 402, 14449])).
% 39.66/26.15 tff(14482,plain,
% 39.66/26.15 (v100(constB116) | (~v110(constB116))),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14481, 14474])).
% 39.66/26.15 tff(14483,plain,
% 39.66/26.15 (v100(constB116)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14482, 14457])).
% 39.66/26.15 tff(14484,plain,
% 39.66/26.15 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB115)) | v130(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB115)) | v130(constB115, bitIndex2))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14485,plain,
% 39.66/26.15 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB115)) | v130(constB115, bitIndex2))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14486,plain,
% 39.66/26.15 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB115)) | v130(constB115, bitIndex2)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14485, 14484])).
% 39.66/26.15 tff(14487,plain,
% 39.66/26.15 (v130(constB115, bitIndex2)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14486, 1803, 14417])).
% 39.66/26.15 tff(14488,plain,
% 39.66/26.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14489,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14490,plain,
% 39.66/26.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14489, 14488])).
% 39.66/26.15 tff(14491,plain,
% 39.66/26.15 ((~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14490, 1821, 14437])).
% 39.66/26.15 tff(14492,plain,
% 39.66/26.15 (v127(constB115, bitIndex2)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14491, 14487])).
% 39.66/26.15 tff(14493,plain,
% 39.66/26.15 (((~![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))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14494,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14495,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14494, 14493])).
% 39.66/26.15 tff(14496,plain,
% 39.66/26.15 ((~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14495, 1836, 14449])).
% 39.66/26.15 tff(14497,plain,
% 39.66/26.15 (v129(constB116, bitIndex2)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14496, 14492])).
% 39.66/26.15 tff(14498,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14499,plain,
% 39.66/26.15 ((v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2))) <=> (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14500,plain,
% 39.66/26.15 (((~![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))))),
% 39.66/26.15 inference(monotonicity,[status(thm)],[14499])).
% 39.66/26.15 tff(14501,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(transitivity,[status(thm)],[14500, 14498])).
% 39.66/26.15 tff(14502,plain,
% 39.66/26.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14503,plain,
% 39.66/26.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14502, 14501])).
% 39.66/26.15 tff(14504,plain,
% 39.66/26.15 (v90(constB116, bitIndex2) | (~v100(constB116))),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14503, 2100, 14497])).
% 39.66/26.15 tff(14505,plain,
% 39.66/26.15 (v90(constB116, bitIndex2)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14504, 14483])).
% 39.66/26.15 tff(14506,plain,
% 39.66/26.15 ((~v1(constB117)) <=> (~v1(constB117))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14507,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 39.66/26.15 tff(14508,plain,
% 39.66/26.15 (~v1(constB117)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14507, 14506])).
% 39.66/26.15 tff(14509,plain,
% 39.66/26.15 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14510,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 39.66/26.15 tff(14511,plain,
% 39.66/26.15 (nextState(constB116, constB117)),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14510, 14509])).
% 39.66/26.15 tff(14512,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14513,plain,
% 39.66/26.15 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14514,plain,
% 39.66/26.15 (((~![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))))),
% 39.66/26.15 inference(monotonicity,[status(thm)],[14513])).
% 39.66/26.15 tff(14515,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(transitivity,[status(thm)],[14514, 14512])).
% 39.66/26.15 tff(14516,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14517,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 39.66/26.15 inference(modus_ponens,[status(thm)],[14516, 14515])).
% 39.66/26.15 tff(14518,plain,
% 39.66/26.15 (~v101(constB117)),
% 39.66/26.15 inference(unit_resolution,[status(thm)],[14517, 133, 14511, 14508])).
% 39.66/26.15 tff(14519,plain,
% 39.66/26.15 (((~![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)))),
% 39.66/26.15 inference(rewrite,[status(thm)],[])).
% 39.66/26.15 tff(14520,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 39.66/26.15 inference(quant_inst,[status(thm)],[])).
% 39.66/26.15 tff(14521,plain,
% 39.66/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14520, 14519])).
% 39.66/26.16 tff(14522,plain,
% 39.66/26.16 (v101(constB117) | (~v100(constB117))),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14521, 150, 14511])).
% 39.66/26.16 tff(14523,plain,
% 39.66/26.16 (~v100(constB117)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14522, 14518])).
% 39.66/26.16 tff(14524,plain,
% 39.66/26.16 (((~![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))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14525,plain,
% 39.66/26.16 (((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2)) <=> ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14526,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(monotonicity,[status(thm)],[14525])).
% 39.66/26.16 tff(14527,plain,
% 39.66/26.16 (((~![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))),
% 39.66/26.16 inference(transitivity,[status(thm)],[14526, 14524])).
% 39.66/26.16 tff(14528,plain,
% 39.66/26.16 ((~![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))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14529,plain,
% 39.66/26.16 ((~![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)),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14528, 14527])).
% 39.66/26.16 tff(14530,plain,
% 39.66/26.16 ((~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14529, 2118, 14511])).
% 39.66/26.16 tff(14531,plain,
% 39.66/26.16 ((~v90(constB116, bitIndex2)) | v90(constB117, bitIndex2)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14530, 14523])).
% 39.66/26.16 tff(14532,plain,
% 39.66/26.16 (v90(constB117, bitIndex2)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14531, 14505])).
% 39.66/26.16 tff(14533,plain,
% 39.66/26.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex2)) | v88(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB117, bitIndex2)) | v88(constB117, bitIndex2))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14534,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex2)) | v88(constB117, bitIndex2))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14535,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB117, bitIndex2)) | v88(constB117, bitIndex2)),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14534, 14533])).
% 39.66/26.16 tff(14536,plain,
% 39.66/26.16 (v88(constB117, bitIndex2)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14535, 10566, 14532])).
% 39.66/26.16 tff(14537,plain,
% 39.66/26.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v139(constB117)) | (~v88(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB117)) | (~v88(constB117, bitIndex2)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14538,plain,
% 39.66/26.16 (((~v88(constB117, bitIndex2)) | (~v139(constB117))) <=> ((~v139(constB117)) | (~v88(constB117, bitIndex2)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14539,plain,
% 39.66/26.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v139(constB117)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v139(constB117)) | (~v88(constB117, bitIndex2))))),
% 39.66/26.16 inference(monotonicity,[status(thm)],[14538])).
% 39.66/26.16 tff(14540,plain,
% 39.66/26.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v139(constB117)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB117)) | (~v88(constB117, bitIndex2)))),
% 39.66/26.16 inference(transitivity,[status(thm)],[14539, 14537])).
% 39.66/26.16 tff(14541,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v139(constB117)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14542,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB117)) | (~v88(constB117, bitIndex2))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14541, 14540])).
% 39.66/26.16 tff(14543,plain,
% 39.66/26.16 (~v139(constB117)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14542, 10904, 14536])).
% 39.66/26.16 tff(14544,plain,
% 39.66/26.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v140(constB117)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB117, bitIndex2)) | (~v140(constB117)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14545,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v140(constB117)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14546,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB117, bitIndex2)) | (~v140(constB117))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14545, 14544])).
% 39.66/26.16 tff(14547,plain,
% 39.66/26.16 (~v140(constB117)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14546, 10577, 14536])).
% 39.66/26.16 tff(14548,plain,
% 39.66/26.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB117) | v140(constB117) | (~v170(constB117)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB117) | v140(constB117) | (~v170(constB117)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14549,plain,
% 39.66/26.16 ((v140(constB117) | v139(constB117) | (~v170(constB117))) <=> (v139(constB117) | v140(constB117) | (~v170(constB117)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14550,plain,
% 39.66/26.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB117) | v139(constB117) | (~v170(constB117)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB117) | v140(constB117) | (~v170(constB117))))),
% 39.66/26.16 inference(monotonicity,[status(thm)],[14549])).
% 39.66/26.16 tff(14551,plain,
% 39.66/26.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB117) | v139(constB117) | (~v170(constB117)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB117) | v140(constB117) | (~v170(constB117)))),
% 39.66/26.16 inference(transitivity,[status(thm)],[14550, 14548])).
% 39.66/26.16 tff(14552,plain,
% 39.66/26.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB117) | v139(constB117) | (~v170(constB117)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14553,plain,
% 39.66/26.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB117) | v140(constB117) | (~v170(constB117))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14552, 14551])).
% 39.66/26.16 tff(14554,plain,
% 39.66/26.16 (~v170(constB117)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14553, 10647, 14547, 14543])).
% 39.66/26.16 tff(14555,plain,
% 39.66/26.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB117)) | (~v88(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB117)) | (~v88(constB117, bitIndex2)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14556,plain,
% 39.66/26.16 (((~v88(constB117, bitIndex2)) | (~v141(constB117))) <=> ((~v141(constB117)) | (~v88(constB117, bitIndex2)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14557,plain,
% 39.66/26.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v141(constB117)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB117)) | (~v88(constB117, bitIndex2))))),
% 39.66/26.16 inference(monotonicity,[status(thm)],[14556])).
% 39.66/26.16 tff(14558,plain,
% 39.66/26.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v141(constB117)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB117)) | (~v88(constB117, bitIndex2)))),
% 39.66/26.16 inference(transitivity,[status(thm)],[14557, 14555])).
% 39.66/26.16 tff(14559,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v141(constB117)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14560,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB117)) | (~v88(constB117, bitIndex2))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14559, 14558])).
% 39.66/26.16 tff(14561,plain,
% 39.66/26.16 (~v141(constB117)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14560, 10658, 14536])).
% 39.66/26.16 tff(14562,plain,
% 39.66/26.16 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB117) | v170(constB117) | (~v169(constB117)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB117) | v170(constB117) | (~v169(constB117)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14563,plain,
% 39.66/26.16 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB117) | v170(constB117) | (~v169(constB117)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14564,plain,
% 39.66/26.16 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB117) | v170(constB117) | (~v169(constB117))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14563, 14562])).
% 39.66/26.16 tff(14565,plain,
% 39.66/26.16 (v170(constB117) | (~v169(constB117))),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14564, 11040, 14561])).
% 39.66/26.16 tff(14566,plain,
% 39.66/26.16 (~v169(constB117)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14565, 14554])).
% 39.66/26.16 tff(14567,plain,
% 39.66/26.16 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB115)) | (~v130(constB115, bitIndex1)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14568,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex1)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14569,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB115)) | (~v130(constB115, bitIndex1))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14568, 14567])).
% 39.66/26.16 tff(14570,plain,
% 39.66/26.16 (~v130(constB115, bitIndex1)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14569, 2137, 14417])).
% 39.66/26.16 tff(14571,plain,
% 39.66/26.16 (((~![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))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14572,plain,
% 39.66/26.16 ((v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1))) <=> ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14573,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(monotonicity,[status(thm)],[14572])).
% 39.66/26.16 tff(14574,plain,
% 39.66/26.16 (((~![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))),
% 39.66/26.16 inference(transitivity,[status(thm)],[14573, 14571])).
% 39.66/26.16 tff(14575,plain,
% 39.66/26.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14576,plain,
% 39.66/26.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14575, 14574])).
% 39.66/26.16 tff(14577,plain,
% 39.66/26.16 ((~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14576, 527, 14437])).
% 39.66/26.16 tff(14578,plain,
% 39.66/26.16 (~v127(constB115, bitIndex1)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14577, 14570])).
% 39.66/26.16 tff(14579,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14580,plain,
% 39.66/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14581,plain,
% 39.66/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14580, 14579])).
% 39.66/26.16 tff(14582,plain,
% 39.66/26.16 (v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14581, 545, 14449])).
% 39.66/26.16 tff(14583,plain,
% 39.66/26.16 (~v129(constB116, bitIndex1)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14582, 14578])).
% 39.66/26.16 tff(14584,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14585,plain,
% 39.66/26.16 (((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1)) <=> ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14586,plain,
% 39.66/26.16 (((~![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))))),
% 39.66/26.16 inference(monotonicity,[status(thm)],[14585])).
% 39.66/26.16 tff(14587,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(transitivity,[status(thm)],[14586, 14584])).
% 39.66/26.16 tff(14588,plain,
% 39.66/26.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14589,plain,
% 39.66/26.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14588, 14587])).
% 39.66/26.16 tff(14590,plain,
% 39.66/26.16 ((~v90(constB116, bitIndex1)) | (~v100(constB116))),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14589, 560, 14583])).
% 39.66/26.16 tff(14591,plain,
% 39.66/26.16 (~v90(constB116, bitIndex1)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14590, 14483])).
% 39.66/26.16 tff(14592,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14593,plain,
% 39.66/26.16 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))) <=> (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14594,plain,
% 39.66/26.16 (((~![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))))),
% 39.66/26.16 inference(monotonicity,[status(thm)],[14593])).
% 39.66/26.16 tff(14595,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(transitivity,[status(thm)],[14594, 14592])).
% 39.66/26.16 tff(14596,plain,
% 39.66/26.16 ((~![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)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14597,plain,
% 39.66/26.16 ((~![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))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14596, 14595])).
% 39.66/26.16 tff(14598,plain,
% 39.66/26.16 (v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14597, 186, 14511])).
% 39.66/26.16 tff(14599,plain,
% 39.66/26.16 (v90(constB116, bitIndex1) | (~v90(constB117, bitIndex1))),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14598, 14523])).
% 39.66/26.16 tff(14600,plain,
% 39.66/26.16 (~v90(constB117, bitIndex1)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14599, 14591])).
% 39.66/26.16 tff(14601,plain,
% 39.66/26.16 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14602,plain,
% 39.66/26.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14603,plain,
% 39.66/26.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB117, bitIndex1) | (~v88(constB117, bitIndex1))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14602, 14601])).
% 39.66/26.16 tff(14604,plain,
% 39.66/26.16 (~v88(constB117, bitIndex1)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14603, 10784, 14600])).
% 39.66/26.16 tff(14605,plain,
% 39.66/26.16 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14606,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14607,plain,
% 39.66/26.16 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14606, 14605])).
% 39.66/26.16 tff(14608,plain,
% 39.66/26.16 (~v130(constB115, bitIndex0)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14607, 1486, 14417])).
% 39.66/26.16 tff(14609,plain,
% 39.66/26.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14610,plain,
% 39.66/26.16 ((v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0))) <=> ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14611,plain,
% 39.66/26.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)))),
% 39.66/26.16 inference(monotonicity,[status(thm)],[14610])).
% 39.66/26.16 tff(14612,plain,
% 39.66/26.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 39.66/26.16 inference(transitivity,[status(thm)],[14611, 14609])).
% 39.66/26.16 tff(14613,plain,
% 39.66/26.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14614,plain,
% 39.66/26.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14613, 14612])).
% 39.66/26.16 tff(14615,plain,
% 39.66/26.16 ((~v127(constB115, bitIndex0)) | v130(constB115, bitIndex0)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14614, 944, 14437])).
% 39.66/26.16 tff(14616,plain,
% 39.66/26.16 (~v127(constB115, bitIndex0)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14615, 14608])).
% 39.66/26.16 tff(14617,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14618,plain,
% 39.66/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14619,plain,
% 39.66/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14618, 14617])).
% 39.66/26.16 tff(14620,plain,
% 39.66/26.16 (v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14619, 962, 14449])).
% 39.66/26.16 tff(14621,plain,
% 39.66/26.16 (~v129(constB116, bitIndex0)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14620, 14616])).
% 39.66/26.16 tff(14622,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14623,plain,
% 39.66/26.16 (((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14624,plain,
% 39.66/26.16 (((~![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))))),
% 39.66/26.16 inference(monotonicity,[status(thm)],[14623])).
% 39.66/26.16 tff(14625,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(transitivity,[status(thm)],[14624, 14622])).
% 39.66/26.16 tff(14626,plain,
% 39.66/26.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14627,plain,
% 39.66/26.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14626, 14625])).
% 39.66/26.16 tff(14628,plain,
% 39.66/26.16 ((~v90(constB116, bitIndex0)) | (~v100(constB116))),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14627, 977, 14621])).
% 39.66/26.16 tff(14629,plain,
% 39.66/26.16 (~v90(constB116, bitIndex0)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14628, 14483])).
% 39.66/26.16 tff(14630,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14631,plain,
% 39.66/26.16 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))) <=> (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14632,plain,
% 39.66/26.16 (((~![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))))),
% 39.66/26.16 inference(monotonicity,[status(thm)],[14631])).
% 39.66/26.16 tff(14633,plain,
% 39.66/26.16 (((~![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)))),
% 39.66/26.16 inference(transitivity,[status(thm)],[14632, 14630])).
% 39.66/26.16 tff(14634,plain,
% 39.66/26.16 ((~![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)))),
% 39.66/26.16 inference(quant_inst,[status(thm)],[])).
% 39.66/26.16 tff(14635,plain,
% 39.66/26.16 ((~![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))),
% 39.66/26.16 inference(modus_ponens,[status(thm)],[14634, 14633])).
% 39.66/26.16 tff(14636,plain,
% 39.66/26.16 (v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14635, 207, 14511])).
% 39.66/26.16 tff(14637,plain,
% 39.66/26.16 (v90(constB116, bitIndex0) | (~v90(constB117, bitIndex0))),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14636, 14523])).
% 39.66/26.16 tff(14638,plain,
% 39.66/26.16 (~v90(constB117, bitIndex0)),
% 39.66/26.16 inference(unit_resolution,[status(thm)],[14637, 14629])).
% 39.66/26.16 tff(14639,plain,
% 39.66/26.16 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))))),
% 39.66/26.16 inference(bind,[status(th)],[])).
% 39.66/26.16 tff(14640,plain,
% 39.66/26.16 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 39.66/26.16 inference(quant_intro,[status(thm)],[14639])).
% 39.66/26.16 tff(14641,plain,
% 39.66/26.16 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 39.66/26.16 inference(rewrite,[status(thm)],[])).
% 39.66/26.16 tff(14642,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 39.66/26.17 tff(14643,plain,
% 39.66/26.17 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14642, 14641])).
% 39.66/26.17 tff(14644,plain,(
% 39.66/26.17 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 39.66/26.17 inference(skolemize,[status(sab)],[14643])).
% 39.66/26.17 tff(14645,plain,
% 39.66/26.17 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14644, 14640])).
% 39.66/26.17 tff(14646,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB117, bitIndex0) | (~v88(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB117, bitIndex0) | (~v88(constB117, bitIndex0)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14647,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB117, bitIndex0) | (~v88(constB117, bitIndex0)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14648,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB117, bitIndex0) | (~v88(constB117, bitIndex0))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14647, 14646])).
% 39.66/26.17 tff(14649,plain,
% 39.66/26.17 (~v88(constB117, bitIndex0)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14648, 14645, 14638])).
% 39.66/26.17 tff(14650,plain,
% 39.66/26.17 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)))),
% 39.66/26.17 inference(bind,[status(th)],[])).
% 39.66/26.17 tff(14651,plain,
% 39.66/26.17 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 39.66/26.17 inference(quant_intro,[status(thm)],[14650])).
% 39.66/26.17 tff(14652,plain,
% 39.66/26.17 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14653,plain,
% 39.66/26.17 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v146(VarCurr))), ((((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> (((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v146(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite((((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v146(VarCurr)) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))), ((((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))))),
% 39.66/26.17 inference(bind,[status(th)],[])).
% 39.66/26.17 tff(14654,plain,
% 39.66/26.17 (![VarCurr: $i] : (((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 39.66/26.17 inference(quant_intro,[status(thm)],[14653])).
% 39.66/26.17 tff(14655,axiom,(![VarCurr: $i] : (((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14_1_1_1')).
% 39.66/26.17 tff(14656,plain,
% 39.66/26.17 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14655, 14654])).
% 39.66/26.17 tff(14657,plain,
% 39.66/26.17 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14656, 14652])).
% 39.66/26.17 tff(14658,plain,(
% 39.66/26.17 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 39.66/26.17 inference(skolemize,[status(sab)],[14657])).
% 39.66/26.17 tff(14659,plain,
% 39.66/26.17 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14658, 14651])).
% 39.66/26.17 tff(14660,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v146(constB117) | (~v88(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v146(constB117) | (~v88(constB117, bitIndex2)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14661,plain,
% 39.66/26.17 (((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0) | v146(constB117)) <=> (v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v146(constB117) | (~v88(constB117, bitIndex2)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14662,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0) | v146(constB117))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v146(constB117) | (~v88(constB117, bitIndex2))))),
% 39.66/26.17 inference(monotonicity,[status(thm)],[14661])).
% 39.66/26.17 tff(14663,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0) | v146(constB117))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v146(constB117) | (~v88(constB117, bitIndex2)))),
% 39.66/26.17 inference(transitivity,[status(thm)],[14662, 14660])).
% 39.66/26.17 tff(14664,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0) | v146(constB117))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14665,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v146(constB117) | (~v88(constB117, bitIndex2))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14664, 14663])).
% 39.66/26.17 tff(14666,plain,
% 39.66/26.17 (v146(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14665, 14659, 14536, 14649, 14604])).
% 39.66/26.17 tff(14667,plain,
% 39.66/26.17 (^[VarCurr: $i] : refl((v145(VarCurr) | (~v146(VarCurr))) <=> (v145(VarCurr) | (~v146(VarCurr))))),
% 39.66/26.17 inference(bind,[status(th)],[])).
% 39.66/26.17 tff(14668,plain,
% 39.66/26.17 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 39.66/26.17 inference(quant_intro,[status(thm)],[14667])).
% 39.66/26.17 tff(14669,plain,
% 39.66/26.17 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14670,axiom,(![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_2')).
% 39.66/26.17 tff(14671,plain,
% 39.66/26.17 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14670, 14669])).
% 39.66/26.17 tff(14672,plain,(
% 39.66/26.17 ![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 39.66/26.17 inference(skolemize,[status(sab)],[14671])).
% 39.66/26.17 tff(14673,plain,
% 39.66/26.17 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14672, 14668])).
% 39.66/26.17 tff(14674,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB117) | (~v146(constB117)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB117) | (~v146(constB117)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14675,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB117) | (~v146(constB117)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14676,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB117) | (~v146(constB117))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14675, 14674])).
% 39.66/26.17 tff(14677,plain,
% 39.66/26.17 (v145(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14676, 14673, 14666])).
% 39.66/26.17 tff(14678,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB117) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB117) | (~v145(constB117)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14679,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB117) | (~v145(constB117)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14680,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB117) | (~v145(constB117))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14679, 14678])).
% 39.66/26.17 tff(14681,plain,
% 39.66/26.17 (v165(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14680, 10823, 14677])).
% 39.66/26.17 tff(14682,plain,
% 39.66/26.17 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB117)) | (~v165(constB117)) | v169(constB117))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB117)) | (~v165(constB117)) | v169(constB117))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14683,plain,
% 39.66/26.17 (((~v165(constB117)) | v169(constB117) | (~v162(constB117))) <=> ((~v162(constB117)) | (~v165(constB117)) | v169(constB117))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14684,plain,
% 39.66/26.17 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB117)) | v169(constB117) | (~v162(constB117)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB117)) | (~v165(constB117)) | v169(constB117)))),
% 39.66/26.17 inference(monotonicity,[status(thm)],[14683])).
% 39.66/26.17 tff(14685,plain,
% 39.66/26.17 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB117)) | v169(constB117) | (~v162(constB117)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB117)) | (~v165(constB117)) | v169(constB117))),
% 39.66/26.17 inference(transitivity,[status(thm)],[14684, 14682])).
% 39.66/26.17 tff(14686,plain,
% 39.66/26.17 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB117)) | v169(constB117) | (~v162(constB117)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14687,plain,
% 39.66/26.17 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB117)) | (~v165(constB117)) | v169(constB117)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14686, 14685])).
% 39.66/26.17 tff(14688,plain,
% 39.66/26.17 (~v162(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14687, 11073, 14681, 14566])).
% 39.66/26.17 tff(14689,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB117) | (~v187(constB117)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB117) | (~v187(constB117)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14690,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB117) | (~v187(constB117)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14691,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB117) | (~v187(constB117))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14690, 14689])).
% 39.66/26.17 tff(14692,plain,
% 39.66/26.17 (~v187(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14691, 11087, 14688])).
% 39.66/26.17 tff(14693,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB117) | (~v185(constB117)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB117) | (~v185(constB117)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14694,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB117) | (~v185(constB117)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14695,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB117) | (~v185(constB117))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14694, 14693])).
% 39.66/26.17 tff(14696,plain,
% 39.66/26.17 (~v185(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14695, 11098, 14692])).
% 39.66/26.17 tff(14697,assumption,(v18(constB118)), introduced(assumption)).
% 39.66/26.17 tff(14698,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB118))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14699,plain,
% 39.66/26.17 ($false),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14698, 11110, 14697])).
% 39.66/26.17 tff(14700,plain,(~v18(constB118)), inference(lemma,lemma(discharge,[]))).
% 39.66/26.17 tff(14701,plain,
% 39.66/26.17 (v1(constB118) <=> v1(constB118)),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14702,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 39.66/26.17 tff(14703,plain,
% 39.66/26.17 (v1(constB118)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14702, 14701])).
% 39.66/26.17 tff(14704,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14705,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14706,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14705, 14704])).
% 39.66/26.17 tff(14707,plain,
% 39.66/26.17 (v22(constB118)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14706, 11120, 14703])).
% 39.66/26.17 tff(14708,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB118)) | (~v22(constB118)) | v18(constB118))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB118)) | (~v22(constB118)) | v18(constB118))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14709,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB118)) | (~v22(constB118)) | v18(constB118))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14710,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB118)) | (~v22(constB118)) | v18(constB118)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14709, 14708])).
% 39.66/26.17 tff(14711,plain,
% 39.66/26.17 ((~v19(constB118)) | v18(constB118)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14710, 11134, 14707])).
% 39.66/26.17 tff(14712,plain,
% 39.66/26.17 (~v19(constB118)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14711, 14700])).
% 39.66/26.17 tff(14713,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14714,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14715,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14714, 14713])).
% 39.66/26.17 tff(14716,plain,
% 39.66/26.17 (v13(constB118)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14715, 11149, 14712])).
% 39.66/26.17 tff(14717,plain,
% 39.66/26.17 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14718,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 39.66/26.17 tff(14719,plain,
% 39.66/26.17 (nextState(constB117, constB118)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14718, 14717])).
% 39.66/26.17 tff(14720,plain,
% 39.66/26.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14721,plain,
% 39.66/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14722,plain,
% 39.66/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14721, 14720])).
% 39.66/26.17 tff(14723,plain,
% 39.66/26.17 ((~v13(constB118)) | v9(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14722, 11163, 14719])).
% 39.66/26.17 tff(14724,plain,
% 39.66/26.17 (v9(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14723, 14716])).
% 39.66/26.17 tff(14725,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v184(constB117))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB117) | (~v9(constB117)) | v184(constB117))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14726,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v184(constB117))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14727,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB117) | (~v9(constB117)) | v184(constB117)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14726, 14725])).
% 39.66/26.17 tff(14728,plain,
% 39.66/26.17 ((~v9(constB117)) | v184(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14727, 11178, 14508])).
% 39.66/26.17 tff(14729,plain,
% 39.66/26.17 (v184(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14728, 14724])).
% 39.66/26.17 tff(14730,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB117) | (~v184(constB117)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB117) | (~v184(constB117)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14731,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB117) | (~v184(constB117)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14732,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB117) | (~v184(constB117))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14731, 14730])).
% 39.66/26.17 tff(14733,plain,
% 39.66/26.17 (v183(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14732, 11190, 14729])).
% 39.66/26.17 tff(14734,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB117)) | (~v183(constB117)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB117)) | (~v183(constB117)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14735,plain,
% 39.66/26.17 (((~v183(constB117)) | (~v181(constB117))) <=> ((~v181(constB117)) | (~v183(constB117)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14736,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB117)) | (~v181(constB117)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB117)) | (~v183(constB117))))),
% 39.66/26.17 inference(monotonicity,[status(thm)],[14735])).
% 39.66/26.17 tff(14737,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB117)) | (~v181(constB117)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB117)) | (~v183(constB117)))),
% 39.66/26.17 inference(transitivity,[status(thm)],[14736, 14734])).
% 39.66/26.17 tff(14738,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB117)) | (~v181(constB117)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14739,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB117)) | (~v183(constB117))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14738, 14737])).
% 39.66/26.17 tff(14740,plain,
% 39.66/26.17 (~v181(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14739, 11201, 14733])).
% 39.66/26.17 tff(14741,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB117) | v185(constB117) | (~v178(constB117)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB117) | v185(constB117) | (~v178(constB117)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14742,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB117) | v185(constB117) | (~v178(constB117)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14743,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB117) | v185(constB117) | (~v178(constB117))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14742, 14741])).
% 39.66/26.17 tff(14744,plain,
% 39.66/26.17 (v185(constB117) | (~v178(constB117))),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14743, 11215, 14740])).
% 39.66/26.17 tff(14745,plain,
% 39.66/26.17 (~v178(constB117)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14744, 14696])).
% 39.66/26.17 tff(14746,plain,
% 39.66/26.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB117, constB118)) | v178(constB117) | (~v180(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB117, constB118)) | v178(constB117) | (~v180(constB118)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14747,plain,
% 39.66/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB117, constB118)) | v178(constB117) | (~v180(constB118)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14748,plain,
% 39.66/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB117, constB118)) | v178(constB117) | (~v180(constB118))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14747, 14746])).
% 39.66/26.17 tff(14749,plain,
% 39.66/26.17 (v178(constB117) | (~v180(constB118))),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14748, 11230, 14719])).
% 39.66/26.17 tff(14750,plain,
% 39.66/26.17 (~v180(constB118)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14749, 14745])).
% 39.66/26.17 tff(14751,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB118) | (~v181(constB118)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB118) | (~v181(constB118)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14752,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB118) | (~v181(constB118)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14753,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB118) | (~v181(constB118))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14752, 14751])).
% 39.66/26.17 tff(14754,plain,
% 39.66/26.17 (~v181(constB118)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14753, 11242, 14750])).
% 39.66/26.17 tff(14755,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB118)) | (~v184(constB118)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB118)) | (~v184(constB118)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14756,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB118)) | (~v184(constB118)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14757,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB118)) | (~v184(constB118))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14756, 14755])).
% 39.66/26.17 tff(14758,plain,
% 39.66/26.17 (~v184(constB118)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14757, 11253, 14703])).
% 39.66/26.17 tff(14759,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB118) | (~v187(constB118)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB118) | (~v187(constB118)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14760,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB118) | (~v187(constB118)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14761,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB118) | (~v187(constB118))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14760, 14759])).
% 39.66/26.17 tff(14762,plain,
% 39.66/26.17 (~v187(constB118)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14761, 11264, 14758])).
% 39.66/26.17 tff(14763,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB118) | (~v185(constB118)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB118) | (~v185(constB118)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14764,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB118) | (~v185(constB118)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14765,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB118) | (~v185(constB118))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14764, 14763])).
% 39.66/26.17 tff(14766,plain,
% 39.66/26.17 (~v185(constB118)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14765, 11098, 14762])).
% 39.66/26.17 tff(14767,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB118) | v185(constB118) | (~v178(constB118)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB118) | v185(constB118) | (~v178(constB118)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14768,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB118) | v185(constB118) | (~v178(constB118)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14769,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB118) | v185(constB118) | (~v178(constB118))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14768, 14767])).
% 39.66/26.17 tff(14770,plain,
% 39.66/26.17 (v181(constB118) | (~v178(constB118))),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14769, 11215, 14766])).
% 39.66/26.17 tff(14771,plain,
% 39.66/26.17 (~v178(constB118)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14770, 14754])).
% 39.66/26.17 tff(14772,plain,
% 39.66/26.17 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14773,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 39.66/26.17 tff(14774,plain,
% 39.66/26.17 (nextState(constB118, constB119)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14773, 14772])).
% 39.66/26.17 tff(14775,plain,
% 39.66/26.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB118, constB119)) | v178(constB118) | (~v180(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB118, constB119)) | v178(constB118) | (~v180(constB119)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14776,plain,
% 39.66/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB118, constB119)) | v178(constB118) | (~v180(constB119)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14777,plain,
% 39.66/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB118, constB119)) | v178(constB118) | (~v180(constB119))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 39.66/26.17 tff(14778,plain,
% 39.66/26.17 (v178(constB118) | (~v180(constB119))),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14777, 11230, 14774])).
% 39.66/26.17 tff(14779,plain,
% 39.66/26.17 (~v180(constB119)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14778, 14771])).
% 39.66/26.17 tff(14780,plain,
% 39.66/26.17 ($false),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14779, 11289])).
% 39.66/26.17 tff(14781,plain,((~(constB119 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 39.66/26.17 tff(14782,plain,
% 39.66/26.17 (~(constB119 = sK0_VarCurr)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14781, 10998])).
% 39.66/26.17 tff(14783,assumption,(constB107 = sK0_VarCurr), introduced(assumption)).
% 39.66/26.17 tff(14784,plain,
% 39.66/26.17 (v86(constB107) <=> v86(sK0_VarCurr)),
% 39.66/26.17 inference(monotonicity,[status(thm)],[14783])).
% 39.66/26.17 tff(14785,plain,
% 39.66/26.17 (v86(sK0_VarCurr) <=> v86(constB107)),
% 39.66/26.17 inference(symmetry,[status(thm)],[14784])).
% 39.66/26.17 tff(14786,plain,
% 39.66/26.17 ((~v86(sK0_VarCurr)) <=> (~v86(constB107))),
% 39.66/26.17 inference(monotonicity,[status(thm)],[14785])).
% 39.66/26.17 tff(14787,plain,
% 39.66/26.17 (~v86(constB107)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[77, 14786])).
% 39.66/26.17 tff(14788,plain,
% 39.66/26.17 (((~![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))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14789,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex2)) | v88(constB107, bitIndex2))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14790,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex2)) | v88(constB107, bitIndex2)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14789, 14788])).
% 39.66/26.17 tff(14791,plain,
% 39.66/26.17 (v88(constB107, bitIndex2)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14790, 10566, 13572])).
% 39.66/26.17 tff(14792,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB107, bitIndex2)) | (~v140(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB107, bitIndex2)) | (~v140(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14793,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB107, bitIndex2)) | (~v140(constB107)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14794,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB107, bitIndex2)) | (~v140(constB107))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14793, 14792])).
% 39.66/26.17 tff(14795,plain,
% 39.66/26.17 (~v140(constB107)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14794, 10577, 14791])).
% 39.66/26.17 tff(14796,plain,
% 39.66/26.17 (((~![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))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14797,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14798,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0)),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 39.66/26.17 tff(14799,plain,
% 39.66/26.17 (v88(constB107, bitIndex0)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14798, 10622, 13637])).
% 39.66/26.17 tff(14800,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v139(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v139(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14801,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v139(constB107)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14802,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v139(constB107))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14801, 14800])).
% 39.66/26.17 tff(14803,plain,
% 39.66/26.17 (~v139(constB107)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14802, 10633, 14799])).
% 39.66/26.17 tff(14804,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB107) | v140(constB107) | (~v170(constB107)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB107) | v140(constB107) | (~v170(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14805,plain,
% 39.66/26.17 ((v140(constB107) | v139(constB107) | (~v170(constB107))) <=> (v139(constB107) | v140(constB107) | (~v170(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14806,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB107) | v139(constB107) | (~v170(constB107)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB107) | v140(constB107) | (~v170(constB107))))),
% 39.66/26.17 inference(monotonicity,[status(thm)],[14805])).
% 39.66/26.17 tff(14807,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB107) | v139(constB107) | (~v170(constB107)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB107) | v140(constB107) | (~v170(constB107)))),
% 39.66/26.17 inference(transitivity,[status(thm)],[14806, 14804])).
% 39.66/26.17 tff(14808,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB107) | v139(constB107) | (~v170(constB107)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14809,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB107) | v140(constB107) | (~v170(constB107))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14808, 14807])).
% 39.66/26.17 tff(14810,plain,
% 39.66/26.17 (~v170(constB107)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14809, 10647, 14803, 14795])).
% 39.66/26.17 tff(14811,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB107, bitIndex2)) | (~v141(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB107, bitIndex2)) | (~v141(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14812,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB107, bitIndex2)) | (~v141(constB107)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14813,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB107, bitIndex2)) | (~v141(constB107))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14812, 14811])).
% 39.66/26.17 tff(14814,plain,
% 39.66/26.17 (~v141(constB107)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14813, 10658, 14791])).
% 39.66/26.17 tff(14815,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB107) | v170(constB107) | (~v167(constB107)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB107) | v170(constB107) | (~v167(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14816,plain,
% 39.66/26.17 ((v141(constB107) | (~v167(constB107)) | v170(constB107)) <=> (v141(constB107) | v170(constB107) | (~v167(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14817,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB107) | (~v167(constB107)) | v170(constB107))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB107) | v170(constB107) | (~v167(constB107))))),
% 39.66/26.17 inference(monotonicity,[status(thm)],[14816])).
% 39.66/26.17 tff(14818,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB107) | (~v167(constB107)) | v170(constB107))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB107) | v170(constB107) | (~v167(constB107)))),
% 39.66/26.17 inference(transitivity,[status(thm)],[14817, 14815])).
% 39.66/26.17 tff(14819,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB107) | (~v167(constB107)) | v170(constB107))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14820,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB107) | v170(constB107) | (~v167(constB107))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14819, 14818])).
% 39.66/26.17 tff(14821,plain,
% 39.66/26.17 (~v167(constB107)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14820, 10672, 14814, 14810])).
% 39.66/26.17 tff(14822,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v143(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v143(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14823,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v143(constB107)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14824,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v143(constB107))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14823, 14822])).
% 39.66/26.17 tff(14825,plain,
% 39.66/26.17 (~v143(constB107)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14824, 10686, 14799])).
% 39.66/26.17 tff(14826,plain,
% 39.66/26.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v144(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v144(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14827,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v144(constB107)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14828,plain,
% 39.66/26.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v144(constB107))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14827, 14826])).
% 39.66/26.17 tff(14829,plain,
% 39.66/26.17 (~v144(constB107)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14828, 10697, 14799])).
% 39.66/26.17 tff(14830,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB107) | v144(constB107) | (~v142(constB107)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB107) | v144(constB107) | (~v142(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14831,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB107) | v144(constB107) | (~v142(constB107)))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14832,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB107) | v144(constB107) | (~v142(constB107))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14831, 14830])).
% 39.66/26.17 tff(14833,plain,
% 39.66/26.17 (~v142(constB107)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14832, 10711, 14829, 14825])).
% 39.66/26.17 tff(14834,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB107) | v167(constB107) | (~v166(constB107)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB107) | v167(constB107) | (~v166(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14835,plain,
% 39.66/26.17 ((v142(constB107) | (~v166(constB107)) | v167(constB107)) <=> (v142(constB107) | v167(constB107) | (~v166(constB107)))),
% 39.66/26.17 inference(rewrite,[status(thm)],[])).
% 39.66/26.17 tff(14836,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB107) | (~v166(constB107)) | v167(constB107))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB107) | v167(constB107) | (~v166(constB107))))),
% 39.66/26.17 inference(monotonicity,[status(thm)],[14835])).
% 39.66/26.17 tff(14837,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB107) | (~v166(constB107)) | v167(constB107))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB107) | v167(constB107) | (~v166(constB107)))),
% 39.66/26.17 inference(transitivity,[status(thm)],[14836, 14834])).
% 39.66/26.17 tff(14838,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB107) | (~v166(constB107)) | v167(constB107))),
% 39.66/26.17 inference(quant_inst,[status(thm)],[])).
% 39.66/26.17 tff(14839,plain,
% 39.66/26.17 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB107) | v167(constB107) | (~v166(constB107))),
% 39.66/26.17 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 39.66/26.17 tff(14840,plain,
% 39.66/26.17 (~v166(constB107)),
% 39.66/26.17 inference(unit_resolution,[status(thm)],[14839, 10725, 14833, 14821])).
% 39.66/26.17 tff(14841,plain,
% 39.66/26.17 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB107) | v166(constB107))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB107) | v166(constB107))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14842,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB107) | v166(constB107))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14843,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB107) | v166(constB107)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 39.66/26.18 tff(14844,plain,
% 39.66/26.18 (v148(constB107)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14843, 10739, 14840])).
% 39.66/26.18 tff(14845,plain,
% 39.66/26.18 (((~![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)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14846,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14847,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14846, 14845])).
% 39.66/26.18 tff(14848,plain,
% 39.66/26.18 (~v88(constB107, bitIndex1)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14847, 10784, 13606])).
% 39.66/26.18 tff(14849,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2)) | v147(constB107))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2)) | v147(constB107))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14850,plain,
% 39.66/26.18 (((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107)) <=> (v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2)) | v147(constB107))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14851,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2)) | v147(constB107)))),
% 39.66/26.18 inference(monotonicity,[status(thm)],[14850])).
% 39.66/26.18 tff(14852,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2)) | v147(constB107))),
% 39.66/26.18 inference(transitivity,[status(thm)],[14851, 14849])).
% 39.66/26.18 tff(14853,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14854,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | (~v88(constB107, bitIndex2)) | v147(constB107)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14853, 14852])).
% 39.66/26.18 tff(14855,plain,
% 39.66/26.18 (v147(constB107)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14854, 10798, 14799, 14791, 14848])).
% 39.66/26.18 tff(14856,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB107) | (~v147(constB107)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB107) | (~v147(constB107)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14857,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB107) | (~v147(constB107)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14858,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB107) | (~v147(constB107))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14857, 14856])).
% 39.66/26.18 tff(14859,plain,
% 39.66/26.18 (v145(constB107)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14858, 10812, 14855])).
% 39.66/26.18 tff(14860,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB107) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB107) | (~v145(constB107)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14861,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB107) | (~v145(constB107)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14862,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB107) | (~v145(constB107))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14861, 14860])).
% 39.66/26.18 tff(14863,plain,
% 39.66/26.18 (v165(constB107)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14862, 10823, 14859])).
% 39.66/26.18 tff(14864,plain,
% 39.66/26.18 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB107) | (~v165(constB107)) | (~v148(constB107)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB107) | (~v165(constB107)) | (~v148(constB107)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14865,plain,
% 39.66/26.18 (((~v148(constB107)) | (~v165(constB107)) | v86(constB107)) <=> (v86(constB107) | (~v165(constB107)) | (~v148(constB107)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14866,plain,
% 39.66/26.18 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB107)) | (~v165(constB107)) | v86(constB107))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB107) | (~v165(constB107)) | (~v148(constB107))))),
% 39.66/26.18 inference(monotonicity,[status(thm)],[14865])).
% 39.66/26.18 tff(14867,plain,
% 39.66/26.18 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB107)) | (~v165(constB107)) | v86(constB107))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB107) | (~v165(constB107)) | (~v148(constB107)))),
% 39.66/26.18 inference(transitivity,[status(thm)],[14866, 14864])).
% 39.66/26.18 tff(14868,plain,
% 39.66/26.18 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB107)) | (~v165(constB107)) | v86(constB107))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14869,plain,
% 39.66/26.18 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB107) | (~v165(constB107)) | (~v148(constB107))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14868, 14867])).
% 39.66/26.18 tff(14870,plain,
% 39.66/26.18 (v86(constB107) | (~v148(constB107))),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14869, 10837, 14863])).
% 39.66/26.18 tff(14871,plain,
% 39.66/26.18 (v86(constB107)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14870, 14844])).
% 39.66/26.18 tff(14872,plain,
% 39.66/26.18 ($false),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14871, 14787])).
% 39.66/26.18 tff(14873,plain,((~(constB107 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.66/26.18 tff(14874,plain,
% 39.66/26.18 (~(constB107 = sK0_VarCurr)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14873, 72])).
% 39.66/26.18 tff(14875,assumption,(constB95 = sK0_VarCurr), introduced(assumption)).
% 39.66/26.18 tff(14876,plain,
% 39.66/26.18 (v180(constB95) <=> v180(sK0_VarCurr)),
% 39.66/26.18 inference(monotonicity,[status(thm)],[14875])).
% 39.66/26.18 tff(14877,plain,
% 39.66/26.18 (v180(sK0_VarCurr) <=> v180(constB95)),
% 39.66/26.18 inference(symmetry,[status(thm)],[14876])).
% 39.66/26.18 tff(14878,plain,
% 39.66/26.18 (v180(constB95)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[11002, 14877])).
% 39.66/26.18 tff(14879,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14880,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14881,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB93, bitIndex2)) | v88(constB93, bitIndex2)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14880, 14879])).
% 39.66/26.18 tff(14882,plain,
% 39.66/26.18 (v88(constB93, bitIndex2)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14881, 10566, 12234])).
% 39.66/26.18 tff(14883,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v139(constB93)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v139(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14884,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v139(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14885,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v139(constB93))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14884, 14883])).
% 39.66/26.18 tff(14886,plain,
% 39.66/26.18 (~v139(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14885, 10904, 14882])).
% 39.66/26.18 tff(14887,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB93)) | (~v88(constB93, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB93)) | (~v88(constB93, bitIndex2)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14888,plain,
% 39.66/26.18 (((~v88(constB93, bitIndex2)) | (~v140(constB93))) <=> ((~v140(constB93)) | (~v88(constB93, bitIndex2)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14889,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v140(constB93)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB93)) | (~v88(constB93, bitIndex2))))),
% 39.66/26.18 inference(monotonicity,[status(thm)],[14888])).
% 39.66/26.18 tff(14890,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v140(constB93)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB93)) | (~v88(constB93, bitIndex2)))),
% 39.66/26.18 inference(transitivity,[status(thm)],[14889, 14887])).
% 39.66/26.18 tff(14891,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v140(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14892,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB93)) | (~v88(constB93, bitIndex2))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14891, 14890])).
% 39.66/26.18 tff(14893,plain,
% 39.66/26.18 (~v140(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14892, 10577, 14882])).
% 39.66/26.18 tff(14894,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v170(constB93)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB93) | v139(constB93) | (~v170(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14895,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v170(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14896,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB93) | v139(constB93) | (~v170(constB93))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14895, 14894])).
% 39.66/26.18 tff(14897,plain,
% 39.66/26.18 (~v170(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14896, 10647, 14893, 14886])).
% 39.66/26.18 tff(14898,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB93)) | (~v88(constB93, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB93)) | (~v88(constB93, bitIndex2)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14899,plain,
% 39.66/26.18 (((~v88(constB93, bitIndex2)) | (~v141(constB93))) <=> ((~v141(constB93)) | (~v88(constB93, bitIndex2)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14900,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v141(constB93)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB93)) | (~v88(constB93, bitIndex2))))),
% 39.66/26.18 inference(monotonicity,[status(thm)],[14899])).
% 39.66/26.18 tff(14901,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v141(constB93)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB93)) | (~v88(constB93, bitIndex2)))),
% 39.66/26.18 inference(transitivity,[status(thm)],[14900, 14898])).
% 39.66/26.18 tff(14902,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v141(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14903,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB93)) | (~v88(constB93, bitIndex2))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14902, 14901])).
% 39.66/26.18 tff(14904,plain,
% 39.66/26.18 (~v141(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14903, 10658, 14882])).
% 39.66/26.18 tff(14905,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB93) | v170(constB93) | (~v169(constB93)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB93) | v170(constB93) | (~v169(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14906,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB93) | v170(constB93) | (~v169(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14907,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB93) | v170(constB93) | (~v169(constB93))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14906, 14905])).
% 39.66/26.18 tff(14908,plain,
% 39.66/26.18 (v170(constB93) | (~v169(constB93))),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14907, 11040, 14904])).
% 39.66/26.18 tff(14909,plain,
% 39.66/26.18 (~v169(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14908, 14897])).
% 39.66/26.18 tff(14910,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB93, bitIndex1) | (~v88(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB93, bitIndex1) | (~v88(constB93, bitIndex1)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14911,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB93, bitIndex1) | (~v88(constB93, bitIndex1)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14912,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB93, bitIndex1) | (~v88(constB93, bitIndex1))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14911, 14910])).
% 39.66/26.18 tff(14913,plain,
% 39.66/26.18 (~v88(constB93, bitIndex1)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14912, 10784, 12268])).
% 39.66/26.18 tff(14914,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB93, bitIndex0) | (~v88(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB93, bitIndex0) | (~v88(constB93, bitIndex0)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14915,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB93, bitIndex0) | (~v88(constB93, bitIndex0)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14916,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB93, bitIndex0) | (~v88(constB93, bitIndex0))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14915, 14914])).
% 39.66/26.18 tff(14917,plain,
% 39.66/26.18 (~v88(constB93, bitIndex0)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14916, 14645, 12298])).
% 39.66/26.18 tff(14918,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB93, bitIndex0) | v146(constB93) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB93, bitIndex0) | v146(constB93) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14919,plain,
% 39.66/26.18 (((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93)) <=> (v88(constB93, bitIndex0) | v146(constB93) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14920,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB93, bitIndex0) | v146(constB93) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1)))),
% 39.66/26.18 inference(monotonicity,[status(thm)],[14919])).
% 39.66/26.18 tff(14921,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB93, bitIndex0) | v146(constB93) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1))),
% 39.66/26.18 inference(transitivity,[status(thm)],[14920, 14918])).
% 39.66/26.18 tff(14922,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0) | v146(constB93))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14923,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB93, bitIndex0) | v146(constB93) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 39.66/26.18 tff(14924,plain,
% 39.66/26.18 (v146(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14923, 14659, 14882, 14917, 14913])).
% 39.66/26.18 tff(14925,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB93) | (~v146(constB93)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB93) | (~v146(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14926,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB93) | (~v146(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14927,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB93) | (~v146(constB93))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14926, 14925])).
% 39.66/26.18 tff(14928,plain,
% 39.66/26.18 (v145(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14927, 14673, 14924])).
% 39.66/26.18 tff(14929,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB93) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB93) | (~v145(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14930,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB93) | (~v145(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14931,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB93) | (~v145(constB93))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14930, 14929])).
% 39.66/26.18 tff(14932,plain,
% 39.66/26.18 (v165(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14931, 10823, 14928])).
% 39.66/26.18 tff(14933,plain,
% 39.66/26.18 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB93)) | (~v165(constB93)) | v169(constB93))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB93)) | (~v165(constB93)) | v169(constB93))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14934,plain,
% 39.66/26.18 (((~v165(constB93)) | v169(constB93) | (~v162(constB93))) <=> ((~v162(constB93)) | (~v165(constB93)) | v169(constB93))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14935,plain,
% 39.66/26.18 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB93)) | v169(constB93) | (~v162(constB93)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB93)) | (~v165(constB93)) | v169(constB93)))),
% 39.66/26.18 inference(monotonicity,[status(thm)],[14934])).
% 39.66/26.18 tff(14936,plain,
% 39.66/26.18 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB93)) | v169(constB93) | (~v162(constB93)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB93)) | (~v165(constB93)) | v169(constB93))),
% 39.66/26.18 inference(transitivity,[status(thm)],[14935, 14933])).
% 39.66/26.18 tff(14937,plain,
% 39.66/26.18 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB93)) | v169(constB93) | (~v162(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14938,plain,
% 39.66/26.18 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB93)) | (~v165(constB93)) | v169(constB93)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14937, 14936])).
% 39.66/26.18 tff(14939,plain,
% 39.66/26.18 (~v162(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14938, 11073, 14932, 14909])).
% 39.66/26.18 tff(14940,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB93) | (~v187(constB93)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB93) | (~v187(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14941,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB93) | (~v187(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14942,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB93) | (~v187(constB93))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14941, 14940])).
% 39.66/26.18 tff(14943,plain,
% 39.66/26.18 (~v187(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14942, 11087, 14939])).
% 39.66/26.18 tff(14944,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB93) | (~v185(constB93)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB93) | (~v185(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14945,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB93) | (~v185(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14946,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB93) | (~v185(constB93))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14945, 14944])).
% 39.66/26.18 tff(14947,plain,
% 39.66/26.18 (~v185(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14946, 11098, 14943])).
% 39.66/26.18 tff(14948,assumption,(v18(constB94)), introduced(assumption)).
% 39.66/26.18 tff(14949,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB94))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14950,plain,
% 39.66/26.18 ($false),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14949, 11110, 14948])).
% 39.66/26.18 tff(14951,plain,(~v18(constB94)), inference(lemma,lemma(discharge,[]))).
% 39.66/26.18 tff(14952,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14953,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14954,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14953, 14952])).
% 39.66/26.18 tff(14955,plain,
% 39.66/26.18 (v22(constB94)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14954, 11120, 12357])).
% 39.66/26.18 tff(14956,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB94)) | (~v22(constB94)) | v18(constB94))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB94)) | (~v22(constB94)) | v18(constB94))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14957,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB94)) | (~v22(constB94)) | v18(constB94))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14958,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB94)) | (~v22(constB94)) | v18(constB94)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14957, 14956])).
% 39.66/26.18 tff(14959,plain,
% 39.66/26.18 ((~v19(constB94)) | v18(constB94)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14958, 11134, 14955])).
% 39.66/26.18 tff(14960,plain,
% 39.66/26.18 (~v19(constB94)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14959, 14951])).
% 39.66/26.18 tff(14961,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14962,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14963,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14962, 14961])).
% 39.66/26.18 tff(14964,plain,
% 39.66/26.18 (v13(constB94)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14963, 11149, 14960])).
% 39.66/26.18 tff(14965,plain,
% 39.66/26.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14966,plain,
% 39.66/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14967,plain,
% 39.66/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14966, 14965])).
% 39.66/26.18 tff(14968,plain,
% 39.66/26.18 ((~v13(constB94)) | v9(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14967, 11163, 12337])).
% 39.66/26.18 tff(14969,plain,
% 39.66/26.18 (v9(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14968, 14964])).
% 39.66/26.18 tff(14970,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v184(constB93))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB93) | (~v9(constB93)) | v184(constB93))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14971,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v184(constB93))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14972,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB93) | (~v9(constB93)) | v184(constB93)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14971, 14970])).
% 39.66/26.18 tff(14973,plain,
% 39.66/26.18 ((~v9(constB93)) | v184(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14972, 11178, 12210])).
% 39.66/26.18 tff(14974,plain,
% 39.66/26.18 (v184(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14973, 14969])).
% 39.66/26.18 tff(14975,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB93) | (~v184(constB93)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB93) | (~v184(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14976,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB93) | (~v184(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14977,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB93) | (~v184(constB93))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14976, 14975])).
% 39.66/26.18 tff(14978,plain,
% 39.66/26.18 (v183(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14977, 11190, 14974])).
% 39.66/26.18 tff(14979,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB93)) | (~v183(constB93)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB93)) | (~v183(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14980,plain,
% 39.66/26.18 (((~v183(constB93)) | (~v181(constB93))) <=> ((~v181(constB93)) | (~v183(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14981,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB93)) | (~v181(constB93)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB93)) | (~v183(constB93))))),
% 39.66/26.18 inference(monotonicity,[status(thm)],[14980])).
% 39.66/26.18 tff(14982,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB93)) | (~v181(constB93)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB93)) | (~v183(constB93)))),
% 39.66/26.18 inference(transitivity,[status(thm)],[14981, 14979])).
% 39.66/26.18 tff(14983,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB93)) | (~v181(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14984,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB93)) | (~v183(constB93))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14983, 14982])).
% 39.66/26.18 tff(14985,plain,
% 39.66/26.18 (~v181(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14984, 11201, 14978])).
% 39.66/26.18 tff(14986,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB93) | v185(constB93) | (~v178(constB93)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB93) | v185(constB93) | (~v178(constB93)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14987,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB93) | v185(constB93) | (~v178(constB93)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14988,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB93) | v185(constB93) | (~v178(constB93))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14987, 14986])).
% 39.66/26.18 tff(14989,plain,
% 39.66/26.18 (v185(constB93) | (~v178(constB93))),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14988, 11215, 14985])).
% 39.66/26.18 tff(14990,plain,
% 39.66/26.18 (~v178(constB93)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14989, 14947])).
% 39.66/26.18 tff(14991,plain,
% 39.66/26.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14992,plain,
% 39.66/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14993,plain,
% 39.66/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14992, 14991])).
% 39.66/26.18 tff(14994,plain,
% 39.66/26.18 (v178(constB93) | (~v180(constB94))),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14993, 11230, 12337])).
% 39.66/26.18 tff(14995,plain,
% 39.66/26.18 (~v180(constB94)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14994, 14990])).
% 39.66/26.18 tff(14996,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB94) | (~v181(constB94)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB94) | (~v181(constB94)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(14997,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB94) | (~v181(constB94)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(14998,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB94) | (~v181(constB94))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[14997, 14996])).
% 39.66/26.18 tff(14999,plain,
% 39.66/26.18 (~v181(constB94)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[14998, 11242, 14995])).
% 39.66/26.18 tff(15000,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB94)) | (~v184(constB94)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB94)) | (~v184(constB94)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(15001,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB94)) | (~v184(constB94)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(15002,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB94)) | (~v184(constB94))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[15001, 15000])).
% 39.66/26.18 tff(15003,plain,
% 39.66/26.18 (~v184(constB94)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15002, 11253, 12357])).
% 39.66/26.18 tff(15004,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB94) | (~v187(constB94)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB94) | (~v187(constB94)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(15005,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB94) | (~v187(constB94)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(15006,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB94) | (~v187(constB94))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[15005, 15004])).
% 39.66/26.18 tff(15007,plain,
% 39.66/26.18 (~v187(constB94)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15006, 11264, 15003])).
% 39.66/26.18 tff(15008,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB94) | (~v185(constB94)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB94) | (~v185(constB94)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(15009,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB94) | (~v185(constB94)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(15010,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB94) | (~v185(constB94))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[15009, 15008])).
% 39.66/26.18 tff(15011,plain,
% 39.66/26.18 (~v185(constB94)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15010, 11098, 15007])).
% 39.66/26.18 tff(15012,plain,
% 39.66/26.18 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB94) | v185(constB94) | (~v178(constB94)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB94) | v185(constB94) | (~v178(constB94)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(15013,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB94) | v185(constB94) | (~v178(constB94)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(15014,plain,
% 39.66/26.18 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB94) | v185(constB94) | (~v178(constB94))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 39.66/26.18 tff(15015,plain,
% 39.66/26.18 (v181(constB94) | (~v178(constB94))),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15014, 11215, 15011])).
% 39.66/26.18 tff(15016,plain,
% 39.66/26.18 (~v178(constB94)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15015, 14999])).
% 39.66/26.18 tff(15017,plain,
% 39.66/26.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(15018,plain,
% 39.66/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(15019,plain,
% 39.66/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[15018, 15017])).
% 39.66/26.18 tff(15020,plain,
% 39.66/26.18 (v178(constB94) | (~v180(constB95))),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15019, 11230, 12403])).
% 39.66/26.18 tff(15021,plain,
% 39.66/26.18 (~v180(constB95)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15020, 15016])).
% 39.66/26.18 tff(15022,plain,
% 39.66/26.18 ($false),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15021, 14878])).
% 39.66/26.18 tff(15023,plain,((~(constB95 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 39.66/26.18 tff(15024,plain,
% 39.66/26.18 (~(constB95 = sK0_VarCurr)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15023, 10998])).
% 39.66/26.18 tff(15025,assumption,(constB57 = sK0_VarCurr), introduced(assumption)).
% 39.66/26.18 tff(15026,plain,
% 39.66/26.18 (v86(constB57) <=> v86(sK0_VarCurr)),
% 39.66/26.18 inference(monotonicity,[status(thm)],[15025])).
% 39.66/26.18 tff(15027,plain,
% 39.66/26.18 (v86(sK0_VarCurr) <=> v86(constB57)),
% 39.66/26.18 inference(symmetry,[status(thm)],[15026])).
% 39.66/26.18 tff(15028,plain,
% 39.66/26.18 ((~v86(sK0_VarCurr)) <=> (~v86(constB57))),
% 39.66/26.18 inference(monotonicity,[status(thm)],[15027])).
% 39.66/26.18 tff(15029,plain,
% 39.66/26.18 (~v86(constB57)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[77, 15028])).
% 39.66/26.18 tff(15030,plain,
% 39.66/26.18 (((~![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))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(15031,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex2)) | v88(constB57, bitIndex2))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(15032,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB57, bitIndex2)) | v88(constB57, bitIndex2)),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[15031, 15030])).
% 39.66/26.18 tff(15033,plain,
% 39.66/26.18 (v88(constB57, bitIndex2)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15032, 10566, 7884])).
% 39.66/26.18 tff(15034,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v139(constB57)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v139(constB57)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(15035,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v139(constB57)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(15036,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v139(constB57))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[15035, 15034])).
% 39.66/26.18 tff(15037,plain,
% 39.66/26.18 (~v139(constB57)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15036, 10904, 15033])).
% 39.66/26.18 tff(15038,plain,
% 39.66/26.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v140(constB57)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v140(constB57)))),
% 39.66/26.18 inference(rewrite,[status(thm)],[])).
% 39.66/26.18 tff(15039,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v140(constB57)))),
% 39.66/26.18 inference(quant_inst,[status(thm)],[])).
% 39.66/26.18 tff(15040,plain,
% 39.66/26.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v140(constB57))),
% 39.66/26.18 inference(modus_ponens,[status(thm)],[15039, 15038])).
% 39.66/26.18 tff(15041,plain,
% 39.66/26.18 (~v140(constB57)),
% 39.66/26.18 inference(unit_resolution,[status(thm)],[15040, 10577, 15033])).
% 39.66/26.18 tff(15042,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB57) | v139(constB57) | (~v170(constB57)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB57) | v139(constB57) | (~v170(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15043,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB57) | v139(constB57) | (~v170(constB57)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15044,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB57) | v139(constB57) | (~v170(constB57))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15043, 15042])).
% 39.66/26.19 tff(15045,plain,
% 39.66/26.19 (~v170(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15044, 10647, 15041, 15037])).
% 39.66/26.19 tff(15046,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v141(constB57)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v141(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15047,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v141(constB57)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15048,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v141(constB57))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15047, 15046])).
% 39.66/26.19 tff(15049,plain,
% 39.66/26.19 (~v141(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15048, 10658, 15033])).
% 39.66/26.19 tff(15050,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB57) | v170(constB57) | (~v167(constB57)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB57) | v170(constB57) | (~v167(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15051,plain,
% 39.66/26.19 ((v141(constB57) | (~v167(constB57)) | v170(constB57)) <=> (v141(constB57) | v170(constB57) | (~v167(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15052,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB57) | (~v167(constB57)) | v170(constB57))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB57) | v170(constB57) | (~v167(constB57))))),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15051])).
% 39.66/26.19 tff(15053,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB57) | (~v167(constB57)) | v170(constB57))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB57) | v170(constB57) | (~v167(constB57)))),
% 39.66/26.19 inference(transitivity,[status(thm)],[15052, 15050])).
% 39.66/26.19 tff(15054,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB57) | (~v167(constB57)) | v170(constB57))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15055,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB57) | v170(constB57) | (~v167(constB57))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15054, 15053])).
% 39.66/26.19 tff(15056,plain,
% 39.66/26.19 (v170(constB57) | (~v167(constB57))),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15055, 10672, 15049])).
% 39.66/26.19 tff(15057,plain,
% 39.66/26.19 (~v167(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15056, 15045])).
% 39.66/26.19 tff(15058,plain,
% 39.66/26.19 (((~![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)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15059,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15060,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15059, 15058])).
% 39.66/26.19 tff(15061,plain,
% 39.66/26.19 (~v88(constB57, bitIndex1)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15060, 10784, 7890])).
% 39.66/26.19 tff(15062,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB57, bitIndex1) | (~v144(constB57)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB57, bitIndex1) | (~v144(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15063,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB57, bitIndex1) | (~v144(constB57)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15064,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB57, bitIndex1) | (~v144(constB57))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15063, 15062])).
% 39.66/26.19 tff(15065,plain,
% 39.66/26.19 (~v144(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15064, 10868, 15061])).
% 39.66/26.19 tff(15066,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v143(constB57)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v143(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15067,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB57, bitIndex2)) | (~v143(constB57)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15068,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB57, bitIndex2)) | (~v143(constB57))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15067, 15066])).
% 39.66/26.19 tff(15069,plain,
% 39.66/26.19 (~v143(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15068, 10885, 15033])).
% 39.66/26.19 tff(15070,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB57) | v144(constB57) | (~v142(constB57)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB57) | v144(constB57) | (~v142(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15071,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB57) | v144(constB57) | (~v142(constB57)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15072,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB57) | v144(constB57) | (~v142(constB57))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15071, 15070])).
% 39.66/26.19 tff(15073,plain,
% 39.66/26.19 (~v142(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15072, 10711, 15069, 15065])).
% 39.66/26.19 tff(15074,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB57) | v167(constB57) | (~v166(constB57)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB57) | v167(constB57) | (~v166(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15075,plain,
% 39.66/26.19 ((v142(constB57) | (~v166(constB57)) | v167(constB57)) <=> (v142(constB57) | v167(constB57) | (~v166(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15076,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB57) | (~v166(constB57)) | v167(constB57))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB57) | v167(constB57) | (~v166(constB57))))),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15075])).
% 39.66/26.19 tff(15077,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB57) | (~v166(constB57)) | v167(constB57))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB57) | v167(constB57) | (~v166(constB57)))),
% 39.66/26.19 inference(transitivity,[status(thm)],[15076, 15074])).
% 39.66/26.19 tff(15078,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB57) | (~v166(constB57)) | v167(constB57))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15079,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB57) | v167(constB57) | (~v166(constB57))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15078, 15077])).
% 39.66/26.19 tff(15080,plain,
% 39.66/26.19 (~v166(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15079, 10725, 15073, 15057])).
% 39.66/26.19 tff(15081,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB57) | v166(constB57))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB57) | v166(constB57))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15082,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB57) | v166(constB57))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15083,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB57) | v166(constB57)),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15082, 15081])).
% 39.66/26.19 tff(15084,plain,
% 39.66/26.19 (v148(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15083, 10739, 15080])).
% 39.66/26.19 tff(15085,plain,
% 39.66/26.19 (((~![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)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15086,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB57, bitIndex0) | (~v88(constB57, bitIndex0)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15087,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB57, bitIndex0) | (~v88(constB57, bitIndex0))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15086, 15085])).
% 39.66/26.19 tff(15088,plain,
% 39.66/26.19 (~v88(constB57, bitIndex0)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15087, 14645, 7896])).
% 39.66/26.19 tff(15089,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0) | v146(constB57))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0) | v146(constB57))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15090,plain,
% 39.66/26.19 (((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0) | v146(constB57)) <=> (v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0) | v146(constB57))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15091,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0) | v146(constB57))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0) | v146(constB57)))),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15090])).
% 39.66/26.19 tff(15092,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0) | v146(constB57))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0) | v146(constB57))),
% 39.66/26.19 inference(transitivity,[status(thm)],[15091, 15089])).
% 39.66/26.19 tff(15093,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0) | v146(constB57))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15094,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0) | v146(constB57)),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15093, 15092])).
% 39.66/26.19 tff(15095,plain,
% 39.66/26.19 (v146(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15094, 14659, 15033, 15088, 15061])).
% 39.66/26.19 tff(15096,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB57) | (~v146(constB57)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB57) | (~v146(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15097,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB57) | (~v146(constB57)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15098,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB57) | (~v146(constB57))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15097, 15096])).
% 39.66/26.19 tff(15099,plain,
% 39.66/26.19 (v145(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15098, 14673, 15095])).
% 39.66/26.19 tff(15100,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB57) | (~v145(constB57)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB57) | (~v145(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15101,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB57) | (~v145(constB57)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15102,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB57) | (~v145(constB57))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15101, 15100])).
% 39.66/26.19 tff(15103,plain,
% 39.66/26.19 (v165(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15102, 10823, 15099])).
% 39.66/26.19 tff(15104,plain,
% 39.66/26.19 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB57) | (~v165(constB57)) | (~v148(constB57)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB57) | (~v165(constB57)) | (~v148(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15105,plain,
% 39.66/26.19 (((~v148(constB57)) | (~v165(constB57)) | v86(constB57)) <=> (v86(constB57) | (~v165(constB57)) | (~v148(constB57)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15106,plain,
% 39.66/26.19 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB57)) | (~v165(constB57)) | v86(constB57))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB57) | (~v165(constB57)) | (~v148(constB57))))),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15105])).
% 39.66/26.19 tff(15107,plain,
% 39.66/26.19 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB57)) | (~v165(constB57)) | v86(constB57))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB57) | (~v165(constB57)) | (~v148(constB57)))),
% 39.66/26.19 inference(transitivity,[status(thm)],[15106, 15104])).
% 39.66/26.19 tff(15108,plain,
% 39.66/26.19 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB57)) | (~v165(constB57)) | v86(constB57))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15109,plain,
% 39.66/26.19 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB57) | (~v165(constB57)) | (~v148(constB57))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15108, 15107])).
% 39.66/26.19 tff(15110,plain,
% 39.66/26.19 (v86(constB57) | (~v148(constB57))),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15109, 10837, 15103])).
% 39.66/26.19 tff(15111,plain,
% 39.66/26.19 (v86(constB57)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15110, 15084])).
% 39.66/26.19 tff(15112,plain,
% 39.66/26.19 ($false),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15111, 15029])).
% 39.66/26.19 tff(15113,plain,((~(constB57 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.66/26.19 tff(15114,plain,
% 39.66/26.19 (~(constB57 = sK0_VarCurr)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15113, 72])).
% 39.66/26.19 tff(15115,assumption,(constB11 = sK0_VarCurr), introduced(assumption)).
% 39.66/26.19 tff(15116,plain,
% 39.66/26.19 (v86(constB11) <=> v86(sK0_VarCurr)),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15115])).
% 39.66/26.19 tff(15117,plain,
% 39.66/26.19 (v86(sK0_VarCurr) <=> v86(constB11)),
% 39.66/26.19 inference(symmetry,[status(thm)],[15116])).
% 39.66/26.19 tff(15118,plain,
% 39.66/26.19 ((~v86(sK0_VarCurr)) <=> (~v86(constB11))),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15117])).
% 39.66/26.19 tff(15119,plain,
% 39.66/26.19 (~v86(constB11)),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[77, 15118])).
% 39.66/26.19 tff(15120,plain,
% 39.66/26.19 (((~![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))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15121,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB11, bitIndex2)) | v88(constB11, bitIndex2))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15122,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB11, bitIndex2)) | v88(constB11, bitIndex2)),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15121, 15120])).
% 39.66/26.19 tff(15123,plain,
% 39.66/26.19 (v88(constB11, bitIndex2)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15122, 10566, 2214])).
% 39.66/26.19 tff(15124,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v140(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB11, bitIndex2)) | (~v140(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15125,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v140(constB11)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15126,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB11, bitIndex2)) | (~v140(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15125, 15124])).
% 39.66/26.19 tff(15127,plain,
% 39.66/26.19 (~v140(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15126, 10577, 15123])).
% 39.66/26.19 tff(15128,plain,
% 39.66/26.19 (((~![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))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15129,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15130,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0)),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15129, 15128])).
% 39.66/26.19 tff(15131,plain,
% 39.66/26.19 (v88(constB11, bitIndex0)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15130, 10622, 2289])).
% 39.66/26.19 tff(15132,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v139(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v139(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15133,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v139(constB11)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15134,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v139(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15133, 15132])).
% 39.66/26.19 tff(15135,plain,
% 39.66/26.19 (~v139(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15134, 10633, 15131])).
% 39.66/26.19 tff(15136,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v170(constB11)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB11) | v139(constB11) | (~v170(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15137,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v170(constB11)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15138,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB11) | v139(constB11) | (~v170(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15137, 15136])).
% 39.66/26.19 tff(15139,plain,
% 39.66/26.19 (~v170(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15138, 10647, 15135, 15127])).
% 39.66/26.19 tff(15140,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v141(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB11, bitIndex2)) | (~v141(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15141,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v141(constB11)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15142,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB11, bitIndex2)) | (~v141(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15141, 15140])).
% 39.66/26.19 tff(15143,plain,
% 39.66/26.19 (~v141(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15142, 10658, 15123])).
% 39.66/26.19 tff(15144,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB11) | v170(constB11) | (~v167(constB11)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB11) | v170(constB11) | (~v167(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15145,plain,
% 39.66/26.19 ((v141(constB11) | (~v167(constB11)) | v170(constB11)) <=> (v141(constB11) | v170(constB11) | (~v167(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15146,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB11) | (~v167(constB11)) | v170(constB11))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB11) | v170(constB11) | (~v167(constB11))))),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15145])).
% 39.66/26.19 tff(15147,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB11) | (~v167(constB11)) | v170(constB11))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB11) | v170(constB11) | (~v167(constB11)))),
% 39.66/26.19 inference(transitivity,[status(thm)],[15146, 15144])).
% 39.66/26.19 tff(15148,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB11) | (~v167(constB11)) | v170(constB11))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15149,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB11) | v170(constB11) | (~v167(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15148, 15147])).
% 39.66/26.19 tff(15150,plain,
% 39.66/26.19 (~v167(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15149, 10672, 15143, 15139])).
% 39.66/26.19 tff(15151,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v143(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v143(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15152,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v143(constB11)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15153,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v143(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15152, 15151])).
% 39.66/26.19 tff(15154,plain,
% 39.66/26.19 (~v143(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15153, 10686, 15131])).
% 39.66/26.19 tff(15155,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v144(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v144(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15156,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v144(constB11)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15157,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v144(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15156, 15155])).
% 39.66/26.19 tff(15158,plain,
% 39.66/26.19 (~v144(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15157, 10697, 15131])).
% 39.66/26.19 tff(15159,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB11) | v144(constB11) | (~v142(constB11)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB11) | v144(constB11) | (~v142(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15160,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB11) | v144(constB11) | (~v142(constB11)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15161,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB11) | v144(constB11) | (~v142(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15160, 15159])).
% 39.66/26.19 tff(15162,plain,
% 39.66/26.19 (~v142(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15161, 10711, 15158, 15154])).
% 39.66/26.19 tff(15163,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB11) | (~v166(constB11)) | v142(constB11))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB11) | (~v166(constB11)) | v142(constB11))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15164,plain,
% 39.66/26.19 ((v142(constB11) | (~v166(constB11)) | v167(constB11)) <=> (v167(constB11) | (~v166(constB11)) | v142(constB11))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15165,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB11) | (~v166(constB11)) | v167(constB11))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB11) | (~v166(constB11)) | v142(constB11)))),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15164])).
% 39.66/26.19 tff(15166,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB11) | (~v166(constB11)) | v167(constB11))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB11) | (~v166(constB11)) | v142(constB11))),
% 39.66/26.19 inference(transitivity,[status(thm)],[15165, 15163])).
% 39.66/26.19 tff(15167,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB11) | (~v166(constB11)) | v167(constB11))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15168,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB11) | (~v166(constB11)) | v142(constB11)),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15167, 15166])).
% 39.66/26.19 tff(15169,plain,
% 39.66/26.19 (~v166(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15168, 10725, 15162, 15150])).
% 39.66/26.19 tff(15170,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB11) | v166(constB11))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB11) | v166(constB11))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15171,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB11) | v166(constB11))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15172,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB11) | v166(constB11)),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15171, 15170])).
% 39.66/26.19 tff(15173,plain,
% 39.66/26.19 (v148(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15172, 10739, 15169])).
% 39.66/26.19 tff(15174,plain,
% 39.66/26.19 (((~![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)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15175,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB11, bitIndex1) | (~v88(constB11, bitIndex1)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15176,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB11, bitIndex1) | (~v88(constB11, bitIndex1))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15175, 15174])).
% 39.66/26.19 tff(15177,plain,
% 39.66/26.19 (~v88(constB11, bitIndex1)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15176, 10784, 2248])).
% 39.66/26.19 tff(15178,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15179,plain,
% 39.66/26.19 (((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11)) <=> ((~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15180,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1)))),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15179])).
% 39.66/26.19 tff(15181,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1))),
% 39.66/26.19 inference(transitivity,[status(thm)],[15180, 15178])).
% 39.66/26.19 tff(15182,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15183,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1)),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 39.66/26.19 tff(15184,plain,
% 39.66/26.19 (v147(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15183, 10798, 15131, 15123, 15177])).
% 39.66/26.19 tff(15185,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB11) | (~v147(constB11)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB11) | (~v147(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15186,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB11) | (~v147(constB11)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15187,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB11) | (~v147(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15186, 15185])).
% 39.66/26.19 tff(15188,plain,
% 39.66/26.19 (v145(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15187, 10812, 15184])).
% 39.66/26.19 tff(15189,plain,
% 39.66/26.19 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB11) | (~v145(constB11)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB11) | (~v145(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15190,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB11) | (~v145(constB11)))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15191,plain,
% 39.66/26.19 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB11) | (~v145(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15190, 15189])).
% 39.66/26.19 tff(15192,plain,
% 39.66/26.19 (v165(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15191, 10823, 15188])).
% 39.66/26.19 tff(15193,plain,
% 39.66/26.19 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB11) | (~v165(constB11)) | (~v148(constB11)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB11) | (~v165(constB11)) | (~v148(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15194,plain,
% 39.66/26.19 (((~v148(constB11)) | (~v165(constB11)) | v86(constB11)) <=> (v86(constB11) | (~v165(constB11)) | (~v148(constB11)))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15195,plain,
% 39.66/26.19 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB11)) | (~v165(constB11)) | v86(constB11))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB11) | (~v165(constB11)) | (~v148(constB11))))),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15194])).
% 39.66/26.19 tff(15196,plain,
% 39.66/26.19 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB11)) | (~v165(constB11)) | v86(constB11))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB11) | (~v165(constB11)) | (~v148(constB11)))),
% 39.66/26.19 inference(transitivity,[status(thm)],[15195, 15193])).
% 39.66/26.19 tff(15197,plain,
% 39.66/26.19 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB11)) | (~v165(constB11)) | v86(constB11))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15198,plain,
% 39.66/26.19 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB11) | (~v165(constB11)) | (~v148(constB11))),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15197, 15196])).
% 39.66/26.19 tff(15199,plain,
% 39.66/26.19 (v86(constB11) | (~v148(constB11))),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15198, 10837, 15192])).
% 39.66/26.19 tff(15200,plain,
% 39.66/26.19 (v86(constB11)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15199, 15173])).
% 39.66/26.19 tff(15201,plain,
% 39.66/26.19 ($false),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15200, 15119])).
% 39.66/26.19 tff(15202,plain,((~(constB11 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.66/26.19 tff(15203,plain,
% 39.66/26.19 (~(constB11 = sK0_VarCurr)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15202, 72])).
% 39.66/26.19 tff(15204,assumption,(constB71 = sK0_VarCurr), introduced(assumption)).
% 39.66/26.19 tff(15205,plain,
% 39.66/26.19 (v86(constB71) <=> v86(sK0_VarCurr)),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15204])).
% 39.66/26.19 tff(15206,plain,
% 39.66/26.19 (v86(sK0_VarCurr) <=> v86(constB71)),
% 39.66/26.19 inference(symmetry,[status(thm)],[15205])).
% 39.66/26.19 tff(15207,plain,
% 39.66/26.19 ((~v86(sK0_VarCurr)) <=> (~v86(constB71))),
% 39.66/26.19 inference(monotonicity,[status(thm)],[15206])).
% 39.66/26.19 tff(15208,plain,
% 39.66/26.19 (~v86(constB71)),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[77, 15207])).
% 39.66/26.19 tff(15209,plain,
% 39.66/26.19 (((~![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))),
% 39.66/26.19 inference(rewrite,[status(thm)],[])).
% 39.66/26.19 tff(15210,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB71, bitIndex2)) | v88(constB71, bitIndex2))),
% 39.66/26.19 inference(quant_inst,[status(thm)],[])).
% 39.66/26.19 tff(15211,plain,
% 39.66/26.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB71, bitIndex2)) | v88(constB71, bitIndex2)),
% 39.66/26.19 inference(modus_ponens,[status(thm)],[15210, 15209])).
% 39.66/26.19 tff(15212,plain,
% 39.66/26.19 (v88(constB71, bitIndex2)),
% 39.66/26.19 inference(unit_resolution,[status(thm)],[15211, 10566, 9386])).
% 39.66/26.19 tff(15213,plain,
% 39.66/26.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB71, bitIndex2)) | (~v140(constB71)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB71, bitIndex2)) | (~v140(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15214,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB71, bitIndex2)) | (~v140(constB71)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15215,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB71, bitIndex2)) | (~v140(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15214, 15213])).
% 39.76/26.20 tff(15216,plain,
% 39.76/26.20 (~v140(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15215, 10577, 15212])).
% 39.76/26.20 tff(15217,plain,
% 39.76/26.20 (((~![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))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15218,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB71, bitIndex0)) | v88(constB71, bitIndex0))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15219,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB71, bitIndex0)) | v88(constB71, bitIndex0)),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15218, 15217])).
% 39.76/26.20 tff(15220,plain,
% 39.76/26.20 (v88(constB71, bitIndex0)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15219, 10622, 9451])).
% 39.76/26.20 tff(15221,plain,
% 39.76/26.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB71, bitIndex0)) | (~v139(constB71)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB71, bitIndex0)) | (~v139(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15222,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB71, bitIndex0)) | (~v139(constB71)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15223,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB71, bitIndex0)) | (~v139(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15222, 15221])).
% 39.76/26.20 tff(15224,plain,
% 39.76/26.20 (~v139(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15223, 10633, 15220])).
% 39.76/26.20 tff(15225,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB71) | v139(constB71) | (~v170(constB71)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB71) | v139(constB71) | (~v170(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15226,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB71) | v139(constB71) | (~v170(constB71)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15227,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB71) | v139(constB71) | (~v170(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15226, 15225])).
% 39.76/26.20 tff(15228,plain,
% 39.76/26.20 (~v170(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15227, 10647, 15224, 15216])).
% 39.76/26.20 tff(15229,plain,
% 39.76/26.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB71, bitIndex2)) | (~v141(constB71)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB71, bitIndex2)) | (~v141(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15230,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB71, bitIndex2)) | (~v141(constB71)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15231,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB71, bitIndex2)) | (~v141(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15230, 15229])).
% 39.76/26.20 tff(15232,plain,
% 39.76/26.20 (~v141(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15231, 10658, 15212])).
% 39.76/26.20 tff(15233,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB71) | v170(constB71) | (~v167(constB71)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB71) | v170(constB71) | (~v167(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15234,plain,
% 39.76/26.20 ((v141(constB71) | (~v167(constB71)) | v170(constB71)) <=> (v141(constB71) | v170(constB71) | (~v167(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15235,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB71) | (~v167(constB71)) | v170(constB71))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB71) | v170(constB71) | (~v167(constB71))))),
% 39.76/26.20 inference(monotonicity,[status(thm)],[15234])).
% 39.76/26.20 tff(15236,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB71) | (~v167(constB71)) | v170(constB71))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB71) | v170(constB71) | (~v167(constB71)))),
% 39.76/26.20 inference(transitivity,[status(thm)],[15235, 15233])).
% 39.76/26.20 tff(15237,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB71) | (~v167(constB71)) | v170(constB71))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15238,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB71) | v170(constB71) | (~v167(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15237, 15236])).
% 39.76/26.20 tff(15239,plain,
% 39.76/26.20 (~v167(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15238, 10672, 15232, 15228])).
% 39.76/26.20 tff(15240,plain,
% 39.76/26.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB71, bitIndex0)) | (~v143(constB71)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB71, bitIndex0)) | (~v143(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15241,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB71, bitIndex0)) | (~v143(constB71)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15242,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB71, bitIndex0)) | (~v143(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15241, 15240])).
% 39.76/26.20 tff(15243,plain,
% 39.76/26.20 (~v143(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15242, 10686, 15220])).
% 39.76/26.20 tff(15244,plain,
% 39.76/26.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB71, bitIndex0)) | (~v144(constB71)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB71, bitIndex0)) | (~v144(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15245,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB71, bitIndex0)) | (~v144(constB71)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15246,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB71, bitIndex0)) | (~v144(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15245, 15244])).
% 39.76/26.20 tff(15247,plain,
% 39.76/26.20 (~v144(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15246, 10697, 15220])).
% 39.76/26.20 tff(15248,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB71) | v144(constB71) | (~v142(constB71)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB71) | v144(constB71) | (~v142(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15249,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB71) | v144(constB71) | (~v142(constB71)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15250,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB71) | v144(constB71) | (~v142(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15249, 15248])).
% 39.76/26.20 tff(15251,plain,
% 39.76/26.20 (~v142(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15250, 10711, 15247, 15243])).
% 39.76/26.20 tff(15252,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB71) | v167(constB71) | (~v166(constB71)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB71) | v167(constB71) | (~v166(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15253,plain,
% 39.76/26.20 ((v142(constB71) | (~v166(constB71)) | v167(constB71)) <=> (v142(constB71) | v167(constB71) | (~v166(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15254,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB71) | (~v166(constB71)) | v167(constB71))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB71) | v167(constB71) | (~v166(constB71))))),
% 39.76/26.20 inference(monotonicity,[status(thm)],[15253])).
% 39.76/26.20 tff(15255,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB71) | (~v166(constB71)) | v167(constB71))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB71) | v167(constB71) | (~v166(constB71)))),
% 39.76/26.20 inference(transitivity,[status(thm)],[15254, 15252])).
% 39.76/26.20 tff(15256,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB71) | (~v166(constB71)) | v167(constB71))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15257,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB71) | v167(constB71) | (~v166(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15256, 15255])).
% 39.76/26.20 tff(15258,plain,
% 39.76/26.20 (~v166(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15257, 10725, 15251, 15239])).
% 39.76/26.20 tff(15259,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB71) | v166(constB71))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB71) | v166(constB71))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15260,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB71) | v166(constB71))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15261,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB71) | v166(constB71)),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15260, 15259])).
% 39.76/26.20 tff(15262,plain,
% 39.76/26.20 (v148(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15261, 10739, 15258])).
% 39.76/26.20 tff(15263,plain,
% 39.76/26.20 (((~![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)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15264,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB71, bitIndex1) | (~v88(constB71, bitIndex1)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15265,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB71, bitIndex1) | (~v88(constB71, bitIndex1))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15264, 15263])).
% 39.76/26.20 tff(15266,plain,
% 39.76/26.20 (~v88(constB71, bitIndex1)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15265, 10784, 9420])).
% 39.76/26.20 tff(15267,plain,
% 39.76/26.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB71, bitIndex1) | (~v88(constB71, bitIndex2)) | (~v88(constB71, bitIndex0)) | v147(constB71))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB71, bitIndex1) | (~v88(constB71, bitIndex2)) | (~v88(constB71, bitIndex0)) | v147(constB71))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15268,plain,
% 39.76/26.20 (((~v88(constB71, bitIndex2)) | v88(constB71, bitIndex1) | (~v88(constB71, bitIndex0)) | v147(constB71)) <=> (v88(constB71, bitIndex1) | (~v88(constB71, bitIndex2)) | (~v88(constB71, bitIndex0)) | v147(constB71))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15269,plain,
% 39.76/26.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB71, bitIndex2)) | v88(constB71, bitIndex1) | (~v88(constB71, bitIndex0)) | v147(constB71))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB71, bitIndex1) | (~v88(constB71, bitIndex2)) | (~v88(constB71, bitIndex0)) | v147(constB71)))),
% 39.76/26.20 inference(monotonicity,[status(thm)],[15268])).
% 39.76/26.20 tff(15270,plain,
% 39.76/26.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB71, bitIndex2)) | v88(constB71, bitIndex1) | (~v88(constB71, bitIndex0)) | v147(constB71))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB71, bitIndex1) | (~v88(constB71, bitIndex2)) | (~v88(constB71, bitIndex0)) | v147(constB71))),
% 39.76/26.20 inference(transitivity,[status(thm)],[15269, 15267])).
% 39.76/26.20 tff(15271,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB71, bitIndex2)) | v88(constB71, bitIndex1) | (~v88(constB71, bitIndex0)) | v147(constB71))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15272,plain,
% 39.76/26.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB71, bitIndex1) | (~v88(constB71, bitIndex2)) | (~v88(constB71, bitIndex0)) | v147(constB71)),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15271, 15270])).
% 39.76/26.20 tff(15273,plain,
% 39.76/26.20 (v147(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15272, 10798, 15220, 15212, 15266])).
% 39.76/26.20 tff(15274,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB71) | (~v147(constB71)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB71) | (~v147(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15275,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB71) | (~v147(constB71)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15276,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB71) | (~v147(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15275, 15274])).
% 39.76/26.20 tff(15277,plain,
% 39.76/26.20 (v145(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15276, 10812, 15273])).
% 39.76/26.20 tff(15278,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB71) | (~v145(constB71)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB71) | (~v145(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15279,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB71) | (~v145(constB71)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15280,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB71) | (~v145(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15279, 15278])).
% 39.76/26.20 tff(15281,plain,
% 39.76/26.20 (v165(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15280, 10823, 15277])).
% 39.76/26.20 tff(15282,plain,
% 39.76/26.20 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB71) | (~v165(constB71)) | (~v148(constB71)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB71) | (~v165(constB71)) | (~v148(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15283,plain,
% 39.76/26.20 (((~v148(constB71)) | (~v165(constB71)) | v86(constB71)) <=> (v86(constB71) | (~v165(constB71)) | (~v148(constB71)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15284,plain,
% 39.76/26.20 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB71)) | (~v165(constB71)) | v86(constB71))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB71) | (~v165(constB71)) | (~v148(constB71))))),
% 39.76/26.20 inference(monotonicity,[status(thm)],[15283])).
% 39.76/26.20 tff(15285,plain,
% 39.76/26.20 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB71)) | (~v165(constB71)) | v86(constB71))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB71) | (~v165(constB71)) | (~v148(constB71)))),
% 39.76/26.20 inference(transitivity,[status(thm)],[15284, 15282])).
% 39.76/26.20 tff(15286,plain,
% 39.76/26.20 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB71)) | (~v165(constB71)) | v86(constB71))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15287,plain,
% 39.76/26.20 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB71) | (~v165(constB71)) | (~v148(constB71))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15286, 15285])).
% 39.76/26.20 tff(15288,plain,
% 39.76/26.20 (v86(constB71) | (~v148(constB71))),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15287, 10837, 15281])).
% 39.76/26.20 tff(15289,plain,
% 39.76/26.20 (v86(constB71)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15288, 15262])).
% 39.76/26.20 tff(15290,plain,
% 39.76/26.20 ($false),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15289, 15208])).
% 39.76/26.20 tff(15291,plain,((~(constB71 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.20 tff(15292,plain,
% 39.76/26.20 (~(constB71 = sK0_VarCurr)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15291, 72])).
% 39.76/26.20 tff(15293,assumption,(constB165 = sK0_VarCurr), introduced(assumption)).
% 39.76/26.20 tff(15294,plain,
% 39.76/26.20 (v86(constB165) <=> v86(sK0_VarCurr)),
% 39.76/26.20 inference(monotonicity,[status(thm)],[15293])).
% 39.76/26.20 tff(15295,plain,
% 39.76/26.20 (v86(sK0_VarCurr) <=> v86(constB165)),
% 39.76/26.20 inference(symmetry,[status(thm)],[15294])).
% 39.76/26.20 tff(15296,plain,
% 39.76/26.20 ((~v86(sK0_VarCurr)) <=> (~v86(constB165))),
% 39.76/26.20 inference(monotonicity,[status(thm)],[15295])).
% 39.76/26.20 tff(15297,plain,
% 39.76/26.20 (~v86(constB165)),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[77, 15296])).
% 39.76/26.20 tff(15298,assumption,(v26(constB121)), introduced(assumption)).
% 39.76/26.20 tff(15299,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15300,plain,
% 39.76/26.20 ($false),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15299, 86, 15298])).
% 39.76/26.20 tff(15301,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.20 tff(15302,plain,
% 39.76/26.20 (((~![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))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15303,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15304,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117)),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15303, 15302])).
% 39.76/26.20 tff(15305,plain,
% 39.76/26.20 (v123(constB117)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15304, 1280, 14638, 14600, 14532])).
% 39.76/26.20 tff(15306,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB117) | (~v123(constB117)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB117) | (~v123(constB117)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15307,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB117) | (~v123(constB117)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15308,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB117) | (~v123(constB117))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15307, 15306])).
% 39.76/26.20 tff(15309,plain,
% 39.76/26.20 (v115(constB117)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15308, 1247, 15305])).
% 39.76/26.20 tff(15310,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15311,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15312,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 39.76/26.20 tff(15313,plain,
% 39.76/26.20 (v114(constB117)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15312, 283, 15309])).
% 39.76/26.20 tff(15314,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15315,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15316,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15315, 15314])).
% 39.76/26.20 tff(15317,plain,
% 39.76/26.20 (v113(constB117)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15316, 294, 15313])).
% 39.76/26.20 tff(15318,assumption,(v26(constB116)), introduced(assumption)).
% 39.76/26.20 tff(15319,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB116))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15320,plain,
% 39.76/26.20 ($false),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15319, 86, 15318])).
% 39.76/26.20 tff(15321,plain,(~v26(constB116)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.20 tff(15322,plain,
% 39.76/26.20 (^[VarNext: $i, VarCurr: $i] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15323,plain,
% 39.76/26.20 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15322])).
% 39.76/26.20 tff(15324,plain,
% 39.76/26.20 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15325,plain,
% 39.76/26.20 (^[VarNext: $i, VarCurr: $i] : rewrite(((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15326,plain,
% 39.76/26.20 (![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15325])).
% 39.76/26.20 tff(15327,axiom,(![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 39.76/26.20 tff(15328,plain,
% 39.76/26.20 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15327, 15326])).
% 39.76/26.20 tff(15329,plain,
% 39.76/26.20 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15328, 15324])).
% 39.76/26.20 tff(15330,plain,(
% 39.76/26.20 ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 39.76/26.20 inference(skolemize,[status(sab)],[15329])).
% 39.76/26.20 tff(15331,plain,
% 39.76/26.20 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15330, 15323])).
% 39.76/26.20 tff(15332,plain,
% 39.76/26.20 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15333,plain,
% 39.76/26.20 ((v26(constB116) | (~nextState(constB116, constB117)) | (~v66(constB117))) <=> ((~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15334,plain,
% 39.76/26.20 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB116) | (~nextState(constB116, constB117)) | (~v66(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117))))),
% 39.76/26.20 inference(monotonicity,[status(thm)],[15333])).
% 39.76/26.20 tff(15335,plain,
% 39.76/26.20 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB116) | (~nextState(constB116, constB117)) | (~v66(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117)))),
% 39.76/26.20 inference(transitivity,[status(thm)],[15334, 15332])).
% 39.76/26.20 tff(15336,plain,
% 39.76/26.20 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB116) | (~nextState(constB116, constB117)) | (~v66(constB117)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15337,plain,
% 39.76/26.20 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15336, 15335])).
% 39.76/26.20 tff(15338,plain,
% 39.76/26.20 (v26(constB116) | (~v66(constB117))),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15337, 15331, 14511])).
% 39.76/26.20 tff(15339,plain,
% 39.76/26.20 (~v66(constB117)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15338, 15321])).
% 39.76/26.20 tff(15340,plain,
% 39.76/26.20 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15341,plain,
% 39.76/26.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15340])).
% 39.76/26.20 tff(15342,plain,
% 39.76/26.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15343,plain,
% 39.76/26.20 (^[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))))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15344,plain,
% 39.76/26.20 (![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15343])).
% 39.76/26.20 tff(15345,axiom,(![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 39.76/26.20 tff(15346,plain,
% 39.76/26.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15345, 15344])).
% 39.76/26.20 tff(15347,plain,
% 39.76/26.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15346, 15342])).
% 39.76/26.20 tff(15348,plain,(
% 39.76/26.20 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 39.76/26.20 inference(skolemize,[status(sab)],[15347])).
% 39.76/26.20 tff(15349,plain,
% 39.76/26.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15348, 15341])).
% 39.76/26.20 tff(15350,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB117) | v64(constB117) | (~v9(constB117)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB117) | v64(constB117) | (~v9(constB117)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15351,plain,
% 39.76/26.20 ((v1(constB117) | (~v9(constB117)) | v64(constB117)) <=> (v1(constB117) | v64(constB117) | (~v9(constB117)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15352,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v64(constB117))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB117) | v64(constB117) | (~v9(constB117))))),
% 39.76/26.20 inference(monotonicity,[status(thm)],[15351])).
% 39.76/26.20 tff(15353,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v64(constB117))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB117) | v64(constB117) | (~v9(constB117)))),
% 39.76/26.20 inference(transitivity,[status(thm)],[15352, 15350])).
% 39.76/26.20 tff(15354,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v64(constB117))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15355,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB117) | v64(constB117) | (~v9(constB117))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 39.76/26.20 tff(15356,plain,
% 39.76/26.20 (v64(constB117) | (~v9(constB117))),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15355, 15349, 14508])).
% 39.76/26.20 tff(15357,plain,
% 39.76/26.20 (v64(constB117)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15356, 14724])).
% 39.76/26.20 tff(15358,plain,
% 39.76/26.20 (^[VarNext: $i] : refl(((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15359,plain,
% 39.76/26.20 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15358])).
% 39.76/26.20 tff(15360,plain,
% 39.76/26.20 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15361,plain,
% 39.76/26.20 (^[VarNext: $i] : rewrite(((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15362,plain,
% 39.76/26.20 (![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15361])).
% 39.76/26.20 tff(15363,axiom,(![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 39.76/26.20 tff(15364,plain,
% 39.76/26.20 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15363, 15362])).
% 39.76/26.20 tff(15365,plain,
% 39.76/26.20 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15364, 15360])).
% 39.76/26.20 tff(15366,plain,(
% 39.76/26.20 ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 39.76/26.20 inference(skolemize,[status(sab)],[15365])).
% 39.76/26.20 tff(15367,plain,
% 39.76/26.20 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15366, 15359])).
% 39.76/26.20 tff(15368,plain,
% 39.76/26.20 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB117)) | v66(constB117) | (~v64(constB117)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB117)) | v66(constB117) | (~v64(constB117)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15369,plain,
% 39.76/26.20 (((~v64(constB117)) | (~v60(constB117)) | v66(constB117)) <=> ((~v60(constB117)) | v66(constB117) | (~v64(constB117)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15370,plain,
% 39.76/26.20 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB117)) | (~v60(constB117)) | v66(constB117))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB117)) | v66(constB117) | (~v64(constB117))))),
% 39.76/26.20 inference(monotonicity,[status(thm)],[15369])).
% 39.76/26.20 tff(15371,plain,
% 39.76/26.20 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB117)) | (~v60(constB117)) | v66(constB117))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB117)) | v66(constB117) | (~v64(constB117)))),
% 39.76/26.20 inference(transitivity,[status(thm)],[15370, 15368])).
% 39.76/26.20 tff(15372,plain,
% 39.76/26.20 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB117)) | (~v60(constB117)) | v66(constB117))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15373,plain,
% 39.76/26.20 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB117)) | v66(constB117) | (~v64(constB117))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 39.76/26.20 tff(15374,plain,
% 39.76/26.20 ((~v60(constB117)) | v66(constB117)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15373, 15367, 15357])).
% 39.76/26.20 tff(15375,plain,
% 39.76/26.20 (~v60(constB117)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15374, 15339])).
% 39.76/26.20 tff(15376,assumption,(v71(constB117)), introduced(assumption)).
% 39.76/26.20 tff(15377,plain,
% 39.76/26.20 (^[VarCurr: $i] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15378,plain,
% 39.76/26.20 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15377])).
% 39.76/26.20 tff(15379,plain,
% 39.76/26.20 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15380,axiom,(![VarCurr: $i] : (~v71(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 39.76/26.20 tff(15381,plain,
% 39.76/26.20 (![VarCurr: $i] : (~v71(VarCurr))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 39.76/26.20 tff(15382,plain,(
% 39.76/26.20 ![VarCurr: $i] : (~v71(VarCurr))),
% 39.76/26.20 inference(skolemize,[status(sab)],[15381])).
% 39.76/26.20 tff(15383,plain,
% 39.76/26.20 (![VarCurr: $i] : (~v71(VarCurr))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15382, 15378])).
% 39.76/26.20 tff(15384,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB117))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15385,plain,
% 39.76/26.20 ($false),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15384, 15383, 15376])).
% 39.76/26.20 tff(15386,plain,(~v71(constB117)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.20 tff(15387,plain,
% 39.76/26.20 (^[VarCurr: $i] : refl((v80(VarCurr) | (~v9(VarCurr))) <=> (v80(VarCurr) | (~v9(VarCurr))))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15388,plain,
% 39.76/26.20 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15387])).
% 39.76/26.20 tff(15389,plain,
% 39.76/26.20 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15390,axiom,(![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 39.76/26.20 tff(15391,plain,
% 39.76/26.20 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15390, 15389])).
% 39.76/26.20 tff(15392,plain,(
% 39.76/26.20 ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 39.76/26.20 inference(skolemize,[status(sab)],[15391])).
% 39.76/26.20 tff(15393,plain,
% 39.76/26.20 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15392, 15388])).
% 39.76/26.20 tff(15394,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB117) | (~v9(constB117)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB117) | (~v9(constB117)))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15395,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB117) | (~v9(constB117)))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15396,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB117) | (~v9(constB117))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15395, 15394])).
% 39.76/26.20 tff(15397,plain,
% 39.76/26.20 (v80(constB117)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15396, 15393, 14724])).
% 39.76/26.20 tff(15398,plain,
% 39.76/26.20 (^[VarCurr: $i] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15399,plain,
% 39.76/26.20 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15398])).
% 39.76/26.20 tff(15400,plain,
% 39.76/26.20 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15401,plain,
% 39.76/26.20 (^[VarCurr: $i] : rewrite((v78(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15402,plain,
% 39.76/26.20 (![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15401])).
% 39.76/26.20 tff(15403,axiom,(![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 39.76/26.20 tff(15404,plain,
% 39.76/26.20 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 39.76/26.20 tff(15405,plain,
% 39.76/26.20 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15404, 15400])).
% 39.76/26.20 tff(15406,plain,(
% 39.76/26.20 ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 39.76/26.20 inference(skolemize,[status(sab)],[15405])).
% 39.76/26.20 tff(15407,plain,
% 39.76/26.20 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15406, 15399])).
% 39.76/26.20 tff(15408,plain,
% 39.76/26.20 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB117) | v78(constB117))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB117) | v78(constB117))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15409,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB117) | v78(constB117))),
% 39.76/26.20 inference(quant_inst,[status(thm)],[])).
% 39.76/26.20 tff(15410,plain,
% 39.76/26.20 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB117) | v78(constB117)),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15409, 15408])).
% 39.76/26.20 tff(15411,plain,
% 39.76/26.20 (v78(constB117)),
% 39.76/26.20 inference(unit_resolution,[status(thm)],[15410, 15407, 14508])).
% 39.76/26.20 tff(15412,plain,
% 39.76/26.20 (^[VarCurr: $i] : refl(((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15413,plain,
% 39.76/26.20 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15412])).
% 39.76/26.20 tff(15414,plain,
% 39.76/26.20 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 39.76/26.20 inference(rewrite,[status(thm)],[])).
% 39.76/26.20 tff(15415,plain,
% 39.76/26.20 (^[VarCurr: $i] : rewrite(((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 39.76/26.20 inference(bind,[status(th)],[])).
% 39.76/26.20 tff(15416,plain,
% 39.76/26.20 (![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 39.76/26.20 inference(quant_intro,[status(thm)],[15415])).
% 39.76/26.20 tff(15417,axiom,(![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 39.76/26.20 tff(15418,plain,
% 39.76/26.20 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15417, 15416])).
% 39.76/26.20 tff(15419,plain,
% 39.76/26.20 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 39.76/26.20 inference(modus_ponens,[status(thm)],[15418, 15414])).
% 39.76/26.20 tff(15420,plain,(
% 39.76/26.20 ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 39.76/26.20 inference(skolemize,[status(sab)],[15419])).
% 39.76/26.20 tff(15421,plain,
% 39.76/26.20 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15420, 15413])).
% 39.76/26.21 tff(15422,plain,
% 39.76/26.21 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB117)) | (~v80(constB117)) | v76(constB117))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB117)) | (~v80(constB117)) | v76(constB117))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15423,plain,
% 39.76/26.21 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB117)) | (~v80(constB117)) | v76(constB117))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15424,plain,
% 39.76/26.21 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB117)) | (~v80(constB117)) | v76(constB117)),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15423, 15422])).
% 39.76/26.21 tff(15425,plain,
% 39.76/26.21 ((~v80(constB117)) | v76(constB117)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15424, 15421, 15411])).
% 39.76/26.21 tff(15426,plain,
% 39.76/26.21 (v76(constB117)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15425, 15397])).
% 39.76/26.21 tff(15427,plain,
% 39.76/26.21 (^[VarCurr: $i] : refl(((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 39.76/26.21 inference(bind,[status(th)],[])).
% 39.76/26.21 tff(15428,plain,
% 39.76/26.21 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 39.76/26.21 inference(quant_intro,[status(thm)],[15427])).
% 39.76/26.21 tff(15429,plain,
% 39.76/26.21 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15430,plain,
% 39.76/26.21 (^[VarCurr: $i] : rewrite(((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 39.76/26.21 inference(bind,[status(th)],[])).
% 39.76/26.21 tff(15431,plain,
% 39.76/26.21 (![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 39.76/26.21 inference(quant_intro,[status(thm)],[15430])).
% 39.76/26.21 tff(15432,axiom,(![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 39.76/26.21 tff(15433,plain,
% 39.76/26.21 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15432, 15431])).
% 39.76/26.21 tff(15434,plain,
% 39.76/26.21 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15433, 15429])).
% 39.76/26.21 tff(15435,plain,(
% 39.76/26.21 ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 39.76/26.21 inference(skolemize,[status(sab)],[15434])).
% 39.76/26.21 tff(15436,plain,
% 39.76/26.21 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15435, 15428])).
% 39.76/26.21 tff(15437,plain,
% 39.76/26.21 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (v71(constB117) | (~v72(constB117)) | (~v76(constB117)))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | v71(constB117) | (~v72(constB117)) | (~v76(constB117)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15438,plain,
% 39.76/26.21 (((~v72(constB117)) | (~v76(constB117)) | v71(constB117)) <=> (v71(constB117) | (~v72(constB117)) | (~v76(constB117)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15439,plain,
% 39.76/26.21 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB117)) | (~v76(constB117)) | v71(constB117))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (v71(constB117) | (~v72(constB117)) | (~v76(constB117))))),
% 39.76/26.21 inference(monotonicity,[status(thm)],[15438])).
% 39.76/26.21 tff(15440,plain,
% 39.76/26.21 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB117)) | (~v76(constB117)) | v71(constB117))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | v71(constB117) | (~v72(constB117)) | (~v76(constB117)))),
% 39.76/26.21 inference(transitivity,[status(thm)],[15439, 15437])).
% 39.76/26.21 tff(15441,plain,
% 39.76/26.21 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB117)) | (~v76(constB117)) | v71(constB117))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15442,plain,
% 39.76/26.21 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | v71(constB117) | (~v72(constB117)) | (~v76(constB117))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15441, 15440])).
% 39.76/26.21 tff(15443,plain,
% 39.76/26.21 (v71(constB117) | (~v72(constB117))),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15442, 15436, 15426])).
% 39.76/26.21 tff(15444,plain,
% 39.76/26.21 (~v72(constB117)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15443, 15386])).
% 39.76/26.21 tff(15445,plain,
% 39.76/26.21 (^[VarCurr: $i] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 39.76/26.21 inference(bind,[status(th)],[])).
% 39.76/26.21 tff(15446,plain,
% 39.76/26.21 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 39.76/26.21 inference(quant_intro,[status(thm)],[15445])).
% 39.76/26.21 tff(15447,plain,
% 39.76/26.21 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15448,plain,
% 39.76/26.21 (^[VarCurr: $i] : rewrite(((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 39.76/26.21 inference(bind,[status(th)],[])).
% 39.76/26.21 tff(15449,plain,
% 39.76/26.21 (![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 39.76/26.21 inference(quant_intro,[status(thm)],[15448])).
% 39.76/26.21 tff(15450,axiom,(![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 39.76/26.21 tff(15451,plain,
% 39.76/26.21 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15450, 15449])).
% 39.76/26.21 tff(15452,plain,
% 39.76/26.21 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15451, 15447])).
% 39.76/26.21 tff(15453,plain,(
% 39.76/26.21 ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 39.76/26.21 inference(skolemize,[status(sab)],[15452])).
% 39.76/26.21 tff(15454,plain,
% 39.76/26.21 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15453, 15446])).
% 39.76/26.21 tff(15455,plain,
% 39.76/26.21 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB117) | v72(constB117) | v74(constB117))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB117) | v72(constB117) | v74(constB117))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15456,plain,
% 39.76/26.21 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB117) | v72(constB117) | v74(constB117))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15457,plain,
% 39.76/26.21 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB117) | v72(constB117) | v74(constB117)),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15456, 15455])).
% 39.76/26.21 tff(15458,plain,
% 39.76/26.21 (v72(constB117) | v74(constB117)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15457, 15454, 14508])).
% 39.76/26.21 tff(15459,plain,
% 39.76/26.21 (v74(constB117)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15458, 15444])).
% 39.76/26.21 tff(15460,plain,
% 39.76/26.21 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 39.76/26.21 inference(bind,[status(th)],[])).
% 39.76/26.21 tff(15461,plain,
% 39.76/26.21 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 39.76/26.21 inference(quant_intro,[status(thm)],[15460])).
% 39.76/26.21 tff(15462,plain,
% 39.76/26.21 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15463,plain,
% 39.76/26.21 (^[VarCurr: $i] : rewrite(((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 39.76/26.21 inference(bind,[status(th)],[])).
% 39.76/26.21 tff(15464,plain,
% 39.76/26.21 (![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 39.76/26.21 inference(quant_intro,[status(thm)],[15463])).
% 39.76/26.21 tff(15465,axiom,(![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_2')).
% 39.76/26.21 tff(15466,plain,
% 39.76/26.21 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15465, 15464])).
% 39.76/26.21 tff(15467,plain,
% 39.76/26.21 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15466, 15462])).
% 39.76/26.21 tff(15468,plain,(
% 39.76/26.21 ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 39.76/26.21 inference(skolemize,[status(sab)],[15467])).
% 39.76/26.21 tff(15469,plain,
% 39.76/26.21 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15468, 15461])).
% 39.76/26.21 tff(15470,plain,
% 39.76/26.21 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB117) | (~v26(constB117)) | (~v74(constB117)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB117) | (~v26(constB117)) | (~v74(constB117)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15471,plain,
% 39.76/26.21 (((~v26(constB117)) | v60(constB117) | (~v74(constB117))) <=> (v60(constB117) | (~v26(constB117)) | (~v74(constB117)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15472,plain,
% 39.76/26.21 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB117)) | v60(constB117) | (~v74(constB117)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB117) | (~v26(constB117)) | (~v74(constB117))))),
% 39.76/26.21 inference(monotonicity,[status(thm)],[15471])).
% 39.76/26.21 tff(15473,plain,
% 39.76/26.21 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB117)) | v60(constB117) | (~v74(constB117)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB117) | (~v26(constB117)) | (~v74(constB117)))),
% 39.76/26.21 inference(transitivity,[status(thm)],[15472, 15470])).
% 39.76/26.21 tff(15474,plain,
% 39.76/26.21 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB117)) | v60(constB117) | (~v74(constB117)))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15475,plain,
% 39.76/26.21 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB117) | (~v26(constB117)) | (~v74(constB117))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15474, 15473])).
% 39.76/26.21 tff(15476,plain,
% 39.76/26.21 (v60(constB117) | (~v26(constB117))),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15475, 15469, 15459])).
% 39.76/26.21 tff(15477,plain,
% 39.76/26.21 (~v26(constB117)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15476, 15375])).
% 39.76/26.21 tff(15478,plain,
% 39.76/26.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15479,plain,
% 39.76/26.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15480,plain,
% 39.76/26.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117)),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15479, 15478])).
% 39.76/26.21 tff(15481,plain,
% 39.76/26.21 ((~v113(constB117)) | v112(constB117)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15480, 308, 15477])).
% 39.76/26.21 tff(15482,plain,
% 39.76/26.21 (v112(constB117)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15481, 15317])).
% 39.76/26.21 tff(15483,plain,
% 39.76/26.21 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15484,plain,
% 39.76/26.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15485,plain,
% 39.76/26.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15484, 15483])).
% 39.76/26.21 tff(15486,plain,
% 39.76/26.21 (v108(constB117)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15485, 320, 15482])).
% 39.76/26.21 tff(15487,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15488,plain,
% 39.76/26.21 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15489,plain,
% 39.76/26.21 (((~![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))))),
% 39.76/26.21 inference(monotonicity,[status(thm)],[15488])).
% 39.76/26.21 tff(15490,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(transitivity,[status(thm)],[15489, 15487])).
% 39.76/26.21 tff(15491,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15492,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 39.76/26.21 tff(15493,plain,
% 39.76/26.21 (v110(constB118) | (~v108(constB117))),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15492, 337, 14719])).
% 39.76/26.21 tff(15494,plain,
% 39.76/26.21 (v110(constB118)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15493, 15486])).
% 39.76/26.21 tff(15495,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15496,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15497,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15496, 15495])).
% 39.76/26.21 tff(15498,plain,
% 39.76/26.21 (~v104(constB118)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15497, 355, 14719, 14508])).
% 39.76/26.21 tff(15499,plain,
% 39.76/26.21 (((~![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))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15500,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15501,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15500, 15499])).
% 39.76/26.21 tff(15502,plain,
% 39.76/26.21 (v102(constB118) | v104(constB118)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15501, 369, 14719])).
% 39.76/26.21 tff(15503,plain,
% 39.76/26.21 (v102(constB118)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15502, 15498])).
% 39.76/26.21 tff(15504,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15505,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15506,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15505, 15504])).
% 39.76/26.21 tff(15507,plain,
% 39.76/26.21 (v101(constB118) | (~v102(constB118))),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15506, 387, 14719, 14703])).
% 39.76/26.21 tff(15508,plain,
% 39.76/26.21 (v101(constB118)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15507, 15503])).
% 39.76/26.21 tff(15509,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15510,plain,
% 39.76/26.21 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15511,plain,
% 39.76/26.21 (((~![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))))),
% 39.76/26.21 inference(monotonicity,[status(thm)],[15510])).
% 39.76/26.21 tff(15512,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(transitivity,[status(thm)],[15511, 15509])).
% 39.76/26.21 tff(15513,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15514,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15513, 15512])).
% 39.76/26.21 tff(15515,plain,
% 39.76/26.21 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15514, 402, 14719])).
% 39.76/26.21 tff(15516,plain,
% 39.76/26.21 (v100(constB118) | (~v110(constB118))),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15515, 15508])).
% 39.76/26.21 tff(15517,plain,
% 39.76/26.21 (v100(constB118)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15516, 15494])).
% 39.76/26.21 tff(15518,plain,
% 39.76/26.21 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15519,plain,
% 39.76/26.21 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15520,plain,
% 39.76/26.21 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2)),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15519, 15518])).
% 39.76/26.21 tff(15521,plain,
% 39.76/26.21 (v130(constB117, bitIndex2)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15520, 2165, 15305])).
% 39.76/26.21 tff(15522,plain,
% 39.76/26.21 (((~![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))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15523,plain,
% 39.76/26.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15524,plain,
% 39.76/26.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15523, 15522])).
% 39.76/26.21 tff(15525,plain,
% 39.76/26.21 ((~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15524, 1821, 15477])).
% 39.76/26.21 tff(15526,plain,
% 39.76/26.21 (v127(constB117, bitIndex2)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15525, 15521])).
% 39.76/26.21 tff(15527,plain,
% 39.76/26.21 (((~![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))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15528,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15529,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15528, 15527])).
% 39.76/26.21 tff(15530,plain,
% 39.76/26.21 ((~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15529, 1836, 14719])).
% 39.76/26.21 tff(15531,plain,
% 39.76/26.21 (v129(constB118, bitIndex2)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15530, 15526])).
% 39.76/26.21 tff(15532,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15533,plain,
% 39.76/26.21 ((v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2))) <=> (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15534,plain,
% 39.76/26.21 (((~![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))))),
% 39.76/26.21 inference(monotonicity,[status(thm)],[15533])).
% 39.76/26.21 tff(15535,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(transitivity,[status(thm)],[15534, 15532])).
% 39.76/26.21 tff(15536,plain,
% 39.76/26.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15537,plain,
% 39.76/26.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15536, 15535])).
% 39.76/26.21 tff(15538,plain,
% 39.76/26.21 (v90(constB118, bitIndex2) | (~v100(constB118))),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15537, 2100, 15531])).
% 39.76/26.21 tff(15539,plain,
% 39.76/26.21 (v90(constB118, bitIndex2)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15538, 15517])).
% 39.76/26.21 tff(15540,plain,
% 39.76/26.21 ((~v1(constB119)) <=> (~v1(constB119))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15541,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 39.76/26.21 tff(15542,plain,
% 39.76/26.21 (~v1(constB119)),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15541, 15540])).
% 39.76/26.21 tff(15543,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15544,plain,
% 39.76/26.21 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15545,plain,
% 39.76/26.21 (((~![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))))),
% 39.76/26.21 inference(monotonicity,[status(thm)],[15544])).
% 39.76/26.21 tff(15546,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(transitivity,[status(thm)],[15545, 15543])).
% 39.76/26.21 tff(15547,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15548,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15547, 15546])).
% 39.76/26.21 tff(15549,plain,
% 39.76/26.21 (~v101(constB119)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15548, 133, 14774, 15542])).
% 39.76/26.21 tff(15550,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15551,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15552,plain,
% 39.76/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15551, 15550])).
% 39.76/26.21 tff(15553,plain,
% 39.76/26.21 (v101(constB119) | (~v100(constB119))),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15552, 150, 14774])).
% 39.76/26.21 tff(15554,plain,
% 39.76/26.21 (~v100(constB119)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15553, 15549])).
% 39.76/26.21 tff(15555,plain,
% 39.76/26.21 (((~![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))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15556,plain,
% 39.76/26.21 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)) <=> ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15557,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.21 inference(monotonicity,[status(thm)],[15556])).
% 39.76/26.21 tff(15558,plain,
% 39.76/26.21 (((~![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))),
% 39.76/26.21 inference(transitivity,[status(thm)],[15557, 15555])).
% 39.76/26.21 tff(15559,plain,
% 39.76/26.21 ((~![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))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15560,plain,
% 39.76/26.21 ((~![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)),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15559, 15558])).
% 39.76/26.21 tff(15561,plain,
% 39.76/26.21 ((~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15560, 2118, 14774])).
% 39.76/26.21 tff(15562,plain,
% 39.76/26.21 ((~v90(constB118, bitIndex2)) | v90(constB119, bitIndex2)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15561, 15554])).
% 39.76/26.21 tff(15563,plain,
% 39.76/26.21 (v90(constB119, bitIndex2)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15562, 15539])).
% 39.76/26.21 tff(15564,plain,
% 39.76/26.21 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB117)) | (~v130(constB117, bitIndex1)))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15565,plain,
% 39.76/26.21 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex1)))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15566,plain,
% 39.76/26.21 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB117)) | (~v130(constB117, bitIndex1))),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15565, 15564])).
% 39.76/26.21 tff(15567,plain,
% 39.76/26.21 (~v130(constB117, bitIndex1)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15566, 1579, 15305])).
% 39.76/26.21 tff(15568,plain,
% 39.76/26.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15569,plain,
% 39.76/26.21 ((v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1))) <=> ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 39.76/26.21 inference(rewrite,[status(thm)],[])).
% 39.76/26.21 tff(15570,plain,
% 39.76/26.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)))),
% 39.76/26.21 inference(monotonicity,[status(thm)],[15569])).
% 39.76/26.21 tff(15571,plain,
% 39.76/26.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 39.76/26.21 inference(transitivity,[status(thm)],[15570, 15568])).
% 39.76/26.21 tff(15572,plain,
% 39.76/26.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))),
% 39.76/26.21 inference(quant_inst,[status(thm)],[])).
% 39.76/26.21 tff(15573,plain,
% 39.76/26.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)),
% 39.76/26.21 inference(modus_ponens,[status(thm)],[15572, 15571])).
% 39.76/26.21 tff(15574,plain,
% 39.76/26.21 ((~v127(constB117, bitIndex1)) | v130(constB117, bitIndex1)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15573, 527, 15477])).
% 39.76/26.21 tff(15575,plain,
% 39.76/26.21 (~v127(constB117, bitIndex1)),
% 39.76/26.21 inference(unit_resolution,[status(thm)],[15574, 15567])).
% 39.76/26.21 tff(15576,plain,
% 39.76/26.21 (((~![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)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15577,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15578,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15577, 15576])).
% 39.76/26.22 tff(15579,plain,
% 39.76/26.22 (v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15578, 545, 14719])).
% 39.76/26.22 tff(15580,plain,
% 39.76/26.22 (~v129(constB118, bitIndex1)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15579, 15575])).
% 39.76/26.22 tff(15581,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15582,plain,
% 39.76/26.22 (((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1)) <=> ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15583,plain,
% 39.76/26.22 (((~![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))))),
% 39.76/26.22 inference(monotonicity,[status(thm)],[15582])).
% 39.76/26.22 tff(15584,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(transitivity,[status(thm)],[15583, 15581])).
% 39.76/26.22 tff(15585,plain,
% 39.76/26.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15586,plain,
% 39.76/26.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15585, 15584])).
% 39.76/26.22 tff(15587,plain,
% 39.76/26.22 ((~v90(constB118, bitIndex1)) | (~v100(constB118))),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15586, 560, 15580])).
% 39.76/26.22 tff(15588,plain,
% 39.76/26.22 (~v90(constB118, bitIndex1)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15587, 15517])).
% 39.76/26.22 tff(15589,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15590,plain,
% 39.76/26.22 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))) <=> (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15591,plain,
% 39.76/26.22 (((~![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))))),
% 39.76/26.22 inference(monotonicity,[status(thm)],[15590])).
% 39.76/26.22 tff(15592,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(transitivity,[status(thm)],[15591, 15589])).
% 39.76/26.22 tff(15593,plain,
% 39.76/26.22 ((~![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)))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15594,plain,
% 39.76/26.22 ((~![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))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15593, 15592])).
% 39.76/26.22 tff(15595,plain,
% 39.76/26.22 (v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15594, 186, 14774])).
% 39.76/26.22 tff(15596,plain,
% 39.76/26.22 (v90(constB118, bitIndex1) | (~v90(constB119, bitIndex1))),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15595, 15554])).
% 39.76/26.22 tff(15597,plain,
% 39.76/26.22 (~v90(constB119, bitIndex1)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15596, 15588])).
% 39.76/26.22 tff(15598,plain,
% 39.76/26.22 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB117)) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB117)) | v130(constB117, bitIndex0))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15599,plain,
% 39.76/26.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB117)) | v130(constB117, bitIndex0))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15600,plain,
% 39.76/26.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB117)) | v130(constB117, bitIndex0)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15599, 15598])).
% 39.76/26.22 tff(15601,plain,
% 39.76/26.22 (v130(constB117, bitIndex0)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15600, 2258, 15305])).
% 39.76/26.22 tff(15602,plain,
% 39.76/26.22 (((~![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))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15603,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15604,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15603, 15602])).
% 39.76/26.22 tff(15605,plain,
% 39.76/26.22 ((~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15604, 601, 15477])).
% 39.76/26.22 tff(15606,plain,
% 39.76/26.22 (v127(constB117, bitIndex0)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15605, 15601])).
% 39.76/26.22 tff(15607,plain,
% 39.76/26.22 (((~![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))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15608,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15609,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15608, 15607])).
% 39.76/26.22 tff(15610,plain,
% 39.76/26.22 ((~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15609, 616, 14719])).
% 39.76/26.22 tff(15611,plain,
% 39.76/26.22 (v129(constB118, bitIndex0)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15610, 15606])).
% 39.76/26.22 tff(15612,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15613,plain,
% 39.76/26.22 ((v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0))) <=> (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15614,plain,
% 39.76/26.22 (((~![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))))),
% 39.76/26.22 inference(monotonicity,[status(thm)],[15613])).
% 39.76/26.22 tff(15615,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(transitivity,[status(thm)],[15614, 15612])).
% 39.76/26.22 tff(15616,plain,
% 39.76/26.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15617,plain,
% 39.76/26.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15616, 15615])).
% 39.76/26.22 tff(15618,plain,
% 39.76/26.22 (v90(constB118, bitIndex0) | (~v100(constB118))),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15617, 631, 15611])).
% 39.76/26.22 tff(15619,plain,
% 39.76/26.22 (v90(constB118, bitIndex0)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15618, 15517])).
% 39.76/26.22 tff(15620,plain,
% 39.76/26.22 (((~![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))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15621,plain,
% 39.76/26.22 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)) <=> ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15622,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(monotonicity,[status(thm)],[15621])).
% 39.76/26.22 tff(15623,plain,
% 39.76/26.22 (((~![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))),
% 39.76/26.22 inference(transitivity,[status(thm)],[15622, 15620])).
% 39.76/26.22 tff(15624,plain,
% 39.76/26.22 ((~![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))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15625,plain,
% 39.76/26.22 ((~![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)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15624, 15623])).
% 39.76/26.22 tff(15626,plain,
% 39.76/26.22 ((~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15625, 649, 14774])).
% 39.76/26.22 tff(15627,plain,
% 39.76/26.22 ((~v90(constB118, bitIndex0)) | v90(constB119, bitIndex0)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15626, 15554])).
% 39.76/26.22 tff(15628,plain,
% 39.76/26.22 (v90(constB119, bitIndex0)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15627, 15619])).
% 39.76/26.22 tff(15629,plain,
% 39.76/26.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15630,plain,
% 39.76/26.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15631,plain,
% 39.76/26.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15630, 15629])).
% 39.76/26.22 tff(15632,plain,
% 39.76/26.22 (v124(constB119)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15631, 1264, 15628, 15597, 15563])).
% 39.76/26.22 tff(15633,plain,
% 39.76/26.22 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB119) | (~v124(constB119)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB119) | (~v124(constB119)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15634,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB119) | (~v124(constB119)))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15635,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB119) | (~v124(constB119))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15634, 15633])).
% 39.76/26.22 tff(15636,plain,
% 39.76/26.22 (v114(constB119)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15635, 1236, 15632])).
% 39.76/26.22 tff(15637,plain,
% 39.76/26.22 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15638,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15639,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15638, 15637])).
% 39.76/26.22 tff(15640,plain,
% 39.76/26.22 (v113(constB119)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15639, 294, 15636])).
% 39.76/26.22 tff(15641,assumption,(v26(constB119)), introduced(assumption)).
% 39.76/26.22 tff(15642,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15643,plain,
% 39.76/26.22 ($false),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15642, 86, 15641])).
% 39.76/26.22 tff(15644,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.22 tff(15645,plain,
% 39.76/26.22 (((~![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))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15646,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15647,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15646, 15645])).
% 39.76/26.22 tff(15648,plain,
% 39.76/26.22 ((~v113(constB119)) | v112(constB119)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15647, 308, 15644])).
% 39.76/26.22 tff(15649,plain,
% 39.76/26.22 (v112(constB119)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15648, 15640])).
% 39.76/26.22 tff(15650,plain,
% 39.76/26.22 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15651,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15652,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15651, 15650])).
% 39.76/26.22 tff(15653,plain,
% 39.76/26.22 (v108(constB119)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15652, 320, 15649])).
% 39.76/26.22 tff(15654,plain,
% 39.76/26.22 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15655,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 39.76/26.22 tff(15656,plain,
% 39.76/26.22 (nextState(constB119, constB120)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15655, 15654])).
% 39.76/26.22 tff(15657,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15658,plain,
% 39.76/26.22 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15659,plain,
% 39.76/26.22 (((~![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))))),
% 39.76/26.22 inference(monotonicity,[status(thm)],[15658])).
% 39.76/26.22 tff(15660,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(transitivity,[status(thm)],[15659, 15657])).
% 39.76/26.22 tff(15661,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15662,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 39.76/26.22 tff(15663,plain,
% 39.76/26.22 (v110(constB120) | (~v108(constB119))),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15662, 337, 15656])).
% 39.76/26.22 tff(15664,plain,
% 39.76/26.22 (v110(constB120)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15663, 15653])).
% 39.76/26.22 tff(15665,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15666,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15667,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15666, 15665])).
% 39.76/26.22 tff(15668,plain,
% 39.76/26.22 (~v104(constB120)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15667, 355, 15656, 15542])).
% 39.76/26.22 tff(15669,plain,
% 39.76/26.22 (((~![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))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15670,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15671,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15670, 15669])).
% 39.76/26.22 tff(15672,plain,
% 39.76/26.22 (v102(constB120) | v104(constB120)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15671, 369, 15656])).
% 39.76/26.22 tff(15673,plain,
% 39.76/26.22 (v102(constB120)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15672, 15668])).
% 39.76/26.22 tff(15674,plain,
% 39.76/26.22 (v1(constB120) <=> v1(constB120)),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15675,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 39.76/26.22 tff(15676,plain,
% 39.76/26.22 (v1(constB120)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15675, 15674])).
% 39.76/26.22 tff(15677,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15678,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15679,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15678, 15677])).
% 39.76/26.22 tff(15680,plain,
% 39.76/26.22 (v101(constB120) | (~v102(constB120))),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15679, 387, 15656, 15676])).
% 39.76/26.22 tff(15681,plain,
% 39.76/26.22 (v101(constB120)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15680, 15673])).
% 39.76/26.22 tff(15682,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15683,plain,
% 39.76/26.22 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15684,plain,
% 39.76/26.22 (((~![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))))),
% 39.76/26.22 inference(monotonicity,[status(thm)],[15683])).
% 39.76/26.22 tff(15685,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(transitivity,[status(thm)],[15684, 15682])).
% 39.76/26.22 tff(15686,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15687,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15686, 15685])).
% 39.76/26.22 tff(15688,plain,
% 39.76/26.22 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15687, 402, 15656])).
% 39.76/26.22 tff(15689,plain,
% 39.76/26.22 (v100(constB120) | (~v110(constB120))),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15688, 15681])).
% 39.76/26.22 tff(15690,plain,
% 39.76/26.22 (v100(constB120)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15689, 15664])).
% 39.76/26.22 tff(15691,plain,
% 39.76/26.22 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB119)) | v130(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB119)) | v130(constB119, bitIndex2))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15692,plain,
% 39.76/26.22 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB119)) | v130(constB119, bitIndex2))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15693,plain,
% 39.76/26.22 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB119)) | v130(constB119, bitIndex2)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15692, 15691])).
% 39.76/26.22 tff(15694,plain,
% 39.76/26.22 (v130(constB119, bitIndex2)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15693, 2303, 15632])).
% 39.76/26.22 tff(15695,plain,
% 39.76/26.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15696,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15697,plain,
% 39.76/26.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15696, 15695])).
% 39.76/26.22 tff(15698,plain,
% 39.76/26.22 ((~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15697, 1821, 15644])).
% 39.76/26.22 tff(15699,plain,
% 39.76/26.22 (v127(constB119, bitIndex2)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15698, 15694])).
% 39.76/26.22 tff(15700,plain,
% 39.76/26.22 (((~![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))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15701,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15702,plain,
% 39.76/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15701, 15700])).
% 39.76/26.22 tff(15703,plain,
% 39.76/26.22 ((~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15702, 1836, 15656])).
% 39.76/26.22 tff(15704,plain,
% 39.76/26.22 (v129(constB120, bitIndex2)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15703, 15699])).
% 39.76/26.22 tff(15705,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15706,plain,
% 39.76/26.22 ((v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2))) <=> (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15707,plain,
% 39.76/26.22 (((~![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))))),
% 39.76/26.22 inference(monotonicity,[status(thm)],[15706])).
% 39.76/26.22 tff(15708,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(transitivity,[status(thm)],[15707, 15705])).
% 39.76/26.22 tff(15709,plain,
% 39.76/26.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))),
% 39.76/26.22 inference(quant_inst,[status(thm)],[])).
% 39.76/26.22 tff(15710,plain,
% 39.76/26.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15709, 15708])).
% 39.76/26.22 tff(15711,plain,
% 39.76/26.22 (v90(constB120, bitIndex2) | (~v100(constB120))),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15710, 2100, 15704])).
% 39.76/26.22 tff(15712,plain,
% 39.76/26.22 (v90(constB120, bitIndex2)),
% 39.76/26.22 inference(unit_resolution,[status(thm)],[15711, 15690])).
% 39.76/26.22 tff(15713,plain,
% 39.76/26.22 ((~v1(constB121)) <=> (~v1(constB121))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15714,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 39.76/26.22 tff(15715,plain,
% 39.76/26.22 (~v1(constB121)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15714, 15713])).
% 39.76/26.22 tff(15716,plain,
% 39.76/26.22 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15717,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 39.76/26.22 tff(15718,plain,
% 39.76/26.22 (nextState(constB120, constB121)),
% 39.76/26.22 inference(modus_ponens,[status(thm)],[15717, 15716])).
% 39.76/26.22 tff(15719,plain,
% 39.76/26.22 (((~![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)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15720,plain,
% 39.76/26.22 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 39.76/26.22 inference(rewrite,[status(thm)],[])).
% 39.76/26.22 tff(15721,plain,
% 39.76/26.22 (((~![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))))),
% 39.76/26.23 inference(monotonicity,[status(thm)],[15720])).
% 39.76/26.23 tff(15722,plain,
% 39.76/26.23 (((~![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)))),
% 39.76/26.23 inference(transitivity,[status(thm)],[15721, 15719])).
% 39.76/26.23 tff(15723,plain,
% 39.76/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15724,plain,
% 39.76/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15723, 15722])).
% 39.76/26.23 tff(15725,plain,
% 39.76/26.23 (~v101(constB121)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15724, 133, 15718, 15715])).
% 39.76/26.23 tff(15726,plain,
% 39.76/26.23 (((~![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)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15727,plain,
% 39.76/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15728,plain,
% 39.76/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15727, 15726])).
% 39.76/26.23 tff(15729,plain,
% 39.76/26.23 (v101(constB121) | (~v100(constB121))),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15728, 150, 15718])).
% 39.76/26.23 tff(15730,plain,
% 39.76/26.23 (~v100(constB121)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15729, 15725])).
% 39.76/26.23 tff(15731,plain,
% 39.76/26.23 (((~![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))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15732,plain,
% 39.76/26.23 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)) <=> ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15733,plain,
% 39.76/26.23 (((~![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)))),
% 39.76/26.23 inference(monotonicity,[status(thm)],[15732])).
% 39.76/26.23 tff(15734,plain,
% 39.76/26.23 (((~![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))),
% 39.76/26.23 inference(transitivity,[status(thm)],[15733, 15731])).
% 39.76/26.23 tff(15735,plain,
% 39.76/26.23 ((~![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))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15736,plain,
% 39.76/26.23 ((~![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)),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15735, 15734])).
% 39.76/26.23 tff(15737,plain,
% 39.76/26.23 ((~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15736, 2118, 15718])).
% 39.76/26.23 tff(15738,plain,
% 39.76/26.23 ((~v90(constB120, bitIndex2)) | v90(constB121, bitIndex2)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15737, 15730])).
% 39.76/26.23 tff(15739,plain,
% 39.76/26.23 (v90(constB121, bitIndex2)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15738, 15712])).
% 39.76/26.23 tff(15740,plain,
% 39.76/26.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v121(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v121(constB121)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15741,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v121(constB121)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15742,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v121(constB121))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15741, 15740])).
% 39.76/26.23 tff(15743,plain,
% 39.76/26.23 (~v121(constB121)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15742, 2586, 15739])).
% 39.76/26.23 tff(15744,plain,
% 39.76/26.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v122(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v122(constB121)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15745,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v122(constB121)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15746,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v122(constB121))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15745, 15744])).
% 39.76/26.23 tff(15747,plain,
% 39.76/26.23 (~v122(constB121)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15746, 3526, 15739])).
% 39.76/26.23 tff(15748,plain,
% 39.76/26.23 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB119)) | v130(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB119)) | v130(constB119, bitIndex1))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15749,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB119)) | v130(constB119, bitIndex1))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15750,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB119)) | v130(constB119, bitIndex1)),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15749, 15748])).
% 39.76/26.23 tff(15751,plain,
% 39.76/26.23 (v130(constB119, bitIndex1)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15750, 2347, 15632])).
% 39.76/26.23 tff(15752,plain,
% 39.76/26.23 (((~![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))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15753,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15754,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15753, 15752])).
% 39.76/26.23 tff(15755,plain,
% 39.76/26.23 ((~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15754, 882, 15644])).
% 39.76/26.23 tff(15756,plain,
% 39.76/26.23 (v127(constB119, bitIndex1)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15755, 15751])).
% 39.76/26.23 tff(15757,plain,
% 39.76/26.23 (((~![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))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15758,plain,
% 39.76/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15759,plain,
% 39.76/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15758, 15757])).
% 39.76/26.23 tff(15760,plain,
% 39.76/26.23 ((~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15759, 897, 15656])).
% 39.76/26.23 tff(15761,plain,
% 39.76/26.23 (v129(constB120, bitIndex1)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15760, 15756])).
% 39.76/26.23 tff(15762,plain,
% 39.76/26.23 (((~![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)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15763,plain,
% 39.76/26.23 ((v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1))) <=> (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15764,plain,
% 39.76/26.23 (((~![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))))),
% 39.76/26.23 inference(monotonicity,[status(thm)],[15763])).
% 39.76/26.23 tff(15765,plain,
% 39.76/26.23 (((~![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)))),
% 39.76/26.23 inference(transitivity,[status(thm)],[15764, 15762])).
% 39.76/26.23 tff(15766,plain,
% 39.76/26.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15767,plain,
% 39.76/26.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15766, 15765])).
% 39.76/26.23 tff(15768,plain,
% 39.76/26.23 (v90(constB120, bitIndex1) | (~v100(constB120))),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15767, 912, 15761])).
% 39.76/26.23 tff(15769,plain,
% 39.76/26.23 (v90(constB120, bitIndex1)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15768, 15690])).
% 39.76/26.23 tff(15770,plain,
% 39.76/26.23 (((~![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))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15771,plain,
% 39.76/26.23 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)) <=> ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15772,plain,
% 39.76/26.23 (((~![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)))),
% 39.76/26.23 inference(monotonicity,[status(thm)],[15771])).
% 39.76/26.23 tff(15773,plain,
% 39.76/26.23 (((~![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))),
% 39.76/26.23 inference(transitivity,[status(thm)],[15772, 15770])).
% 39.76/26.23 tff(15774,plain,
% 39.76/26.23 ((~![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))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15775,plain,
% 39.76/26.23 ((~![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)),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15774, 15773])).
% 39.76/26.23 tff(15776,plain,
% 39.76/26.23 ((~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15775, 1049, 15718])).
% 39.76/26.23 tff(15777,plain,
% 39.76/26.23 ((~v90(constB120, bitIndex1)) | v90(constB121, bitIndex1)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15776, 15730])).
% 39.76/26.23 tff(15778,plain,
% 39.76/26.23 (v90(constB121, bitIndex1)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15777, 15769])).
% 39.76/26.23 tff(15779,plain,
% 39.76/26.23 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB121)) | (~v90(constB121, bitIndex1)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15780,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex1)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15781,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB121)) | (~v90(constB121, bitIndex1))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15780, 15779])).
% 39.76/26.23 tff(15782,plain,
% 39.76/26.23 (~v119(constB121)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15781, 2604, 15778])).
% 39.76/26.23 tff(15783,plain,
% 39.76/26.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v120(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v120(constB121)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15784,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v120(constB121)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15785,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v120(constB121))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15784, 15783])).
% 39.76/26.23 tff(15786,plain,
% 39.76/26.23 (~v120(constB121)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15785, 2615, 15778])).
% 39.76/26.23 tff(15787,plain,
% 39.76/26.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v123(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v123(constB121)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15788,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v123(constB121)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15789,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v123(constB121))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15788, 15787])).
% 39.76/26.23 tff(15790,plain,
% 39.76/26.23 (~v123(constB121)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15789, 2626, 15778])).
% 39.76/26.23 tff(15791,plain,
% 39.76/26.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v124(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v124(constB121)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15792,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v124(constB121)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15793,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v124(constB121))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15792, 15791])).
% 39.76/26.23 tff(15794,plain,
% 39.76/26.23 (~v124(constB121)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15793, 2637, 15778])).
% 39.76/26.23 tff(15795,plain,
% 39.76/26.23 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB121, bitIndex0) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB121, bitIndex0) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15796,plain,
% 39.76/26.23 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0)) <=> (v130(constB121, bitIndex0) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15797,plain,
% 39.76/26.23 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB121, bitIndex0) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121)))),
% 39.76/26.23 inference(monotonicity,[status(thm)],[15796])).
% 39.76/26.23 tff(15798,plain,
% 39.76/26.23 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB121, bitIndex0) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121))),
% 39.76/26.23 inference(transitivity,[status(thm)],[15797, 15795])).
% 39.76/26.23 tff(15799,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15800,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB121, bitIndex0) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121)),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15799, 15798])).
% 39.76/26.23 tff(15801,plain,
% 39.76/26.23 (v130(constB121, bitIndex0)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15800, 2753, 15794, 15790, 15786, 15782, 15747, 15743])).
% 39.76/26.23 tff(15802,plain,
% 39.76/26.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15803,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15804,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0)),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15803, 15802])).
% 39.76/26.23 tff(15805,plain,
% 39.76/26.23 (v26(constB121) | v127(constB121, bitIndex0)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15804, 601, 15801])).
% 39.76/26.23 tff(15806,plain,
% 39.76/26.23 (v127(constB121, bitIndex0)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15805, 15301])).
% 39.76/26.23 tff(15807,plain,
% 39.76/26.23 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15808,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 39.76/26.23 tff(15809,plain,
% 39.76/26.23 (nextState(constB121, constB122)),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15808, 15807])).
% 39.76/26.23 tff(15810,plain,
% 39.76/26.23 (((~![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))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15811,plain,
% 39.76/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15812,plain,
% 39.76/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15811, 15810])).
% 39.76/26.23 tff(15813,plain,
% 39.76/26.23 ((~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15812, 616, 15809])).
% 39.76/26.23 tff(15814,plain,
% 39.76/26.23 (v129(constB122, bitIndex0)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15813, 15806])).
% 39.76/26.23 tff(15815,assumption,(~v108(constB121)), introduced(assumption)).
% 39.76/26.23 tff(15816,plain,
% 39.76/26.23 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15817,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15818,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15817, 15816])).
% 39.76/26.23 tff(15819,plain,
% 39.76/26.23 (~v112(constB121)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15818, 320, 15815])).
% 39.76/26.23 tff(15820,plain,
% 39.76/26.23 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB121) | (~v26(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB121) | (~v26(constB121)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15821,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB121) | (~v26(constB121)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15822,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB121) | (~v26(constB121))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15821, 15820])).
% 39.76/26.23 tff(15823,plain,
% 39.76/26.23 (~v26(constB121)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15822, 766, 15815])).
% 39.76/26.23 tff(15824,plain,
% 39.76/26.23 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB119)) | (~v130(constB119, bitIndex0)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15825,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex0)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15826,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB119)) | (~v130(constB119, bitIndex0))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15825, 15824])).
% 39.76/26.23 tff(15827,plain,
% 39.76/26.23 (~v130(constB119, bitIndex0)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15826, 1519, 15632])).
% 39.76/26.23 tff(15828,assumption,(v127(constB119, bitIndex0)), introduced(assumption)).
% 39.76/26.23 tff(15829,assumption,(~v130(constB119, bitIndex0)), introduced(assumption)).
% 39.76/26.23 tff(15830,plain,
% 39.76/26.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15831,plain,
% 39.76/26.23 ((v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0))) <=> ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15832,plain,
% 39.76/26.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)))),
% 39.76/26.23 inference(monotonicity,[status(thm)],[15831])).
% 39.76/26.23 tff(15833,plain,
% 39.76/26.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 39.76/26.23 inference(transitivity,[status(thm)],[15832, 15830])).
% 39.76/26.23 tff(15834,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15835,plain,
% 39.76/26.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15834, 15833])).
% 39.76/26.23 tff(15836,plain,
% 39.76/26.23 ((~v127(constB119, bitIndex0)) | v26(constB119)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15835, 944, 15829])).
% 39.76/26.23 tff(15837,plain,
% 39.76/26.23 (v26(constB119)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15836, 15828])).
% 39.76/26.23 tff(15838,plain,
% 39.76/26.23 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB119)) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB119)) | (~v127(constB119, bitIndex0)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15839,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB119)) | (~v127(constB119, bitIndex0)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15840,plain,
% 39.76/26.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB119)) | (~v127(constB119, bitIndex0))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15839, 15838])).
% 39.76/26.23 tff(15841,plain,
% 39.76/26.23 ($false),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15840, 1070, 15828, 15837])).
% 39.76/26.23 tff(15842,plain,((~v127(constB119, bitIndex0)) | v130(constB119, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.23 tff(15843,plain,
% 39.76/26.23 (~v127(constB119, bitIndex0)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15842, 15827])).
% 39.76/26.23 tff(15844,plain,
% 39.76/26.23 (((~![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)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15845,plain,
% 39.76/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 39.76/26.23 inference(quant_inst,[status(thm)],[])).
% 39.76/26.23 tff(15846,plain,
% 39.76/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 39.76/26.23 inference(modus_ponens,[status(thm)],[15845, 15844])).
% 39.76/26.23 tff(15847,plain,
% 39.76/26.23 (v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15846, 962, 15656])).
% 39.76/26.23 tff(15848,plain,
% 39.76/26.23 (~v129(constB120, bitIndex0)),
% 39.76/26.23 inference(unit_resolution,[status(thm)],[15847, 15843])).
% 39.76/26.23 tff(15849,plain,
% 39.76/26.23 (((~![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)))),
% 39.76/26.23 inference(rewrite,[status(thm)],[])).
% 39.76/26.23 tff(15850,plain,
% 39.76/26.24 (((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15851,plain,
% 39.76/26.24 (((~![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))))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15850])).
% 39.76/26.24 tff(15852,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15851, 15849])).
% 39.76/26.24 tff(15853,plain,
% 39.76/26.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15854,plain,
% 39.76/26.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15853, 15852])).
% 39.76/26.24 tff(15855,plain,
% 39.76/26.24 ((~v90(constB120, bitIndex0)) | (~v100(constB120))),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15854, 977, 15848])).
% 39.76/26.24 tff(15856,plain,
% 39.76/26.24 (~v90(constB120, bitIndex0)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15855, 15690])).
% 39.76/26.24 tff(15857,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15858,plain,
% 39.76/26.24 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15859,plain,
% 39.76/26.24 (((~![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))))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15858])).
% 39.76/26.24 tff(15860,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15859, 15857])).
% 39.76/26.24 tff(15861,plain,
% 39.76/26.24 ((~![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)))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15862,plain,
% 39.76/26.24 ((~![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))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15861, 15860])).
% 39.76/26.24 tff(15863,plain,
% 39.76/26.24 (v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15862, 207, 15718])).
% 39.76/26.24 tff(15864,plain,
% 39.76/26.24 (v90(constB120, bitIndex0) | (~v90(constB121, bitIndex0))),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15863, 15730])).
% 39.76/26.24 tff(15865,plain,
% 39.76/26.24 (~v90(constB121, bitIndex0)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15864, 15856])).
% 39.76/26.24 tff(15866,plain,
% 39.76/26.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15867,plain,
% 39.76/26.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15868,plain,
% 39.76/26.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121)),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15867, 15866])).
% 39.76/26.24 tff(15869,plain,
% 39.76/26.24 (v125(constB121)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15868, 1308, 15865, 15778, 15739])).
% 39.76/26.24 tff(15870,plain,
% 39.76/26.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB121) | (~v125(constB121)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB121) | (~v125(constB121)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15871,plain,
% 39.76/26.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB121) | (~v125(constB121)))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15872,plain,
% 39.76/26.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB121) | (~v125(constB121))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15871, 15870])).
% 39.76/26.24 tff(15873,plain,
% 39.76/26.24 (v113(constB121)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15872, 1294, 15869])).
% 39.76/26.24 tff(15874,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15875,plain,
% 39.76/26.24 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15876,plain,
% 39.76/26.24 (((~![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))))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15875])).
% 39.76/26.24 tff(15877,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15876, 15874])).
% 39.76/26.24 tff(15878,plain,
% 39.76/26.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15879,plain,
% 39.76/26.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15878, 15877])).
% 39.76/26.24 tff(15880,plain,
% 39.76/26.24 (v26(constB121) | v112(constB121)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15879, 308, 15873])).
% 39.76/26.24 tff(15881,plain,
% 39.76/26.24 ($false),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15880, 15823, 15819])).
% 39.76/26.24 tff(15882,plain,(v108(constB121)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.24 tff(15883,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15884,plain,
% 39.76/26.24 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15885,plain,
% 39.76/26.24 (((~![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))))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15884])).
% 39.76/26.24 tff(15886,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15885, 15883])).
% 39.76/26.24 tff(15887,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15888,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15887, 15886])).
% 39.76/26.24 tff(15889,plain,
% 39.76/26.24 (v110(constB122) | (~v108(constB121))),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15888, 337, 15809])).
% 39.76/26.24 tff(15890,plain,
% 39.76/26.24 (v110(constB122)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15889, 15882])).
% 39.76/26.24 tff(15891,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15892,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15893,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15892, 15891])).
% 39.76/26.24 tff(15894,plain,
% 39.76/26.24 (~v104(constB122)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15893, 355, 15809, 15715])).
% 39.76/26.24 tff(15895,plain,
% 39.76/26.24 (((~![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))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15896,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15897,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15896, 15895])).
% 39.76/26.24 tff(15898,plain,
% 39.76/26.24 (v102(constB122) | v104(constB122)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15897, 369, 15809])).
% 39.76/26.24 tff(15899,plain,
% 39.76/26.24 (v102(constB122)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15898, 15894])).
% 39.76/26.24 tff(15900,plain,
% 39.76/26.24 (v1(constB122) <=> v1(constB122)),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15901,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 39.76/26.24 tff(15902,plain,
% 39.76/26.24 (v1(constB122)),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15901, 15900])).
% 39.76/26.24 tff(15903,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15904,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15905,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15904, 15903])).
% 39.76/26.24 tff(15906,plain,
% 39.76/26.24 (v101(constB122) | (~v102(constB122))),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15905, 387, 15809, 15902])).
% 39.76/26.24 tff(15907,plain,
% 39.76/26.24 (v101(constB122)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15906, 15899])).
% 39.76/26.24 tff(15908,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15909,plain,
% 39.76/26.24 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15910,plain,
% 39.76/26.24 (((~![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))))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15909])).
% 39.76/26.24 tff(15911,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15910, 15908])).
% 39.76/26.24 tff(15912,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15913,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15912, 15911])).
% 39.76/26.24 tff(15914,plain,
% 39.76/26.24 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15913, 402, 15809])).
% 39.76/26.24 tff(15915,plain,
% 39.76/26.24 (v100(constB122) | (~v110(constB122))),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15914, 15907])).
% 39.76/26.24 tff(15916,plain,
% 39.76/26.24 (v100(constB122)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15915, 15890])).
% 39.76/26.24 tff(15917,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15918,plain,
% 39.76/26.24 ((v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0))) <=> (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15919,plain,
% 39.76/26.24 (((~![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))))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15918])).
% 39.76/26.24 tff(15920,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15919, 15917])).
% 39.76/26.24 tff(15921,plain,
% 39.76/26.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15922,plain,
% 39.76/26.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15921, 15920])).
% 39.76/26.24 tff(15923,plain,
% 39.76/26.24 (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0))),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15922, 631, 15916])).
% 39.76/26.24 tff(15924,plain,
% 39.76/26.24 (v90(constB122, bitIndex0)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15923, 15814])).
% 39.76/26.24 tff(15925,plain,
% 39.76/26.24 ((~v1(constB123)) <=> (~v1(constB123))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15926,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 39.76/26.24 tff(15927,plain,
% 39.76/26.24 (~v1(constB123)),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15926, 15925])).
% 39.76/26.24 tff(15928,plain,
% 39.76/26.24 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15929,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 39.76/26.24 tff(15930,plain,
% 39.76/26.24 (nextState(constB122, constB123)),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15929, 15928])).
% 39.76/26.24 tff(15931,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15932,plain,
% 39.76/26.24 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15933,plain,
% 39.76/26.24 (((~![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))))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15932])).
% 39.76/26.24 tff(15934,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15933, 15931])).
% 39.76/26.24 tff(15935,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15936,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15935, 15934])).
% 39.76/26.24 tff(15937,plain,
% 39.76/26.24 (~v101(constB123)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15936, 133, 15930, 15927])).
% 39.76/26.24 tff(15938,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15939,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15940,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15939, 15938])).
% 39.76/26.24 tff(15941,plain,
% 39.76/26.24 (v101(constB123) | (~v100(constB123))),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15940, 150, 15930])).
% 39.76/26.24 tff(15942,plain,
% 39.76/26.24 (~v100(constB123)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15941, 15937])).
% 39.76/26.24 tff(15943,plain,
% 39.76/26.24 (((~![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))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15944,plain,
% 39.76/26.24 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0)) <=> ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15945,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15944])).
% 39.76/26.24 tff(15946,plain,
% 39.76/26.24 (((~![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))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15945, 15943])).
% 39.76/26.24 tff(15947,plain,
% 39.76/26.24 ((~![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))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15948,plain,
% 39.76/26.24 ((~![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)),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15947, 15946])).
% 39.76/26.24 tff(15949,plain,
% 39.76/26.24 ((~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15948, 649, 15930])).
% 39.76/26.24 tff(15950,plain,
% 39.76/26.24 ((~v90(constB122, bitIndex0)) | v90(constB123, bitIndex0)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15949, 15942])).
% 39.76/26.24 tff(15951,plain,
% 39.76/26.24 (v90(constB123, bitIndex0)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15950, 15924])).
% 39.76/26.24 tff(15952,assumption,(v127(constB121, bitIndex2)), introduced(assumption)).
% 39.76/26.24 tff(15953,plain,
% 39.76/26.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex2)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15954,plain,
% 39.76/26.24 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2))) <=> (v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex2)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15955,plain,
% 39.76/26.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex2))))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15954])).
% 39.76/26.24 tff(15956,plain,
% 39.76/26.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex2)))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15955, 15953])).
% 39.76/26.24 tff(15957,plain,
% 39.76/26.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15958,plain,
% 39.76/26.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex2))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15957, 15956])).
% 39.76/26.24 tff(15959,plain,
% 39.76/26.24 (~v130(constB121, bitIndex2)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15958, 1993, 15794, 15790, 15786, 15782, 15747, 15743])).
% 39.76/26.24 tff(15960,plain,
% 39.76/26.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15961,plain,
% 39.76/26.24 ((v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2))) <=> ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15962,plain,
% 39.76/26.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15961])).
% 39.76/26.24 tff(15963,plain,
% 39.76/26.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15962, 15960])).
% 39.76/26.24 tff(15964,plain,
% 39.76/26.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15965,plain,
% 39.76/26.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15964, 15963])).
% 39.76/26.24 tff(15966,plain,
% 39.76/26.24 ((~v127(constB121, bitIndex2)) | v26(constB121)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15965, 435, 15959])).
% 39.76/26.24 tff(15967,plain,
% 39.76/26.24 (v26(constB121)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15966, 15952])).
% 39.76/26.24 tff(15968,plain,
% 39.76/26.24 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB121)) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB121)) | (~v127(constB121, bitIndex2)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15969,plain,
% 39.76/26.24 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB121)) | (~v127(constB121, bitIndex2)))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15970,plain,
% 39.76/26.24 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB121)) | (~v127(constB121, bitIndex2))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 39.76/26.24 tff(15971,plain,
% 39.76/26.24 ($false),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15970, 1452, 15952, 15967])).
% 39.76/26.24 tff(15972,plain,(~v127(constB121, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.24 tff(15973,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15974,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15975,plain,
% 39.76/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 39.76/26.24 inference(modus_ponens,[status(thm)],[15974, 15973])).
% 39.76/26.24 tff(15976,plain,
% 39.76/26.24 (v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15975, 453, 15809])).
% 39.76/26.24 tff(15977,plain,
% 39.76/26.24 (~v129(constB122, bitIndex2)),
% 39.76/26.24 inference(unit_resolution,[status(thm)],[15976, 15972])).
% 39.76/26.24 tff(15978,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15979,plain,
% 39.76/26.24 (((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2)) <=> ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 39.76/26.24 inference(rewrite,[status(thm)],[])).
% 39.76/26.24 tff(15980,plain,
% 39.76/26.24 (((~![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))))),
% 39.76/26.24 inference(monotonicity,[status(thm)],[15979])).
% 39.76/26.24 tff(15981,plain,
% 39.76/26.24 (((~![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)))),
% 39.76/26.24 inference(transitivity,[status(thm)],[15980, 15978])).
% 39.76/26.24 tff(15982,plain,
% 39.76/26.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))),
% 39.76/26.24 inference(quant_inst,[status(thm)],[])).
% 39.76/26.24 tff(15983,plain,
% 39.76/26.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[15982, 15981])).
% 39.76/26.25 tff(15984,plain,
% 39.76/26.25 ((~v90(constB122, bitIndex2)) | (~v100(constB122))),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[15983, 468, 15977])).
% 39.76/26.25 tff(15985,plain,
% 39.76/26.25 (~v90(constB122, bitIndex2)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[15984, 15916])).
% 39.76/26.25 tff(15986,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(15987,plain,
% 39.76/26.25 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(15988,plain,
% 39.76/26.25 (((~![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))))),
% 39.76/26.25 inference(monotonicity,[status(thm)],[15987])).
% 39.76/26.25 tff(15989,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(transitivity,[status(thm)],[15988, 15986])).
% 39.76/26.25 tff(15990,plain,
% 39.76/26.25 ((~![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)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(15991,plain,
% 39.76/26.25 ((~![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))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[15990, 15989])).
% 39.76/26.25 tff(15992,plain,
% 39.76/26.25 (v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[15991, 165, 15930])).
% 39.76/26.25 tff(15993,plain,
% 39.76/26.25 (v90(constB122, bitIndex2) | (~v90(constB123, bitIndex2))),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[15992, 15942])).
% 39.76/26.25 tff(15994,plain,
% 39.76/26.25 (~v90(constB123, bitIndex2)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[15993, 15985])).
% 39.76/26.25 tff(15995,assumption,(v127(constB121, bitIndex1)), introduced(assumption)).
% 39.76/26.25 tff(15996,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex1)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(15997,plain,
% 39.76/26.25 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1))) <=> (v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex1)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(15998,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex1))))),
% 39.76/26.25 inference(monotonicity,[status(thm)],[15997])).
% 39.76/26.25 tff(15999,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex1)))),
% 39.76/26.25 inference(transitivity,[status(thm)],[15998, 15996])).
% 39.76/26.25 tff(16000,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16001,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB121) | v122(constB121) | v121(constB121) | v119(constB121) | v124(constB121) | v120(constB121) | (~v130(constB121, bitIndex1))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16000, 15999])).
% 39.76/26.25 tff(16002,plain,
% 39.76/26.25 (~v130(constB121, bitIndex1)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16001, 1562, 15794, 15790, 15786, 15782, 15747, 15743])).
% 39.76/26.25 tff(16003,plain,
% 39.76/26.25 (((~![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))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16004,plain,
% 39.76/26.25 ((v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1))) <=> ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16005,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(monotonicity,[status(thm)],[16004])).
% 39.76/26.25 tff(16006,plain,
% 39.76/26.25 (((~![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))),
% 39.76/26.25 inference(transitivity,[status(thm)],[16005, 16003])).
% 39.76/26.25 tff(16007,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16008,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16007, 16006])).
% 39.76/26.25 tff(16009,plain,
% 39.76/26.25 ((~v127(constB121, bitIndex1)) | v26(constB121)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16008, 527, 16002])).
% 39.76/26.25 tff(16010,plain,
% 39.76/26.25 (v26(constB121)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16009, 15995])).
% 39.76/26.25 tff(16011,plain,
% 39.76/26.25 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 39.76/26.25 inference(bind,[status(th)],[])).
% 39.76/26.25 tff(16012,plain,
% 39.76/26.25 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 39.76/26.25 inference(quant_intro,[status(thm)],[16011])).
% 39.76/26.25 tff(16013,plain,
% 39.76/26.25 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16014,plain,
% 39.76/26.25 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 39.76/26.25 inference(bind,[status(th)],[])).
% 39.76/26.25 tff(16015,plain,
% 39.76/26.25 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 39.76/26.25 inference(quant_intro,[status(thm)],[16014])).
% 39.76/26.25 tff(16016,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 39.76/26.25 tff(16017,plain,
% 39.76/26.25 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16016, 16015])).
% 39.76/26.25 tff(16018,plain,
% 39.76/26.25 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16017, 16013])).
% 39.76/26.25 tff(16019,plain,(
% 39.76/26.25 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 39.76/26.25 inference(skolemize,[status(sab)],[16018])).
% 39.76/26.25 tff(16020,plain,
% 39.76/26.25 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16019, 16012])).
% 39.76/26.25 tff(16021,plain,
% 39.76/26.25 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB121)) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB121)) | (~v127(constB121, bitIndex1)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16022,plain,
% 39.76/26.25 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB121)) | (~v127(constB121, bitIndex1)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16023,plain,
% 39.76/26.25 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB121)) | (~v127(constB121, bitIndex1))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16022, 16021])).
% 39.76/26.25 tff(16024,plain,
% 39.76/26.25 ($false),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16023, 16020, 15995, 16010])).
% 39.76/26.25 tff(16025,plain,(~v127(constB121, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.25 tff(16026,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16027,plain,
% 39.76/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16028,plain,
% 39.76/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16027, 16026])).
% 39.76/26.25 tff(16029,plain,
% 39.76/26.25 (v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16028, 545, 15809])).
% 39.76/26.25 tff(16030,plain,
% 39.76/26.25 (~v129(constB122, bitIndex1)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16029, 16025])).
% 39.76/26.25 tff(16031,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16032,plain,
% 39.76/26.25 (((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16033,plain,
% 39.76/26.25 (((~![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))))),
% 39.76/26.25 inference(monotonicity,[status(thm)],[16032])).
% 39.76/26.25 tff(16034,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(transitivity,[status(thm)],[16033, 16031])).
% 39.76/26.25 tff(16035,plain,
% 39.76/26.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16036,plain,
% 39.76/26.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16035, 16034])).
% 39.76/26.25 tff(16037,plain,
% 39.76/26.25 ((~v90(constB122, bitIndex1)) | (~v100(constB122))),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16036, 560, 16030])).
% 39.76/26.25 tff(16038,plain,
% 39.76/26.25 (~v90(constB122, bitIndex1)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16037, 15916])).
% 39.76/26.25 tff(16039,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16040,plain,
% 39.76/26.25 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))) <=> (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16041,plain,
% 39.76/26.25 (((~![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))))),
% 39.76/26.25 inference(monotonicity,[status(thm)],[16040])).
% 39.76/26.25 tff(16042,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(transitivity,[status(thm)],[16041, 16039])).
% 39.76/26.25 tff(16043,plain,
% 39.76/26.25 ((~![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)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16044,plain,
% 39.76/26.25 ((~![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))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16043, 16042])).
% 39.76/26.25 tff(16045,plain,
% 39.76/26.25 (v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16044, 186, 15930])).
% 39.76/26.25 tff(16046,plain,
% 39.76/26.25 (v90(constB122, bitIndex1) | (~v90(constB123, bitIndex1))),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16045, 15942])).
% 39.76/26.25 tff(16047,plain,
% 39.76/26.25 (~v90(constB123, bitIndex1)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16046, 16038])).
% 39.76/26.25 tff(16048,plain,
% 39.76/26.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16049,plain,
% 39.76/26.25 (((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2)) <=> ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16050,plain,
% 39.76/26.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)))),
% 39.76/26.25 inference(monotonicity,[status(thm)],[16049])).
% 39.76/26.25 tff(16051,plain,
% 39.76/26.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 39.76/26.25 inference(transitivity,[status(thm)],[16050, 16048])).
% 39.76/26.25 tff(16052,plain,
% 39.76/26.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16053,plain,
% 39.76/26.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 39.76/26.25 tff(16054,plain,
% 39.76/26.25 ((~v90(constB123, bitIndex0)) | v120(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16053, 668, 16047, 15994])).
% 39.76/26.25 tff(16055,plain,
% 39.76/26.25 (v120(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16054, 15951])).
% 39.76/26.25 tff(16056,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB123) | (~v120(constB123)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB123) | (~v120(constB123)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16057,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB123) | (~v120(constB123)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16058,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB123) | (~v120(constB123))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16057, 16056])).
% 39.76/26.25 tff(16059,plain,
% 39.76/26.25 (v118(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16058, 778, 16055])).
% 39.76/26.25 tff(16060,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB123) | (~v118(constB123)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16061,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB123) | (~v118(constB123)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16062,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB123) | (~v118(constB123))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16061, 16060])).
% 39.76/26.25 tff(16063,plain,
% 39.76/26.25 (v117(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16062, 250, 16059])).
% 39.76/26.25 tff(16064,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB123) | (~v117(constB123)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB123) | (~v117(constB123)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16065,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB123) | (~v117(constB123)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16066,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB123) | (~v117(constB123))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16065, 16064])).
% 39.76/26.25 tff(16067,plain,
% 39.76/26.25 (v116(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16066, 261, 16063])).
% 39.76/26.25 tff(16068,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB123) | (~v116(constB123)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16069,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB123) | (~v116(constB123)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16070,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB123) | (~v116(constB123))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16069, 16068])).
% 39.76/26.25 tff(16071,plain,
% 39.76/26.25 (v115(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16070, 272, 16067])).
% 39.76/26.25 tff(16072,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16073,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16074,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16073, 16072])).
% 39.76/26.25 tff(16075,plain,
% 39.76/26.25 (v114(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16074, 283, 16071])).
% 39.76/26.25 tff(16076,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16077,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16078,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16077, 16076])).
% 39.76/26.25 tff(16079,plain,
% 39.76/26.25 (v113(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16078, 294, 16075])).
% 39.76/26.25 tff(16080,assumption,(v26(constB123)), introduced(assumption)).
% 39.76/26.25 tff(16081,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16082,plain,
% 39.76/26.25 ($false),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16081, 86, 16080])).
% 39.76/26.25 tff(16083,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.25 tff(16084,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16085,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16086,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | (~v113(constB123)) | v112(constB123)),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 39.76/26.25 tff(16087,plain,
% 39.76/26.25 ((~v113(constB123)) | v112(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16086, 308, 16083])).
% 39.76/26.25 tff(16088,plain,
% 39.76/26.25 (v112(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16087, 16079])).
% 39.76/26.25 tff(16089,plain,
% 39.76/26.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16090,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16091,plain,
% 39.76/26.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16090, 16089])).
% 39.76/26.25 tff(16092,plain,
% 39.76/26.25 (v108(constB123)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16091, 320, 16088])).
% 39.76/26.25 tff(16093,plain,
% 39.76/26.25 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16094,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 39.76/26.25 tff(16095,plain,
% 39.76/26.25 (nextState(constB123, constB124)),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16094, 16093])).
% 39.76/26.25 tff(16096,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16097,plain,
% 39.76/26.25 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16098,plain,
% 39.76/26.25 (((~![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))))),
% 39.76/26.25 inference(monotonicity,[status(thm)],[16097])).
% 39.76/26.25 tff(16099,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(transitivity,[status(thm)],[16098, 16096])).
% 39.76/26.25 tff(16100,plain,
% 39.76/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16101,plain,
% 39.76/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16100, 16099])).
% 39.76/26.25 tff(16102,plain,
% 39.76/26.25 (v110(constB124) | (~v108(constB123))),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16101, 337, 16095])).
% 39.76/26.25 tff(16103,plain,
% 39.76/26.25 (v110(constB124)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16102, 16092])).
% 39.76/26.25 tff(16104,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16105,plain,
% 39.76/26.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16106,plain,
% 39.76/26.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16105, 16104])).
% 39.76/26.25 tff(16107,plain,
% 39.76/26.25 (~v104(constB124)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16106, 355, 16095, 15927])).
% 39.76/26.25 tff(16108,plain,
% 39.76/26.25 (((~![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))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16109,plain,
% 39.76/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16110,plain,
% 39.76/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16109, 16108])).
% 39.76/26.25 tff(16111,plain,
% 39.76/26.25 (v102(constB124) | v104(constB124)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16110, 369, 16095])).
% 39.76/26.25 tff(16112,plain,
% 39.76/26.25 (v102(constB124)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16111, 16107])).
% 39.76/26.25 tff(16113,plain,
% 39.76/26.25 (v1(constB124) <=> v1(constB124)),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16114,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 39.76/26.25 tff(16115,plain,
% 39.76/26.25 (v1(constB124)),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 39.76/26.25 tff(16116,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16117,plain,
% 39.76/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 39.76/26.25 inference(quant_inst,[status(thm)],[])).
% 39.76/26.25 tff(16118,plain,
% 39.76/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))),
% 39.76/26.25 inference(modus_ponens,[status(thm)],[16117, 16116])).
% 39.76/26.25 tff(16119,plain,
% 39.76/26.25 (v101(constB124) | (~v102(constB124))),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16118, 387, 16095, 16115])).
% 39.76/26.25 tff(16120,plain,
% 39.76/26.25 (v101(constB124)),
% 39.76/26.25 inference(unit_resolution,[status(thm)],[16119, 16112])).
% 39.76/26.25 tff(16121,plain,
% 39.76/26.25 (((~![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)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.25 tff(16122,plain,
% 39.76/26.25 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 39.76/26.25 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16123,plain,
% 39.76/26.26 (((~![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))))),
% 39.76/26.26 inference(monotonicity,[status(thm)],[16122])).
% 39.76/26.26 tff(16124,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(transitivity,[status(thm)],[16123, 16121])).
% 39.76/26.26 tff(16125,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16126,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16125, 16124])).
% 39.76/26.26 tff(16127,plain,
% 39.76/26.26 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16126, 402, 16095])).
% 39.76/26.26 tff(16128,plain,
% 39.76/26.26 (v100(constB124) | (~v110(constB124))),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16127, 16120])).
% 39.76/26.26 tff(16129,plain,
% 39.76/26.26 (v100(constB124)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16128, 16103])).
% 39.76/26.26 tff(16130,plain,
% 39.76/26.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v130(constB123, bitIndex2)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16131,plain,
% 39.76/26.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex2)))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16132,plain,
% 39.76/26.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v130(constB123, bitIndex2))),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 39.76/26.26 tff(16133,plain,
% 39.76/26.26 (~v130(constB123, bitIndex2)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16132, 685, 16055])).
% 39.76/26.26 tff(16134,plain,
% 39.76/26.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16135,plain,
% 39.76/26.26 ((v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2))) <=> ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16136,plain,
% 39.76/26.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)))),
% 39.76/26.26 inference(monotonicity,[status(thm)],[16135])).
% 39.76/26.26 tff(16137,plain,
% 39.76/26.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 39.76/26.26 inference(transitivity,[status(thm)],[16136, 16134])).
% 39.76/26.26 tff(16138,plain,
% 39.76/26.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16139,plain,
% 39.76/26.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16138, 16137])).
% 39.76/26.26 tff(16140,plain,
% 39.76/26.26 ((~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16139, 435, 16083])).
% 39.76/26.26 tff(16141,plain,
% 39.76/26.26 (~v127(constB123, bitIndex2)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16140, 16133])).
% 39.76/26.26 tff(16142,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16143,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16144,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16143, 16142])).
% 39.76/26.26 tff(16145,plain,
% 39.76/26.26 (v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16144, 453, 16095])).
% 39.76/26.26 tff(16146,plain,
% 39.76/26.26 (~v129(constB124, bitIndex2)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16145, 16141])).
% 39.76/26.26 tff(16147,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16148,plain,
% 39.76/26.26 (((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2)) <=> ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16149,plain,
% 39.76/26.26 (((~![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))))),
% 39.76/26.26 inference(monotonicity,[status(thm)],[16148])).
% 39.76/26.26 tff(16150,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(transitivity,[status(thm)],[16149, 16147])).
% 39.76/26.26 tff(16151,plain,
% 39.76/26.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16152,plain,
% 39.76/26.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16151, 16150])).
% 39.76/26.26 tff(16153,plain,
% 39.76/26.26 ((~v90(constB124, bitIndex2)) | (~v100(constB124))),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16152, 468, 16146])).
% 39.76/26.26 tff(16154,plain,
% 39.76/26.26 (~v90(constB124, bitIndex2)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16153, 16129])).
% 39.76/26.26 tff(16155,plain,
% 39.76/26.26 ((~v1(constB125)) <=> (~v1(constB125))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16156,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 39.76/26.26 tff(16157,plain,
% 39.76/26.26 (~v1(constB125)),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16156, 16155])).
% 39.76/26.26 tff(16158,plain,
% 39.76/26.26 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16159,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 39.76/26.26 tff(16160,plain,
% 39.76/26.26 (nextState(constB124, constB125)),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16159, 16158])).
% 39.76/26.26 tff(16161,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16162,plain,
% 39.76/26.26 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16163,plain,
% 39.76/26.26 (((~![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))))),
% 39.76/26.26 inference(monotonicity,[status(thm)],[16162])).
% 39.76/26.26 tff(16164,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(transitivity,[status(thm)],[16163, 16161])).
% 39.76/26.26 tff(16165,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16166,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16165, 16164])).
% 39.76/26.26 tff(16167,plain,
% 39.76/26.26 (~v101(constB125)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16166, 133, 16160, 16157])).
% 39.76/26.26 tff(16168,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16169,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16170,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16169, 16168])).
% 39.76/26.26 tff(16171,plain,
% 39.76/26.26 (v101(constB125) | (~v100(constB125))),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16170, 150, 16160])).
% 39.76/26.26 tff(16172,plain,
% 39.76/26.26 (~v100(constB125)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16171, 16167])).
% 39.76/26.26 tff(16173,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16174,plain,
% 39.76/26.26 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16175,plain,
% 39.76/26.26 (((~![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))))),
% 39.76/26.26 inference(monotonicity,[status(thm)],[16174])).
% 39.76/26.26 tff(16176,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(transitivity,[status(thm)],[16175, 16173])).
% 39.76/26.26 tff(16177,plain,
% 39.76/26.26 ((~![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)))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16178,plain,
% 39.76/26.26 ((~![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))),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16177, 16176])).
% 39.76/26.26 tff(16179,plain,
% 39.76/26.26 (v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16178, 165, 16160])).
% 39.76/26.26 tff(16180,plain,
% 39.76/26.26 (v90(constB124, bitIndex2) | (~v90(constB125, bitIndex2))),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16179, 16172])).
% 39.76/26.26 tff(16181,plain,
% 39.76/26.26 (~v90(constB125, bitIndex2)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16180, 16154])).
% 39.76/26.26 tff(16182,plain,
% 39.76/26.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16183,plain,
% 39.76/26.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16184,plain,
% 39.76/26.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1)),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16183, 16182])).
% 39.76/26.26 tff(16185,plain,
% 39.76/26.26 (v130(constB123, bitIndex1)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16184, 868, 16055])).
% 39.76/26.26 tff(16186,plain,
% 39.76/26.26 (((~![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))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16187,plain,
% 39.76/26.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16188,plain,
% 39.76/26.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16187, 16186])).
% 39.76/26.26 tff(16189,plain,
% 39.76/26.26 ((~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16188, 882, 16083])).
% 39.76/26.26 tff(16190,plain,
% 39.76/26.26 (v127(constB123, bitIndex1)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16189, 16185])).
% 39.76/26.26 tff(16191,plain,
% 39.76/26.26 (((~![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))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16192,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16193,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16192, 16191])).
% 39.76/26.26 tff(16194,plain,
% 39.76/26.26 ((~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16193, 897, 16095])).
% 39.76/26.26 tff(16195,plain,
% 39.76/26.26 (v129(constB124, bitIndex1)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16194, 16190])).
% 39.76/26.26 tff(16196,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16197,plain,
% 39.76/26.26 ((v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16198,plain,
% 39.76/26.26 (((~![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))))),
% 39.76/26.26 inference(monotonicity,[status(thm)],[16197])).
% 39.76/26.26 tff(16199,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(transitivity,[status(thm)],[16198, 16196])).
% 39.76/26.26 tff(16200,plain,
% 39.76/26.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16201,plain,
% 39.76/26.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16200, 16199])).
% 39.76/26.26 tff(16202,plain,
% 39.76/26.26 (v90(constB124, bitIndex1) | (~v100(constB124))),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16201, 912, 16195])).
% 39.76/26.26 tff(16203,plain,
% 39.76/26.26 (v90(constB124, bitIndex1)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16202, 16129])).
% 39.76/26.26 tff(16204,plain,
% 39.76/26.26 (((~![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))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16205,plain,
% 39.76/26.26 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16206,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(monotonicity,[status(thm)],[16205])).
% 39.76/26.26 tff(16207,plain,
% 39.76/26.26 (((~![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))),
% 39.76/26.26 inference(transitivity,[status(thm)],[16206, 16204])).
% 39.76/26.26 tff(16208,plain,
% 39.76/26.26 ((~![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))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16209,plain,
% 39.76/26.26 ((~![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)),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16208, 16207])).
% 39.76/26.26 tff(16210,plain,
% 39.76/26.26 ((~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16209, 1049, 16160])).
% 39.76/26.26 tff(16211,plain,
% 39.76/26.26 ((~v90(constB124, bitIndex1)) | v90(constB125, bitIndex1)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16210, 16172])).
% 39.76/26.26 tff(16212,plain,
% 39.76/26.26 (v90(constB125, bitIndex1)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16211, 16203])).
% 39.76/26.26 tff(16213,plain,
% 39.76/26.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16214,plain,
% 39.76/26.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16215,plain,
% 39.76/26.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0))),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16214, 16213])).
% 39.76/26.26 tff(16216,plain,
% 39.76/26.26 (~v130(constB123, bitIndex0)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16215, 930, 16055])).
% 39.76/26.26 tff(16217,plain,
% 39.76/26.26 (((~![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))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16218,plain,
% 39.76/26.26 ((v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0))) <=> ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16219,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(monotonicity,[status(thm)],[16218])).
% 39.76/26.26 tff(16220,plain,
% 39.76/26.26 (((~![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))),
% 39.76/26.26 inference(transitivity,[status(thm)],[16219, 16217])).
% 39.76/26.26 tff(16221,plain,
% 39.76/26.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16222,plain,
% 39.76/26.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16221, 16220])).
% 39.76/26.26 tff(16223,plain,
% 39.76/26.26 ((~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16222, 944, 16083])).
% 39.76/26.26 tff(16224,plain,
% 39.76/26.26 (~v127(constB123, bitIndex0)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16223, 16216])).
% 39.76/26.26 tff(16225,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16226,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 39.76/26.26 inference(quant_inst,[status(thm)],[])).
% 39.76/26.26 tff(16227,plain,
% 39.76/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 39.76/26.26 inference(modus_ponens,[status(thm)],[16226, 16225])).
% 39.76/26.26 tff(16228,plain,
% 39.76/26.26 (v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16227, 962, 16095])).
% 39.76/26.26 tff(16229,plain,
% 39.76/26.26 (~v129(constB124, bitIndex0)),
% 39.76/26.26 inference(unit_resolution,[status(thm)],[16228, 16224])).
% 39.76/26.26 tff(16230,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16231,plain,
% 39.76/26.26 (((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 39.76/26.26 inference(rewrite,[status(thm)],[])).
% 39.76/26.26 tff(16232,plain,
% 39.76/26.26 (((~![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))))),
% 39.76/26.26 inference(monotonicity,[status(thm)],[16231])).
% 39.76/26.26 tff(16233,plain,
% 39.76/26.26 (((~![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)))),
% 39.76/26.27 inference(transitivity,[status(thm)],[16232, 16230])).
% 39.76/26.27 tff(16234,plain,
% 39.76/26.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16235,plain,
% 39.76/26.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16234, 16233])).
% 39.76/26.27 tff(16236,plain,
% 39.76/26.27 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16235, 977, 16229])).
% 39.76/26.27 tff(16237,plain,
% 39.76/26.27 (~v90(constB124, bitIndex0)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16236, 16129])).
% 39.76/26.27 tff(16238,plain,
% 39.76/26.27 (((~![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)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16239,plain,
% 39.76/26.27 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16240,plain,
% 39.76/26.27 (((~![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))))),
% 39.76/26.27 inference(monotonicity,[status(thm)],[16239])).
% 39.76/26.27 tff(16241,plain,
% 39.76/26.27 (((~![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)))),
% 39.76/26.27 inference(transitivity,[status(thm)],[16240, 16238])).
% 39.76/26.27 tff(16242,plain,
% 39.76/26.27 ((~![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)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16243,plain,
% 39.76/26.27 ((~![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))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16242, 16241])).
% 39.76/26.27 tff(16244,plain,
% 39.76/26.27 (v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16243, 207, 16160])).
% 39.76/26.27 tff(16245,plain,
% 39.76/26.27 (v90(constB124, bitIndex0) | (~v90(constB125, bitIndex0))),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16244, 16172])).
% 39.76/26.27 tff(16246,plain,
% 39.76/26.27 (~v90(constB125, bitIndex0)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16245, 16237])).
% 39.76/26.27 tff(16247,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16248,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16249,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16248, 16247])).
% 39.76/26.27 tff(16250,plain,
% 39.76/26.27 (v121(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16249, 996, 16246, 16212, 16181])).
% 39.76/26.27 tff(16251,plain,
% 39.76/26.27 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB125)) | v130(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB125)) | v130(constB125, bitIndex1))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16252,plain,
% 39.76/26.27 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB125)) | v130(constB125, bitIndex1))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16253,plain,
% 39.76/26.27 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB125)) | v130(constB125, bitIndex1)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16252, 16251])).
% 39.76/26.27 tff(16254,plain,
% 39.76/26.27 (v130(constB125, bitIndex1)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16253, 1717, 16250])).
% 39.76/26.27 tff(16255,assumption,(v26(constB125)), introduced(assumption)).
% 39.76/26.27 tff(16256,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16257,plain,
% 39.76/26.27 ($false),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16256, 86, 16255])).
% 39.76/26.27 tff(16258,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.27 tff(16259,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16260,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16261,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16260, 16259])).
% 39.76/26.27 tff(16262,plain,
% 39.76/26.27 ((~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16261, 882, 16258])).
% 39.76/26.27 tff(16263,plain,
% 39.76/26.27 (v127(constB125, bitIndex1)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16262, 16254])).
% 39.76/26.27 tff(16264,plain,
% 39.76/26.27 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16265,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 39.76/26.27 tff(16266,plain,
% 39.76/26.27 (nextState(constB125, constB126)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16265, 16264])).
% 39.76/26.27 tff(16267,plain,
% 39.76/26.27 (((~![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))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16268,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16269,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16268, 16267])).
% 39.76/26.27 tff(16270,plain,
% 39.76/26.27 ((~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16269, 897, 16266])).
% 39.76/26.27 tff(16271,plain,
% 39.76/26.27 (v129(constB126, bitIndex1)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16270, 16263])).
% 39.76/26.27 tff(16272,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB124, bitIndex0) | (~v122(constB124)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB124, bitIndex0) | (~v122(constB124)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16273,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB124, bitIndex0) | (~v122(constB124)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16274,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB124, bitIndex0) | (~v122(constB124))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16273, 16272])).
% 39.76/26.27 tff(16275,plain,
% 39.76/26.27 (~v122(constB124)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16274, 1968, 16237])).
% 39.76/26.27 tff(16276,assumption,(~v100(constB126)), introduced(assumption)).
% 39.76/26.27 tff(16277,plain,
% 39.76/26.27 (((~![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)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16278,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16279,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16278, 16277])).
% 39.76/26.27 tff(16280,plain,
% 39.76/26.27 (~v104(constB126)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16279, 355, 16266, 16157])).
% 39.76/26.27 tff(16281,plain,
% 39.76/26.27 (((~![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))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16282,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16283,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16282, 16281])).
% 39.76/26.27 tff(16284,plain,
% 39.76/26.27 (v102(constB126) | v104(constB126)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16283, 369, 16266])).
% 39.76/26.27 tff(16285,plain,
% 39.76/26.27 (v102(constB126)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16284, 16280])).
% 39.76/26.27 tff(16286,plain,
% 39.76/26.27 (v1(constB126) <=> v1(constB126)),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16287,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 39.76/26.27 tff(16288,plain,
% 39.76/26.27 (v1(constB126)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16287, 16286])).
% 39.76/26.27 tff(16289,plain,
% 39.76/26.27 (((~![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)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16290,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16291,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16290, 16289])).
% 39.76/26.27 tff(16292,plain,
% 39.76/26.27 (v101(constB126) | (~v102(constB126))),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16291, 387, 16266, 16288])).
% 39.76/26.27 tff(16293,plain,
% 39.76/26.27 (v101(constB126)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16292, 16285])).
% 39.76/26.27 tff(16294,plain,
% 39.76/26.27 (((~![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)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16295,plain,
% 39.76/26.27 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16296,plain,
% 39.76/26.27 (((~![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))))),
% 39.76/26.27 inference(monotonicity,[status(thm)],[16295])).
% 39.76/26.27 tff(16297,plain,
% 39.76/26.27 (((~![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)))),
% 39.76/26.27 inference(transitivity,[status(thm)],[16296, 16294])).
% 39.76/26.27 tff(16298,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16299,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16298, 16297])).
% 39.76/26.27 tff(16300,plain,
% 39.76/26.27 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16299, 402, 16266])).
% 39.76/26.27 tff(16301,plain,
% 39.76/26.27 (v100(constB126) | (~v110(constB126))),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16300, 16293])).
% 39.76/26.27 tff(16302,plain,
% 39.76/26.27 (~v110(constB126)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16301, 16276])).
% 39.76/26.27 tff(16303,plain,
% 39.76/26.27 (((~![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)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16304,plain,
% 39.76/26.27 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16305,plain,
% 39.76/26.27 (((~![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))))),
% 39.76/26.27 inference(monotonicity,[status(thm)],[16304])).
% 39.76/26.27 tff(16306,plain,
% 39.76/26.27 (((~![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)))),
% 39.76/26.27 inference(transitivity,[status(thm)],[16305, 16303])).
% 39.76/26.27 tff(16307,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16308,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16307, 16306])).
% 39.76/26.27 tff(16309,plain,
% 39.76/26.27 (v110(constB126) | (~v108(constB125))),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16308, 337, 16266])).
% 39.76/26.27 tff(16310,plain,
% 39.76/26.27 (~v108(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16309, 16302])).
% 39.76/26.27 tff(16311,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16312,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16313,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16312, 16311])).
% 39.76/26.27 tff(16314,plain,
% 39.76/26.27 (~v112(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16313, 320, 16310])).
% 39.76/26.27 tff(16315,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB125) | (~v26(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB125) | (~v26(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16316,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB125) | (~v26(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16317,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB125) | (~v26(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16316, 16315])).
% 39.76/26.27 tff(16318,plain,
% 39.76/26.27 (~v26(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16317, 766, 16310])).
% 39.76/26.27 tff(16319,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16320,plain,
% 39.76/26.27 ((v26(constB125) | (~v113(constB125)) | v112(constB125)) <=> (v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16321,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125))))),
% 39.76/26.27 inference(monotonicity,[status(thm)],[16320])).
% 39.76/26.27 tff(16322,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 39.76/26.27 inference(transitivity,[status(thm)],[16321, 16319])).
% 39.76/26.27 tff(16323,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16324,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16323, 16322])).
% 39.76/26.27 tff(16325,plain,
% 39.76/26.27 (~v113(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16324, 308, 16318, 16314])).
% 39.76/26.27 tff(16326,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB125) | (~v114(constB125)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB125) | (~v114(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16327,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB125) | (~v114(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16328,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB125) | (~v114(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16327, 16326])).
% 39.76/26.27 tff(16329,plain,
% 39.76/26.27 (~v114(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16328, 294, 16325])).
% 39.76/26.27 tff(16330,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB125) | (~v115(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16331,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB125) | (~v115(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16332,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB125) | (~v115(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16331, 16330])).
% 39.76/26.27 tff(16333,plain,
% 39.76/26.27 (~v115(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16332, 283, 16329])).
% 39.76/26.27 tff(16334,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB125) | (~v123(constB125)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB125) | (~v123(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16335,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB125) | (~v123(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16336,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB125) | (~v123(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16335, 16334])).
% 39.76/26.27 tff(16337,plain,
% 39.76/26.27 (~v123(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16336, 1247, 16333])).
% 39.76/26.27 tff(16338,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB125) | (~v116(constB125)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB125) | (~v116(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16339,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB125) | (~v116(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16340,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB125) | (~v116(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16339, 16338])).
% 39.76/26.27 tff(16341,plain,
% 39.76/26.27 (~v116(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16340, 272, 16333])).
% 39.76/26.27 tff(16342,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB125) | (~v117(constB125)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB125) | (~v117(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16343,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB125) | (~v117(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16344,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB125) | (~v117(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16343, 16342])).
% 39.76/26.27 tff(16345,plain,
% 39.76/26.27 (~v117(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16344, 261, 16341])).
% 39.76/26.27 tff(16346,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB125) | (~v118(constB125)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB125) | (~v118(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16347,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB125) | (~v118(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16348,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB125) | (~v118(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16347, 16346])).
% 39.76/26.27 tff(16349,plain,
% 39.76/26.27 (~v118(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16348, 250, 16345])).
% 39.76/26.27 tff(16350,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB125) | (~v119(constB125)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB125) | (~v119(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16351,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB125) | (~v119(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16352,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB125) | (~v119(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16351, 16350])).
% 39.76/26.27 tff(16353,plain,
% 39.76/26.27 (~v119(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16352, 239, 16349])).
% 39.76/26.27 tff(16354,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB125) | (~v125(constB125)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB125) | (~v125(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16355,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB125) | (~v125(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16356,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB125) | (~v125(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16355, 16354])).
% 39.76/26.27 tff(16357,plain,
% 39.76/26.27 (~v125(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16356, 1294, 16325])).
% 39.76/26.27 tff(16358,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB125) | (~v121(constB125)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB125) | (~v121(constB125)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16359,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB125) | (~v121(constB125)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16360,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB125) | (~v121(constB125))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16359, 16358])).
% 39.76/26.27 tff(16361,plain,
% 39.76/26.27 (~v121(constB125)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16360, 1130, 16345])).
% 39.76/26.27 tff(16362,assumption,(~v90(constB125, bitIndex0)), introduced(assumption)).
% 39.76/26.27 tff(16363,assumption,(~v123(constB125)), introduced(assumption)).
% 39.76/26.27 tff(16364,assumption,(~v119(constB125)), introduced(assumption)).
% 39.76/26.27 tff(16365,assumption,(~v90(constB125, bitIndex1)), introduced(assumption)).
% 39.76/26.27 tff(16366,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v123(constB125))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v123(constB125))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16367,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v123(constB125))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16368,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v123(constB125)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16367, 16366])).
% 39.76/26.27 tff(16369,plain,
% 39.76/26.27 (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2))),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16368, 1280, 16363])).
% 39.76/26.27 tff(16370,plain,
% 39.76/26.27 (~v90(constB125, bitIndex2)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16369, 16365, 16362])).
% 39.76/26.27 tff(16371,plain,
% 39.76/26.27 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB125) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB125) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16372,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB125) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16373,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB125) | v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16372, 16371])).
% 39.76/26.27 tff(16374,plain,
% 39.76/26.27 (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16373, 228, 16364])).
% 39.76/26.27 tff(16375,plain,
% 39.76/26.27 ($false),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16374, 16370, 16365, 16362])).
% 39.76/26.27 tff(16376,plain,(v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | v119(constB125) | v123(constB125)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.27 tff(16377,plain,
% 39.76/26.27 (v90(constB125, bitIndex1)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16376, 16362, 16364, 16363])).
% 39.76/26.27 tff(16378,assumption,(~v125(constB125)), introduced(assumption)).
% 39.76/26.27 tff(16379,plain,
% 39.76/26.27 (((~![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))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16380,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16381,plain,
% 39.76/26.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16380, 16379])).
% 39.76/26.27 tff(16382,plain,
% 39.76/26.27 (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2))),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16381, 1308, 16378])).
% 39.76/26.27 tff(16383,plain,
% 39.76/26.27 (~v90(constB125, bitIndex2)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16382, 16377, 16362])).
% 39.76/26.27 tff(16384,assumption,(~v121(constB125)), introduced(assumption)).
% 39.76/26.27 tff(16385,plain,
% 39.76/26.27 (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16249, 996, 16384])).
% 39.76/26.27 tff(16386,plain,
% 39.76/26.27 ($false),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16385, 16383, 16377, 16362])).
% 39.76/26.27 tff(16387,plain,(v90(constB125, bitIndex0) | v121(constB125) | v125(constB125) | v119(constB125) | v123(constB125)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.27 tff(16388,plain,
% 39.76/26.27 (v90(constB125, bitIndex0)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16387, 16361, 16357, 16353, 16337])).
% 39.76/26.27 tff(16389,plain,
% 39.76/26.27 (v90(constB124, bitIndex0)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16245, 16388])).
% 39.76/26.27 tff(16390,assumption,(~v129(constB124, bitIndex0)), introduced(assumption)).
% 39.76/26.27 tff(16391,plain,
% 39.76/26.27 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16235, 977, 16390])).
% 39.76/26.27 tff(16392,plain,
% 39.76/26.27 (~v100(constB124)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16391, 16389])).
% 39.76/26.27 tff(16393,plain,
% 39.76/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB125, bitIndex0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB125, bitIndex0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex0))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16394,plain,
% 39.76/26.27 (((~nextState(constB125, constB126)) | (~v90(constB125, bitIndex0)) | v100(constB126) | v90(constB126, bitIndex0)) <=> ((~v90(constB125, bitIndex0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex0))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16395,plain,
% 39.76/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v90(constB125, bitIndex0)) | v100(constB126) | v90(constB126, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB125, bitIndex0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex0)))),
% 39.76/26.27 inference(monotonicity,[status(thm)],[16394])).
% 39.76/26.27 tff(16396,plain,
% 39.76/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v90(constB125, bitIndex0)) | v100(constB126) | v90(constB126, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB125, bitIndex0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex0))),
% 39.76/26.27 inference(transitivity,[status(thm)],[16395, 16393])).
% 39.76/26.27 tff(16397,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v90(constB125, bitIndex0)) | v100(constB126) | v90(constB126, bitIndex0))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16398,plain,
% 39.76/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB125, bitIndex0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex0)),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16397, 16396])).
% 39.76/26.27 tff(16399,plain,
% 39.76/26.27 ((~v90(constB125, bitIndex0)) | v100(constB126) | v90(constB126, bitIndex0)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16398, 649, 16266])).
% 39.76/26.27 tff(16400,plain,
% 39.76/26.27 (v90(constB126, bitIndex0)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16399, 16388, 16276])).
% 39.76/26.27 tff(16401,plain,
% 39.76/26.27 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))))),
% 39.76/26.27 inference(bind,[status(th)],[])).
% 39.76/26.27 tff(16402,plain,
% 39.76/26.27 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 39.76/26.27 inference(quant_intro,[status(thm)],[16401])).
% 39.76/26.27 tff(16403,plain,
% 39.76/26.27 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16404,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 39.76/26.27 tff(16405,plain,
% 39.76/26.27 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16404, 16403])).
% 39.76/26.27 tff(16406,plain,(
% 39.76/26.27 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 39.76/26.27 inference(skolemize,[status(sab)],[16405])).
% 39.76/26.27 tff(16407,plain,
% 39.76/26.27 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16406, 16402])).
% 39.76/26.27 tff(16408,plain,
% 39.76/26.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB126, bitIndex0)) | (~v123(constB126)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB126, bitIndex0)) | (~v123(constB126)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16409,plain,
% 39.76/26.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB126, bitIndex0)) | (~v123(constB126)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16410,plain,
% 39.76/26.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB126, bitIndex0)) | (~v123(constB126))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16409, 16408])).
% 39.76/26.27 tff(16411,plain,
% 39.76/26.27 (~v123(constB126)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16410, 16407, 16400])).
% 39.76/26.27 tff(16412,plain,
% 39.76/26.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB126, bitIndex0)) | (~v119(constB126)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB126, bitIndex0)) | (~v119(constB126)))),
% 39.76/26.27 inference(rewrite,[status(thm)],[])).
% 39.76/26.27 tff(16413,plain,
% 39.76/26.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB126, bitIndex0)) | (~v119(constB126)))),
% 39.76/26.27 inference(quant_inst,[status(thm)],[])).
% 39.76/26.27 tff(16414,plain,
% 39.76/26.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB126, bitIndex0)) | (~v119(constB126))),
% 39.76/26.27 inference(modus_ponens,[status(thm)],[16413, 16412])).
% 39.76/26.27 tff(16415,plain,
% 39.76/26.27 (~v119(constB126)),
% 39.76/26.27 inference(unit_resolution,[status(thm)],[16414, 7128, 16400])).
% 39.76/26.27 tff(16416,assumption,(~v90(constB126, bitIndex1)), introduced(assumption)).
% 39.76/26.27 tff(16417,plain,
% 39.76/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB125, bitIndex1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB125, bitIndex1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex1))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16418,plain,
% 39.76/26.28 (((~nextState(constB125, constB126)) | (~v90(constB125, bitIndex1)) | v100(constB126) | v90(constB126, bitIndex1)) <=> ((~v90(constB125, bitIndex1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex1))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16419,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v90(constB125, bitIndex1)) | v100(constB126) | v90(constB126, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB125, bitIndex1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex1)))),
% 39.76/26.28 inference(monotonicity,[status(thm)],[16418])).
% 39.76/26.28 tff(16420,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v90(constB125, bitIndex1)) | v100(constB126) | v90(constB126, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB125, bitIndex1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex1))),
% 39.76/26.28 inference(transitivity,[status(thm)],[16419, 16417])).
% 39.76/26.28 tff(16421,plain,
% 39.76/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v90(constB125, bitIndex1)) | v100(constB126) | v90(constB126, bitIndex1))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16422,plain,
% 39.76/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB125, bitIndex1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, bitIndex1)),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16421, 16420])).
% 39.76/26.28 tff(16423,plain,
% 39.76/26.28 ((~v90(constB125, bitIndex1)) | v100(constB126) | v90(constB126, bitIndex1)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16422, 1049, 16266])).
% 39.76/26.28 tff(16424,plain,
% 39.76/26.28 (~v90(constB125, bitIndex1)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16423, 16416, 16276])).
% 39.76/26.28 tff(16425,assumption,(~v123(constB126)), introduced(assumption)).
% 39.76/26.28 tff(16426,assumption,(~v119(constB126)), introduced(assumption)).
% 39.76/26.28 tff(16427,assumption,(~v90(constB126, bitIndex0)), introduced(assumption)).
% 39.76/26.28 tff(16428,plain,
% 39.76/26.28 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | (~v90(constB126, bitIndex2)) | v123(constB126))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | (~v90(constB126, bitIndex2)) | v123(constB126))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16429,plain,
% 39.76/26.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | (~v90(constB126, bitIndex2)) | v123(constB126))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16430,plain,
% 39.76/26.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | (~v90(constB126, bitIndex2)) | v123(constB126)),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16429, 16428])).
% 39.76/26.28 tff(16431,plain,
% 39.76/26.28 (v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | (~v90(constB126, bitIndex2))),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16430, 1280, 16425])).
% 39.76/26.28 tff(16432,plain,
% 39.76/26.28 (~v90(constB126, bitIndex2)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16431, 16427, 16416])).
% 39.76/26.28 tff(16433,plain,
% 39.76/26.28 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB126) | v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | v90(constB126, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB126) | v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | v90(constB126, bitIndex2))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16434,plain,
% 39.76/26.28 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB126) | v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | v90(constB126, bitIndex2))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16435,plain,
% 39.76/26.28 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB126) | v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | v90(constB126, bitIndex2)),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16434, 16433])).
% 39.76/26.28 tff(16436,plain,
% 39.76/26.28 (v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | v90(constB126, bitIndex2)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16435, 228, 16426])).
% 39.76/26.28 tff(16437,plain,
% 39.76/26.28 ($false),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16436, 16432, 16427, 16416])).
% 39.76/26.28 tff(16438,plain,(v90(constB126, bitIndex0) | v90(constB126, bitIndex1) | v119(constB126) | v123(constB126)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.28 tff(16439,plain,
% 39.76/26.28 (v90(constB126, bitIndex0)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16438, 16416, 16426, 16425])).
% 39.76/26.28 tff(16440,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16441,plain,
% 39.76/26.28 (((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0))) <=> (v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16442,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0))))),
% 39.76/26.28 inference(monotonicity,[status(thm)],[16441])).
% 39.76/26.28 tff(16443,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 39.76/26.28 inference(transitivity,[status(thm)],[16442, 16440])).
% 39.76/26.28 tff(16444,plain,
% 39.76/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16445,plain,
% 39.76/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0))),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 39.76/26.28 tff(16446,plain,
% 39.76/26.28 (v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0))),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16445, 207, 16266])).
% 39.76/26.28 tff(16447,plain,
% 39.76/26.28 (v90(constB125, bitIndex0)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16446, 16439, 16276])).
% 39.76/26.28 tff(16448,plain,
% 39.76/26.28 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB125) | (~v124(constB125)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB125) | (~v124(constB125)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16449,plain,
% 39.76/26.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB125) | (~v124(constB125)))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16450,plain,
% 39.76/26.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB125) | (~v124(constB125))),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16449, 16448])).
% 39.76/26.28 tff(16451,plain,
% 39.76/26.28 (~v124(constB125)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16450, 1236, 16329])).
% 39.76/26.28 tff(16452,plain,
% 39.76/26.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v124(constB125))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v124(constB125))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16453,plain,
% 39.76/26.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v124(constB125))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16454,plain,
% 39.76/26.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | v124(constB125)),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16453, 16452])).
% 39.76/26.28 tff(16455,plain,
% 39.76/26.28 ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2))),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16454, 1264, 16451])).
% 39.76/26.28 tff(16456,plain,
% 39.76/26.28 (~v90(constB125, bitIndex2)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16455, 16447, 16424])).
% 39.76/26.28 tff(16457,plain,
% 39.76/26.28 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB125) | (~v120(constB125)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB125) | (~v120(constB125)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16458,plain,
% 39.76/26.28 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB125) | (~v120(constB125)))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16459,plain,
% 39.76/26.28 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB125) | (~v120(constB125))),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16458, 16457])).
% 39.76/26.28 tff(16460,plain,
% 39.76/26.28 (~v120(constB125)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16459, 778, 16349])).
% 39.76/26.28 tff(16461,plain,
% 39.76/26.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v120(constB125))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v120(constB125))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16462,plain,
% 39.76/26.28 (((~v90(constB125, bitIndex0)) | v120(constB125) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)) <=> ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v120(constB125))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16463,plain,
% 39.76/26.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex0)) | v120(constB125) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v120(constB125)))),
% 39.76/26.28 inference(monotonicity,[status(thm)],[16462])).
% 39.76/26.28 tff(16464,plain,
% 39.76/26.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex0)) | v120(constB125) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v120(constB125))),
% 39.76/26.28 inference(transitivity,[status(thm)],[16463, 16461])).
% 39.76/26.28 tff(16465,plain,
% 39.76/26.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex0)) | v120(constB125) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16466,plain,
% 39.76/26.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | v120(constB125)),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16465, 16464])).
% 39.76/26.28 tff(16467,plain,
% 39.76/26.28 ((~v90(constB125, bitIndex0)) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16466, 668, 16460])).
% 39.76/26.28 tff(16468,plain,
% 39.76/26.28 ($false),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16467, 16456, 16447, 16424])).
% 39.76/26.28 tff(16469,plain,(v90(constB126, bitIndex1) | v100(constB126) | v119(constB126) | v123(constB126)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.28 tff(16470,plain,
% 39.76/26.28 (v90(constB126, bitIndex1)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16469, 16415, 16411, 16276])).
% 39.76/26.28 tff(16471,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16472,plain,
% 39.76/26.28 (((~nextState(constB125, constB126)) | v90(constB125, bitIndex1) | v100(constB126) | (~v90(constB126, bitIndex1))) <=> (v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16473,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex1) | v100(constB126) | (~v90(constB126, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1))))),
% 39.76/26.28 inference(monotonicity,[status(thm)],[16472])).
% 39.76/26.28 tff(16474,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex1) | v100(constB126) | (~v90(constB126, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1)))),
% 39.76/26.28 inference(transitivity,[status(thm)],[16473, 16471])).
% 39.76/26.28 tff(16475,plain,
% 39.76/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex1) | v100(constB126) | (~v90(constB126, bitIndex1)))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16476,plain,
% 39.76/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1))),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16475, 16474])).
% 39.76/26.28 tff(16477,plain,
% 39.76/26.28 (v90(constB125, bitIndex1) | v100(constB126) | (~v90(constB126, bitIndex1))),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16476, 186, 16266])).
% 39.76/26.28 tff(16478,plain,
% 39.76/26.28 (v90(constB125, bitIndex1)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16477, 16470, 16276])).
% 39.76/26.28 tff(16479,plain,
% 39.76/26.28 (((~![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)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16480,plain,
% 39.76/26.28 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16481,plain,
% 39.76/26.28 (((~![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))))),
% 39.76/26.28 inference(monotonicity,[status(thm)],[16480])).
% 39.76/26.28 tff(16482,plain,
% 39.76/26.28 (((~![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)))),
% 39.76/26.28 inference(transitivity,[status(thm)],[16481, 16479])).
% 39.76/26.28 tff(16483,plain,
% 39.76/26.28 ((~![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)))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16484,plain,
% 39.76/26.28 ((~![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))),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16483, 16482])).
% 39.76/26.28 tff(16485,plain,
% 39.76/26.28 (v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1))),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16484, 186, 16160])).
% 39.76/26.28 tff(16486,plain,
% 39.76/26.28 (v90(constB124, bitIndex1) | (~v90(constB125, bitIndex1))),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16485, 16172])).
% 39.76/26.28 tff(16487,plain,
% 39.76/26.28 (v90(constB124, bitIndex1)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16486, 16478])).
% 39.76/26.28 tff(16488,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16489,plain,
% 39.76/26.28 (((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1))) <=> (v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16490,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1))))),
% 39.76/26.28 inference(monotonicity,[status(thm)],[16489])).
% 39.76/26.28 tff(16491,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 39.76/26.28 inference(transitivity,[status(thm)],[16490, 16488])).
% 39.76/26.28 tff(16492,plain,
% 39.76/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16493,plain,
% 39.76/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1))),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16492, 16491])).
% 39.76/26.28 tff(16494,plain,
% 39.76/26.28 (v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1))),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16493, 186, 16095])).
% 39.76/26.28 tff(16495,plain,
% 39.76/26.28 (v90(constB123, bitIndex1)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16494, 16487, 16392])).
% 39.76/26.28 tff(16496,plain,
% 39.76/26.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB123, bitIndex1)) | (~v120(constB123)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB123, bitIndex1)) | (~v120(constB123)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16497,plain,
% 39.76/26.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB123, bitIndex1)) | (~v120(constB123)))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16498,plain,
% 39.76/26.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB123, bitIndex1)) | (~v120(constB123))),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16497, 16496])).
% 39.76/26.28 tff(16499,plain,
% 39.76/26.28 (~v120(constB123)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16498, 2615, 16495])).
% 39.76/26.28 tff(16500,plain,
% 39.76/26.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB123, bitIndex1)) | (~v124(constB123)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB123, bitIndex1)) | (~v124(constB123)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16501,plain,
% 39.76/26.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB123, bitIndex1)) | (~v124(constB123)))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16502,plain,
% 39.76/26.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB123, bitIndex1)) | (~v124(constB123))),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16501, 16500])).
% 39.76/26.28 tff(16503,plain,
% 39.76/26.28 (~v124(constB123)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16502, 2637, 16495])).
% 39.76/26.28 tff(16504,assumption,(~v122(constB124)), introduced(assumption)).
% 39.76/26.28 tff(16505,plain,
% 39.76/26.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB124, bitIndex0)) | (~v90(constB124, bitIndex1)) | v90(constB124, bitIndex2) | v122(constB124))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB124, bitIndex0)) | (~v90(constB124, bitIndex1)) | v90(constB124, bitIndex2) | v122(constB124))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16506,plain,
% 39.76/26.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB124, bitIndex0)) | (~v90(constB124, bitIndex1)) | v90(constB124, bitIndex2) | v122(constB124))),
% 39.76/26.28 inference(quant_inst,[status(thm)],[])).
% 39.76/26.28 tff(16507,plain,
% 39.76/26.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB124, bitIndex0)) | (~v90(constB124, bitIndex1)) | v90(constB124, bitIndex2) | v122(constB124)),
% 39.76/26.28 inference(modus_ponens,[status(thm)],[16506, 16505])).
% 39.76/26.28 tff(16508,plain,
% 39.76/26.28 ((~v90(constB124, bitIndex0)) | (~v90(constB124, bitIndex1)) | v90(constB124, bitIndex2)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16507, 1184, 16504])).
% 39.76/26.28 tff(16509,plain,
% 39.76/26.28 (v90(constB124, bitIndex2)),
% 39.76/26.28 inference(unit_resolution,[status(thm)],[16508, 16487, 16389])).
% 39.76/26.28 tff(16510,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16511,plain,
% 39.76/26.28 (((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2))) <=> (v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 39.76/26.28 inference(rewrite,[status(thm)],[])).
% 39.76/26.28 tff(16512,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2))))),
% 39.76/26.28 inference(monotonicity,[status(thm)],[16511])).
% 39.76/26.28 tff(16513,plain,
% 39.76/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 39.76/26.29 inference(transitivity,[status(thm)],[16512, 16510])).
% 39.76/26.29 tff(16514,plain,
% 39.76/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16515,plain,
% 39.76/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16514, 16513])).
% 39.76/26.29 tff(16516,plain,
% 39.76/26.29 (v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2))),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16515, 165, 16095])).
% 39.76/26.29 tff(16517,plain,
% 39.76/26.29 (v90(constB123, bitIndex2)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16516, 16509, 16392])).
% 39.76/26.29 tff(16518,plain,
% 39.76/26.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB123, bitIndex2)) | (~v122(constB123)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB123, bitIndex2)) | (~v122(constB123)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16519,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB123, bitIndex2)) | (~v122(constB123)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16520,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB123, bitIndex2)) | (~v122(constB123))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16519, 16518])).
% 39.76/26.29 tff(16521,plain,
% 39.76/26.29 (~v122(constB123)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16520, 3526, 16517])).
% 39.76/26.29 tff(16522,plain,
% 39.76/26.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16523,plain,
% 39.76/26.29 (((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0))) <=> (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16524,plain,
% 39.76/26.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0))))),
% 39.76/26.29 inference(monotonicity,[status(thm)],[16523])).
% 39.76/26.29 tff(16525,plain,
% 39.76/26.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 39.76/26.29 inference(transitivity,[status(thm)],[16524, 16522])).
% 39.76/26.29 tff(16526,plain,
% 39.76/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16527,plain,
% 39.76/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16526, 16525])).
% 39.76/26.29 tff(16528,plain,
% 39.76/26.29 (v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0))),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16527, 207, 16095])).
% 39.76/26.29 tff(16529,plain,
% 39.76/26.29 (v90(constB123, bitIndex0)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16528, 16392, 16389])).
% 39.76/26.29 tff(16530,plain,
% 39.76/26.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB123, bitIndex0)) | (~v119(constB123)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB123, bitIndex0)) | (~v119(constB123)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16531,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB123, bitIndex0)) | (~v119(constB123)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16532,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB123, bitIndex0)) | (~v119(constB123))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 39.76/26.29 tff(16533,plain,
% 39.76/26.29 (~v119(constB123)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16532, 7128, 16529])).
% 39.76/26.29 tff(16534,plain,
% 39.76/26.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB123, bitIndex0)) | (~v121(constB123)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB123, bitIndex0)) | (~v121(constB123)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16535,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB123, bitIndex0)) | (~v121(constB123)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16536,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB123, bitIndex0)) | (~v121(constB123))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16535, 16534])).
% 39.76/26.29 tff(16537,plain,
% 39.76/26.29 (~v121(constB123)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16536, 755, 16529])).
% 39.76/26.29 tff(16538,plain,
% 39.76/26.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB123, bitIndex0)) | (~v123(constB123)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB123, bitIndex0)) | (~v123(constB123)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16539,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB123, bitIndex0)) | (~v123(constB123)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16540,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB123, bitIndex0)) | (~v123(constB123))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16539, 16538])).
% 39.76/26.29 tff(16541,plain,
% 39.76/26.29 (~v123(constB123)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16540, 16407, 16529])).
% 39.76/26.29 tff(16542,plain,
% 39.76/26.29 (~v110(constB124)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16128, 16392])).
% 39.76/26.29 tff(16543,plain,
% 39.76/26.29 (~v108(constB123)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16102, 16542])).
% 39.76/26.29 tff(16544,plain,
% 39.76/26.29 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB123) | (~v26(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB123) | (~v26(constB123)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16545,plain,
% 39.76/26.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB123) | (~v26(constB123)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16546,plain,
% 39.76/26.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB123) | (~v26(constB123))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16545, 16544])).
% 39.76/26.29 tff(16547,plain,
% 39.76/26.29 (~v26(constB123)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16546, 766, 16543])).
% 39.76/26.29 tff(16548,plain,
% 39.76/26.29 (((~![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))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16549,plain,
% 39.76/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16550,plain,
% 39.76/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0)),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 39.76/26.29 tff(16551,plain,
% 39.76/26.29 ((~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16550, 616, 16095])).
% 39.76/26.29 tff(16552,plain,
% 39.76/26.29 (~v127(constB123, bitIndex0)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16551, 16390])).
% 39.76/26.29 tff(16553,plain,
% 39.76/26.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16554,plain,
% 39.76/26.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16555,plain,
% 39.76/26.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0)),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16554, 16553])).
% 39.76/26.29 tff(16556,plain,
% 39.76/26.29 (v26(constB123) | (~v130(constB123, bitIndex0))),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16555, 601, 16552])).
% 39.76/26.29 tff(16557,plain,
% 39.76/26.29 (~v130(constB123, bitIndex0)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16556, 16547])).
% 39.76/26.29 tff(16558,plain,
% 39.76/26.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB123, bitIndex0) | v124(constB123) | v123(constB123) | v122(constB123) | v120(constB123) | v119(constB123) | v121(constB123))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB123, bitIndex0) | v124(constB123) | v123(constB123) | v122(constB123) | v120(constB123) | v119(constB123) | v121(constB123))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16559,plain,
% 39.76/26.29 ((v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0)) <=> (v130(constB123, bitIndex0) | v124(constB123) | v123(constB123) | v122(constB123) | v120(constB123) | v119(constB123) | v121(constB123))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16560,plain,
% 39.76/26.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB123, bitIndex0) | v124(constB123) | v123(constB123) | v122(constB123) | v120(constB123) | v119(constB123) | v121(constB123)))),
% 39.76/26.29 inference(monotonicity,[status(thm)],[16559])).
% 39.76/26.29 tff(16561,plain,
% 39.76/26.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB123, bitIndex0) | v124(constB123) | v123(constB123) | v122(constB123) | v120(constB123) | v119(constB123) | v121(constB123))),
% 39.76/26.29 inference(transitivity,[status(thm)],[16560, 16558])).
% 39.76/26.29 tff(16562,plain,
% 39.76/26.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16563,plain,
% 39.76/26.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB123, bitIndex0) | v124(constB123) | v123(constB123) | v122(constB123) | v120(constB123) | v119(constB123) | v121(constB123)),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16562, 16561])).
% 39.76/26.29 tff(16564,plain,
% 39.76/26.29 (v124(constB123) | v122(constB123) | v120(constB123)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16563, 2753, 16557, 16541, 16537, 16533])).
% 39.76/26.29 tff(16565,plain,
% 39.76/26.29 ($false),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16564, 16521, 16503, 16499])).
% 39.76/26.29 tff(16566,plain,(v100(constB126) | v122(constB124) | v129(constB124, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.29 tff(16567,plain,
% 39.76/26.29 (v100(constB126)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16566, 16275, 16229])).
% 39.76/26.29 tff(16568,plain,
% 39.76/26.29 (((~![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)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16569,plain,
% 39.76/26.29 ((v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1))) <=> (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16570,plain,
% 39.76/26.29 (((~![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))))),
% 39.76/26.29 inference(monotonicity,[status(thm)],[16569])).
% 39.76/26.29 tff(16571,plain,
% 39.76/26.29 (((~![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)))),
% 39.76/26.29 inference(transitivity,[status(thm)],[16570, 16568])).
% 39.76/26.29 tff(16572,plain,
% 39.76/26.29 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16573,plain,
% 39.76/26.29 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16572, 16571])).
% 39.76/26.29 tff(16574,plain,
% 39.76/26.29 (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1))),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16573, 912, 16567])).
% 39.76/26.29 tff(16575,plain,
% 39.76/26.29 (v90(constB126, bitIndex1)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16574, 16271])).
% 39.76/26.29 tff(16576,plain,
% 39.76/26.29 ((~v1(constB127)) <=> (~v1(constB127))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16577,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 39.76/26.29 tff(16578,plain,
% 39.76/26.29 (~v1(constB127)),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16577, 16576])).
% 39.76/26.29 tff(16579,plain,
% 39.76/26.29 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16580,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 39.76/26.29 tff(16581,plain,
% 39.76/26.29 (nextState(constB126, constB127)),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 39.76/26.29 tff(16582,plain,
% 39.76/26.29 (((~![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)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16583,plain,
% 39.76/26.29 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16584,plain,
% 39.76/26.29 (((~![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))))),
% 39.76/26.29 inference(monotonicity,[status(thm)],[16583])).
% 39.76/26.29 tff(16585,plain,
% 39.76/26.29 (((~![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)))),
% 39.76/26.29 inference(transitivity,[status(thm)],[16584, 16582])).
% 39.76/26.29 tff(16586,plain,
% 39.76/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16587,plain,
% 39.76/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16586, 16585])).
% 39.76/26.29 tff(16588,plain,
% 39.76/26.29 (~v101(constB127)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16587, 133, 16581, 16578])).
% 39.76/26.29 tff(16589,plain,
% 39.76/26.29 (((~![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)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16590,plain,
% 39.76/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16591,plain,
% 39.76/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16590, 16589])).
% 39.76/26.29 tff(16592,plain,
% 39.76/26.29 (v101(constB127) | (~v100(constB127))),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16591, 150, 16581])).
% 39.76/26.29 tff(16593,plain,
% 39.76/26.29 (~v100(constB127)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16592, 16588])).
% 39.76/26.29 tff(16594,plain,
% 39.76/26.29 (((~![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))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16595,plain,
% 39.76/26.29 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1)) <=> ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16596,plain,
% 39.76/26.29 (((~![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)))),
% 39.76/26.29 inference(monotonicity,[status(thm)],[16595])).
% 39.76/26.29 tff(16597,plain,
% 39.76/26.29 (((~![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))),
% 39.76/26.29 inference(transitivity,[status(thm)],[16596, 16594])).
% 39.76/26.29 tff(16598,plain,
% 39.76/26.29 ((~![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))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16599,plain,
% 39.76/26.29 ((~![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)),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16598, 16597])).
% 39.76/26.29 tff(16600,plain,
% 39.76/26.29 ((~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16599, 1049, 16581])).
% 39.76/26.29 tff(16601,plain,
% 39.76/26.29 ((~v90(constB126, bitIndex1)) | v90(constB127, bitIndex1)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16600, 16593])).
% 39.76/26.29 tff(16602,plain,
% 39.76/26.29 (v90(constB127, bitIndex1)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16601, 16575])).
% 39.76/26.29 tff(16603,assumption,(~v130(constB125, bitIndex0)), introduced(assumption)).
% 39.76/26.29 tff(16604,plain,
% 39.76/26.29 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB125)) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB125)) | v130(constB125, bitIndex0))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16605,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB125)) | v130(constB125, bitIndex0))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16606,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB125)) | v130(constB125, bitIndex0)),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16605, 16604])).
% 39.76/26.29 tff(16607,plain,
% 39.76/26.29 (~v119(constB125)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16606, 587, 16603])).
% 39.76/26.29 tff(16608,plain,
% 39.76/26.29 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB125)) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB125)) | v130(constB125, bitIndex0))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16609,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB125)) | v130(constB125, bitIndex0))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16610,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB125)) | v130(constB125, bitIndex0)),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16609, 16608])).
% 39.76/26.29 tff(16611,plain,
% 39.76/26.29 (~v123(constB125)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16610, 2258, 16603])).
% 39.76/26.29 tff(16612,plain,
% 39.76/26.29 (v90(constB125, bitIndex1)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16376, 16362, 16611, 16607])).
% 39.76/26.29 tff(16613,plain,
% 39.76/26.29 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB125)) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB125)) | v130(constB125, bitIndex0))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16614,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB125)) | v130(constB125, bitIndex0))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16615,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB125)) | v130(constB125, bitIndex0)),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16614, 16613])).
% 39.76/26.29 tff(16616,plain,
% 39.76/26.29 (~v121(constB125)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16615, 1758, 16603])).
% 39.76/26.29 tff(16617,plain,
% 39.76/26.29 (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16249, 996, 16616])).
% 39.76/26.29 tff(16618,plain,
% 39.76/26.29 (v90(constB125, bitIndex2)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16617, 16612, 16362])).
% 39.76/26.29 tff(16619,plain,
% 39.76/26.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v122(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v122(constB125)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16620,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v122(constB125)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16621,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v122(constB125))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16620, 16619])).
% 39.76/26.29 tff(16622,plain,
% 39.76/26.29 (~v122(constB125)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16621, 3526, 16618])).
% 39.76/26.29 tff(16623,plain,
% 39.76/26.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v124(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v124(constB125)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16624,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v124(constB125)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16625,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v124(constB125))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16624, 16623])).
% 39.76/26.29 tff(16626,plain,
% 39.76/26.29 (~v124(constB125)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16625, 2637, 16612])).
% 39.76/26.29 tff(16627,plain,
% 39.76/26.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v120(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v120(constB125)))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16628,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v120(constB125)))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16629,plain,
% 39.76/26.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v120(constB125))),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16628, 16627])).
% 39.76/26.29 tff(16630,plain,
% 39.76/26.29 (~v120(constB125)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16629, 2615, 16612])).
% 39.76/26.29 tff(16631,plain,
% 39.76/26.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB125, bitIndex0) | v124(constB125) | v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB125, bitIndex0) | v124(constB125) | v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16632,plain,
% 39.76/26.29 ((v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0)) <=> (v130(constB125, bitIndex0) | v124(constB125) | v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125))),
% 39.76/26.29 inference(rewrite,[status(thm)],[])).
% 39.76/26.29 tff(16633,plain,
% 39.76/26.29 (((~![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))) | (v130(constB125, bitIndex0) | v124(constB125) | v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125)))),
% 39.76/26.29 inference(monotonicity,[status(thm)],[16632])).
% 39.76/26.29 tff(16634,plain,
% 39.76/26.29 (((~![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))) | v130(constB125, bitIndex0) | v124(constB125) | v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125))),
% 39.76/26.29 inference(transitivity,[status(thm)],[16633, 16631])).
% 39.76/26.29 tff(16635,plain,
% 39.76/26.29 ((~![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))),
% 39.76/26.29 inference(quant_inst,[status(thm)],[])).
% 39.76/26.29 tff(16636,plain,
% 39.76/26.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB125, bitIndex0) | v124(constB125) | v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125)),
% 39.76/26.29 inference(modus_ponens,[status(thm)],[16635, 16634])).
% 39.76/26.29 tff(16637,plain,
% 39.76/26.29 (v124(constB125) | v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125)),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16636, 2753, 16603])).
% 39.76/26.29 tff(16638,plain,
% 39.76/26.29 ($false),
% 39.76/26.29 inference(unit_resolution,[status(thm)],[16637, 16630, 16626, 16616, 16611, 16607, 16622])).
% 39.76/26.29 tff(16639,plain,(v90(constB125, bitIndex0) | v130(constB125, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.76/26.29 tff(16640,plain,
% 39.76/26.29 (v130(constB125, bitIndex0)),
% 39.86/26.29 inference(unit_resolution,[status(thm)],[16639, 16246])).
% 39.86/26.29 tff(16641,plain,
% 39.86/26.29 (((~![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))),
% 39.86/26.29 inference(rewrite,[status(thm)],[])).
% 39.86/26.29 tff(16642,plain,
% 39.86/26.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 39.86/26.29 inference(quant_inst,[status(thm)],[])).
% 39.86/26.29 tff(16643,plain,
% 39.86/26.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 39.86/26.29 inference(modus_ponens,[status(thm)],[16642, 16641])).
% 39.86/26.29 tff(16644,plain,
% 39.86/26.29 ((~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 39.86/26.29 inference(unit_resolution,[status(thm)],[16643, 601, 16258])).
% 39.86/26.29 tff(16645,plain,
% 39.86/26.29 (v127(constB125, bitIndex0)),
% 39.86/26.29 inference(unit_resolution,[status(thm)],[16644, 16640])).
% 39.86/26.29 tff(16646,plain,
% 39.86/26.29 (((~![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))),
% 39.86/26.29 inference(rewrite,[status(thm)],[])).
% 39.86/26.29 tff(16647,plain,
% 39.86/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 39.86/26.29 inference(quant_inst,[status(thm)],[])).
% 39.86/26.29 tff(16648,plain,
% 39.86/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 39.86/26.29 inference(modus_ponens,[status(thm)],[16647, 16646])).
% 39.86/26.29 tff(16649,plain,
% 39.86/26.29 ((~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 39.86/26.29 inference(unit_resolution,[status(thm)],[16648, 616, 16266])).
% 39.86/26.29 tff(16650,plain,
% 39.86/26.29 (v129(constB126, bitIndex0)),
% 39.86/26.29 inference(unit_resolution,[status(thm)],[16649, 16645])).
% 39.86/26.29 tff(16651,plain,
% 39.86/26.29 (((~![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)))),
% 39.86/26.29 inference(rewrite,[status(thm)],[])).
% 39.86/26.29 tff(16652,plain,
% 39.86/26.29 ((v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0))) <=> (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 39.86/26.29 inference(rewrite,[status(thm)],[])).
% 39.86/26.29 tff(16653,plain,
% 39.86/26.29 (((~![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))))),
% 39.86/26.29 inference(monotonicity,[status(thm)],[16652])).
% 39.86/26.29 tff(16654,plain,
% 39.86/26.29 (((~![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)))),
% 39.86/26.30 inference(transitivity,[status(thm)],[16653, 16651])).
% 39.86/26.30 tff(16655,plain,
% 39.86/26.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16656,plain,
% 39.86/26.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16655, 16654])).
% 39.86/26.30 tff(16657,plain,
% 39.86/26.30 (v90(constB126, bitIndex0) | (~v100(constB126))),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16656, 631, 16650])).
% 39.86/26.30 tff(16658,plain,
% 39.86/26.30 (v90(constB126, bitIndex0)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16657, 16567])).
% 39.86/26.30 tff(16659,assumption,(v90(constB126, bitIndex0)), introduced(assumption)).
% 39.86/26.30 tff(16660,assumption,(v120(constB123)), introduced(assumption)).
% 39.86/26.30 tff(16661,plain,
% 39.86/26.30 (v118(constB123)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16058, 778, 16660])).
% 39.86/26.30 tff(16662,plain,
% 39.86/26.30 (v117(constB123)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16062, 250, 16661])).
% 39.86/26.30 tff(16663,plain,
% 39.86/26.30 (v116(constB123)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16066, 261, 16662])).
% 39.86/26.30 tff(16664,plain,
% 39.86/26.30 (v115(constB123)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16070, 272, 16663])).
% 39.86/26.30 tff(16665,plain,
% 39.86/26.30 (v114(constB123)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16074, 283, 16664])).
% 39.86/26.30 tff(16666,plain,
% 39.86/26.30 (v113(constB123)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16078, 294, 16665])).
% 39.86/26.30 tff(16667,plain,
% 39.86/26.30 (v112(constB123)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16087, 16666])).
% 39.86/26.30 tff(16668,plain,
% 39.86/26.30 (v108(constB123)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16091, 320, 16667])).
% 39.86/26.30 tff(16669,plain,
% 39.86/26.30 (v110(constB124)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16102, 16668])).
% 39.86/26.30 tff(16670,plain,
% 39.86/26.30 (v100(constB124)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16128, 16669])).
% 39.86/26.30 tff(16671,plain,
% 39.86/26.30 (~v130(constB123, bitIndex0)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16215, 930, 16660])).
% 39.86/26.30 tff(16672,plain,
% 39.86/26.30 (~v127(constB123, bitIndex0)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16223, 16671])).
% 39.86/26.30 tff(16673,plain,
% 39.86/26.30 (~v129(constB124, bitIndex0)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16228, 16672])).
% 39.86/26.30 tff(16674,plain,
% 39.86/26.30 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16235, 977, 16673])).
% 39.86/26.30 tff(16675,plain,
% 39.86/26.30 (~v90(constB124, bitIndex0)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16674, 16670])).
% 39.86/26.30 tff(16676,plain,
% 39.86/26.30 (~v90(constB125, bitIndex0)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16245, 16675])).
% 39.86/26.30 tff(16677,plain,
% 39.86/26.30 (v100(constB126)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16446, 16676, 16659])).
% 39.86/26.30 tff(16678,assumption,(v90(constB126, bitIndex2)), introduced(assumption)).
% 39.86/26.30 tff(16679,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16680,plain,
% 39.86/26.30 (((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2)) <=> ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16681,plain,
% 39.86/26.30 (((~![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))))),
% 39.86/26.30 inference(monotonicity,[status(thm)],[16680])).
% 39.86/26.30 tff(16682,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(transitivity,[status(thm)],[16681, 16679])).
% 39.86/26.30 tff(16683,plain,
% 39.86/26.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16684,plain,
% 39.86/26.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16683, 16682])).
% 39.86/26.30 tff(16685,plain,
% 39.86/26.30 (v129(constB126, bitIndex2) | (~v100(constB126))),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16684, 468, 16678])).
% 39.86/26.30 tff(16686,plain,
% 39.86/26.30 (v129(constB126, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16685, 16677])).
% 39.86/26.30 tff(16687,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16688,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16689,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16688, 16687])).
% 39.86/26.30 tff(16690,plain,
% 39.86/26.30 (v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16689, 453, 16266])).
% 39.86/26.30 tff(16691,plain,
% 39.86/26.30 (v127(constB125, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16690, 16686])).
% 39.86/26.30 tff(16692,plain,
% 39.86/26.30 (((~![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))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16693,plain,
% 39.86/26.30 ((v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2))) <=> ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16694,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(monotonicity,[status(thm)],[16693])).
% 39.86/26.30 tff(16695,plain,
% 39.86/26.30 (((~![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))),
% 39.86/26.30 inference(transitivity,[status(thm)],[16694, 16692])).
% 39.86/26.30 tff(16696,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16697,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16696, 16695])).
% 39.86/26.30 tff(16698,plain,
% 39.86/26.30 ((~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16697, 435, 16258])).
% 39.86/26.30 tff(16699,plain,
% 39.86/26.30 (v130(constB125, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16698, 16691])).
% 39.86/26.30 tff(16700,plain,
% 39.86/26.30 (~v130(constB123, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16132, 685, 16660])).
% 39.86/26.30 tff(16701,plain,
% 39.86/26.30 (~v127(constB123, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16140, 16700])).
% 39.86/26.30 tff(16702,plain,
% 39.86/26.30 (~v129(constB124, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16145, 16701])).
% 39.86/26.30 tff(16703,plain,
% 39.86/26.30 ((~v90(constB124, bitIndex2)) | (~v100(constB124))),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16152, 468, 16702])).
% 39.86/26.30 tff(16704,plain,
% 39.86/26.30 (~v90(constB124, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16703, 16670])).
% 39.86/26.30 tff(16705,plain,
% 39.86/26.30 (~v90(constB125, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16180, 16704])).
% 39.86/26.30 tff(16706,plain,
% 39.86/26.30 (v130(constB123, bitIndex1)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16184, 868, 16660])).
% 39.86/26.30 tff(16707,plain,
% 39.86/26.30 (v127(constB123, bitIndex1)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16189, 16706])).
% 39.86/26.30 tff(16708,plain,
% 39.86/26.30 (v129(constB124, bitIndex1)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16194, 16707])).
% 39.86/26.30 tff(16709,plain,
% 39.86/26.30 (v90(constB124, bitIndex1) | (~v100(constB124))),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16201, 912, 16708])).
% 39.86/26.30 tff(16710,plain,
% 39.86/26.30 (v90(constB124, bitIndex1)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16709, 16670])).
% 39.86/26.30 tff(16711,plain,
% 39.86/26.30 (v90(constB125, bitIndex1)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16211, 16710])).
% 39.86/26.30 tff(16712,plain,
% 39.86/26.30 (v121(constB125)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16249, 996, 16676, 16711, 16705])).
% 39.86/26.30 tff(16713,plain,
% 39.86/26.30 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16714,plain,
% 39.86/26.30 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16715,plain,
% 39.86/26.30 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 39.86/26.30 tff(16716,plain,
% 39.86/26.30 ($false),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16715, 1102, 16712, 16699])).
% 39.86/26.30 tff(16717,plain,((~v120(constB123)) | (~v90(constB126, bitIndex2)) | (~v90(constB126, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 39.86/26.30 tff(16718,plain,
% 39.86/26.30 (~v90(constB126, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16717, 16658, 16055])).
% 39.86/26.30 tff(16719,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16720,plain,
% 39.86/26.30 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))) <=> (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16721,plain,
% 39.86/26.30 (((~![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))))),
% 39.86/26.30 inference(monotonicity,[status(thm)],[16720])).
% 39.86/26.30 tff(16722,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(transitivity,[status(thm)],[16721, 16719])).
% 39.86/26.30 tff(16723,plain,
% 39.86/26.30 ((~![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)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16724,plain,
% 39.86/26.30 ((~![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))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16723, 16722])).
% 39.86/26.30 tff(16725,plain,
% 39.86/26.30 (v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16724, 165, 16581])).
% 39.86/26.30 tff(16726,plain,
% 39.86/26.30 (v90(constB126, bitIndex2) | (~v90(constB127, bitIndex2))),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16725, 16593])).
% 39.86/26.30 tff(16727,plain,
% 39.86/26.30 (~v90(constB127, bitIndex2)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16726, 16718])).
% 39.86/26.30 tff(16728,plain,
% 39.86/26.30 (((~![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))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16729,plain,
% 39.86/26.30 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)) <=> ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16730,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(monotonicity,[status(thm)],[16729])).
% 39.86/26.30 tff(16731,plain,
% 39.86/26.30 (((~![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))),
% 39.86/26.30 inference(transitivity,[status(thm)],[16730, 16728])).
% 39.86/26.30 tff(16732,plain,
% 39.86/26.30 ((~![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))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16733,plain,
% 39.86/26.30 ((~![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)),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16732, 16731])).
% 39.86/26.30 tff(16734,plain,
% 39.86/26.30 ((~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16733, 649, 16581])).
% 39.86/26.30 tff(16735,plain,
% 39.86/26.30 ((~v90(constB126, bitIndex0)) | v90(constB127, bitIndex0)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16734, 16593])).
% 39.86/26.30 tff(16736,plain,
% 39.86/26.30 (v90(constB127, bitIndex0)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16735, 16658])).
% 39.86/26.30 tff(16737,plain,
% 39.86/26.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16738,plain,
% 39.86/26.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16739,plain,
% 39.86/26.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127)),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16738, 16737])).
% 39.86/26.30 tff(16740,plain,
% 39.86/26.30 ((~v90(constB127, bitIndex1)) | v122(constB127)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16739, 1184, 16736, 16727])).
% 39.86/26.30 tff(16741,plain,
% 39.86/26.30 (v122(constB127)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16740, 16602])).
% 39.86/26.30 tff(16742,plain,
% 39.86/26.30 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB127) | (~v122(constB127)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB127) | (~v122(constB127)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16743,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB127) | (~v122(constB127)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16744,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB127) | (~v122(constB127))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16743, 16742])).
% 39.86/26.30 tff(16745,plain,
% 39.86/26.30 (v116(constB127)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16744, 1149, 16741])).
% 39.86/26.30 tff(16746,plain,
% 39.86/26.30 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16747,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16748,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16747, 16746])).
% 39.86/26.30 tff(16749,plain,
% 39.86/26.30 (v115(constB127)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16748, 272, 16745])).
% 39.86/26.30 tff(16750,plain,
% 39.86/26.30 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16751,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16752,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16751, 16750])).
% 39.86/26.30 tff(16753,plain,
% 39.86/26.30 (v114(constB127)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16752, 283, 16749])).
% 39.86/26.30 tff(16754,plain,
% 39.86/26.30 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16755,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16756,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16755, 16754])).
% 39.86/26.30 tff(16757,plain,
% 39.86/26.30 (v113(constB127)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16756, 294, 16753])).
% 39.86/26.30 tff(16758,assumption,(v26(constB127)), introduced(assumption)).
% 39.86/26.30 tff(16759,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16760,plain,
% 39.86/26.30 ($false),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16759, 86, 16758])).
% 39.86/26.30 tff(16761,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 39.86/26.30 tff(16762,plain,
% 39.86/26.30 (((~![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))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16763,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16764,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | (~v113(constB127)) | v112(constB127)),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16763, 16762])).
% 39.86/26.30 tff(16765,plain,
% 39.86/26.30 ((~v113(constB127)) | v112(constB127)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16764, 308, 16761])).
% 39.86/26.30 tff(16766,plain,
% 39.86/26.30 (v112(constB127)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16765, 16757])).
% 39.86/26.30 tff(16767,plain,
% 39.86/26.30 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16768,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16769,plain,
% 39.86/26.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16768, 16767])).
% 39.86/26.30 tff(16770,plain,
% 39.86/26.30 (v108(constB127)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16769, 320, 16766])).
% 39.86/26.30 tff(16771,plain,
% 39.86/26.30 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16772,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 39.86/26.30 tff(16773,plain,
% 39.86/26.30 (nextState(constB127, constB128)),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16772, 16771])).
% 39.86/26.30 tff(16774,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16775,plain,
% 39.86/26.30 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16776,plain,
% 39.86/26.30 (((~![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))))),
% 39.86/26.30 inference(monotonicity,[status(thm)],[16775])).
% 39.86/26.30 tff(16777,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(transitivity,[status(thm)],[16776, 16774])).
% 39.86/26.30 tff(16778,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16779,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16778, 16777])).
% 39.86/26.30 tff(16780,plain,
% 39.86/26.30 (v110(constB128) | (~v108(constB127))),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16779, 337, 16773])).
% 39.86/26.30 tff(16781,plain,
% 39.86/26.30 (v110(constB128)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16780, 16770])).
% 39.86/26.30 tff(16782,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16783,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16784,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16783, 16782])).
% 39.86/26.30 tff(16785,plain,
% 39.86/26.30 (~v104(constB128)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16784, 355, 16773, 16578])).
% 39.86/26.30 tff(16786,plain,
% 39.86/26.30 (((~![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))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16787,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16788,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16787, 16786])).
% 39.86/26.30 tff(16789,plain,
% 39.86/26.30 (v102(constB128) | v104(constB128)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16788, 369, 16773])).
% 39.86/26.30 tff(16790,plain,
% 39.86/26.30 (v102(constB128)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16789, 16785])).
% 39.86/26.30 tff(16791,plain,
% 39.86/26.30 (v1(constB128) <=> v1(constB128)),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16792,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 39.86/26.30 tff(16793,plain,
% 39.86/26.30 (v1(constB128)),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16792, 16791])).
% 39.86/26.30 tff(16794,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16795,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16796,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))),
% 39.86/26.30 inference(modus_ponens,[status(thm)],[16795, 16794])).
% 39.86/26.30 tff(16797,plain,
% 39.86/26.30 (v101(constB128) | (~v102(constB128))),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16796, 387, 16773, 16793])).
% 39.86/26.30 tff(16798,plain,
% 39.86/26.30 (v101(constB128)),
% 39.86/26.30 inference(unit_resolution,[status(thm)],[16797, 16790])).
% 39.86/26.30 tff(16799,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16800,plain,
% 39.86/26.30 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 39.86/26.30 inference(rewrite,[status(thm)],[])).
% 39.86/26.30 tff(16801,plain,
% 39.86/26.30 (((~![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))))),
% 39.86/26.30 inference(monotonicity,[status(thm)],[16800])).
% 39.86/26.30 tff(16802,plain,
% 39.86/26.30 (((~![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)))),
% 39.86/26.30 inference(transitivity,[status(thm)],[16801, 16799])).
% 39.86/26.30 tff(16803,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 39.86/26.30 inference(quant_inst,[status(thm)],[])).
% 39.86/26.30 tff(16804,plain,
% 39.86/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16803, 16802])).
% 39.86/26.31 tff(16805,plain,
% 39.86/26.31 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16804, 402, 16773])).
% 39.86/26.31 tff(16806,plain,
% 39.86/26.31 (v100(constB128) | (~v110(constB128))),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16805, 16798])).
% 39.86/26.31 tff(16807,plain,
% 39.86/26.31 (v100(constB128)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16806, 16781])).
% 39.86/26.31 tff(16808,plain,
% 39.86/26.31 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16809,plain,
% 39.86/26.31 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16810,plain,
% 39.86/26.31 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2)),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16809, 16808])).
% 39.86/26.31 tff(16811,plain,
% 39.86/26.31 (v130(constB127, bitIndex2)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16810, 1803, 16741])).
% 39.86/26.31 tff(16812,plain,
% 39.86/26.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16813,plain,
% 39.86/26.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16814,plain,
% 39.86/26.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16813, 16812])).
% 39.86/26.31 tff(16815,plain,
% 39.86/26.31 ((~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16814, 1821, 16761])).
% 39.86/26.31 tff(16816,plain,
% 39.86/26.31 (v127(constB127, bitIndex2)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16815, 16811])).
% 39.86/26.31 tff(16817,plain,
% 39.86/26.31 (((~![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))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16818,plain,
% 39.86/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16819,plain,
% 39.86/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16818, 16817])).
% 39.86/26.31 tff(16820,plain,
% 39.86/26.31 ((~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16819, 1836, 16773])).
% 39.86/26.31 tff(16821,plain,
% 39.86/26.31 (v129(constB128, bitIndex2)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16820, 16816])).
% 39.86/26.31 tff(16822,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16823,plain,
% 39.86/26.31 ((v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2))) <=> (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16824,plain,
% 39.86/26.31 (((~![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))))),
% 39.86/26.31 inference(monotonicity,[status(thm)],[16823])).
% 39.86/26.31 tff(16825,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(transitivity,[status(thm)],[16824, 16822])).
% 39.86/26.31 tff(16826,plain,
% 39.86/26.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16827,plain,
% 39.86/26.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16826, 16825])).
% 39.86/26.31 tff(16828,plain,
% 39.86/26.31 (v90(constB128, bitIndex2) | (~v100(constB128))),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16827, 2100, 16821])).
% 39.86/26.31 tff(16829,plain,
% 39.86/26.31 (v90(constB128, bitIndex2)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16828, 16807])).
% 39.86/26.31 tff(16830,plain,
% 39.86/26.31 ((~v1(constB129)) <=> (~v1(constB129))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16831,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 39.86/26.31 tff(16832,plain,
% 39.86/26.31 (~v1(constB129)),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16831, 16830])).
% 39.86/26.31 tff(16833,plain,
% 39.86/26.31 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16834,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 39.86/26.31 tff(16835,plain,
% 39.86/26.31 (nextState(constB128, constB129)),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16834, 16833])).
% 39.86/26.31 tff(16836,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16837,plain,
% 39.86/26.31 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16838,plain,
% 39.86/26.31 (((~![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))))),
% 39.86/26.31 inference(monotonicity,[status(thm)],[16837])).
% 39.86/26.31 tff(16839,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(transitivity,[status(thm)],[16838, 16836])).
% 39.86/26.31 tff(16840,plain,
% 39.86/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16841,plain,
% 39.86/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16840, 16839])).
% 39.86/26.31 tff(16842,plain,
% 39.86/26.31 (~v101(constB129)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16841, 133, 16835, 16832])).
% 39.86/26.31 tff(16843,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16844,plain,
% 39.86/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16845,plain,
% 39.86/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16844, 16843])).
% 39.86/26.31 tff(16846,plain,
% 39.86/26.31 (v101(constB129) | (~v100(constB129))),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16845, 150, 16835])).
% 39.86/26.31 tff(16847,plain,
% 39.86/26.31 (~v100(constB129)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16846, 16842])).
% 39.86/26.31 tff(16848,plain,
% 39.86/26.31 (((~![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))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16849,plain,
% 39.86/26.31 (((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2)) <=> ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16850,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(monotonicity,[status(thm)],[16849])).
% 39.86/26.31 tff(16851,plain,
% 39.86/26.31 (((~![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))),
% 39.86/26.31 inference(transitivity,[status(thm)],[16850, 16848])).
% 39.86/26.31 tff(16852,plain,
% 39.86/26.31 ((~![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))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16853,plain,
% 39.86/26.31 ((~![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)),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16852, 16851])).
% 39.86/26.31 tff(16854,plain,
% 39.86/26.31 ((~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16853, 2118, 16835])).
% 39.86/26.31 tff(16855,plain,
% 39.86/26.31 ((~v90(constB128, bitIndex2)) | v90(constB129, bitIndex2)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16854, 16847])).
% 39.86/26.31 tff(16856,plain,
% 39.86/26.31 (v90(constB129, bitIndex2)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16855, 16829])).
% 39.86/26.31 tff(16857,plain,
% 39.86/26.31 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16858,plain,
% 39.86/26.31 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16859,plain,
% 39.86/26.31 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16858, 16857])).
% 39.86/26.31 tff(16860,plain,
% 39.86/26.31 (~v130(constB127, bitIndex1)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16859, 2137, 16741])).
% 39.86/26.31 tff(16861,plain,
% 39.86/26.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16862,plain,
% 39.86/26.31 ((v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1))) <=> ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16863,plain,
% 39.86/26.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)))),
% 39.86/26.31 inference(monotonicity,[status(thm)],[16862])).
% 39.86/26.31 tff(16864,plain,
% 39.86/26.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 39.86/26.31 inference(transitivity,[status(thm)],[16863, 16861])).
% 39.86/26.31 tff(16865,plain,
% 39.86/26.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16866,plain,
% 39.86/26.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16865, 16864])).
% 39.86/26.31 tff(16867,plain,
% 39.86/26.31 ((~v127(constB127, bitIndex1)) | v130(constB127, bitIndex1)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16866, 527, 16761])).
% 39.86/26.31 tff(16868,plain,
% 39.86/26.31 (~v127(constB127, bitIndex1)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16867, 16860])).
% 39.86/26.31 tff(16869,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16870,plain,
% 39.86/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16871,plain,
% 39.86/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16870, 16869])).
% 39.86/26.31 tff(16872,plain,
% 39.86/26.31 (v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16871, 545, 16773])).
% 39.86/26.31 tff(16873,plain,
% 39.86/26.31 (~v129(constB128, bitIndex1)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16872, 16868])).
% 39.86/26.31 tff(16874,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16875,plain,
% 39.86/26.31 (((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1)) <=> ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16876,plain,
% 39.86/26.31 (((~![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))))),
% 39.86/26.31 inference(monotonicity,[status(thm)],[16875])).
% 39.86/26.31 tff(16877,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(transitivity,[status(thm)],[16876, 16874])).
% 39.86/26.31 tff(16878,plain,
% 39.86/26.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16879,plain,
% 39.86/26.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16878, 16877])).
% 39.86/26.31 tff(16880,plain,
% 39.86/26.31 ((~v90(constB128, bitIndex1)) | (~v100(constB128))),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16879, 560, 16873])).
% 39.86/26.31 tff(16881,plain,
% 39.86/26.31 (~v90(constB128, bitIndex1)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16880, 16807])).
% 39.86/26.31 tff(16882,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16883,plain,
% 39.86/26.31 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))) <=> (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16884,plain,
% 39.86/26.31 (((~![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))))),
% 39.86/26.31 inference(monotonicity,[status(thm)],[16883])).
% 39.86/26.31 tff(16885,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(transitivity,[status(thm)],[16884, 16882])).
% 39.86/26.31 tff(16886,plain,
% 39.86/26.31 ((~![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)))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16887,plain,
% 39.86/26.31 ((~![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))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16886, 16885])).
% 39.86/26.31 tff(16888,plain,
% 39.86/26.31 (v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16887, 186, 16835])).
% 39.86/26.31 tff(16889,plain,
% 39.86/26.31 (v90(constB128, bitIndex1) | (~v90(constB129, bitIndex1))),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16888, 16847])).
% 39.86/26.31 tff(16890,plain,
% 39.86/26.31 (~v90(constB129, bitIndex1)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16889, 16881])).
% 39.86/26.31 tff(16891,plain,
% 39.86/26.31 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB127)) | (~v130(constB127, bitIndex0)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16892,plain,
% 39.86/26.31 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex0)))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16893,plain,
% 39.86/26.31 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB127)) | (~v130(constB127, bitIndex0))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16892, 16891])).
% 39.86/26.31 tff(16894,plain,
% 39.86/26.31 (~v130(constB127, bitIndex0)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16893, 1486, 16741])).
% 39.86/26.31 tff(16895,plain,
% 39.86/26.31 (((~![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))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16896,plain,
% 39.86/26.31 ((v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0))) <=> ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16897,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(monotonicity,[status(thm)],[16896])).
% 39.86/26.31 tff(16898,plain,
% 39.86/26.31 (((~![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))),
% 39.86/26.31 inference(transitivity,[status(thm)],[16897, 16895])).
% 39.86/26.31 tff(16899,plain,
% 39.86/26.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16900,plain,
% 39.86/26.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16899, 16898])).
% 39.86/26.31 tff(16901,plain,
% 39.86/26.31 ((~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16900, 944, 16761])).
% 39.86/26.31 tff(16902,plain,
% 39.86/26.31 (~v127(constB127, bitIndex0)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16901, 16894])).
% 39.86/26.31 tff(16903,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16904,plain,
% 39.86/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16905,plain,
% 39.86/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16904, 16903])).
% 39.86/26.31 tff(16906,plain,
% 39.86/26.31 (v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16905, 962, 16773])).
% 39.86/26.31 tff(16907,plain,
% 39.86/26.31 (~v129(constB128, bitIndex0)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16906, 16902])).
% 39.86/26.31 tff(16908,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16909,plain,
% 39.86/26.31 (((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0)) <=> ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16910,plain,
% 39.86/26.31 (((~![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))))),
% 39.86/26.31 inference(monotonicity,[status(thm)],[16909])).
% 39.86/26.31 tff(16911,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(transitivity,[status(thm)],[16910, 16908])).
% 39.86/26.31 tff(16912,plain,
% 39.86/26.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16913,plain,
% 39.86/26.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16912, 16911])).
% 39.86/26.31 tff(16914,plain,
% 39.86/26.31 ((~v90(constB128, bitIndex0)) | (~v100(constB128))),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16913, 977, 16907])).
% 39.86/26.31 tff(16915,plain,
% 39.86/26.31 (~v90(constB128, bitIndex0)),
% 39.86/26.31 inference(unit_resolution,[status(thm)],[16914, 16807])).
% 39.86/26.31 tff(16916,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16917,plain,
% 39.86/26.31 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))) <=> (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 39.86/26.31 inference(rewrite,[status(thm)],[])).
% 39.86/26.31 tff(16918,plain,
% 39.86/26.31 (((~![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))))),
% 39.86/26.31 inference(monotonicity,[status(thm)],[16917])).
% 39.86/26.31 tff(16919,plain,
% 39.86/26.31 (((~![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)))),
% 39.86/26.31 inference(transitivity,[status(thm)],[16918, 16916])).
% 39.86/26.31 tff(16920,plain,
% 39.86/26.31 ((~![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)))),
% 39.86/26.31 inference(quant_inst,[status(thm)],[])).
% 39.86/26.31 tff(16921,plain,
% 39.86/26.31 ((~![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))),
% 39.86/26.31 inference(modus_ponens,[status(thm)],[16920, 16919])).
% 39.86/26.31 tff(16922,plain,
% 39.86/26.32 (v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 39.86/26.32 inference(unit_resolution,[status(thm)],[16921, 207, 16835])).
% 39.86/26.32 tff(16923,plain,
% 39.86/26.32 (v90(constB128, bitIndex0) | (~v90(constB129, bitIndex0))),
% 39.86/26.32 inference(unit_resolution,[status(thm)],[16922, 16847])).
% 39.86/26.32 tff(16924,plain,
% 39.86/26.32 (~v90(constB129, bitIndex0)),
% 39.86/26.32 inference(unit_resolution,[status(thm)],[16923, 16915])).
% 39.86/26.32 tff(16925,plain,
% 39.86/26.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 39.86/26.32 inference(rewrite,[status(thm)],[])).
% 39.86/26.32 tff(16926,plain,
% 39.86/26.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 39.86/26.32 inference(quant_inst,[status(thm)],[])).
% 39.86/26.32 tff(16927,plain,
% 39.86/26.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129)),
% 39.86/26.32 inference(modus_ponens,[status(thm)],[16926, 16925])).
% 39.86/26.32 tff(16928,plain,
% 39.86/26.32 (v123(constB129)),
% 39.86/26.32 inference(unit_resolution,[status(thm)],[16927, 1280, 16924, 16890, 16856])).
% 39.86/26.32 tff(16929,plain,
% 39.86/26.32 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB129) | (~v123(constB129)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB129) | (~v123(constB129)))),
% 39.86/26.32 inference(rewrite,[status(thm)],[])).
% 39.86/26.32 tff(16930,plain,
% 39.86/26.32 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB129) | (~v123(constB129)))),
% 39.86/26.32 inference(quant_inst,[status(thm)],[])).
% 39.86/26.32 tff(16931,plain,
% 39.86/26.32 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB129) | (~v123(constB129))),
% 39.86/26.32 inference(modus_ponens,[status(thm)],[16930, 16929])).
% 39.86/26.32 tff(16932,plain,
% 39.86/26.32 (v115(constB129)),
% 39.86/26.32 inference(unit_resolution,[status(thm)],[16931, 1247, 16928])).
% 39.86/26.32 tff(16933,plain,
% 39.86/26.32 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129)))),
% 39.86/26.32 inference(rewrite,[status(thm)],[])).
% 39.86/26.32 tff(16934,plain,
% 39.86/26.32 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))),
% 39.86/26.32 inference(quant_inst,[status(thm)],[])).
% 39.86/26.32 tff(16935,plain,
% 39.86/26.32 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129))),
% 39.86/26.32 inference(modus_ponens,[status(thm)],[16934, 16933])).
% 39.86/26.32 tff(16936,plain,
% 39.86/26.32 (v114(constB129)),
% 39.86/26.32 inference(unit_resolution,[status(thm)],[16935, 283, 16932])).
% 39.88/26.32 tff(16937,plain,
% 39.88/26.32 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16938,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(16939,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16938, 16937])).
% 39.88/26.32 tff(16940,plain,
% 39.88/26.32 (v113(constB129)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16939, 294, 16936])).
% 39.88/26.32 tff(16941,assumption,(v26(constB129)), introduced(assumption)).
% 39.88/26.32 tff(16942,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(16943,plain,
% 39.88/26.32 ($false),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16942, 86, 16941])).
% 39.88/26.32 tff(16944,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.32 tff(16945,plain,
% 39.88/26.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | v112(constB129) | (~v113(constB129)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16946,plain,
% 39.88/26.32 ((v26(constB129) | (~v113(constB129)) | v112(constB129)) <=> (v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16947,plain,
% 39.88/26.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | v112(constB129) | (~v113(constB129))))),
% 39.88/26.32 inference(monotonicity,[status(thm)],[16946])).
% 39.88/26.32 tff(16948,plain,
% 39.88/26.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 39.88/26.32 inference(transitivity,[status(thm)],[16947, 16945])).
% 39.88/26.32 tff(16949,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(16950,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16949, 16948])).
% 39.88/26.32 tff(16951,plain,
% 39.88/26.32 (v112(constB129) | (~v113(constB129))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16950, 308, 16944])).
% 39.88/26.32 tff(16952,plain,
% 39.88/26.32 (v112(constB129)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16951, 16940])).
% 39.88/26.32 tff(16953,plain,
% 39.88/26.32 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16954,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(16955,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 39.88/26.32 tff(16956,plain,
% 39.88/26.32 (v108(constB129)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16955, 320, 16952])).
% 39.88/26.32 tff(16957,plain,
% 39.88/26.32 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16958,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 39.88/26.32 tff(16959,plain,
% 39.88/26.32 (nextState(constB129, constB130)),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16958, 16957])).
% 39.88/26.32 tff(16960,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16961,plain,
% 39.88/26.32 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16962,plain,
% 39.88/26.32 (((~![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))))),
% 39.88/26.32 inference(monotonicity,[status(thm)],[16961])).
% 39.88/26.32 tff(16963,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(transitivity,[status(thm)],[16962, 16960])).
% 39.88/26.32 tff(16964,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(16965,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16964, 16963])).
% 39.88/26.32 tff(16966,plain,
% 39.88/26.32 (v110(constB130) | (~v108(constB129))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16965, 337, 16959])).
% 39.88/26.32 tff(16967,plain,
% 39.88/26.32 (v110(constB130)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16966, 16956])).
% 39.88/26.32 tff(16968,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16969,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(16970,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16969, 16968])).
% 39.88/26.32 tff(16971,plain,
% 39.88/26.32 (~v104(constB130)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16970, 355, 16959, 16832])).
% 39.88/26.32 tff(16972,plain,
% 39.88/26.32 (((~![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))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16973,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(16974,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16973, 16972])).
% 39.88/26.32 tff(16975,plain,
% 39.88/26.32 (v102(constB130) | v104(constB130)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16974, 369, 16959])).
% 39.88/26.32 tff(16976,plain,
% 39.88/26.32 (v102(constB130)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16975, 16971])).
% 39.88/26.32 tff(16977,plain,
% 39.88/26.32 (v1(constB130) <=> v1(constB130)),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16978,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 39.88/26.32 tff(16979,plain,
% 39.88/26.32 (v1(constB130)),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16978, 16977])).
% 39.88/26.32 tff(16980,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16981,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(16982,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16981, 16980])).
% 39.88/26.32 tff(16983,plain,
% 39.88/26.32 (v101(constB130) | (~v102(constB130))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16982, 387, 16959, 16979])).
% 39.88/26.32 tff(16984,plain,
% 39.88/26.32 (v101(constB130)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16983, 16976])).
% 39.88/26.32 tff(16985,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16986,plain,
% 39.88/26.32 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16987,plain,
% 39.88/26.32 (((~![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))))),
% 39.88/26.32 inference(monotonicity,[status(thm)],[16986])).
% 39.88/26.32 tff(16988,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(transitivity,[status(thm)],[16987, 16985])).
% 39.88/26.32 tff(16989,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(16990,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16989, 16988])).
% 39.88/26.32 tff(16991,plain,
% 39.88/26.32 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16990, 402, 16959])).
% 39.88/26.32 tff(16992,plain,
% 39.88/26.32 (v100(constB130) | (~v110(constB130))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16991, 16984])).
% 39.88/26.32 tff(16993,plain,
% 39.88/26.32 (v100(constB130)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16992, 16967])).
% 39.88/26.32 tff(16994,plain,
% 39.88/26.32 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB129)) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB129)) | v130(constB129, bitIndex0))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16995,plain,
% 39.88/26.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB129)) | v130(constB129, bitIndex0))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(16996,plain,
% 39.88/26.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB129)) | v130(constB129, bitIndex0)),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16995, 16994])).
% 39.88/26.32 tff(16997,plain,
% 39.88/26.32 (v130(constB129, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16996, 2258, 16928])).
% 39.88/26.32 tff(16998,plain,
% 39.88/26.32 (((~![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))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(16999,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(17000,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[16999, 16998])).
% 39.88/26.32 tff(17001,plain,
% 39.88/26.32 ((~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17000, 601, 16944])).
% 39.88/26.32 tff(17002,plain,
% 39.88/26.32 (v127(constB129, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17001, 16997])).
% 39.88/26.32 tff(17003,plain,
% 39.88/26.32 (((~![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))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17004,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(17005,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[17004, 17003])).
% 39.88/26.32 tff(17006,plain,
% 39.88/26.32 ((~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17005, 616, 16959])).
% 39.88/26.32 tff(17007,plain,
% 39.88/26.32 (v129(constB130, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17006, 17002])).
% 39.88/26.32 tff(17008,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17009,plain,
% 39.88/26.32 ((v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17010,plain,
% 39.88/26.32 (((~![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))))),
% 39.88/26.32 inference(monotonicity,[status(thm)],[17009])).
% 39.88/26.32 tff(17011,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(transitivity,[status(thm)],[17010, 17008])).
% 39.88/26.32 tff(17012,plain,
% 39.88/26.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(17013,plain,
% 39.88/26.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[17012, 17011])).
% 39.88/26.32 tff(17014,plain,
% 39.88/26.32 (v90(constB130, bitIndex0) | (~v100(constB130))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17013, 631, 17007])).
% 39.88/26.32 tff(17015,plain,
% 39.88/26.32 (v90(constB130, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17014, 16993])).
% 39.88/26.32 tff(17016,plain,
% 39.88/26.32 ((~v1(constB131)) <=> (~v1(constB131))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17017,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 39.88/26.32 tff(17018,plain,
% 39.88/26.32 (~v1(constB131)),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[17017, 17016])).
% 39.88/26.32 tff(17019,plain,
% 39.88/26.32 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17020,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 39.88/26.32 tff(17021,plain,
% 39.88/26.32 (nextState(constB130, constB131)),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[17020, 17019])).
% 39.88/26.32 tff(17022,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17023,plain,
% 39.88/26.32 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17024,plain,
% 39.88/26.32 (((~![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))))),
% 39.88/26.32 inference(monotonicity,[status(thm)],[17023])).
% 39.88/26.32 tff(17025,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(transitivity,[status(thm)],[17024, 17022])).
% 39.88/26.32 tff(17026,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(17027,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[17026, 17025])).
% 39.88/26.32 tff(17028,plain,
% 39.88/26.32 (~v101(constB131)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17027, 133, 17021, 17018])).
% 39.88/26.32 tff(17029,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17030,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(17031,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[17030, 17029])).
% 39.88/26.32 tff(17032,plain,
% 39.88/26.32 (v101(constB131) | (~v100(constB131))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17031, 150, 17021])).
% 39.88/26.32 tff(17033,plain,
% 39.88/26.32 (~v100(constB131)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17032, 17028])).
% 39.88/26.32 tff(17034,plain,
% 39.88/26.32 (((~![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))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17035,plain,
% 39.88/26.32 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)) <=> ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17036,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(monotonicity,[status(thm)],[17035])).
% 39.88/26.32 tff(17037,plain,
% 39.88/26.32 (((~![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))),
% 39.88/26.32 inference(transitivity,[status(thm)],[17036, 17034])).
% 39.88/26.32 tff(17038,plain,
% 39.88/26.32 ((~![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))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(17039,plain,
% 39.88/26.32 ((~![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)),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[17038, 17037])).
% 39.88/26.32 tff(17040,plain,
% 39.88/26.32 ((~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17039, 649, 17021])).
% 39.88/26.32 tff(17041,plain,
% 39.88/26.32 ((~v90(constB130, bitIndex0)) | v90(constB131, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17040, 17033])).
% 39.88/26.32 tff(17042,plain,
% 39.88/26.32 (v90(constB131, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17041, 17015])).
% 39.88/26.32 tff(17043,assumption,(v90(constB131, bitIndex0)), introduced(assumption)).
% 39.88/26.32 tff(17044,assumption,(v122(constB127)), introduced(assumption)).
% 39.88/26.32 tff(17045,plain,
% 39.88/26.32 (v116(constB127)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16744, 1149, 17044])).
% 39.88/26.32 tff(17046,plain,
% 39.88/26.32 (v115(constB127)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16748, 272, 17045])).
% 39.88/26.32 tff(17047,plain,
% 39.88/26.32 (v114(constB127)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16752, 283, 17046])).
% 39.88/26.32 tff(17048,plain,
% 39.88/26.32 (v113(constB127)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16756, 294, 17047])).
% 39.88/26.32 tff(17049,plain,
% 39.88/26.32 (v112(constB127)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16765, 17048])).
% 39.88/26.32 tff(17050,plain,
% 39.88/26.32 (v108(constB127)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16769, 320, 17049])).
% 39.88/26.32 tff(17051,plain,
% 39.88/26.32 (v110(constB128)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16780, 17050])).
% 39.88/26.32 tff(17052,plain,
% 39.88/26.32 (v100(constB128)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16806, 17051])).
% 39.88/26.32 tff(17053,plain,
% 39.88/26.32 (v130(constB127, bitIndex2)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16810, 1803, 17044])).
% 39.88/26.32 tff(17054,plain,
% 39.88/26.32 (v127(constB127, bitIndex2)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16815, 17053])).
% 39.88/26.32 tff(17055,plain,
% 39.88/26.32 (v129(constB128, bitIndex2)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16820, 17054])).
% 39.88/26.32 tff(17056,plain,
% 39.88/26.32 (v90(constB128, bitIndex2) | (~v100(constB128))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16827, 2100, 17055])).
% 39.88/26.32 tff(17057,plain,
% 39.88/26.32 (v90(constB128, bitIndex2)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17056, 17052])).
% 39.88/26.32 tff(17058,plain,
% 39.88/26.32 (v90(constB129, bitIndex2)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16855, 17057])).
% 39.88/26.32 tff(17059,plain,
% 39.88/26.32 (~v130(constB127, bitIndex1)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16859, 2137, 17044])).
% 39.88/26.32 tff(17060,plain,
% 39.88/26.32 (~v127(constB127, bitIndex1)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16867, 17059])).
% 39.88/26.32 tff(17061,plain,
% 39.88/26.32 (~v129(constB128, bitIndex1)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16872, 17060])).
% 39.88/26.32 tff(17062,plain,
% 39.88/26.32 ((~v90(constB128, bitIndex1)) | (~v100(constB128))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16879, 560, 17061])).
% 39.88/26.32 tff(17063,plain,
% 39.88/26.32 (~v90(constB128, bitIndex1)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17062, 17052])).
% 39.88/26.32 tff(17064,plain,
% 39.88/26.32 (~v90(constB129, bitIndex1)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16889, 17063])).
% 39.88/26.32 tff(17065,plain,
% 39.88/26.32 (~v130(constB127, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16893, 1486, 17044])).
% 39.88/26.32 tff(17066,plain,
% 39.88/26.32 (~v127(constB127, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16901, 17065])).
% 39.88/26.32 tff(17067,plain,
% 39.88/26.32 (~v129(constB128, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16906, 17066])).
% 39.88/26.32 tff(17068,plain,
% 39.88/26.32 ((~v90(constB128, bitIndex0)) | (~v100(constB128))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16913, 977, 17067])).
% 39.88/26.32 tff(17069,plain,
% 39.88/26.32 (~v90(constB128, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17068, 17052])).
% 39.88/26.32 tff(17070,plain,
% 39.88/26.32 (~v90(constB129, bitIndex0)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16923, 17069])).
% 39.88/26.32 tff(17071,plain,
% 39.88/26.32 (v123(constB129)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[16927, 1280, 17070, 17064, 17058])).
% 39.88/26.32 tff(17072,plain,
% 39.88/26.32 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB129)) | (~v130(constB129, bitIndex1)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17073,plain,
% 39.88/26.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex1)))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(17074,plain,
% 39.88/26.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB129)) | (~v130(constB129, bitIndex1))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[17073, 17072])).
% 39.88/26.32 tff(17075,plain,
% 39.88/26.32 (~v130(constB129, bitIndex1)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17074, 1579, 17071])).
% 39.88/26.32 tff(17076,plain,
% 39.88/26.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17077,plain,
% 39.88/26.32 ((v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1))) <=> ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17078,plain,
% 39.88/26.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)))),
% 39.88/26.32 inference(monotonicity,[status(thm)],[17077])).
% 39.88/26.32 tff(17079,plain,
% 39.88/26.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 39.88/26.32 inference(transitivity,[status(thm)],[17078, 17076])).
% 39.88/26.32 tff(17080,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(17081,plain,
% 39.88/26.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[17080, 17079])).
% 39.88/26.32 tff(17082,plain,
% 39.88/26.32 ((~v127(constB129, bitIndex1)) | v130(constB129, bitIndex1)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17081, 527, 16944])).
% 39.88/26.32 tff(17083,plain,
% 39.88/26.32 (~v127(constB129, bitIndex1)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17082, 17075])).
% 39.88/26.32 tff(17084,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.32 inference(rewrite,[status(thm)],[])).
% 39.88/26.32 tff(17085,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 39.88/26.32 inference(quant_inst,[status(thm)],[])).
% 39.88/26.32 tff(17086,plain,
% 39.88/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 39.88/26.32 inference(modus_ponens,[status(thm)],[17085, 17084])).
% 39.88/26.32 tff(17087,plain,
% 39.88/26.32 (v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17086, 545, 16959])).
% 39.88/26.32 tff(17088,plain,
% 39.88/26.32 (~v129(constB130, bitIndex1)),
% 39.88/26.32 inference(unit_resolution,[status(thm)],[17087, 17083])).
% 39.88/26.32 tff(17089,plain,
% 39.88/26.32 (((~![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)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17090,plain,
% 39.88/26.33 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex0) | v100(constB131) | (~v90(constB131, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex0)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17091,plain,
% 39.88/26.33 (((~![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))))),
% 39.88/26.33 inference(monotonicity,[status(thm)],[17090])).
% 39.88/26.33 tff(17092,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(transitivity,[status(thm)],[17091, 17089])).
% 39.88/26.33 tff(17093,plain,
% 39.88/26.33 ((~![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)))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17094,plain,
% 39.88/26.33 ((~![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))),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17093, 17092])).
% 39.88/26.33 tff(17095,plain,
% 39.88/26.33 (v90(constB130, bitIndex0) | v100(constB131) | (~v90(constB131, bitIndex0))),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17094, 207, 17021])).
% 39.88/26.33 tff(17096,plain,
% 39.88/26.33 (v90(constB130, bitIndex0) | (~v90(constB131, bitIndex0))),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17095, 17033])).
% 39.88/26.33 tff(17097,plain,
% 39.88/26.33 (v90(constB130, bitIndex0)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17096, 17043])).
% 39.88/26.33 tff(17098,plain,
% 39.88/26.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17099,plain,
% 39.88/26.33 (((~nextState(constB129, constB130)) | v90(constB129, bitIndex0) | v100(constB130) | (~v90(constB130, bitIndex0))) <=> (v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17100,plain,
% 39.88/26.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex0) | v100(constB130) | (~v90(constB130, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0))))),
% 39.88/26.33 inference(monotonicity,[status(thm)],[17099])).
% 39.88/26.33 tff(17101,plain,
% 39.88/26.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex0) | v100(constB130) | (~v90(constB130, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0)))),
% 39.88/26.33 inference(transitivity,[status(thm)],[17100, 17098])).
% 39.88/26.33 tff(17102,plain,
% 39.88/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex0) | v100(constB130) | (~v90(constB130, bitIndex0)))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17103,plain,
% 39.88/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0))),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17102, 17101])).
% 39.88/26.33 tff(17104,plain,
% 39.88/26.33 (v90(constB129, bitIndex0) | v100(constB130) | (~v90(constB130, bitIndex0))),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17103, 207, 16959])).
% 39.88/26.33 tff(17105,plain,
% 39.88/26.33 (v100(constB130)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17104, 17070, 17097])).
% 39.88/26.33 tff(17106,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17107,plain,
% 39.88/26.33 (((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1)) <=> ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17108,plain,
% 39.88/26.33 (((~![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))))),
% 39.88/26.33 inference(monotonicity,[status(thm)],[17107])).
% 39.88/26.33 tff(17109,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(transitivity,[status(thm)],[17108, 17106])).
% 39.88/26.33 tff(17110,plain,
% 39.88/26.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17111,plain,
% 39.88/26.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17110, 17109])).
% 39.88/26.33 tff(17112,plain,
% 39.88/26.33 ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17111, 560, 17105])).
% 39.88/26.33 tff(17113,plain,
% 39.88/26.33 (~v90(constB130, bitIndex1)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17112, 17088])).
% 39.88/26.33 tff(17114,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17115,plain,
% 39.88/26.33 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))) <=> (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17116,plain,
% 39.88/26.33 (((~![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))))),
% 39.88/26.33 inference(monotonicity,[status(thm)],[17115])).
% 39.88/26.33 tff(17117,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(transitivity,[status(thm)],[17116, 17114])).
% 39.88/26.33 tff(17118,plain,
% 39.88/26.33 ((~![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)))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17119,plain,
% 39.88/26.33 ((~![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))),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17118, 17117])).
% 39.88/26.33 tff(17120,plain,
% 39.88/26.33 (v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17119, 186, 17021])).
% 39.88/26.33 tff(17121,plain,
% 39.88/26.33 (v90(constB130, bitIndex1) | (~v90(constB131, bitIndex1))),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17120, 17033])).
% 39.88/26.33 tff(17122,plain,
% 39.88/26.33 (~v90(constB131, bitIndex1)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17121, 17113])).
% 39.88/26.33 tff(17123,plain,
% 39.88/26.33 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17124,plain,
% 39.88/26.33 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17125,plain,
% 39.88/26.33 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2)),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17124, 17123])).
% 39.88/26.33 tff(17126,plain,
% 39.88/26.33 (v130(constB129, bitIndex2)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17125, 2165, 17071])).
% 39.88/26.33 tff(17127,plain,
% 39.88/26.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17128,plain,
% 39.88/26.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17129,plain,
% 39.88/26.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 39.88/26.33 tff(17130,plain,
% 39.88/26.33 ((~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17129, 1821, 16944])).
% 39.88/26.33 tff(17131,plain,
% 39.88/26.33 (v127(constB129, bitIndex2)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17130, 17126])).
% 39.88/26.33 tff(17132,plain,
% 39.88/26.33 (((~![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))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17133,plain,
% 39.88/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17134,plain,
% 39.88/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17133, 17132])).
% 39.88/26.33 tff(17135,plain,
% 39.88/26.33 ((~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17134, 1836, 16959])).
% 39.88/26.33 tff(17136,plain,
% 39.88/26.33 (v129(constB130, bitIndex2)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17135, 17131])).
% 39.88/26.33 tff(17137,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17138,plain,
% 39.88/26.33 ((v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2))) <=> (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17139,plain,
% 39.88/26.33 (((~![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))))),
% 39.88/26.33 inference(monotonicity,[status(thm)],[17138])).
% 39.88/26.33 tff(17140,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(transitivity,[status(thm)],[17139, 17137])).
% 39.88/26.33 tff(17141,plain,
% 39.88/26.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17142,plain,
% 39.88/26.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17141, 17140])).
% 39.88/26.33 tff(17143,plain,
% 39.88/26.33 (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2))),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17142, 2100, 17105])).
% 39.88/26.33 tff(17144,plain,
% 39.88/26.33 (v90(constB130, bitIndex2)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17143, 17136])).
% 39.88/26.33 tff(17145,plain,
% 39.88/26.33 (((~![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))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17146,plain,
% 39.88/26.33 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)) <=> ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17147,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(monotonicity,[status(thm)],[17146])).
% 39.88/26.33 tff(17148,plain,
% 39.88/26.33 (((~![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))),
% 39.88/26.33 inference(transitivity,[status(thm)],[17147, 17145])).
% 39.88/26.33 tff(17149,plain,
% 39.88/26.33 ((~![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))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17150,plain,
% 39.88/26.33 ((~![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)),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17149, 17148])).
% 39.88/26.33 tff(17151,plain,
% 39.88/26.33 ((~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17150, 2118, 17021])).
% 39.88/26.33 tff(17152,plain,
% 39.88/26.33 ((~v90(constB130, bitIndex2)) | v90(constB131, bitIndex2)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17151, 17033])).
% 39.88/26.33 tff(17153,plain,
% 39.88/26.33 (v90(constB131, bitIndex2)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17152, 17144])).
% 39.88/26.33 tff(17154,assumption,(~v124(constB131)), introduced(assumption)).
% 39.88/26.33 tff(17155,plain,
% 39.88/26.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17156,plain,
% 39.88/26.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17157,plain,
% 39.88/26.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131)),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17156, 17155])).
% 39.88/26.33 tff(17158,plain,
% 39.88/26.33 ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2))),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17157, 1264, 17154])).
% 39.88/26.33 tff(17159,plain,
% 39.88/26.33 ($false),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17158, 17153, 17122, 17043])).
% 39.88/26.33 tff(17160,plain,((~v122(constB127)) | (~v90(constB131, bitIndex0)) | v124(constB131)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.33 tff(17161,plain,
% 39.88/26.33 (v124(constB131)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17160, 17042, 16741])).
% 39.88/26.33 tff(17162,plain,
% 39.88/26.33 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB131)) | (~v130(constB131, bitIndex0)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17163,plain,
% 39.88/26.33 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex0)))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17164,plain,
% 39.88/26.33 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB131)) | (~v130(constB131, bitIndex0))),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17163, 17162])).
% 39.88/26.33 tff(17165,plain,
% 39.88/26.33 (~v130(constB131, bitIndex0)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17164, 1519, 17161])).
% 39.88/26.33 tff(17166,assumption,(v127(constB131, bitIndex0)), introduced(assumption)).
% 39.88/26.33 tff(17167,assumption,(~v130(constB131, bitIndex0)), introduced(assumption)).
% 39.88/26.33 tff(17168,plain,
% 39.88/26.33 (((~![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))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17169,plain,
% 39.88/26.33 ((v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0))) <=> ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17170,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(monotonicity,[status(thm)],[17169])).
% 39.88/26.33 tff(17171,plain,
% 39.88/26.33 (((~![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))),
% 39.88/26.33 inference(transitivity,[status(thm)],[17170, 17168])).
% 39.88/26.33 tff(17172,plain,
% 39.88/26.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17173,plain,
% 39.88/26.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17172, 17171])).
% 39.88/26.33 tff(17174,plain,
% 39.88/26.33 ((~v127(constB131, bitIndex0)) | v26(constB131)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17173, 944, 17167])).
% 39.88/26.33 tff(17175,plain,
% 39.88/26.33 (v26(constB131)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17174, 17166])).
% 39.88/26.33 tff(17176,plain,
% 39.88/26.33 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB131)) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB131)) | (~v127(constB131, bitIndex0)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17177,plain,
% 39.88/26.33 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB131)) | (~v127(constB131, bitIndex0)))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17178,plain,
% 39.88/26.33 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB131)) | (~v127(constB131, bitIndex0))),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17177, 17176])).
% 39.88/26.33 tff(17179,plain,
% 39.88/26.33 ($false),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17178, 1070, 17166, 17175])).
% 39.88/26.33 tff(17180,plain,((~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.33 tff(17181,plain,
% 39.88/26.33 (~v127(constB131, bitIndex0)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17180, 17165])).
% 39.88/26.33 tff(17182,assumption,(v26(constB131)), introduced(assumption)).
% 39.88/26.33 tff(17183,plain,
% 39.88/26.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17184,plain,
% 39.88/26.33 ($false),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17183, 86, 17182])).
% 39.88/26.33 tff(17185,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.33 tff(17186,assumption,(~v127(constB131, bitIndex0)), introduced(assumption)).
% 39.88/26.33 tff(17187,plain,
% 39.88/26.33 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17188,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 39.88/26.33 tff(17189,plain,
% 39.88/26.33 (nextState(constB131, constB132)),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17188, 17187])).
% 39.88/26.33 tff(17190,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17191,plain,
% 39.88/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 39.88/26.33 inference(quant_inst,[status(thm)],[])).
% 39.88/26.33 tff(17192,plain,
% 39.88/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 39.88/26.33 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 39.88/26.33 tff(17193,plain,
% 39.88/26.33 (v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17192, 962, 17189])).
% 39.88/26.33 tff(17194,plain,
% 39.88/26.33 (~v129(constB132, bitIndex0)),
% 39.88/26.33 inference(unit_resolution,[status(thm)],[17193, 17186])).
% 39.88/26.33 tff(17195,assumption,(v90(constB132, bitIndex0)), introduced(assumption)).
% 39.88/26.33 tff(17196,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17197,plain,
% 39.88/26.33 (((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0)) <=> ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 39.88/26.33 inference(rewrite,[status(thm)],[])).
% 39.88/26.33 tff(17198,plain,
% 39.88/26.33 (((~![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))))),
% 39.88/26.33 inference(monotonicity,[status(thm)],[17197])).
% 39.88/26.33 tff(17199,plain,
% 39.88/26.33 (((~![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)))),
% 39.88/26.34 inference(transitivity,[status(thm)],[17198, 17196])).
% 39.88/26.34 tff(17200,plain,
% 39.88/26.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17201,plain,
% 39.88/26.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17200, 17199])).
% 39.88/26.34 tff(17202,plain,
% 39.88/26.34 (v129(constB132, bitIndex0) | (~v100(constB132))),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17201, 977, 17195])).
% 39.88/26.34 tff(17203,plain,
% 39.88/26.34 (~v100(constB132)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17202, 17194])).
% 39.88/26.34 tff(17204,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17205,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17206,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17205, 17204])).
% 39.88/26.34 tff(17207,plain,
% 39.88/26.34 (~v104(constB132)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17206, 355, 17189, 17018])).
% 39.88/26.34 tff(17208,plain,
% 39.88/26.34 (((~![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))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17209,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17210,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17209, 17208])).
% 39.88/26.34 tff(17211,plain,
% 39.88/26.34 (v102(constB132) | v104(constB132)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17210, 369, 17189])).
% 39.88/26.34 tff(17212,plain,
% 39.88/26.34 (v102(constB132)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17211, 17207])).
% 39.88/26.34 tff(17213,plain,
% 39.88/26.34 (v1(constB132) <=> v1(constB132)),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17214,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 39.88/26.34 tff(17215,plain,
% 39.88/26.34 (v1(constB132)),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17214, 17213])).
% 39.88/26.34 tff(17216,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17217,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17218,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17217, 17216])).
% 39.88/26.34 tff(17219,plain,
% 39.88/26.34 (v101(constB132) | (~v102(constB132))),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17218, 387, 17189, 17215])).
% 39.88/26.34 tff(17220,plain,
% 39.88/26.34 (v101(constB132)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17219, 17212])).
% 39.88/26.34 tff(17221,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17222,plain,
% 39.88/26.34 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17223,plain,
% 39.88/26.34 (((~![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))))),
% 39.88/26.34 inference(monotonicity,[status(thm)],[17222])).
% 39.88/26.34 tff(17224,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(transitivity,[status(thm)],[17223, 17221])).
% 39.88/26.34 tff(17225,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17226,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17225, 17224])).
% 39.88/26.34 tff(17227,plain,
% 39.88/26.34 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17226, 402, 17189])).
% 39.88/26.34 tff(17228,plain,
% 39.88/26.34 (v100(constB132) | (~v110(constB132))),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17227, 17220])).
% 39.88/26.34 tff(17229,plain,
% 39.88/26.34 (~v110(constB132)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17228, 17203])).
% 39.88/26.34 tff(17230,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17231,plain,
% 39.88/26.34 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17232,plain,
% 39.88/26.34 (((~![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))))),
% 39.88/26.34 inference(monotonicity,[status(thm)],[17231])).
% 39.88/26.34 tff(17233,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(transitivity,[status(thm)],[17232, 17230])).
% 39.88/26.34 tff(17234,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17235,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 39.88/26.34 tff(17236,plain,
% 39.88/26.34 (v110(constB132) | (~v108(constB131))),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17235, 337, 17189])).
% 39.88/26.34 tff(17237,plain,
% 39.88/26.34 (~v108(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17236, 17229])).
% 39.88/26.34 tff(17238,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17239,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17240,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17239, 17238])).
% 39.88/26.34 tff(17241,plain,
% 39.88/26.34 (~v112(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17240, 320, 17237])).
% 39.88/26.34 tff(17242,assumption,(~v26(constB131)), introduced(assumption)).
% 39.88/26.34 tff(17243,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17244,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17245,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131)),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17244, 17243])).
% 39.88/26.34 tff(17246,plain,
% 39.88/26.34 ((~v113(constB131)) | v112(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17245, 308, 17242])).
% 39.88/26.34 tff(17247,plain,
% 39.88/26.34 (~v113(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17246, 17241])).
% 39.88/26.34 tff(17248,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17249,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17250,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17249, 17248])).
% 39.88/26.34 tff(17251,plain,
% 39.88/26.34 (~v114(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17250, 294, 17247])).
% 39.88/26.34 tff(17252,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB131) | (~v115(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17253,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB131) | (~v115(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17254,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB131) | (~v115(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17253, 17252])).
% 39.88/26.34 tff(17255,plain,
% 39.88/26.34 (~v115(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17254, 283, 17251])).
% 39.88/26.34 tff(17256,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB131) | (~v116(constB131)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB131) | (~v116(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17257,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB131) | (~v116(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17258,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB131) | (~v116(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17257, 17256])).
% 39.88/26.34 tff(17259,plain,
% 39.88/26.34 (~v116(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17258, 272, 17255])).
% 39.88/26.34 tff(17260,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB131) | (~v117(constB131)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB131) | (~v117(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17261,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB131) | (~v117(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17262,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB131) | (~v117(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 39.88/26.34 tff(17263,plain,
% 39.88/26.34 (~v117(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17262, 261, 17259])).
% 39.88/26.34 tff(17264,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB131) | (~v118(constB131)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB131) | (~v118(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17265,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB131) | (~v118(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17266,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB131) | (~v118(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17265, 17264])).
% 39.88/26.34 tff(17267,plain,
% 39.88/26.34 (~v118(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17266, 250, 17263])).
% 39.88/26.34 tff(17268,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB131) | (~v124(constB131)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB131) | (~v124(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17269,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB131) | (~v124(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17270,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB131) | (~v124(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17269, 17268])).
% 39.88/26.34 tff(17271,plain,
% 39.88/26.34 (~v124(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17270, 1236, 17251])).
% 39.88/26.34 tff(17272,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB131) | (~v122(constB131)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB131) | (~v122(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17273,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB131) | (~v122(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17274,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB131) | (~v122(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17273, 17272])).
% 39.88/26.34 tff(17275,plain,
% 39.88/26.34 (~v122(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17274, 1149, 17259])).
% 39.88/26.34 tff(17276,plain,
% 39.88/26.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17277,plain,
% 39.88/26.34 (((~nextState(constB131, constB132)) | v90(constB131, bitIndex0) | v100(constB132) | (~v90(constB132, bitIndex0))) <=> (v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17278,plain,
% 39.88/26.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex0) | v100(constB132) | (~v90(constB132, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0))))),
% 39.88/26.34 inference(monotonicity,[status(thm)],[17277])).
% 39.88/26.34 tff(17279,plain,
% 39.88/26.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex0) | v100(constB132) | (~v90(constB132, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0)))),
% 39.88/26.34 inference(transitivity,[status(thm)],[17278, 17276])).
% 39.88/26.34 tff(17280,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex0) | v100(constB132) | (~v90(constB132, bitIndex0)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17281,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17280, 17279])).
% 39.88/26.34 tff(17282,plain,
% 39.88/26.34 (v90(constB131, bitIndex0) | v100(constB132) | (~v90(constB132, bitIndex0))),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17281, 207, 17189])).
% 39.88/26.34 tff(17283,plain,
% 39.88/26.34 (v90(constB131, bitIndex0)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17282, 17203, 17195])).
% 39.88/26.34 tff(17284,plain,
% 39.88/26.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB131, bitIndex0)) | (~v119(constB131)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB131, bitIndex0)) | (~v119(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17285,plain,
% 39.88/26.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB131, bitIndex0)) | (~v119(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17286,plain,
% 39.88/26.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB131, bitIndex0)) | (~v119(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17285, 17284])).
% 39.88/26.34 tff(17287,plain,
% 39.88/26.34 (~v119(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17286, 7128, 17283])).
% 39.88/26.34 tff(17288,plain,
% 39.88/26.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB131, bitIndex0)) | (~v121(constB131)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB131, bitIndex0)) | (~v121(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17289,plain,
% 39.88/26.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB131, bitIndex0)) | (~v121(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17290,plain,
% 39.88/26.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB131, bitIndex0)) | (~v121(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17289, 17288])).
% 39.88/26.34 tff(17291,plain,
% 39.88/26.34 (~v121(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17290, 755, 17283])).
% 39.88/26.34 tff(17292,plain,
% 39.88/26.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB131, bitIndex0)) | (~v123(constB131)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB131, bitIndex0)) | (~v123(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17293,plain,
% 39.88/26.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB131, bitIndex0)) | (~v123(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17294,plain,
% 39.88/26.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB131, bitIndex0)) | (~v123(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17293, 17292])).
% 39.88/26.34 tff(17295,plain,
% 39.88/26.34 (~v123(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17294, 16407, 17283])).
% 39.88/26.34 tff(17296,plain,
% 39.88/26.34 (((~![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))) | v26(constB131) | (~v130(constB131, bitIndex0)) | v127(constB131, bitIndex0))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17297,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB131) | (~v130(constB131, bitIndex0)) | v127(constB131, bitIndex0))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17298,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB131) | (~v130(constB131, bitIndex0)) | v127(constB131, bitIndex0)),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17297, 17296])).
% 39.88/26.34 tff(17299,plain,
% 39.88/26.34 ((~v130(constB131, bitIndex0)) | v127(constB131, bitIndex0)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17298, 601, 17242])).
% 39.88/26.34 tff(17300,plain,
% 39.88/26.34 (~v130(constB131, bitIndex0)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17299, 17186])).
% 39.88/26.34 tff(17301,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v121(constB131) | v123(constB131) | v130(constB131, bitIndex0) | v122(constB131) | v119(constB131) | v124(constB131) | v120(constB131))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v121(constB131) | v123(constB131) | v130(constB131, bitIndex0) | v122(constB131) | v119(constB131) | v124(constB131) | v120(constB131))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17302,plain,
% 39.88/26.34 ((v120(constB131) | v119(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, bitIndex0)) <=> (v121(constB131) | v123(constB131) | v130(constB131, bitIndex0) | v122(constB131) | v119(constB131) | v124(constB131) | v120(constB131))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17303,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB131) | v119(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v121(constB131) | v123(constB131) | v130(constB131, bitIndex0) | v122(constB131) | v119(constB131) | v124(constB131) | v120(constB131)))),
% 39.88/26.34 inference(monotonicity,[status(thm)],[17302])).
% 39.88/26.34 tff(17304,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB131) | v119(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v121(constB131) | v123(constB131) | v130(constB131, bitIndex0) | v122(constB131) | v119(constB131) | v124(constB131) | v120(constB131))),
% 39.88/26.34 inference(transitivity,[status(thm)],[17303, 17301])).
% 39.88/26.34 tff(17305,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB131) | v119(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, bitIndex0))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17306,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v121(constB131) | v123(constB131) | v130(constB131, bitIndex0) | v122(constB131) | v119(constB131) | v124(constB131) | v120(constB131)),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17305, 17304])).
% 39.88/26.34 tff(17307,plain,
% 39.88/26.34 (v122(constB131) | v124(constB131) | v120(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17306, 2753, 17300, 17295, 17291, 17287])).
% 39.88/26.34 tff(17308,plain,
% 39.88/26.34 (v120(constB131)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17307, 17275, 17271])).
% 39.88/26.34 tff(17309,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB131) | (~v120(constB131)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB131) | (~v120(constB131)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17310,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB131) | (~v120(constB131)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17311,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB131) | (~v120(constB131))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17310, 17309])).
% 39.88/26.34 tff(17312,plain,
% 39.88/26.34 ($false),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17311, 778, 17308, 17267])).
% 39.88/26.34 tff(17313,plain,(v127(constB131, bitIndex0) | v26(constB131) | (~v90(constB132, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 39.88/26.34 tff(17314,plain,
% 39.88/26.34 (v127(constB131, bitIndex0) | (~v90(constB132, bitIndex0))),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17313, 17185])).
% 39.88/26.34 tff(17315,plain,
% 39.88/26.34 (~v90(constB132, bitIndex0)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17314, 17181])).
% 39.88/26.34 tff(17316,plain,
% 39.88/26.34 ((~v1(constB133)) <=> (~v1(constB133))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17317,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 39.88/26.34 tff(17318,plain,
% 39.88/26.34 (~v1(constB133)),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17317, 17316])).
% 39.88/26.34 tff(17319,plain,
% 39.88/26.34 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17320,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 39.88/26.34 tff(17321,plain,
% 39.88/26.34 (nextState(constB132, constB133)),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17320, 17319])).
% 39.88/26.34 tff(17322,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17323,plain,
% 39.88/26.34 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17324,plain,
% 39.88/26.34 (((~![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))))),
% 39.88/26.34 inference(monotonicity,[status(thm)],[17323])).
% 39.88/26.34 tff(17325,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(transitivity,[status(thm)],[17324, 17322])).
% 39.88/26.34 tff(17326,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17327,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17326, 17325])).
% 39.88/26.34 tff(17328,plain,
% 39.88/26.34 (~v101(constB133)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17327, 133, 17321, 17318])).
% 39.88/26.34 tff(17329,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17330,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17331,plain,
% 39.88/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17330, 17329])).
% 39.88/26.34 tff(17332,plain,
% 39.88/26.34 (v101(constB133) | (~v100(constB133))),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17331, 150, 17321])).
% 39.88/26.34 tff(17333,plain,
% 39.88/26.34 (~v100(constB133)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17332, 17328])).
% 39.88/26.34 tff(17334,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17335,plain,
% 39.88/26.34 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17336,plain,
% 39.88/26.34 (((~![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))))),
% 39.88/26.34 inference(monotonicity,[status(thm)],[17335])).
% 39.88/26.34 tff(17337,plain,
% 39.88/26.34 (((~![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)))),
% 39.88/26.34 inference(transitivity,[status(thm)],[17336, 17334])).
% 39.88/26.34 tff(17338,plain,
% 39.88/26.34 ((~![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)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17339,plain,
% 39.88/26.34 ((~![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))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17338, 17337])).
% 39.88/26.34 tff(17340,plain,
% 39.88/26.34 (v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17339, 207, 17321])).
% 39.88/26.34 tff(17341,plain,
% 39.88/26.34 (v90(constB132, bitIndex0) | (~v90(constB133, bitIndex0))),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17340, 17333])).
% 39.88/26.34 tff(17342,plain,
% 39.88/26.34 (~v90(constB133, bitIndex0)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17341, 17315])).
% 39.88/26.34 tff(17343,plain,
% 39.88/26.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB133, bitIndex0) | (~v124(constB133)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB133, bitIndex0) | (~v124(constB133)))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17344,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB133, bitIndex0) | (~v124(constB133)))),
% 39.88/26.34 inference(quant_inst,[status(thm)],[])).
% 39.88/26.34 tff(17345,plain,
% 39.88/26.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB133, bitIndex0) | (~v124(constB133))),
% 39.88/26.34 inference(modus_ponens,[status(thm)],[17344, 17343])).
% 39.88/26.34 tff(17346,plain,
% 39.88/26.34 (~v124(constB133)),
% 39.88/26.34 inference(unit_resolution,[status(thm)],[17345, 1979, 17342])).
% 39.88/26.34 tff(17347,plain,
% 39.88/26.34 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB131)) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB131)) | v130(constB131, bitIndex1))),
% 39.88/26.34 inference(rewrite,[status(thm)],[])).
% 39.88/26.34 tff(17348,plain,
% 39.88/26.34 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB131)) | v130(constB131, bitIndex1))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17349,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB131)) | v130(constB131, bitIndex1)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17348, 17347])).
% 39.88/26.35 tff(17350,plain,
% 39.88/26.35 (v130(constB131, bitIndex1)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17349, 2347, 17161])).
% 39.88/26.35 tff(17351,plain,
% 39.88/26.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17352,plain,
% 39.88/26.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17353,plain,
% 39.88/26.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17352, 17351])).
% 39.88/26.35 tff(17354,plain,
% 39.88/26.35 ((~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17353, 882, 17185])).
% 39.88/26.35 tff(17355,plain,
% 39.88/26.35 (v127(constB131, bitIndex1)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17354, 17350])).
% 39.88/26.35 tff(17356,plain,
% 39.88/26.35 (((~![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))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17357,plain,
% 39.88/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17358,plain,
% 39.88/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17357, 17356])).
% 39.88/26.35 tff(17359,plain,
% 39.88/26.35 ((~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17358, 897, 17189])).
% 39.88/26.35 tff(17360,plain,
% 39.88/26.35 (v129(constB132, bitIndex1)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17359, 17355])).
% 39.88/26.35 tff(17361,plain,
% 39.88/26.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17362,plain,
% 39.88/26.35 (((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex0)) | v100(constB132) | v90(constB132, bitIndex0)) <=> ((~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17363,plain,
% 39.88/26.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex0)) | v100(constB132) | v90(constB132, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0)))),
% 39.88/26.35 inference(monotonicity,[status(thm)],[17362])).
% 39.88/26.35 tff(17364,plain,
% 39.88/26.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex0)) | v100(constB132) | v90(constB132, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0))),
% 39.88/26.35 inference(transitivity,[status(thm)],[17363, 17361])).
% 39.88/26.35 tff(17365,plain,
% 39.88/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex0)) | v100(constB132) | v90(constB132, bitIndex0))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17366,plain,
% 39.88/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17365, 17364])).
% 39.88/26.35 tff(17367,plain,
% 39.88/26.35 ((~v90(constB131, bitIndex0)) | v100(constB132) | v90(constB132, bitIndex0)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17366, 649, 17189])).
% 39.88/26.35 tff(17368,plain,
% 39.88/26.35 (v100(constB132)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17367, 17315, 17042])).
% 39.88/26.35 tff(17369,plain,
% 39.88/26.35 (((~![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)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17370,plain,
% 39.88/26.35 ((v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1))) <=> (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17371,plain,
% 39.88/26.35 (((~![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))))),
% 39.88/26.35 inference(monotonicity,[status(thm)],[17370])).
% 39.88/26.35 tff(17372,plain,
% 39.88/26.35 (((~![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)))),
% 39.88/26.35 inference(transitivity,[status(thm)],[17371, 17369])).
% 39.88/26.35 tff(17373,plain,
% 39.88/26.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17374,plain,
% 39.88/26.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17373, 17372])).
% 39.88/26.35 tff(17375,plain,
% 39.88/26.35 (v90(constB132, bitIndex1)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17374, 912, 17368, 17360])).
% 39.88/26.35 tff(17376,plain,
% 39.88/26.35 (((~![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))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17377,plain,
% 39.88/26.35 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)) <=> ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17378,plain,
% 39.88/26.35 (((~![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)))),
% 39.88/26.35 inference(monotonicity,[status(thm)],[17377])).
% 39.88/26.35 tff(17379,plain,
% 39.88/26.35 (((~![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))),
% 39.88/26.35 inference(transitivity,[status(thm)],[17378, 17376])).
% 39.88/26.35 tff(17380,plain,
% 39.88/26.35 ((~![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))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17381,plain,
% 39.88/26.35 ((~![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)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17380, 17379])).
% 39.88/26.35 tff(17382,plain,
% 39.88/26.35 ((~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17381, 1049, 17321])).
% 39.88/26.35 tff(17383,plain,
% 39.88/26.35 ((~v90(constB132, bitIndex1)) | v90(constB133, bitIndex1)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17382, 17333])).
% 39.88/26.35 tff(17384,plain,
% 39.88/26.35 (v90(constB133, bitIndex1)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17383, 17375])).
% 39.88/26.35 tff(17385,plain,
% 39.88/26.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v123(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v123(constB133)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17386,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v123(constB133)))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17387,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v123(constB133))),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17386, 17385])).
% 39.88/26.35 tff(17388,plain,
% 39.88/26.35 (~v123(constB133)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17387, 2626, 17384])).
% 39.88/26.35 tff(17389,plain,
% 39.88/26.35 (v130(constB129, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17125, 2165, 16928])).
% 39.88/26.35 tff(17390,plain,
% 39.88/26.35 (v127(constB129, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17130, 17389])).
% 39.88/26.35 tff(17391,plain,
% 39.88/26.35 (v129(constB130, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17135, 17390])).
% 39.88/26.35 tff(17392,plain,
% 39.88/26.35 (v90(constB130, bitIndex2) | (~v100(constB130))),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17142, 2100, 17391])).
% 39.88/26.35 tff(17393,plain,
% 39.88/26.35 (v90(constB130, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17392, 16993])).
% 39.88/26.35 tff(17394,plain,
% 39.88/26.35 (v90(constB131, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17152, 17393])).
% 39.88/26.35 tff(17395,assumption,(~v90(constB132, bitIndex2)), introduced(assumption)).
% 39.88/26.35 tff(17396,assumption,(v90(constB131, bitIndex2)), introduced(assumption)).
% 39.88/26.35 tff(17397,plain,
% 39.88/26.35 (((~![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))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17398,plain,
% 39.88/26.35 (((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex2)) | v100(constB132) | v90(constB132, bitIndex2)) <=> ((~v90(constB131, bitIndex2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex2))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17399,plain,
% 39.88/26.35 (((~![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)))),
% 39.88/26.35 inference(monotonicity,[status(thm)],[17398])).
% 39.88/26.35 tff(17400,plain,
% 39.88/26.35 (((~![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))),
% 39.88/26.35 inference(transitivity,[status(thm)],[17399, 17397])).
% 39.88/26.35 tff(17401,plain,
% 39.88/26.35 ((~![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))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17402,plain,
% 39.88/26.35 ((~![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)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17401, 17400])).
% 39.88/26.35 tff(17403,plain,
% 39.88/26.35 ((~v90(constB131, bitIndex2)) | v100(constB132) | v90(constB132, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17402, 2118, 17189])).
% 39.88/26.35 tff(17404,plain,
% 39.88/26.35 (v100(constB132)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17403, 17396, 17395])).
% 39.88/26.35 tff(17405,assumption,(~v90(constB132, bitIndex0)), introduced(assumption)).
% 39.88/26.35 tff(17406,plain,
% 39.88/26.35 (((~![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)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17407,plain,
% 39.88/26.35 ((v90(constB132, bitIndex0) | (~v100(constB132)) | (~v129(constB132, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~v129(constB132, bitIndex0)) | (~v100(constB132)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17408,plain,
% 39.88/26.35 (((~![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))))),
% 39.88/26.35 inference(monotonicity,[status(thm)],[17407])).
% 39.88/26.35 tff(17409,plain,
% 39.88/26.35 (((~![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)))),
% 39.88/26.35 inference(transitivity,[status(thm)],[17408, 17406])).
% 39.88/26.35 tff(17410,plain,
% 39.88/26.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~v100(constB132)) | (~v129(constB132, bitIndex0)))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17411,plain,
% 39.88/26.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~v129(constB132, bitIndex0)) | (~v100(constB132))),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17410, 17409])).
% 39.88/26.35 tff(17412,plain,
% 39.88/26.35 ((~v129(constB132, bitIndex0)) | (~v100(constB132))),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17411, 631, 17405])).
% 39.88/26.35 tff(17413,plain,
% 39.88/26.35 (~v129(constB132, bitIndex0)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17412, 17404])).
% 39.88/26.35 tff(17414,plain,
% 39.88/26.35 (((~![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))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17415,plain,
% 39.88/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex0)) | v129(constB132, bitIndex0))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17416,plain,
% 39.88/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex0)) | v129(constB132, bitIndex0)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17415, 17414])).
% 39.88/26.35 tff(17417,plain,
% 39.88/26.35 ((~v127(constB131, bitIndex0)) | v129(constB132, bitIndex0)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17416, 616, 17189])).
% 39.88/26.35 tff(17418,plain,
% 39.88/26.35 (~v127(constB131, bitIndex0)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17417, 17413])).
% 39.88/26.35 tff(17419,plain,
% 39.88/26.35 ((~v130(constB131, bitIndex0)) | v127(constB131, bitIndex0)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17298, 601, 17185])).
% 39.88/26.35 tff(17420,plain,
% 39.88/26.35 (~v130(constB131, bitIndex0)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17419, 17418])).
% 39.88/26.35 tff(17421,plain,
% 39.88/26.35 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB131)) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB131)) | v130(constB131, bitIndex0))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17422,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB131)) | v130(constB131, bitIndex0))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17423,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB131)) | v130(constB131, bitIndex0)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17422, 17421])).
% 39.88/26.35 tff(17424,plain,
% 39.88/26.35 (~v123(constB131)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17423, 2258, 17420])).
% 39.88/26.35 tff(17425,plain,
% 39.88/26.35 (((~![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)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17426,plain,
% 39.88/26.35 ((v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2))) <=> (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17427,plain,
% 39.88/26.35 (((~![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))))),
% 39.88/26.35 inference(monotonicity,[status(thm)],[17426])).
% 39.88/26.35 tff(17428,plain,
% 39.88/26.35 (((~![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)))),
% 39.88/26.35 inference(transitivity,[status(thm)],[17427, 17425])).
% 39.88/26.35 tff(17429,plain,
% 39.88/26.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17430,plain,
% 39.88/26.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 39.88/26.35 tff(17431,plain,
% 39.88/26.35 ((~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17430, 2100, 17395])).
% 39.88/26.35 tff(17432,plain,
% 39.88/26.35 (~v129(constB132, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17431, 17404])).
% 39.88/26.35 tff(17433,plain,
% 39.88/26.35 (((~![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))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17434,plain,
% 39.88/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17435,plain,
% 39.88/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 39.88/26.35 tff(17436,plain,
% 39.88/26.35 ((~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17435, 1836, 17189])).
% 39.88/26.35 tff(17437,plain,
% 39.88/26.35 (~v127(constB131, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17436, 17432])).
% 39.88/26.35 tff(17438,plain,
% 39.88/26.35 (((~![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))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17439,plain,
% 39.88/26.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17440,plain,
% 39.88/26.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17439, 17438])).
% 39.88/26.35 tff(17441,plain,
% 39.88/26.35 ((~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17440, 1821, 17185])).
% 39.88/26.35 tff(17442,plain,
% 39.88/26.35 (~v130(constB131, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17441, 17437])).
% 39.88/26.35 tff(17443,plain,
% 39.88/26.35 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB131)) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB131)) | v130(constB131, bitIndex2))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17444,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB131)) | v130(constB131, bitIndex2))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17445,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB131)) | v130(constB131, bitIndex2)),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17444, 17443])).
% 39.88/26.35 tff(17446,plain,
% 39.88/26.35 (~v124(constB131)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17445, 2303, 17442])).
% 39.88/26.35 tff(17447,plain,
% 39.88/26.35 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB131)) | (~v90(constB131, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB131)) | (~v90(constB131, bitIndex2)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17448,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB131)) | (~v90(constB131, bitIndex2)))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17449,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB131)) | (~v90(constB131, bitIndex2))),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17448, 17447])).
% 39.88/26.35 tff(17450,plain,
% 39.88/26.35 (~v119(constB131)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17449, 8536, 17396])).
% 39.88/26.35 tff(17451,plain,
% 39.88/26.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB131, bitIndex2)) | (~v121(constB131)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB131, bitIndex2)) | (~v121(constB131)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17452,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB131, bitIndex2)) | (~v121(constB131)))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17453,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB131, bitIndex2)) | (~v121(constB131))),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17452, 17451])).
% 39.88/26.35 tff(17454,plain,
% 39.88/26.35 (~v121(constB131)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17453, 2586, 17396])).
% 39.88/26.35 tff(17455,plain,
% 39.88/26.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB131, bitIndex2)) | (~v122(constB131)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB131, bitIndex2)) | (~v122(constB131)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17456,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB131, bitIndex2)) | (~v122(constB131)))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17457,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB131, bitIndex2)) | (~v122(constB131))),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17456, 17455])).
% 39.88/26.35 tff(17458,plain,
% 39.88/26.35 (~v122(constB131)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17457, 3526, 17396])).
% 39.88/26.35 tff(17459,plain,
% 39.88/26.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB131, bitIndex2)) | (~v120(constB131)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB131, bitIndex2)) | (~v120(constB131)))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17460,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB131, bitIndex2)) | (~v120(constB131)))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17461,plain,
% 39.88/26.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB131, bitIndex2)) | (~v120(constB131))),
% 39.88/26.35 inference(modus_ponens,[status(thm)],[17460, 17459])).
% 39.88/26.35 tff(17462,plain,
% 39.88/26.35 (~v120(constB131)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17461, 3537, 17396])).
% 39.88/26.35 tff(17463,plain,
% 39.88/26.35 (v123(constB131) | v124(constB131)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17306, 2753, 17420, 17462, 17458, 17454, 17450])).
% 39.88/26.35 tff(17464,plain,
% 39.88/26.35 ($false),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17463, 17446, 17424])).
% 39.88/26.35 tff(17465,plain,((~v90(constB131, bitIndex2)) | v90(constB132, bitIndex2) | v90(constB132, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.35 tff(17466,plain,
% 39.88/26.35 (v90(constB132, bitIndex2)),
% 39.88/26.35 inference(unit_resolution,[status(thm)],[17465, 17315, 17394])).
% 39.88/26.35 tff(17467,plain,
% 39.88/26.35 (((~![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))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17468,plain,
% 39.88/26.35 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)) <=> ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 39.88/26.35 inference(rewrite,[status(thm)],[])).
% 39.88/26.35 tff(17469,plain,
% 39.88/26.35 (((~![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)))),
% 39.88/26.35 inference(monotonicity,[status(thm)],[17468])).
% 39.88/26.35 tff(17470,plain,
% 39.88/26.35 (((~![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))),
% 39.88/26.35 inference(transitivity,[status(thm)],[17469, 17467])).
% 39.88/26.35 tff(17471,plain,
% 39.88/26.35 ((~![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))),
% 39.88/26.35 inference(quant_inst,[status(thm)],[])).
% 39.88/26.35 tff(17472,plain,
% 39.88/26.35 ((~![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)),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17471, 17470])).
% 39.88/26.36 tff(17473,plain,
% 39.88/26.36 ((~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17472, 2118, 17321])).
% 39.88/26.36 tff(17474,plain,
% 39.88/26.36 ((~v90(constB132, bitIndex2)) | v90(constB133, bitIndex2)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17473, 17333])).
% 39.88/26.36 tff(17475,plain,
% 39.88/26.36 (v90(constB133, bitIndex2)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17474, 17466])).
% 39.88/26.36 tff(17476,plain,
% 39.88/26.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v122(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v122(constB133)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17477,plain,
% 39.88/26.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v122(constB133)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17478,plain,
% 39.88/26.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v122(constB133))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17477, 17476])).
% 39.88/26.36 tff(17479,plain,
% 39.88/26.36 (~v122(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17478, 3526, 17475])).
% 39.88/26.36 tff(17480,plain,
% 39.88/26.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v120(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v120(constB133)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17481,plain,
% 39.88/26.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v120(constB133)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17482,plain,
% 39.88/26.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v120(constB133))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17481, 17480])).
% 39.88/26.36 tff(17483,plain,
% 39.88/26.36 (~v120(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17482, 3537, 17475])).
% 39.88/26.36 tff(17484,plain,
% 39.88/26.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v121(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v121(constB133)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17485,plain,
% 39.88/26.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v121(constB133)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17486,plain,
% 39.88/26.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v121(constB133))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17485, 17484])).
% 39.88/26.36 tff(17487,plain,
% 39.88/26.36 (~v121(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17486, 2586, 17475])).
% 39.88/26.36 tff(17488,plain,
% 39.88/26.36 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB133)) | (~v90(constB133, bitIndex2)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17489,plain,
% 39.88/26.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex2)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17490,plain,
% 39.88/26.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB133)) | (~v90(constB133, bitIndex2))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17489, 17488])).
% 39.88/26.36 tff(17491,plain,
% 39.88/26.36 (~v119(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17490, 8536, 17475])).
% 39.88/26.36 tff(17492,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17493,plain,
% 39.88/26.36 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1))) <=> ((~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17494,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)))),
% 39.88/26.36 inference(monotonicity,[status(thm)],[17493])).
% 39.88/26.36 tff(17495,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 39.88/26.36 inference(transitivity,[status(thm)],[17494, 17492])).
% 39.88/26.36 tff(17496,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17497,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17496, 17495])).
% 39.88/26.36 tff(17498,plain,
% 39.88/26.36 (~v130(constB133, bitIndex1)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17497, 1562, 17491, 17487, 17483, 17479, 17388, 17346])).
% 39.88/26.36 tff(17499,assumption,(v127(constB133, bitIndex1)), introduced(assumption)).
% 39.88/26.36 tff(17500,assumption,(~v130(constB133, bitIndex1)), introduced(assumption)).
% 39.88/26.36 tff(17501,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17502,plain,
% 39.88/26.36 ((v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1))) <=> ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17503,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)))),
% 39.88/26.36 inference(monotonicity,[status(thm)],[17502])).
% 39.88/26.36 tff(17504,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 39.88/26.36 inference(transitivity,[status(thm)],[17503, 17501])).
% 39.88/26.36 tff(17505,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17506,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17505, 17504])).
% 39.88/26.36 tff(17507,plain,
% 39.88/26.36 ((~v127(constB133, bitIndex1)) | v26(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17506, 527, 17500])).
% 39.88/26.36 tff(17508,plain,
% 39.88/26.36 (v26(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17507, 17499])).
% 39.88/26.36 tff(17509,plain,
% 39.88/26.36 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB133)) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB133)) | (~v127(constB133, bitIndex1)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17510,plain,
% 39.88/26.36 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB133)) | (~v127(constB133, bitIndex1)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17511,plain,
% 39.88/26.36 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB133)) | (~v127(constB133, bitIndex1))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17510, 17509])).
% 39.88/26.36 tff(17512,plain,
% 39.88/26.36 ($false),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17511, 16020, 17499, 17508])).
% 39.88/26.36 tff(17513,plain,((~v127(constB133, bitIndex1)) | v130(constB133, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.36 tff(17514,plain,
% 39.88/26.36 (~v127(constB133, bitIndex1)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17513, 17498])).
% 39.88/26.36 tff(17515,plain,
% 39.88/26.36 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17516,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 39.88/26.36 tff(17517,plain,
% 39.88/26.36 (nextState(constB133, constB134)),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17516, 17515])).
% 39.88/26.36 tff(17518,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17519,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17520,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17519, 17518])).
% 39.88/26.36 tff(17521,plain,
% 39.88/26.36 (v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17520, 545, 17517])).
% 39.88/26.36 tff(17522,plain,
% 39.88/26.36 (~v129(constB134, bitIndex1)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17521, 17514])).
% 39.88/26.36 tff(17523,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17524,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17525,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133)),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17524, 17523])).
% 39.88/26.36 tff(17526,plain,
% 39.88/26.36 ((~v90(constB133, bitIndex1)) | v125(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17525, 1308, 17342, 17475])).
% 39.88/26.36 tff(17527,plain,
% 39.88/26.36 (v125(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17526, 17384])).
% 39.88/26.36 tff(17528,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB133) | (~v125(constB133)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB133) | (~v125(constB133)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17529,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB133) | (~v125(constB133)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17530,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB133) | (~v125(constB133))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17529, 17528])).
% 39.88/26.36 tff(17531,plain,
% 39.88/26.36 (v113(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17530, 1294, 17527])).
% 39.88/26.36 tff(17532,assumption,(~v108(constB133)), introduced(assumption)).
% 39.88/26.36 tff(17533,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17534,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17535,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17534, 17533])).
% 39.88/26.36 tff(17536,plain,
% 39.88/26.36 (~v112(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17535, 320, 17532])).
% 39.88/26.36 tff(17537,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB133) | (~v26(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB133) | (~v26(constB133)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17538,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB133) | (~v26(constB133)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17539,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB133) | (~v26(constB133))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17538, 17537])).
% 39.88/26.36 tff(17540,plain,
% 39.88/26.36 (~v26(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17539, 766, 17532])).
% 39.88/26.36 tff(17541,assumption,(v113(constB133)), introduced(assumption)).
% 39.88/26.36 tff(17542,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17543,plain,
% 39.88/26.36 ((v26(constB133) | (~v113(constB133)) | v112(constB133)) <=> (v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17544,plain,
% 39.88/26.36 (((~![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))))),
% 39.88/26.36 inference(monotonicity,[status(thm)],[17543])).
% 39.88/26.36 tff(17545,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(transitivity,[status(thm)],[17544, 17542])).
% 39.88/26.36 tff(17546,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17547,plain,
% 39.88/26.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17546, 17545])).
% 39.88/26.36 tff(17548,plain,
% 39.88/26.36 (v26(constB133) | v112(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17547, 308, 17541])).
% 39.88/26.36 tff(17549,plain,
% 39.88/26.36 ($false),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17548, 17540, 17536])).
% 39.88/26.36 tff(17550,plain,(v108(constB133) | (~v113(constB133))), inference(lemma,lemma(discharge,[]))).
% 39.88/26.36 tff(17551,plain,
% 39.88/26.36 (v108(constB133)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17550, 17531])).
% 39.88/26.36 tff(17552,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17553,plain,
% 39.88/26.36 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17554,plain,
% 39.88/26.36 (((~![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))))),
% 39.88/26.36 inference(monotonicity,[status(thm)],[17553])).
% 39.88/26.36 tff(17555,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(transitivity,[status(thm)],[17554, 17552])).
% 39.88/26.36 tff(17556,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17557,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17556, 17555])).
% 39.88/26.36 tff(17558,plain,
% 39.88/26.36 (v110(constB134) | (~v108(constB133))),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17557, 337, 17517])).
% 39.88/26.36 tff(17559,plain,
% 39.88/26.36 (v110(constB134)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17558, 17551])).
% 39.88/26.36 tff(17560,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17561,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17562,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17561, 17560])).
% 39.88/26.36 tff(17563,plain,
% 39.88/26.36 (~v104(constB134)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17562, 355, 17517, 17318])).
% 39.88/26.36 tff(17564,plain,
% 39.88/26.36 (((~![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))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17565,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17566,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17565, 17564])).
% 39.88/26.36 tff(17567,plain,
% 39.88/26.36 (v102(constB134) | v104(constB134)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17566, 369, 17517])).
% 39.88/26.36 tff(17568,plain,
% 39.88/26.36 (v102(constB134)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17567, 17563])).
% 39.88/26.36 tff(17569,plain,
% 39.88/26.36 (v1(constB134) <=> v1(constB134)),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17570,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 39.88/26.36 tff(17571,plain,
% 39.88/26.36 (v1(constB134)),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17570, 17569])).
% 39.88/26.36 tff(17572,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17573,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17574,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17573, 17572])).
% 39.88/26.36 tff(17575,plain,
% 39.88/26.36 (v101(constB134) | (~v102(constB134))),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17574, 387, 17517, 17571])).
% 39.88/26.36 tff(17576,plain,
% 39.88/26.36 (v101(constB134)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17575, 17568])).
% 39.88/26.36 tff(17577,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17578,plain,
% 39.88/26.36 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17579,plain,
% 39.88/26.36 (((~![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))))),
% 39.88/26.36 inference(monotonicity,[status(thm)],[17578])).
% 39.88/26.36 tff(17580,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(transitivity,[status(thm)],[17579, 17577])).
% 39.88/26.36 tff(17581,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17582,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17581, 17580])).
% 39.88/26.36 tff(17583,plain,
% 39.88/26.36 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17582, 402, 17517])).
% 39.88/26.36 tff(17584,plain,
% 39.88/26.36 (v100(constB134) | (~v110(constB134))),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17583, 17576])).
% 39.88/26.36 tff(17585,plain,
% 39.88/26.36 (v100(constB134)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17584, 17559])).
% 39.88/26.36 tff(17586,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17587,plain,
% 39.88/26.36 (((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1)) <=> ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17588,plain,
% 39.88/26.36 (((~![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))))),
% 39.88/26.36 inference(monotonicity,[status(thm)],[17587])).
% 39.88/26.36 tff(17589,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(transitivity,[status(thm)],[17588, 17586])).
% 39.88/26.36 tff(17590,plain,
% 39.88/26.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17591,plain,
% 39.88/26.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17590, 17589])).
% 39.88/26.36 tff(17592,plain,
% 39.88/26.36 (~v90(constB134, bitIndex1)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17591, 560, 17585, 17522])).
% 39.88/26.36 tff(17593,plain,
% 39.88/26.36 ((~v1(constB135)) <=> (~v1(constB135))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17594,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 39.88/26.36 tff(17595,plain,
% 39.88/26.36 (~v1(constB135)),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17594, 17593])).
% 39.88/26.36 tff(17596,plain,
% 39.88/26.36 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17597,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 39.88/26.36 tff(17598,plain,
% 39.88/26.36 (nextState(constB134, constB135)),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17597, 17596])).
% 39.88/26.36 tff(17599,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17600,plain,
% 39.88/26.36 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17601,plain,
% 39.88/26.36 (((~![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))))),
% 39.88/26.36 inference(monotonicity,[status(thm)],[17600])).
% 39.88/26.36 tff(17602,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(transitivity,[status(thm)],[17601, 17599])).
% 39.88/26.36 tff(17603,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17604,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17603, 17602])).
% 39.88/26.36 tff(17605,plain,
% 39.88/26.36 (~v101(constB135)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17604, 133, 17598, 17595])).
% 39.88/26.36 tff(17606,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17607,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17608,plain,
% 39.88/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17607, 17606])).
% 39.88/26.36 tff(17609,plain,
% 39.88/26.36 (v101(constB135) | (~v100(constB135))),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17608, 150, 17598])).
% 39.88/26.36 tff(17610,plain,
% 39.88/26.36 (~v100(constB135)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17609, 17605])).
% 39.88/26.36 tff(17611,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17612,plain,
% 39.88/26.36 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))) <=> (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17613,plain,
% 39.88/26.36 (((~![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))))),
% 39.88/26.36 inference(monotonicity,[status(thm)],[17612])).
% 39.88/26.36 tff(17614,plain,
% 39.88/26.36 (((~![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)))),
% 39.88/26.36 inference(transitivity,[status(thm)],[17613, 17611])).
% 39.88/26.36 tff(17615,plain,
% 39.88/26.36 ((~![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)))),
% 39.88/26.36 inference(quant_inst,[status(thm)],[])).
% 39.88/26.36 tff(17616,plain,
% 39.88/26.36 ((~![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))),
% 39.88/26.36 inference(modus_ponens,[status(thm)],[17615, 17614])).
% 39.88/26.36 tff(17617,plain,
% 39.88/26.36 (v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17616, 186, 17598])).
% 39.88/26.36 tff(17618,plain,
% 39.88/26.36 (v90(constB134, bitIndex1) | (~v90(constB135, bitIndex1))),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17617, 17610])).
% 39.88/26.36 tff(17619,plain,
% 39.88/26.36 (~v90(constB135, bitIndex1)),
% 39.88/26.36 inference(unit_resolution,[status(thm)],[17618, 17592])).
% 39.88/26.36 tff(17620,plain,
% 39.88/26.36 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 39.88/26.36 inference(rewrite,[status(thm)],[])).
% 39.88/26.36 tff(17621,plain,
% 39.88/26.36 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2))) <=> ((~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17622,plain,
% 39.88/26.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)))),
% 39.88/26.37 inference(monotonicity,[status(thm)],[17621])).
% 39.88/26.37 tff(17623,plain,
% 39.88/26.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 39.88/26.37 inference(transitivity,[status(thm)],[17622, 17620])).
% 39.88/26.37 tff(17624,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17625,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17624, 17623])).
% 39.88/26.37 tff(17626,plain,
% 39.88/26.37 (~v130(constB133, bitIndex2)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17625, 1993, 17491, 17487, 17483, 17479, 17388, 17346])).
% 39.88/26.37 tff(17627,assumption,(v127(constB133, bitIndex2)), introduced(assumption)).
% 39.88/26.37 tff(17628,assumption,(~v130(constB133, bitIndex2)), introduced(assumption)).
% 39.88/26.37 tff(17629,plain,
% 39.88/26.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17630,plain,
% 39.88/26.37 ((v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2))) <=> ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17631,plain,
% 39.88/26.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)))),
% 39.88/26.37 inference(monotonicity,[status(thm)],[17630])).
% 39.88/26.37 tff(17632,plain,
% 39.88/26.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 39.88/26.37 inference(transitivity,[status(thm)],[17631, 17629])).
% 39.88/26.37 tff(17633,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17634,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17633, 17632])).
% 39.88/26.37 tff(17635,plain,
% 39.88/26.37 ((~v127(constB133, bitIndex2)) | v26(constB133)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17634, 435, 17628])).
% 39.88/26.37 tff(17636,plain,
% 39.88/26.37 (v26(constB133)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17635, 17627])).
% 39.88/26.37 tff(17637,plain,
% 39.88/26.37 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB133)) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB133)) | (~v127(constB133, bitIndex2)))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17638,plain,
% 39.88/26.37 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB133)) | (~v127(constB133, bitIndex2)))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17639,plain,
% 39.88/26.37 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB133)) | (~v127(constB133, bitIndex2))),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17638, 17637])).
% 39.88/26.37 tff(17640,plain,
% 39.88/26.37 ($false),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17639, 1452, 17627, 17636])).
% 39.88/26.37 tff(17641,plain,((~v127(constB133, bitIndex2)) | v130(constB133, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.37 tff(17642,plain,
% 39.88/26.37 (~v127(constB133, bitIndex2)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17641, 17626])).
% 39.88/26.37 tff(17643,plain,
% 39.88/26.37 (((~![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)))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17644,plain,
% 39.88/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17645,plain,
% 39.88/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17644, 17643])).
% 39.88/26.37 tff(17646,plain,
% 39.88/26.37 (v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17645, 453, 17517])).
% 39.88/26.37 tff(17647,plain,
% 39.88/26.37 (~v129(constB134, bitIndex2)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17646, 17642])).
% 39.88/26.37 tff(17648,plain,
% 39.88/26.37 (((~![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)))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17649,plain,
% 39.88/26.37 (((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2)) <=> ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17650,plain,
% 39.88/26.37 (((~![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))))),
% 39.88/26.37 inference(monotonicity,[status(thm)],[17649])).
% 39.88/26.37 tff(17651,plain,
% 39.88/26.37 (((~![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)))),
% 39.88/26.37 inference(transitivity,[status(thm)],[17650, 17648])).
% 39.88/26.37 tff(17652,plain,
% 39.88/26.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17653,plain,
% 39.88/26.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134))),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17652, 17651])).
% 39.88/26.37 tff(17654,plain,
% 39.88/26.37 (~v90(constB134, bitIndex2)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17653, 468, 17585, 17647])).
% 39.88/26.37 tff(17655,plain,
% 39.88/26.37 (((~![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)))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17656,plain,
% 39.88/26.37 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))) <=> (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17657,plain,
% 39.88/26.37 (((~![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))))),
% 39.88/26.37 inference(monotonicity,[status(thm)],[17656])).
% 39.88/26.37 tff(17658,plain,
% 39.88/26.37 (((~![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)))),
% 39.88/26.37 inference(transitivity,[status(thm)],[17657, 17655])).
% 39.88/26.37 tff(17659,plain,
% 39.88/26.37 ((~![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)))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17660,plain,
% 39.88/26.37 ((~![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))),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17659, 17658])).
% 39.88/26.37 tff(17661,plain,
% 39.88/26.37 (v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17660, 165, 17598])).
% 39.88/26.37 tff(17662,plain,
% 39.88/26.37 (v90(constB134, bitIndex2) | (~v90(constB135, bitIndex2))),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17661, 17610])).
% 39.88/26.37 tff(17663,plain,
% 39.88/26.37 (~v90(constB135, bitIndex2)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17662, 17654])).
% 39.88/26.37 tff(17664,assumption,(~v130(constB133, bitIndex0)), introduced(assumption)).
% 39.88/26.37 tff(17665,plain,
% 39.88/26.37 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB133)) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB133)) | v130(constB133, bitIndex0))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17666,plain,
% 39.88/26.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB133)) | v130(constB133, bitIndex0))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17667,plain,
% 39.88/26.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB133)) | v130(constB133, bitIndex0)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17666, 17665])).
% 39.88/26.37 tff(17668,plain,
% 39.88/26.37 (~v119(constB133)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17667, 587, 17664])).
% 39.88/26.37 tff(17669,plain,
% 39.88/26.37 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB133)) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB133)) | v130(constB133, bitIndex0))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17670,plain,
% 39.88/26.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB133)) | v130(constB133, bitIndex0))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17671,plain,
% 39.88/26.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB133)) | v130(constB133, bitIndex0)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17670, 17669])).
% 39.88/26.37 tff(17672,plain,
% 39.88/26.37 (~v123(constB133)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17671, 2258, 17664])).
% 39.88/26.37 tff(17673,assumption,(~v121(constB133)), introduced(assumption)).
% 39.88/26.37 tff(17674,assumption,(~v90(constB133, bitIndex0)), introduced(assumption)).
% 39.88/26.37 tff(17675,assumption,(~v90(constB133, bitIndex2)), introduced(assumption)).
% 39.88/26.37 tff(17676,plain,
% 39.88/26.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex2) | v121(constB133))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex2) | v121(constB133))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17677,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex2) | v121(constB133))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17678,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex2) | v121(constB133)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17677, 17676])).
% 39.88/26.37 tff(17679,plain,
% 39.88/26.37 (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex2)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17678, 996, 17673])).
% 39.88/26.37 tff(17680,plain,
% 39.88/26.37 (~v90(constB133, bitIndex1)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17679, 17674, 17675])).
% 39.88/26.37 tff(17681,assumption,(~v119(constB133)), introduced(assumption)).
% 39.88/26.37 tff(17682,plain,
% 39.88/26.37 (((~![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))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17683,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB133) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17684,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB133) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 39.88/26.37 tff(17685,plain,
% 39.88/26.37 (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17684, 228, 17681])).
% 39.88/26.37 tff(17686,plain,
% 39.88/26.37 ($false),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17685, 17680, 17674, 17675])).
% 39.88/26.37 tff(17687,plain,(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | v119(constB133) | v121(constB133)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.37 tff(17688,plain,
% 39.88/26.37 (v90(constB133, bitIndex2)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17687, 17674, 17673, 17668])).
% 39.88/26.37 tff(17689,plain,
% 39.88/26.37 (((~![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))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17690,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17691,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17690, 17689])).
% 39.88/26.37 tff(17692,plain,
% 39.88/26.37 (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2))),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17691, 1280, 17672])).
% 39.88/26.37 tff(17693,plain,
% 39.88/26.37 (v90(constB133, bitIndex1)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17692, 17674, 17688])).
% 39.88/26.37 tff(17694,plain,
% 39.88/26.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v120(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v120(constB133)))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17695,plain,
% 39.88/26.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v120(constB133)))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17696,plain,
% 39.88/26.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v120(constB133))),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17695, 17694])).
% 39.88/26.37 tff(17697,plain,
% 39.88/26.37 (~v120(constB133)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17696, 2615, 17693])).
% 39.88/26.37 tff(17698,plain,
% 39.88/26.37 (~v122(constB133)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17478, 3526, 17688])).
% 39.88/26.37 tff(17699,assumption,(~v124(constB133)), introduced(assumption)).
% 39.88/26.37 tff(17700,plain,
% 39.88/26.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17701,plain,
% 39.88/26.37 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0)) <=> (v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17702,plain,
% 39.88/26.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)))),
% 39.88/26.37 inference(monotonicity,[status(thm)],[17701])).
% 39.88/26.37 tff(17703,plain,
% 39.88/26.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 39.88/26.37 inference(transitivity,[status(thm)],[17702, 17700])).
% 39.88/26.37 tff(17704,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17705,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17704, 17703])).
% 39.88/26.37 tff(17706,plain,
% 39.88/26.37 (v130(constB133, bitIndex0) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17705, 2753, 17699])).
% 39.88/26.37 tff(17707,plain,
% 39.88/26.37 ($false),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17706, 17698, 17697, 17673, 17664, 17672, 17668])).
% 39.88/26.37 tff(17708,plain,(v90(constB133, bitIndex0) | v121(constB133) | v130(constB133, bitIndex0) | v124(constB133)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.37 tff(17709,plain,
% 39.88/26.37 (v130(constB133, bitIndex0)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17708, 17487, 17342, 17346])).
% 39.88/26.37 tff(17710,assumption,(v26(constB133)), introduced(assumption)).
% 39.88/26.37 tff(17711,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17712,plain,
% 39.88/26.37 ($false),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17711, 86, 17710])).
% 39.88/26.37 tff(17713,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.37 tff(17714,plain,
% 39.88/26.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17715,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17716,plain,
% 39.88/26.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17715, 17714])).
% 39.88/26.37 tff(17717,plain,
% 39.88/26.37 ((~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17716, 601, 17713])).
% 39.88/26.37 tff(17718,plain,
% 39.88/26.37 (v127(constB133, bitIndex0)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17717, 17709])).
% 39.88/26.37 tff(17719,plain,
% 39.88/26.37 (((~![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))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17720,plain,
% 39.88/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17721,plain,
% 39.88/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17720, 17719])).
% 39.88/26.37 tff(17722,plain,
% 39.88/26.37 ((~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17721, 616, 17517])).
% 39.88/26.37 tff(17723,plain,
% 39.88/26.37 (v129(constB134, bitIndex0)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17722, 17718])).
% 39.88/26.37 tff(17724,plain,
% 39.88/26.37 (((~![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)))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17725,plain,
% 39.88/26.37 ((v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17726,plain,
% 39.88/26.37 (((~![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))))),
% 39.88/26.37 inference(monotonicity,[status(thm)],[17725])).
% 39.88/26.37 tff(17727,plain,
% 39.88/26.37 (((~![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)))),
% 39.88/26.37 inference(transitivity,[status(thm)],[17726, 17724])).
% 39.88/26.37 tff(17728,plain,
% 39.88/26.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17729,plain,
% 39.88/26.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17728, 17727])).
% 39.88/26.37 tff(17730,plain,
% 39.88/26.37 (v90(constB134, bitIndex0) | (~v100(constB134))),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17729, 631, 17723])).
% 39.88/26.37 tff(17731,plain,
% 39.88/26.37 (v90(constB134, bitIndex0)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17730, 17585])).
% 39.88/26.37 tff(17732,plain,
% 39.88/26.37 (((~![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))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17733,plain,
% 39.88/26.37 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17734,plain,
% 39.88/26.37 (((~![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)))),
% 39.88/26.37 inference(monotonicity,[status(thm)],[17733])).
% 39.88/26.37 tff(17735,plain,
% 39.88/26.37 (((~![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))),
% 39.88/26.37 inference(transitivity,[status(thm)],[17734, 17732])).
% 39.88/26.37 tff(17736,plain,
% 39.88/26.37 ((~![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))),
% 39.88/26.37 inference(quant_inst,[status(thm)],[])).
% 39.88/26.37 tff(17737,plain,
% 39.88/26.37 ((~![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)),
% 39.88/26.37 inference(modus_ponens,[status(thm)],[17736, 17735])).
% 39.88/26.37 tff(17738,plain,
% 39.88/26.37 ((~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17737, 649, 17598])).
% 39.88/26.37 tff(17739,plain,
% 39.88/26.37 ((~v90(constB134, bitIndex0)) | v90(constB135, bitIndex0)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17738, 17610])).
% 39.88/26.37 tff(17740,plain,
% 39.88/26.37 (v90(constB135, bitIndex0)),
% 39.88/26.37 inference(unit_resolution,[status(thm)],[17739, 17731])).
% 39.88/26.37 tff(17741,plain,
% 39.88/26.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.37 tff(17742,plain,
% 39.88/26.37 (((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)) <=> ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 39.88/26.37 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17743,plain,
% 39.88/26.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)))),
% 39.88/26.38 inference(monotonicity,[status(thm)],[17742])).
% 39.88/26.38 tff(17744,plain,
% 39.88/26.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 39.88/26.38 inference(transitivity,[status(thm)],[17743, 17741])).
% 39.88/26.38 tff(17745,plain,
% 39.88/26.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17746,plain,
% 39.88/26.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17745, 17744])).
% 39.88/26.38 tff(17747,plain,
% 39.88/26.38 (v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17746, 668, 17740])).
% 39.88/26.38 tff(17748,plain,
% 39.88/26.38 (v120(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17747, 17663, 17619])).
% 39.88/26.38 tff(17749,plain,
% 39.88/26.38 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17750,plain,
% 39.88/26.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17751,plain,
% 39.88/26.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17750, 17749])).
% 39.88/26.38 tff(17752,plain,
% 39.88/26.38 (~v130(constB135, bitIndex2)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17751, 685, 17748])).
% 39.88/26.38 tff(17753,assumption,(v26(constB135)), introduced(assumption)).
% 39.88/26.38 tff(17754,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17755,plain,
% 39.88/26.38 ($false),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17754, 86, 17753])).
% 39.88/26.38 tff(17756,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.38 tff(17757,plain,
% 39.88/26.38 (((~![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))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17758,plain,
% 39.88/26.38 ((v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2))) <=> ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17759,plain,
% 39.88/26.38 (((~![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)))),
% 39.88/26.38 inference(monotonicity,[status(thm)],[17758])).
% 39.88/26.38 tff(17760,plain,
% 39.88/26.38 (((~![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))),
% 39.88/26.38 inference(transitivity,[status(thm)],[17759, 17757])).
% 39.88/26.38 tff(17761,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17762,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17761, 17760])).
% 39.88/26.38 tff(17763,plain,
% 39.88/26.38 ((~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17762, 435, 17756])).
% 39.88/26.38 tff(17764,plain,
% 39.88/26.38 (~v127(constB135, bitIndex2)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17763, 17752])).
% 39.88/26.38 tff(17765,plain,
% 39.88/26.38 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17766,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 39.88/26.38 tff(17767,plain,
% 39.88/26.38 (nextState(constB135, constB136)),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17766, 17765])).
% 39.88/26.38 tff(17768,plain,
% 39.88/26.38 (((~![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)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17769,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17770,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17769, 17768])).
% 39.88/26.38 tff(17771,plain,
% 39.88/26.38 (v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17770, 453, 17767])).
% 39.88/26.38 tff(17772,plain,
% 39.88/26.38 (~v129(constB136, bitIndex2)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17771, 17764])).
% 39.88/26.38 tff(17773,assumption,(~v100(constB136)), introduced(assumption)).
% 39.88/26.38 tff(17774,assumption,(~v90(constB136, bitIndex1)), introduced(assumption)).
% 39.88/26.38 tff(17775,plain,
% 39.88/26.38 (((~![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)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17776,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17777,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17776, 17775])).
% 39.88/26.38 tff(17778,plain,
% 39.88/26.38 (~v104(constB136)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17777, 355, 17767, 17595])).
% 39.88/26.38 tff(17779,plain,
% 39.88/26.38 (((~![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))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17780,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17781,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17780, 17779])).
% 39.88/26.38 tff(17782,plain,
% 39.88/26.38 (v102(constB136) | v104(constB136)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17781, 369, 17767])).
% 39.88/26.38 tff(17783,plain,
% 39.88/26.38 (v102(constB136)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17782, 17778])).
% 39.88/26.38 tff(17784,plain,
% 39.88/26.38 (v1(constB136) <=> v1(constB136)),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17785,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 39.88/26.38 tff(17786,plain,
% 39.88/26.38 (v1(constB136)),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17785, 17784])).
% 39.88/26.38 tff(17787,plain,
% 39.88/26.38 (((~![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)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17788,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17789,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17788, 17787])).
% 39.88/26.38 tff(17790,plain,
% 39.88/26.38 (v101(constB136) | (~v102(constB136))),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17789, 387, 17767, 17786])).
% 39.88/26.38 tff(17791,plain,
% 39.88/26.38 (v101(constB136)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17790, 17783])).
% 39.88/26.38 tff(17792,plain,
% 39.88/26.38 (((~![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)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17793,plain,
% 39.88/26.38 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17794,plain,
% 39.88/26.38 (((~![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))))),
% 39.88/26.38 inference(monotonicity,[status(thm)],[17793])).
% 39.88/26.38 tff(17795,plain,
% 39.88/26.38 (((~![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)))),
% 39.88/26.38 inference(transitivity,[status(thm)],[17794, 17792])).
% 39.88/26.38 tff(17796,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17797,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17796, 17795])).
% 39.88/26.38 tff(17798,plain,
% 39.88/26.38 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17797, 402, 17767])).
% 39.88/26.38 tff(17799,plain,
% 39.88/26.38 (v100(constB136) | (~v110(constB136))),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17798, 17791])).
% 39.88/26.38 tff(17800,plain,
% 39.88/26.38 (~v110(constB136)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17799, 17773])).
% 39.88/26.38 tff(17801,plain,
% 39.88/26.38 (((~![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)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17802,plain,
% 39.88/26.38 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17803,plain,
% 39.88/26.38 (((~![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))))),
% 39.88/26.38 inference(monotonicity,[status(thm)],[17802])).
% 39.88/26.38 tff(17804,plain,
% 39.88/26.38 (((~![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)))),
% 39.88/26.38 inference(transitivity,[status(thm)],[17803, 17801])).
% 39.88/26.38 tff(17805,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17806,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17805, 17804])).
% 39.88/26.38 tff(17807,plain,
% 39.88/26.38 (v110(constB136) | (~v108(constB135))),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17806, 337, 17767])).
% 39.88/26.38 tff(17808,plain,
% 39.88/26.38 (~v108(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17807, 17800])).
% 39.88/26.38 tff(17809,plain,
% 39.88/26.38 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17810,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17811,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17810, 17809])).
% 39.88/26.38 tff(17812,plain,
% 39.88/26.38 (~v112(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17811, 320, 17808])).
% 39.88/26.38 tff(17813,plain,
% 39.88/26.38 (((~![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))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17814,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17815,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135)),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17814, 17813])).
% 39.88/26.38 tff(17816,plain,
% 39.88/26.38 ((~v113(constB135)) | v112(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17815, 308, 17756])).
% 39.88/26.38 tff(17817,plain,
% 39.88/26.38 (~v113(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17816, 17812])).
% 39.88/26.38 tff(17818,plain,
% 39.88/26.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB135) | (~v114(constB135)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB135) | (~v114(constB135)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17819,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB135) | (~v114(constB135)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17820,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB135) | (~v114(constB135))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17819, 17818])).
% 39.88/26.38 tff(17821,plain,
% 39.88/26.38 (~v114(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17820, 294, 17817])).
% 39.88/26.38 tff(17822,plain,
% 39.88/26.38 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB135) | (~v115(constB135)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17823,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB135) | (~v115(constB135)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17824,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB135) | (~v115(constB135))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17823, 17822])).
% 39.88/26.38 tff(17825,plain,
% 39.88/26.38 (~v115(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17824, 283, 17821])).
% 39.88/26.38 tff(17826,plain,
% 39.88/26.38 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB135) | (~v116(constB135)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB135) | (~v116(constB135)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17827,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB135) | (~v116(constB135)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17828,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB135) | (~v116(constB135))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17827, 17826])).
% 39.88/26.38 tff(17829,plain,
% 39.88/26.38 (~v116(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17828, 272, 17825])).
% 39.88/26.38 tff(17830,plain,
% 39.88/26.38 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB135) | (~v117(constB135)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB135) | (~v117(constB135)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17831,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB135) | (~v117(constB135)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17832,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB135) | (~v117(constB135))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17831, 17830])).
% 39.88/26.38 tff(17833,plain,
% 39.88/26.38 (~v117(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17832, 261, 17829])).
% 39.88/26.38 tff(17834,plain,
% 39.88/26.38 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB135) | (~v118(constB135)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB135) | (~v118(constB135)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17835,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB135) | (~v118(constB135)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17836,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB135) | (~v118(constB135))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17835, 17834])).
% 39.88/26.38 tff(17837,plain,
% 39.88/26.38 (~v118(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17836, 250, 17833])).
% 39.88/26.38 tff(17838,plain,
% 39.88/26.38 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB135) | (~v120(constB135)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB135) | (~v120(constB135)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17839,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB135) | (~v120(constB135)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17840,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB135) | (~v120(constB135))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17839, 17838])).
% 39.88/26.38 tff(17841,plain,
% 39.88/26.38 (~v120(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17840, 778, 17837])).
% 39.88/26.38 tff(17842,plain,
% 39.88/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17843,plain,
% 39.88/26.38 (((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex1)) | v100(constB136) | v90(constB136, bitIndex1)) <=> ((~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17844,plain,
% 39.88/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex1)) | v100(constB136) | v90(constB136, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1)))),
% 39.88/26.38 inference(monotonicity,[status(thm)],[17843])).
% 39.88/26.38 tff(17845,plain,
% 39.88/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex1)) | v100(constB136) | v90(constB136, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1))),
% 39.88/26.38 inference(transitivity,[status(thm)],[17844, 17842])).
% 39.88/26.38 tff(17846,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex1)) | v100(constB136) | v90(constB136, bitIndex1))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17847,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1)),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17846, 17845])).
% 39.88/26.38 tff(17848,plain,
% 39.88/26.38 ((~v90(constB135, bitIndex1)) | v100(constB136) | v90(constB136, bitIndex1)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17847, 1049, 17767])).
% 39.88/26.38 tff(17849,plain,
% 39.88/26.38 (~v90(constB135, bitIndex1)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17848, 17774, 17773])).
% 39.88/26.38 tff(17850,plain,
% 39.88/26.38 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB135) | (~v119(constB135)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB135) | (~v119(constB135)))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17851,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB135) | (~v119(constB135)))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17852,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB135) | (~v119(constB135))),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17851, 17850])).
% 39.88/26.38 tff(17853,plain,
% 39.88/26.38 (~v119(constB135)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17852, 239, 17837])).
% 39.88/26.38 tff(17854,assumption,(~v90(constB136, bitIndex2)), introduced(assumption)).
% 39.88/26.38 tff(17855,assumption,(~v119(constB135)), introduced(assumption)).
% 39.88/26.38 tff(17856,plain,
% 39.88/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17857,plain,
% 39.88/26.38 (((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2)) <=> ((~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17858,plain,
% 39.88/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2)))),
% 39.88/26.38 inference(monotonicity,[status(thm)],[17857])).
% 39.88/26.38 tff(17859,plain,
% 39.88/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))),
% 39.88/26.38 inference(transitivity,[status(thm)],[17858, 17856])).
% 39.88/26.38 tff(17860,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17861,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2)),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17860, 17859])).
% 39.88/26.38 tff(17862,plain,
% 39.88/26.38 ((~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17861, 2118, 17767])).
% 39.88/26.38 tff(17863,plain,
% 39.88/26.38 (~v90(constB135, bitIndex2)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17862, 17773, 17854])).
% 39.88/26.38 tff(17864,plain,
% 39.88/26.38 (~v90(constB135, bitIndex1)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17848, 17773, 17774])).
% 39.88/26.38 tff(17865,assumption,(~v90(constB136, bitIndex0)), introduced(assumption)).
% 39.88/26.38 tff(17866,plain,
% 39.88/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17867,plain,
% 39.88/26.38 (((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0)) <=> ((~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17868,plain,
% 39.88/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0)))),
% 39.88/26.38 inference(monotonicity,[status(thm)],[17867])).
% 39.88/26.38 tff(17869,plain,
% 39.88/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))),
% 39.88/26.38 inference(transitivity,[status(thm)],[17868, 17866])).
% 39.88/26.38 tff(17870,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0))),
% 39.88/26.38 inference(quant_inst,[status(thm)],[])).
% 39.88/26.38 tff(17871,plain,
% 39.88/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0)),
% 39.88/26.38 inference(modus_ponens,[status(thm)],[17870, 17869])).
% 39.88/26.38 tff(17872,plain,
% 39.88/26.38 ((~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17871, 649, 17767])).
% 39.88/26.38 tff(17873,plain,
% 39.88/26.38 (~v90(constB135, bitIndex0)),
% 39.88/26.38 inference(unit_resolution,[status(thm)],[17872, 17773, 17865])).
% 39.88/26.38 tff(17874,plain,
% 39.88/26.38 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB135) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB135) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))),
% 39.88/26.38 inference(rewrite,[status(thm)],[])).
% 39.88/26.38 tff(17875,plain,
% 39.88/26.38 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB135) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17876,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB135) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17875, 17874])).
% 39.88/26.39 tff(17877,plain,
% 39.88/26.39 ($false),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17876, 228, 17873, 17864, 17863, 17855])).
% 39.88/26.39 tff(17878,plain,(v100(constB136) | v119(constB135) | v90(constB136, bitIndex2) | v90(constB136, bitIndex1) | v90(constB136, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.39 tff(17879,plain,
% 39.88/26.39 (v90(constB136, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17878, 17774, 17854, 17773, 17853])).
% 39.88/26.39 tff(17880,plain,
% 39.88/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17881,plain,
% 39.88/26.39 (((~nextState(constB135, constB136)) | v90(constB135, bitIndex0) | v100(constB136) | (~v90(constB136, bitIndex0))) <=> (v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17882,plain,
% 39.88/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex0) | v100(constB136) | (~v90(constB136, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0))))),
% 39.88/26.39 inference(monotonicity,[status(thm)],[17881])).
% 39.88/26.39 tff(17883,plain,
% 39.88/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex0) | v100(constB136) | (~v90(constB136, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0)))),
% 39.88/26.39 inference(transitivity,[status(thm)],[17882, 17880])).
% 39.88/26.39 tff(17884,plain,
% 39.88/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex0) | v100(constB136) | (~v90(constB136, bitIndex0)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17885,plain,
% 39.88/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17884, 17883])).
% 39.88/26.39 tff(17886,plain,
% 39.88/26.39 (v90(constB135, bitIndex0) | v100(constB136) | (~v90(constB136, bitIndex0))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17885, 207, 17767])).
% 39.88/26.39 tff(17887,plain,
% 39.88/26.39 (v90(constB135, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17886, 17879, 17773])).
% 39.88/26.39 tff(17888,plain,
% 39.88/26.39 ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v120(constB135)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17746, 668, 17863])).
% 39.88/26.39 tff(17889,plain,
% 39.88/26.39 ($false),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17888, 17887, 17849, 17841])).
% 39.88/26.39 tff(17890,plain,(v90(constB136, bitIndex1) | v100(constB136) | v90(constB136, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.39 tff(17891,plain,
% 39.88/26.39 (v90(constB136, bitIndex2)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17890, 17774, 17773])).
% 39.88/26.39 tff(17892,plain,
% 39.88/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17893,plain,
% 39.88/26.39 (((~nextState(constB135, constB136)) | v90(constB135, bitIndex2) | v100(constB136) | (~v90(constB136, bitIndex2))) <=> (v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17894,plain,
% 39.88/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex2) | v100(constB136) | (~v90(constB136, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2))))),
% 39.88/26.39 inference(monotonicity,[status(thm)],[17893])).
% 39.88/26.39 tff(17895,plain,
% 39.88/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex2) | v100(constB136) | (~v90(constB136, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2)))),
% 39.88/26.39 inference(transitivity,[status(thm)],[17894, 17892])).
% 39.88/26.39 tff(17896,plain,
% 39.88/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex2) | v100(constB136) | (~v90(constB136, bitIndex2)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17897,plain,
% 39.88/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17896, 17895])).
% 39.88/26.39 tff(17898,plain,
% 39.88/26.39 (v90(constB135, bitIndex2) | v100(constB136) | (~v90(constB136, bitIndex2))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17897, 165, 17767])).
% 39.88/26.39 tff(17899,plain,
% 39.88/26.39 (v90(constB135, bitIndex2)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17898, 17891, 17773])).
% 39.88/26.39 tff(17900,plain,
% 39.88/26.39 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB135) | (~v124(constB135)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB135) | (~v124(constB135)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17901,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB135) | (~v124(constB135)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17902,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB135) | (~v124(constB135))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17901, 17900])).
% 39.88/26.39 tff(17903,plain,
% 39.88/26.39 (~v124(constB135)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17902, 1236, 17821])).
% 39.88/26.39 tff(17904,plain,
% 39.88/26.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v124(constB135))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v124(constB135))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17905,plain,
% 39.88/26.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v124(constB135))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17906,plain,
% 39.88/26.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v124(constB135)),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17905, 17904])).
% 39.88/26.39 tff(17907,plain,
% 39.88/26.39 ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17906, 1264, 17903])).
% 39.88/26.39 tff(17908,plain,
% 39.88/26.39 (~v90(constB135, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17907, 17849, 17899])).
% 39.88/26.39 tff(17909,plain,
% 39.88/26.39 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB135) | (~v123(constB135)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB135) | (~v123(constB135)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17910,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB135) | (~v123(constB135)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17911,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB135) | (~v123(constB135))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17910, 17909])).
% 39.88/26.39 tff(17912,plain,
% 39.88/26.39 (~v123(constB135)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17911, 1247, 17825])).
% 39.88/26.39 tff(17913,plain,
% 39.88/26.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v123(constB135))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v123(constB135))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17914,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v123(constB135))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17915,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v123(constB135)),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17914, 17913])).
% 39.88/26.39 tff(17916,plain,
% 39.88/26.39 (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17915, 1280, 17912])).
% 39.88/26.39 tff(17917,plain,
% 39.88/26.39 ($false),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17916, 17908, 17849, 17899])).
% 39.88/26.39 tff(17918,plain,(v90(constB136, bitIndex1) | v100(constB136)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.39 tff(17919,plain,
% 39.88/26.39 (v90(constB136, bitIndex1)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17918, 17773])).
% 39.88/26.39 tff(17920,plain,
% 39.88/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17921,plain,
% 39.88/26.39 (((~nextState(constB135, constB136)) | v90(constB135, bitIndex1) | v100(constB136) | (~v90(constB136, bitIndex1))) <=> (v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17922,plain,
% 39.88/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex1) | v100(constB136) | (~v90(constB136, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1))))),
% 39.88/26.39 inference(monotonicity,[status(thm)],[17921])).
% 39.88/26.39 tff(17923,plain,
% 39.88/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex1) | v100(constB136) | (~v90(constB136, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1)))),
% 39.88/26.39 inference(transitivity,[status(thm)],[17922, 17920])).
% 39.88/26.39 tff(17924,plain,
% 39.88/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex1) | v100(constB136) | (~v90(constB136, bitIndex1)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17925,plain,
% 39.88/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17924, 17923])).
% 39.88/26.39 tff(17926,plain,
% 39.88/26.39 (v90(constB135, bitIndex1) | v100(constB136) | (~v90(constB136, bitIndex1))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17925, 186, 17767])).
% 39.88/26.39 tff(17927,plain,
% 39.88/26.39 (v90(constB135, bitIndex1)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17926, 17919, 17773])).
% 39.88/26.39 tff(17928,plain,
% 39.88/26.39 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB135) | (~v122(constB135)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB135) | (~v122(constB135)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17929,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB135) | (~v122(constB135)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17930,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB135) | (~v122(constB135))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17929, 17928])).
% 39.88/26.39 tff(17931,plain,
% 39.88/26.39 (~v122(constB135)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17930, 1149, 17829])).
% 39.88/26.39 tff(17932,plain,
% 39.88/26.39 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB135) | (~v121(constB135)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB135) | (~v121(constB135)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17933,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB135) | (~v121(constB135)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17934,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB135) | (~v121(constB135))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17933, 17932])).
% 39.88/26.39 tff(17935,plain,
% 39.88/26.39 (~v121(constB135)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17934, 1130, 17833])).
% 39.88/26.39 tff(17936,assumption,(v90(constB135, bitIndex1)), introduced(assumption)).
% 39.88/26.39 tff(17937,assumption,(~v90(constB135, bitIndex2)), introduced(assumption)).
% 39.88/26.39 tff(17938,assumption,(~v122(constB135)), introduced(assumption)).
% 39.88/26.39 tff(17939,plain,
% 39.88/26.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v122(constB135))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v122(constB135))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17940,plain,
% 39.88/26.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v122(constB135))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17941,plain,
% 39.88/26.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v122(constB135)),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17940, 17939])).
% 39.88/26.39 tff(17942,plain,
% 39.88/26.39 ((~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17941, 1184, 17938])).
% 39.88/26.39 tff(17943,plain,
% 39.88/26.39 (~v90(constB135, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17942, 17937, 17936])).
% 39.88/26.39 tff(17944,assumption,(~v121(constB135)), introduced(assumption)).
% 39.88/26.39 tff(17945,plain,
% 39.88/26.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17946,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17947,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135)),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17946, 17945])).
% 39.88/26.39 tff(17948,plain,
% 39.88/26.39 (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17947, 996, 17944])).
% 39.88/26.39 tff(17949,plain,
% 39.88/26.39 ($false),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17948, 17943, 17937, 17936])).
% 39.88/26.39 tff(17950,plain,(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | v121(constB135) | v122(constB135)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.39 tff(17951,plain,
% 39.88/26.39 (v90(constB135, bitIndex2)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17950, 17927, 17935, 17931])).
% 39.88/26.39 tff(17952,plain,
% 39.88/26.39 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB135) | (~v125(constB135)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB135) | (~v125(constB135)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17953,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB135) | (~v125(constB135)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17954,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB135) | (~v125(constB135))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17953, 17952])).
% 39.88/26.39 tff(17955,plain,
% 39.88/26.39 (~v125(constB135)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17954, 1294, 17817])).
% 39.88/26.39 tff(17956,plain,
% 39.88/26.39 (((~![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))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17957,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17958,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135)),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17957, 17956])).
% 39.88/26.39 tff(17959,plain,
% 39.88/26.39 (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17958, 1308, 17955])).
% 39.88/26.39 tff(17960,plain,
% 39.88/26.39 (v90(constB135, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17959, 17951, 17927])).
% 39.88/26.39 tff(17961,plain,
% 39.88/26.39 (((~![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)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17962,plain,
% 39.88/26.39 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17963,plain,
% 39.88/26.39 (((~![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))))),
% 39.88/26.39 inference(monotonicity,[status(thm)],[17962])).
% 39.88/26.39 tff(17964,plain,
% 39.88/26.39 (((~![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)))),
% 39.88/26.39 inference(transitivity,[status(thm)],[17963, 17961])).
% 39.88/26.39 tff(17965,plain,
% 39.88/26.39 ((~![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)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17966,plain,
% 39.88/26.39 ((~![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))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17965, 17964])).
% 39.88/26.39 tff(17967,plain,
% 39.88/26.39 (v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17966, 207, 17598])).
% 39.88/26.39 tff(17968,plain,
% 39.88/26.39 (v90(constB134, bitIndex0) | (~v90(constB135, bitIndex0))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17967, 17610])).
% 39.88/26.39 tff(17969,plain,
% 39.88/26.39 (v90(constB134, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17968, 17960])).
% 39.88/26.39 tff(17970,plain,
% 39.88/26.39 (((~![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)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17971,plain,
% 39.88/26.39 (((~nextState(constB133, constB134)) | v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0))) <=> (v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17972,plain,
% 39.88/26.39 (((~![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))))),
% 39.88/26.39 inference(monotonicity,[status(thm)],[17971])).
% 39.88/26.39 tff(17973,plain,
% 39.88/26.39 (((~![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)))),
% 39.88/26.39 inference(transitivity,[status(thm)],[17972, 17970])).
% 39.88/26.39 tff(17974,plain,
% 39.88/26.39 ((~![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)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(17975,plain,
% 39.88/26.39 ((~![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))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17974, 17973])).
% 39.88/26.39 tff(17976,plain,
% 39.88/26.39 (v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17975, 207, 17517])).
% 39.88/26.39 tff(17977,plain,
% 39.88/26.39 (v100(constB134)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17976, 17674, 17969])).
% 39.88/26.39 tff(17978,plain,
% 39.88/26.39 (v90(constB134, bitIndex2)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17662, 17951])).
% 39.88/26.39 tff(17979,plain,
% 39.88/26.39 (v129(constB134, bitIndex2) | (~v100(constB134))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17653, 468, 17978])).
% 39.88/26.39 tff(17980,plain,
% 39.88/26.39 (v129(constB134, bitIndex2)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17979, 17977])).
% 39.88/26.39 tff(17981,plain,
% 39.88/26.39 (v127(constB133, bitIndex2)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17646, 17980])).
% 39.88/26.39 tff(17982,plain,
% 39.88/26.39 (v130(constB133, bitIndex2)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17641, 17981])).
% 39.88/26.39 tff(17983,plain,
% 39.88/26.39 (~v124(constB133)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17345, 1979, 17674])).
% 39.88/26.39 tff(17984,plain,
% 39.88/26.39 (v90(constB136, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17872, 17960, 17773])).
% 39.88/26.39 tff(17985,assumption,(v90(constB136, bitIndex1)), introduced(assumption)).
% 39.88/26.39 tff(17986,plain,
% 39.88/26.39 (v90(constB135, bitIndex1)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17926, 17773, 17985])).
% 39.88/26.39 tff(17987,plain,
% 39.88/26.39 (v90(constB134, bitIndex1)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17618, 17986])).
% 39.88/26.39 tff(17988,assumption,(v90(constB136, bitIndex0)), introduced(assumption)).
% 39.88/26.39 tff(17989,plain,
% 39.88/26.39 (v90(constB135, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17886, 17773, 17988])).
% 39.88/26.39 tff(17990,plain,
% 39.88/26.39 (v90(constB134, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17968, 17989])).
% 39.88/26.39 tff(17991,plain,
% 39.88/26.39 (v100(constB134)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17976, 17990, 17674])).
% 39.88/26.39 tff(17992,plain,
% 39.88/26.39 (v129(constB134, bitIndex1)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17591, 560, 17991, 17987])).
% 39.88/26.39 tff(17993,plain,
% 39.88/26.39 (v127(constB133, bitIndex1)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17521, 17992])).
% 39.88/26.39 tff(17994,plain,
% 39.88/26.39 (v26(constB133)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[17507, 17993])).
% 39.88/26.39 tff(17995,plain,
% 39.88/26.39 (((~![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)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17996,plain,
% 39.88/26.39 (((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(17997,plain,
% 39.88/26.39 (((~![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))))),
% 39.88/26.39 inference(monotonicity,[status(thm)],[17996])).
% 39.88/26.39 tff(17998,plain,
% 39.88/26.39 (((~![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)))),
% 39.88/26.39 inference(transitivity,[status(thm)],[17997, 17995])).
% 39.88/26.39 tff(17999,plain,
% 39.88/26.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(18000,plain,
% 39.88/26.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[17999, 17998])).
% 39.88/26.39 tff(18001,plain,
% 39.88/26.39 (v129(constB134, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[18000, 977, 17991, 17990])).
% 39.88/26.39 tff(18002,plain,
% 39.88/26.39 (((~![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)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(18003,plain,
% 39.88/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(18004,plain,
% 39.88/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[18003, 18002])).
% 39.88/26.39 tff(18005,plain,
% 39.88/26.39 (v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0))),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[18004, 962, 17517])).
% 39.88/26.39 tff(18006,plain,
% 39.88/26.39 (v127(constB133, bitIndex0)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[18005, 18001])).
% 39.88/26.39 tff(18007,plain,
% 39.88/26.39 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB133)) | (~v127(constB133, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB133)) | (~v127(constB133, bitIndex0)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(18008,plain,
% 39.88/26.39 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB133)) | (~v127(constB133, bitIndex0)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(18009,plain,
% 39.88/26.39 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB133)) | (~v127(constB133, bitIndex0))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[18008, 18007])).
% 39.88/26.39 tff(18010,plain,
% 39.88/26.39 ($false),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[18009, 1070, 18006, 17994])).
% 39.88/26.39 tff(18011,plain,(v100(constB136) | v130(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB136, bitIndex1)) | (~v90(constB136, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 39.88/26.39 tff(18012,plain,
% 39.88/26.39 (v130(constB133, bitIndex1)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[18011, 17674, 17773, 17919, 17984])).
% 39.88/26.39 tff(18013,plain,
% 39.88/26.39 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB133)) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB133)) | (~v130(constB133, bitIndex1)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(18014,plain,
% 39.88/26.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB133)) | (~v130(constB133, bitIndex1)))),
% 39.88/26.39 inference(quant_inst,[status(thm)],[])).
% 39.88/26.39 tff(18015,plain,
% 39.88/26.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB133)) | (~v130(constB133, bitIndex1))),
% 39.88/26.39 inference(modus_ponens,[status(thm)],[18014, 18013])).
% 39.88/26.39 tff(18016,plain,
% 39.88/26.39 (~v123(constB133)),
% 39.88/26.39 inference(unit_resolution,[status(thm)],[18015, 1579, 18012])).
% 39.88/26.39 tff(18017,plain,
% 39.88/26.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB133, bitIndex0) | (~v122(constB133)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB133, bitIndex0) | (~v122(constB133)))),
% 39.88/26.39 inference(rewrite,[status(thm)],[])).
% 39.88/26.39 tff(18018,plain,
% 39.88/26.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB133, bitIndex0) | (~v122(constB133)))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18019,plain,
% 39.88/26.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB133, bitIndex0) | (~v122(constB133))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 39.88/26.40 tff(18020,plain,
% 39.88/26.40 (~v122(constB133)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18019, 1968, 17674])).
% 39.88/26.40 tff(18021,plain,
% 39.88/26.40 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB133, bitIndex0) | (~v120(constB133)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB133, bitIndex0) | (~v120(constB133)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18022,plain,
% 39.88/26.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB133, bitIndex0) | (~v120(constB133)))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18023,plain,
% 39.88/26.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB133, bitIndex0) | (~v120(constB133))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 39.88/26.40 tff(18024,plain,
% 39.88/26.40 (~v120(constB133)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18023, 1957, 17674])).
% 39.88/26.40 tff(18025,plain,
% 39.88/26.40 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v130(constB133, bitIndex1)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18026,plain,
% 39.88/26.40 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v130(constB133, bitIndex1)))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18027,plain,
% 39.88/26.40 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v130(constB133, bitIndex1))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18026, 18025])).
% 39.88/26.40 tff(18028,plain,
% 39.88/26.40 (~v119(constB133)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18027, 513, 18012])).
% 39.88/26.40 tff(18029,plain,
% 39.88/26.40 (v121(constB133)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[17625, 1993, 18028, 18024, 18020, 18016, 17983, 17982])).
% 39.88/26.40 tff(18030,plain,
% 39.88/26.40 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB133)) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB133)) | (~v130(constB133, bitIndex2)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18031,plain,
% 39.88/26.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB133)) | (~v130(constB133, bitIndex2)))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18032,plain,
% 39.88/26.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB133)) | (~v130(constB133, bitIndex2))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18031, 18030])).
% 39.88/26.40 tff(18033,plain,
% 39.88/26.40 ($false),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18032, 1102, 18029, 17982])).
% 39.88/26.40 tff(18034,plain,(v90(constB133, bitIndex0) | v100(constB136)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.40 tff(18035,plain,
% 39.88/26.40 (v100(constB136)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18034, 17342])).
% 39.88/26.40 tff(18036,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18037,plain,
% 39.88/26.40 (((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2)) <=> ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18038,plain,
% 39.88/26.40 (((~![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))))),
% 39.88/26.40 inference(monotonicity,[status(thm)],[18037])).
% 39.88/26.40 tff(18039,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(transitivity,[status(thm)],[18038, 18036])).
% 39.88/26.40 tff(18040,plain,
% 39.88/26.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18041,plain,
% 39.88/26.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18040, 18039])).
% 39.88/26.40 tff(18042,plain,
% 39.88/26.40 ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18041, 468, 18035])).
% 39.88/26.40 tff(18043,plain,
% 39.88/26.40 (~v90(constB136, bitIndex2)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18042, 17772])).
% 39.88/26.40 tff(18044,plain,
% 39.88/26.40 ((~v1(constB137)) <=> (~v1(constB137))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18045,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 39.88/26.40 tff(18046,plain,
% 39.88/26.40 (~v1(constB137)),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18045, 18044])).
% 39.88/26.40 tff(18047,plain,
% 39.88/26.40 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18048,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 39.88/26.40 tff(18049,plain,
% 39.88/26.40 (nextState(constB136, constB137)),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18048, 18047])).
% 39.88/26.40 tff(18050,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18051,plain,
% 39.88/26.40 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18052,plain,
% 39.88/26.40 (((~![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))))),
% 39.88/26.40 inference(monotonicity,[status(thm)],[18051])).
% 39.88/26.40 tff(18053,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(transitivity,[status(thm)],[18052, 18050])).
% 39.88/26.40 tff(18054,plain,
% 39.88/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18055,plain,
% 39.88/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 39.88/26.40 tff(18056,plain,
% 39.88/26.40 (~v101(constB137)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18055, 133, 18049, 18046])).
% 39.88/26.40 tff(18057,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18058,plain,
% 39.88/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18059,plain,
% 39.88/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18058, 18057])).
% 39.88/26.40 tff(18060,plain,
% 39.88/26.40 (v101(constB137) | (~v100(constB137))),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18059, 150, 18049])).
% 39.88/26.40 tff(18061,plain,
% 39.88/26.40 (~v100(constB137)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18060, 18056])).
% 39.88/26.40 tff(18062,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18063,plain,
% 39.88/26.40 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18064,plain,
% 39.88/26.40 (((~![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))))),
% 39.88/26.40 inference(monotonicity,[status(thm)],[18063])).
% 39.88/26.40 tff(18065,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(transitivity,[status(thm)],[18064, 18062])).
% 39.88/26.40 tff(18066,plain,
% 39.88/26.40 ((~![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)))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18067,plain,
% 39.88/26.40 ((~![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))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18066, 18065])).
% 39.88/26.40 tff(18068,plain,
% 39.88/26.40 (v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18067, 165, 18049])).
% 39.88/26.40 tff(18069,plain,
% 39.88/26.40 (v90(constB136, bitIndex2) | (~v90(constB137, bitIndex2))),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18068, 18061])).
% 39.88/26.40 tff(18070,plain,
% 39.88/26.40 (~v90(constB137, bitIndex2)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18069, 18043])).
% 39.88/26.40 tff(18071,plain,
% 39.88/26.40 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18072,plain,
% 39.88/26.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18073,plain,
% 39.88/26.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1)),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18072, 18071])).
% 39.88/26.40 tff(18074,plain,
% 39.88/26.40 (v130(constB135, bitIndex1)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18073, 868, 17748])).
% 39.88/26.40 tff(18075,plain,
% 39.88/26.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18076,plain,
% 39.88/26.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18077,plain,
% 39.88/26.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1)),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18076, 18075])).
% 39.88/26.40 tff(18078,plain,
% 39.88/26.40 ((~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18077, 882, 17756])).
% 39.88/26.40 tff(18079,plain,
% 39.88/26.40 (v127(constB135, bitIndex1)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18078, 18074])).
% 39.88/26.40 tff(18080,plain,
% 39.88/26.40 (((~![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))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18081,plain,
% 39.88/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18082,plain,
% 39.88/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18081, 18080])).
% 39.88/26.40 tff(18083,plain,
% 39.88/26.40 ((~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18082, 897, 17767])).
% 39.88/26.40 tff(18084,plain,
% 39.88/26.40 (v129(constB136, bitIndex1)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18083, 18079])).
% 39.88/26.40 tff(18085,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18086,plain,
% 39.88/26.40 ((v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18087,plain,
% 39.88/26.40 (((~![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))))),
% 39.88/26.40 inference(monotonicity,[status(thm)],[18086])).
% 39.88/26.40 tff(18088,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(transitivity,[status(thm)],[18087, 18085])).
% 39.88/26.40 tff(18089,plain,
% 39.88/26.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18090,plain,
% 39.88/26.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18089, 18088])).
% 39.88/26.40 tff(18091,plain,
% 39.88/26.40 (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1))),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18090, 912, 18035])).
% 39.88/26.40 tff(18092,plain,
% 39.88/26.40 (v90(constB136, bitIndex1)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18091, 18084])).
% 39.88/26.40 tff(18093,plain,
% 39.88/26.40 (((~![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))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18094,plain,
% 39.88/26.40 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18095,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(monotonicity,[status(thm)],[18094])).
% 39.88/26.40 tff(18096,plain,
% 39.88/26.40 (((~![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))),
% 39.88/26.40 inference(transitivity,[status(thm)],[18095, 18093])).
% 39.88/26.40 tff(18097,plain,
% 39.88/26.40 ((~![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))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18098,plain,
% 39.88/26.40 ((~![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)),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18097, 18096])).
% 39.88/26.40 tff(18099,plain,
% 39.88/26.40 ((~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18098, 1049, 18049])).
% 39.88/26.40 tff(18100,plain,
% 39.88/26.40 ((~v90(constB136, bitIndex1)) | v90(constB137, bitIndex1)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18099, 18061])).
% 39.88/26.40 tff(18101,plain,
% 39.88/26.40 (v90(constB137, bitIndex1)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18100, 18092])).
% 39.88/26.40 tff(18102,plain,
% 39.88/26.40 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18103,plain,
% 39.88/26.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18104,plain,
% 39.88/26.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18103, 18102])).
% 39.88/26.40 tff(18105,plain,
% 39.88/26.40 (~v130(constB135, bitIndex0)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18104, 930, 17748])).
% 39.88/26.40 tff(18106,plain,
% 39.88/26.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18107,plain,
% 39.88/26.40 ((v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0))) <=> ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18108,plain,
% 39.88/26.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)))),
% 39.88/26.40 inference(monotonicity,[status(thm)],[18107])).
% 39.88/26.40 tff(18109,plain,
% 39.88/26.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 39.88/26.40 inference(transitivity,[status(thm)],[18108, 18106])).
% 39.88/26.40 tff(18110,plain,
% 39.88/26.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18111,plain,
% 39.88/26.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18110, 18109])).
% 39.88/26.40 tff(18112,plain,
% 39.88/26.40 ((~v127(constB135, bitIndex0)) | v130(constB135, bitIndex0)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18111, 944, 17756])).
% 39.88/26.40 tff(18113,plain,
% 39.88/26.40 (~v127(constB135, bitIndex0)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18112, 18105])).
% 39.88/26.40 tff(18114,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18115,plain,
% 39.88/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18116,plain,
% 39.88/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18115, 18114])).
% 39.88/26.40 tff(18117,plain,
% 39.88/26.40 (v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18116, 962, 17767])).
% 39.88/26.40 tff(18118,plain,
% 39.88/26.40 (~v129(constB136, bitIndex0)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18117, 18113])).
% 39.88/26.40 tff(18119,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18120,plain,
% 39.88/26.40 (((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0)) <=> ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18121,plain,
% 39.88/26.40 (((~![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))))),
% 39.88/26.40 inference(monotonicity,[status(thm)],[18120])).
% 39.88/26.40 tff(18122,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(transitivity,[status(thm)],[18121, 18119])).
% 39.88/26.40 tff(18123,plain,
% 39.88/26.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))),
% 39.88/26.40 inference(quant_inst,[status(thm)],[])).
% 39.88/26.40 tff(18124,plain,
% 39.88/26.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))),
% 39.88/26.40 inference(modus_ponens,[status(thm)],[18123, 18122])).
% 39.88/26.40 tff(18125,plain,
% 39.88/26.40 ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18124, 977, 18035])).
% 39.88/26.40 tff(18126,plain,
% 39.88/26.40 (~v90(constB136, bitIndex0)),
% 39.88/26.40 inference(unit_resolution,[status(thm)],[18125, 18118])).
% 39.88/26.40 tff(18127,plain,
% 39.88/26.40 (((~![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)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18128,plain,
% 39.88/26.40 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 39.88/26.40 inference(rewrite,[status(thm)],[])).
% 39.88/26.40 tff(18129,plain,
% 39.88/26.40 (((~![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))))),
% 39.88/26.41 inference(monotonicity,[status(thm)],[18128])).
% 39.88/26.41 tff(18130,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(transitivity,[status(thm)],[18129, 18127])).
% 39.88/26.41 tff(18131,plain,
% 39.88/26.41 ((~![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)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18132,plain,
% 39.88/26.41 ((~![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))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18131, 18130])).
% 39.88/26.41 tff(18133,plain,
% 39.88/26.41 (v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18132, 207, 18049])).
% 39.88/26.41 tff(18134,plain,
% 39.88/26.41 (v90(constB136, bitIndex0) | (~v90(constB137, bitIndex0))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18133, 18061])).
% 39.88/26.41 tff(18135,plain,
% 39.88/26.41 (~v90(constB137, bitIndex0)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18134, 18126])).
% 39.88/26.41 tff(18136,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18137,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18138,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137)),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18137, 18136])).
% 39.88/26.41 tff(18139,plain,
% 39.88/26.41 (v121(constB137)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18138, 996, 18135, 18101, 18070])).
% 39.88/26.41 tff(18140,assumption,(v121(constB137)), introduced(assumption)).
% 39.88/26.41 tff(18141,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB137) | (~v121(constB137)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB137) | (~v121(constB137)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18142,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB137) | (~v121(constB137)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18143,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB137) | (~v121(constB137))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18142, 18141])).
% 39.88/26.41 tff(18144,plain,
% 39.88/26.41 (v117(constB137)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18143, 1130, 18140])).
% 39.88/26.41 tff(18145,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18146,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18147,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18146, 18145])).
% 39.88/26.41 tff(18148,plain,
% 39.88/26.41 (v116(constB137)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18147, 261, 18144])).
% 39.88/26.41 tff(18149,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18150,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18151,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18150, 18149])).
% 39.88/26.41 tff(18152,plain,
% 39.88/26.41 (v115(constB137)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18151, 272, 18148])).
% 39.88/26.41 tff(18153,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18154,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18155,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18154, 18153])).
% 39.88/26.41 tff(18156,plain,
% 39.88/26.41 (v114(constB137)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18155, 283, 18152])).
% 39.88/26.41 tff(18157,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18158,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18159,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18158, 18157])).
% 39.88/26.41 tff(18160,plain,
% 39.88/26.41 (v113(constB137)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18159, 294, 18156])).
% 39.88/26.41 tff(18161,assumption,(~v108(constB137)), introduced(assumption)).
% 39.88/26.41 tff(18162,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18163,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18164,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18163, 18162])).
% 39.88/26.41 tff(18165,plain,
% 39.88/26.41 (~v112(constB137)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18164, 320, 18161])).
% 39.88/26.41 tff(18166,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB137) | (~v26(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB137) | (~v26(constB137)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18167,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB137) | (~v26(constB137)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18168,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB137) | (~v26(constB137))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18167, 18166])).
% 39.88/26.41 tff(18169,plain,
% 39.88/26.41 (~v26(constB137)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18168, 766, 18161])).
% 39.88/26.41 tff(18170,assumption,(v113(constB137)), introduced(assumption)).
% 39.88/26.41 tff(18171,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | v112(constB137) | (~v113(constB137)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18172,plain,
% 39.88/26.41 ((v26(constB137) | (~v113(constB137)) | v112(constB137)) <=> (v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18173,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | v112(constB137) | (~v113(constB137))))),
% 39.88/26.41 inference(monotonicity,[status(thm)],[18172])).
% 39.88/26.41 tff(18174,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 39.88/26.41 inference(transitivity,[status(thm)],[18173, 18171])).
% 39.88/26.41 tff(18175,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18176,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18175, 18174])).
% 39.88/26.41 tff(18177,plain,
% 39.88/26.41 (v26(constB137) | v112(constB137)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18176, 308, 18170])).
% 39.88/26.41 tff(18178,plain,
% 39.88/26.41 ($false),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18177, 18169, 18165])).
% 39.88/26.41 tff(18179,plain,(v108(constB137) | (~v113(constB137))), inference(lemma,lemma(discharge,[]))).
% 39.88/26.41 tff(18180,plain,
% 39.88/26.41 (v108(constB137)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18179, 18160])).
% 39.88/26.41 tff(18181,plain,
% 39.88/26.41 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18182,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 39.88/26.41 tff(18183,plain,
% 39.88/26.41 (nextState(constB137, constB138)),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18182, 18181])).
% 39.88/26.41 tff(18184,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18185,plain,
% 39.88/26.41 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18186,plain,
% 39.88/26.41 (((~![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))))),
% 39.88/26.41 inference(monotonicity,[status(thm)],[18185])).
% 39.88/26.41 tff(18187,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(transitivity,[status(thm)],[18186, 18184])).
% 39.88/26.41 tff(18188,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18189,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18188, 18187])).
% 39.88/26.41 tff(18190,plain,
% 39.88/26.41 (v110(constB138) | (~v108(constB137))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18189, 337, 18183])).
% 39.88/26.41 tff(18191,plain,
% 39.88/26.41 (v110(constB138)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18190, 18180])).
% 39.88/26.41 tff(18192,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18193,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18194,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18193, 18192])).
% 39.88/26.41 tff(18195,plain,
% 39.88/26.41 (~v104(constB138)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18194, 355, 18183, 18046])).
% 39.88/26.41 tff(18196,plain,
% 39.88/26.41 (((~![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))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18197,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18198,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18197, 18196])).
% 39.88/26.41 tff(18199,plain,
% 39.88/26.41 (v102(constB138) | v104(constB138)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18198, 369, 18183])).
% 39.88/26.41 tff(18200,plain,
% 39.88/26.41 (v102(constB138)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18199, 18195])).
% 39.88/26.41 tff(18201,plain,
% 39.88/26.41 (v1(constB138) <=> v1(constB138)),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18202,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 39.88/26.41 tff(18203,plain,
% 39.88/26.41 (v1(constB138)),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18202, 18201])).
% 39.88/26.41 tff(18204,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18205,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18206,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18205, 18204])).
% 39.88/26.41 tff(18207,plain,
% 39.88/26.41 (v101(constB138) | (~v102(constB138))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18206, 387, 18183, 18203])).
% 39.88/26.41 tff(18208,plain,
% 39.88/26.41 (v101(constB138)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18207, 18200])).
% 39.88/26.41 tff(18209,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18210,plain,
% 39.88/26.41 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18211,plain,
% 39.88/26.41 (((~![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))))),
% 39.88/26.41 inference(monotonicity,[status(thm)],[18210])).
% 39.88/26.41 tff(18212,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(transitivity,[status(thm)],[18211, 18209])).
% 39.88/26.41 tff(18213,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18214,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18213, 18212])).
% 39.88/26.41 tff(18215,plain,
% 39.88/26.41 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18214, 402, 18183])).
% 39.88/26.41 tff(18216,plain,
% 39.88/26.41 (v100(constB138) | (~v110(constB138))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18215, 18208])).
% 39.88/26.41 tff(18217,plain,
% 39.88/26.41 (v100(constB138)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18216, 18191])).
% 39.88/26.41 tff(18218,plain,
% 39.88/26.41 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18219,plain,
% 39.88/26.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18220,plain,
% 39.88/26.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18219, 18218])).
% 39.88/26.41 tff(18221,plain,
% 39.88/26.41 (~v130(constB137, bitIndex2)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18220, 1102, 18140])).
% 39.88/26.41 tff(18222,assumption,(v26(constB137)), introduced(assumption)).
% 39.88/26.41 tff(18223,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18224,plain,
% 39.88/26.41 ($false),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18223, 86, 18222])).
% 39.88/26.41 tff(18225,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 39.88/26.41 tff(18226,plain,
% 39.88/26.41 (((~![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))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18227,plain,
% 39.88/26.41 ((v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2))) <=> ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18228,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(monotonicity,[status(thm)],[18227])).
% 39.88/26.41 tff(18229,plain,
% 39.88/26.41 (((~![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))),
% 39.88/26.41 inference(transitivity,[status(thm)],[18228, 18226])).
% 39.88/26.41 tff(18230,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18231,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18230, 18229])).
% 39.88/26.41 tff(18232,plain,
% 39.88/26.41 ((~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18231, 435, 18225])).
% 39.88/26.41 tff(18233,plain,
% 39.88/26.41 (~v127(constB137, bitIndex2)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18232, 18221])).
% 39.88/26.41 tff(18234,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18235,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18236,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18235, 18234])).
% 39.88/26.41 tff(18237,plain,
% 39.88/26.41 (v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18236, 453, 18183])).
% 39.88/26.41 tff(18238,plain,
% 39.88/26.41 (~v129(constB138, bitIndex2)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18237, 18233])).
% 39.88/26.41 tff(18239,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18240,plain,
% 39.88/26.41 (((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2)) <=> ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18241,plain,
% 39.88/26.41 (((~![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))))),
% 39.88/26.41 inference(monotonicity,[status(thm)],[18240])).
% 39.88/26.41 tff(18242,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(transitivity,[status(thm)],[18241, 18239])).
% 39.88/26.41 tff(18243,plain,
% 39.88/26.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18244,plain,
% 39.88/26.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18243, 18242])).
% 39.88/26.41 tff(18245,plain,
% 39.88/26.41 ((~v90(constB138, bitIndex2)) | (~v100(constB138))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18244, 468, 18238])).
% 39.88/26.41 tff(18246,plain,
% 39.88/26.41 (~v90(constB138, bitIndex2)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18245, 18217])).
% 39.88/26.41 tff(18247,plain,
% 39.88/26.41 ((~v1(constB139)) <=> (~v1(constB139))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18248,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 39.88/26.41 tff(18249,plain,
% 39.88/26.41 (~v1(constB139)),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18248, 18247])).
% 39.88/26.41 tff(18250,plain,
% 39.88/26.41 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18251,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 39.88/26.41 tff(18252,plain,
% 39.88/26.41 (nextState(constB138, constB139)),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18251, 18250])).
% 39.88/26.41 tff(18253,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18254,plain,
% 39.88/26.41 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18255,plain,
% 39.88/26.41 (((~![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))))),
% 39.88/26.41 inference(monotonicity,[status(thm)],[18254])).
% 39.88/26.41 tff(18256,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(transitivity,[status(thm)],[18255, 18253])).
% 39.88/26.41 tff(18257,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18258,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18257, 18256])).
% 39.88/26.41 tff(18259,plain,
% 39.88/26.41 (~v101(constB139)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18258, 133, 18252, 18249])).
% 39.88/26.41 tff(18260,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18261,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18262,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18261, 18260])).
% 39.88/26.41 tff(18263,plain,
% 39.88/26.41 (v101(constB139) | (~v100(constB139))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18262, 150, 18252])).
% 39.88/26.41 tff(18264,plain,
% 39.88/26.41 (~v100(constB139)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18263, 18259])).
% 39.88/26.41 tff(18265,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18266,plain,
% 39.88/26.41 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))) <=> (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18267,plain,
% 39.88/26.41 (((~![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))))),
% 39.88/26.41 inference(monotonicity,[status(thm)],[18266])).
% 39.88/26.41 tff(18268,plain,
% 39.88/26.41 (((~![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)))),
% 39.88/26.41 inference(transitivity,[status(thm)],[18267, 18265])).
% 39.88/26.41 tff(18269,plain,
% 39.88/26.41 ((~![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)))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18270,plain,
% 39.88/26.41 ((~![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))),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18269, 18268])).
% 39.88/26.41 tff(18271,plain,
% 39.88/26.41 (v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18270, 165, 18252])).
% 39.88/26.41 tff(18272,plain,
% 39.88/26.41 (v90(constB138, bitIndex2) | (~v90(constB139, bitIndex2))),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18271, 18264])).
% 39.88/26.41 tff(18273,plain,
% 39.88/26.41 (~v90(constB139, bitIndex2)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18272, 18246])).
% 39.88/26.41 tff(18274,plain,
% 39.88/26.41 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18275,plain,
% 39.88/26.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18276,plain,
% 39.88/26.41 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0)),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18275, 18274])).
% 39.88/26.41 tff(18277,plain,
% 39.88/26.41 (v130(constB137, bitIndex0)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18276, 1758, 18140])).
% 39.88/26.41 tff(18278,plain,
% 39.88/26.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18279,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18280,plain,
% 39.88/26.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0)),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18279, 18278])).
% 39.88/26.41 tff(18281,plain,
% 39.88/26.41 ((~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18280, 601, 18225])).
% 39.88/26.41 tff(18282,plain,
% 39.88/26.41 (v127(constB137, bitIndex0)),
% 39.88/26.41 inference(unit_resolution,[status(thm)],[18281, 18277])).
% 39.88/26.41 tff(18283,plain,
% 39.88/26.41 (((~![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))),
% 39.88/26.41 inference(rewrite,[status(thm)],[])).
% 39.88/26.41 tff(18284,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 39.88/26.41 inference(quant_inst,[status(thm)],[])).
% 39.88/26.41 tff(18285,plain,
% 39.88/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 39.88/26.41 inference(modus_ponens,[status(thm)],[18284, 18283])).
% 39.88/26.41 tff(18286,plain,
% 39.88/26.41 ((~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 39.88/26.42 inference(unit_resolution,[status(thm)],[18285, 616, 18183])).
% 39.88/26.42 tff(18287,plain,
% 39.88/26.42 (v129(constB138, bitIndex0)),
% 39.88/26.42 inference(unit_resolution,[status(thm)],[18286, 18282])).
% 39.88/26.42 tff(18288,plain,
% 39.88/26.42 (((~![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)))),
% 39.88/26.42 inference(rewrite,[status(thm)],[])).
% 39.88/26.42 tff(18289,plain,
% 39.88/26.42 ((v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 39.88/26.42 inference(rewrite,[status(thm)],[])).
% 39.88/26.42 tff(18290,plain,
% 39.88/26.42 (((~![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))))),
% 39.88/26.42 inference(monotonicity,[status(thm)],[18289])).
% 39.88/26.42 tff(18291,plain,
% 39.88/26.42 (((~![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)))),
% 39.88/26.42 inference(transitivity,[status(thm)],[18290, 18288])).
% 39.88/26.42 tff(18292,plain,
% 39.88/26.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))),
% 39.88/26.42 inference(quant_inst,[status(thm)],[])).
% 39.88/26.42 tff(18293,plain,
% 39.88/26.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))),
% 39.88/26.42 inference(modus_ponens,[status(thm)],[18292, 18291])).
% 39.88/26.42 tff(18294,plain,
% 39.88/26.42 (v90(constB138, bitIndex0) | (~v100(constB138))),
% 39.88/26.42 inference(unit_resolution,[status(thm)],[18293, 631, 18287])).
% 39.88/26.42 tff(18295,plain,
% 39.88/26.42 (v90(constB138, bitIndex0)),
% 39.88/26.42 inference(unit_resolution,[status(thm)],[18294, 18217])).
% 39.88/26.42 tff(18296,plain,
% 39.88/26.42 (((~![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))),
% 39.88/26.42 inference(rewrite,[status(thm)],[])).
% 39.88/26.42 tff(18297,plain,
% 39.88/26.42 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 39.88/26.42 inference(rewrite,[status(thm)],[])).
% 39.88/26.42 tff(18298,plain,
% 39.88/26.42 (((~![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)))),
% 39.88/26.42 inference(monotonicity,[status(thm)],[18297])).
% 39.88/26.42 tff(18299,plain,
% 39.88/26.42 (((~![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))),
% 39.98/26.42 inference(transitivity,[status(thm)],[18298, 18296])).
% 39.98/26.42 tff(18300,plain,
% 39.98/26.42 ((~![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))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18301,plain,
% 39.98/26.42 ((~![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)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18300, 18299])).
% 39.98/26.42 tff(18302,plain,
% 39.98/26.42 ((~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18301, 649, 18252])).
% 39.98/26.42 tff(18303,plain,
% 39.98/26.42 ((~v90(constB138, bitIndex0)) | v90(constB139, bitIndex0)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18302, 18264])).
% 39.98/26.42 tff(18304,plain,
% 39.98/26.42 (v90(constB139, bitIndex0)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18303, 18295])).
% 39.98/26.42 tff(18305,plain,
% 39.98/26.42 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18306,plain,
% 39.98/26.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18307,plain,
% 39.98/26.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18306, 18305])).
% 39.98/26.42 tff(18308,plain,
% 39.98/26.42 (v130(constB137, bitIndex1)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18307, 1717, 18140])).
% 39.98/26.42 tff(18309,plain,
% 39.98/26.42 (((~![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))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18310,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18311,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18310, 18309])).
% 39.98/26.42 tff(18312,plain,
% 39.98/26.42 ((~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18311, 882, 18225])).
% 39.98/26.42 tff(18313,plain,
% 39.98/26.42 (v127(constB137, bitIndex1)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18312, 18308])).
% 39.98/26.42 tff(18314,plain,
% 39.98/26.42 (((~![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))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18315,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18316,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18315, 18314])).
% 39.98/26.42 tff(18317,plain,
% 39.98/26.42 ((~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18316, 897, 18183])).
% 39.98/26.42 tff(18318,plain,
% 39.98/26.42 (v129(constB138, bitIndex1)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18317, 18313])).
% 39.98/26.42 tff(18319,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18320,plain,
% 39.98/26.42 ((v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1))) <=> (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18321,plain,
% 39.98/26.42 (((~![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))))),
% 39.98/26.42 inference(monotonicity,[status(thm)],[18320])).
% 39.98/26.42 tff(18322,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(transitivity,[status(thm)],[18321, 18319])).
% 39.98/26.42 tff(18323,plain,
% 39.98/26.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18324,plain,
% 39.98/26.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18323, 18322])).
% 39.98/26.42 tff(18325,plain,
% 39.98/26.42 (v90(constB138, bitIndex1) | (~v100(constB138))),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18324, 912, 18318])).
% 39.98/26.42 tff(18326,plain,
% 39.98/26.42 (v90(constB138, bitIndex1)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18325, 18217])).
% 39.98/26.42 tff(18327,plain,
% 39.98/26.42 (((~![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))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18328,plain,
% 39.98/26.42 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18329,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(monotonicity,[status(thm)],[18328])).
% 39.98/26.42 tff(18330,plain,
% 39.98/26.42 (((~![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))),
% 39.98/26.42 inference(transitivity,[status(thm)],[18329, 18327])).
% 39.98/26.42 tff(18331,plain,
% 39.98/26.42 ((~![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))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18332,plain,
% 39.98/26.42 ((~![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)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18331, 18330])).
% 39.98/26.42 tff(18333,plain,
% 39.98/26.42 ((~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18332, 1049, 18252])).
% 39.98/26.42 tff(18334,plain,
% 39.98/26.42 ((~v90(constB138, bitIndex1)) | v90(constB139, bitIndex1)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18333, 18264])).
% 39.98/26.42 tff(18335,plain,
% 39.98/26.42 (v90(constB139, bitIndex1)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18334, 18326])).
% 39.98/26.42 tff(18336,assumption,(~v122(constB139)), introduced(assumption)).
% 39.98/26.42 tff(18337,plain,
% 39.98/26.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18338,plain,
% 39.98/26.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18339,plain,
% 39.98/26.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18338, 18337])).
% 39.98/26.42 tff(18340,plain,
% 39.98/26.42 ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18339, 1184, 18336])).
% 39.98/26.42 tff(18341,plain,
% 39.98/26.42 ($false),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18340, 18335, 18304, 18273])).
% 39.98/26.42 tff(18342,plain,((~v121(constB137)) | v122(constB139)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.42 tff(18343,plain,
% 39.98/26.42 (v122(constB139)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18342, 18139])).
% 39.98/26.42 tff(18344,assumption,(v122(constB139)), introduced(assumption)).
% 39.98/26.42 tff(18345,plain,
% 39.98/26.42 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB139) | (~v122(constB139)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB139) | (~v122(constB139)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18346,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB139) | (~v122(constB139)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18347,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB139) | (~v122(constB139))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18346, 18345])).
% 39.98/26.42 tff(18348,plain,
% 39.98/26.42 (v116(constB139)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18347, 1149, 18344])).
% 39.98/26.42 tff(18349,plain,
% 39.98/26.42 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18350,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18351,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18350, 18349])).
% 39.98/26.42 tff(18352,plain,
% 39.98/26.42 (v115(constB139)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18351, 272, 18348])).
% 39.98/26.42 tff(18353,plain,
% 39.98/26.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18354,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18355,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18354, 18353])).
% 39.98/26.42 tff(18356,plain,
% 39.98/26.42 (v114(constB139)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18355, 283, 18352])).
% 39.98/26.42 tff(18357,plain,
% 39.98/26.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18358,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18359,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18358, 18357])).
% 39.98/26.42 tff(18360,plain,
% 39.98/26.42 (v113(constB139)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18359, 294, 18356])).
% 39.98/26.42 tff(18361,assumption,(v26(constB139)), introduced(assumption)).
% 39.98/26.42 tff(18362,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18363,plain,
% 39.98/26.42 ($false),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18362, 86, 18361])).
% 39.98/26.42 tff(18364,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.42 tff(18365,plain,
% 39.98/26.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18366,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18367,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | (~v113(constB139)) | v112(constB139)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18366, 18365])).
% 39.98/26.42 tff(18368,plain,
% 39.98/26.42 ((~v113(constB139)) | v112(constB139)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18367, 308, 18364])).
% 39.98/26.42 tff(18369,plain,
% 39.98/26.42 (v112(constB139)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18368, 18360])).
% 39.98/26.42 tff(18370,plain,
% 39.98/26.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18371,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18372,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18371, 18370])).
% 39.98/26.42 tff(18373,plain,
% 39.98/26.42 (v108(constB139)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18372, 320, 18369])).
% 39.98/26.42 tff(18374,plain,
% 39.98/26.42 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18375,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 39.98/26.42 tff(18376,plain,
% 39.98/26.42 (nextState(constB139, constB140)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18375, 18374])).
% 39.98/26.42 tff(18377,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18378,plain,
% 39.98/26.42 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18379,plain,
% 39.98/26.42 (((~![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))))),
% 39.98/26.42 inference(monotonicity,[status(thm)],[18378])).
% 39.98/26.42 tff(18380,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(transitivity,[status(thm)],[18379, 18377])).
% 39.98/26.42 tff(18381,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18382,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18381, 18380])).
% 39.98/26.42 tff(18383,plain,
% 39.98/26.42 (v110(constB140) | (~v108(constB139))),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18382, 337, 18376])).
% 39.98/26.42 tff(18384,plain,
% 39.98/26.42 (v110(constB140)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18383, 18373])).
% 39.98/26.42 tff(18385,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18386,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18387,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18386, 18385])).
% 39.98/26.42 tff(18388,plain,
% 39.98/26.42 (~v104(constB140)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18387, 355, 18376, 18249])).
% 39.98/26.42 tff(18389,plain,
% 39.98/26.42 (((~![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))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18390,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18391,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18390, 18389])).
% 39.98/26.42 tff(18392,plain,
% 39.98/26.42 (v102(constB140) | v104(constB140)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18391, 369, 18376])).
% 39.98/26.42 tff(18393,plain,
% 39.98/26.42 (v102(constB140)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18392, 18388])).
% 39.98/26.42 tff(18394,plain,
% 39.98/26.42 (v1(constB140) <=> v1(constB140)),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18395,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 39.98/26.42 tff(18396,plain,
% 39.98/26.42 (v1(constB140)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18395, 18394])).
% 39.98/26.42 tff(18397,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18398,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18399,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18398, 18397])).
% 39.98/26.42 tff(18400,plain,
% 39.98/26.42 (v101(constB140) | (~v102(constB140))),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18399, 387, 18376, 18396])).
% 39.98/26.42 tff(18401,plain,
% 39.98/26.42 (v101(constB140)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18400, 18393])).
% 39.98/26.42 tff(18402,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18403,plain,
% 39.98/26.42 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18404,plain,
% 39.98/26.42 (((~![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))))),
% 39.98/26.42 inference(monotonicity,[status(thm)],[18403])).
% 39.98/26.42 tff(18405,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(transitivity,[status(thm)],[18404, 18402])).
% 39.98/26.42 tff(18406,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18407,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18406, 18405])).
% 39.98/26.42 tff(18408,plain,
% 39.98/26.42 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18407, 402, 18376])).
% 39.98/26.42 tff(18409,plain,
% 39.98/26.42 (v100(constB140) | (~v110(constB140))),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18408, 18401])).
% 39.98/26.42 tff(18410,plain,
% 39.98/26.42 (v100(constB140)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18409, 18384])).
% 39.98/26.42 tff(18411,plain,
% 39.98/26.42 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18412,plain,
% 39.98/26.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18413,plain,
% 39.98/26.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18412, 18411])).
% 39.98/26.42 tff(18414,plain,
% 39.98/26.42 (~v130(constB139, bitIndex0)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18413, 1486, 18344])).
% 39.98/26.42 tff(18415,plain,
% 39.98/26.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18416,plain,
% 39.98/26.42 ((v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0))) <=> ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18417,plain,
% 39.98/26.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)))),
% 39.98/26.42 inference(monotonicity,[status(thm)],[18416])).
% 39.98/26.42 tff(18418,plain,
% 39.98/26.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 39.98/26.42 inference(transitivity,[status(thm)],[18417, 18415])).
% 39.98/26.42 tff(18419,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18420,plain,
% 39.98/26.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18419, 18418])).
% 39.98/26.42 tff(18421,plain,
% 39.98/26.42 ((~v127(constB139, bitIndex0)) | v130(constB139, bitIndex0)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18420, 944, 18364])).
% 39.98/26.42 tff(18422,plain,
% 39.98/26.42 (~v127(constB139, bitIndex0)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18421, 18414])).
% 39.98/26.42 tff(18423,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18424,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18425,plain,
% 39.98/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18424, 18423])).
% 39.98/26.42 tff(18426,plain,
% 39.98/26.42 (v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18425, 962, 18376])).
% 39.98/26.42 tff(18427,plain,
% 39.98/26.42 (~v129(constB140, bitIndex0)),
% 39.98/26.42 inference(unit_resolution,[status(thm)],[18426, 18422])).
% 39.98/26.42 tff(18428,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18429,plain,
% 39.98/26.42 (((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0)) <=> ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 39.98/26.42 inference(rewrite,[status(thm)],[])).
% 39.98/26.42 tff(18430,plain,
% 39.98/26.42 (((~![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))))),
% 39.98/26.42 inference(monotonicity,[status(thm)],[18429])).
% 39.98/26.42 tff(18431,plain,
% 39.98/26.42 (((~![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)))),
% 39.98/26.42 inference(transitivity,[status(thm)],[18430, 18428])).
% 39.98/26.42 tff(18432,plain,
% 39.98/26.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))),
% 39.98/26.42 inference(quant_inst,[status(thm)],[])).
% 39.98/26.42 tff(18433,plain,
% 39.98/26.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))),
% 39.98/26.42 inference(modus_ponens,[status(thm)],[18432, 18431])).
% 39.98/26.42 tff(18434,plain,
% 39.98/26.43 ((~v90(constB140, bitIndex0)) | (~v100(constB140))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18433, 977, 18427])).
% 39.98/26.43 tff(18435,plain,
% 39.98/26.43 (~v90(constB140, bitIndex0)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18434, 18410])).
% 39.98/26.43 tff(18436,plain,
% 39.98/26.43 ((~v1(constB141)) <=> (~v1(constB141))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18437,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 39.98/26.43 tff(18438,plain,
% 39.98/26.43 (~v1(constB141)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18437, 18436])).
% 39.98/26.43 tff(18439,plain,
% 39.98/26.43 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18440,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 39.98/26.43 tff(18441,plain,
% 39.98/26.43 (nextState(constB140, constB141)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18440, 18439])).
% 39.98/26.43 tff(18442,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18443,plain,
% 39.98/26.43 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18444,plain,
% 39.98/26.43 (((~![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))))),
% 39.98/26.43 inference(monotonicity,[status(thm)],[18443])).
% 39.98/26.43 tff(18445,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(transitivity,[status(thm)],[18444, 18442])).
% 39.98/26.43 tff(18446,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18447,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18446, 18445])).
% 39.98/26.43 tff(18448,plain,
% 39.98/26.43 (~v101(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18447, 133, 18441, 18438])).
% 39.98/26.43 tff(18449,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18450,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18451,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18450, 18449])).
% 39.98/26.43 tff(18452,plain,
% 39.98/26.43 (v101(constB141) | (~v100(constB141))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18451, 150, 18441])).
% 39.98/26.43 tff(18453,plain,
% 39.98/26.43 (~v100(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18452, 18448])).
% 39.98/26.43 tff(18454,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18455,plain,
% 39.98/26.43 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))) <=> (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18456,plain,
% 39.98/26.43 (((~![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))))),
% 39.98/26.43 inference(monotonicity,[status(thm)],[18455])).
% 39.98/26.43 tff(18457,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(transitivity,[status(thm)],[18456, 18454])).
% 39.98/26.43 tff(18458,plain,
% 39.98/26.43 ((~![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)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18459,plain,
% 39.98/26.43 ((~![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))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18458, 18457])).
% 39.98/26.43 tff(18460,plain,
% 39.98/26.43 (v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18459, 207, 18441])).
% 39.98/26.43 tff(18461,plain,
% 39.98/26.43 (v90(constB140, bitIndex0) | (~v90(constB141, bitIndex0))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18460, 18453])).
% 39.98/26.43 tff(18462,plain,
% 39.98/26.43 (~v90(constB141, bitIndex0)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18461, 18435])).
% 39.98/26.43 tff(18463,assumption,(~v90(constB141, bitIndex0)), introduced(assumption)).
% 39.98/26.43 tff(18464,assumption,(v26(constB141)), introduced(assumption)).
% 39.98/26.43 tff(18465,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18466,plain,
% 39.98/26.43 ($false),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18465, 86, 18464])).
% 39.98/26.43 tff(18467,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.43 tff(18468,assumption,(~v90(constB142, bitIndex0)), introduced(assumption)).
% 39.98/26.43 tff(18469,assumption,(~v26(constB141)), introduced(assumption)).
% 39.98/26.43 tff(18470,assumption,(v119(constB141)), introduced(assumption)).
% 39.98/26.43 tff(18471,plain,
% 39.98/26.43 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB141)) | v130(constB141, bitIndex0))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18472,plain,
% 39.98/26.43 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB141)) | v130(constB141, bitIndex0))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18473,plain,
% 39.98/26.43 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB141)) | v130(constB141, bitIndex0)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18472, 18471])).
% 39.98/26.43 tff(18474,plain,
% 39.98/26.43 (v130(constB141, bitIndex0)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18473, 587, 18470])).
% 39.98/26.43 tff(18475,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18476,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18477,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18476, 18475])).
% 39.98/26.43 tff(18478,plain,
% 39.98/26.43 ((~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18477, 601, 18469])).
% 39.98/26.43 tff(18479,plain,
% 39.98/26.43 (v127(constB141, bitIndex0)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18478, 18474])).
% 39.98/26.43 tff(18480,plain,
% 39.98/26.43 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18481,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 39.98/26.43 tff(18482,plain,
% 39.98/26.43 (nextState(constB141, constB142)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 39.98/26.43 tff(18483,plain,
% 39.98/26.43 (((~![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))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18484,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18485,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18484, 18483])).
% 39.98/26.43 tff(18486,plain,
% 39.98/26.43 ((~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18485, 616, 18482])).
% 39.98/26.43 tff(18487,plain,
% 39.98/26.43 (v129(constB142, bitIndex0)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18486, 18479])).
% 39.98/26.43 tff(18488,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18489,plain,
% 39.98/26.43 ((v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18490,plain,
% 39.98/26.43 (((~![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))))),
% 39.98/26.43 inference(monotonicity,[status(thm)],[18489])).
% 39.98/26.43 tff(18491,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(transitivity,[status(thm)],[18490, 18488])).
% 39.98/26.43 tff(18492,plain,
% 39.98/26.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18493,plain,
% 39.98/26.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18492, 18491])).
% 39.98/26.43 tff(18494,plain,
% 39.98/26.43 ((~v129(constB142, bitIndex0)) | (~v100(constB142))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18493, 631, 18468])).
% 39.98/26.43 tff(18495,plain,
% 39.98/26.43 (~v100(constB142)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18494, 18487])).
% 39.98/26.43 tff(18496,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18497,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18498,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18497, 18496])).
% 39.98/26.43 tff(18499,plain,
% 39.98/26.43 (~v104(constB142)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18498, 355, 18482, 18438])).
% 39.98/26.43 tff(18500,plain,
% 39.98/26.43 (((~![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))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18501,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18502,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18501, 18500])).
% 39.98/26.43 tff(18503,plain,
% 39.98/26.43 (v102(constB142) | v104(constB142)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18502, 369, 18482])).
% 39.98/26.43 tff(18504,plain,
% 39.98/26.43 (v102(constB142)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18503, 18499])).
% 39.98/26.43 tff(18505,plain,
% 39.98/26.43 (v1(constB142) <=> v1(constB142)),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18506,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 39.98/26.43 tff(18507,plain,
% 39.98/26.43 (v1(constB142)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18506, 18505])).
% 39.98/26.43 tff(18508,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18509,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18510,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18509, 18508])).
% 39.98/26.43 tff(18511,plain,
% 39.98/26.43 (v101(constB142) | (~v102(constB142))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18510, 387, 18482, 18507])).
% 39.98/26.43 tff(18512,plain,
% 39.98/26.43 (v101(constB142)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18511, 18504])).
% 39.98/26.43 tff(18513,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18514,plain,
% 39.98/26.43 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18515,plain,
% 39.98/26.43 (((~![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))))),
% 39.98/26.43 inference(monotonicity,[status(thm)],[18514])).
% 39.98/26.43 tff(18516,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(transitivity,[status(thm)],[18515, 18513])).
% 39.98/26.43 tff(18517,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18518,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18517, 18516])).
% 39.98/26.43 tff(18519,plain,
% 39.98/26.43 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18518, 402, 18482])).
% 39.98/26.43 tff(18520,plain,
% 39.98/26.43 (v100(constB142) | (~v110(constB142))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18519, 18512])).
% 39.98/26.43 tff(18521,plain,
% 39.98/26.43 (~v110(constB142)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18520, 18495])).
% 39.98/26.43 tff(18522,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18523,plain,
% 39.98/26.43 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18524,plain,
% 39.98/26.43 (((~![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))))),
% 39.98/26.43 inference(monotonicity,[status(thm)],[18523])).
% 39.98/26.43 tff(18525,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(transitivity,[status(thm)],[18524, 18522])).
% 39.98/26.43 tff(18526,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18527,plain,
% 39.98/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18526, 18525])).
% 39.98/26.43 tff(18528,plain,
% 39.98/26.43 (v110(constB142) | (~v108(constB141))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18527, 337, 18482])).
% 39.98/26.43 tff(18529,plain,
% 39.98/26.43 (~v108(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18528, 18521])).
% 39.98/26.43 tff(18530,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18531,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18532,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18531, 18530])).
% 39.98/26.43 tff(18533,plain,
% 39.98/26.43 (~v112(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18532, 320, 18529])).
% 39.98/26.43 tff(18534,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18535,plain,
% 39.98/26.43 ((v26(constB141) | (~v113(constB141)) | v112(constB141)) <=> (v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18536,plain,
% 39.98/26.43 (((~![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))))),
% 39.98/26.43 inference(monotonicity,[status(thm)],[18535])).
% 39.98/26.43 tff(18537,plain,
% 39.98/26.43 (((~![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)))),
% 39.98/26.43 inference(transitivity,[status(thm)],[18536, 18534])).
% 39.98/26.43 tff(18538,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18539,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18538, 18537])).
% 39.98/26.43 tff(18540,plain,
% 39.98/26.43 (v112(constB141) | (~v113(constB141))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18539, 308, 18469])).
% 39.98/26.43 tff(18541,plain,
% 39.98/26.43 (~v113(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18540, 18533])).
% 39.98/26.43 tff(18542,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18543,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18544,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18543, 18542])).
% 39.98/26.43 tff(18545,plain,
% 39.98/26.43 (~v114(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18544, 294, 18541])).
% 39.98/26.43 tff(18546,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB141) | (~v119(constB141)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB141) | (~v119(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18547,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB141) | (~v119(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18548,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB141) | (~v119(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18547, 18546])).
% 39.98/26.43 tff(18549,plain,
% 39.98/26.43 (v118(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18548, 239, 18470])).
% 39.98/26.43 tff(18550,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB141) | (~v118(constB141)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB141) | (~v118(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18551,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB141) | (~v118(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18552,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB141) | (~v118(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18551, 18550])).
% 39.98/26.43 tff(18553,plain,
% 39.98/26.43 (v117(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18552, 250, 18549])).
% 39.98/26.43 tff(18554,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB141) | (~v117(constB141)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB141) | (~v117(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18555,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB141) | (~v117(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18556,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB141) | (~v117(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18555, 18554])).
% 39.98/26.43 tff(18557,plain,
% 39.98/26.43 (v116(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18556, 261, 18553])).
% 39.98/26.43 tff(18558,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB141) | (~v116(constB141)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB141) | (~v116(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18559,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB141) | (~v116(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18560,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB141) | (~v116(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18559, 18558])).
% 39.98/26.43 tff(18561,plain,
% 39.98/26.43 (v115(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18560, 272, 18557])).
% 39.98/26.43 tff(18562,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18563,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18564,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18563, 18562])).
% 39.98/26.43 tff(18565,plain,
% 39.98/26.43 ($false),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18564, 283, 18561, 18545])).
% 39.98/26.43 tff(18566,plain,((~v119(constB141)) | v26(constB141) | v90(constB142, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.43 tff(18567,plain,
% 39.98/26.43 (~v119(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18566, 18469, 18468])).
% 39.98/26.43 tff(18568,assumption,(~v127(constB141, bitIndex0)), introduced(assumption)).
% 39.98/26.43 tff(18569,plain,
% 39.98/26.43 (v26(constB141) | (~v130(constB141, bitIndex0))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18477, 601, 18568])).
% 39.98/26.43 tff(18570,plain,
% 39.98/26.43 (~v130(constB141, bitIndex0)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18569, 18469])).
% 39.98/26.43 tff(18571,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB141, bitIndex0) | (~v120(constB141)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB141, bitIndex0) | (~v120(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18572,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB141, bitIndex0) | (~v120(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18573,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB141, bitIndex0) | (~v120(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18572, 18571])).
% 39.98/26.43 tff(18574,plain,
% 39.98/26.43 (~v120(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18573, 1957, 18463])).
% 39.98/26.43 tff(18575,assumption,(~v130(constB141, bitIndex0)), introduced(assumption)).
% 39.98/26.43 tff(18576,plain,
% 39.98/26.43 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB141)) | v130(constB141, bitIndex0))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18577,plain,
% 39.98/26.43 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB141)) | v130(constB141, bitIndex0))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18578,plain,
% 39.98/26.43 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB141)) | v130(constB141, bitIndex0)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18577, 18576])).
% 39.98/26.43 tff(18579,plain,
% 39.98/26.43 (~v121(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18578, 1758, 18575])).
% 39.98/26.43 tff(18580,plain,
% 39.98/26.43 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB141)) | v130(constB141, bitIndex0))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18581,plain,
% 39.98/26.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB141)) | v130(constB141, bitIndex0))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18582,plain,
% 39.98/26.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB141)) | v130(constB141, bitIndex0)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18581, 18580])).
% 39.98/26.43 tff(18583,plain,
% 39.98/26.43 (~v123(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18582, 2258, 18575])).
% 39.98/26.43 tff(18584,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB141, bitIndex0) | (~v124(constB141)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB141, bitIndex0) | (~v124(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18585,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB141, bitIndex0) | (~v124(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18586,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB141, bitIndex0) | (~v124(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18585, 18584])).
% 39.98/26.43 tff(18587,plain,
% 39.98/26.43 (~v124(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18586, 1979, 18463])).
% 39.98/26.43 tff(18588,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB141, bitIndex0) | (~v122(constB141)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB141, bitIndex0) | (~v122(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18589,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB141, bitIndex0) | (~v122(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18590,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB141, bitIndex0) | (~v122(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18589, 18588])).
% 39.98/26.43 tff(18591,plain,
% 39.98/26.43 (~v122(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18590, 1968, 18463])).
% 39.98/26.43 tff(18592,assumption,(~v119(constB141)), introduced(assumption)).
% 39.98/26.43 tff(18593,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB141) | v123(constB141) | v122(constB141) | v121(constB141) | v120(constB141) | v119(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB141) | v123(constB141) | v122(constB141) | v121(constB141) | v120(constB141) | v119(constB141) | v130(constB141, bitIndex0))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18594,plain,
% 39.98/26.43 ((v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0)) <=> (v124(constB141) | v123(constB141) | v122(constB141) | v121(constB141) | v120(constB141) | v119(constB141) | v130(constB141, bitIndex0))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18595,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB141) | v123(constB141) | v122(constB141) | v121(constB141) | v120(constB141) | v119(constB141) | v130(constB141, bitIndex0)))),
% 39.98/26.43 inference(monotonicity,[status(thm)],[18594])).
% 39.98/26.43 tff(18596,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB141) | v123(constB141) | v122(constB141) | v121(constB141) | v120(constB141) | v119(constB141) | v130(constB141, bitIndex0))),
% 39.98/26.43 inference(transitivity,[status(thm)],[18595, 18593])).
% 39.98/26.43 tff(18597,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB141) | v119(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18598,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB141) | v123(constB141) | v122(constB141) | v121(constB141) | v120(constB141) | v119(constB141) | v130(constB141, bitIndex0)),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18597, 18596])).
% 39.98/26.43 tff(18599,plain,
% 39.98/26.43 (v124(constB141) | v123(constB141) | v122(constB141) | v121(constB141) | v120(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18598, 2753, 18592, 18575])).
% 39.98/26.43 tff(18600,plain,
% 39.98/26.43 ($false),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18599, 18591, 18587, 18583, 18579, 18574])).
% 39.98/26.43 tff(18601,plain,(v90(constB141, bitIndex0) | v119(constB141) | v130(constB141, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.43 tff(18602,plain,
% 39.98/26.43 ($false),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18601, 18570, 18567, 18463])).
% 39.98/26.43 tff(18603,plain,(v26(constB141) | v90(constB141, bitIndex0) | v127(constB141, bitIndex0) | v90(constB142, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.43 tff(18604,plain,
% 39.98/26.43 (v127(constB141, bitIndex0)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18603, 18468, 18467, 18463])).
% 39.98/26.43 tff(18605,plain,
% 39.98/26.43 (v129(constB142, bitIndex0)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18486, 18604])).
% 39.98/26.43 tff(18606,plain,
% 39.98/26.43 (~v100(constB142)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18493, 631, 18468, 18605])).
% 39.98/26.43 tff(18607,plain,
% 39.98/26.43 (~v110(constB142)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18520, 18606])).
% 39.98/26.43 tff(18608,plain,
% 39.98/26.43 (~v108(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18528, 18607])).
% 39.98/26.43 tff(18609,plain,
% 39.98/26.43 (~v112(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18532, 320, 18608])).
% 39.98/26.43 tff(18610,plain,
% 39.98/26.43 (v112(constB141) | (~v113(constB141))),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18539, 308, 18467])).
% 39.98/26.43 tff(18611,plain,
% 39.98/26.43 (~v113(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18610, 18609])).
% 39.98/26.43 tff(18612,plain,
% 39.98/26.43 (~v114(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18544, 294, 18611])).
% 39.98/26.43 tff(18613,plain,
% 39.98/26.43 (~v115(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18564, 283, 18612])).
% 39.98/26.43 tff(18614,plain,
% 39.98/26.43 (~v116(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18560, 272, 18613])).
% 39.98/26.43 tff(18615,plain,
% 39.98/26.43 (~v117(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18556, 261, 18614])).
% 39.98/26.43 tff(18616,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB141) | (~v121(constB141)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB141) | (~v121(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18617,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB141) | (~v121(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18618,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB141) | (~v121(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18617, 18616])).
% 39.98/26.43 tff(18619,plain,
% 39.98/26.43 (~v121(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18618, 1130, 18615])).
% 39.98/26.43 tff(18620,plain,
% 39.98/26.43 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB141) | (~v123(constB141)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB141) | (~v123(constB141)))),
% 39.98/26.43 inference(rewrite,[status(thm)],[])).
% 39.98/26.43 tff(18621,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB141) | (~v123(constB141)))),
% 39.98/26.43 inference(quant_inst,[status(thm)],[])).
% 39.98/26.43 tff(18622,plain,
% 39.98/26.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB141) | (~v123(constB141))),
% 39.98/26.43 inference(modus_ponens,[status(thm)],[18621, 18620])).
% 39.98/26.43 tff(18623,plain,
% 39.98/26.43 (~v123(constB141)),
% 39.98/26.43 inference(unit_resolution,[status(thm)],[18622, 1247, 18613])).
% 39.98/26.43 tff(18624,assumption,(~v90(constB142, bitIndex1)), introduced(assumption)).
% 39.98/26.44 tff(18625,assumption,(~v90(constB141, bitIndex2)), introduced(assumption)).
% 39.98/26.44 tff(18626,plain,
% 39.98/26.44 (~v119(constB141)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18566, 18468, 18469])).
% 39.98/26.44 tff(18627,plain,
% 39.98/26.44 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB141) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | v90(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB141) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | v90(constB141, bitIndex2))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18628,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB141) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | v90(constB141, bitIndex2))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18629,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB141) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | v90(constB141, bitIndex2)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18628, 18627])).
% 39.98/26.44 tff(18630,plain,
% 39.98/26.44 (v119(constB141) | v90(constB141, bitIndex1) | v90(constB141, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18629, 228, 18463])).
% 39.98/26.44 tff(18631,plain,
% 39.98/26.44 (v90(constB141, bitIndex1)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18630, 18626, 18625])).
% 39.98/26.44 tff(18632,plain,
% 39.98/26.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v121(constB141))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v121(constB141))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18633,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v121(constB141))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18634,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v121(constB141)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18633, 18632])).
% 39.98/26.44 tff(18635,plain,
% 39.98/26.44 ((~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v121(constB141)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18634, 996, 18463])).
% 39.98/26.44 tff(18636,plain,
% 39.98/26.44 (v121(constB141)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18635, 18631, 18625])).
% 39.98/26.44 tff(18637,plain,
% 39.98/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, bitIndex1))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18638,plain,
% 39.98/26.44 (((~nextState(constB141, constB142)) | (~v90(constB141, bitIndex1)) | v100(constB142) | v90(constB142, bitIndex1)) <=> ((~v90(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, bitIndex1))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18639,plain,
% 39.98/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v90(constB141, bitIndex1)) | v100(constB142) | v90(constB142, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, bitIndex1)))),
% 39.98/26.44 inference(monotonicity,[status(thm)],[18638])).
% 39.98/26.44 tff(18640,plain,
% 39.98/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v90(constB141, bitIndex1)) | v100(constB142) | v90(constB142, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, bitIndex1))),
% 39.98/26.44 inference(transitivity,[status(thm)],[18639, 18637])).
% 39.98/26.44 tff(18641,plain,
% 39.98/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v90(constB141, bitIndex1)) | v100(constB142) | v90(constB142, bitIndex1))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18642,plain,
% 39.98/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, bitIndex1)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18641, 18640])).
% 39.98/26.44 tff(18643,plain,
% 39.98/26.44 ((~v90(constB141, bitIndex1)) | v100(constB142) | v90(constB142, bitIndex1)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18642, 1049, 18482])).
% 39.98/26.44 tff(18644,plain,
% 39.98/26.44 (v100(constB142)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18643, 18631, 18624])).
% 39.98/26.44 tff(18645,plain,
% 39.98/26.44 (~v129(constB142, bitIndex0)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18494, 18644])).
% 39.98/26.44 tff(18646,plain,
% 39.98/26.44 (~v127(constB141, bitIndex0)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18486, 18645])).
% 39.98/26.44 tff(18647,plain,
% 39.98/26.44 (~v130(constB141, bitIndex0)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18478, 18646])).
% 39.98/26.44 tff(18648,plain,
% 39.98/26.44 ($false),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18578, 1758, 18647, 18636])).
% 39.98/26.44 tff(18649,plain,(v90(constB142, bitIndex0) | v26(constB141) | v90(constB141, bitIndex2) | v90(constB141, bitIndex0) | v90(constB142, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.44 tff(18650,plain,
% 39.98/26.44 (v90(constB141, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18649, 18624, 18468, 18463, 18467])).
% 39.98/26.44 tff(18651,plain,
% 39.98/26.44 (~v90(constB141, bitIndex1)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18643, 18624, 18606])).
% 39.98/26.44 tff(18652,plain,
% 39.98/26.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18653,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18654,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18653, 18652])).
% 39.98/26.44 tff(18655,plain,
% 39.98/26.44 (v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18654, 1280, 18463])).
% 39.98/26.44 tff(18656,plain,
% 39.98/26.44 ($false),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18655, 18651, 18650, 18623])).
% 39.98/26.44 tff(18657,plain,(v90(constB142, bitIndex1) | v90(constB141, bitIndex0) | v90(constB142, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.44 tff(18658,plain,
% 39.98/26.44 (v90(constB142, bitIndex1)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18657, 18468, 18463])).
% 39.98/26.44 tff(18659,plain,
% 39.98/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18660,plain,
% 39.98/26.44 (((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1))) <=> (v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18661,plain,
% 39.98/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1))))),
% 39.98/26.44 inference(monotonicity,[status(thm)],[18660])).
% 39.98/26.44 tff(18662,plain,
% 39.98/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 39.98/26.44 inference(transitivity,[status(thm)],[18661, 18659])).
% 39.98/26.44 tff(18663,plain,
% 39.98/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18664,plain,
% 39.98/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1))),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18663, 18662])).
% 39.98/26.44 tff(18665,plain,
% 39.98/26.44 (v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1))),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18664, 186, 18482])).
% 39.98/26.44 tff(18666,plain,
% 39.98/26.44 (v90(constB141, bitIndex1)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18665, 18658, 18606])).
% 39.98/26.44 tff(18667,plain,
% 39.98/26.44 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB141) | (~v125(constB141)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB141) | (~v125(constB141)))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18668,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB141) | (~v125(constB141)))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18669,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB141) | (~v125(constB141))),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18668, 18667])).
% 39.98/26.44 tff(18670,plain,
% 39.98/26.44 (~v125(constB141)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18669, 1294, 18611])).
% 39.98/26.44 tff(18671,plain,
% 39.98/26.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex2)) | v125(constB141))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex2)) | v125(constB141))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18672,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex2)) | v125(constB141))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18673,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex2)) | v125(constB141)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18672, 18671])).
% 39.98/26.44 tff(18674,plain,
% 39.98/26.44 ((~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex2)) | v125(constB141)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18673, 1308, 18463])).
% 39.98/26.44 tff(18675,plain,
% 39.98/26.44 (~v90(constB141, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18674, 18666, 18670])).
% 39.98/26.44 tff(18676,plain,
% 39.98/26.44 ($false),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18635, 18675, 18666, 18619])).
% 39.98/26.44 tff(18677,plain,(v90(constB142, bitIndex0) | v90(constB141, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.44 tff(18678,plain,
% 39.98/26.44 (v90(constB142, bitIndex0)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18677, 18462])).
% 39.98/26.44 tff(18679,plain,
% 39.98/26.44 ((~v1(constB143)) <=> (~v1(constB143))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18680,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 39.98/26.44 tff(18681,plain,
% 39.98/26.44 (~v1(constB143)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18680, 18679])).
% 39.98/26.44 tff(18682,plain,
% 39.98/26.44 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18683,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 39.98/26.44 tff(18684,plain,
% 39.98/26.44 (nextState(constB142, constB143)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18683, 18682])).
% 39.98/26.44 tff(18685,plain,
% 39.98/26.44 (((~![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)))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18686,plain,
% 39.98/26.44 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18687,plain,
% 39.98/26.44 (((~![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))))),
% 39.98/26.44 inference(monotonicity,[status(thm)],[18686])).
% 39.98/26.44 tff(18688,plain,
% 39.98/26.44 (((~![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)))),
% 39.98/26.44 inference(transitivity,[status(thm)],[18687, 18685])).
% 39.98/26.44 tff(18689,plain,
% 39.98/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18690,plain,
% 39.98/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18689, 18688])).
% 39.98/26.44 tff(18691,plain,
% 39.98/26.44 (~v101(constB143)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18690, 133, 18684, 18681])).
% 39.98/26.44 tff(18692,plain,
% 39.98/26.44 (((~![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)))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18693,plain,
% 39.98/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18694,plain,
% 39.98/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18693, 18692])).
% 39.98/26.44 tff(18695,plain,
% 39.98/26.44 (v101(constB143) | (~v100(constB143))),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18694, 150, 18684])).
% 39.98/26.44 tff(18696,plain,
% 39.98/26.44 (~v100(constB143)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18695, 18691])).
% 39.98/26.44 tff(18697,plain,
% 39.98/26.44 (((~![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))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18698,plain,
% 39.98/26.44 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18699,plain,
% 39.98/26.44 (((~![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)))),
% 39.98/26.44 inference(monotonicity,[status(thm)],[18698])).
% 39.98/26.44 tff(18700,plain,
% 39.98/26.44 (((~![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))),
% 39.98/26.44 inference(transitivity,[status(thm)],[18699, 18697])).
% 39.98/26.44 tff(18701,plain,
% 39.98/26.44 ((~![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))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18702,plain,
% 39.98/26.44 ((~![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)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18701, 18700])).
% 39.98/26.44 tff(18703,plain,
% 39.98/26.44 ((~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18702, 649, 18684])).
% 39.98/26.44 tff(18704,plain,
% 39.98/26.44 ((~v90(constB142, bitIndex0)) | v90(constB143, bitIndex0)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18703, 18696])).
% 39.98/26.44 tff(18705,plain,
% 39.98/26.44 (v90(constB143, bitIndex0)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18704, 18678])).
% 39.98/26.44 tff(18706,plain,
% 39.98/26.44 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18707,plain,
% 39.98/26.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18708,plain,
% 39.98/26.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18707, 18706])).
% 39.98/26.44 tff(18709,plain,
% 39.98/26.44 (v130(constB139, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18708, 1803, 18344])).
% 39.98/26.44 tff(18710,plain,
% 39.98/26.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18711,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18712,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18711, 18710])).
% 39.98/26.44 tff(18713,plain,
% 39.98/26.44 ((~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18712, 1821, 18364])).
% 39.98/26.44 tff(18714,plain,
% 39.98/26.44 (v127(constB139, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18713, 18709])).
% 39.98/26.44 tff(18715,plain,
% 39.98/26.44 (((~![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))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18716,plain,
% 39.98/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18717,plain,
% 39.98/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18716, 18715])).
% 39.98/26.44 tff(18718,plain,
% 39.98/26.44 ((~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18717, 1836, 18376])).
% 39.98/26.44 tff(18719,plain,
% 39.98/26.44 (v129(constB140, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18718, 18714])).
% 39.98/26.44 tff(18720,plain,
% 39.98/26.44 (((~![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)))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18721,plain,
% 39.98/26.44 ((v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18722,plain,
% 39.98/26.44 (((~![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))))),
% 39.98/26.44 inference(monotonicity,[status(thm)],[18721])).
% 39.98/26.44 tff(18723,plain,
% 39.98/26.44 (((~![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)))),
% 39.98/26.44 inference(transitivity,[status(thm)],[18722, 18720])).
% 39.98/26.44 tff(18724,plain,
% 39.98/26.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18725,plain,
% 39.98/26.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18724, 18723])).
% 39.98/26.44 tff(18726,plain,
% 39.98/26.44 (v90(constB140, bitIndex2) | (~v100(constB140))),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18725, 2100, 18719])).
% 39.98/26.44 tff(18727,plain,
% 39.98/26.44 (v90(constB140, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18726, 18410])).
% 39.98/26.44 tff(18728,plain,
% 39.98/26.44 (((~![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))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18729,plain,
% 39.98/26.44 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)) <=> ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18730,plain,
% 39.98/26.44 (((~![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)))),
% 39.98/26.44 inference(monotonicity,[status(thm)],[18729])).
% 39.98/26.44 tff(18731,plain,
% 39.98/26.44 (((~![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))),
% 39.98/26.44 inference(transitivity,[status(thm)],[18730, 18728])).
% 39.98/26.44 tff(18732,plain,
% 39.98/26.44 ((~![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))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18733,plain,
% 39.98/26.44 ((~![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)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18732, 18731])).
% 39.98/26.44 tff(18734,plain,
% 39.98/26.44 ((~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18733, 2118, 18441])).
% 39.98/26.44 tff(18735,plain,
% 39.98/26.44 ((~v90(constB140, bitIndex2)) | v90(constB141, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18734, 18453])).
% 39.98/26.44 tff(18736,plain,
% 39.98/26.44 (v90(constB141, bitIndex2)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18735, 18727])).
% 39.98/26.44 tff(18737,plain,
% 39.98/26.44 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18738,plain,
% 39.98/26.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18739,plain,
% 39.98/26.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1))),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18738, 18737])).
% 39.98/26.44 tff(18740,plain,
% 39.98/26.44 (~v130(constB139, bitIndex1)),
% 39.98/26.44 inference(unit_resolution,[status(thm)],[18739, 2137, 18344])).
% 39.98/26.44 tff(18741,plain,
% 39.98/26.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18742,plain,
% 39.98/26.44 ((v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1))) <=> ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 39.98/26.44 inference(rewrite,[status(thm)],[])).
% 39.98/26.44 tff(18743,plain,
% 39.98/26.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)))),
% 39.98/26.44 inference(monotonicity,[status(thm)],[18742])).
% 39.98/26.44 tff(18744,plain,
% 39.98/26.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 39.98/26.44 inference(transitivity,[status(thm)],[18743, 18741])).
% 39.98/26.44 tff(18745,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))),
% 39.98/26.44 inference(quant_inst,[status(thm)],[])).
% 39.98/26.44 tff(18746,plain,
% 39.98/26.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)),
% 39.98/26.44 inference(modus_ponens,[status(thm)],[18745, 18744])).
% 39.98/26.44 tff(18747,plain,
% 39.98/26.45 ((~v127(constB139, bitIndex1)) | v130(constB139, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18746, 527, 18364])).
% 39.98/26.45 tff(18748,plain,
% 39.98/26.45 (~v127(constB139, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18747, 18740])).
% 39.98/26.45 tff(18749,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18750,plain,
% 39.98/26.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18751,plain,
% 39.98/26.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18750, 18749])).
% 39.98/26.45 tff(18752,plain,
% 39.98/26.45 (v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18751, 545, 18376])).
% 39.98/26.45 tff(18753,plain,
% 39.98/26.45 (~v129(constB140, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18752, 18748])).
% 39.98/26.45 tff(18754,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18755,plain,
% 39.98/26.45 (((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1)) <=> ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18756,plain,
% 39.98/26.45 (((~![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))))),
% 39.98/26.45 inference(monotonicity,[status(thm)],[18755])).
% 39.98/26.45 tff(18757,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(transitivity,[status(thm)],[18756, 18754])).
% 39.98/26.45 tff(18758,plain,
% 39.98/26.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18759,plain,
% 39.98/26.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18758, 18757])).
% 39.98/26.45 tff(18760,plain,
% 39.98/26.45 ((~v90(constB140, bitIndex1)) | (~v100(constB140))),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18759, 560, 18753])).
% 39.98/26.45 tff(18761,plain,
% 39.98/26.45 (~v90(constB140, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18760, 18410])).
% 39.98/26.45 tff(18762,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18763,plain,
% 39.98/26.45 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))) <=> (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18764,plain,
% 39.98/26.45 (((~![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))))),
% 39.98/26.45 inference(monotonicity,[status(thm)],[18763])).
% 39.98/26.45 tff(18765,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(transitivity,[status(thm)],[18764, 18762])).
% 39.98/26.45 tff(18766,plain,
% 39.98/26.45 ((~![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)))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18767,plain,
% 39.98/26.45 ((~![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))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18766, 18765])).
% 39.98/26.45 tff(18768,plain,
% 39.98/26.45 (v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18767, 186, 18441])).
% 39.98/26.45 tff(18769,plain,
% 39.98/26.45 (v90(constB140, bitIndex1) | (~v90(constB141, bitIndex1))),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18768, 18453])).
% 39.98/26.45 tff(18770,plain,
% 39.98/26.45 (~v90(constB141, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18769, 18761])).
% 39.98/26.45 tff(18771,plain,
% 39.98/26.45 (v123(constB141)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18654, 1280, 18462, 18770, 18736])).
% 39.98/26.45 tff(18772,plain,
% 39.98/26.45 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v130(constB141, bitIndex1)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18773,plain,
% 39.98/26.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex1)))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18774,plain,
% 39.98/26.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v130(constB141, bitIndex1))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18773, 18772])).
% 39.98/26.45 tff(18775,plain,
% 39.98/26.45 (~v130(constB141, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18774, 1579, 18771])).
% 39.98/26.45 tff(18776,plain,
% 39.98/26.45 (((~![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))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18777,plain,
% 39.98/26.45 ((v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1))) <=> ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18778,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(monotonicity,[status(thm)],[18777])).
% 39.98/26.45 tff(18779,plain,
% 39.98/26.45 (((~![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))),
% 39.98/26.45 inference(transitivity,[status(thm)],[18778, 18776])).
% 39.98/26.45 tff(18780,plain,
% 39.98/26.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18781,plain,
% 39.98/26.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18780, 18779])).
% 39.98/26.45 tff(18782,plain,
% 39.98/26.45 ((~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18781, 527, 18467])).
% 39.98/26.45 tff(18783,plain,
% 39.98/26.45 (~v127(constB141, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18782, 18775])).
% 39.98/26.45 tff(18784,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18785,plain,
% 39.98/26.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18786,plain,
% 39.98/26.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18785, 18784])).
% 39.98/26.45 tff(18787,plain,
% 39.98/26.45 (v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18786, 545, 18482])).
% 39.98/26.45 tff(18788,plain,
% 39.98/26.45 (~v129(constB142, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18787, 18783])).
% 39.98/26.45 tff(18789,plain,
% 39.98/26.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18790,plain,
% 39.98/26.45 (((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0))) <=> (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18791,plain,
% 39.98/26.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0))))),
% 39.98/26.45 inference(monotonicity,[status(thm)],[18790])).
% 39.98/26.45 tff(18792,plain,
% 39.98/26.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 39.98/26.45 inference(transitivity,[status(thm)],[18791, 18789])).
% 39.98/26.45 tff(18793,plain,
% 39.98/26.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18794,plain,
% 39.98/26.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18793, 18792])).
% 39.98/26.45 tff(18795,plain,
% 39.98/26.45 (v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0))),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18794, 207, 18482])).
% 39.98/26.45 tff(18796,plain,
% 39.98/26.45 (v100(constB142)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18795, 18678, 18462])).
% 39.98/26.45 tff(18797,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18798,plain,
% 39.98/26.45 (((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18799,plain,
% 39.98/26.45 (((~![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))))),
% 39.98/26.45 inference(monotonicity,[status(thm)],[18798])).
% 39.98/26.45 tff(18800,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(transitivity,[status(thm)],[18799, 18797])).
% 39.98/26.45 tff(18801,plain,
% 39.98/26.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18802,plain,
% 39.98/26.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18801, 18800])).
% 39.98/26.45 tff(18803,plain,
% 39.98/26.45 ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18802, 560, 18796])).
% 39.98/26.45 tff(18804,plain,
% 39.98/26.45 (~v90(constB142, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18803, 18788])).
% 39.98/26.45 tff(18805,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18806,plain,
% 39.98/26.45 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18807,plain,
% 39.98/26.45 (((~![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))))),
% 39.98/26.45 inference(monotonicity,[status(thm)],[18806])).
% 39.98/26.45 tff(18808,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(transitivity,[status(thm)],[18807, 18805])).
% 39.98/26.45 tff(18809,plain,
% 39.98/26.45 ((~![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)))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18810,plain,
% 39.98/26.45 ((~![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))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18809, 18808])).
% 39.98/26.45 tff(18811,plain,
% 39.98/26.45 (v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18810, 186, 18684])).
% 39.98/26.45 tff(18812,plain,
% 39.98/26.45 (v90(constB142, bitIndex1) | (~v90(constB143, bitIndex1))),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18811, 18696])).
% 39.98/26.45 tff(18813,plain,
% 39.98/26.45 (~v90(constB143, bitIndex1)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18812, 18804])).
% 39.98/26.45 tff(18814,plain,
% 39.98/26.45 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18815,plain,
% 39.98/26.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18816,plain,
% 39.98/26.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2)),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18815, 18814])).
% 39.98/26.45 tff(18817,plain,
% 39.98/26.45 (v130(constB141, bitIndex2)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18816, 2165, 18771])).
% 39.98/26.45 tff(18818,plain,
% 39.98/26.45 (((~![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))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18819,plain,
% 39.98/26.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18820,plain,
% 39.98/26.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18819, 18818])).
% 39.98/26.45 tff(18821,plain,
% 39.98/26.45 ((~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18820, 1821, 18467])).
% 39.98/26.45 tff(18822,plain,
% 39.98/26.45 (v127(constB141, bitIndex2)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18821, 18817])).
% 39.98/26.45 tff(18823,plain,
% 39.98/26.45 (((~![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))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18824,plain,
% 39.98/26.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18825,plain,
% 39.98/26.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18824, 18823])).
% 39.98/26.45 tff(18826,plain,
% 39.98/26.45 ((~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18825, 1836, 18482])).
% 39.98/26.45 tff(18827,plain,
% 39.98/26.45 (v129(constB142, bitIndex2)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18826, 18822])).
% 39.98/26.45 tff(18828,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18829,plain,
% 39.98/26.45 ((v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18830,plain,
% 39.98/26.45 (((~![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))))),
% 39.98/26.45 inference(monotonicity,[status(thm)],[18829])).
% 39.98/26.45 tff(18831,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(transitivity,[status(thm)],[18830, 18828])).
% 39.98/26.45 tff(18832,plain,
% 39.98/26.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18833,plain,
% 39.98/26.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18832, 18831])).
% 39.98/26.45 tff(18834,plain,
% 39.98/26.45 (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2))),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18833, 2100, 18796])).
% 39.98/26.45 tff(18835,plain,
% 39.98/26.45 (v90(constB142, bitIndex2)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18834, 18827])).
% 39.98/26.45 tff(18836,plain,
% 39.98/26.45 (((~![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))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18837,plain,
% 39.98/26.45 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)) <=> ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18838,plain,
% 39.98/26.45 (((~![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)))),
% 39.98/26.45 inference(monotonicity,[status(thm)],[18837])).
% 39.98/26.45 tff(18839,plain,
% 39.98/26.45 (((~![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))),
% 39.98/26.45 inference(transitivity,[status(thm)],[18838, 18836])).
% 39.98/26.45 tff(18840,plain,
% 39.98/26.45 ((~![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))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18841,plain,
% 39.98/26.45 ((~![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)),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18840, 18839])).
% 39.98/26.45 tff(18842,plain,
% 39.98/26.45 ((~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18841, 2118, 18684])).
% 39.98/26.45 tff(18843,plain,
% 39.98/26.45 ((~v90(constB142, bitIndex2)) | v90(constB143, bitIndex2)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18842, 18696])).
% 39.98/26.45 tff(18844,plain,
% 39.98/26.45 (v90(constB143, bitIndex2)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18843, 18835])).
% 39.98/26.45 tff(18845,assumption,(~v124(constB143)), introduced(assumption)).
% 39.98/26.45 tff(18846,plain,
% 39.98/26.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18847,plain,
% 39.98/26.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18848,plain,
% 39.98/26.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143)),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18847, 18846])).
% 39.98/26.45 tff(18849,plain,
% 39.98/26.45 ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2))),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18848, 1264, 18845])).
% 39.98/26.45 tff(18850,plain,
% 39.98/26.45 ($false),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18849, 18844, 18813, 18705])).
% 39.98/26.45 tff(18851,plain,((~v122(constB139)) | v124(constB143)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.45 tff(18852,plain,
% 39.98/26.45 (v124(constB143)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18851, 18343])).
% 39.98/26.45 tff(18853,plain,
% 39.98/26.45 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB143) | (~v124(constB143)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB143) | (~v124(constB143)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18854,plain,
% 39.98/26.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB143) | (~v124(constB143)))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18855,plain,
% 39.98/26.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB143) | (~v124(constB143))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18854, 18853])).
% 39.98/26.45 tff(18856,plain,
% 39.98/26.45 (v114(constB143)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18855, 1236, 18852])).
% 39.98/26.45 tff(18857,plain,
% 39.98/26.45 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143)))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18858,plain,
% 39.98/26.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18859,plain,
% 39.98/26.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143))),
% 39.98/26.45 inference(modus_ponens,[status(thm)],[18858, 18857])).
% 39.98/26.45 tff(18860,plain,
% 39.98/26.45 (v113(constB143)),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18859, 294, 18856])).
% 39.98/26.45 tff(18861,assumption,(v26(constB143)), introduced(assumption)).
% 39.98/26.45 tff(18862,plain,
% 39.98/26.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 39.98/26.45 inference(quant_inst,[status(thm)],[])).
% 39.98/26.45 tff(18863,plain,
% 39.98/26.45 ($false),
% 39.98/26.45 inference(unit_resolution,[status(thm)],[18862, 86, 18861])).
% 39.98/26.45 tff(18864,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.45 tff(18865,plain,
% 39.98/26.45 (((~![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))),
% 39.98/26.45 inference(rewrite,[status(thm)],[])).
% 39.98/26.45 tff(18866,plain,
% 39.98/26.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18867,plain,
% 39.98/26.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | (~v113(constB143)) | v112(constB143)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18866, 18865])).
% 39.98/26.46 tff(18868,plain,
% 39.98/26.46 ((~v113(constB143)) | v112(constB143)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18867, 308, 18864])).
% 39.98/26.46 tff(18869,plain,
% 39.98/26.46 (v112(constB143)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18868, 18860])).
% 39.98/26.46 tff(18870,plain,
% 39.98/26.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18871,plain,
% 39.98/26.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18872,plain,
% 39.98/26.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143))),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18871, 18870])).
% 39.98/26.46 tff(18873,plain,
% 39.98/26.46 (v108(constB143)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18872, 320, 18869])).
% 39.98/26.46 tff(18874,plain,
% 39.98/26.46 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18875,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 39.98/26.46 tff(18876,plain,
% 39.98/26.46 (nextState(constB143, constB144)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18875, 18874])).
% 39.98/26.46 tff(18877,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18878,plain,
% 39.98/26.46 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18879,plain,
% 39.98/26.46 (((~![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))))),
% 39.98/26.46 inference(monotonicity,[status(thm)],[18878])).
% 39.98/26.46 tff(18880,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(transitivity,[status(thm)],[18879, 18877])).
% 39.98/26.46 tff(18881,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18882,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18881, 18880])).
% 39.98/26.46 tff(18883,plain,
% 39.98/26.46 (v110(constB144) | (~v108(constB143))),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18882, 337, 18876])).
% 39.98/26.46 tff(18884,plain,
% 39.98/26.46 (v110(constB144)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18883, 18873])).
% 39.98/26.46 tff(18885,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18886,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18887,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18886, 18885])).
% 39.98/26.46 tff(18888,plain,
% 39.98/26.46 (~v104(constB144)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18887, 355, 18876, 18681])).
% 39.98/26.46 tff(18889,plain,
% 39.98/26.46 (((~![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))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18890,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18891,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18890, 18889])).
% 39.98/26.46 tff(18892,plain,
% 39.98/26.46 (v102(constB144) | v104(constB144)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18891, 369, 18876])).
% 39.98/26.46 tff(18893,plain,
% 39.98/26.46 (v102(constB144)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18892, 18888])).
% 39.98/26.46 tff(18894,plain,
% 39.98/26.46 (v1(constB144) <=> v1(constB144)),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18895,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 39.98/26.46 tff(18896,plain,
% 39.98/26.46 (v1(constB144)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18895, 18894])).
% 39.98/26.46 tff(18897,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18898,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18899,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18898, 18897])).
% 39.98/26.46 tff(18900,plain,
% 39.98/26.46 (v101(constB144) | (~v102(constB144))),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18899, 387, 18876, 18896])).
% 39.98/26.46 tff(18901,plain,
% 39.98/26.46 (v101(constB144)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18900, 18893])).
% 39.98/26.46 tff(18902,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18903,plain,
% 39.98/26.46 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18904,plain,
% 39.98/26.46 (((~![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))))),
% 39.98/26.46 inference(monotonicity,[status(thm)],[18903])).
% 39.98/26.46 tff(18905,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(transitivity,[status(thm)],[18904, 18902])).
% 39.98/26.46 tff(18906,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18907,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18906, 18905])).
% 39.98/26.46 tff(18908,plain,
% 39.98/26.46 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18907, 402, 18876])).
% 39.98/26.46 tff(18909,plain,
% 39.98/26.46 (v100(constB144) | (~v110(constB144))),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18908, 18901])).
% 39.98/26.46 tff(18910,plain,
% 39.98/26.46 (v100(constB144)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18909, 18884])).
% 39.98/26.46 tff(18911,plain,
% 39.98/26.46 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18912,plain,
% 39.98/26.46 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18913,plain,
% 39.98/26.46 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18912, 18911])).
% 39.98/26.46 tff(18914,plain,
% 39.98/26.46 (v130(constB143, bitIndex1)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18913, 2347, 18852])).
% 39.98/26.46 tff(18915,plain,
% 39.98/26.46 (((~![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))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18916,plain,
% 39.98/26.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18917,plain,
% 39.98/26.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18916, 18915])).
% 39.98/26.46 tff(18918,plain,
% 39.98/26.46 ((~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18917, 882, 18864])).
% 39.98/26.46 tff(18919,plain,
% 39.98/26.46 (v127(constB143, bitIndex1)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18918, 18914])).
% 39.98/26.46 tff(18920,plain,
% 39.98/26.46 (((~![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))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18921,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18922,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18921, 18920])).
% 39.98/26.46 tff(18923,plain,
% 39.98/26.46 ((~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18922, 897, 18876])).
% 39.98/26.46 tff(18924,plain,
% 39.98/26.46 (v129(constB144, bitIndex1)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18923, 18919])).
% 39.98/26.46 tff(18925,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18926,plain,
% 39.98/26.46 ((v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18927,plain,
% 39.98/26.46 (((~![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))))),
% 39.98/26.46 inference(monotonicity,[status(thm)],[18926])).
% 39.98/26.46 tff(18928,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(transitivity,[status(thm)],[18927, 18925])).
% 39.98/26.46 tff(18929,plain,
% 39.98/26.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18930,plain,
% 39.98/26.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18929, 18928])).
% 39.98/26.46 tff(18931,plain,
% 39.98/26.46 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18930, 912, 18924])).
% 39.98/26.46 tff(18932,plain,
% 39.98/26.46 (v90(constB144, bitIndex1)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18931, 18910])).
% 39.98/26.46 tff(18933,plain,
% 39.98/26.46 ((~v1(constB145)) <=> (~v1(constB145))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18934,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 39.98/26.46 tff(18935,plain,
% 39.98/26.46 (~v1(constB145)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18934, 18933])).
% 39.98/26.46 tff(18936,plain,
% 39.98/26.46 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18937,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 39.98/26.46 tff(18938,plain,
% 39.98/26.46 (nextState(constB144, constB145)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18937, 18936])).
% 39.98/26.46 tff(18939,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18940,plain,
% 39.98/26.46 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18941,plain,
% 39.98/26.46 (((~![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))))),
% 39.98/26.46 inference(monotonicity,[status(thm)],[18940])).
% 39.98/26.46 tff(18942,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(transitivity,[status(thm)],[18941, 18939])).
% 39.98/26.46 tff(18943,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18944,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18943, 18942])).
% 39.98/26.46 tff(18945,plain,
% 39.98/26.46 (~v101(constB145)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18944, 133, 18938, 18935])).
% 39.98/26.46 tff(18946,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18947,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18948,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18947, 18946])).
% 39.98/26.46 tff(18949,plain,
% 39.98/26.46 (v101(constB145) | (~v100(constB145))),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18948, 150, 18938])).
% 39.98/26.46 tff(18950,plain,
% 39.98/26.46 (~v100(constB145)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18949, 18945])).
% 39.98/26.46 tff(18951,plain,
% 39.98/26.46 (((~![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))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18952,plain,
% 39.98/26.46 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18953,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(monotonicity,[status(thm)],[18952])).
% 39.98/26.46 tff(18954,plain,
% 39.98/26.46 (((~![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))),
% 39.98/26.46 inference(transitivity,[status(thm)],[18953, 18951])).
% 39.98/26.46 tff(18955,plain,
% 39.98/26.46 ((~![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))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18956,plain,
% 39.98/26.46 ((~![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)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18955, 18954])).
% 39.98/26.46 tff(18957,plain,
% 39.98/26.46 ((~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18956, 1049, 18938])).
% 39.98/26.46 tff(18958,plain,
% 39.98/26.46 ((~v90(constB144, bitIndex1)) | v90(constB145, bitIndex1)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18957, 18950])).
% 39.98/26.46 tff(18959,plain,
% 39.98/26.46 (v90(constB145, bitIndex1)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18958, 18932])).
% 39.98/26.46 tff(18960,plain,
% 39.98/26.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18961,plain,
% 39.98/26.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18962,plain,
% 39.98/26.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145))),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18961, 18960])).
% 39.98/26.46 tff(18963,plain,
% 39.98/26.46 (~v124(constB145)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18962, 2637, 18959])).
% 39.98/26.46 tff(18964,assumption,(v124(constB143)), introduced(assumption)).
% 39.98/26.46 tff(18965,plain,
% 39.98/26.46 (v114(constB143)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18855, 1236, 18964])).
% 39.98/26.46 tff(18966,plain,
% 39.98/26.46 (v113(constB143)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18859, 294, 18965])).
% 39.98/26.46 tff(18967,plain,
% 39.98/26.46 (v112(constB143)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18868, 18966])).
% 39.98/26.46 tff(18968,plain,
% 39.98/26.46 (v108(constB143)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18872, 320, 18967])).
% 39.98/26.46 tff(18969,plain,
% 39.98/26.46 (v110(constB144)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18883, 18968])).
% 39.98/26.46 tff(18970,plain,
% 39.98/26.46 (v100(constB144)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18909, 18969])).
% 39.98/26.46 tff(18971,plain,
% 39.98/26.46 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB143)) | v130(constB143, bitIndex2))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18972,plain,
% 39.98/26.46 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB143)) | v130(constB143, bitIndex2))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18973,plain,
% 39.98/26.46 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB143)) | v130(constB143, bitIndex2)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18972, 18971])).
% 39.98/26.46 tff(18974,plain,
% 39.98/26.46 (v130(constB143, bitIndex2)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18973, 2303, 18964])).
% 39.98/26.46 tff(18975,plain,
% 39.98/26.46 (((~![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))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18976,plain,
% 39.98/26.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18977,plain,
% 39.98/26.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18976, 18975])).
% 39.98/26.46 tff(18978,plain,
% 39.98/26.46 ((~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18977, 1821, 18864])).
% 39.98/26.46 tff(18979,plain,
% 39.98/26.46 (v127(constB143, bitIndex2)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18978, 18974])).
% 39.98/26.46 tff(18980,plain,
% 39.98/26.46 (((~![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))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18981,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18982,plain,
% 39.98/26.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18981, 18980])).
% 39.98/26.46 tff(18983,plain,
% 39.98/26.46 ((~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18982, 1836, 18876])).
% 39.98/26.46 tff(18984,plain,
% 39.98/26.46 (v129(constB144, bitIndex2)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18983, 18979])).
% 39.98/26.46 tff(18985,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18986,plain,
% 39.98/26.46 ((v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18987,plain,
% 39.98/26.46 (((~![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))))),
% 39.98/26.46 inference(monotonicity,[status(thm)],[18986])).
% 39.98/26.46 tff(18988,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(transitivity,[status(thm)],[18987, 18985])).
% 39.98/26.46 tff(18989,plain,
% 39.98/26.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))),
% 39.98/26.46 inference(quant_inst,[status(thm)],[])).
% 39.98/26.46 tff(18990,plain,
% 39.98/26.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 39.98/26.46 inference(modus_ponens,[status(thm)],[18989, 18988])).
% 39.98/26.46 tff(18991,plain,
% 39.98/26.46 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18990, 2100, 18984])).
% 39.98/26.46 tff(18992,plain,
% 39.98/26.46 (v90(constB144, bitIndex2)),
% 39.98/26.46 inference(unit_resolution,[status(thm)],[18991, 18970])).
% 39.98/26.46 tff(18993,plain,
% 39.98/26.46 (((~![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))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18994,plain,
% 39.98/26.46 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)) <=> ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 39.98/26.46 inference(rewrite,[status(thm)],[])).
% 39.98/26.46 tff(18995,plain,
% 39.98/26.46 (((~![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)))),
% 39.98/26.46 inference(monotonicity,[status(thm)],[18994])).
% 39.98/26.46 tff(18996,plain,
% 39.98/26.46 (((~![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))),
% 39.98/26.46 inference(transitivity,[status(thm)],[18995, 18993])).
% 39.98/26.46 tff(18997,plain,
% 39.98/26.46 ((~![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))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(18998,plain,
% 39.98/26.47 ((~![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)),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[18997, 18996])).
% 39.98/26.47 tff(18999,plain,
% 39.98/26.47 ((~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[18998, 2118, 18938])).
% 39.98/26.47 tff(19000,plain,
% 39.98/26.47 ((~v90(constB144, bitIndex2)) | v90(constB145, bitIndex2)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[18999, 18950])).
% 39.98/26.47 tff(19001,plain,
% 39.98/26.47 (v90(constB145, bitIndex2)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19000, 18992])).
% 39.98/26.47 tff(19002,plain,
% 39.98/26.47 (v130(constB143, bitIndex1)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[18913, 2347, 18964])).
% 39.98/26.47 tff(19003,plain,
% 39.98/26.47 (v127(constB143, bitIndex1)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[18918, 19002])).
% 39.98/26.47 tff(19004,plain,
% 39.98/26.47 (v129(constB144, bitIndex1)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[18923, 19003])).
% 39.98/26.47 tff(19005,plain,
% 39.98/26.47 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[18930, 912, 19004])).
% 39.98/26.47 tff(19006,plain,
% 39.98/26.47 (v90(constB144, bitIndex1)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19005, 18970])).
% 39.98/26.47 tff(19007,plain,
% 39.98/26.47 (v90(constB145, bitIndex1)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[18958, 19006])).
% 39.98/26.47 tff(19008,plain,
% 39.98/26.47 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB143)) | (~v130(constB143, bitIndex0)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19009,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex0)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19010,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB143)) | (~v130(constB143, bitIndex0))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19009, 19008])).
% 39.98/26.47 tff(19011,plain,
% 39.98/26.47 (~v130(constB143, bitIndex0)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19010, 1519, 18964])).
% 39.98/26.47 tff(19012,plain,
% 39.98/26.47 (((~![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))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19013,plain,
% 39.98/26.47 ((v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0))) <=> ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19014,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(monotonicity,[status(thm)],[19013])).
% 39.98/26.47 tff(19015,plain,
% 39.98/26.47 (((~![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))),
% 39.98/26.47 inference(transitivity,[status(thm)],[19014, 19012])).
% 39.98/26.47 tff(19016,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19017,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 39.98/26.47 tff(19018,plain,
% 39.98/26.47 ((~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19017, 944, 18864])).
% 39.98/26.47 tff(19019,plain,
% 39.98/26.47 (~v127(constB143, bitIndex0)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19018, 19011])).
% 39.98/26.47 tff(19020,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19021,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19022,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19021, 19020])).
% 39.98/26.47 tff(19023,plain,
% 39.98/26.47 (v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19022, 962, 18876])).
% 39.98/26.47 tff(19024,plain,
% 39.98/26.47 (~v129(constB144, bitIndex0)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19023, 19019])).
% 39.98/26.47 tff(19025,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19026,plain,
% 39.98/26.47 (((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19027,plain,
% 39.98/26.47 (((~![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))))),
% 39.98/26.47 inference(monotonicity,[status(thm)],[19026])).
% 39.98/26.47 tff(19028,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(transitivity,[status(thm)],[19027, 19025])).
% 39.98/26.47 tff(19029,plain,
% 39.98/26.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19030,plain,
% 39.98/26.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19029, 19028])).
% 39.98/26.47 tff(19031,plain,
% 39.98/26.47 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19030, 977, 19024])).
% 39.98/26.47 tff(19032,plain,
% 39.98/26.47 (~v90(constB144, bitIndex0)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19031, 18970])).
% 39.98/26.47 tff(19033,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19034,plain,
% 39.98/26.47 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19035,plain,
% 39.98/26.47 (((~![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))))),
% 39.98/26.47 inference(monotonicity,[status(thm)],[19034])).
% 39.98/26.47 tff(19036,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(transitivity,[status(thm)],[19035, 19033])).
% 39.98/26.47 tff(19037,plain,
% 39.98/26.47 ((~![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)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19038,plain,
% 39.98/26.47 ((~![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))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19037, 19036])).
% 39.98/26.47 tff(19039,plain,
% 39.98/26.47 (v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19038, 207, 18938])).
% 39.98/26.47 tff(19040,plain,
% 39.98/26.47 (v90(constB144, bitIndex0) | (~v90(constB145, bitIndex0))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19039, 18950])).
% 39.98/26.47 tff(19041,plain,
% 39.98/26.47 (~v90(constB145, bitIndex0)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19040, 19032])).
% 39.98/26.47 tff(19042,plain,
% 39.98/26.47 (((~![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))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19043,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19044,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19043, 19042])).
% 39.98/26.47 tff(19045,plain,
% 39.98/26.47 (v125(constB145)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19044, 1308, 19041, 19007, 19001])).
% 39.98/26.47 tff(19046,plain,
% 39.98/26.47 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19047,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19048,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19047, 19046])).
% 39.98/26.47 tff(19049,plain,
% 39.98/26.47 (v113(constB145)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19048, 1294, 19045])).
% 39.98/26.47 tff(19050,assumption,(v26(constB145)), introduced(assumption)).
% 39.98/26.47 tff(19051,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19052,plain,
% 39.98/26.47 ($false),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19051, 86, 19050])).
% 39.98/26.47 tff(19053,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.47 tff(19054,plain,
% 39.98/26.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19055,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19056,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | (~v113(constB145)) | v112(constB145)),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19055, 19054])).
% 39.98/26.47 tff(19057,plain,
% 39.98/26.47 ((~v113(constB145)) | v112(constB145)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19056, 308, 19053])).
% 39.98/26.47 tff(19058,plain,
% 39.98/26.47 (v112(constB145)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19057, 19049])).
% 39.98/26.47 tff(19059,plain,
% 39.98/26.47 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19060,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19061,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19060, 19059])).
% 39.98/26.47 tff(19062,plain,
% 39.98/26.47 (v108(constB145)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19061, 320, 19058])).
% 39.98/26.47 tff(19063,plain,
% 39.98/26.47 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19064,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 39.98/26.47 tff(19065,plain,
% 39.98/26.47 (nextState(constB145, constB146)),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19064, 19063])).
% 39.98/26.47 tff(19066,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19067,plain,
% 39.98/26.47 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19068,plain,
% 39.98/26.47 (((~![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))))),
% 39.98/26.47 inference(monotonicity,[status(thm)],[19067])).
% 39.98/26.47 tff(19069,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(transitivity,[status(thm)],[19068, 19066])).
% 39.98/26.47 tff(19070,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19071,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19070, 19069])).
% 39.98/26.47 tff(19072,plain,
% 39.98/26.47 (v110(constB146) | (~v108(constB145))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19071, 337, 19065])).
% 39.98/26.47 tff(19073,plain,
% 39.98/26.47 (v110(constB146)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19072, 19062])).
% 39.98/26.47 tff(19074,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19075,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19076,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19075, 19074])).
% 39.98/26.47 tff(19077,plain,
% 39.98/26.47 (~v104(constB146)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19076, 355, 19065, 18935])).
% 39.98/26.47 tff(19078,plain,
% 39.98/26.47 (((~![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))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19079,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19080,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19079, 19078])).
% 39.98/26.47 tff(19081,plain,
% 39.98/26.47 (v102(constB146) | v104(constB146)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19080, 369, 19065])).
% 39.98/26.47 tff(19082,plain,
% 39.98/26.47 (v102(constB146)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19081, 19077])).
% 39.98/26.47 tff(19083,plain,
% 39.98/26.47 (v1(constB146) <=> v1(constB146)),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19084,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 39.98/26.47 tff(19085,plain,
% 39.98/26.47 (v1(constB146)),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 39.98/26.47 tff(19086,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19087,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19088,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19087, 19086])).
% 39.98/26.47 tff(19089,plain,
% 39.98/26.47 (v101(constB146) | (~v102(constB146))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19088, 387, 19065, 19085])).
% 39.98/26.47 tff(19090,plain,
% 39.98/26.47 (v101(constB146)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19089, 19082])).
% 39.98/26.47 tff(19091,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19092,plain,
% 39.98/26.47 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19093,plain,
% 39.98/26.47 (((~![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))))),
% 39.98/26.47 inference(monotonicity,[status(thm)],[19092])).
% 39.98/26.47 tff(19094,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(transitivity,[status(thm)],[19093, 19091])).
% 39.98/26.47 tff(19095,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19096,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19095, 19094])).
% 39.98/26.47 tff(19097,plain,
% 39.98/26.47 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19096, 402, 19065])).
% 39.98/26.47 tff(19098,plain,
% 39.98/26.47 (v100(constB146) | (~v110(constB146))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19097, 19090])).
% 39.98/26.47 tff(19099,plain,
% 39.98/26.47 (v100(constB146)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19098, 19073])).
% 39.98/26.47 tff(19100,plain,
% 39.98/26.47 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19101,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19102,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19101, 19100])).
% 39.98/26.47 tff(19103,plain,
% 39.98/26.47 (~v119(constB145)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19102, 2604, 19007])).
% 39.98/26.47 tff(19104,plain,
% 39.98/26.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19105,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19106,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19105, 19104])).
% 39.98/26.47 tff(19107,plain,
% 39.98/26.47 (~v120(constB145)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19106, 2615, 19007])).
% 39.98/26.47 tff(19108,plain,
% 39.98/26.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19109,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19110,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19109, 19108])).
% 39.98/26.47 tff(19111,plain,
% 39.98/26.47 (~v121(constB145)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19110, 2586, 19001])).
% 39.98/26.47 tff(19112,plain,
% 39.98/26.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19113,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19114,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19113, 19112])).
% 39.98/26.47 tff(19115,plain,
% 39.98/26.47 (~v122(constB145)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19114, 3526, 19001])).
% 39.98/26.47 tff(19116,plain,
% 39.98/26.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19117,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19118,plain,
% 39.98/26.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19117, 19116])).
% 39.98/26.47 tff(19119,plain,
% 39.98/26.47 (~v123(constB145)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19118, 2626, 19007])).
% 39.98/26.47 tff(19120,assumption,(~v124(constB145)), introduced(assumption)).
% 39.98/26.47 tff(19121,plain,
% 39.98/26.47 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19122,plain,
% 39.98/26.47 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2))) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19123,plain,
% 39.98/26.47 (((~![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)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2))))),
% 39.98/26.47 inference(monotonicity,[status(thm)],[19122])).
% 39.98/26.47 tff(19124,plain,
% 39.98/26.47 (((~![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)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2)))),
% 39.98/26.47 inference(transitivity,[status(thm)],[19123, 19121])).
% 39.98/26.47 tff(19125,plain,
% 39.98/26.47 ((~![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)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19126,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19125, 19124])).
% 39.98/26.47 tff(19127,plain,
% 39.98/26.47 (v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex2))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19126, 1993, 19120])).
% 39.98/26.47 tff(19128,plain,
% 39.98/26.47 (~v130(constB145, bitIndex2)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19127, 19119, 19115, 19111, 19107, 19103])).
% 39.98/26.47 tff(19129,plain,
% 39.98/26.47 (((~![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))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19130,plain,
% 39.98/26.47 ((v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2))) <=> ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19131,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(monotonicity,[status(thm)],[19130])).
% 39.98/26.47 tff(19132,plain,
% 39.98/26.47 (((~![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))),
% 39.98/26.47 inference(transitivity,[status(thm)],[19131, 19129])).
% 39.98/26.47 tff(19133,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19134,plain,
% 39.98/26.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19133, 19132])).
% 39.98/26.47 tff(19135,plain,
% 39.98/26.47 ((~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19134, 435, 19053])).
% 39.98/26.47 tff(19136,plain,
% 39.98/26.47 (~v127(constB145, bitIndex2)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19135, 19128])).
% 39.98/26.47 tff(19137,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19138,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 39.98/26.47 inference(quant_inst,[status(thm)],[])).
% 39.98/26.47 tff(19139,plain,
% 39.98/26.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 39.98/26.47 inference(modus_ponens,[status(thm)],[19138, 19137])).
% 39.98/26.47 tff(19140,plain,
% 39.98/26.47 (v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19139, 453, 19065])).
% 39.98/26.47 tff(19141,plain,
% 39.98/26.47 (~v129(constB146, bitIndex2)),
% 39.98/26.47 inference(unit_resolution,[status(thm)],[19140, 19136])).
% 39.98/26.47 tff(19142,plain,
% 39.98/26.47 (((~![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)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19143,plain,
% 39.98/26.47 (((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2)) <=> ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 39.98/26.47 inference(rewrite,[status(thm)],[])).
% 39.98/26.47 tff(19144,plain,
% 39.98/26.47 (((~![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))))),
% 39.98/26.48 inference(monotonicity,[status(thm)],[19143])).
% 39.98/26.48 tff(19145,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(transitivity,[status(thm)],[19144, 19142])).
% 39.98/26.48 tff(19146,plain,
% 39.98/26.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19147,plain,
% 39.98/26.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19146, 19145])).
% 39.98/26.48 tff(19148,plain,
% 39.98/26.48 ((~v90(constB146, bitIndex2)) | (~v100(constB146))),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19147, 468, 19141])).
% 39.98/26.48 tff(19149,plain,
% 39.98/26.48 (~v90(constB146, bitIndex2)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19148, 19099])).
% 39.98/26.48 tff(19150,plain,
% 39.98/26.48 ((~v1(constB147)) <=> (~v1(constB147))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19151,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 39.98/26.48 tff(19152,plain,
% 39.98/26.48 (~v1(constB147)),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 39.98/26.48 tff(19153,plain,
% 39.98/26.48 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19154,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 39.98/26.48 tff(19155,plain,
% 39.98/26.48 (nextState(constB146, constB147)),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19154, 19153])).
% 39.98/26.48 tff(19156,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19157,plain,
% 39.98/26.48 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19158,plain,
% 39.98/26.48 (((~![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))))),
% 39.98/26.48 inference(monotonicity,[status(thm)],[19157])).
% 39.98/26.48 tff(19159,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(transitivity,[status(thm)],[19158, 19156])).
% 39.98/26.48 tff(19160,plain,
% 39.98/26.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19161,plain,
% 39.98/26.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19160, 19159])).
% 39.98/26.48 tff(19162,plain,
% 39.98/26.48 (~v101(constB147)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19161, 133, 19155, 19152])).
% 39.98/26.48 tff(19163,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19164,plain,
% 39.98/26.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19165,plain,
% 39.98/26.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19164, 19163])).
% 39.98/26.48 tff(19166,plain,
% 39.98/26.48 (v101(constB147) | (~v100(constB147))),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19165, 150, 19155])).
% 39.98/26.48 tff(19167,plain,
% 39.98/26.48 (~v100(constB147)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19166, 19162])).
% 39.98/26.48 tff(19168,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19169,plain,
% 39.98/26.48 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19170,plain,
% 39.98/26.48 (((~![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))))),
% 39.98/26.48 inference(monotonicity,[status(thm)],[19169])).
% 39.98/26.48 tff(19171,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(transitivity,[status(thm)],[19170, 19168])).
% 39.98/26.48 tff(19172,plain,
% 39.98/26.48 ((~![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)))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19173,plain,
% 39.98/26.48 ((~![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))),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19172, 19171])).
% 39.98/26.48 tff(19174,plain,
% 39.98/26.48 (v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19173, 165, 19155])).
% 39.98/26.48 tff(19175,plain,
% 39.98/26.48 (v90(constB146, bitIndex2) | (~v90(constB147, bitIndex2))),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19174, 19167])).
% 39.98/26.48 tff(19176,plain,
% 39.98/26.48 (~v90(constB147, bitIndex2)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19175, 19149])).
% 39.98/26.48 tff(19177,plain,
% 39.98/26.48 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19178,plain,
% 39.98/26.48 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0)) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19179,plain,
% 39.98/26.48 (((~![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))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0)))),
% 39.98/26.48 inference(monotonicity,[status(thm)],[19178])).
% 39.98/26.48 tff(19180,plain,
% 39.98/26.48 (((~![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))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0))),
% 39.98/26.48 inference(transitivity,[status(thm)],[19179, 19177])).
% 39.98/26.48 tff(19181,plain,
% 39.98/26.48 ((~![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))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19182,plain,
% 39.98/26.48 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0)),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19181, 19180])).
% 39.98/26.48 tff(19183,plain,
% 39.98/26.48 (v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | v130(constB145, bitIndex0)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19182, 2753, 19120])).
% 39.98/26.48 tff(19184,plain,
% 39.98/26.48 (v130(constB145, bitIndex0)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19183, 19119, 19115, 19111, 19107, 19103])).
% 39.98/26.48 tff(19185,plain,
% 39.98/26.48 (((~![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))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19186,plain,
% 39.98/26.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19187,plain,
% 39.98/26.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19186, 19185])).
% 39.98/26.48 tff(19188,plain,
% 39.98/26.48 ((~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19187, 601, 19053])).
% 39.98/26.48 tff(19189,plain,
% 39.98/26.48 (v127(constB145, bitIndex0)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19188, 19184])).
% 39.98/26.48 tff(19190,plain,
% 39.98/26.48 (((~![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))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19191,plain,
% 39.98/26.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19192,plain,
% 39.98/26.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19191, 19190])).
% 39.98/26.48 tff(19193,plain,
% 39.98/26.48 ((~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19192, 616, 19065])).
% 39.98/26.48 tff(19194,plain,
% 39.98/26.48 (v129(constB146, bitIndex0)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19193, 19189])).
% 39.98/26.48 tff(19195,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19196,plain,
% 39.98/26.48 ((v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19197,plain,
% 39.98/26.48 (((~![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))))),
% 39.98/26.48 inference(monotonicity,[status(thm)],[19196])).
% 39.98/26.48 tff(19198,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(transitivity,[status(thm)],[19197, 19195])).
% 39.98/26.48 tff(19199,plain,
% 39.98/26.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19200,plain,
% 39.98/26.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19199, 19198])).
% 39.98/26.48 tff(19201,plain,
% 39.98/26.48 (v90(constB146, bitIndex0) | (~v100(constB146))),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19200, 631, 19194])).
% 39.98/26.48 tff(19202,plain,
% 39.98/26.48 (v90(constB146, bitIndex0)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19201, 19099])).
% 39.98/26.48 tff(19203,plain,
% 39.98/26.48 (((~![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))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19204,plain,
% 39.98/26.48 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19205,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(monotonicity,[status(thm)],[19204])).
% 39.98/26.48 tff(19206,plain,
% 39.98/26.48 (((~![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))),
% 39.98/26.48 inference(transitivity,[status(thm)],[19205, 19203])).
% 39.98/26.48 tff(19207,plain,
% 39.98/26.48 ((~![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))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19208,plain,
% 39.98/26.48 ((~![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)),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19207, 19206])).
% 39.98/26.48 tff(19209,plain,
% 39.98/26.48 ((~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19208, 649, 19155])).
% 39.98/26.48 tff(19210,plain,
% 39.98/26.48 ((~v90(constB146, bitIndex0)) | v90(constB147, bitIndex0)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19209, 19167])).
% 39.98/26.48 tff(19211,plain,
% 39.98/26.48 (v90(constB147, bitIndex0)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19210, 19202])).
% 39.98/26.48 tff(19212,plain,
% 39.98/26.48 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19213,plain,
% 39.98/26.48 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1))) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19214,plain,
% 39.98/26.48 (((~![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)))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1))))),
% 39.98/26.48 inference(monotonicity,[status(thm)],[19213])).
% 39.98/26.48 tff(19215,plain,
% 39.98/26.48 (((~![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)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1)))),
% 39.98/26.48 inference(transitivity,[status(thm)],[19214, 19212])).
% 39.98/26.48 tff(19216,plain,
% 39.98/26.48 ((~![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)))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19217,plain,
% 39.98/26.48 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1))),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19216, 19215])).
% 39.98/26.48 tff(19218,plain,
% 39.98/26.48 (v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~v130(constB145, bitIndex1))),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19217, 1562, 19120])).
% 39.98/26.48 tff(19219,plain,
% 39.98/26.48 (~v130(constB145, bitIndex1)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19218, 19119, 19115, 19111, 19107, 19103])).
% 39.98/26.48 tff(19220,plain,
% 39.98/26.48 (((~![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))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19221,plain,
% 39.98/26.48 ((v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1))) <=> ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19222,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(monotonicity,[status(thm)],[19221])).
% 39.98/26.48 tff(19223,plain,
% 39.98/26.48 (((~![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))),
% 39.98/26.48 inference(transitivity,[status(thm)],[19222, 19220])).
% 39.98/26.48 tff(19224,plain,
% 39.98/26.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19225,plain,
% 39.98/26.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19224, 19223])).
% 39.98/26.48 tff(19226,plain,
% 39.98/26.48 ((~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19225, 527, 19053])).
% 39.98/26.48 tff(19227,plain,
% 39.98/26.48 (~v127(constB145, bitIndex1)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19226, 19219])).
% 39.98/26.48 tff(19228,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19229,plain,
% 39.98/26.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19230,plain,
% 39.98/26.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19229, 19228])).
% 39.98/26.48 tff(19231,plain,
% 39.98/26.48 (v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19230, 545, 19065])).
% 39.98/26.48 tff(19232,plain,
% 39.98/26.48 (~v129(constB146, bitIndex1)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19231, 19227])).
% 39.98/26.48 tff(19233,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19234,plain,
% 39.98/26.48 (((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19235,plain,
% 39.98/26.48 (((~![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))))),
% 39.98/26.48 inference(monotonicity,[status(thm)],[19234])).
% 39.98/26.48 tff(19236,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(transitivity,[status(thm)],[19235, 19233])).
% 39.98/26.48 tff(19237,plain,
% 39.98/26.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19238,plain,
% 39.98/26.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19237, 19236])).
% 39.98/26.48 tff(19239,plain,
% 39.98/26.48 ((~v90(constB146, bitIndex1)) | (~v100(constB146))),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19238, 560, 19232])).
% 39.98/26.48 tff(19240,plain,
% 39.98/26.48 (~v90(constB146, bitIndex1)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19239, 19099])).
% 39.98/26.48 tff(19241,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19242,plain,
% 39.98/26.48 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 39.98/26.48 inference(rewrite,[status(thm)],[])).
% 39.98/26.48 tff(19243,plain,
% 39.98/26.48 (((~![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))))),
% 39.98/26.48 inference(monotonicity,[status(thm)],[19242])).
% 39.98/26.48 tff(19244,plain,
% 39.98/26.48 (((~![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)))),
% 39.98/26.48 inference(transitivity,[status(thm)],[19243, 19241])).
% 39.98/26.48 tff(19245,plain,
% 39.98/26.48 ((~![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)))),
% 39.98/26.48 inference(quant_inst,[status(thm)],[])).
% 39.98/26.48 tff(19246,plain,
% 39.98/26.48 ((~![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))),
% 39.98/26.48 inference(modus_ponens,[status(thm)],[19245, 19244])).
% 39.98/26.48 tff(19247,plain,
% 39.98/26.48 (v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19246, 186, 19155])).
% 39.98/26.48 tff(19248,plain,
% 39.98/26.48 (v90(constB146, bitIndex1) | (~v90(constB147, bitIndex1))),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19247, 19167])).
% 39.98/26.48 tff(19249,plain,
% 39.98/26.48 (~v90(constB147, bitIndex1)),
% 39.98/26.48 inference(unit_resolution,[status(thm)],[19248, 19240])).
% 39.98/26.48 tff(19250,assumption,(~v120(constB147)), introduced(assumption)).
% 39.98/26.48 tff(19251,plain,
% 39.98/26.48 (((~![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))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19252,plain,
% 39.98/26.49 (((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)) <=> ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19253,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(monotonicity,[status(thm)],[19252])).
% 39.98/26.49 tff(19254,plain,
% 39.98/26.49 (((~![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))),
% 39.98/26.49 inference(transitivity,[status(thm)],[19253, 19251])).
% 39.98/26.49 tff(19255,plain,
% 39.98/26.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19256,plain,
% 39.98/26.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19255, 19254])).
% 39.98/26.49 tff(19257,plain,
% 39.98/26.49 ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19256, 668, 19250])).
% 39.98/26.49 tff(19258,plain,
% 39.98/26.49 ($false),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19257, 19249, 19211, 19176])).
% 39.98/26.49 tff(19259,plain,((~v124(constB143)) | v120(constB147) | v124(constB145)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.49 tff(19260,plain,
% 39.98/26.49 (v120(constB147)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19259, 18963, 18852])).
% 39.98/26.49 tff(19261,assumption,(v120(constB147)), introduced(assumption)).
% 39.98/26.49 tff(19262,plain,
% 39.98/26.49 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19263,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19264,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19263, 19262])).
% 39.98/26.49 tff(19265,plain,
% 39.98/26.49 (v118(constB147)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19264, 778, 19261])).
% 39.98/26.49 tff(19266,plain,
% 39.98/26.49 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19267,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19268,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19267, 19266])).
% 39.98/26.49 tff(19269,plain,
% 39.98/26.49 (v117(constB147)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19268, 250, 19265])).
% 39.98/26.49 tff(19270,plain,
% 39.98/26.49 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19271,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19272,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19271, 19270])).
% 39.98/26.49 tff(19273,plain,
% 39.98/26.49 (v116(constB147)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19272, 261, 19269])).
% 39.98/26.49 tff(19274,plain,
% 39.98/26.49 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19275,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19276,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19275, 19274])).
% 39.98/26.49 tff(19277,plain,
% 39.98/26.49 (v115(constB147)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19276, 272, 19273])).
% 39.98/26.49 tff(19278,plain,
% 39.98/26.49 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19279,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19280,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19279, 19278])).
% 39.98/26.49 tff(19281,plain,
% 39.98/26.49 (v114(constB147)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19280, 283, 19277])).
% 39.98/26.49 tff(19282,plain,
% 39.98/26.49 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19283,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19284,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19283, 19282])).
% 39.98/26.49 tff(19285,plain,
% 39.98/26.49 (v113(constB147)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19284, 294, 19281])).
% 39.98/26.49 tff(19286,assumption,(v26(constB147)), introduced(assumption)).
% 39.98/26.49 tff(19287,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19288,plain,
% 39.98/26.49 ($false),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19287, 86, 19286])).
% 39.98/26.49 tff(19289,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.49 tff(19290,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19291,plain,
% 39.98/26.49 ((v26(constB147) | (~v113(constB147)) | v112(constB147)) <=> (v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19292,plain,
% 39.98/26.49 (((~![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))))),
% 39.98/26.49 inference(monotonicity,[status(thm)],[19291])).
% 39.98/26.49 tff(19293,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(transitivity,[status(thm)],[19292, 19290])).
% 39.98/26.49 tff(19294,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19295,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19294, 19293])).
% 39.98/26.49 tff(19296,plain,
% 39.98/26.49 (v112(constB147) | (~v113(constB147))),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19295, 308, 19289])).
% 39.98/26.49 tff(19297,plain,
% 39.98/26.49 (v112(constB147)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19296, 19285])).
% 39.98/26.49 tff(19298,plain,
% 39.98/26.49 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19299,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19300,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19299, 19298])).
% 39.98/26.49 tff(19301,plain,
% 39.98/26.49 (v108(constB147)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19300, 320, 19297])).
% 39.98/26.49 tff(19302,plain,
% 39.98/26.49 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19303,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 39.98/26.49 tff(19304,plain,
% 39.98/26.49 (nextState(constB147, constB148)),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19303, 19302])).
% 39.98/26.49 tff(19305,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19306,plain,
% 39.98/26.49 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19307,plain,
% 39.98/26.49 (((~![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))))),
% 39.98/26.49 inference(monotonicity,[status(thm)],[19306])).
% 39.98/26.49 tff(19308,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(transitivity,[status(thm)],[19307, 19305])).
% 39.98/26.49 tff(19309,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19310,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19309, 19308])).
% 39.98/26.49 tff(19311,plain,
% 39.98/26.49 (v110(constB148) | (~v108(constB147))),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19310, 337, 19304])).
% 39.98/26.49 tff(19312,plain,
% 39.98/26.49 (v110(constB148)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19311, 19301])).
% 39.98/26.49 tff(19313,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19314,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19315,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19314, 19313])).
% 39.98/26.49 tff(19316,plain,
% 39.98/26.49 (~v104(constB148)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19315, 355, 19304, 19152])).
% 39.98/26.49 tff(19317,plain,
% 39.98/26.49 (((~![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))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19318,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19319,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19318, 19317])).
% 39.98/26.49 tff(19320,plain,
% 39.98/26.49 (v102(constB148) | v104(constB148)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19319, 369, 19304])).
% 39.98/26.49 tff(19321,plain,
% 39.98/26.49 (v102(constB148)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19320, 19316])).
% 39.98/26.49 tff(19322,plain,
% 39.98/26.49 (v1(constB148) <=> v1(constB148)),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19323,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 39.98/26.49 tff(19324,plain,
% 39.98/26.49 (v1(constB148)),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19323, 19322])).
% 39.98/26.49 tff(19325,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19326,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19327,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19326, 19325])).
% 39.98/26.49 tff(19328,plain,
% 39.98/26.49 (v101(constB148) | (~v102(constB148))),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19327, 387, 19304, 19324])).
% 39.98/26.49 tff(19329,plain,
% 39.98/26.49 (v101(constB148)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19328, 19321])).
% 39.98/26.49 tff(19330,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19331,plain,
% 39.98/26.49 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19332,plain,
% 39.98/26.49 (((~![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))))),
% 39.98/26.49 inference(monotonicity,[status(thm)],[19331])).
% 39.98/26.49 tff(19333,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(transitivity,[status(thm)],[19332, 19330])).
% 39.98/26.49 tff(19334,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19335,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19334, 19333])).
% 39.98/26.49 tff(19336,plain,
% 39.98/26.49 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19335, 402, 19304])).
% 39.98/26.49 tff(19337,plain,
% 39.98/26.49 (v100(constB148) | (~v110(constB148))),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19336, 19329])).
% 39.98/26.49 tff(19338,plain,
% 39.98/26.49 (v100(constB148)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19337, 19312])).
% 39.98/26.49 tff(19339,plain,
% 39.98/26.49 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19340,plain,
% 39.98/26.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19341,plain,
% 39.98/26.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19340, 19339])).
% 39.98/26.49 tff(19342,plain,
% 39.98/26.49 (~v130(constB147, bitIndex2)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19341, 685, 19261])).
% 39.98/26.49 tff(19343,plain,
% 39.98/26.49 (((~![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))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19344,plain,
% 39.98/26.49 ((v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2))) <=> ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19345,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(monotonicity,[status(thm)],[19344])).
% 39.98/26.49 tff(19346,plain,
% 39.98/26.49 (((~![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))),
% 39.98/26.49 inference(transitivity,[status(thm)],[19345, 19343])).
% 39.98/26.49 tff(19347,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19348,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19347, 19346])).
% 39.98/26.49 tff(19349,plain,
% 39.98/26.49 ((~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19348, 435, 19289])).
% 39.98/26.49 tff(19350,plain,
% 39.98/26.49 (~v127(constB147, bitIndex2)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19349, 19342])).
% 39.98/26.49 tff(19351,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19352,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19353,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19352, 19351])).
% 39.98/26.49 tff(19354,plain,
% 39.98/26.49 (v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19353, 453, 19304])).
% 39.98/26.49 tff(19355,plain,
% 39.98/26.49 (~v129(constB148, bitIndex2)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19354, 19350])).
% 39.98/26.49 tff(19356,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19357,plain,
% 39.98/26.49 (((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2)) <=> ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19358,plain,
% 39.98/26.49 (((~![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))))),
% 39.98/26.49 inference(monotonicity,[status(thm)],[19357])).
% 39.98/26.49 tff(19359,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(transitivity,[status(thm)],[19358, 19356])).
% 39.98/26.49 tff(19360,plain,
% 39.98/26.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19361,plain,
% 39.98/26.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19360, 19359])).
% 39.98/26.49 tff(19362,plain,
% 39.98/26.49 ((~v90(constB148, bitIndex2)) | (~v100(constB148))),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19361, 468, 19355])).
% 39.98/26.49 tff(19363,plain,
% 39.98/26.49 (~v90(constB148, bitIndex2)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19362, 19338])).
% 39.98/26.49 tff(19364,plain,
% 39.98/26.49 ((~v1(constB149)) <=> (~v1(constB149))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19365,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 39.98/26.49 tff(19366,plain,
% 39.98/26.49 (~v1(constB149)),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19365, 19364])).
% 39.98/26.49 tff(19367,plain,
% 39.98/26.49 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19368,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 39.98/26.49 tff(19369,plain,
% 39.98/26.49 (nextState(constB148, constB149)),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19368, 19367])).
% 39.98/26.49 tff(19370,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19371,plain,
% 39.98/26.49 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19372,plain,
% 39.98/26.49 (((~![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))))),
% 39.98/26.49 inference(monotonicity,[status(thm)],[19371])).
% 39.98/26.49 tff(19373,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(transitivity,[status(thm)],[19372, 19370])).
% 39.98/26.49 tff(19374,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19375,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19374, 19373])).
% 39.98/26.49 tff(19376,plain,
% 39.98/26.49 (~v101(constB149)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19375, 133, 19369, 19366])).
% 39.98/26.49 tff(19377,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19378,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19379,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19378, 19377])).
% 39.98/26.49 tff(19380,plain,
% 39.98/26.49 (v101(constB149) | (~v100(constB149))),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19379, 150, 19369])).
% 39.98/26.49 tff(19381,plain,
% 39.98/26.49 (~v100(constB149)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19380, 19376])).
% 39.98/26.49 tff(19382,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19383,plain,
% 39.98/26.49 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19384,plain,
% 39.98/26.49 (((~![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))))),
% 39.98/26.49 inference(monotonicity,[status(thm)],[19383])).
% 39.98/26.49 tff(19385,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(transitivity,[status(thm)],[19384, 19382])).
% 39.98/26.49 tff(19386,plain,
% 39.98/26.49 ((~![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)))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19387,plain,
% 39.98/26.49 ((~![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))),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19386, 19385])).
% 39.98/26.49 tff(19388,plain,
% 39.98/26.49 (v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19387, 165, 19369])).
% 39.98/26.49 tff(19389,plain,
% 39.98/26.49 (v90(constB148, bitIndex2) | (~v90(constB149, bitIndex2))),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19388, 19381])).
% 39.98/26.49 tff(19390,plain,
% 39.98/26.49 (~v90(constB149, bitIndex2)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19389, 19363])).
% 39.98/26.49 tff(19391,plain,
% 39.98/26.49 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19392,plain,
% 39.98/26.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19393,plain,
% 39.98/26.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1)),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19392, 19391])).
% 39.98/26.49 tff(19394,plain,
% 39.98/26.49 (v130(constB147, bitIndex1)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19393, 868, 19261])).
% 39.98/26.49 tff(19395,plain,
% 39.98/26.49 (((~![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))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19396,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19397,plain,
% 39.98/26.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19396, 19395])).
% 39.98/26.49 tff(19398,plain,
% 39.98/26.49 ((~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19397, 882, 19289])).
% 39.98/26.49 tff(19399,plain,
% 39.98/26.49 (v127(constB147, bitIndex1)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19398, 19394])).
% 39.98/26.49 tff(19400,plain,
% 39.98/26.49 (((~![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))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.49 tff(19401,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 39.98/26.49 inference(quant_inst,[status(thm)],[])).
% 39.98/26.49 tff(19402,plain,
% 39.98/26.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 39.98/26.49 inference(modus_ponens,[status(thm)],[19401, 19400])).
% 39.98/26.49 tff(19403,plain,
% 39.98/26.49 ((~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19402, 897, 19304])).
% 39.98/26.49 tff(19404,plain,
% 39.98/26.49 (v129(constB148, bitIndex1)),
% 39.98/26.49 inference(unit_resolution,[status(thm)],[19403, 19399])).
% 39.98/26.49 tff(19405,plain,
% 39.98/26.49 (((~![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)))),
% 39.98/26.49 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19406,plain,
% 39.98/26.50 ((v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19407,plain,
% 39.98/26.50 (((~![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))))),
% 39.98/26.50 inference(monotonicity,[status(thm)],[19406])).
% 39.98/26.50 tff(19408,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(transitivity,[status(thm)],[19407, 19405])).
% 39.98/26.50 tff(19409,plain,
% 39.98/26.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19410,plain,
% 39.98/26.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19409, 19408])).
% 39.98/26.50 tff(19411,plain,
% 39.98/26.50 (v90(constB148, bitIndex1) | (~v100(constB148))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19410, 912, 19404])).
% 39.98/26.50 tff(19412,plain,
% 39.98/26.50 (v90(constB148, bitIndex1)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19411, 19338])).
% 39.98/26.50 tff(19413,plain,
% 39.98/26.50 (((~![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))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19414,plain,
% 39.98/26.50 (((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19415,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(monotonicity,[status(thm)],[19414])).
% 39.98/26.50 tff(19416,plain,
% 39.98/26.50 (((~![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))),
% 39.98/26.50 inference(transitivity,[status(thm)],[19415, 19413])).
% 39.98/26.50 tff(19417,plain,
% 39.98/26.50 ((~![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))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19418,plain,
% 39.98/26.50 ((~![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)),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19417, 19416])).
% 39.98/26.50 tff(19419,plain,
% 39.98/26.50 ((~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19418, 1049, 19369])).
% 39.98/26.50 tff(19420,plain,
% 39.98/26.50 ((~v90(constB148, bitIndex1)) | v90(constB149, bitIndex1)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19419, 19381])).
% 39.98/26.50 tff(19421,plain,
% 39.98/26.50 (v90(constB149, bitIndex1)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19420, 19412])).
% 39.98/26.50 tff(19422,plain,
% 39.98/26.50 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19423,plain,
% 39.98/26.50 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19424,plain,
% 39.98/26.50 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19423, 19422])).
% 39.98/26.50 tff(19425,plain,
% 39.98/26.50 (~v130(constB147, bitIndex0)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19424, 930, 19261])).
% 39.98/26.50 tff(19426,plain,
% 39.98/26.50 (((~![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))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19427,plain,
% 39.98/26.50 ((v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0))) <=> ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19428,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(monotonicity,[status(thm)],[19427])).
% 39.98/26.50 tff(19429,plain,
% 39.98/26.50 (((~![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))),
% 39.98/26.50 inference(transitivity,[status(thm)],[19428, 19426])).
% 39.98/26.50 tff(19430,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19431,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19430, 19429])).
% 39.98/26.50 tff(19432,plain,
% 39.98/26.50 ((~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19431, 944, 19289])).
% 39.98/26.50 tff(19433,plain,
% 39.98/26.50 (~v127(constB147, bitIndex0)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19432, 19425])).
% 39.98/26.50 tff(19434,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19435,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19436,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19435, 19434])).
% 39.98/26.50 tff(19437,plain,
% 39.98/26.50 (v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19436, 962, 19304])).
% 39.98/26.50 tff(19438,plain,
% 39.98/26.50 (~v129(constB148, bitIndex0)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19437, 19433])).
% 39.98/26.50 tff(19439,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19440,plain,
% 39.98/26.50 (((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0)) <=> ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19441,plain,
% 39.98/26.50 (((~![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))))),
% 39.98/26.50 inference(monotonicity,[status(thm)],[19440])).
% 39.98/26.50 tff(19442,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(transitivity,[status(thm)],[19441, 19439])).
% 39.98/26.50 tff(19443,plain,
% 39.98/26.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19444,plain,
% 39.98/26.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19443, 19442])).
% 39.98/26.50 tff(19445,plain,
% 39.98/26.50 ((~v90(constB148, bitIndex0)) | (~v100(constB148))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19444, 977, 19438])).
% 39.98/26.50 tff(19446,plain,
% 39.98/26.50 (~v90(constB148, bitIndex0)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19445, 19338])).
% 39.98/26.50 tff(19447,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19448,plain,
% 39.98/26.50 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19449,plain,
% 39.98/26.50 (((~![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))))),
% 39.98/26.50 inference(monotonicity,[status(thm)],[19448])).
% 39.98/26.50 tff(19450,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(transitivity,[status(thm)],[19449, 19447])).
% 39.98/26.50 tff(19451,plain,
% 39.98/26.50 ((~![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)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19452,plain,
% 39.98/26.50 ((~![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))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19451, 19450])).
% 39.98/26.50 tff(19453,plain,
% 39.98/26.50 (v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19452, 207, 19369])).
% 39.98/26.50 tff(19454,plain,
% 39.98/26.50 (v90(constB148, bitIndex0) | (~v90(constB149, bitIndex0))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19453, 19381])).
% 39.98/26.50 tff(19455,plain,
% 39.98/26.50 (~v90(constB149, bitIndex0)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19454, 19446])).
% 39.98/26.50 tff(19456,assumption,(~v121(constB149)), introduced(assumption)).
% 39.98/26.50 tff(19457,plain,
% 39.98/26.50 (((~![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))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19458,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19459,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19458, 19457])).
% 39.98/26.50 tff(19460,plain,
% 39.98/26.50 (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19459, 996, 19456])).
% 39.98/26.50 tff(19461,plain,
% 39.98/26.50 ($false),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19460, 19455, 19421, 19390])).
% 39.98/26.50 tff(19462,plain,((~v120(constB147)) | v121(constB149)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.50 tff(19463,plain,
% 39.98/26.50 (v121(constB149)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19462, 19260])).
% 39.98/26.50 tff(19464,assumption,(v121(constB149)), introduced(assumption)).
% 39.98/26.50 tff(19465,plain,
% 39.98/26.50 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19466,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19467,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19466, 19465])).
% 39.98/26.50 tff(19468,plain,
% 39.98/26.50 (v117(constB149)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19467, 1130, 19464])).
% 39.98/26.50 tff(19469,plain,
% 39.98/26.50 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19470,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19471,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19470, 19469])).
% 39.98/26.50 tff(19472,plain,
% 39.98/26.50 (v116(constB149)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19471, 261, 19468])).
% 39.98/26.50 tff(19473,plain,
% 39.98/26.50 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19474,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19475,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19474, 19473])).
% 39.98/26.50 tff(19476,plain,
% 39.98/26.50 (v115(constB149)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19475, 272, 19472])).
% 39.98/26.50 tff(19477,plain,
% 39.98/26.50 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19478,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19479,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19478, 19477])).
% 39.98/26.50 tff(19480,plain,
% 39.98/26.50 (v114(constB149)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19479, 283, 19476])).
% 39.98/26.50 tff(19481,plain,
% 39.98/26.50 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19482,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19483,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19482, 19481])).
% 39.98/26.50 tff(19484,plain,
% 39.98/26.50 (v113(constB149)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19483, 294, 19480])).
% 39.98/26.50 tff(19485,assumption,(v26(constB149)), introduced(assumption)).
% 39.98/26.50 tff(19486,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19487,plain,
% 39.98/26.50 ($false),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19486, 86, 19485])).
% 39.98/26.50 tff(19488,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.50 tff(19489,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19490,plain,
% 39.98/26.50 ((v26(constB149) | (~v113(constB149)) | v112(constB149)) <=> (v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19491,plain,
% 39.98/26.50 (((~![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))))),
% 39.98/26.50 inference(monotonicity,[status(thm)],[19490])).
% 39.98/26.50 tff(19492,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(transitivity,[status(thm)],[19491, 19489])).
% 39.98/26.50 tff(19493,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19494,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19493, 19492])).
% 39.98/26.50 tff(19495,plain,
% 39.98/26.50 (v112(constB149) | (~v113(constB149))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19494, 308, 19488])).
% 39.98/26.50 tff(19496,plain,
% 39.98/26.50 (v112(constB149)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19495, 19484])).
% 39.98/26.50 tff(19497,plain,
% 39.98/26.50 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19498,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19499,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19498, 19497])).
% 39.98/26.50 tff(19500,plain,
% 39.98/26.50 (v108(constB149)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19499, 320, 19496])).
% 39.98/26.50 tff(19501,plain,
% 39.98/26.50 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19502,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 39.98/26.50 tff(19503,plain,
% 39.98/26.50 (nextState(constB149, constB150)),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19502, 19501])).
% 39.98/26.50 tff(19504,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19505,plain,
% 39.98/26.50 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19506,plain,
% 39.98/26.50 (((~![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))))),
% 39.98/26.50 inference(monotonicity,[status(thm)],[19505])).
% 39.98/26.50 tff(19507,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(transitivity,[status(thm)],[19506, 19504])).
% 39.98/26.50 tff(19508,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19509,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19508, 19507])).
% 39.98/26.50 tff(19510,plain,
% 39.98/26.50 (v110(constB150) | (~v108(constB149))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19509, 337, 19503])).
% 39.98/26.50 tff(19511,plain,
% 39.98/26.50 (v110(constB150)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19510, 19500])).
% 39.98/26.50 tff(19512,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19513,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19514,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19513, 19512])).
% 39.98/26.50 tff(19515,plain,
% 39.98/26.50 (~v104(constB150)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19514, 355, 19503, 19366])).
% 39.98/26.50 tff(19516,plain,
% 39.98/26.50 (((~![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))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19517,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19518,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19517, 19516])).
% 39.98/26.50 tff(19519,plain,
% 39.98/26.50 (v102(constB150) | v104(constB150)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19518, 369, 19503])).
% 39.98/26.50 tff(19520,plain,
% 39.98/26.50 (v102(constB150)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19519, 19515])).
% 39.98/26.50 tff(19521,plain,
% 39.98/26.50 (v1(constB150) <=> v1(constB150)),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19522,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 39.98/26.50 tff(19523,plain,
% 39.98/26.50 (v1(constB150)),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19522, 19521])).
% 39.98/26.50 tff(19524,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19525,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19526,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19525, 19524])).
% 39.98/26.50 tff(19527,plain,
% 39.98/26.50 (v101(constB150) | (~v102(constB150))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19526, 387, 19503, 19523])).
% 39.98/26.50 tff(19528,plain,
% 39.98/26.50 (v101(constB150)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19527, 19520])).
% 39.98/26.50 tff(19529,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19530,plain,
% 39.98/26.50 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19531,plain,
% 39.98/26.50 (((~![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))))),
% 39.98/26.50 inference(monotonicity,[status(thm)],[19530])).
% 39.98/26.50 tff(19532,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(transitivity,[status(thm)],[19531, 19529])).
% 39.98/26.50 tff(19533,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19534,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19533, 19532])).
% 39.98/26.50 tff(19535,plain,
% 39.98/26.50 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19534, 402, 19503])).
% 39.98/26.50 tff(19536,plain,
% 39.98/26.50 (v100(constB150) | (~v110(constB150))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19535, 19528])).
% 39.98/26.50 tff(19537,plain,
% 39.98/26.50 (v100(constB150)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19536, 19511])).
% 39.98/26.50 tff(19538,plain,
% 39.98/26.50 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19539,plain,
% 39.98/26.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19540,plain,
% 39.98/26.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19539, 19538])).
% 39.98/26.50 tff(19541,plain,
% 39.98/26.50 (~v130(constB149, bitIndex2)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19540, 1102, 19464])).
% 39.98/26.50 tff(19542,plain,
% 39.98/26.50 (((~![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))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19543,plain,
% 39.98/26.50 ((v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2))) <=> ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19544,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(monotonicity,[status(thm)],[19543])).
% 39.98/26.50 tff(19545,plain,
% 39.98/26.50 (((~![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))),
% 39.98/26.50 inference(transitivity,[status(thm)],[19544, 19542])).
% 39.98/26.50 tff(19546,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19547,plain,
% 39.98/26.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19546, 19545])).
% 39.98/26.50 tff(19548,plain,
% 39.98/26.50 ((~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19547, 435, 19488])).
% 39.98/26.50 tff(19549,plain,
% 39.98/26.50 (~v127(constB149, bitIndex2)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19548, 19541])).
% 39.98/26.50 tff(19550,plain,
% 39.98/26.50 (((~![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)))),
% 39.98/26.50 inference(rewrite,[status(thm)],[])).
% 39.98/26.50 tff(19551,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 39.98/26.50 inference(quant_inst,[status(thm)],[])).
% 39.98/26.50 tff(19552,plain,
% 39.98/26.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 39.98/26.50 inference(modus_ponens,[status(thm)],[19551, 19550])).
% 39.98/26.50 tff(19553,plain,
% 39.98/26.50 (v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19552, 453, 19503])).
% 39.98/26.50 tff(19554,plain,
% 39.98/26.50 (~v129(constB150, bitIndex2)),
% 39.98/26.50 inference(unit_resolution,[status(thm)],[19553, 19549])).
% 39.98/26.51 tff(19555,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19556,plain,
% 39.98/26.51 (((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2)) <=> ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19557,plain,
% 39.98/26.51 (((~![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))))),
% 39.98/26.51 inference(monotonicity,[status(thm)],[19556])).
% 39.98/26.51 tff(19558,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(transitivity,[status(thm)],[19557, 19555])).
% 39.98/26.51 tff(19559,plain,
% 39.98/26.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19560,plain,
% 39.98/26.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19559, 19558])).
% 39.98/26.51 tff(19561,plain,
% 39.98/26.51 ((~v90(constB150, bitIndex2)) | (~v100(constB150))),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19560, 468, 19554])).
% 39.98/26.51 tff(19562,plain,
% 39.98/26.51 (~v90(constB150, bitIndex2)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19561, 19537])).
% 39.98/26.51 tff(19563,plain,
% 39.98/26.51 ((~v1(constB151)) <=> (~v1(constB151))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19564,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 39.98/26.51 tff(19565,plain,
% 39.98/26.51 (~v1(constB151)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19564, 19563])).
% 39.98/26.51 tff(19566,plain,
% 39.98/26.51 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19567,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 39.98/26.51 tff(19568,plain,
% 39.98/26.51 (nextState(constB150, constB151)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19567, 19566])).
% 39.98/26.51 tff(19569,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19570,plain,
% 39.98/26.51 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19571,plain,
% 39.98/26.51 (((~![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))))),
% 39.98/26.51 inference(monotonicity,[status(thm)],[19570])).
% 39.98/26.51 tff(19572,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(transitivity,[status(thm)],[19571, 19569])).
% 39.98/26.51 tff(19573,plain,
% 39.98/26.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19574,plain,
% 39.98/26.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19573, 19572])).
% 39.98/26.51 tff(19575,plain,
% 39.98/26.51 (~v101(constB151)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19574, 133, 19568, 19565])).
% 39.98/26.51 tff(19576,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19577,plain,
% 39.98/26.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19578,plain,
% 39.98/26.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19577, 19576])).
% 39.98/26.51 tff(19579,plain,
% 39.98/26.51 (v101(constB151) | (~v100(constB151))),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19578, 150, 19568])).
% 39.98/26.51 tff(19580,plain,
% 39.98/26.51 (~v100(constB151)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19579, 19575])).
% 39.98/26.51 tff(19581,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19582,plain,
% 39.98/26.51 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))) <=> (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19583,plain,
% 39.98/26.51 (((~![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))))),
% 39.98/26.51 inference(monotonicity,[status(thm)],[19582])).
% 39.98/26.51 tff(19584,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(transitivity,[status(thm)],[19583, 19581])).
% 39.98/26.51 tff(19585,plain,
% 39.98/26.51 ((~![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)))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19586,plain,
% 39.98/26.51 ((~![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))),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19585, 19584])).
% 39.98/26.51 tff(19587,plain,
% 39.98/26.51 (v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19586, 165, 19568])).
% 39.98/26.51 tff(19588,plain,
% 39.98/26.51 (v90(constB150, bitIndex2) | (~v90(constB151, bitIndex2))),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19587, 19580])).
% 39.98/26.51 tff(19589,plain,
% 39.98/26.51 (~v90(constB151, bitIndex2)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19588, 19562])).
% 39.98/26.51 tff(19590,plain,
% 39.98/26.51 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19591,plain,
% 39.98/26.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19592,plain,
% 39.98/26.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19591, 19590])).
% 39.98/26.51 tff(19593,plain,
% 39.98/26.51 (v130(constB149, bitIndex0)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19592, 1758, 19464])).
% 39.98/26.51 tff(19594,plain,
% 39.98/26.51 (((~![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))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19595,plain,
% 39.98/26.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19596,plain,
% 39.98/26.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19595, 19594])).
% 39.98/26.51 tff(19597,plain,
% 39.98/26.51 ((~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19596, 601, 19488])).
% 39.98/26.51 tff(19598,plain,
% 39.98/26.51 (v127(constB149, bitIndex0)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19597, 19593])).
% 39.98/26.51 tff(19599,plain,
% 39.98/26.51 (((~![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))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19600,plain,
% 39.98/26.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19601,plain,
% 39.98/26.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19600, 19599])).
% 39.98/26.51 tff(19602,plain,
% 39.98/26.51 ((~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19601, 616, 19503])).
% 39.98/26.51 tff(19603,plain,
% 39.98/26.51 (v129(constB150, bitIndex0)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19602, 19598])).
% 39.98/26.51 tff(19604,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19605,plain,
% 39.98/26.51 ((v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19606,plain,
% 39.98/26.51 (((~![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))))),
% 39.98/26.51 inference(monotonicity,[status(thm)],[19605])).
% 39.98/26.51 tff(19607,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(transitivity,[status(thm)],[19606, 19604])).
% 39.98/26.51 tff(19608,plain,
% 39.98/26.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19609,plain,
% 39.98/26.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19608, 19607])).
% 39.98/26.51 tff(19610,plain,
% 39.98/26.51 (v90(constB150, bitIndex0) | (~v100(constB150))),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19609, 631, 19603])).
% 39.98/26.51 tff(19611,plain,
% 39.98/26.51 (v90(constB150, bitIndex0)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19610, 19537])).
% 39.98/26.51 tff(19612,plain,
% 39.98/26.51 (((~![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))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19613,plain,
% 39.98/26.51 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19614,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(monotonicity,[status(thm)],[19613])).
% 39.98/26.51 tff(19615,plain,
% 39.98/26.51 (((~![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))),
% 39.98/26.51 inference(transitivity,[status(thm)],[19614, 19612])).
% 39.98/26.51 tff(19616,plain,
% 39.98/26.51 ((~![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))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19617,plain,
% 39.98/26.51 ((~![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)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19616, 19615])).
% 39.98/26.51 tff(19618,plain,
% 39.98/26.51 ((~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19617, 649, 19568])).
% 39.98/26.51 tff(19619,plain,
% 39.98/26.51 ((~v90(constB150, bitIndex0)) | v90(constB151, bitIndex0)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19618, 19580])).
% 39.98/26.51 tff(19620,plain,
% 39.98/26.51 (v90(constB151, bitIndex0)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19619, 19611])).
% 39.98/26.51 tff(19621,plain,
% 39.98/26.51 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19622,plain,
% 39.98/26.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19623,plain,
% 39.98/26.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19622, 19621])).
% 39.98/26.51 tff(19624,plain,
% 39.98/26.51 (v130(constB149, bitIndex1)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19623, 1717, 19464])).
% 39.98/26.51 tff(19625,plain,
% 39.98/26.51 (((~![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))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19626,plain,
% 39.98/26.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19627,plain,
% 39.98/26.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19626, 19625])).
% 39.98/26.51 tff(19628,plain,
% 39.98/26.51 ((~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19627, 882, 19488])).
% 39.98/26.51 tff(19629,plain,
% 39.98/26.51 (v127(constB149, bitIndex1)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19628, 19624])).
% 39.98/26.51 tff(19630,plain,
% 39.98/26.51 (((~![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))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19631,plain,
% 39.98/26.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19632,plain,
% 39.98/26.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19631, 19630])).
% 39.98/26.51 tff(19633,plain,
% 39.98/26.51 ((~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19632, 897, 19503])).
% 39.98/26.51 tff(19634,plain,
% 39.98/26.51 (v129(constB150, bitIndex1)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19633, 19629])).
% 39.98/26.51 tff(19635,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19636,plain,
% 39.98/26.51 ((v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19637,plain,
% 39.98/26.51 (((~![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))))),
% 39.98/26.51 inference(monotonicity,[status(thm)],[19636])).
% 39.98/26.51 tff(19638,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(transitivity,[status(thm)],[19637, 19635])).
% 39.98/26.51 tff(19639,plain,
% 39.98/26.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19640,plain,
% 39.98/26.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19639, 19638])).
% 39.98/26.51 tff(19641,plain,
% 39.98/26.51 (v90(constB150, bitIndex1) | (~v100(constB150))),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19640, 912, 19634])).
% 39.98/26.51 tff(19642,plain,
% 39.98/26.51 (v90(constB150, bitIndex1)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19641, 19537])).
% 39.98/26.51 tff(19643,plain,
% 39.98/26.51 (((~![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))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19644,plain,
% 39.98/26.51 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19645,plain,
% 39.98/26.51 (((~![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)))),
% 39.98/26.51 inference(monotonicity,[status(thm)],[19644])).
% 39.98/26.51 tff(19646,plain,
% 39.98/26.51 (((~![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))),
% 39.98/26.51 inference(transitivity,[status(thm)],[19645, 19643])).
% 39.98/26.51 tff(19647,plain,
% 39.98/26.51 ((~![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))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19648,plain,
% 39.98/26.51 ((~![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)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19647, 19646])).
% 39.98/26.51 tff(19649,plain,
% 39.98/26.51 ((~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19648, 1049, 19568])).
% 39.98/26.51 tff(19650,plain,
% 39.98/26.51 ((~v90(constB150, bitIndex1)) | v90(constB151, bitIndex1)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19649, 19580])).
% 39.98/26.51 tff(19651,plain,
% 39.98/26.51 (v90(constB151, bitIndex1)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19650, 19642])).
% 39.98/26.51 tff(19652,assumption,(~v122(constB151)), introduced(assumption)).
% 39.98/26.51 tff(19653,plain,
% 39.98/26.51 (((~![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))),
% 39.98/26.51 inference(rewrite,[status(thm)],[])).
% 39.98/26.51 tff(19654,plain,
% 39.98/26.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 39.98/26.51 inference(quant_inst,[status(thm)],[])).
% 39.98/26.51 tff(19655,plain,
% 39.98/26.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 39.98/26.51 inference(modus_ponens,[status(thm)],[19654, 19653])).
% 39.98/26.51 tff(19656,plain,
% 39.98/26.51 ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2)),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19655, 1184, 19652])).
% 39.98/26.51 tff(19657,plain,
% 39.98/26.51 ($false),
% 39.98/26.51 inference(unit_resolution,[status(thm)],[19656, 19651, 19620, 19589])).
% 39.98/26.51 tff(19658,plain,((~v121(constB149)) | v122(constB151)), inference(lemma,lemma(discharge,[]))).
% 39.98/26.51 tff(19659,plain,
% 39.98/26.51 (v122(constB151)),
% 40.08/26.51 inference(unit_resolution,[status(thm)],[19658, 19463])).
% 40.08/26.51 tff(19660,assumption,(v122(constB151)), introduced(assumption)).
% 40.08/26.51 tff(19661,plain,
% 40.08/26.51 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151)))),
% 40.08/26.51 inference(rewrite,[status(thm)],[])).
% 40.08/26.51 tff(19662,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))),
% 40.08/26.51 inference(quant_inst,[status(thm)],[])).
% 40.08/26.51 tff(19663,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151))),
% 40.08/26.51 inference(modus_ponens,[status(thm)],[19662, 19661])).
% 40.08/26.51 tff(19664,plain,
% 40.08/26.51 (v116(constB151)),
% 40.08/26.51 inference(unit_resolution,[status(thm)],[19663, 1149, 19660])).
% 40.08/26.51 tff(19665,plain,
% 40.08/26.51 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151)))),
% 40.08/26.51 inference(rewrite,[status(thm)],[])).
% 40.08/26.51 tff(19666,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))),
% 40.08/26.51 inference(quant_inst,[status(thm)],[])).
% 40.08/26.51 tff(19667,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151))),
% 40.08/26.51 inference(modus_ponens,[status(thm)],[19666, 19665])).
% 40.08/26.51 tff(19668,plain,
% 40.08/26.51 (v115(constB151)),
% 40.08/26.51 inference(unit_resolution,[status(thm)],[19667, 272, 19664])).
% 40.08/26.51 tff(19669,plain,
% 40.08/26.51 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151)))),
% 40.08/26.51 inference(rewrite,[status(thm)],[])).
% 40.08/26.51 tff(19670,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))),
% 40.08/26.51 inference(quant_inst,[status(thm)],[])).
% 40.08/26.51 tff(19671,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151))),
% 40.08/26.51 inference(modus_ponens,[status(thm)],[19670, 19669])).
% 40.08/26.51 tff(19672,plain,
% 40.08/26.51 (v114(constB151)),
% 40.08/26.51 inference(unit_resolution,[status(thm)],[19671, 283, 19668])).
% 40.08/26.51 tff(19673,plain,
% 40.08/26.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151)))),
% 40.08/26.51 inference(rewrite,[status(thm)],[])).
% 40.08/26.51 tff(19674,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))),
% 40.08/26.51 inference(quant_inst,[status(thm)],[])).
% 40.08/26.51 tff(19675,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151))),
% 40.08/26.51 inference(modus_ponens,[status(thm)],[19674, 19673])).
% 40.08/26.51 tff(19676,plain,
% 40.08/26.51 (v113(constB151)),
% 40.08/26.51 inference(unit_resolution,[status(thm)],[19675, 294, 19672])).
% 40.08/26.51 tff(19677,assumption,(v26(constB151)), introduced(assumption)).
% 40.08/26.51 tff(19678,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 40.08/26.51 inference(quant_inst,[status(thm)],[])).
% 40.08/26.51 tff(19679,plain,
% 40.08/26.51 ($false),
% 40.08/26.51 inference(unit_resolution,[status(thm)],[19678, 86, 19677])).
% 40.08/26.51 tff(19680,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 40.08/26.51 tff(19681,plain,
% 40.08/26.51 (((~![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)))),
% 40.08/26.51 inference(rewrite,[status(thm)],[])).
% 40.08/26.51 tff(19682,plain,
% 40.08/26.51 ((v26(constB151) | (~v113(constB151)) | v112(constB151)) <=> (v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 40.08/26.51 inference(rewrite,[status(thm)],[])).
% 40.08/26.51 tff(19683,plain,
% 40.08/26.51 (((~![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))))),
% 40.08/26.51 inference(monotonicity,[status(thm)],[19682])).
% 40.08/26.51 tff(19684,plain,
% 40.08/26.51 (((~![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)))),
% 40.08/26.51 inference(transitivity,[status(thm)],[19683, 19681])).
% 40.08/26.51 tff(19685,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 40.08/26.51 inference(quant_inst,[status(thm)],[])).
% 40.08/26.51 tff(19686,plain,
% 40.08/26.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151))),
% 40.08/26.51 inference(modus_ponens,[status(thm)],[19685, 19684])).
% 40.08/26.51 tff(19687,plain,
% 40.08/26.51 (v112(constB151) | (~v113(constB151))),
% 40.08/26.51 inference(unit_resolution,[status(thm)],[19686, 308, 19680])).
% 40.08/26.51 tff(19688,plain,
% 40.08/26.51 (v112(constB151)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19687, 19676])).
% 40.08/26.52 tff(19689,plain,
% 40.08/26.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19690,plain,
% 40.08/26.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19691,plain,
% 40.08/26.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19690, 19689])).
% 40.08/26.52 tff(19692,plain,
% 40.08/26.52 (v108(constB151)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19691, 320, 19688])).
% 40.08/26.52 tff(19693,plain,
% 40.08/26.52 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19694,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 40.08/26.52 tff(19695,plain,
% 40.08/26.52 (nextState(constB151, constB152)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19694, 19693])).
% 40.08/26.52 tff(19696,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19697,plain,
% 40.08/26.52 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19698,plain,
% 40.08/26.52 (((~![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))))),
% 40.08/26.52 inference(monotonicity,[status(thm)],[19697])).
% 40.08/26.52 tff(19699,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(transitivity,[status(thm)],[19698, 19696])).
% 40.08/26.52 tff(19700,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19701,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19700, 19699])).
% 40.08/26.52 tff(19702,plain,
% 40.08/26.52 (v110(constB152) | (~v108(constB151))),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19701, 337, 19695])).
% 40.08/26.52 tff(19703,plain,
% 40.08/26.52 (v110(constB152)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19702, 19692])).
% 40.08/26.52 tff(19704,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19705,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19706,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19705, 19704])).
% 40.08/26.52 tff(19707,plain,
% 40.08/26.52 (~v104(constB152)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19706, 355, 19695, 19565])).
% 40.08/26.52 tff(19708,plain,
% 40.08/26.52 (((~![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))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19709,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19710,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19709, 19708])).
% 40.08/26.52 tff(19711,plain,
% 40.08/26.52 (v102(constB152) | v104(constB152)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19710, 369, 19695])).
% 40.08/26.52 tff(19712,plain,
% 40.08/26.52 (v102(constB152)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19711, 19707])).
% 40.08/26.52 tff(19713,plain,
% 40.08/26.52 (v1(constB152) <=> v1(constB152)),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19714,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 40.08/26.52 tff(19715,plain,
% 40.08/26.52 (v1(constB152)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19714, 19713])).
% 40.08/26.52 tff(19716,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19717,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19718,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19717, 19716])).
% 40.08/26.52 tff(19719,plain,
% 40.08/26.52 (v101(constB152) | (~v102(constB152))),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19718, 387, 19695, 19715])).
% 40.08/26.52 tff(19720,plain,
% 40.08/26.52 (v101(constB152)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19719, 19712])).
% 40.08/26.52 tff(19721,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19722,plain,
% 40.08/26.52 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19723,plain,
% 40.08/26.52 (((~![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))))),
% 40.08/26.52 inference(monotonicity,[status(thm)],[19722])).
% 40.08/26.52 tff(19724,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(transitivity,[status(thm)],[19723, 19721])).
% 40.08/26.52 tff(19725,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19726,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19725, 19724])).
% 40.08/26.52 tff(19727,plain,
% 40.08/26.52 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19726, 402, 19695])).
% 40.08/26.52 tff(19728,plain,
% 40.08/26.52 (v100(constB152) | (~v110(constB152))),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19727, 19720])).
% 40.08/26.52 tff(19729,plain,
% 40.08/26.52 (v100(constB152)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19728, 19703])).
% 40.08/26.52 tff(19730,plain,
% 40.08/26.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19731,plain,
% 40.08/26.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19732,plain,
% 40.08/26.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19731, 19730])).
% 40.08/26.52 tff(19733,plain,
% 40.08/26.52 (v130(constB151, bitIndex2)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19732, 1803, 19660])).
% 40.08/26.52 tff(19734,plain,
% 40.08/26.52 (((~![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))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19735,plain,
% 40.08/26.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19736,plain,
% 40.08/26.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19735, 19734])).
% 40.08/26.52 tff(19737,plain,
% 40.08/26.52 ((~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19736, 1821, 19680])).
% 40.08/26.52 tff(19738,plain,
% 40.08/26.52 (v127(constB151, bitIndex2)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19737, 19733])).
% 40.08/26.52 tff(19739,plain,
% 40.08/26.52 (((~![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))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19740,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19741,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19740, 19739])).
% 40.08/26.52 tff(19742,plain,
% 40.08/26.52 ((~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19741, 1836, 19695])).
% 40.08/26.52 tff(19743,plain,
% 40.08/26.52 (v129(constB152, bitIndex2)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19742, 19738])).
% 40.08/26.52 tff(19744,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19745,plain,
% 40.08/26.52 ((v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19746,plain,
% 40.08/26.52 (((~![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))))),
% 40.08/26.52 inference(monotonicity,[status(thm)],[19745])).
% 40.08/26.52 tff(19747,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(transitivity,[status(thm)],[19746, 19744])).
% 40.08/26.52 tff(19748,plain,
% 40.08/26.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19749,plain,
% 40.08/26.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19748, 19747])).
% 40.08/26.52 tff(19750,plain,
% 40.08/26.52 (v90(constB152, bitIndex2) | (~v100(constB152))),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19749, 2100, 19743])).
% 40.08/26.52 tff(19751,plain,
% 40.08/26.52 (v90(constB152, bitIndex2)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19750, 19729])).
% 40.08/26.52 tff(19752,plain,
% 40.08/26.52 ((~v1(constB153)) <=> (~v1(constB153))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19753,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 40.08/26.52 tff(19754,plain,
% 40.08/26.52 (~v1(constB153)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19753, 19752])).
% 40.08/26.52 tff(19755,plain,
% 40.08/26.52 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19756,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 40.08/26.52 tff(19757,plain,
% 40.08/26.52 (nextState(constB152, constB153)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19756, 19755])).
% 40.08/26.52 tff(19758,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19759,plain,
% 40.08/26.52 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19760,plain,
% 40.08/26.52 (((~![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))))),
% 40.08/26.52 inference(monotonicity,[status(thm)],[19759])).
% 40.08/26.52 tff(19761,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(transitivity,[status(thm)],[19760, 19758])).
% 40.08/26.52 tff(19762,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19763,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19762, 19761])).
% 40.08/26.52 tff(19764,plain,
% 40.08/26.52 (~v101(constB153)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19763, 133, 19757, 19754])).
% 40.08/26.52 tff(19765,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19766,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19767,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19766, 19765])).
% 40.08/26.52 tff(19768,plain,
% 40.08/26.52 (v101(constB153) | (~v100(constB153))),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19767, 150, 19757])).
% 40.08/26.52 tff(19769,plain,
% 40.08/26.52 (~v100(constB153)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19768, 19764])).
% 40.08/26.52 tff(19770,plain,
% 40.08/26.52 (((~![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))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19771,plain,
% 40.08/26.52 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)) <=> ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19772,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(monotonicity,[status(thm)],[19771])).
% 40.08/26.52 tff(19773,plain,
% 40.08/26.52 (((~![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))),
% 40.08/26.52 inference(transitivity,[status(thm)],[19772, 19770])).
% 40.08/26.52 tff(19774,plain,
% 40.08/26.52 ((~![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))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19775,plain,
% 40.08/26.52 ((~![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)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19774, 19773])).
% 40.08/26.52 tff(19776,plain,
% 40.08/26.52 ((~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19775, 2118, 19757])).
% 40.08/26.52 tff(19777,plain,
% 40.08/26.52 ((~v90(constB152, bitIndex2)) | v90(constB153, bitIndex2)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19776, 19769])).
% 40.08/26.52 tff(19778,plain,
% 40.08/26.52 (v90(constB153, bitIndex2)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19777, 19751])).
% 40.08/26.52 tff(19779,plain,
% 40.08/26.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19780,plain,
% 40.08/26.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19781,plain,
% 40.08/26.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19780, 19779])).
% 40.08/26.52 tff(19782,plain,
% 40.08/26.52 (~v130(constB151, bitIndex0)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19781, 1486, 19660])).
% 40.08/26.52 tff(19783,plain,
% 40.08/26.52 (((~![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))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19784,plain,
% 40.08/26.52 ((v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0))) <=> ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19785,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(monotonicity,[status(thm)],[19784])).
% 40.08/26.52 tff(19786,plain,
% 40.08/26.52 (((~![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))),
% 40.08/26.52 inference(transitivity,[status(thm)],[19785, 19783])).
% 40.08/26.52 tff(19787,plain,
% 40.08/26.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19788,plain,
% 40.08/26.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19787, 19786])).
% 40.08/26.52 tff(19789,plain,
% 40.08/26.52 ((~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19788, 944, 19680])).
% 40.08/26.52 tff(19790,plain,
% 40.08/26.52 (~v127(constB151, bitIndex0)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19789, 19782])).
% 40.08/26.52 tff(19791,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19792,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19793,plain,
% 40.08/26.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19792, 19791])).
% 40.08/26.52 tff(19794,plain,
% 40.08/26.52 (v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19793, 962, 19695])).
% 40.08/26.52 tff(19795,plain,
% 40.08/26.52 (~v129(constB152, bitIndex0)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19794, 19790])).
% 40.08/26.52 tff(19796,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19797,plain,
% 40.08/26.52 (((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0)) <=> ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19798,plain,
% 40.08/26.52 (((~![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))))),
% 40.08/26.52 inference(monotonicity,[status(thm)],[19797])).
% 40.08/26.52 tff(19799,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(transitivity,[status(thm)],[19798, 19796])).
% 40.08/26.52 tff(19800,plain,
% 40.08/26.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19801,plain,
% 40.08/26.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19800, 19799])).
% 40.08/26.52 tff(19802,plain,
% 40.08/26.52 ((~v90(constB152, bitIndex0)) | (~v100(constB152))),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19801, 977, 19795])).
% 40.08/26.52 tff(19803,plain,
% 40.08/26.52 (~v90(constB152, bitIndex0)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19802, 19729])).
% 40.08/26.52 tff(19804,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19805,plain,
% 40.08/26.52 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))) <=> (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19806,plain,
% 40.08/26.52 (((~![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))))),
% 40.08/26.52 inference(monotonicity,[status(thm)],[19805])).
% 40.08/26.52 tff(19807,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(transitivity,[status(thm)],[19806, 19804])).
% 40.08/26.52 tff(19808,plain,
% 40.08/26.52 ((~![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)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19809,plain,
% 40.08/26.52 ((~![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))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19808, 19807])).
% 40.08/26.52 tff(19810,plain,
% 40.08/26.52 (v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19809, 207, 19757])).
% 40.08/26.52 tff(19811,plain,
% 40.08/26.52 (v90(constB152, bitIndex0) | (~v90(constB153, bitIndex0))),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19810, 19769])).
% 40.08/26.52 tff(19812,plain,
% 40.08/26.52 (~v90(constB153, bitIndex0)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19811, 19803])).
% 40.08/26.52 tff(19813,plain,
% 40.08/26.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19814,plain,
% 40.08/26.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19815,plain,
% 40.08/26.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1))),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19814, 19813])).
% 40.08/26.52 tff(19816,plain,
% 40.08/26.52 (~v130(constB151, bitIndex1)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19815, 2137, 19660])).
% 40.08/26.52 tff(19817,plain,
% 40.08/26.52 (((~![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))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19818,plain,
% 40.08/26.52 ((v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1))) <=> ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 40.08/26.52 inference(rewrite,[status(thm)],[])).
% 40.08/26.52 tff(19819,plain,
% 40.08/26.52 (((~![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)))),
% 40.08/26.52 inference(monotonicity,[status(thm)],[19818])).
% 40.08/26.52 tff(19820,plain,
% 40.08/26.52 (((~![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))),
% 40.08/26.52 inference(transitivity,[status(thm)],[19819, 19817])).
% 40.08/26.52 tff(19821,plain,
% 40.08/26.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))),
% 40.08/26.52 inference(quant_inst,[status(thm)],[])).
% 40.08/26.52 tff(19822,plain,
% 40.08/26.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)),
% 40.08/26.52 inference(modus_ponens,[status(thm)],[19821, 19820])).
% 40.08/26.52 tff(19823,plain,
% 40.08/26.52 ((~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19822, 527, 19680])).
% 40.08/26.52 tff(19824,plain,
% 40.08/26.52 (~v127(constB151, bitIndex1)),
% 40.08/26.52 inference(unit_resolution,[status(thm)],[19823, 19816])).
% 40.08/26.53 tff(19825,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19826,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19827,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19826, 19825])).
% 40.08/26.53 tff(19828,plain,
% 40.08/26.53 (v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19827, 545, 19695])).
% 40.08/26.53 tff(19829,plain,
% 40.08/26.53 (~v129(constB152, bitIndex1)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19828, 19824])).
% 40.08/26.53 tff(19830,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19831,plain,
% 40.08/26.53 (((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1)) <=> ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19832,plain,
% 40.08/26.53 (((~![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))))),
% 40.08/26.53 inference(monotonicity,[status(thm)],[19831])).
% 40.08/26.53 tff(19833,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(transitivity,[status(thm)],[19832, 19830])).
% 40.08/26.53 tff(19834,plain,
% 40.08/26.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19835,plain,
% 40.08/26.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19834, 19833])).
% 40.08/26.53 tff(19836,plain,
% 40.08/26.53 ((~v90(constB152, bitIndex1)) | (~v100(constB152))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19835, 560, 19829])).
% 40.08/26.53 tff(19837,plain,
% 40.08/26.53 (~v90(constB152, bitIndex1)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19836, 19729])).
% 40.08/26.53 tff(19838,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19839,plain,
% 40.08/26.53 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))) <=> (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19840,plain,
% 40.08/26.53 (((~![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))))),
% 40.08/26.53 inference(monotonicity,[status(thm)],[19839])).
% 40.08/26.53 tff(19841,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(transitivity,[status(thm)],[19840, 19838])).
% 40.08/26.53 tff(19842,plain,
% 40.08/26.53 ((~![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)))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19843,plain,
% 40.08/26.53 ((~![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))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19842, 19841])).
% 40.08/26.53 tff(19844,plain,
% 40.08/26.53 (v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19843, 186, 19757])).
% 40.08/26.53 tff(19845,plain,
% 40.08/26.53 (v90(constB152, bitIndex1) | (~v90(constB153, bitIndex1))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19844, 19769])).
% 40.08/26.53 tff(19846,plain,
% 40.08/26.53 (~v90(constB153, bitIndex1)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19845, 19837])).
% 40.08/26.53 tff(19847,assumption,(~v123(constB153)), introduced(assumption)).
% 40.08/26.53 tff(19848,plain,
% 40.08/26.53 (((~![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))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19849,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19850,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153)),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19849, 19848])).
% 40.08/26.53 tff(19851,plain,
% 40.08/26.53 (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19850, 1280, 19847])).
% 40.08/26.53 tff(19852,plain,
% 40.08/26.53 ($false),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19851, 19846, 19812, 19778])).
% 40.08/26.53 tff(19853,plain,((~v122(constB151)) | v123(constB153)), inference(lemma,lemma(discharge,[]))).
% 40.08/26.53 tff(19854,plain,
% 40.08/26.53 (v123(constB153)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19853, 19659])).
% 40.08/26.53 tff(19855,assumption,(v123(constB153)), introduced(assumption)).
% 40.08/26.53 tff(19856,plain,
% 40.08/26.53 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19857,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19858,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19857, 19856])).
% 40.08/26.53 tff(19859,plain,
% 40.08/26.53 (v115(constB153)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19858, 1247, 19855])).
% 40.08/26.53 tff(19860,plain,
% 40.08/26.53 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19861,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19862,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19861, 19860])).
% 40.08/26.53 tff(19863,plain,
% 40.08/26.53 (v114(constB153)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19862, 283, 19859])).
% 40.08/26.53 tff(19864,plain,
% 40.08/26.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19865,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19866,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19865, 19864])).
% 40.08/26.53 tff(19867,plain,
% 40.08/26.53 (v113(constB153)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19866, 294, 19863])).
% 40.08/26.53 tff(19868,assumption,(v26(constB153)), introduced(assumption)).
% 40.08/26.53 tff(19869,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19870,plain,
% 40.08/26.53 ($false),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19869, 86, 19868])).
% 40.08/26.53 tff(19871,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 40.08/26.53 tff(19872,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19873,plain,
% 40.08/26.53 ((v26(constB153) | (~v113(constB153)) | v112(constB153)) <=> (v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19874,plain,
% 40.08/26.53 (((~![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))))),
% 40.08/26.53 inference(monotonicity,[status(thm)],[19873])).
% 40.08/26.53 tff(19875,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(transitivity,[status(thm)],[19874, 19872])).
% 40.08/26.53 tff(19876,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19877,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19876, 19875])).
% 40.08/26.53 tff(19878,plain,
% 40.08/26.53 (v112(constB153) | (~v113(constB153))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19877, 308, 19871])).
% 40.08/26.53 tff(19879,plain,
% 40.08/26.53 (v112(constB153)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19878, 19867])).
% 40.08/26.53 tff(19880,plain,
% 40.08/26.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19881,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19882,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19881, 19880])).
% 40.08/26.53 tff(19883,plain,
% 40.08/26.53 (v108(constB153)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19882, 320, 19879])).
% 40.08/26.53 tff(19884,plain,
% 40.08/26.53 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19885,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 40.08/26.53 tff(19886,plain,
% 40.08/26.53 (nextState(constB153, constB154)),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19885, 19884])).
% 40.08/26.53 tff(19887,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19888,plain,
% 40.08/26.53 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19889,plain,
% 40.08/26.53 (((~![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))))),
% 40.08/26.53 inference(monotonicity,[status(thm)],[19888])).
% 40.08/26.53 tff(19890,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(transitivity,[status(thm)],[19889, 19887])).
% 40.08/26.53 tff(19891,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19892,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19891, 19890])).
% 40.08/26.53 tff(19893,plain,
% 40.08/26.53 (v110(constB154) | (~v108(constB153))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19892, 337, 19886])).
% 40.08/26.53 tff(19894,plain,
% 40.08/26.53 (v110(constB154)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19893, 19883])).
% 40.08/26.53 tff(19895,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19896,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19897,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19896, 19895])).
% 40.08/26.53 tff(19898,plain,
% 40.08/26.53 (~v104(constB154)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19897, 355, 19886, 19754])).
% 40.08/26.53 tff(19899,plain,
% 40.08/26.53 (((~![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))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19900,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19901,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19900, 19899])).
% 40.08/26.53 tff(19902,plain,
% 40.08/26.53 (v102(constB154) | v104(constB154)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19901, 369, 19886])).
% 40.08/26.53 tff(19903,plain,
% 40.08/26.53 (v102(constB154)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19902, 19898])).
% 40.08/26.53 tff(19904,plain,
% 40.08/26.53 (v1(constB154) <=> v1(constB154)),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19905,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 40.08/26.53 tff(19906,plain,
% 40.08/26.53 (v1(constB154)),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19905, 19904])).
% 40.08/26.53 tff(19907,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19908,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19909,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19908, 19907])).
% 40.08/26.53 tff(19910,plain,
% 40.08/26.53 (v101(constB154) | (~v102(constB154))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19909, 387, 19886, 19906])).
% 40.08/26.53 tff(19911,plain,
% 40.08/26.53 (v101(constB154)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19910, 19903])).
% 40.08/26.53 tff(19912,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19913,plain,
% 40.08/26.53 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19914,plain,
% 40.08/26.53 (((~![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))))),
% 40.08/26.53 inference(monotonicity,[status(thm)],[19913])).
% 40.08/26.53 tff(19915,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(transitivity,[status(thm)],[19914, 19912])).
% 40.08/26.53 tff(19916,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19917,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19916, 19915])).
% 40.08/26.53 tff(19918,plain,
% 40.08/26.53 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19917, 402, 19886])).
% 40.08/26.53 tff(19919,plain,
% 40.08/26.53 (v100(constB154) | (~v110(constB154))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19918, 19911])).
% 40.08/26.53 tff(19920,plain,
% 40.08/26.53 (v100(constB154)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19919, 19894])).
% 40.08/26.53 tff(19921,plain,
% 40.08/26.53 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19922,plain,
% 40.08/26.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19923,plain,
% 40.08/26.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2)),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19922, 19921])).
% 40.08/26.53 tff(19924,plain,
% 40.08/26.53 (v130(constB153, bitIndex2)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19923, 2165, 19855])).
% 40.08/26.53 tff(19925,plain,
% 40.08/26.53 (((~![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))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19926,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19927,plain,
% 40.08/26.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19926, 19925])).
% 40.08/26.53 tff(19928,plain,
% 40.08/26.53 ((~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19927, 1821, 19871])).
% 40.08/26.53 tff(19929,plain,
% 40.08/26.53 (v127(constB153, bitIndex2)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19928, 19924])).
% 40.08/26.53 tff(19930,plain,
% 40.08/26.53 (((~![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))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19931,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19932,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19931, 19930])).
% 40.08/26.53 tff(19933,plain,
% 40.08/26.53 ((~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19932, 1836, 19886])).
% 40.08/26.53 tff(19934,plain,
% 40.08/26.53 (v129(constB154, bitIndex2)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19933, 19929])).
% 40.08/26.53 tff(19935,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19936,plain,
% 40.08/26.53 ((v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2))) <=> (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19937,plain,
% 40.08/26.53 (((~![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))))),
% 40.08/26.53 inference(monotonicity,[status(thm)],[19936])).
% 40.08/26.53 tff(19938,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(transitivity,[status(thm)],[19937, 19935])).
% 40.08/26.53 tff(19939,plain,
% 40.08/26.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19940,plain,
% 40.08/26.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19939, 19938])).
% 40.08/26.53 tff(19941,plain,
% 40.08/26.53 (v90(constB154, bitIndex2) | (~v100(constB154))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19940, 2100, 19934])).
% 40.08/26.53 tff(19942,plain,
% 40.08/26.53 (v90(constB154, bitIndex2)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19941, 19920])).
% 40.08/26.53 tff(19943,plain,
% 40.08/26.53 ((~v1(constB155)) <=> (~v1(constB155))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19944,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 40.08/26.53 tff(19945,plain,
% 40.08/26.53 (~v1(constB155)),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19944, 19943])).
% 40.08/26.53 tff(19946,plain,
% 40.08/26.53 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19947,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 40.08/26.53 tff(19948,plain,
% 40.08/26.53 (nextState(constB154, constB155)),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19947, 19946])).
% 40.08/26.53 tff(19949,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19950,plain,
% 40.08/26.53 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19951,plain,
% 40.08/26.53 (((~![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))))),
% 40.08/26.53 inference(monotonicity,[status(thm)],[19950])).
% 40.08/26.53 tff(19952,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(transitivity,[status(thm)],[19951, 19949])).
% 40.08/26.53 tff(19953,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19954,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19953, 19952])).
% 40.08/26.53 tff(19955,plain,
% 40.08/26.53 (~v101(constB155)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19954, 133, 19948, 19945])).
% 40.08/26.53 tff(19956,plain,
% 40.08/26.53 (((~![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)))),
% 40.08/26.53 inference(rewrite,[status(thm)],[])).
% 40.08/26.53 tff(19957,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 40.08/26.53 inference(quant_inst,[status(thm)],[])).
% 40.08/26.53 tff(19958,plain,
% 40.08/26.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 40.08/26.53 inference(modus_ponens,[status(thm)],[19957, 19956])).
% 40.08/26.53 tff(19959,plain,
% 40.08/26.53 (v101(constB155) | (~v100(constB155))),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19958, 150, 19948])).
% 40.08/26.53 tff(19960,plain,
% 40.08/26.53 (~v100(constB155)),
% 40.08/26.53 inference(unit_resolution,[status(thm)],[19959, 19955])).
% 40.08/26.53 tff(19961,plain,
% 40.08/26.53 (((~![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))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(19962,plain,
% 40.08/26.54 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)) <=> ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(19963,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(monotonicity,[status(thm)],[19962])).
% 40.08/26.54 tff(19964,plain,
% 40.08/26.54 (((~![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))),
% 40.08/26.54 inference(transitivity,[status(thm)],[19963, 19961])).
% 40.08/26.54 tff(19965,plain,
% 40.08/26.54 ((~![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))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(19966,plain,
% 40.08/26.54 ((~![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)),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[19965, 19964])).
% 40.08/26.54 tff(19967,plain,
% 40.08/26.54 ((~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19966, 2118, 19948])).
% 40.08/26.54 tff(19968,plain,
% 40.08/26.54 ((~v90(constB154, bitIndex2)) | v90(constB155, bitIndex2)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19967, 19960])).
% 40.08/26.54 tff(19969,plain,
% 40.08/26.54 (v90(constB155, bitIndex2)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19968, 19942])).
% 40.08/26.54 tff(19970,plain,
% 40.08/26.54 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB153)) | v130(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB153)) | v130(constB153, bitIndex0))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(19971,plain,
% 40.08/26.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB153)) | v130(constB153, bitIndex0))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(19972,plain,
% 40.08/26.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB153)) | v130(constB153, bitIndex0)),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[19971, 19970])).
% 40.08/26.54 tff(19973,plain,
% 40.08/26.54 (v130(constB153, bitIndex0)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19972, 2258, 19855])).
% 40.08/26.54 tff(19974,plain,
% 40.08/26.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(19975,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(19976,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[19975, 19974])).
% 40.08/26.54 tff(19977,plain,
% 40.08/26.54 ((~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19976, 601, 19871])).
% 40.08/26.54 tff(19978,plain,
% 40.08/26.54 (v127(constB153, bitIndex0)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19977, 19973])).
% 40.08/26.54 tff(19979,plain,
% 40.08/26.54 (((~![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))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(19980,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(19981,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[19980, 19979])).
% 40.08/26.54 tff(19982,plain,
% 40.08/26.54 ((~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19981, 616, 19886])).
% 40.08/26.54 tff(19983,plain,
% 40.08/26.54 (v129(constB154, bitIndex0)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19982, 19978])).
% 40.08/26.54 tff(19984,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(19985,plain,
% 40.08/26.54 ((v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(19986,plain,
% 40.08/26.54 (((~![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))))),
% 40.08/26.54 inference(monotonicity,[status(thm)],[19985])).
% 40.08/26.54 tff(19987,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(transitivity,[status(thm)],[19986, 19984])).
% 40.08/26.54 tff(19988,plain,
% 40.08/26.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(19989,plain,
% 40.08/26.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[19988, 19987])).
% 40.08/26.54 tff(19990,plain,
% 40.08/26.54 (v90(constB154, bitIndex0) | (~v100(constB154))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19989, 631, 19983])).
% 40.08/26.54 tff(19991,plain,
% 40.08/26.54 (v90(constB154, bitIndex0)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19990, 19920])).
% 40.08/26.54 tff(19992,plain,
% 40.08/26.54 (((~![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))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(19993,plain,
% 40.08/26.54 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)) <=> ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(19994,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(monotonicity,[status(thm)],[19993])).
% 40.08/26.54 tff(19995,plain,
% 40.08/26.54 (((~![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))),
% 40.08/26.54 inference(transitivity,[status(thm)],[19994, 19992])).
% 40.08/26.54 tff(19996,plain,
% 40.08/26.54 ((~![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))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(19997,plain,
% 40.08/26.54 ((~![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)),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[19996, 19995])).
% 40.08/26.54 tff(19998,plain,
% 40.08/26.54 ((~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19997, 649, 19948])).
% 40.08/26.54 tff(19999,plain,
% 40.08/26.54 ((~v90(constB154, bitIndex0)) | v90(constB155, bitIndex0)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19998, 19960])).
% 40.08/26.54 tff(20000,plain,
% 40.08/26.54 (v90(constB155, bitIndex0)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[19999, 19991])).
% 40.08/26.54 tff(20001,plain,
% 40.08/26.54 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v130(constB153, bitIndex1)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20002,plain,
% 40.08/26.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex1)))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20003,plain,
% 40.08/26.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v130(constB153, bitIndex1))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20002, 20001])).
% 40.08/26.54 tff(20004,plain,
% 40.08/26.54 (~v130(constB153, bitIndex1)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20003, 1579, 19855])).
% 40.08/26.54 tff(20005,plain,
% 40.08/26.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20006,plain,
% 40.08/26.54 ((v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1))) <=> ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20007,plain,
% 40.08/26.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)))),
% 40.08/26.54 inference(monotonicity,[status(thm)],[20006])).
% 40.08/26.54 tff(20008,plain,
% 40.08/26.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 40.08/26.54 inference(transitivity,[status(thm)],[20007, 20005])).
% 40.08/26.54 tff(20009,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20010,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20009, 20008])).
% 40.08/26.54 tff(20011,plain,
% 40.08/26.54 ((~v127(constB153, bitIndex1)) | v130(constB153, bitIndex1)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20010, 527, 19871])).
% 40.08/26.54 tff(20012,plain,
% 40.08/26.54 (~v127(constB153, bitIndex1)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20011, 20004])).
% 40.08/26.54 tff(20013,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20014,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20015,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20014, 20013])).
% 40.08/26.54 tff(20016,plain,
% 40.08/26.54 (v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20015, 545, 19886])).
% 40.08/26.54 tff(20017,plain,
% 40.08/26.54 (~v129(constB154, bitIndex1)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20016, 20012])).
% 40.08/26.54 tff(20018,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20019,plain,
% 40.08/26.54 (((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1)) <=> ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20020,plain,
% 40.08/26.54 (((~![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))))),
% 40.08/26.54 inference(monotonicity,[status(thm)],[20019])).
% 40.08/26.54 tff(20021,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(transitivity,[status(thm)],[20020, 20018])).
% 40.08/26.54 tff(20022,plain,
% 40.08/26.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20023,plain,
% 40.08/26.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20022, 20021])).
% 40.08/26.54 tff(20024,plain,
% 40.08/26.54 ((~v90(constB154, bitIndex1)) | (~v100(constB154))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20023, 560, 20017])).
% 40.08/26.54 tff(20025,plain,
% 40.08/26.54 (~v90(constB154, bitIndex1)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20024, 19920])).
% 40.08/26.54 tff(20026,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20027,plain,
% 40.08/26.54 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))) <=> (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20028,plain,
% 40.08/26.54 (((~![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))))),
% 40.08/26.54 inference(monotonicity,[status(thm)],[20027])).
% 40.08/26.54 tff(20029,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(transitivity,[status(thm)],[20028, 20026])).
% 40.08/26.54 tff(20030,plain,
% 40.08/26.54 ((~![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)))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20031,plain,
% 40.08/26.54 ((~![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))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20030, 20029])).
% 40.08/26.54 tff(20032,plain,
% 40.08/26.54 (v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20031, 186, 19948])).
% 40.08/26.54 tff(20033,plain,
% 40.08/26.54 (v90(constB154, bitIndex1) | (~v90(constB155, bitIndex1))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20032, 19960])).
% 40.08/26.54 tff(20034,plain,
% 40.08/26.54 (~v90(constB155, bitIndex1)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20033, 20025])).
% 40.08/26.54 tff(20035,assumption,(~v124(constB155)), introduced(assumption)).
% 40.08/26.54 tff(20036,plain,
% 40.08/26.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20037,plain,
% 40.08/26.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20038,plain,
% 40.08/26.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155)),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20037, 20036])).
% 40.08/26.54 tff(20039,plain,
% 40.08/26.54 ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20038, 1264, 20035])).
% 40.08/26.54 tff(20040,plain,
% 40.08/26.54 ($false),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20039, 20034, 20000, 19969])).
% 40.08/26.54 tff(20041,plain,((~v123(constB153)) | v124(constB155)), inference(lemma,lemma(discharge,[]))).
% 40.08/26.54 tff(20042,plain,
% 40.08/26.54 (v124(constB155)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20041, 19854])).
% 40.08/26.54 tff(20043,plain,
% 40.08/26.54 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB155) | (~v124(constB155)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB155) | (~v124(constB155)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20044,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB155) | (~v124(constB155)))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20045,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB155) | (~v124(constB155))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20044, 20043])).
% 40.08/26.54 tff(20046,plain,
% 40.08/26.54 (v114(constB155)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20045, 1236, 20042])).
% 40.08/26.54 tff(20047,plain,
% 40.08/26.54 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB155) | (~v114(constB155)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB155) | (~v114(constB155)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20048,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB155) | (~v114(constB155)))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20049,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB155) | (~v114(constB155))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20048, 20047])).
% 40.08/26.54 tff(20050,plain,
% 40.08/26.54 (v113(constB155)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20049, 294, 20046])).
% 40.08/26.54 tff(20051,assumption,(v26(constB155)), introduced(assumption)).
% 40.08/26.54 tff(20052,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20053,plain,
% 40.08/26.54 ($false),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20052, 86, 20051])).
% 40.08/26.54 tff(20054,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 40.08/26.54 tff(20055,plain,
% 40.08/26.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | v112(constB155) | (~v113(constB155)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | v112(constB155) | (~v113(constB155)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20056,plain,
% 40.08/26.54 ((v26(constB155) | (~v113(constB155)) | v112(constB155)) <=> (v26(constB155) | v112(constB155) | (~v113(constB155)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20057,plain,
% 40.08/26.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | v112(constB155) | (~v113(constB155))))),
% 40.08/26.54 inference(monotonicity,[status(thm)],[20056])).
% 40.08/26.54 tff(20058,plain,
% 40.08/26.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | v112(constB155) | (~v113(constB155)))),
% 40.08/26.54 inference(transitivity,[status(thm)],[20057, 20055])).
% 40.08/26.54 tff(20059,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20060,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | v112(constB155) | (~v113(constB155))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20059, 20058])).
% 40.08/26.54 tff(20061,plain,
% 40.08/26.54 (v112(constB155) | (~v113(constB155))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20060, 308, 20054])).
% 40.08/26.54 tff(20062,plain,
% 40.08/26.54 (v112(constB155)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20061, 20050])).
% 40.08/26.54 tff(20063,plain,
% 40.08/26.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20064,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20065,plain,
% 40.08/26.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20064, 20063])).
% 40.08/26.54 tff(20066,plain,
% 40.08/26.54 (v108(constB155)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20065, 320, 20062])).
% 40.08/26.54 tff(20067,plain,
% 40.08/26.54 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20068,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 40.08/26.54 tff(20069,plain,
% 40.08/26.54 (nextState(constB155, constB156)),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20068, 20067])).
% 40.08/26.54 tff(20070,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20071,plain,
% 40.08/26.54 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20072,plain,
% 40.08/26.54 (((~![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))))),
% 40.08/26.54 inference(monotonicity,[status(thm)],[20071])).
% 40.08/26.54 tff(20073,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(transitivity,[status(thm)],[20072, 20070])).
% 40.08/26.54 tff(20074,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20075,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20074, 20073])).
% 40.08/26.54 tff(20076,plain,
% 40.08/26.54 (v110(constB156) | (~v108(constB155))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20075, 337, 20069])).
% 40.08/26.54 tff(20077,plain,
% 40.08/26.54 (v110(constB156)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20076, 20066])).
% 40.08/26.54 tff(20078,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20079,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20080,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20079, 20078])).
% 40.08/26.54 tff(20081,plain,
% 40.08/26.54 (~v104(constB156)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20080, 355, 20069, 19945])).
% 40.08/26.54 tff(20082,plain,
% 40.08/26.54 (((~![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))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20083,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20084,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20083, 20082])).
% 40.08/26.54 tff(20085,plain,
% 40.08/26.54 (v102(constB156) | v104(constB156)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20084, 369, 20069])).
% 40.08/26.54 tff(20086,plain,
% 40.08/26.54 (v102(constB156)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20085, 20081])).
% 40.08/26.54 tff(20087,plain,
% 40.08/26.54 (v1(constB156) <=> v1(constB156)),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20088,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 40.08/26.54 tff(20089,plain,
% 40.08/26.54 (v1(constB156)),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20088, 20087])).
% 40.08/26.54 tff(20090,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20091,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20092,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20091, 20090])).
% 40.08/26.54 tff(20093,plain,
% 40.08/26.54 (v101(constB156) | (~v102(constB156))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20092, 387, 20069, 20089])).
% 40.08/26.54 tff(20094,plain,
% 40.08/26.54 (v101(constB156)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20093, 20086])).
% 40.08/26.54 tff(20095,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20096,plain,
% 40.08/26.54 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 40.08/26.54 inference(rewrite,[status(thm)],[])).
% 40.08/26.54 tff(20097,plain,
% 40.08/26.54 (((~![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))))),
% 40.08/26.54 inference(monotonicity,[status(thm)],[20096])).
% 40.08/26.54 tff(20098,plain,
% 40.08/26.54 (((~![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)))),
% 40.08/26.54 inference(transitivity,[status(thm)],[20097, 20095])).
% 40.08/26.54 tff(20099,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 40.08/26.54 inference(quant_inst,[status(thm)],[])).
% 40.08/26.54 tff(20100,plain,
% 40.08/26.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 40.08/26.54 inference(modus_ponens,[status(thm)],[20099, 20098])).
% 40.08/26.54 tff(20101,plain,
% 40.08/26.54 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20100, 402, 20069])).
% 40.08/26.54 tff(20102,plain,
% 40.08/26.54 (v100(constB156) | (~v110(constB156))),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20101, 20094])).
% 40.08/26.54 tff(20103,plain,
% 40.08/26.54 (v100(constB156)),
% 40.08/26.54 inference(unit_resolution,[status(thm)],[20102, 20077])).
% 40.08/26.55 tff(20104,plain,
% 40.08/26.55 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB155)) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB155)) | v130(constB155, bitIndex2))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20105,plain,
% 40.08/26.55 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB155)) | v130(constB155, bitIndex2))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20106,plain,
% 40.08/26.55 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB155)) | v130(constB155, bitIndex2)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20105, 20104])).
% 40.08/26.55 tff(20107,plain,
% 40.08/26.55 (v130(constB155, bitIndex2)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20106, 2303, 20042])).
% 40.08/26.55 tff(20108,plain,
% 40.08/26.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20109,plain,
% 40.08/26.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20110,plain,
% 40.08/26.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20109, 20108])).
% 40.08/26.55 tff(20111,plain,
% 40.08/26.55 ((~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20110, 1821, 20054])).
% 40.08/26.55 tff(20112,plain,
% 40.08/26.55 (v127(constB155, bitIndex2)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20111, 20107])).
% 40.08/26.55 tff(20113,plain,
% 40.08/26.55 (((~![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))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20114,plain,
% 40.08/26.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20115,plain,
% 40.08/26.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20114, 20113])).
% 40.08/26.55 tff(20116,plain,
% 40.08/26.55 ((~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20115, 1836, 20069])).
% 40.08/26.55 tff(20117,plain,
% 40.08/26.55 (v129(constB156, bitIndex2)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20116, 20112])).
% 40.08/26.55 tff(20118,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20119,plain,
% 40.08/26.55 ((v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20120,plain,
% 40.08/26.55 (((~![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))))),
% 40.08/26.55 inference(monotonicity,[status(thm)],[20119])).
% 40.08/26.55 tff(20121,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(transitivity,[status(thm)],[20120, 20118])).
% 40.08/26.55 tff(20122,plain,
% 40.08/26.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20123,plain,
% 40.08/26.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20122, 20121])).
% 40.08/26.55 tff(20124,plain,
% 40.08/26.55 (v90(constB156, bitIndex2) | (~v100(constB156))),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20123, 2100, 20117])).
% 40.08/26.55 tff(20125,plain,
% 40.08/26.55 (v90(constB156, bitIndex2)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20124, 20103])).
% 40.08/26.55 tff(20126,plain,
% 40.08/26.55 ((~v1(constB157)) <=> (~v1(constB157))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20127,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 40.08/26.55 tff(20128,plain,
% 40.08/26.55 (~v1(constB157)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20127, 20126])).
% 40.08/26.55 tff(20129,plain,
% 40.08/26.55 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20130,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 40.08/26.55 tff(20131,plain,
% 40.08/26.55 (nextState(constB156, constB157)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20130, 20129])).
% 40.08/26.55 tff(20132,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20133,plain,
% 40.08/26.55 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20134,plain,
% 40.08/26.55 (((~![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))))),
% 40.08/26.55 inference(monotonicity,[status(thm)],[20133])).
% 40.08/26.55 tff(20135,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(transitivity,[status(thm)],[20134, 20132])).
% 40.08/26.55 tff(20136,plain,
% 40.08/26.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20137,plain,
% 40.08/26.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20136, 20135])).
% 40.08/26.55 tff(20138,plain,
% 40.08/26.55 (~v101(constB157)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20137, 133, 20131, 20128])).
% 40.08/26.55 tff(20139,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20140,plain,
% 40.08/26.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20141,plain,
% 40.08/26.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20140, 20139])).
% 40.08/26.55 tff(20142,plain,
% 40.08/26.55 (v101(constB157) | (~v100(constB157))),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20141, 150, 20131])).
% 40.08/26.55 tff(20143,plain,
% 40.08/26.55 (~v100(constB157)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20142, 20138])).
% 40.08/26.55 tff(20144,plain,
% 40.08/26.55 (((~![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))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20145,plain,
% 40.08/26.55 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)) <=> ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20146,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(monotonicity,[status(thm)],[20145])).
% 40.08/26.55 tff(20147,plain,
% 40.08/26.55 (((~![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))),
% 40.08/26.55 inference(transitivity,[status(thm)],[20146, 20144])).
% 40.08/26.55 tff(20148,plain,
% 40.08/26.55 ((~![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))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20149,plain,
% 40.08/26.55 ((~![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)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20148, 20147])).
% 40.08/26.55 tff(20150,plain,
% 40.08/26.55 ((~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20149, 2118, 20131])).
% 40.08/26.55 tff(20151,plain,
% 40.08/26.55 ((~v90(constB156, bitIndex2)) | v90(constB157, bitIndex2)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20150, 20143])).
% 40.08/26.55 tff(20152,plain,
% 40.08/26.55 (v90(constB157, bitIndex2)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20151, 20125])).
% 40.08/26.55 tff(20153,plain,
% 40.08/26.55 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB155)) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB155)) | v130(constB155, bitIndex1))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20154,plain,
% 40.08/26.55 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB155)) | v130(constB155, bitIndex1))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20155,plain,
% 40.08/26.55 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB155)) | v130(constB155, bitIndex1)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20154, 20153])).
% 40.08/26.55 tff(20156,plain,
% 40.08/26.55 (v130(constB155, bitIndex1)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20155, 2347, 20042])).
% 40.08/26.55 tff(20157,plain,
% 40.08/26.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20158,plain,
% 40.08/26.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20159,plain,
% 40.08/26.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20158, 20157])).
% 40.08/26.55 tff(20160,plain,
% 40.08/26.55 ((~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20159, 882, 20054])).
% 40.08/26.55 tff(20161,plain,
% 40.08/26.55 (v127(constB155, bitIndex1)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20160, 20156])).
% 40.08/26.55 tff(20162,plain,
% 40.08/26.55 (((~![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))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20163,plain,
% 40.08/26.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20164,plain,
% 40.08/26.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20163, 20162])).
% 40.08/26.55 tff(20165,plain,
% 40.08/26.55 ((~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20164, 897, 20069])).
% 40.08/26.55 tff(20166,plain,
% 40.08/26.55 (v129(constB156, bitIndex1)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20165, 20161])).
% 40.08/26.55 tff(20167,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20168,plain,
% 40.08/26.55 ((v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20169,plain,
% 40.08/26.55 (((~![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))))),
% 40.08/26.55 inference(monotonicity,[status(thm)],[20168])).
% 40.08/26.55 tff(20170,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(transitivity,[status(thm)],[20169, 20167])).
% 40.08/26.55 tff(20171,plain,
% 40.08/26.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20172,plain,
% 40.08/26.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20171, 20170])).
% 40.08/26.55 tff(20173,plain,
% 40.08/26.55 (v90(constB156, bitIndex1) | (~v100(constB156))),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20172, 912, 20166])).
% 40.08/26.55 tff(20174,plain,
% 40.08/26.55 (v90(constB156, bitIndex1)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20173, 20103])).
% 40.08/26.55 tff(20175,plain,
% 40.08/26.55 (((~![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))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20176,plain,
% 40.08/26.55 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20177,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(monotonicity,[status(thm)],[20176])).
% 40.08/26.55 tff(20178,plain,
% 40.08/26.55 (((~![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))),
% 40.08/26.55 inference(transitivity,[status(thm)],[20177, 20175])).
% 40.08/26.55 tff(20179,plain,
% 40.08/26.55 ((~![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))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20180,plain,
% 40.08/26.55 ((~![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)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20179, 20178])).
% 40.08/26.55 tff(20181,plain,
% 40.08/26.55 ((~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20180, 1049, 20131])).
% 40.08/26.55 tff(20182,plain,
% 40.08/26.55 ((~v90(constB156, bitIndex1)) | v90(constB157, bitIndex1)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20181, 20143])).
% 40.08/26.55 tff(20183,plain,
% 40.08/26.55 (v90(constB157, bitIndex1)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20182, 20174])).
% 40.08/26.55 tff(20184,plain,
% 40.08/26.55 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB155)) | (~v130(constB155, bitIndex0)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20185,plain,
% 40.08/26.55 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex0)))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20186,plain,
% 40.08/26.55 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB155)) | (~v130(constB155, bitIndex0))),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20185, 20184])).
% 40.08/26.55 tff(20187,plain,
% 40.08/26.55 (~v130(constB155, bitIndex0)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20186, 1519, 20042])).
% 40.08/26.55 tff(20188,plain,
% 40.08/26.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20189,plain,
% 40.08/26.55 ((v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0))) <=> ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20190,plain,
% 40.08/26.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)))),
% 40.08/26.55 inference(monotonicity,[status(thm)],[20189])).
% 40.08/26.55 tff(20191,plain,
% 40.08/26.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 40.08/26.55 inference(transitivity,[status(thm)],[20190, 20188])).
% 40.08/26.55 tff(20192,plain,
% 40.08/26.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20193,plain,
% 40.08/26.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20192, 20191])).
% 40.08/26.55 tff(20194,plain,
% 40.08/26.55 ((~v127(constB155, bitIndex0)) | v130(constB155, bitIndex0)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20193, 944, 20054])).
% 40.08/26.55 tff(20195,plain,
% 40.08/26.55 (~v127(constB155, bitIndex0)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20194, 20187])).
% 40.08/26.55 tff(20196,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20197,plain,
% 40.08/26.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20198,plain,
% 40.08/26.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20197, 20196])).
% 40.08/26.55 tff(20199,plain,
% 40.08/26.55 (v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20198, 962, 20069])).
% 40.08/26.55 tff(20200,plain,
% 40.08/26.55 (~v129(constB156, bitIndex0)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20199, 20195])).
% 40.08/26.55 tff(20201,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20202,plain,
% 40.08/26.55 (((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0)) <=> ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20203,plain,
% 40.08/26.55 (((~![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))))),
% 40.08/26.55 inference(monotonicity,[status(thm)],[20202])).
% 40.08/26.55 tff(20204,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(transitivity,[status(thm)],[20203, 20201])).
% 40.08/26.55 tff(20205,plain,
% 40.08/26.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20206,plain,
% 40.08/26.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20205, 20204])).
% 40.08/26.55 tff(20207,plain,
% 40.08/26.55 ((~v90(constB156, bitIndex0)) | (~v100(constB156))),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20206, 977, 20200])).
% 40.08/26.55 tff(20208,plain,
% 40.08/26.55 (~v90(constB156, bitIndex0)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20207, 20103])).
% 40.08/26.55 tff(20209,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20210,plain,
% 40.08/26.55 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))) <=> (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 40.08/26.55 inference(rewrite,[status(thm)],[])).
% 40.08/26.55 tff(20211,plain,
% 40.08/26.55 (((~![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))))),
% 40.08/26.55 inference(monotonicity,[status(thm)],[20210])).
% 40.08/26.55 tff(20212,plain,
% 40.08/26.55 (((~![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)))),
% 40.08/26.55 inference(transitivity,[status(thm)],[20211, 20209])).
% 40.08/26.55 tff(20213,plain,
% 40.08/26.55 ((~![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)))),
% 40.08/26.55 inference(quant_inst,[status(thm)],[])).
% 40.08/26.55 tff(20214,plain,
% 40.08/26.55 ((~![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))),
% 40.08/26.55 inference(modus_ponens,[status(thm)],[20213, 20212])).
% 40.08/26.55 tff(20215,plain,
% 40.08/26.55 (v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20214, 207, 20131])).
% 40.08/26.55 tff(20216,plain,
% 40.08/26.55 (v90(constB156, bitIndex0) | (~v90(constB157, bitIndex0))),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20215, 20143])).
% 40.08/26.55 tff(20217,plain,
% 40.08/26.55 (~v90(constB157, bitIndex0)),
% 40.08/26.55 inference(unit_resolution,[status(thm)],[20216, 20208])).
% 40.08/26.55 tff(20218,plain,
% 40.08/26.55 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20219,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20220,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157)),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20219, 20218])).
% 40.08/26.56 tff(20221,plain,
% 40.08/26.56 (v125(constB157)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20220, 1308, 20217, 20183, 20152])).
% 40.08/26.56 tff(20222,plain,
% 40.08/26.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB157) | (~v125(constB157)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB157) | (~v125(constB157)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20223,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB157) | (~v125(constB157)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20224,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB157) | (~v125(constB157))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20223, 20222])).
% 40.08/26.56 tff(20225,plain,
% 40.08/26.56 (v113(constB157)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20224, 1294, 20221])).
% 40.08/26.56 tff(20226,assumption,(v26(constB157)), introduced(assumption)).
% 40.08/26.56 tff(20227,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20228,plain,
% 40.08/26.56 ($false),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20227, 86, 20226])).
% 40.08/26.56 tff(20229,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 40.08/26.56 tff(20230,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20231,plain,
% 40.08/26.56 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20232,plain,
% 40.08/26.56 (((~![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))))),
% 40.08/26.56 inference(monotonicity,[status(thm)],[20231])).
% 40.08/26.56 tff(20233,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(transitivity,[status(thm)],[20232, 20230])).
% 40.08/26.56 tff(20234,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20235,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20234, 20233])).
% 40.08/26.56 tff(20236,plain,
% 40.08/26.56 (v112(constB157) | (~v113(constB157))),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20235, 308, 20229])).
% 40.08/26.56 tff(20237,plain,
% 40.08/26.56 (v112(constB157)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20236, 20225])).
% 40.08/26.56 tff(20238,plain,
% 40.08/26.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20239,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20240,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20239, 20238])).
% 40.08/26.56 tff(20241,plain,
% 40.08/26.56 (v108(constB157)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20240, 320, 20237])).
% 40.08/26.56 tff(20242,plain,
% 40.08/26.56 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20243,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 40.08/26.56 tff(20244,plain,
% 40.08/26.56 (nextState(constB157, constB158)),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20243, 20242])).
% 40.08/26.56 tff(20245,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20246,plain,
% 40.08/26.56 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20247,plain,
% 40.08/26.56 (((~![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))))),
% 40.08/26.56 inference(monotonicity,[status(thm)],[20246])).
% 40.08/26.56 tff(20248,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(transitivity,[status(thm)],[20247, 20245])).
% 40.08/26.56 tff(20249,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20250,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20249, 20248])).
% 40.08/26.56 tff(20251,plain,
% 40.08/26.56 (v110(constB158) | (~v108(constB157))),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20250, 337, 20244])).
% 40.08/26.56 tff(20252,plain,
% 40.08/26.56 (v110(constB158)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20251, 20241])).
% 40.08/26.56 tff(20253,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20254,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20255,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20254, 20253])).
% 40.08/26.56 tff(20256,plain,
% 40.08/26.56 (~v104(constB158)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20255, 355, 20244, 20128])).
% 40.08/26.56 tff(20257,plain,
% 40.08/26.56 (((~![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))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20258,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20259,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20258, 20257])).
% 40.08/26.56 tff(20260,plain,
% 40.08/26.56 (v102(constB158) | v104(constB158)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20259, 369, 20244])).
% 40.08/26.56 tff(20261,plain,
% 40.08/26.56 (v102(constB158)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20260, 20256])).
% 40.08/26.56 tff(20262,plain,
% 40.08/26.56 (v1(constB158) <=> v1(constB158)),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20263,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 40.08/26.56 tff(20264,plain,
% 40.08/26.56 (v1(constB158)),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20263, 20262])).
% 40.08/26.56 tff(20265,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20266,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20267,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20266, 20265])).
% 40.08/26.56 tff(20268,plain,
% 40.08/26.56 (v101(constB158) | (~v102(constB158))),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20267, 387, 20244, 20264])).
% 40.08/26.56 tff(20269,plain,
% 40.08/26.56 (v101(constB158)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20268, 20261])).
% 40.08/26.56 tff(20270,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20271,plain,
% 40.08/26.56 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20272,plain,
% 40.08/26.56 (((~![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))))),
% 40.08/26.56 inference(monotonicity,[status(thm)],[20271])).
% 40.08/26.56 tff(20273,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(transitivity,[status(thm)],[20272, 20270])).
% 40.08/26.56 tff(20274,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20275,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20274, 20273])).
% 40.08/26.56 tff(20276,plain,
% 40.08/26.56 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20275, 402, 20244])).
% 40.08/26.56 tff(20277,plain,
% 40.08/26.56 (v100(constB158) | (~v110(constB158))),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20276, 20269])).
% 40.08/26.56 tff(20278,plain,
% 40.08/26.56 (v100(constB158)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20277, 20252])).
% 40.08/26.56 tff(20279,plain,
% 40.08/26.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v123(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v123(constB157)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20280,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v123(constB157)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20281,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v123(constB157))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20280, 20279])).
% 40.08/26.56 tff(20282,plain,
% 40.08/26.56 (~v123(constB157)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20281, 2626, 20183])).
% 40.08/26.56 tff(20283,plain,
% 40.08/26.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v124(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v124(constB157)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20284,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v124(constB157)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20285,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v124(constB157))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20284, 20283])).
% 40.08/26.56 tff(20286,plain,
% 40.08/26.56 (~v124(constB157)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20285, 2637, 20183])).
% 40.08/26.56 tff(20287,plain,
% 40.08/26.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v122(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v122(constB157)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20288,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v122(constB157)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20289,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v122(constB157))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20288, 20287])).
% 40.08/26.56 tff(20290,plain,
% 40.08/26.56 (~v122(constB157)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20289, 3526, 20152])).
% 40.08/26.56 tff(20291,plain,
% 40.08/26.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v120(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v120(constB157)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20292,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v120(constB157)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20293,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v120(constB157))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20292, 20291])).
% 40.08/26.56 tff(20294,plain,
% 40.08/26.56 (~v120(constB157)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20293, 2615, 20183])).
% 40.08/26.56 tff(20295,plain,
% 40.08/26.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v121(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v121(constB157)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20296,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v121(constB157)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20297,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v121(constB157))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20296, 20295])).
% 40.08/26.56 tff(20298,plain,
% 40.08/26.56 (~v121(constB157)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20297, 2586, 20152])).
% 40.08/26.56 tff(20299,plain,
% 40.08/26.56 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20300,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20301,plain,
% 40.08/26.56 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20300, 20299])).
% 40.08/26.56 tff(20302,plain,
% 40.08/26.56 (~v119(constB157)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20301, 2604, 20183])).
% 40.08/26.56 tff(20303,plain,
% 40.08/26.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20304,plain,
% 40.08/26.56 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2))) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20305,plain,
% 40.08/26.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2))))),
% 40.08/26.56 inference(monotonicity,[status(thm)],[20304])).
% 40.08/26.56 tff(20306,plain,
% 40.08/26.56 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2)))),
% 40.08/26.56 inference(transitivity,[status(thm)],[20305, 20303])).
% 40.08/26.56 tff(20307,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20308,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex2))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20307, 20306])).
% 40.08/26.56 tff(20309,plain,
% 40.08/26.56 (~v130(constB157, bitIndex2)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20308, 1993, 20302, 20298, 20294, 20290, 20286, 20282])).
% 40.08/26.56 tff(20310,plain,
% 40.08/26.56 (((~![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))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20311,plain,
% 40.08/26.56 ((v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2))) <=> ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20312,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(monotonicity,[status(thm)],[20311])).
% 40.08/26.56 tff(20313,plain,
% 40.08/26.56 (((~![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))),
% 40.08/26.56 inference(transitivity,[status(thm)],[20312, 20310])).
% 40.08/26.56 tff(20314,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20315,plain,
% 40.08/26.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20314, 20313])).
% 40.08/26.56 tff(20316,plain,
% 40.08/26.56 ((~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20315, 435, 20229])).
% 40.08/26.56 tff(20317,plain,
% 40.08/26.56 (~v127(constB157, bitIndex2)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20316, 20309])).
% 40.08/26.56 tff(20318,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20319,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20320,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20319, 20318])).
% 40.08/26.56 tff(20321,plain,
% 40.08/26.56 (v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20320, 453, 20244])).
% 40.08/26.56 tff(20322,plain,
% 40.08/26.56 (~v129(constB158, bitIndex2)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20321, 20317])).
% 40.08/26.56 tff(20323,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20324,plain,
% 40.08/26.56 (((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2)) <=> ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20325,plain,
% 40.08/26.56 (((~![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))))),
% 40.08/26.56 inference(monotonicity,[status(thm)],[20324])).
% 40.08/26.56 tff(20326,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(transitivity,[status(thm)],[20325, 20323])).
% 40.08/26.56 tff(20327,plain,
% 40.08/26.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20328,plain,
% 40.08/26.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20327, 20326])).
% 40.08/26.56 tff(20329,plain,
% 40.08/26.56 ((~v90(constB158, bitIndex2)) | (~v100(constB158))),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20328, 468, 20322])).
% 40.08/26.56 tff(20330,plain,
% 40.08/26.56 (~v90(constB158, bitIndex2)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20329, 20278])).
% 40.08/26.56 tff(20331,plain,
% 40.08/26.56 ((~v1(constB159)) <=> (~v1(constB159))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20332,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 40.08/26.56 tff(20333,plain,
% 40.08/26.56 (~v1(constB159)),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20332, 20331])).
% 40.08/26.56 tff(20334,plain,
% 40.08/26.56 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20335,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 40.08/26.56 tff(20336,plain,
% 40.08/26.56 (nextState(constB158, constB159)),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20335, 20334])).
% 40.08/26.56 tff(20337,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20338,plain,
% 40.08/26.56 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20339,plain,
% 40.08/26.56 (((~![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))))),
% 40.08/26.56 inference(monotonicity,[status(thm)],[20338])).
% 40.08/26.56 tff(20340,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(transitivity,[status(thm)],[20339, 20337])).
% 40.08/26.56 tff(20341,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20342,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20341, 20340])).
% 40.08/26.56 tff(20343,plain,
% 40.08/26.56 (~v101(constB159)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20342, 133, 20336, 20333])).
% 40.08/26.56 tff(20344,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20345,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20346,plain,
% 40.08/26.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20345, 20344])).
% 40.08/26.56 tff(20347,plain,
% 40.08/26.56 (v101(constB159) | (~v100(constB159))),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20346, 150, 20336])).
% 40.08/26.56 tff(20348,plain,
% 40.08/26.56 (~v100(constB159)),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20347, 20343])).
% 40.08/26.56 tff(20349,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20350,plain,
% 40.08/26.56 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))) <=> (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 40.08/26.56 inference(rewrite,[status(thm)],[])).
% 40.08/26.56 tff(20351,plain,
% 40.08/26.56 (((~![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))))),
% 40.08/26.56 inference(monotonicity,[status(thm)],[20350])).
% 40.08/26.56 tff(20352,plain,
% 40.08/26.56 (((~![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)))),
% 40.08/26.56 inference(transitivity,[status(thm)],[20351, 20349])).
% 40.08/26.56 tff(20353,plain,
% 40.08/26.56 ((~![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)))),
% 40.08/26.56 inference(quant_inst,[status(thm)],[])).
% 40.08/26.56 tff(20354,plain,
% 40.08/26.56 ((~![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))),
% 40.08/26.56 inference(modus_ponens,[status(thm)],[20353, 20352])).
% 40.08/26.56 tff(20355,plain,
% 40.08/26.56 (v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 40.08/26.56 inference(unit_resolution,[status(thm)],[20354, 165, 20336])).
% 40.08/26.57 tff(20356,plain,
% 40.08/26.57 (v90(constB158, bitIndex2) | (~v90(constB159, bitIndex2))),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20355, 20348])).
% 40.08/26.57 tff(20357,plain,
% 40.08/26.57 (~v90(constB159, bitIndex2)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20356, 20330])).
% 40.08/26.57 tff(20358,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20359,plain,
% 40.08/26.57 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1))) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20360,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1))))),
% 40.08/26.57 inference(monotonicity,[status(thm)],[20359])).
% 40.08/26.57 tff(20361,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1)))),
% 40.08/26.57 inference(transitivity,[status(thm)],[20360, 20358])).
% 40.08/26.57 tff(20362,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20363,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~v130(constB157, bitIndex1))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20362, 20361])).
% 40.08/26.57 tff(20364,plain,
% 40.08/26.57 (~v130(constB157, bitIndex1)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20363, 1562, 20302, 20298, 20294, 20290, 20286, 20282])).
% 40.08/26.57 tff(20365,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20366,plain,
% 40.08/26.57 ((v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1))) <=> ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20367,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)))),
% 40.08/26.57 inference(monotonicity,[status(thm)],[20366])).
% 40.08/26.57 tff(20368,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 40.08/26.57 inference(transitivity,[status(thm)],[20367, 20365])).
% 40.08/26.57 tff(20369,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20370,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20369, 20368])).
% 40.08/26.57 tff(20371,plain,
% 40.08/26.57 ((~v127(constB157, bitIndex1)) | v130(constB157, bitIndex1)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20370, 527, 20229])).
% 40.08/26.57 tff(20372,plain,
% 40.08/26.57 (~v127(constB157, bitIndex1)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20371, 20364])).
% 40.08/26.57 tff(20373,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20374,plain,
% 40.08/26.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20375,plain,
% 40.08/26.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20374, 20373])).
% 40.08/26.57 tff(20376,plain,
% 40.08/26.57 (v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20375, 545, 20244])).
% 40.08/26.57 tff(20377,plain,
% 40.08/26.57 (~v129(constB158, bitIndex1)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20376, 20372])).
% 40.08/26.57 tff(20378,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20379,plain,
% 40.08/26.57 (((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1)) <=> ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20380,plain,
% 40.08/26.57 (((~![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))))),
% 40.08/26.57 inference(monotonicity,[status(thm)],[20379])).
% 40.08/26.57 tff(20381,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(transitivity,[status(thm)],[20380, 20378])).
% 40.08/26.57 tff(20382,plain,
% 40.08/26.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20383,plain,
% 40.08/26.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20382, 20381])).
% 40.08/26.57 tff(20384,plain,
% 40.08/26.57 ((~v90(constB158, bitIndex1)) | (~v100(constB158))),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20383, 560, 20377])).
% 40.08/26.57 tff(20385,plain,
% 40.08/26.57 (~v90(constB158, bitIndex1)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20384, 20278])).
% 40.08/26.57 tff(20386,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20387,plain,
% 40.08/26.57 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))) <=> (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20388,plain,
% 40.08/26.57 (((~![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))))),
% 40.08/26.57 inference(monotonicity,[status(thm)],[20387])).
% 40.08/26.57 tff(20389,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(transitivity,[status(thm)],[20388, 20386])).
% 40.08/26.57 tff(20390,plain,
% 40.08/26.57 ((~![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)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20391,plain,
% 40.08/26.57 ((~![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))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20390, 20389])).
% 40.08/26.57 tff(20392,plain,
% 40.08/26.57 (v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20391, 186, 20336])).
% 40.08/26.57 tff(20393,plain,
% 40.08/26.57 (v90(constB158, bitIndex1) | (~v90(constB159, bitIndex1))),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20392, 20348])).
% 40.08/26.57 tff(20394,plain,
% 40.08/26.57 (~v90(constB159, bitIndex1)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20393, 20385])).
% 40.08/26.57 tff(20395,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20396,plain,
% 40.08/26.57 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0)) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20397,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0)))),
% 40.08/26.57 inference(monotonicity,[status(thm)],[20396])).
% 40.08/26.57 tff(20398,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0))),
% 40.08/26.57 inference(transitivity,[status(thm)],[20397, 20395])).
% 40.08/26.57 tff(20399,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20400,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | v130(constB157, bitIndex0)),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20399, 20398])).
% 40.08/26.57 tff(20401,plain,
% 40.08/26.57 (v130(constB157, bitIndex0)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20400, 2753, 20302, 20298, 20294, 20290, 20286, 20282])).
% 40.08/26.57 tff(20402,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20403,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20404,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20403, 20402])).
% 40.08/26.57 tff(20405,plain,
% 40.08/26.57 ((~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20404, 601, 20229])).
% 40.08/26.57 tff(20406,plain,
% 40.08/26.57 (v127(constB157, bitIndex0)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20405, 20401])).
% 40.08/26.57 tff(20407,plain,
% 40.08/26.57 (((~![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))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20408,plain,
% 40.08/26.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20409,plain,
% 40.08/26.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20408, 20407])).
% 40.08/26.57 tff(20410,plain,
% 40.08/26.57 ((~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20409, 616, 20244])).
% 40.08/26.57 tff(20411,plain,
% 40.08/26.57 (v129(constB158, bitIndex0)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20410, 20406])).
% 40.08/26.57 tff(20412,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20413,plain,
% 40.08/26.57 ((v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20414,plain,
% 40.08/26.57 (((~![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))))),
% 40.08/26.57 inference(monotonicity,[status(thm)],[20413])).
% 40.08/26.57 tff(20415,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(transitivity,[status(thm)],[20414, 20412])).
% 40.08/26.57 tff(20416,plain,
% 40.08/26.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20417,plain,
% 40.08/26.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20416, 20415])).
% 40.08/26.57 tff(20418,plain,
% 40.08/26.57 (v90(constB158, bitIndex0) | (~v100(constB158))),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20417, 631, 20411])).
% 40.08/26.57 tff(20419,plain,
% 40.08/26.57 (v90(constB158, bitIndex0)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20418, 20278])).
% 40.08/26.57 tff(20420,plain,
% 40.08/26.57 (((~![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))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20421,plain,
% 40.08/26.57 (((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20422,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(monotonicity,[status(thm)],[20421])).
% 40.08/26.57 tff(20423,plain,
% 40.08/26.57 (((~![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))),
% 40.08/26.57 inference(transitivity,[status(thm)],[20422, 20420])).
% 40.08/26.57 tff(20424,plain,
% 40.08/26.57 ((~![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))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20425,plain,
% 40.08/26.57 ((~![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)),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20424, 20423])).
% 40.08/26.57 tff(20426,plain,
% 40.08/26.57 ((~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20425, 649, 20336])).
% 40.08/26.57 tff(20427,plain,
% 40.08/26.57 ((~v90(constB158, bitIndex0)) | v90(constB159, bitIndex0)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20426, 20348])).
% 40.08/26.57 tff(20428,plain,
% 40.08/26.57 (v90(constB159, bitIndex0)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20427, 20419])).
% 40.08/26.57 tff(20429,plain,
% 40.08/26.57 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20430,plain,
% 40.08/26.57 (((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2)) <=> ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20431,plain,
% 40.08/26.57 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159)))),
% 40.08/26.57 inference(monotonicity,[status(thm)],[20430])).
% 40.08/26.57 tff(20432,plain,
% 40.08/26.57 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 40.08/26.57 inference(transitivity,[status(thm)],[20431, 20429])).
% 40.08/26.57 tff(20433,plain,
% 40.08/26.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20434,plain,
% 40.08/26.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159)),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20433, 20432])).
% 40.08/26.57 tff(20435,plain,
% 40.08/26.57 (v120(constB159)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20434, 668, 20428, 20394, 20357])).
% 40.08/26.57 tff(20436,assumption,(v120(constB159)), introduced(assumption)).
% 40.08/26.57 tff(20437,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB159) | (~v120(constB159)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB159) | (~v120(constB159)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20438,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB159) | (~v120(constB159)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20439,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB159) | (~v120(constB159))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20438, 20437])).
% 40.08/26.57 tff(20440,plain,
% 40.08/26.57 (v118(constB159)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20439, 778, 20436])).
% 40.08/26.57 tff(20441,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB159) | (~v118(constB159)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB159) | (~v118(constB159)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20442,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB159) | (~v118(constB159)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20443,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB159) | (~v118(constB159))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20442, 20441])).
% 40.08/26.57 tff(20444,plain,
% 40.08/26.57 (v117(constB159)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20443, 250, 20440])).
% 40.08/26.57 tff(20445,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20446,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20447,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20446, 20445])).
% 40.08/26.57 tff(20448,plain,
% 40.08/26.57 (v116(constB159)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20447, 261, 20444])).
% 40.08/26.57 tff(20449,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20450,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20451,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20450, 20449])).
% 40.08/26.57 tff(20452,plain,
% 40.08/26.57 (v115(constB159)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20451, 272, 20448])).
% 40.08/26.57 tff(20453,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20454,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20455,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20454, 20453])).
% 40.08/26.57 tff(20456,plain,
% 40.08/26.57 (v114(constB159)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20455, 283, 20452])).
% 40.08/26.57 tff(20457,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20458,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20459,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20458, 20457])).
% 40.08/26.57 tff(20460,plain,
% 40.08/26.57 (v113(constB159)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20459, 294, 20456])).
% 40.08/26.57 tff(20461,assumption,(v26(constB159)), introduced(assumption)).
% 40.08/26.57 tff(20462,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20463,plain,
% 40.08/26.57 ($false),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20462, 86, 20461])).
% 40.08/26.57 tff(20464,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 40.08/26.57 tff(20465,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20466,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20467,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159)),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20466, 20465])).
% 40.08/26.57 tff(20468,plain,
% 40.08/26.57 ((~v113(constB159)) | v112(constB159)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20467, 308, 20464])).
% 40.08/26.57 tff(20469,plain,
% 40.08/26.57 (v112(constB159)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20468, 20460])).
% 40.08/26.57 tff(20470,plain,
% 40.08/26.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20471,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20472,plain,
% 40.08/26.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20471, 20470])).
% 40.08/26.57 tff(20473,plain,
% 40.08/26.57 (v108(constB159)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20472, 320, 20469])).
% 40.08/26.57 tff(20474,plain,
% 40.08/26.57 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20475,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 40.08/26.57 tff(20476,plain,
% 40.08/26.57 (nextState(constB159, constB160)),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20475, 20474])).
% 40.08/26.57 tff(20477,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20478,plain,
% 40.08/26.57 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20479,plain,
% 40.08/26.57 (((~![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))))),
% 40.08/26.57 inference(monotonicity,[status(thm)],[20478])).
% 40.08/26.57 tff(20480,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(transitivity,[status(thm)],[20479, 20477])).
% 40.08/26.57 tff(20481,plain,
% 40.08/26.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 40.08/26.57 inference(quant_inst,[status(thm)],[])).
% 40.08/26.57 tff(20482,plain,
% 40.08/26.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 40.08/26.57 inference(modus_ponens,[status(thm)],[20481, 20480])).
% 40.08/26.57 tff(20483,plain,
% 40.08/26.57 (v110(constB160) | (~v108(constB159))),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20482, 337, 20476])).
% 40.08/26.57 tff(20484,plain,
% 40.08/26.57 (v110(constB160)),
% 40.08/26.57 inference(unit_resolution,[status(thm)],[20483, 20473])).
% 40.08/26.57 tff(20485,plain,
% 40.08/26.57 (((~![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)))),
% 40.08/26.57 inference(rewrite,[status(thm)],[])).
% 40.08/26.57 tff(20486,plain,
% 40.08/26.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20487,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20486, 20485])).
% 40.08/26.58 tff(20488,plain,
% 40.08/26.58 (~v104(constB160)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20487, 355, 20476, 20333])).
% 40.08/26.58 tff(20489,plain,
% 40.08/26.58 (((~![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))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20490,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20491,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20490, 20489])).
% 40.08/26.58 tff(20492,plain,
% 40.08/26.58 (v102(constB160) | v104(constB160)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20491, 369, 20476])).
% 40.08/26.58 tff(20493,plain,
% 40.08/26.58 (v102(constB160)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20492, 20488])).
% 40.08/26.58 tff(20494,plain,
% 40.08/26.58 (v1(constB160) <=> v1(constB160)),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20495,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 40.08/26.58 tff(20496,plain,
% 40.08/26.58 (v1(constB160)),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20495, 20494])).
% 40.08/26.58 tff(20497,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20498,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20499,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20498, 20497])).
% 40.08/26.58 tff(20500,plain,
% 40.08/26.58 (v101(constB160) | (~v102(constB160))),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20499, 387, 20476, 20496])).
% 40.08/26.58 tff(20501,plain,
% 40.08/26.58 (v101(constB160)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20500, 20493])).
% 40.08/26.58 tff(20502,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20503,plain,
% 40.08/26.58 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20504,plain,
% 40.08/26.58 (((~![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))))),
% 40.08/26.58 inference(monotonicity,[status(thm)],[20503])).
% 40.08/26.58 tff(20505,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(transitivity,[status(thm)],[20504, 20502])).
% 40.08/26.58 tff(20506,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20507,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20506, 20505])).
% 40.08/26.58 tff(20508,plain,
% 40.08/26.58 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20507, 402, 20476])).
% 40.08/26.58 tff(20509,plain,
% 40.08/26.58 (v100(constB160) | (~v110(constB160))),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20508, 20501])).
% 40.08/26.58 tff(20510,plain,
% 40.08/26.58 (v100(constB160)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20509, 20484])).
% 40.08/26.58 tff(20511,plain,
% 40.08/26.58 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20512,plain,
% 40.08/26.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20513,plain,
% 40.08/26.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20512, 20511])).
% 40.08/26.58 tff(20514,plain,
% 40.08/26.58 (~v130(constB159, bitIndex2)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20513, 685, 20436])).
% 40.08/26.58 tff(20515,plain,
% 40.08/26.58 (((~![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))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20516,plain,
% 40.08/26.58 ((v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2))) <=> ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20517,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(monotonicity,[status(thm)],[20516])).
% 40.08/26.58 tff(20518,plain,
% 40.08/26.58 (((~![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))),
% 40.08/26.58 inference(transitivity,[status(thm)],[20517, 20515])).
% 40.08/26.58 tff(20519,plain,
% 40.08/26.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20520,plain,
% 40.08/26.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20519, 20518])).
% 40.08/26.58 tff(20521,plain,
% 40.08/26.58 ((~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20520, 435, 20464])).
% 40.08/26.58 tff(20522,plain,
% 40.08/26.58 (~v127(constB159, bitIndex2)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20521, 20514])).
% 40.08/26.58 tff(20523,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20524,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20525,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20524, 20523])).
% 40.08/26.58 tff(20526,plain,
% 40.08/26.58 (v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20525, 453, 20476])).
% 40.08/26.58 tff(20527,plain,
% 40.08/26.58 (~v129(constB160, bitIndex2)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20526, 20522])).
% 40.08/26.58 tff(20528,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20529,plain,
% 40.08/26.58 (((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2)) <=> ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20530,plain,
% 40.08/26.58 (((~![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))))),
% 40.08/26.58 inference(monotonicity,[status(thm)],[20529])).
% 40.08/26.58 tff(20531,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(transitivity,[status(thm)],[20530, 20528])).
% 40.08/26.58 tff(20532,plain,
% 40.08/26.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20533,plain,
% 40.08/26.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20532, 20531])).
% 40.08/26.58 tff(20534,plain,
% 40.08/26.58 ((~v90(constB160, bitIndex2)) | (~v100(constB160))),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20533, 468, 20527])).
% 40.08/26.58 tff(20535,plain,
% 40.08/26.58 (~v90(constB160, bitIndex2)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20534, 20510])).
% 40.08/26.58 tff(20536,plain,
% 40.08/26.58 ((~v1(constB161)) <=> (~v1(constB161))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20537,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 40.08/26.58 tff(20538,plain,
% 40.08/26.58 (~v1(constB161)),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20537, 20536])).
% 40.08/26.58 tff(20539,plain,
% 40.08/26.58 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20540,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 40.08/26.58 tff(20541,plain,
% 40.08/26.58 (nextState(constB160, constB161)),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20540, 20539])).
% 40.08/26.58 tff(20542,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20543,plain,
% 40.08/26.58 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20544,plain,
% 40.08/26.58 (((~![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))))),
% 40.08/26.58 inference(monotonicity,[status(thm)],[20543])).
% 40.08/26.58 tff(20545,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(transitivity,[status(thm)],[20544, 20542])).
% 40.08/26.58 tff(20546,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20547,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20546, 20545])).
% 40.08/26.58 tff(20548,plain,
% 40.08/26.58 (~v101(constB161)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20547, 133, 20541, 20538])).
% 40.08/26.58 tff(20549,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20550,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20551,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20550, 20549])).
% 40.08/26.58 tff(20552,plain,
% 40.08/26.58 (v101(constB161) | (~v100(constB161))),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20551, 150, 20541])).
% 40.08/26.58 tff(20553,plain,
% 40.08/26.58 (~v100(constB161)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20552, 20548])).
% 40.08/26.58 tff(20554,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20555,plain,
% 40.08/26.58 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))) <=> (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20556,plain,
% 40.08/26.58 (((~![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))))),
% 40.08/26.58 inference(monotonicity,[status(thm)],[20555])).
% 40.08/26.58 tff(20557,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(transitivity,[status(thm)],[20556, 20554])).
% 40.08/26.58 tff(20558,plain,
% 40.08/26.58 ((~![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)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20559,plain,
% 40.08/26.58 ((~![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))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20558, 20557])).
% 40.08/26.58 tff(20560,plain,
% 40.08/26.58 (v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20559, 165, 20541])).
% 40.08/26.58 tff(20561,plain,
% 40.08/26.58 (v90(constB160, bitIndex2) | (~v90(constB161, bitIndex2))),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20560, 20553])).
% 40.08/26.58 tff(20562,plain,
% 40.08/26.58 (~v90(constB161, bitIndex2)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20561, 20535])).
% 40.08/26.58 tff(20563,plain,
% 40.08/26.58 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB159)) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB159)) | v130(constB159, bitIndex1))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20564,plain,
% 40.08/26.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB159)) | v130(constB159, bitIndex1))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20565,plain,
% 40.08/26.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB159)) | v130(constB159, bitIndex1)),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20564, 20563])).
% 40.08/26.58 tff(20566,plain,
% 40.08/26.58 (v130(constB159, bitIndex1)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20565, 868, 20436])).
% 40.08/26.58 tff(20567,plain,
% 40.08/26.58 (((~![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))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20568,plain,
% 40.08/26.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20569,plain,
% 40.08/26.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20568, 20567])).
% 40.08/26.58 tff(20570,plain,
% 40.08/26.58 ((~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20569, 882, 20464])).
% 40.08/26.58 tff(20571,plain,
% 40.08/26.58 (v127(constB159, bitIndex1)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20570, 20566])).
% 40.08/26.58 tff(20572,plain,
% 40.08/26.58 (((~![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))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20573,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20574,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20573, 20572])).
% 40.08/26.58 tff(20575,plain,
% 40.08/26.58 ((~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20574, 897, 20476])).
% 40.08/26.58 tff(20576,plain,
% 40.08/26.58 (v129(constB160, bitIndex1)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20575, 20571])).
% 40.08/26.58 tff(20577,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20578,plain,
% 40.08/26.58 ((v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20579,plain,
% 40.08/26.58 (((~![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))))),
% 40.08/26.58 inference(monotonicity,[status(thm)],[20578])).
% 40.08/26.58 tff(20580,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(transitivity,[status(thm)],[20579, 20577])).
% 40.08/26.58 tff(20581,plain,
% 40.08/26.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20582,plain,
% 40.08/26.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20581, 20580])).
% 40.08/26.58 tff(20583,plain,
% 40.08/26.58 (v90(constB160, bitIndex1) | (~v100(constB160))),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20582, 912, 20576])).
% 40.08/26.58 tff(20584,plain,
% 40.08/26.58 (v90(constB160, bitIndex1)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20583, 20510])).
% 40.08/26.58 tff(20585,plain,
% 40.08/26.58 (((~![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))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20586,plain,
% 40.08/26.58 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20587,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(monotonicity,[status(thm)],[20586])).
% 40.08/26.58 tff(20588,plain,
% 40.08/26.58 (((~![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))),
% 40.08/26.58 inference(transitivity,[status(thm)],[20587, 20585])).
% 40.08/26.58 tff(20589,plain,
% 40.08/26.58 ((~![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))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20590,plain,
% 40.08/26.58 ((~![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)),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20589, 20588])).
% 40.08/26.58 tff(20591,plain,
% 40.08/26.58 ((~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20590, 1049, 20541])).
% 40.08/26.58 tff(20592,plain,
% 40.08/26.58 ((~v90(constB160, bitIndex1)) | v90(constB161, bitIndex1)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20591, 20553])).
% 40.08/26.58 tff(20593,plain,
% 40.08/26.58 (v90(constB161, bitIndex1)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20592, 20584])).
% 40.08/26.58 tff(20594,plain,
% 40.08/26.58 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB159)) | (~v130(constB159, bitIndex0)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20595,plain,
% 40.08/26.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex0)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20596,plain,
% 40.08/26.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB159)) | (~v130(constB159, bitIndex0))),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20595, 20594])).
% 40.08/26.58 tff(20597,plain,
% 40.08/26.58 (~v130(constB159, bitIndex0)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20596, 930, 20436])).
% 40.08/26.58 tff(20598,plain,
% 40.08/26.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20599,plain,
% 40.08/26.58 ((v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0))) <=> ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20600,plain,
% 40.08/26.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)))),
% 40.08/26.58 inference(monotonicity,[status(thm)],[20599])).
% 40.08/26.58 tff(20601,plain,
% 40.08/26.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 40.08/26.58 inference(transitivity,[status(thm)],[20600, 20598])).
% 40.08/26.58 tff(20602,plain,
% 40.08/26.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20603,plain,
% 40.08/26.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)),
% 40.08/26.58 inference(modus_ponens,[status(thm)],[20602, 20601])).
% 40.08/26.58 tff(20604,plain,
% 40.08/26.58 ((~v127(constB159, bitIndex0)) | v130(constB159, bitIndex0)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20603, 944, 20464])).
% 40.08/26.58 tff(20605,plain,
% 40.08/26.58 (~v127(constB159, bitIndex0)),
% 40.08/26.58 inference(unit_resolution,[status(thm)],[20604, 20597])).
% 40.08/26.58 tff(20606,plain,
% 40.08/26.58 (((~![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)))),
% 40.08/26.58 inference(rewrite,[status(thm)],[])).
% 40.08/26.58 tff(20607,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 40.08/26.58 inference(quant_inst,[status(thm)],[])).
% 40.08/26.58 tff(20608,plain,
% 40.08/26.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20607, 20606])).
% 40.08/26.59 tff(20609,plain,
% 40.08/26.59 (v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20608, 962, 20476])).
% 40.08/26.59 tff(20610,plain,
% 40.08/26.59 (~v129(constB160, bitIndex0)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20609, 20605])).
% 40.08/26.59 tff(20611,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20612,plain,
% 40.08/26.59 (((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0)) <=> ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20613,plain,
% 40.08/26.59 (((~![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))))),
% 40.08/26.59 inference(monotonicity,[status(thm)],[20612])).
% 40.08/26.59 tff(20614,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(transitivity,[status(thm)],[20613, 20611])).
% 40.08/26.59 tff(20615,plain,
% 40.08/26.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20616,plain,
% 40.08/26.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20615, 20614])).
% 40.08/26.59 tff(20617,plain,
% 40.08/26.59 ((~v90(constB160, bitIndex0)) | (~v100(constB160))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20616, 977, 20610])).
% 40.08/26.59 tff(20618,plain,
% 40.08/26.59 (~v90(constB160, bitIndex0)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20617, 20510])).
% 40.08/26.59 tff(20619,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20620,plain,
% 40.08/26.59 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))) <=> (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20621,plain,
% 40.08/26.59 (((~![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))))),
% 40.08/26.59 inference(monotonicity,[status(thm)],[20620])).
% 40.08/26.59 tff(20622,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(transitivity,[status(thm)],[20621, 20619])).
% 40.08/26.59 tff(20623,plain,
% 40.08/26.59 ((~![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)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20624,plain,
% 40.08/26.59 ((~![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))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20623, 20622])).
% 40.08/26.59 tff(20625,plain,
% 40.08/26.59 (v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20624, 207, 20541])).
% 40.08/26.59 tff(20626,plain,
% 40.08/26.59 (v90(constB160, bitIndex0) | (~v90(constB161, bitIndex0))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20625, 20553])).
% 40.08/26.59 tff(20627,plain,
% 40.08/26.59 (~v90(constB161, bitIndex0)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20626, 20618])).
% 40.08/26.59 tff(20628,assumption,(~v121(constB161)), introduced(assumption)).
% 40.08/26.59 tff(20629,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20630,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20631,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161)),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20630, 20629])).
% 40.08/26.59 tff(20632,plain,
% 40.08/26.59 (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20631, 996, 20628])).
% 40.08/26.59 tff(20633,plain,
% 40.08/26.59 ($false),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20632, 20627, 20593, 20562])).
% 40.08/26.59 tff(20634,plain,((~v120(constB159)) | v121(constB161)), inference(lemma,lemma(discharge,[]))).
% 40.08/26.59 tff(20635,plain,
% 40.08/26.59 (v121(constB161)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20634, 20435])).
% 40.08/26.59 tff(20636,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB161) | (~v121(constB161)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB161) | (~v121(constB161)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20637,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB161) | (~v121(constB161)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20638,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB161) | (~v121(constB161))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20637, 20636])).
% 40.08/26.59 tff(20639,plain,
% 40.08/26.59 (v117(constB161)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20638, 1130, 20635])).
% 40.08/26.59 tff(20640,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB161) | (~v117(constB161)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20641,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB161) | (~v117(constB161)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20642,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB161) | (~v117(constB161))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 40.08/26.59 tff(20643,plain,
% 40.08/26.59 (v116(constB161)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20642, 261, 20639])).
% 40.08/26.59 tff(20644,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20645,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20646,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20645, 20644])).
% 40.08/26.59 tff(20647,plain,
% 40.08/26.59 (v115(constB161)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20646, 272, 20643])).
% 40.08/26.59 tff(20648,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20649,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20650,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20649, 20648])).
% 40.08/26.59 tff(20651,plain,
% 40.08/26.59 (v114(constB161)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20650, 283, 20647])).
% 40.08/26.59 tff(20652,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20653,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20654,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20653, 20652])).
% 40.08/26.59 tff(20655,plain,
% 40.08/26.59 (v113(constB161)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20654, 294, 20651])).
% 40.08/26.59 tff(20656,assumption,(v26(constB161)), introduced(assumption)).
% 40.08/26.59 tff(20657,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20658,plain,
% 40.08/26.59 ($false),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20657, 86, 20656])).
% 40.08/26.59 tff(20659,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 40.08/26.59 tff(20660,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20661,plain,
% 40.08/26.59 ((v26(constB161) | (~v113(constB161)) | v112(constB161)) <=> (v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20662,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161))))),
% 40.08/26.59 inference(monotonicity,[status(thm)],[20661])).
% 40.08/26.59 tff(20663,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 40.08/26.59 inference(transitivity,[status(thm)],[20662, 20660])).
% 40.08/26.59 tff(20664,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20665,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20664, 20663])).
% 40.08/26.59 tff(20666,plain,
% 40.08/26.59 (v112(constB161) | (~v113(constB161))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20665, 308, 20659])).
% 40.08/26.59 tff(20667,plain,
% 40.08/26.59 (v112(constB161)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20666, 20655])).
% 40.08/26.59 tff(20668,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20669,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20670,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20669, 20668])).
% 40.08/26.59 tff(20671,plain,
% 40.08/26.59 (v108(constB161)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20670, 320, 20667])).
% 40.08/26.59 tff(20672,plain,
% 40.08/26.59 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20673,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 40.08/26.59 tff(20674,plain,
% 40.08/26.59 (nextState(constB161, constB162)),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20673, 20672])).
% 40.08/26.59 tff(20675,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20676,plain,
% 40.08/26.59 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20677,plain,
% 40.08/26.59 (((~![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))))),
% 40.08/26.59 inference(monotonicity,[status(thm)],[20676])).
% 40.08/26.59 tff(20678,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(transitivity,[status(thm)],[20677, 20675])).
% 40.08/26.59 tff(20679,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20680,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20679, 20678])).
% 40.08/26.59 tff(20681,plain,
% 40.08/26.59 (v110(constB162) | (~v108(constB161))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20680, 337, 20674])).
% 40.08/26.59 tff(20682,plain,
% 40.08/26.59 (v110(constB162)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20681, 20671])).
% 40.08/26.59 tff(20683,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20684,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20685,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20684, 20683])).
% 40.08/26.59 tff(20686,plain,
% 40.08/26.59 (~v104(constB162)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20685, 355, 20674, 20538])).
% 40.08/26.59 tff(20687,plain,
% 40.08/26.59 (((~![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))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20688,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20689,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20688, 20687])).
% 40.08/26.59 tff(20690,plain,
% 40.08/26.59 (v102(constB162) | v104(constB162)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20689, 369, 20674])).
% 40.08/26.59 tff(20691,plain,
% 40.08/26.59 (v102(constB162)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20690, 20686])).
% 40.08/26.59 tff(20692,plain,
% 40.08/26.59 (v1(constB162) <=> v1(constB162)),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20693,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 40.08/26.59 tff(20694,plain,
% 40.08/26.59 (v1(constB162)),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20693, 20692])).
% 40.08/26.59 tff(20695,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20696,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20697,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20696, 20695])).
% 40.08/26.59 tff(20698,plain,
% 40.08/26.59 (v101(constB162) | (~v102(constB162))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20697, 387, 20674, 20694])).
% 40.08/26.59 tff(20699,plain,
% 40.08/26.59 (v101(constB162)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20698, 20691])).
% 40.08/26.59 tff(20700,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20701,plain,
% 40.08/26.59 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20702,plain,
% 40.08/26.59 (((~![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))))),
% 40.08/26.59 inference(monotonicity,[status(thm)],[20701])).
% 40.08/26.59 tff(20703,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(transitivity,[status(thm)],[20702, 20700])).
% 40.08/26.59 tff(20704,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20705,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 40.08/26.59 tff(20706,plain,
% 40.08/26.59 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20705, 402, 20674])).
% 40.08/26.59 tff(20707,plain,
% 40.08/26.59 (v100(constB162) | (~v110(constB162))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20706, 20699])).
% 40.08/26.59 tff(20708,plain,
% 40.08/26.59 (v100(constB162)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20707, 20682])).
% 40.08/26.59 tff(20709,plain,
% 40.08/26.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20710,plain,
% 40.08/26.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20711,plain,
% 40.08/26.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20710, 20709])).
% 40.08/26.59 tff(20712,plain,
% 40.08/26.59 (~v130(constB161, bitIndex2)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20711, 1102, 20635])).
% 40.08/26.59 tff(20713,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20714,plain,
% 40.08/26.59 ((v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2))) <=> ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20715,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)))),
% 40.08/26.59 inference(monotonicity,[status(thm)],[20714])).
% 40.08/26.59 tff(20716,plain,
% 40.08/26.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 40.08/26.59 inference(transitivity,[status(thm)],[20715, 20713])).
% 40.08/26.59 tff(20717,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20718,plain,
% 40.08/26.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20717, 20716])).
% 40.08/26.59 tff(20719,plain,
% 40.08/26.59 ((~v127(constB161, bitIndex2)) | v130(constB161, bitIndex2)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20718, 435, 20659])).
% 40.08/26.59 tff(20720,plain,
% 40.08/26.59 (~v127(constB161, bitIndex2)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20719, 20712])).
% 40.08/26.59 tff(20721,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20722,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20723,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20722, 20721])).
% 40.08/26.59 tff(20724,plain,
% 40.08/26.59 (v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20723, 453, 20674])).
% 40.08/26.59 tff(20725,plain,
% 40.08/26.59 (~v129(constB162, bitIndex2)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20724, 20720])).
% 40.08/26.59 tff(20726,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20727,plain,
% 40.08/26.59 (((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2)) <=> ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20728,plain,
% 40.08/26.59 (((~![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))))),
% 40.08/26.59 inference(monotonicity,[status(thm)],[20727])).
% 40.08/26.59 tff(20729,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(transitivity,[status(thm)],[20728, 20726])).
% 40.08/26.59 tff(20730,plain,
% 40.08/26.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20731,plain,
% 40.08/26.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162))),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20730, 20729])).
% 40.08/26.59 tff(20732,plain,
% 40.08/26.59 ((~v90(constB162, bitIndex2)) | (~v100(constB162))),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20731, 468, 20725])).
% 40.08/26.59 tff(20733,plain,
% 40.08/26.59 (~v90(constB162, bitIndex2)),
% 40.08/26.59 inference(unit_resolution,[status(thm)],[20732, 20708])).
% 40.08/26.59 tff(20734,plain,
% 40.08/26.59 ((~v1(constB163)) <=> (~v1(constB163))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20735,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 40.08/26.59 tff(20736,plain,
% 40.08/26.59 (~v1(constB163)),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20735, 20734])).
% 40.08/26.59 tff(20737,plain,
% 40.08/26.59 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20738,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 40.08/26.59 tff(20739,plain,
% 40.08/26.59 (nextState(constB162, constB163)),
% 40.08/26.59 inference(modus_ponens,[status(thm)],[20738, 20737])).
% 40.08/26.59 tff(20740,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20741,plain,
% 40.08/26.59 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 40.08/26.59 inference(rewrite,[status(thm)],[])).
% 40.08/26.59 tff(20742,plain,
% 40.08/26.59 (((~![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))))),
% 40.08/26.59 inference(monotonicity,[status(thm)],[20741])).
% 40.08/26.59 tff(20743,plain,
% 40.08/26.59 (((~![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)))),
% 40.08/26.59 inference(transitivity,[status(thm)],[20742, 20740])).
% 40.08/26.59 tff(20744,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 40.08/26.59 inference(quant_inst,[status(thm)],[])).
% 40.08/26.59 tff(20745,plain,
% 40.08/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 40.16/26.59 inference(modus_ponens,[status(thm)],[20744, 20743])).
% 40.16/26.59 tff(20746,plain,
% 40.16/26.59 (~v101(constB163)),
% 40.16/26.59 inference(unit_resolution,[status(thm)],[20745, 133, 20739, 20736])).
% 40.16/26.59 tff(20747,plain,
% 40.16/26.59 (((~![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)))),
% 40.16/26.59 inference(rewrite,[status(thm)],[])).
% 40.16/26.59 tff(20748,plain,
% 40.16/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 40.16/26.59 inference(quant_inst,[status(thm)],[])).
% 40.16/26.59 tff(20749,plain,
% 40.16/26.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 40.16/26.59 inference(modus_ponens,[status(thm)],[20748, 20747])).
% 40.16/26.59 tff(20750,plain,
% 40.16/26.59 (v101(constB163) | (~v100(constB163))),
% 40.16/26.59 inference(unit_resolution,[status(thm)],[20749, 150, 20739])).
% 40.16/26.59 tff(20751,plain,
% 40.16/26.59 (~v100(constB163)),
% 40.16/26.59 inference(unit_resolution,[status(thm)],[20750, 20746])).
% 40.16/26.59 tff(20752,plain,
% 40.16/26.59 (((~![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)))),
% 40.16/26.59 inference(rewrite,[status(thm)],[])).
% 40.16/26.59 tff(20753,plain,
% 40.16/26.59 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2))) <=> (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 40.16/26.59 inference(rewrite,[status(thm)],[])).
% 40.16/26.59 tff(20754,plain,
% 40.16/26.59 (((~![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))))),
% 40.16/26.59 inference(monotonicity,[status(thm)],[20753])).
% 40.16/26.59 tff(20755,plain,
% 40.16/26.59 (((~![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)))),
% 40.16/26.59 inference(transitivity,[status(thm)],[20754, 20752])).
% 40.16/26.59 tff(20756,plain,
% 40.16/26.59 ((~![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)))),
% 40.16/26.59 inference(quant_inst,[status(thm)],[])).
% 40.16/26.59 tff(20757,plain,
% 40.16/26.59 ((~![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))),
% 40.16/26.59 inference(modus_ponens,[status(thm)],[20756, 20755])).
% 40.16/26.60 tff(20758,plain,
% 40.16/26.60 (v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2))),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20757, 165, 20739])).
% 40.16/26.60 tff(20759,plain,
% 40.16/26.60 (v90(constB162, bitIndex2) | (~v90(constB163, bitIndex2))),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20758, 20751])).
% 40.16/26.60 tff(20760,plain,
% 40.16/26.60 (~v90(constB163, bitIndex2)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20759, 20733])).
% 40.16/26.60 tff(20761,plain,
% 40.16/26.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB161)) | v130(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB161)) | v130(constB161, bitIndex1))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20762,plain,
% 40.16/26.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB161)) | v130(constB161, bitIndex1))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20763,plain,
% 40.16/26.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB161)) | v130(constB161, bitIndex1)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20762, 20761])).
% 40.16/26.60 tff(20764,plain,
% 40.16/26.60 (v130(constB161, bitIndex1)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20763, 1717, 20635])).
% 40.16/26.60 tff(20765,plain,
% 40.16/26.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20766,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20767,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20766, 20765])).
% 40.16/26.60 tff(20768,plain,
% 40.16/26.60 ((~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20767, 882, 20659])).
% 40.16/26.60 tff(20769,plain,
% 40.16/26.60 (v127(constB161, bitIndex1)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20768, 20764])).
% 40.16/26.60 tff(20770,plain,
% 40.16/26.60 (((~![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))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20771,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20772,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 40.16/26.60 tff(20773,plain,
% 40.16/26.60 ((~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20772, 897, 20674])).
% 40.16/26.60 tff(20774,plain,
% 40.16/26.60 (v129(constB162, bitIndex1)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20773, 20769])).
% 40.16/26.60 tff(20775,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20776,plain,
% 40.16/26.60 ((v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1))) <=> (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20777,plain,
% 40.16/26.60 (((~![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))))),
% 40.16/26.60 inference(monotonicity,[status(thm)],[20776])).
% 40.16/26.60 tff(20778,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(transitivity,[status(thm)],[20777, 20775])).
% 40.16/26.60 tff(20779,plain,
% 40.16/26.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20780,plain,
% 40.16/26.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20779, 20778])).
% 40.16/26.60 tff(20781,plain,
% 40.16/26.60 (v90(constB162, bitIndex1) | (~v100(constB162))),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20780, 912, 20774])).
% 40.16/26.60 tff(20782,plain,
% 40.16/26.60 (v90(constB162, bitIndex1)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20781, 20708])).
% 40.16/26.60 tff(20783,plain,
% 40.16/26.60 (((~![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))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20784,plain,
% 40.16/26.60 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1)) <=> ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20785,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(monotonicity,[status(thm)],[20784])).
% 40.16/26.60 tff(20786,plain,
% 40.16/26.60 (((~![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))),
% 40.16/26.60 inference(transitivity,[status(thm)],[20785, 20783])).
% 40.16/26.60 tff(20787,plain,
% 40.16/26.60 ((~![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))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20788,plain,
% 40.16/26.60 ((~![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)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20787, 20786])).
% 40.16/26.60 tff(20789,plain,
% 40.16/26.60 ((~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20788, 1049, 20739])).
% 40.16/26.60 tff(20790,plain,
% 40.16/26.60 ((~v90(constB162, bitIndex1)) | v90(constB163, bitIndex1)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20789, 20751])).
% 40.16/26.60 tff(20791,plain,
% 40.16/26.60 (v90(constB163, bitIndex1)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20790, 20782])).
% 40.16/26.60 tff(20792,plain,
% 40.16/26.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20793,plain,
% 40.16/26.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20794,plain,
% 40.16/26.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20793, 20792])).
% 40.16/26.60 tff(20795,plain,
% 40.16/26.60 (v130(constB161, bitIndex0)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20794, 1758, 20635])).
% 40.16/26.60 tff(20796,plain,
% 40.16/26.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20797,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20798,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20797, 20796])).
% 40.16/26.60 tff(20799,plain,
% 40.16/26.60 ((~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20798, 601, 20659])).
% 40.16/26.60 tff(20800,plain,
% 40.16/26.60 (v127(constB161, bitIndex0)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20799, 20795])).
% 40.16/26.60 tff(20801,plain,
% 40.16/26.60 (((~![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))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20802,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20803,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20802, 20801])).
% 40.16/26.60 tff(20804,plain,
% 40.16/26.60 ((~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20803, 616, 20674])).
% 40.16/26.60 tff(20805,plain,
% 40.16/26.60 (v129(constB162, bitIndex0)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20804, 20800])).
% 40.16/26.60 tff(20806,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20807,plain,
% 40.16/26.60 ((v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0))) <=> (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20808,plain,
% 40.16/26.60 (((~![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))))),
% 40.16/26.60 inference(monotonicity,[status(thm)],[20807])).
% 40.16/26.60 tff(20809,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(transitivity,[status(thm)],[20808, 20806])).
% 40.16/26.60 tff(20810,plain,
% 40.16/26.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20811,plain,
% 40.16/26.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20810, 20809])).
% 40.16/26.60 tff(20812,plain,
% 40.16/26.60 (v90(constB162, bitIndex0) | (~v100(constB162))),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20811, 631, 20805])).
% 40.16/26.60 tff(20813,plain,
% 40.16/26.60 (v90(constB162, bitIndex0)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20812, 20708])).
% 40.16/26.60 tff(20814,plain,
% 40.16/26.60 (((~![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))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20815,plain,
% 40.16/26.60 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0)) <=> ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20816,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(monotonicity,[status(thm)],[20815])).
% 40.16/26.60 tff(20817,plain,
% 40.16/26.60 (((~![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))),
% 40.16/26.60 inference(transitivity,[status(thm)],[20816, 20814])).
% 40.16/26.60 tff(20818,plain,
% 40.16/26.60 ((~![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))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20819,plain,
% 40.16/26.60 ((~![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)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20818, 20817])).
% 40.16/26.60 tff(20820,plain,
% 40.16/26.60 ((~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20819, 649, 20739])).
% 40.16/26.60 tff(20821,plain,
% 40.16/26.60 ((~v90(constB162, bitIndex0)) | v90(constB163, bitIndex0)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20820, 20751])).
% 40.16/26.60 tff(20822,plain,
% 40.16/26.60 (v90(constB163, bitIndex0)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20821, 20813])).
% 40.16/26.60 tff(20823,plain,
% 40.16/26.60 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20824,plain,
% 40.16/26.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20825,plain,
% 40.16/26.60 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20824, 20823])).
% 40.16/26.60 tff(20826,plain,
% 40.16/26.60 (v122(constB163)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20825, 1184, 20822, 20791, 20760])).
% 40.16/26.60 tff(20827,plain,
% 40.16/26.60 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB163) | (~v122(constB163)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB163) | (~v122(constB163)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20828,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB163) | (~v122(constB163)))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20829,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB163) | (~v122(constB163))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20828, 20827])).
% 40.16/26.60 tff(20830,plain,
% 40.16/26.60 (v116(constB163)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20829, 1149, 20826])).
% 40.16/26.60 tff(20831,plain,
% 40.16/26.60 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB163) | (~v116(constB163)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB163) | (~v116(constB163)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20832,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB163) | (~v116(constB163)))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20833,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB163) | (~v116(constB163))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20832, 20831])).
% 40.16/26.60 tff(20834,plain,
% 40.16/26.60 (v115(constB163)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20833, 272, 20830])).
% 40.16/26.60 tff(20835,plain,
% 40.16/26.60 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20836,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20837,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20836, 20835])).
% 40.16/26.60 tff(20838,plain,
% 40.16/26.60 (v114(constB163)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20837, 283, 20834])).
% 40.16/26.60 tff(20839,plain,
% 40.16/26.60 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20840,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20841,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20840, 20839])).
% 40.16/26.60 tff(20842,plain,
% 40.16/26.60 (v113(constB163)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20841, 294, 20838])).
% 40.16/26.60 tff(20843,assumption,(v26(constB163)), introduced(assumption)).
% 40.16/26.60 tff(20844,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20845,plain,
% 40.16/26.60 ($false),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20844, 86, 20843])).
% 40.16/26.60 tff(20846,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.60 tff(20847,plain,
% 40.16/26.60 (((~![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))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20848,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20849,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20848, 20847])).
% 40.16/26.60 tff(20850,plain,
% 40.16/26.60 ((~v113(constB163)) | v112(constB163)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20849, 308, 20846])).
% 40.16/26.60 tff(20851,plain,
% 40.16/26.60 (v112(constB163)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20850, 20842])).
% 40.16/26.60 tff(20852,plain,
% 40.16/26.60 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20853,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20854,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20853, 20852])).
% 40.16/26.60 tff(20855,plain,
% 40.16/26.60 (v108(constB163)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20854, 320, 20851])).
% 40.16/26.60 tff(20856,plain,
% 40.16/26.60 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20857,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 40.16/26.60 tff(20858,plain,
% 40.16/26.60 (nextState(constB163, constB164)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20857, 20856])).
% 40.16/26.60 tff(20859,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20860,plain,
% 40.16/26.60 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20861,plain,
% 40.16/26.60 (((~![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))))),
% 40.16/26.60 inference(monotonicity,[status(thm)],[20860])).
% 40.16/26.60 tff(20862,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(transitivity,[status(thm)],[20861, 20859])).
% 40.16/26.60 tff(20863,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20864,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20863, 20862])).
% 40.16/26.60 tff(20865,plain,
% 40.16/26.60 (v110(constB164) | (~v108(constB163))),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20864, 337, 20858])).
% 40.16/26.60 tff(20866,plain,
% 40.16/26.60 (v110(constB164)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20865, 20855])).
% 40.16/26.60 tff(20867,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20868,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20869,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20868, 20867])).
% 40.16/26.60 tff(20870,plain,
% 40.16/26.60 (~v104(constB164)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20869, 355, 20858, 20736])).
% 40.16/26.60 tff(20871,plain,
% 40.16/26.60 (((~![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))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20872,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20873,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20872, 20871])).
% 40.16/26.60 tff(20874,plain,
% 40.16/26.60 (v102(constB164) | v104(constB164)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20873, 369, 20858])).
% 40.16/26.60 tff(20875,plain,
% 40.16/26.60 (v102(constB164)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20874, 20870])).
% 40.16/26.60 tff(20876,plain,
% 40.16/26.60 (v1(constB164) <=> v1(constB164)),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20877,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 40.16/26.60 tff(20878,plain,
% 40.16/26.60 (v1(constB164)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20877, 20876])).
% 40.16/26.60 tff(20879,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20880,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20881,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20880, 20879])).
% 40.16/26.60 tff(20882,plain,
% 40.16/26.60 (v101(constB164) | (~v102(constB164))),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20881, 387, 20858, 20878])).
% 40.16/26.60 tff(20883,plain,
% 40.16/26.60 (v101(constB164)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20882, 20875])).
% 40.16/26.60 tff(20884,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20885,plain,
% 40.16/26.60 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20886,plain,
% 40.16/26.60 (((~![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))))),
% 40.16/26.60 inference(monotonicity,[status(thm)],[20885])).
% 40.16/26.60 tff(20887,plain,
% 40.16/26.60 (((~![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)))),
% 40.16/26.60 inference(transitivity,[status(thm)],[20886, 20884])).
% 40.16/26.60 tff(20888,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20889,plain,
% 40.16/26.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20888, 20887])).
% 40.16/26.60 tff(20890,plain,
% 40.16/26.60 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20889, 402, 20858])).
% 40.16/26.60 tff(20891,plain,
% 40.16/26.60 (v100(constB164) | (~v110(constB164))),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20890, 20883])).
% 40.16/26.60 tff(20892,plain,
% 40.16/26.60 (v100(constB164)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20891, 20866])).
% 40.16/26.60 tff(20893,plain,
% 40.16/26.60 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB163)) | v130(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB163)) | v130(constB163, bitIndex2))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20894,plain,
% 40.16/26.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB163)) | v130(constB163, bitIndex2))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20895,plain,
% 40.16/26.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB163)) | v130(constB163, bitIndex2)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20894, 20893])).
% 40.16/26.60 tff(20896,plain,
% 40.16/26.60 (v130(constB163, bitIndex2)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20895, 1803, 20826])).
% 40.16/26.60 tff(20897,plain,
% 40.16/26.60 (((~![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))),
% 40.16/26.60 inference(rewrite,[status(thm)],[])).
% 40.16/26.60 tff(20898,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 40.16/26.60 inference(quant_inst,[status(thm)],[])).
% 40.16/26.60 tff(20899,plain,
% 40.16/26.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 40.16/26.60 inference(modus_ponens,[status(thm)],[20898, 20897])).
% 40.16/26.60 tff(20900,plain,
% 40.16/26.60 ((~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20899, 1821, 20846])).
% 40.16/26.60 tff(20901,plain,
% 40.16/26.60 (v127(constB163, bitIndex2)),
% 40.16/26.60 inference(unit_resolution,[status(thm)],[20900, 20896])).
% 40.16/26.60 tff(20902,plain,
% 40.16/26.60 (((~![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))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20903,plain,
% 40.16/26.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20904,plain,
% 40.16/26.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20903, 20902])).
% 40.16/26.61 tff(20905,plain,
% 40.16/26.61 ((~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20904, 1836, 20858])).
% 40.16/26.61 tff(20906,plain,
% 40.16/26.61 (v129(constB164, bitIndex2)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20905, 20901])).
% 40.16/26.61 tff(20907,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20908,plain,
% 40.16/26.61 ((v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2))) <=> (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20909,plain,
% 40.16/26.61 (((~![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))))),
% 40.16/26.61 inference(monotonicity,[status(thm)],[20908])).
% 40.16/26.61 tff(20910,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(transitivity,[status(thm)],[20909, 20907])).
% 40.16/26.61 tff(20911,plain,
% 40.16/26.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20912,plain,
% 40.16/26.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20911, 20910])).
% 40.16/26.61 tff(20913,plain,
% 40.16/26.61 (v90(constB164, bitIndex2) | (~v100(constB164))),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20912, 2100, 20906])).
% 40.16/26.61 tff(20914,plain,
% 40.16/26.61 (v90(constB164, bitIndex2)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20913, 20892])).
% 40.16/26.61 tff(20915,plain,
% 40.16/26.61 ((~v1(constB165)) <=> (~v1(constB165))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20916,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 40.16/26.61 tff(20917,plain,
% 40.16/26.61 (~v1(constB165)),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20916, 20915])).
% 40.16/26.61 tff(20918,plain,
% 40.16/26.61 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20919,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 40.16/26.61 tff(20920,plain,
% 40.16/26.61 (nextState(constB164, constB165)),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20919, 20918])).
% 40.16/26.61 tff(20921,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20922,plain,
% 40.16/26.61 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20923,plain,
% 40.16/26.61 (((~![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))))),
% 40.16/26.61 inference(monotonicity,[status(thm)],[20922])).
% 40.16/26.61 tff(20924,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(transitivity,[status(thm)],[20923, 20921])).
% 40.16/26.61 tff(20925,plain,
% 40.16/26.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20926,plain,
% 40.16/26.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20925, 20924])).
% 40.16/26.61 tff(20927,plain,
% 40.16/26.61 (~v101(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20926, 133, 20920, 20917])).
% 40.16/26.61 tff(20928,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20929,plain,
% 40.16/26.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20930,plain,
% 40.16/26.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 40.16/26.61 tff(20931,plain,
% 40.16/26.61 (v101(constB165) | (~v100(constB165))),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20930, 150, 20920])).
% 40.16/26.61 tff(20932,plain,
% 40.16/26.61 (~v100(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20931, 20927])).
% 40.16/26.61 tff(20933,plain,
% 40.16/26.61 (((~![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))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20934,plain,
% 40.16/26.61 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)) <=> ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20935,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(monotonicity,[status(thm)],[20934])).
% 40.16/26.61 tff(20936,plain,
% 40.16/26.61 (((~![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))),
% 40.16/26.61 inference(transitivity,[status(thm)],[20935, 20933])).
% 40.16/26.61 tff(20937,plain,
% 40.16/26.61 ((~![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))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20938,plain,
% 40.16/26.61 ((~![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)),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20937, 20936])).
% 40.16/26.61 tff(20939,plain,
% 40.16/26.61 ((~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20938, 2118, 20920])).
% 40.16/26.61 tff(20940,plain,
% 40.16/26.61 ((~v90(constB164, bitIndex2)) | v90(constB165, bitIndex2)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20939, 20932])).
% 40.16/26.61 tff(20941,plain,
% 40.16/26.61 (v90(constB165, bitIndex2)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20940, 20914])).
% 40.16/26.61 tff(20942,plain,
% 40.16/26.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20943,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20944,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB165, bitIndex2)) | v88(constB165, bitIndex2)),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20943, 20942])).
% 40.16/26.61 tff(20945,plain,
% 40.16/26.61 (v88(constB165, bitIndex2)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20944, 10566, 20941])).
% 40.16/26.61 tff(20946,plain,
% 40.16/26.61 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v139(constB165)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v139(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20947,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v139(constB165)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20948,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v139(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20947, 20946])).
% 40.16/26.61 tff(20949,plain,
% 40.16/26.61 (~v139(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20948, 10904, 20945])).
% 40.16/26.61 tff(20950,plain,
% 40.16/26.61 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v140(constB165)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v140(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20951,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v140(constB165)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20952,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v140(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20951, 20950])).
% 40.16/26.61 tff(20953,plain,
% 40.16/26.61 (~v140(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20952, 10577, 20945])).
% 40.16/26.61 tff(20954,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB165) | v140(constB165) | (~v170(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB165) | v140(constB165) | (~v170(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20955,plain,
% 40.16/26.61 ((v140(constB165) | v139(constB165) | (~v170(constB165))) <=> (v139(constB165) | v140(constB165) | (~v170(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20956,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v170(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB165) | v140(constB165) | (~v170(constB165))))),
% 40.16/26.61 inference(monotonicity,[status(thm)],[20955])).
% 40.16/26.61 tff(20957,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v170(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB165) | v140(constB165) | (~v170(constB165)))),
% 40.16/26.61 inference(transitivity,[status(thm)],[20956, 20954])).
% 40.16/26.61 tff(20958,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v170(constB165)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20959,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB165) | v140(constB165) | (~v170(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20958, 20957])).
% 40.16/26.61 tff(20960,plain,
% 40.16/26.61 (~v170(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20959, 10647, 20953, 20949])).
% 40.16/26.61 tff(20961,plain,
% 40.16/26.61 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v141(constB165)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v141(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20962,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v141(constB165)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20963,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v141(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20962, 20961])).
% 40.16/26.61 tff(20964,plain,
% 40.16/26.61 (~v141(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20963, 10658, 20945])).
% 40.16/26.61 tff(20965,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB165) | v170(constB165) | (~v167(constB165)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB165) | v170(constB165) | (~v167(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20966,plain,
% 40.16/26.61 ((v141(constB165) | (~v167(constB165)) | v170(constB165)) <=> (v141(constB165) | v170(constB165) | (~v167(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20967,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB165) | (~v167(constB165)) | v170(constB165))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB165) | v170(constB165) | (~v167(constB165))))),
% 40.16/26.61 inference(monotonicity,[status(thm)],[20966])).
% 40.16/26.61 tff(20968,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB165) | (~v167(constB165)) | v170(constB165))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB165) | v170(constB165) | (~v167(constB165)))),
% 40.16/26.61 inference(transitivity,[status(thm)],[20967, 20965])).
% 40.16/26.61 tff(20969,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB165) | (~v167(constB165)) | v170(constB165))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20970,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB165) | v170(constB165) | (~v167(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20969, 20968])).
% 40.16/26.61 tff(20971,plain,
% 40.16/26.61 (v170(constB165) | (~v167(constB165))),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20970, 10672, 20964])).
% 40.16/26.61 tff(20972,plain,
% 40.16/26.61 (~v167(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20971, 20960])).
% 40.16/26.61 tff(20973,plain,
% 40.16/26.61 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB163)) | (~v130(constB163, bitIndex1)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20974,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex1)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20975,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB163)) | (~v130(constB163, bitIndex1))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20974, 20973])).
% 40.16/26.61 tff(20976,plain,
% 40.16/26.61 (~v130(constB163, bitIndex1)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20975, 2137, 20826])).
% 40.16/26.61 tff(20977,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20978,plain,
% 40.16/26.61 ((v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1))) <=> ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20979,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1)))),
% 40.16/26.61 inference(monotonicity,[status(thm)],[20978])).
% 40.16/26.61 tff(20980,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 40.16/26.61 inference(transitivity,[status(thm)],[20979, 20977])).
% 40.16/26.61 tff(20981,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20982,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1)),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20981, 20980])).
% 40.16/26.61 tff(20983,plain,
% 40.16/26.61 ((~v127(constB163, bitIndex1)) | v130(constB163, bitIndex1)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20982, 527, 20846])).
% 40.16/26.61 tff(20984,plain,
% 40.16/26.61 (~v127(constB163, bitIndex1)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20983, 20976])).
% 40.16/26.61 tff(20985,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20986,plain,
% 40.16/26.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20987,plain,
% 40.16/26.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20986, 20985])).
% 40.16/26.61 tff(20988,plain,
% 40.16/26.61 (v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1))),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20987, 545, 20858])).
% 40.16/26.61 tff(20989,plain,
% 40.16/26.61 (~v129(constB164, bitIndex1)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20988, 20984])).
% 40.16/26.61 tff(20990,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20991,plain,
% 40.16/26.61 (((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1)) <=> ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20992,plain,
% 40.16/26.61 (((~![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))))),
% 40.16/26.61 inference(monotonicity,[status(thm)],[20991])).
% 40.16/26.61 tff(20993,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(transitivity,[status(thm)],[20992, 20990])).
% 40.16/26.61 tff(20994,plain,
% 40.16/26.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(20995,plain,
% 40.16/26.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[20994, 20993])).
% 40.16/26.61 tff(20996,plain,
% 40.16/26.61 ((~v90(constB164, bitIndex1)) | (~v100(constB164))),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20995, 560, 20989])).
% 40.16/26.61 tff(20997,plain,
% 40.16/26.61 (~v90(constB164, bitIndex1)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[20996, 20892])).
% 40.16/26.61 tff(20998,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(20999,plain,
% 40.16/26.61 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1))) <=> (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(21000,plain,
% 40.16/26.61 (((~![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))))),
% 40.16/26.61 inference(monotonicity,[status(thm)],[20999])).
% 40.16/26.61 tff(21001,plain,
% 40.16/26.61 (((~![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)))),
% 40.16/26.61 inference(transitivity,[status(thm)],[21000, 20998])).
% 40.16/26.61 tff(21002,plain,
% 40.16/26.61 ((~![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)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(21003,plain,
% 40.16/26.61 ((~![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))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[21002, 21001])).
% 40.16/26.61 tff(21004,plain,
% 40.16/26.61 (v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1))),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[21003, 186, 20920])).
% 40.16/26.61 tff(21005,plain,
% 40.16/26.61 (v90(constB164, bitIndex1) | (~v90(constB165, bitIndex1))),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[21004, 20932])).
% 40.16/26.61 tff(21006,plain,
% 40.16/26.61 (~v90(constB165, bitIndex1)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[21005, 20997])).
% 40.16/26.61 tff(21007,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB165, bitIndex1) | (~v88(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB165, bitIndex1) | (~v88(constB165, bitIndex1)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(21008,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB165, bitIndex1) | (~v88(constB165, bitIndex1)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(21009,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB165, bitIndex1) | (~v88(constB165, bitIndex1))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[21008, 21007])).
% 40.16/26.61 tff(21010,plain,
% 40.16/26.61 (~v88(constB165, bitIndex1)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[21009, 10784, 21006])).
% 40.16/26.61 tff(21011,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB165, bitIndex1) | (~v144(constB165)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB165, bitIndex1) | (~v144(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(21012,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB165, bitIndex1) | (~v144(constB165)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(21013,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB165, bitIndex1) | (~v144(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[21012, 21011])).
% 40.16/26.61 tff(21014,plain,
% 40.16/26.61 (~v144(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[21013, 10868, 21010])).
% 40.16/26.61 tff(21015,plain,
% 40.16/26.61 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v143(constB165)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v143(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(21016,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB165, bitIndex2)) | (~v143(constB165)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(21017,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB165, bitIndex2)) | (~v143(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[21016, 21015])).
% 40.16/26.61 tff(21018,plain,
% 40.16/26.61 (~v143(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[21017, 10885, 20945])).
% 40.16/26.61 tff(21019,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB165) | v144(constB165) | (~v142(constB165)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB165) | v144(constB165) | (~v142(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(21020,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB165) | v144(constB165) | (~v142(constB165)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(21021,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB165) | v144(constB165) | (~v142(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[21020, 21019])).
% 40.16/26.61 tff(21022,plain,
% 40.16/26.61 (~v142(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[21021, 10711, 21018, 21014])).
% 40.16/26.61 tff(21023,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB165) | v167(constB165) | (~v166(constB165)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB165) | v167(constB165) | (~v166(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(21024,plain,
% 40.16/26.61 ((v142(constB165) | (~v166(constB165)) | v167(constB165)) <=> (v142(constB165) | v167(constB165) | (~v166(constB165)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(21025,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB165) | (~v166(constB165)) | v167(constB165))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB165) | v167(constB165) | (~v166(constB165))))),
% 40.16/26.61 inference(monotonicity,[status(thm)],[21024])).
% 40.16/26.61 tff(21026,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB165) | (~v166(constB165)) | v167(constB165))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB165) | v167(constB165) | (~v166(constB165)))),
% 40.16/26.61 inference(transitivity,[status(thm)],[21025, 21023])).
% 40.16/26.61 tff(21027,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB165) | (~v166(constB165)) | v167(constB165))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(21028,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB165) | v167(constB165) | (~v166(constB165))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[21027, 21026])).
% 40.16/26.61 tff(21029,plain,
% 40.16/26.61 (~v166(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[21028, 10725, 21022, 20972])).
% 40.16/26.61 tff(21030,plain,
% 40.16/26.61 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB165) | v166(constB165))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB165) | v166(constB165))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(21031,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB165) | v166(constB165))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(21032,plain,
% 40.16/26.61 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB165) | v166(constB165)),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[21031, 21030])).
% 40.16/26.61 tff(21033,plain,
% 40.16/26.61 (v148(constB165)),
% 40.16/26.61 inference(unit_resolution,[status(thm)],[21032, 10739, 21029])).
% 40.16/26.61 tff(21034,plain,
% 40.16/26.61 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB163)) | (~v130(constB163, bitIndex0)))),
% 40.16/26.61 inference(rewrite,[status(thm)],[])).
% 40.16/26.61 tff(21035,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex0)))),
% 40.16/26.61 inference(quant_inst,[status(thm)],[])).
% 40.16/26.61 tff(21036,plain,
% 40.16/26.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB163)) | (~v130(constB163, bitIndex0))),
% 40.16/26.61 inference(modus_ponens,[status(thm)],[21035, 21034])).
% 40.16/26.61 tff(21037,plain,
% 40.16/26.61 (~v130(constB163, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21036, 1486, 20826])).
% 40.16/26.62 tff(21038,plain,
% 40.16/26.62 (((~![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))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21039,plain,
% 40.16/26.62 ((v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0))) <=> ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21040,plain,
% 40.16/26.62 (((~![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)))),
% 40.16/26.62 inference(monotonicity,[status(thm)],[21039])).
% 40.16/26.62 tff(21041,plain,
% 40.16/26.62 (((~![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))),
% 40.16/26.62 inference(transitivity,[status(thm)],[21040, 21038])).
% 40.16/26.62 tff(21042,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21043,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21042, 21041])).
% 40.16/26.62 tff(21044,plain,
% 40.16/26.62 ((~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21043, 944, 20846])).
% 40.16/26.62 tff(21045,plain,
% 40.16/26.62 (~v127(constB163, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21044, 21037])).
% 40.16/26.62 tff(21046,plain,
% 40.16/26.62 (((~![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)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21047,plain,
% 40.16/26.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21048,plain,
% 40.16/26.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21047, 21046])).
% 40.16/26.62 tff(21049,plain,
% 40.16/26.62 (v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21048, 962, 20858])).
% 40.16/26.62 tff(21050,plain,
% 40.16/26.62 (~v129(constB164, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21049, 21045])).
% 40.16/26.62 tff(21051,plain,
% 40.16/26.62 (((~![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)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21052,plain,
% 40.16/26.62 (((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0)) <=> ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21053,plain,
% 40.16/26.62 (((~![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))))),
% 40.16/26.62 inference(monotonicity,[status(thm)],[21052])).
% 40.16/26.62 tff(21054,plain,
% 40.16/26.62 (((~![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)))),
% 40.16/26.62 inference(transitivity,[status(thm)],[21053, 21051])).
% 40.16/26.62 tff(21055,plain,
% 40.16/26.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21056,plain,
% 40.16/26.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21055, 21054])).
% 40.16/26.62 tff(21057,plain,
% 40.16/26.62 ((~v90(constB164, bitIndex0)) | (~v100(constB164))),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21056, 977, 21050])).
% 40.16/26.62 tff(21058,plain,
% 40.16/26.62 (~v90(constB164, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21057, 20892])).
% 40.16/26.62 tff(21059,plain,
% 40.16/26.62 (((~![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)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21060,plain,
% 40.16/26.62 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))) <=> (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21061,plain,
% 40.16/26.62 (((~![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))))),
% 40.16/26.62 inference(monotonicity,[status(thm)],[21060])).
% 40.16/26.62 tff(21062,plain,
% 40.16/26.62 (((~![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)))),
% 40.16/26.62 inference(transitivity,[status(thm)],[21061, 21059])).
% 40.16/26.62 tff(21063,plain,
% 40.16/26.62 ((~![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)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21064,plain,
% 40.16/26.62 ((~![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))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21063, 21062])).
% 40.16/26.62 tff(21065,plain,
% 40.16/26.62 (v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21064, 207, 20920])).
% 40.16/26.62 tff(21066,plain,
% 40.16/26.62 (v90(constB164, bitIndex0) | (~v90(constB165, bitIndex0))),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21065, 20932])).
% 40.16/26.62 tff(21067,plain,
% 40.16/26.62 (~v90(constB165, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21066, 21058])).
% 40.16/26.62 tff(21068,plain,
% 40.16/26.62 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21069,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21070,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB165, bitIndex0) | (~v88(constB165, bitIndex0))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21069, 21068])).
% 40.16/26.62 tff(21071,plain,
% 40.16/26.62 (~v88(constB165, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21070, 14645, 21067])).
% 40.16/26.62 tff(21072,plain,
% 40.16/26.62 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v146(constB165))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v146(constB165))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21073,plain,
% 40.16/26.62 (((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0) | v146(constB165)) <=> (v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v146(constB165))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21074,plain,
% 40.16/26.62 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0) | v146(constB165))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v146(constB165)))),
% 40.16/26.62 inference(monotonicity,[status(thm)],[21073])).
% 40.16/26.62 tff(21075,plain,
% 40.16/26.62 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0) | v146(constB165))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v146(constB165))),
% 40.16/26.62 inference(transitivity,[status(thm)],[21074, 21072])).
% 40.16/26.62 tff(21076,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0) | v146(constB165))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21077,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v146(constB165)),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21076, 21075])).
% 40.16/26.62 tff(21078,plain,
% 40.16/26.62 (v146(constB165)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21077, 14659, 20945, 21071, 21010])).
% 40.16/26.62 tff(21079,plain,
% 40.16/26.62 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB165) | (~v146(constB165)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB165) | (~v146(constB165)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21080,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB165) | (~v146(constB165)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21081,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB165) | (~v146(constB165))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21080, 21079])).
% 40.16/26.62 tff(21082,plain,
% 40.16/26.62 (v145(constB165)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21081, 14673, 21078])).
% 40.16/26.62 tff(21083,plain,
% 40.16/26.62 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB165) | (~v145(constB165)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB165) | (~v145(constB165)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21084,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB165) | (~v145(constB165)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21085,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB165) | (~v145(constB165))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21084, 21083])).
% 40.16/26.62 tff(21086,plain,
% 40.16/26.62 (v165(constB165)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21085, 10823, 21082])).
% 40.16/26.62 tff(21087,plain,
% 40.16/26.62 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB165) | (~v165(constB165)) | (~v148(constB165)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB165) | (~v165(constB165)) | (~v148(constB165)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21088,plain,
% 40.16/26.62 (((~v148(constB165)) | (~v165(constB165)) | v86(constB165)) <=> (v86(constB165) | (~v165(constB165)) | (~v148(constB165)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21089,plain,
% 40.16/26.62 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB165)) | (~v165(constB165)) | v86(constB165))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB165) | (~v165(constB165)) | (~v148(constB165))))),
% 40.16/26.62 inference(monotonicity,[status(thm)],[21088])).
% 40.16/26.62 tff(21090,plain,
% 40.16/26.62 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB165)) | (~v165(constB165)) | v86(constB165))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB165) | (~v165(constB165)) | (~v148(constB165)))),
% 40.16/26.62 inference(transitivity,[status(thm)],[21089, 21087])).
% 40.16/26.62 tff(21091,plain,
% 40.16/26.62 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB165)) | (~v165(constB165)) | v86(constB165))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21092,plain,
% 40.16/26.62 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB165) | (~v165(constB165)) | (~v148(constB165))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21091, 21090])).
% 40.16/26.62 tff(21093,plain,
% 40.16/26.62 (v86(constB165) | (~v148(constB165))),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21092, 10837, 21086])).
% 40.16/26.62 tff(21094,plain,
% 40.16/26.62 (v86(constB165)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21093, 21033])).
% 40.16/26.62 tff(21095,plain,
% 40.16/26.62 ($false),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21094, 15297])).
% 40.16/26.62 tff(21096,plain,((~(constB165 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.62 tff(21097,plain,
% 40.16/26.62 (~(constB165 = sK0_VarCurr)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21096, 72])).
% 40.16/26.62 tff(21098,assumption,(constB147 = sK0_VarCurr), introduced(assumption)).
% 40.16/26.62 tff(21099,plain,
% 40.16/26.62 (v180(constB147) <=> v180(sK0_VarCurr)),
% 40.16/26.62 inference(monotonicity,[status(thm)],[21098])).
% 40.16/26.62 tff(21100,plain,
% 40.16/26.62 (v180(sK0_VarCurr) <=> v180(constB147)),
% 40.16/26.62 inference(symmetry,[status(thm)],[21099])).
% 40.16/26.62 tff(21101,plain,
% 40.16/26.62 (v180(constB147)),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[11002, 21100])).
% 40.16/26.62 tff(21102,plain,
% 40.16/26.62 (~v130(constB143, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[19010, 1519, 18852])).
% 40.16/26.62 tff(21103,plain,
% 40.16/26.62 (~v127(constB143, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[19018, 21102])).
% 40.16/26.62 tff(21104,plain,
% 40.16/26.62 (~v129(constB144, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[19023, 21103])).
% 40.16/26.62 tff(21105,plain,
% 40.16/26.62 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[19030, 977, 21104])).
% 40.16/26.62 tff(21106,plain,
% 40.16/26.62 (~v90(constB144, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21105, 18910])).
% 40.16/26.62 tff(21107,plain,
% 40.16/26.62 (~v90(constB145, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[19040, 21106])).
% 40.16/26.62 tff(21108,plain,
% 40.16/26.62 (((~![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)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21109,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21110,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21109, 21108])).
% 40.16/26.62 tff(21111,plain,
% 40.16/26.62 (~v88(constB145, bitIndex0)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21110, 14645, 21107])).
% 40.16/26.62 tff(21112,plain,
% 40.16/26.62 (v130(constB143, bitIndex2)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[18973, 2303, 18852])).
% 40.16/26.62 tff(21113,plain,
% 40.16/26.62 (v127(constB143, bitIndex2)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[18978, 21112])).
% 40.16/26.62 tff(21114,plain,
% 40.16/26.62 (v129(constB144, bitIndex2)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[18983, 21113])).
% 40.16/26.62 tff(21115,plain,
% 40.16/26.62 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[18990, 2100, 21114])).
% 40.16/26.62 tff(21116,plain,
% 40.16/26.62 (v90(constB144, bitIndex2)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21115, 18910])).
% 40.16/26.62 tff(21117,plain,
% 40.16/26.62 (v90(constB145, bitIndex2)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[19000, 21116])).
% 40.16/26.62 tff(21118,plain,
% 40.16/26.62 (((~![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))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21119,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21120,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2)),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21119, 21118])).
% 40.16/26.62 tff(21121,plain,
% 40.16/26.62 (v88(constB145, bitIndex2)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21120, 10566, 21117])).
% 40.16/26.62 tff(21122,plain,
% 40.16/26.62 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 40.16/26.62 inference(bind,[status(th)],[])).
% 40.16/26.62 tff(21123,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 40.16/26.62 inference(quant_intro,[status(thm)],[21122])).
% 40.16/26.62 tff(21124,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21125,plain,
% 40.16/26.62 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 40.16/26.62 inference(bind,[status(th)],[])).
% 40.16/26.62 tff(21126,plain,
% 40.16/26.62 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 40.16/26.62 inference(quant_intro,[status(thm)],[21125])).
% 40.16/26.62 tff(21127,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 40.16/26.62 tff(21128,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21127, 21126])).
% 40.16/26.62 tff(21129,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21128, 21124])).
% 40.16/26.62 tff(21130,plain,(
% 40.16/26.62 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 40.16/26.62 inference(skolemize,[status(sab)],[21129])).
% 40.16/26.62 tff(21131,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21130, 21123])).
% 40.16/26.62 tff(21132,plain,
% 40.16/26.62 (((~![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))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21133,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21134,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1)),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21133, 21132])).
% 40.16/26.62 tff(21135,plain,
% 40.16/26.62 (v88(constB145, bitIndex1)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21134, 21131, 18959])).
% 40.16/26.62 tff(21136,plain,
% 40.16/26.62 (^[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)))),
% 40.16/26.62 inference(bind,[status(th)],[])).
% 40.16/26.62 tff(21137,plain,
% 40.16/26.62 (![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))),
% 40.16/26.62 inference(quant_intro,[status(thm)],[21136])).
% 40.16/26.62 tff(21138,plain,
% 40.16/26.62 (![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))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21139,plain,
% 40.16/26.62 (^[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))))),
% 40.16/26.62 inference(bind,[status(th)],[])).
% 40.16/26.62 tff(21140,plain,
% 40.16/26.62 (![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))),
% 40.16/26.62 inference(quant_intro,[status(thm)],[21139])).
% 40.16/26.62 tff(21141,axiom,(![VarCurr: $i] : (((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 40.16/26.62 tff(21142,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21141, 21140])).
% 40.16/26.62 tff(21143,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21142, 21138])).
% 40.16/26.62 tff(21144,plain,(
% 40.16/26.62 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 40.16/26.62 inference(skolemize,[status(sab)],[21143])).
% 40.16/26.62 tff(21145,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21144, 21137])).
% 40.16/26.62 tff(21146,plain,
% 40.16/26.62 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | v144(constB145) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB145, bitIndex2)) | v144(constB145) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21147,plain,
% 40.16/26.62 (((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145)) <=> ((~v88(constB145, bitIndex2)) | v144(constB145) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21148,plain,
% 40.16/26.62 (((~![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, bitIndex1)) | v88(constB145, bitIndex0)))),
% 40.16/26.62 inference(monotonicity,[status(thm)],[21147])).
% 40.16/26.62 tff(21149,plain,
% 40.16/26.62 (((~![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, bitIndex1)) | v88(constB145, bitIndex0))),
% 40.16/26.62 inference(transitivity,[status(thm)],[21148, 21146])).
% 40.16/26.62 tff(21150,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21151,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB145, bitIndex2)) | v144(constB145) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21150, 21149])).
% 40.16/26.62 tff(21152,plain,
% 40.16/26.62 (v144(constB145)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21151, 21145, 21135, 21121, 21111])).
% 40.16/26.62 tff(21153,plain,
% 40.16/26.62 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v144(VarCurr))) <=> (v142(VarCurr) | (~v144(VarCurr))))),
% 40.16/26.62 inference(bind,[status(th)],[])).
% 40.16/26.62 tff(21154,plain,
% 40.16/26.62 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 40.16/26.62 inference(quant_intro,[status(thm)],[21153])).
% 40.16/26.62 tff(21155,plain,
% 40.16/26.62 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21156,axiom,(![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 40.16/26.62 tff(21157,plain,
% 40.16/26.62 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21156, 21155])).
% 40.16/26.62 tff(21158,plain,(
% 40.16/26.62 ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 40.16/26.62 inference(skolemize,[status(sab)],[21157])).
% 40.16/26.62 tff(21159,plain,
% 40.16/26.62 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21158, 21154])).
% 40.16/26.62 tff(21160,plain,
% 40.16/26.62 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB145) | (~v144(constB145)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB145) | (~v144(constB145)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21161,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB145) | (~v144(constB145)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21162,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB145) | (~v144(constB145))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21161, 21160])).
% 40.16/26.62 tff(21163,plain,
% 40.16/26.62 (v142(constB145)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21162, 21159, 21152])).
% 40.16/26.62 tff(21164,plain,
% 40.16/26.62 (^[VarCurr: $i] : refl((v166(VarCurr) | (~v142(VarCurr))) <=> (v166(VarCurr) | (~v142(VarCurr))))),
% 40.16/26.62 inference(bind,[status(th)],[])).
% 40.16/26.62 tff(21165,plain,
% 40.16/26.62 (![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))),
% 40.16/26.62 inference(quant_intro,[status(thm)],[21164])).
% 40.16/26.62 tff(21166,plain,
% 40.16/26.62 (![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21167,axiom,(![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_2')).
% 40.16/26.62 tff(21168,plain,
% 40.16/26.62 (![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21167, 21166])).
% 40.16/26.62 tff(21169,plain,(
% 40.16/26.62 ![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))),
% 40.16/26.62 inference(skolemize,[status(sab)],[21168])).
% 40.16/26.62 tff(21170,plain,
% 40.16/26.62 (![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21169, 21165])).
% 40.16/26.62 tff(21171,plain,
% 40.16/26.62 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB145) | (~v142(constB145)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21172,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB145) | (~v142(constB145)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21173,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB145) | (~v142(constB145))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21172, 21171])).
% 40.16/26.62 tff(21174,plain,
% 40.16/26.62 (v166(constB145)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21173, 21170, 21163])).
% 40.16/26.62 tff(21175,plain,
% 40.16/26.62 (^[VarCurr: $i] : refl((v165(VarCurr) | (~v166(VarCurr))) <=> (v165(VarCurr) | (~v166(VarCurr))))),
% 40.16/26.62 inference(bind,[status(th)],[])).
% 40.16/26.62 tff(21176,plain,
% 40.16/26.62 (![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))),
% 40.16/26.62 inference(quant_intro,[status(thm)],[21175])).
% 40.16/26.62 tff(21177,plain,
% 40.16/26.62 (![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21178,axiom,(![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_40_1_1_1')).
% 40.16/26.62 tff(21179,plain,
% 40.16/26.62 (![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21178, 21177])).
% 40.16/26.62 tff(21180,plain,(
% 40.16/26.62 ![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))),
% 40.16/26.62 inference(skolemize,[status(sab)],[21179])).
% 40.16/26.62 tff(21181,plain,
% 40.16/26.62 (![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21180, 21176])).
% 40.16/26.62 tff(21182,plain,
% 40.16/26.62 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB145) | (~v166(constB145)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB145) | (~v166(constB145)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21183,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB145) | (~v166(constB145)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21184,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB145) | (~v166(constB145))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21183, 21182])).
% 40.16/26.62 tff(21185,plain,
% 40.16/26.62 (v165(constB145)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21184, 21181, 21174])).
% 40.16/26.62 tff(21186,plain,
% 40.16/26.62 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))))),
% 40.16/26.62 inference(bind,[status(th)],[])).
% 40.16/26.62 tff(21187,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 40.16/26.62 inference(quant_intro,[status(thm)],[21186])).
% 40.16/26.62 tff(21188,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21189,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 40.16/26.62 tff(21190,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21189, 21188])).
% 40.16/26.62 tff(21191,plain,(
% 40.16/26.62 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 40.16/26.62 inference(skolemize,[status(sab)],[21190])).
% 40.16/26.62 tff(21192,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21191, 21187])).
% 40.16/26.62 tff(21193,plain,
% 40.16/26.62 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v139(constB145)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB145, bitIndex1)) | (~v139(constB145)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21194,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v139(constB145)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21195,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB145, bitIndex1)) | (~v139(constB145))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 40.16/26.62 tff(21196,plain,
% 40.16/26.62 (~v139(constB145)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21195, 21192, 21135])).
% 40.16/26.62 tff(21197,plain,
% 40.16/26.62 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))))),
% 40.16/26.62 inference(bind,[status(th)],[])).
% 40.16/26.62 tff(21198,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 40.16/26.62 inference(quant_intro,[status(thm)],[21197])).
% 40.16/26.62 tff(21199,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21200,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 40.16/26.62 tff(21201,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21200, 21199])).
% 40.16/26.62 tff(21202,plain,(
% 40.16/26.62 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 40.16/26.62 inference(skolemize,[status(sab)],[21201])).
% 40.16/26.62 tff(21203,plain,
% 40.16/26.62 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21202, 21198])).
% 40.16/26.62 tff(21204,plain,
% 40.16/26.62 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v140(constB145)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB145, bitIndex1)) | (~v140(constB145)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21205,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v140(constB145)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21206,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB145, bitIndex1)) | (~v140(constB145))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21205, 21204])).
% 40.16/26.62 tff(21207,plain,
% 40.16/26.62 (~v140(constB145)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21206, 21203, 21135])).
% 40.16/26.62 tff(21208,plain,
% 40.16/26.62 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v170(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB145) | v139(constB145) | (~v170(constB145)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21209,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v170(constB145)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21210,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB145) | v139(constB145) | (~v170(constB145))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21209, 21208])).
% 40.16/26.62 tff(21211,plain,
% 40.16/26.62 (~v170(constB145)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21210, 10647, 21207, 21196])).
% 40.16/26.62 tff(21212,plain,
% 40.16/26.62 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB145, bitIndex2)) | (~v141(constB145)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB145, bitIndex2)) | (~v141(constB145)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21213,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB145, bitIndex2)) | (~v141(constB145)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21214,plain,
% 40.16/26.62 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB145, bitIndex2)) | (~v141(constB145))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21213, 21212])).
% 40.16/26.62 tff(21215,plain,
% 40.16/26.62 (~v141(constB145)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21214, 10658, 21121])).
% 40.16/26.62 tff(21216,plain,
% 40.16/26.62 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB145) | v170(constB145) | (~v169(constB145)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB145) | v170(constB145) | (~v169(constB145)))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21217,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB145) | v170(constB145) | (~v169(constB145)))),
% 40.16/26.62 inference(quant_inst,[status(thm)],[])).
% 40.16/26.62 tff(21218,plain,
% 40.16/26.62 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB145) | v170(constB145) | (~v169(constB145))),
% 40.16/26.62 inference(modus_ponens,[status(thm)],[21217, 21216])).
% 40.16/26.62 tff(21219,plain,
% 40.16/26.62 (~v169(constB145)),
% 40.16/26.62 inference(unit_resolution,[status(thm)],[21218, 11040, 21215, 21211])).
% 40.16/26.62 tff(21220,plain,
% 40.16/26.62 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB145)) | (~v165(constB145)) | v169(constB145))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB145)) | (~v165(constB145)) | v169(constB145))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21221,plain,
% 40.16/26.62 (((~v165(constB145)) | v169(constB145) | (~v162(constB145))) <=> ((~v162(constB145)) | (~v165(constB145)) | v169(constB145))),
% 40.16/26.62 inference(rewrite,[status(thm)],[])).
% 40.16/26.62 tff(21222,plain,
% 40.16/26.62 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB145)) | v169(constB145) | (~v162(constB145)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB145)) | (~v165(constB145)) | v169(constB145)))),
% 40.16/26.63 inference(monotonicity,[status(thm)],[21221])).
% 40.16/26.63 tff(21223,plain,
% 40.16/26.63 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB145)) | v169(constB145) | (~v162(constB145)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB145)) | (~v165(constB145)) | v169(constB145))),
% 40.16/26.63 inference(transitivity,[status(thm)],[21222, 21220])).
% 40.16/26.63 tff(21224,plain,
% 40.16/26.63 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB145)) | v169(constB145) | (~v162(constB145)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21225,plain,
% 40.16/26.63 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB145)) | (~v165(constB145)) | v169(constB145)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21224, 21223])).
% 40.16/26.63 tff(21226,plain,
% 40.16/26.63 ((~v162(constB145)) | (~v165(constB145))),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21225, 11073, 21219])).
% 40.16/26.63 tff(21227,plain,
% 40.16/26.63 (~v162(constB145)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21226, 21185])).
% 40.16/26.63 tff(21228,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB145) | (~v187(constB145)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB145) | (~v187(constB145)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21229,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB145) | (~v187(constB145)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21230,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB145) | (~v187(constB145))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21229, 21228])).
% 40.16/26.63 tff(21231,plain,
% 40.16/26.63 (~v187(constB145)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21230, 11087, 21227])).
% 40.16/26.63 tff(21232,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB145) | (~v185(constB145)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB145) | (~v185(constB145)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21233,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB145) | (~v185(constB145)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21234,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB145) | (~v185(constB145))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21233, 21232])).
% 40.16/26.63 tff(21235,plain,
% 40.16/26.63 (~v185(constB145)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21234, 11098, 21231])).
% 40.16/26.63 tff(21236,assumption,(v18(constB146)), introduced(assumption)).
% 40.16/26.63 tff(21237,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB146))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21238,plain,
% 40.16/26.63 ($false),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21237, 11110, 21236])).
% 40.16/26.63 tff(21239,plain,(~v18(constB146)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.63 tff(21240,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21241,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21242,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21241, 21240])).
% 40.16/26.63 tff(21243,plain,
% 40.16/26.63 (v22(constB146)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21242, 11120, 19085])).
% 40.16/26.63 tff(21244,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB146)) | (~v22(constB146)) | v18(constB146))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB146)) | (~v22(constB146)) | v18(constB146))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21245,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB146)) | (~v22(constB146)) | v18(constB146))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21246,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB146)) | (~v22(constB146)) | v18(constB146)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21245, 21244])).
% 40.16/26.63 tff(21247,plain,
% 40.16/26.63 ((~v19(constB146)) | v18(constB146)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21246, 11134, 21243])).
% 40.16/26.63 tff(21248,plain,
% 40.16/26.63 (~v19(constB146)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21247, 21239])).
% 40.16/26.63 tff(21249,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21250,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21251,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21250, 21249])).
% 40.16/26.63 tff(21252,plain,
% 40.16/26.63 (v13(constB146)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21251, 11149, 21248])).
% 40.16/26.63 tff(21253,plain,
% 40.16/26.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21254,plain,
% 40.16/26.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21255,plain,
% 40.16/26.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21254, 21253])).
% 40.16/26.63 tff(21256,plain,
% 40.16/26.63 ((~v13(constB146)) | v9(constB145)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21255, 11163, 19065])).
% 40.16/26.63 tff(21257,plain,
% 40.16/26.63 (v9(constB145)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21256, 21252])).
% 40.16/26.63 tff(21258,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v184(constB145))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB145) | (~v9(constB145)) | v184(constB145))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21259,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v184(constB145))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21260,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB145) | (~v9(constB145)) | v184(constB145)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21259, 21258])).
% 40.16/26.63 tff(21261,plain,
% 40.16/26.63 ((~v9(constB145)) | v184(constB145)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21260, 11178, 18935])).
% 40.16/26.63 tff(21262,plain,
% 40.16/26.63 (v184(constB145)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21261, 21257])).
% 40.16/26.63 tff(21263,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB145) | (~v184(constB145)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB145) | (~v184(constB145)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21264,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB145) | (~v184(constB145)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21265,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB145) | (~v184(constB145))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21264, 21263])).
% 40.16/26.63 tff(21266,plain,
% 40.16/26.63 (v183(constB145)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21265, 11190, 21262])).
% 40.16/26.63 tff(21267,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB145)) | (~v183(constB145)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB145)) | (~v183(constB145)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21268,plain,
% 40.16/26.63 (((~v183(constB145)) | (~v181(constB145))) <=> ((~v181(constB145)) | (~v183(constB145)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21269,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB145)) | (~v181(constB145)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB145)) | (~v183(constB145))))),
% 40.16/26.63 inference(monotonicity,[status(thm)],[21268])).
% 40.16/26.63 tff(21270,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB145)) | (~v181(constB145)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB145)) | (~v183(constB145)))),
% 40.16/26.63 inference(transitivity,[status(thm)],[21269, 21267])).
% 40.16/26.63 tff(21271,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB145)) | (~v181(constB145)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21272,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB145)) | (~v183(constB145))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21271, 21270])).
% 40.16/26.63 tff(21273,plain,
% 40.16/26.63 (~v181(constB145)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21272, 11201, 21266])).
% 40.16/26.63 tff(21274,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB145) | v185(constB145) | (~v178(constB145)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB145) | v185(constB145) | (~v178(constB145)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21275,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB145) | v185(constB145) | (~v178(constB145)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21276,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB145) | v185(constB145) | (~v178(constB145))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21275, 21274])).
% 40.16/26.63 tff(21277,plain,
% 40.16/26.63 (v185(constB145) | (~v178(constB145))),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21276, 11215, 21273])).
% 40.16/26.63 tff(21278,plain,
% 40.16/26.63 (~v178(constB145)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21277, 21235])).
% 40.16/26.63 tff(21279,plain,
% 40.16/26.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21280,plain,
% 40.16/26.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21281,plain,
% 40.16/26.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21280, 21279])).
% 40.16/26.63 tff(21282,plain,
% 40.16/26.63 (v178(constB145) | (~v180(constB146))),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21281, 11230, 19065])).
% 40.16/26.63 tff(21283,plain,
% 40.16/26.63 (~v180(constB146)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21282, 21278])).
% 40.16/26.63 tff(21284,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB146) | (~v181(constB146)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB146) | (~v181(constB146)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21285,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB146) | (~v181(constB146)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21286,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB146) | (~v181(constB146))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21285, 21284])).
% 40.16/26.63 tff(21287,plain,
% 40.16/26.63 (~v181(constB146)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21286, 11242, 21283])).
% 40.16/26.63 tff(21288,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB146)) | (~v184(constB146)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB146)) | (~v184(constB146)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21289,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB146)) | (~v184(constB146)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21290,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB146)) | (~v184(constB146))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21289, 21288])).
% 40.16/26.63 tff(21291,plain,
% 40.16/26.63 (~v184(constB146)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21290, 11253, 19085])).
% 40.16/26.63 tff(21292,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB146) | (~v187(constB146)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB146) | (~v187(constB146)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21293,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB146) | (~v187(constB146)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21294,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB146) | (~v187(constB146))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21293, 21292])).
% 40.16/26.63 tff(21295,plain,
% 40.16/26.63 (~v187(constB146)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21294, 11264, 21291])).
% 40.16/26.63 tff(21296,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB146) | (~v185(constB146)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB146) | (~v185(constB146)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21297,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB146) | (~v185(constB146)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21298,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB146) | (~v185(constB146))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21297, 21296])).
% 40.16/26.63 tff(21299,plain,
% 40.16/26.63 (~v185(constB146)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21298, 11098, 21295])).
% 40.16/26.63 tff(21300,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB146) | v185(constB146) | (~v178(constB146)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB146) | v185(constB146) | (~v178(constB146)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21301,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB146) | v185(constB146) | (~v178(constB146)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21302,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB146) | v185(constB146) | (~v178(constB146))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21301, 21300])).
% 40.16/26.63 tff(21303,plain,
% 40.16/26.63 (v181(constB146) | (~v178(constB146))),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21302, 11215, 21299])).
% 40.16/26.63 tff(21304,plain,
% 40.16/26.63 (~v178(constB146)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21303, 21287])).
% 40.16/26.63 tff(21305,plain,
% 40.16/26.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21306,plain,
% 40.16/26.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21307,plain,
% 40.16/26.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21306, 21305])).
% 40.16/26.63 tff(21308,plain,
% 40.16/26.63 (v178(constB146) | (~v180(constB147))),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21307, 11230, 19155])).
% 40.16/26.63 tff(21309,plain,
% 40.16/26.63 (~v180(constB147)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21308, 21304])).
% 40.16/26.63 tff(21310,plain,
% 40.16/26.63 ($false),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21309, 21101])).
% 40.16/26.63 tff(21311,plain,((~(constB147 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.16/26.63 tff(21312,plain,
% 40.16/26.63 (~(constB147 = sK0_VarCurr)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21311, 10998])).
% 40.16/26.63 tff(21313,plain,
% 40.16/26.63 (^[VarCurr: $i] : refl((v184(VarCurr) | (~v207(VarCurr))) <=> (v184(VarCurr) | (~v207(VarCurr))))),
% 40.16/26.63 inference(bind,[status(th)],[])).
% 40.16/26.63 tff(21314,plain,
% 40.16/26.63 (![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr)))),
% 40.16/26.63 inference(quant_intro,[status(thm)],[21313])).
% 40.16/26.63 tff(21315,plain,
% 40.16/26.63 (![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21316,axiom,(![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_1_1')).
% 40.16/26.63 tff(21317,plain,
% 40.16/26.63 (![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr)))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21316, 21315])).
% 40.16/26.63 tff(21318,plain,(
% 40.16/26.63 ![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr)))),
% 40.16/26.63 inference(skolemize,[status(sab)],[21317])).
% 40.16/26.63 tff(21319,plain,
% 40.16/26.63 (![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr)))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21318, 21314])).
% 40.16/26.63 tff(21320,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr)))) | (v184(sK0_VarCurr) | (~v207(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr)))) | v184(sK0_VarCurr) | (~v207(sK0_VarCurr)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21321,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr)))) | (v184(sK0_VarCurr) | (~v207(sK0_VarCurr)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21322,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v184(VarCurr) | (~v207(VarCurr)))) | v184(sK0_VarCurr) | (~v207(sK0_VarCurr))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21321, 21320])).
% 40.16/26.63 tff(21323,plain,
% 40.16/26.63 (v184(sK0_VarCurr)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21322, 21319, 58])).
% 40.16/26.63 tff(21324,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v184(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v184(sK0_VarCurr)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21325,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v184(sK0_VarCurr)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21326,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v184(sK0_VarCurr))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21325, 21324])).
% 40.16/26.63 tff(21327,plain,
% 40.16/26.63 (~v1(sK0_VarCurr)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21326, 11253, 21323])).
% 40.16/26.63 tff(21328,assumption,(constB16 = sK0_VarCurr), introduced(assumption)).
% 40.16/26.63 tff(21329,plain,
% 40.16/26.63 (v1(constB16) <=> v1(sK0_VarCurr)),
% 40.16/26.63 inference(monotonicity,[status(thm)],[21328])).
% 40.16/26.63 tff(21330,plain,
% 40.16/26.63 (v1(sK0_VarCurr) <=> v1(constB16)),
% 40.16/26.63 inference(symmetry,[status(thm)],[21329])).
% 40.16/26.63 tff(21331,plain,
% 40.16/26.63 ((~v1(sK0_VarCurr)) <=> (~v1(constB16))),
% 40.16/26.63 inference(monotonicity,[status(thm)],[21330])).
% 40.16/26.63 tff(21332,assumption,(~v1(sK0_VarCurr)), introduced(assumption)).
% 40.16/26.63 tff(21333,plain,
% 40.16/26.63 (~v1(constB16)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21332, 21331])).
% 40.16/26.63 tff(21334,plain,
% 40.16/26.63 ($false),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[2879, 21333])).
% 40.16/26.63 tff(21335,plain,((~(constB16 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.63 tff(21336,plain,
% 40.16/26.63 (~(constB16 = sK0_VarCurr)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21335, 21327])).
% 40.16/26.63 tff(21337,plain,
% 40.16/26.63 (((~![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))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21338,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex2)) | v88(constB131, bitIndex2))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21339,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB131, bitIndex2)) | v88(constB131, bitIndex2)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21338, 21337])).
% 40.16/26.63 tff(21340,plain,
% 40.16/26.63 (v88(constB131, bitIndex2)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21339, 10566, 17394])).
% 40.16/26.63 tff(21341,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB131, bitIndex2)) | (~v140(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB131, bitIndex2)) | (~v140(constB131)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21342,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB131, bitIndex2)) | (~v140(constB131)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21343,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB131, bitIndex2)) | (~v140(constB131))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21342, 21341])).
% 40.16/26.63 tff(21344,plain,
% 40.16/26.63 (~v140(constB131)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21343, 10577, 21340])).
% 40.16/26.63 tff(21345,plain,
% 40.16/26.63 (((~![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))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21346,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21347,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21346, 21345])).
% 40.16/26.63 tff(21348,plain,
% 40.16/26.63 (v88(constB131, bitIndex0)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21347, 10622, 17042])).
% 40.16/26.63 tff(21349,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v139(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB131, bitIndex0)) | (~v139(constB131)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21350,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v139(constB131)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21351,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB131, bitIndex0)) | (~v139(constB131))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21350, 21349])).
% 40.16/26.63 tff(21352,plain,
% 40.16/26.63 (~v139(constB131)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21351, 10633, 21348])).
% 40.16/26.63 tff(21353,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB131)) | v140(constB131) | v139(constB131))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB131)) | v140(constB131) | v139(constB131))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21354,plain,
% 40.16/26.63 ((v140(constB131) | v139(constB131) | (~v170(constB131))) <=> ((~v170(constB131)) | v140(constB131) | v139(constB131))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21355,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB131) | v139(constB131) | (~v170(constB131)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB131)) | v140(constB131) | v139(constB131)))),
% 40.16/26.63 inference(monotonicity,[status(thm)],[21354])).
% 40.16/26.63 tff(21356,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB131) | v139(constB131) | (~v170(constB131)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB131)) | v140(constB131) | v139(constB131))),
% 40.16/26.63 inference(transitivity,[status(thm)],[21355, 21353])).
% 40.16/26.63 tff(21357,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB131) | v139(constB131) | (~v170(constB131)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21358,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB131)) | v140(constB131) | v139(constB131)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21357, 21356])).
% 40.16/26.63 tff(21359,plain,
% 40.16/26.63 (~v170(constB131)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21358, 10647, 21352, 21344])).
% 40.16/26.63 tff(21360,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB131)) | (~v88(constB131, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB131)) | (~v88(constB131, bitIndex2)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21361,plain,
% 40.16/26.63 (((~v88(constB131, bitIndex2)) | (~v141(constB131))) <=> ((~v141(constB131)) | (~v88(constB131, bitIndex2)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21362,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB131, bitIndex2)) | (~v141(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB131)) | (~v88(constB131, bitIndex2))))),
% 40.16/26.63 inference(monotonicity,[status(thm)],[21361])).
% 40.16/26.63 tff(21363,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB131, bitIndex2)) | (~v141(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB131)) | (~v88(constB131, bitIndex2)))),
% 40.16/26.63 inference(transitivity,[status(thm)],[21362, 21360])).
% 40.16/26.63 tff(21364,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB131, bitIndex2)) | (~v141(constB131)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21365,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB131)) | (~v88(constB131, bitIndex2))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21364, 21363])).
% 40.16/26.63 tff(21366,plain,
% 40.16/26.63 (~v141(constB131)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21365, 10658, 21340])).
% 40.16/26.63 tff(21367,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | ((~v167(constB131)) | v170(constB131) | v141(constB131))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB131)) | v170(constB131) | v141(constB131))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21368,plain,
% 40.16/26.63 ((v141(constB131) | (~v167(constB131)) | v170(constB131)) <=> ((~v167(constB131)) | v170(constB131) | v141(constB131))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21369,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB131) | (~v167(constB131)) | v170(constB131))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | ((~v167(constB131)) | v170(constB131) | v141(constB131)))),
% 40.16/26.63 inference(monotonicity,[status(thm)],[21368])).
% 40.16/26.63 tff(21370,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB131) | (~v167(constB131)) | v170(constB131))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB131)) | v170(constB131) | v141(constB131))),
% 40.16/26.63 inference(transitivity,[status(thm)],[21369, 21367])).
% 40.16/26.63 tff(21371,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB131) | (~v167(constB131)) | v170(constB131))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21372,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB131)) | v170(constB131) | v141(constB131)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21371, 21370])).
% 40.16/26.63 tff(21373,plain,
% 40.16/26.63 (~v167(constB131)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21372, 10672, 21366, 21359])).
% 40.16/26.63 tff(21374,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB131)) | (~v88(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB131)) | (~v88(constB131, bitIndex0)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21375,plain,
% 40.16/26.63 (((~v88(constB131, bitIndex0)) | (~v144(constB131))) <=> ((~v144(constB131)) | (~v88(constB131, bitIndex0)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21376,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v144(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB131)) | (~v88(constB131, bitIndex0))))),
% 40.16/26.63 inference(monotonicity,[status(thm)],[21375])).
% 40.16/26.63 tff(21377,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v144(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB131)) | (~v88(constB131, bitIndex0)))),
% 40.16/26.63 inference(transitivity,[status(thm)],[21376, 21374])).
% 40.16/26.63 tff(21378,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v144(constB131)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21379,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB131)) | (~v88(constB131, bitIndex0))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21378, 21377])).
% 40.16/26.63 tff(21380,plain,
% 40.16/26.63 (~v144(constB131)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21379, 10697, 21348])).
% 40.16/26.63 tff(21381,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB131)) | (~v88(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB131)) | (~v88(constB131, bitIndex0)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21382,plain,
% 40.16/26.63 (((~v88(constB131, bitIndex0)) | (~v143(constB131))) <=> ((~v143(constB131)) | (~v88(constB131, bitIndex0)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21383,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v143(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB131)) | (~v88(constB131, bitIndex0))))),
% 40.16/26.63 inference(monotonicity,[status(thm)],[21382])).
% 40.16/26.63 tff(21384,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v143(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB131)) | (~v88(constB131, bitIndex0)))),
% 40.16/26.63 inference(transitivity,[status(thm)],[21383, 21381])).
% 40.16/26.63 tff(21385,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v143(constB131)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21386,plain,
% 40.16/26.63 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB131)) | (~v88(constB131, bitIndex0))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21385, 21384])).
% 40.16/26.63 tff(21387,plain,
% 40.16/26.63 (~v143(constB131)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21386, 10686, 21348])).
% 40.16/26.63 tff(21388,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB131) | v144(constB131) | (~v142(constB131)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB131) | v144(constB131) | (~v142(constB131)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21389,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB131) | v144(constB131) | (~v142(constB131)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21390,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB131) | v144(constB131) | (~v142(constB131))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21389, 21388])).
% 40.16/26.63 tff(21391,plain,
% 40.16/26.63 (~v142(constB131)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21390, 10711, 21387, 21380])).
% 40.16/26.63 tff(21392,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | ((~v166(constB131)) | v167(constB131) | v142(constB131))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB131)) | v167(constB131) | v142(constB131))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21393,plain,
% 40.16/26.63 ((v142(constB131) | (~v166(constB131)) | v167(constB131)) <=> ((~v166(constB131)) | v167(constB131) | v142(constB131))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21394,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB131) | (~v166(constB131)) | v167(constB131))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | ((~v166(constB131)) | v167(constB131) | v142(constB131)))),
% 40.16/26.63 inference(monotonicity,[status(thm)],[21393])).
% 40.16/26.63 tff(21395,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB131) | (~v166(constB131)) | v167(constB131))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB131)) | v167(constB131) | v142(constB131))),
% 40.16/26.63 inference(transitivity,[status(thm)],[21394, 21392])).
% 40.16/26.63 tff(21396,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB131) | (~v166(constB131)) | v167(constB131))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21397,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB131)) | v167(constB131) | v142(constB131)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21396, 21395])).
% 40.16/26.63 tff(21398,plain,
% 40.16/26.63 (~v166(constB131)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21397, 10725, 21391, 21373])).
% 40.16/26.63 tff(21399,plain,
% 40.16/26.63 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB131) | v166(constB131))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB131) | v166(constB131))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21400,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB131) | v166(constB131))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21401,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB131) | v166(constB131)),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21400, 21399])).
% 40.16/26.63 tff(21402,plain,
% 40.16/26.63 (v148(constB131)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21401, 10739, 21398])).
% 40.16/26.63 tff(21403,assumption,(v123(constB129)), introduced(assumption)).
% 40.16/26.63 tff(21404,plain,
% 40.16/26.63 (v115(constB129)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[16931, 1247, 21403])).
% 40.16/26.63 tff(21405,plain,
% 40.16/26.63 (v114(constB129)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[16935, 283, 21404])).
% 40.16/26.63 tff(21406,plain,
% 40.16/26.63 (v113(constB129)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[16939, 294, 21405])).
% 40.16/26.63 tff(21407,plain,
% 40.16/26.63 (v112(constB129)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[16951, 21406])).
% 40.16/26.63 tff(21408,plain,
% 40.16/26.63 (v108(constB129)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[16955, 320, 21407])).
% 40.16/26.63 tff(21409,plain,
% 40.16/26.63 (v110(constB130)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[16966, 21408])).
% 40.16/26.63 tff(21410,plain,
% 40.16/26.63 (v100(constB130)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[16992, 21409])).
% 40.16/26.63 tff(21411,plain,
% 40.16/26.63 (v130(constB129, bitIndex0)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[16996, 2258, 21403])).
% 40.16/26.63 tff(21412,plain,
% 40.16/26.63 (v127(constB129, bitIndex0)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17001, 21411])).
% 40.16/26.63 tff(21413,plain,
% 40.16/26.63 (v129(constB130, bitIndex0)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17006, 21412])).
% 40.16/26.63 tff(21414,plain,
% 40.16/26.63 (v90(constB130, bitIndex0) | (~v100(constB130))),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17013, 631, 21413])).
% 40.16/26.63 tff(21415,plain,
% 40.16/26.63 (v90(constB130, bitIndex0)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21414, 21410])).
% 40.16/26.63 tff(21416,plain,
% 40.16/26.63 (v90(constB131, bitIndex0)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17041, 21415])).
% 40.16/26.63 tff(21417,plain,
% 40.16/26.63 (v88(constB131, bitIndex0)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21347, 10622, 21416])).
% 40.16/26.63 tff(21418,plain,
% 40.16/26.63 (v130(constB129, bitIndex2)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17125, 2165, 21403])).
% 40.16/26.63 tff(21419,plain,
% 40.16/26.63 (v127(constB129, bitIndex2)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17130, 21418])).
% 40.16/26.63 tff(21420,plain,
% 40.16/26.63 (v129(constB130, bitIndex2)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17135, 21419])).
% 40.16/26.63 tff(21421,plain,
% 40.16/26.63 (v90(constB130, bitIndex2) | (~v100(constB130))),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17142, 2100, 21420])).
% 40.16/26.63 tff(21422,plain,
% 40.16/26.63 (v90(constB130, bitIndex2)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21421, 21410])).
% 40.16/26.63 tff(21423,plain,
% 40.16/26.63 (v90(constB131, bitIndex2)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17152, 21422])).
% 40.16/26.63 tff(21424,plain,
% 40.16/26.63 (v88(constB131, bitIndex2)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21339, 10566, 21423])).
% 40.16/26.63 tff(21425,plain,
% 40.16/26.63 (~v130(constB129, bitIndex1)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17074, 1579, 21403])).
% 40.16/26.63 tff(21426,plain,
% 40.16/26.63 (~v127(constB129, bitIndex1)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17082, 21425])).
% 40.16/26.63 tff(21427,plain,
% 40.16/26.63 (~v129(constB130, bitIndex1)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17087, 21426])).
% 40.16/26.63 tff(21428,plain,
% 40.16/26.63 ((~v90(constB130, bitIndex1)) | (~v100(constB130))),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17111, 560, 21427])).
% 40.16/26.63 tff(21429,plain,
% 40.16/26.63 (~v90(constB130, bitIndex1)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21428, 21410])).
% 40.16/26.63 tff(21430,plain,
% 40.16/26.63 (~v90(constB131, bitIndex1)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[17121, 21429])).
% 40.16/26.63 tff(21431,plain,
% 40.16/26.63 (((~![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)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21432,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB131, bitIndex1) | (~v88(constB131, bitIndex1)))),
% 40.16/26.63 inference(quant_inst,[status(thm)],[])).
% 40.16/26.63 tff(21433,plain,
% 40.16/26.63 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB131, bitIndex1) | (~v88(constB131, bitIndex1))),
% 40.16/26.63 inference(modus_ponens,[status(thm)],[21432, 21431])).
% 40.16/26.63 tff(21434,plain,
% 40.16/26.63 (~v88(constB131, bitIndex1)),
% 40.16/26.63 inference(unit_resolution,[status(thm)],[21433, 10784, 21430])).
% 40.16/26.63 tff(21435,assumption,(~v147(constB131)), introduced(assumption)).
% 40.16/26.63 tff(21436,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v147(constB131) | (~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v147(constB131) | (~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21437,plain,
% 40.16/26.63 (((~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)) | v147(constB131)) <=> (v147(constB131) | (~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)))),
% 40.16/26.63 inference(rewrite,[status(thm)],[])).
% 40.16/26.63 tff(21438,plain,
% 40.16/26.63 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)) | v147(constB131))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v147(constB131) | (~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0))))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21437])).
% 40.16/26.64 tff(21439,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)) | v147(constB131))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v147(constB131) | (~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21438, 21436])).
% 40.16/26.64 tff(21440,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)) | v147(constB131))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21441,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v147(constB131) | (~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21440, 21439])).
% 40.16/26.64 tff(21442,plain,
% 40.16/26.64 ((~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0))),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21441, 10798, 21435])).
% 40.16/26.64 tff(21443,plain,
% 40.16/26.64 ($false),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21442, 21434, 21424, 21417])).
% 40.16/26.64 tff(21444,plain,((~v123(constB129)) | v147(constB131)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.64 tff(21445,plain,
% 40.16/26.64 (v147(constB131)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21444, 16928])).
% 40.16/26.64 tff(21446,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB131) | (~v147(constB131)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB131) | (~v147(constB131)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21447,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB131) | (~v147(constB131)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21448,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB131) | (~v147(constB131))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21447, 21446])).
% 40.16/26.64 tff(21449,plain,
% 40.16/26.64 (v145(constB131)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21448, 10812, 21445])).
% 40.16/26.64 tff(21450,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB131) | (~v145(constB131)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB131) | (~v145(constB131)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21451,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB131) | (~v145(constB131)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21452,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB131) | (~v145(constB131))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21451, 21450])).
% 40.16/26.64 tff(21453,plain,
% 40.16/26.64 (v165(constB131)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21452, 10823, 21449])).
% 40.16/26.64 tff(21454,plain,
% 40.16/26.64 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB131) | (~v165(constB131)) | (~v148(constB131)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB131) | (~v165(constB131)) | (~v148(constB131)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21455,plain,
% 40.16/26.64 (((~v148(constB131)) | (~v165(constB131)) | v86(constB131)) <=> (v86(constB131) | (~v165(constB131)) | (~v148(constB131)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21456,plain,
% 40.16/26.64 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB131)) | (~v165(constB131)) | v86(constB131))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB131) | (~v165(constB131)) | (~v148(constB131))))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21455])).
% 40.16/26.64 tff(21457,plain,
% 40.16/26.64 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB131)) | (~v165(constB131)) | v86(constB131))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB131) | (~v165(constB131)) | (~v148(constB131)))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21456, 21454])).
% 40.16/26.64 tff(21458,plain,
% 40.16/26.64 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB131)) | (~v165(constB131)) | v86(constB131))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21459,plain,
% 40.16/26.64 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB131) | (~v165(constB131)) | (~v148(constB131))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21458, 21457])).
% 40.16/26.64 tff(21460,plain,
% 40.16/26.64 (v86(constB131) | (~v148(constB131))),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21459, 10837, 21453])).
% 40.16/26.64 tff(21461,plain,
% 40.16/26.64 (v86(constB131)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21460, 21402])).
% 40.16/26.64 tff(21462,assumption,(constB131 = sK0_VarCurr), introduced(assumption)).
% 40.16/26.64 tff(21463,plain,
% 40.16/26.64 (v86(constB131) <=> v86(sK0_VarCurr)),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21462])).
% 40.16/26.64 tff(21464,plain,
% 40.16/26.64 (v86(sK0_VarCurr) <=> v86(constB131)),
% 40.16/26.64 inference(symmetry,[status(thm)],[21463])).
% 40.16/26.64 tff(21465,plain,
% 40.16/26.64 ((~v86(sK0_VarCurr)) <=> (~v86(constB131))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21464])).
% 40.16/26.64 tff(21466,plain,
% 40.16/26.64 (~v86(constB131)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[77, 21465])).
% 40.16/26.64 tff(21467,assumption,(v86(constB131)), introduced(assumption)).
% 40.16/26.64 tff(21468,plain,
% 40.16/26.64 ($false),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21467, 21466])).
% 40.16/26.64 tff(21469,plain,((~(constB131 = sK0_VarCurr)) | (~v86(constB131)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.64 tff(21470,plain,
% 40.16/26.64 ((~(constB131 = sK0_VarCurr)) | v86(sK0_VarCurr)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21469, 21461])).
% 40.16/26.64 tff(21471,plain,
% 40.16/26.64 (~(constB131 = sK0_VarCurr)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21470, 72])).
% 40.16/26.64 tff(21472,assumption,(constB45 = sK0_VarCurr), introduced(assumption)).
% 40.16/26.64 tff(21473,plain,
% 40.16/26.64 (v86(constB45) <=> v86(sK0_VarCurr)),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21472])).
% 40.16/26.64 tff(21474,plain,
% 40.16/26.64 (v86(sK0_VarCurr) <=> v86(constB45)),
% 40.16/26.64 inference(symmetry,[status(thm)],[21473])).
% 40.16/26.64 tff(21475,plain,
% 40.16/26.64 ((~v86(sK0_VarCurr)) <=> (~v86(constB45))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21474])).
% 40.16/26.64 tff(21476,plain,
% 40.16/26.64 (~v86(constB45)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[77, 21475])).
% 40.16/26.64 tff(21477,plain,
% 40.16/26.64 (((~![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))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21478,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB45, bitIndex2)) | v88(constB45, bitIndex2))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21479,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB45, bitIndex2)) | v88(constB45, bitIndex2)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21478, 21477])).
% 40.16/26.64 tff(21480,plain,
% 40.16/26.64 (v88(constB45, bitIndex2)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21479, 10566, 6122])).
% 40.16/26.64 tff(21481,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v139(constB45)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB45, bitIndex2)) | (~v139(constB45)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21482,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v139(constB45)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21483,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB45, bitIndex2)) | (~v139(constB45))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21482, 21481])).
% 40.16/26.64 tff(21484,plain,
% 40.16/26.64 (~v139(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21483, 10904, 21480])).
% 40.16/26.64 tff(21485,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v140(constB45)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB45, bitIndex2)) | (~v140(constB45)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21486,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v140(constB45)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21487,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB45, bitIndex2)) | (~v140(constB45))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21486, 21485])).
% 40.16/26.64 tff(21488,plain,
% 40.16/26.64 (~v140(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21487, 10577, 21480])).
% 40.16/26.64 tff(21489,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB45)) | v140(constB45) | v139(constB45))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB45)) | v140(constB45) | v139(constB45))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21490,plain,
% 40.16/26.64 ((v140(constB45) | v139(constB45) | (~v170(constB45))) <=> ((~v170(constB45)) | v140(constB45) | v139(constB45))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21491,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v170(constB45)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB45)) | v140(constB45) | v139(constB45)))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21490])).
% 40.16/26.64 tff(21492,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v170(constB45)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB45)) | v140(constB45) | v139(constB45))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21491, 21489])).
% 40.16/26.64 tff(21493,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v170(constB45)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21494,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB45)) | v140(constB45) | v139(constB45)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21493, 21492])).
% 40.16/26.64 tff(21495,plain,
% 40.16/26.64 (~v170(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21494, 10647, 21488, 21484])).
% 40.16/26.64 tff(21496,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB45)) | (~v88(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB45)) | (~v88(constB45, bitIndex2)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21497,plain,
% 40.16/26.64 (((~v88(constB45, bitIndex2)) | (~v141(constB45))) <=> ((~v141(constB45)) | (~v88(constB45, bitIndex2)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21498,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v141(constB45)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB45)) | (~v88(constB45, bitIndex2))))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21497])).
% 40.16/26.64 tff(21499,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v141(constB45)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB45)) | (~v88(constB45, bitIndex2)))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21498, 21496])).
% 40.16/26.64 tff(21500,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v141(constB45)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21501,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB45)) | (~v88(constB45, bitIndex2))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21500, 21499])).
% 40.16/26.64 tff(21502,plain,
% 40.16/26.64 (~v141(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21501, 10658, 21480])).
% 40.16/26.64 tff(21503,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | ((~v167(constB45)) | v170(constB45) | v141(constB45))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB45)) | v170(constB45) | v141(constB45))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21504,plain,
% 40.16/26.64 ((v141(constB45) | (~v167(constB45)) | v170(constB45)) <=> ((~v167(constB45)) | v170(constB45) | v141(constB45))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21505,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB45) | (~v167(constB45)) | v170(constB45))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | ((~v167(constB45)) | v170(constB45) | v141(constB45)))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21504])).
% 40.16/26.64 tff(21506,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB45) | (~v167(constB45)) | v170(constB45))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB45)) | v170(constB45) | v141(constB45))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21505, 21503])).
% 40.16/26.64 tff(21507,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB45) | (~v167(constB45)) | v170(constB45))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21508,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB45)) | v170(constB45) | v141(constB45)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21507, 21506])).
% 40.16/26.64 tff(21509,plain,
% 40.16/26.64 ((~v167(constB45)) | v170(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21508, 10672, 21502])).
% 40.16/26.64 tff(21510,plain,
% 40.16/26.64 (~v167(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21509, 21495])).
% 40.16/26.64 tff(21511,plain,
% 40.16/26.64 (((~![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)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21512,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB45, bitIndex1) | (~v88(constB45, bitIndex1)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21513,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB45, bitIndex1) | (~v88(constB45, bitIndex1))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21512, 21511])).
% 40.16/26.64 tff(21514,plain,
% 40.16/26.64 (~v88(constB45, bitIndex1)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21513, 10784, 6156])).
% 40.16/26.64 tff(21515,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB45)) | v88(constB45, bitIndex1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB45)) | v88(constB45, bitIndex1))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21516,plain,
% 40.16/26.64 ((v88(constB45, bitIndex1) | (~v144(constB45))) <=> ((~v144(constB45)) | v88(constB45, bitIndex1))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21517,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB45, bitIndex1) | (~v144(constB45)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB45)) | v88(constB45, bitIndex1)))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21516])).
% 40.16/26.64 tff(21518,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB45, bitIndex1) | (~v144(constB45)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB45)) | v88(constB45, bitIndex1))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21517, 21515])).
% 40.16/26.64 tff(21519,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB45, bitIndex1) | (~v144(constB45)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21520,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB45)) | v88(constB45, bitIndex1)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21519, 21518])).
% 40.16/26.64 tff(21521,plain,
% 40.16/26.64 (~v144(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21520, 10868, 21514])).
% 40.16/26.64 tff(21522,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v143(constB45)) | (~v88(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB45)) | (~v88(constB45, bitIndex2)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21523,plain,
% 40.16/26.64 (((~v88(constB45, bitIndex2)) | (~v143(constB45))) <=> ((~v143(constB45)) | (~v88(constB45, bitIndex2)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21524,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v143(constB45)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v143(constB45)) | (~v88(constB45, bitIndex2))))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21523])).
% 40.16/26.64 tff(21525,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v143(constB45)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB45)) | (~v88(constB45, bitIndex2)))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21524, 21522])).
% 40.16/26.64 tff(21526,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v143(constB45)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21527,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB45)) | (~v88(constB45, bitIndex2))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21526, 21525])).
% 40.16/26.64 tff(21528,plain,
% 40.16/26.64 (~v143(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21527, 10885, 21480])).
% 40.16/26.64 tff(21529,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB45) | v144(constB45) | (~v142(constB45)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB45) | v144(constB45) | (~v142(constB45)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21530,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB45) | v144(constB45) | (~v142(constB45)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21531,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB45) | v144(constB45) | (~v142(constB45))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21530, 21529])).
% 40.16/26.64 tff(21532,plain,
% 40.16/26.64 (~v142(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21531, 10711, 21528, 21521])).
% 40.16/26.64 tff(21533,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | ((~v166(constB45)) | v167(constB45) | v142(constB45))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB45)) | v167(constB45) | v142(constB45))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21534,plain,
% 40.16/26.64 ((v142(constB45) | (~v166(constB45)) | v167(constB45)) <=> ((~v166(constB45)) | v167(constB45) | v142(constB45))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21535,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB45) | (~v166(constB45)) | v167(constB45))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | ((~v166(constB45)) | v167(constB45) | v142(constB45)))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21534])).
% 40.16/26.64 tff(21536,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB45) | (~v166(constB45)) | v167(constB45))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB45)) | v167(constB45) | v142(constB45))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21535, 21533])).
% 40.16/26.64 tff(21537,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB45) | (~v166(constB45)) | v167(constB45))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21538,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB45)) | v167(constB45) | v142(constB45)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21537, 21536])).
% 40.16/26.64 tff(21539,plain,
% 40.16/26.64 (~v166(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21538, 10725, 21532, 21510])).
% 40.16/26.64 tff(21540,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB45) | v166(constB45))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB45) | v166(constB45))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21541,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB45) | v166(constB45))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21542,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB45) | v166(constB45)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21541, 21540])).
% 40.16/26.64 tff(21543,plain,
% 40.16/26.64 (v148(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21542, 10739, 21539])).
% 40.16/26.64 tff(21544,plain,
% 40.16/26.64 (((~![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)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21545,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB45, bitIndex0) | (~v88(constB45, bitIndex0)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21546,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB45, bitIndex0) | (~v88(constB45, bitIndex0))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21545, 21544])).
% 40.16/26.64 tff(21547,plain,
% 40.16/26.64 (~v88(constB45, bitIndex0)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21546, 14645, 6190])).
% 40.16/26.64 tff(21548,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v146(constB45) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB45) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21549,plain,
% 40.16/26.64 (((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0) | v146(constB45)) <=> (v146(constB45) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21550,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0) | v146(constB45))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v146(constB45) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0)))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21549])).
% 40.16/26.64 tff(21551,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0) | v146(constB45))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB45) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21550, 21548])).
% 40.16/26.64 tff(21552,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0) | v146(constB45))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21553,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v146(constB45) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21552, 21551])).
% 40.16/26.64 tff(21554,plain,
% 40.16/26.64 (v146(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21553, 14659, 21480, 21547, 21514])).
% 40.16/26.64 tff(21555,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB45) | (~v146(constB45)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB45) | (~v146(constB45)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21556,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB45) | (~v146(constB45)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21557,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB45) | (~v146(constB45))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21556, 21555])).
% 40.16/26.64 tff(21558,plain,
% 40.16/26.64 (v145(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21557, 14673, 21554])).
% 40.16/26.64 tff(21559,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB45) | (~v145(constB45)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB45) | (~v145(constB45)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21560,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB45) | (~v145(constB45)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21561,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB45) | (~v145(constB45))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21560, 21559])).
% 40.16/26.64 tff(21562,plain,
% 40.16/26.64 (v165(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21561, 10823, 21558])).
% 40.16/26.64 tff(21563,plain,
% 40.16/26.64 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB45) | (~v148(constB45)) | (~v165(constB45)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB45) | (~v148(constB45)) | (~v165(constB45)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21564,plain,
% 40.16/26.64 (((~v148(constB45)) | (~v165(constB45)) | v86(constB45)) <=> (v86(constB45) | (~v148(constB45)) | (~v165(constB45)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21565,plain,
% 40.16/26.64 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB45)) | (~v165(constB45)) | v86(constB45))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB45) | (~v148(constB45)) | (~v165(constB45))))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21564])).
% 40.16/26.64 tff(21566,plain,
% 40.16/26.64 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB45)) | (~v165(constB45)) | v86(constB45))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB45) | (~v148(constB45)) | (~v165(constB45)))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21565, 21563])).
% 40.16/26.64 tff(21567,plain,
% 40.16/26.64 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB45)) | (~v165(constB45)) | v86(constB45))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21568,plain,
% 40.16/26.64 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB45) | (~v148(constB45)) | (~v165(constB45))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21567, 21566])).
% 40.16/26.64 tff(21569,plain,
% 40.16/26.64 (v86(constB45) | (~v148(constB45))),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21568, 10837, 21562])).
% 40.16/26.64 tff(21570,plain,
% 40.16/26.64 (v86(constB45)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21569, 21543])).
% 40.16/26.64 tff(21571,plain,
% 40.16/26.64 ($false),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21570, 21476])).
% 40.16/26.64 tff(21572,plain,((~(constB45 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.64 tff(21573,plain,
% 40.16/26.64 (~(constB45 = sK0_VarCurr)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21572, 72])).
% 40.16/26.64 tff(21574,assumption,(constB117 = sK0_VarCurr), introduced(assumption)).
% 40.16/26.64 tff(21575,plain,
% 40.16/26.64 (v86(constB117) <=> v86(sK0_VarCurr)),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21574])).
% 40.16/26.64 tff(21576,plain,
% 40.16/26.64 (v86(sK0_VarCurr) <=> v86(constB117)),
% 40.16/26.64 inference(symmetry,[status(thm)],[21575])).
% 40.16/26.64 tff(21577,plain,
% 40.16/26.64 ((~v86(sK0_VarCurr)) <=> (~v86(constB117))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21576])).
% 40.16/26.64 tff(21578,plain,
% 40.16/26.64 (~v86(constB117)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[77, 21577])).
% 40.16/26.64 tff(21579,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB117) | v170(constB117) | (~v167(constB117)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB117) | v170(constB117) | (~v167(constB117)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21580,plain,
% 40.16/26.64 ((v141(constB117) | (~v167(constB117)) | v170(constB117)) <=> (v141(constB117) | v170(constB117) | (~v167(constB117)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21581,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB117) | (~v167(constB117)) | v170(constB117))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB117) | v170(constB117) | (~v167(constB117))))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21580])).
% 40.16/26.64 tff(21582,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB117) | (~v167(constB117)) | v170(constB117))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB117) | v170(constB117) | (~v167(constB117)))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21581, 21579])).
% 40.16/26.64 tff(21583,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB117) | (~v167(constB117)) | v170(constB117))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21584,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB117) | v170(constB117) | (~v167(constB117))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21583, 21582])).
% 40.16/26.64 tff(21585,plain,
% 40.16/26.64 (v170(constB117) | (~v167(constB117))),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21584, 10672, 14561])).
% 40.16/26.64 tff(21586,plain,
% 40.16/26.64 (~v167(constB117)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21585, 14554])).
% 40.16/26.64 tff(21587,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB117)) | v88(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB117)) | v88(constB117, bitIndex1))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21588,plain,
% 40.16/26.64 ((v88(constB117, bitIndex1) | (~v144(constB117))) <=> ((~v144(constB117)) | v88(constB117, bitIndex1))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21589,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB117, bitIndex1) | (~v144(constB117)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB117)) | v88(constB117, bitIndex1)))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21588])).
% 40.16/26.64 tff(21590,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB117, bitIndex1) | (~v144(constB117)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB117)) | v88(constB117, bitIndex1))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21589, 21587])).
% 40.16/26.64 tff(21591,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB117, bitIndex1) | (~v144(constB117)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21592,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB117)) | v88(constB117, bitIndex1)),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21591, 21590])).
% 40.16/26.64 tff(21593,plain,
% 40.16/26.64 (~v144(constB117)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21592, 10868, 14604])).
% 40.16/26.64 tff(21594,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v143(constB117)) | (~v88(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB117)) | (~v88(constB117, bitIndex2)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21595,plain,
% 40.16/26.64 (((~v88(constB117, bitIndex2)) | (~v143(constB117))) <=> ((~v143(constB117)) | (~v88(constB117, bitIndex2)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21596,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v143(constB117)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v143(constB117)) | (~v88(constB117, bitIndex2))))),
% 40.16/26.64 inference(monotonicity,[status(thm)],[21595])).
% 40.16/26.64 tff(21597,plain,
% 40.16/26.64 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v143(constB117)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB117)) | (~v88(constB117, bitIndex2)))),
% 40.16/26.64 inference(transitivity,[status(thm)],[21596, 21594])).
% 40.16/26.64 tff(21598,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB117, bitIndex2)) | (~v143(constB117)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21599,plain,
% 40.16/26.64 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB117)) | (~v88(constB117, bitIndex2))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21598, 21597])).
% 40.16/26.64 tff(21600,plain,
% 40.16/26.64 (~v143(constB117)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21599, 10885, 14536])).
% 40.16/26.64 tff(21601,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB117) | v144(constB117) | (~v142(constB117)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB117) | v144(constB117) | (~v142(constB117)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21602,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB117) | v144(constB117) | (~v142(constB117)))),
% 40.16/26.64 inference(quant_inst,[status(thm)],[])).
% 40.16/26.64 tff(21603,plain,
% 40.16/26.64 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB117) | v144(constB117) | (~v142(constB117))),
% 40.16/26.64 inference(modus_ponens,[status(thm)],[21602, 21601])).
% 40.16/26.64 tff(21604,plain,
% 40.16/26.64 (~v142(constB117)),
% 40.16/26.64 inference(unit_resolution,[status(thm)],[21603, 10711, 21600, 21593])).
% 40.16/26.64 tff(21605,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB117) | v167(constB117) | (~v166(constB117)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB117) | v167(constB117) | (~v166(constB117)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21606,plain,
% 40.16/26.64 ((v142(constB117) | (~v166(constB117)) | v167(constB117)) <=> (v142(constB117) | v167(constB117) | (~v166(constB117)))),
% 40.16/26.64 inference(rewrite,[status(thm)],[])).
% 40.16/26.64 tff(21607,plain,
% 40.16/26.64 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB117) | (~v166(constB117)) | v167(constB117))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB117) | v167(constB117) | (~v166(constB117))))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21606])).
% 40.16/26.65 tff(21608,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB117) | (~v166(constB117)) | v167(constB117))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB117) | v167(constB117) | (~v166(constB117)))),
% 40.16/26.65 inference(transitivity,[status(thm)],[21607, 21605])).
% 40.16/26.65 tff(21609,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB117) | (~v166(constB117)) | v167(constB117))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21610,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB117) | v167(constB117) | (~v166(constB117))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21609, 21608])).
% 40.16/26.65 tff(21611,plain,
% 40.16/26.65 (~v166(constB117)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21610, 10725, 21604, 21586])).
% 40.16/26.65 tff(21612,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB117) | v166(constB117))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB117) | v166(constB117))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21613,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB117) | v166(constB117))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21614,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB117) | v166(constB117)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21613, 21612])).
% 40.16/26.65 tff(21615,plain,
% 40.16/26.65 (v148(constB117)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21614, 10739, 21611])).
% 40.16/26.65 tff(21616,plain,
% 40.16/26.65 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB117) | (~v165(constB117)) | (~v148(constB117)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB117) | (~v165(constB117)) | (~v148(constB117)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21617,plain,
% 40.16/26.65 (((~v148(constB117)) | (~v165(constB117)) | v86(constB117)) <=> (v86(constB117) | (~v165(constB117)) | (~v148(constB117)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21618,plain,
% 40.16/26.65 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB117)) | (~v165(constB117)) | v86(constB117))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB117) | (~v165(constB117)) | (~v148(constB117))))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21617])).
% 40.16/26.65 tff(21619,plain,
% 40.16/26.65 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB117)) | (~v165(constB117)) | v86(constB117))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB117) | (~v165(constB117)) | (~v148(constB117)))),
% 40.16/26.65 inference(transitivity,[status(thm)],[21618, 21616])).
% 40.16/26.65 tff(21620,plain,
% 40.16/26.65 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB117)) | (~v165(constB117)) | v86(constB117))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21621,plain,
% 40.16/26.65 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB117) | (~v165(constB117)) | (~v148(constB117))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21620, 21619])).
% 40.16/26.65 tff(21622,plain,
% 40.16/26.65 (v86(constB117) | (~v148(constB117))),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21621, 10837, 14681])).
% 40.16/26.65 tff(21623,plain,
% 40.16/26.65 (v86(constB117)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21622, 21615])).
% 40.16/26.65 tff(21624,plain,
% 40.16/26.65 ($false),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21623, 21578])).
% 40.16/26.65 tff(21625,plain,((~(constB117 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.65 tff(21626,plain,
% 40.16/26.65 (~(constB117 = sK0_VarCurr)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21625, 72])).
% 40.16/26.65 tff(21627,assumption,(constB114 = sK0_VarCurr), introduced(assumption)).
% 40.16/26.65 tff(21628,plain,
% 40.16/26.65 (v1(constB114) <=> v1(sK0_VarCurr)),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21627])).
% 40.16/26.65 tff(21629,plain,
% 40.16/26.65 (v1(sK0_VarCurr) <=> v1(constB114)),
% 40.16/26.65 inference(symmetry,[status(thm)],[21628])).
% 40.16/26.65 tff(21630,plain,
% 40.16/26.65 ((~v1(sK0_VarCurr)) <=> (~v1(constB114))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21629])).
% 40.16/26.65 tff(21631,plain,
% 40.16/26.65 (~v1(constB114)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21332, 21630])).
% 40.16/26.65 tff(21632,plain,
% 40.16/26.65 ($false),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[14285, 21631])).
% 40.16/26.65 tff(21633,plain,((~(constB114 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.65 tff(21634,plain,
% 40.16/26.65 (~(constB114 = sK0_VarCurr)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21633, 21327])).
% 40.16/26.65 tff(21635,plain,
% 40.16/26.65 (v1(constB80) <=> v1(sK0_VarCurr)),
% 40.16/26.65 inference(monotonicity,[status(thm)],[1])).
% 40.16/26.65 tff(21636,plain,
% 40.16/26.65 (v1(sK0_VarCurr) <=> v1(constB80)),
% 40.16/26.65 inference(symmetry,[status(thm)],[21635])).
% 40.16/26.65 tff(21637,plain,
% 40.16/26.65 ((~v1(sK0_VarCurr)) <=> (~v1(constB80))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21636])).
% 40.16/26.65 tff(21638,plain,
% 40.16/26.65 (~v1(constB80)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21332, 21637])).
% 40.16/26.65 tff(21639,plain,
% 40.16/26.65 ($false),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[10306, 21638])).
% 40.16/26.65 tff(21640,plain,((~(constB80 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.65 tff(21641,plain,
% 40.16/26.65 (~(constB80 = sK0_VarCurr)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21640, 21327])).
% 40.16/26.65 tff(21642,assumption,(constB81 = sK0_VarCurr), introduced(assumption)).
% 40.16/26.65 tff(21643,plain,
% 40.16/26.65 (v86(constB81) <=> v86(sK0_VarCurr)),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21642])).
% 40.16/26.65 tff(21644,plain,
% 40.16/26.65 (v86(sK0_VarCurr) <=> v86(constB81)),
% 40.16/26.65 inference(symmetry,[status(thm)],[21643])).
% 40.16/26.65 tff(21645,plain,
% 40.16/26.65 ((~v86(sK0_VarCurr)) <=> (~v86(constB81))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21644])).
% 40.16/26.65 tff(21646,plain,
% 40.16/26.65 (~v86(constB81)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[77, 21645])).
% 40.16/26.65 tff(21647,plain,
% 40.16/26.65 (((~![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))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21648,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB81, bitIndex2)) | v88(constB81, bitIndex2))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21649,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB81, bitIndex2)) | v88(constB81, bitIndex2)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21648, 21647])).
% 40.16/26.65 tff(21650,plain,
% 40.16/26.65 (v88(constB81, bitIndex2)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21649, 10566, 10373])).
% 40.16/26.65 tff(21651,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v139(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v139(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21652,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v139(constB81)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21653,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v139(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21652, 21651])).
% 40.16/26.65 tff(21654,plain,
% 40.16/26.65 (~v139(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21653, 10904, 21650])).
% 40.16/26.65 tff(21655,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v140(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v140(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21656,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v140(constB81)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21657,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v140(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21656, 21655])).
% 40.16/26.65 tff(21658,plain,
% 40.16/26.65 (~v140(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21657, 10577, 21650])).
% 40.16/26.65 tff(21659,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v170(constB81)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB81) | v139(constB81) | (~v170(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21660,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v170(constB81)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21661,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB81) | v139(constB81) | (~v170(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21660, 21659])).
% 40.16/26.65 tff(21662,plain,
% 40.16/26.65 (~v170(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21661, 10647, 21658, 21654])).
% 40.16/26.65 tff(21663,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v141(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v141(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21664,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v141(constB81)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21665,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v141(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21664, 21663])).
% 40.16/26.65 tff(21666,plain,
% 40.16/26.65 (~v141(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21665, 10658, 21650])).
% 40.16/26.65 tff(21667,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB81) | v170(constB81) | (~v167(constB81)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB81) | v170(constB81) | (~v167(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21668,plain,
% 40.16/26.65 ((v141(constB81) | (~v167(constB81)) | v170(constB81)) <=> (v141(constB81) | v170(constB81) | (~v167(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21669,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB81) | (~v167(constB81)) | v170(constB81))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB81) | v170(constB81) | (~v167(constB81))))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21668])).
% 40.16/26.65 tff(21670,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB81) | (~v167(constB81)) | v170(constB81))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB81) | v170(constB81) | (~v167(constB81)))),
% 40.16/26.65 inference(transitivity,[status(thm)],[21669, 21667])).
% 40.16/26.65 tff(21671,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB81) | (~v167(constB81)) | v170(constB81))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21672,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB81) | v170(constB81) | (~v167(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21671, 21670])).
% 40.16/26.65 tff(21673,plain,
% 40.16/26.65 (v170(constB81) | (~v167(constB81))),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21672, 10672, 21666])).
% 40.16/26.65 tff(21674,plain,
% 40.16/26.65 (~v167(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21673, 21662])).
% 40.16/26.65 tff(21675,plain,
% 40.16/26.65 (((~![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)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21676,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB81, bitIndex1) | (~v88(constB81, bitIndex1)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21677,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB81, bitIndex1) | (~v88(constB81, bitIndex1))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21676, 21675])).
% 40.16/26.65 tff(21678,plain,
% 40.16/26.65 (~v88(constB81, bitIndex1)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21677, 10784, 10407])).
% 40.16/26.65 tff(21679,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB81)) | v88(constB81, bitIndex1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB81)) | v88(constB81, bitIndex1))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21680,plain,
% 40.16/26.65 ((v88(constB81, bitIndex1) | (~v144(constB81))) <=> ((~v144(constB81)) | v88(constB81, bitIndex1))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21681,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB81, bitIndex1) | (~v144(constB81)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB81)) | v88(constB81, bitIndex1)))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21680])).
% 40.16/26.65 tff(21682,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB81, bitIndex1) | (~v144(constB81)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB81)) | v88(constB81, bitIndex1))),
% 40.16/26.65 inference(transitivity,[status(thm)],[21681, 21679])).
% 40.16/26.65 tff(21683,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB81, bitIndex1) | (~v144(constB81)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21684,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB81)) | v88(constB81, bitIndex1)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21683, 21682])).
% 40.16/26.65 tff(21685,plain,
% 40.16/26.65 (~v144(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21684, 10868, 21678])).
% 40.16/26.65 tff(21686,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v143(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v143(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21687,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v143(constB81)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21688,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB81, bitIndex2)) | (~v143(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21687, 21686])).
% 40.16/26.65 tff(21689,plain,
% 40.16/26.65 (~v143(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21688, 10885, 21650])).
% 40.16/26.65 tff(21690,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB81) | v144(constB81) | (~v142(constB81)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB81) | v144(constB81) | (~v142(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21691,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB81) | v144(constB81) | (~v142(constB81)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21692,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB81) | v144(constB81) | (~v142(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21691, 21690])).
% 40.16/26.65 tff(21693,plain,
% 40.16/26.65 (~v142(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21692, 10711, 21689, 21685])).
% 40.16/26.65 tff(21694,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB81) | v167(constB81) | (~v166(constB81)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB81) | v167(constB81) | (~v166(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21695,plain,
% 40.16/26.65 ((v142(constB81) | (~v166(constB81)) | v167(constB81)) <=> (v142(constB81) | v167(constB81) | (~v166(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21696,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB81) | (~v166(constB81)) | v167(constB81))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB81) | v167(constB81) | (~v166(constB81))))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21695])).
% 40.16/26.65 tff(21697,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB81) | (~v166(constB81)) | v167(constB81))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB81) | v167(constB81) | (~v166(constB81)))),
% 40.16/26.65 inference(transitivity,[status(thm)],[21696, 21694])).
% 40.16/26.65 tff(21698,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB81) | (~v166(constB81)) | v167(constB81))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21699,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB81) | v167(constB81) | (~v166(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21698, 21697])).
% 40.16/26.65 tff(21700,plain,
% 40.16/26.65 (~v166(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21699, 10725, 21693, 21674])).
% 40.16/26.65 tff(21701,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB81) | v166(constB81))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB81) | v166(constB81))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21702,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB81) | v166(constB81))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21703,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB81) | v166(constB81)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21702, 21701])).
% 40.16/26.65 tff(21704,plain,
% 40.16/26.65 (v148(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21703, 10739, 21700])).
% 40.16/26.65 tff(21705,plain,
% 40.16/26.65 (((~![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)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21706,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB81, bitIndex0) | (~v88(constB81, bitIndex0)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21707,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB81, bitIndex0) | (~v88(constB81, bitIndex0))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21706, 21705])).
% 40.16/26.65 tff(21708,plain,
% 40.16/26.65 (~v88(constB81, bitIndex0)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21707, 14645, 10441])).
% 40.16/26.65 tff(21709,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21710,plain,
% 40.16/26.65 (((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81)) <=> ((~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21711,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0)))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21710])).
% 40.16/26.65 tff(21712,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))),
% 40.16/26.65 inference(transitivity,[status(thm)],[21711, 21709])).
% 40.16/26.65 tff(21713,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21714,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21713, 21712])).
% 40.16/26.65 tff(21715,plain,
% 40.16/26.65 (v146(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21714, 14659, 21650, 21708, 21678])).
% 40.16/26.65 tff(21716,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB81) | (~v146(constB81)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB81) | (~v146(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21717,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB81) | (~v146(constB81)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21718,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB81) | (~v146(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21717, 21716])).
% 40.16/26.65 tff(21719,plain,
% 40.16/26.65 (v145(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21718, 14673, 21715])).
% 40.16/26.65 tff(21720,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB81) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB81) | (~v145(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21721,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB81) | (~v145(constB81)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21722,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB81) | (~v145(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21721, 21720])).
% 40.16/26.65 tff(21723,plain,
% 40.16/26.65 (v165(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21722, 10823, 21719])).
% 40.16/26.65 tff(21724,plain,
% 40.16/26.65 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB81) | (~v165(constB81)) | (~v148(constB81)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB81) | (~v165(constB81)) | (~v148(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21725,plain,
% 40.16/26.65 (((~v148(constB81)) | (~v165(constB81)) | v86(constB81)) <=> (v86(constB81) | (~v165(constB81)) | (~v148(constB81)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21726,plain,
% 40.16/26.65 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB81)) | (~v165(constB81)) | v86(constB81))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB81) | (~v165(constB81)) | (~v148(constB81))))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21725])).
% 40.16/26.65 tff(21727,plain,
% 40.16/26.65 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB81)) | (~v165(constB81)) | v86(constB81))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB81) | (~v165(constB81)) | (~v148(constB81)))),
% 40.16/26.65 inference(transitivity,[status(thm)],[21726, 21724])).
% 40.16/26.65 tff(21728,plain,
% 40.16/26.65 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB81)) | (~v165(constB81)) | v86(constB81))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21729,plain,
% 40.16/26.65 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB81) | (~v165(constB81)) | (~v148(constB81))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21728, 21727])).
% 40.16/26.65 tff(21730,plain,
% 40.16/26.65 (v86(constB81) | (~v148(constB81))),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21729, 10837, 21723])).
% 40.16/26.65 tff(21731,plain,
% 40.16/26.65 (v86(constB81)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21730, 21704])).
% 40.16/26.65 tff(21732,plain,
% 40.16/26.65 ($false),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21731, 21646])).
% 40.16/26.65 tff(21733,plain,((~(constB81 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.65 tff(21734,plain,
% 40.16/26.65 (~(constB81 = sK0_VarCurr)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21733, 72])).
% 40.16/26.65 tff(21735,assumption,(constB186 = sK0_VarCurr), introduced(assumption)).
% 40.16/26.65 tff(21736,plain,
% 40.16/26.65 (v1(constB186) <=> v1(sK0_VarCurr)),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21735])).
% 40.16/26.65 tff(21737,plain,
% 40.16/26.65 (v1(sK0_VarCurr) <=> v1(constB186)),
% 40.16/26.65 inference(symmetry,[status(thm)],[21736])).
% 40.16/26.65 tff(21738,plain,
% 40.16/26.65 ((~v1(sK0_VarCurr)) <=> (~v1(constB186))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21737])).
% 40.16/26.65 tff(21739,plain,
% 40.16/26.65 (~v1(constB186)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21332, 21738])).
% 40.16/26.65 tff(21740,plain,
% 40.16/26.65 (v1(constB186) <=> v1(constB186)),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21741,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 40.16/26.65 tff(21742,plain,
% 40.16/26.65 (v1(constB186)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21741, 21740])).
% 40.16/26.65 tff(21743,plain,
% 40.16/26.65 ($false),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21742, 21739])).
% 40.16/26.65 tff(21744,plain,((~(constB186 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.65 tff(21745,plain,
% 40.16/26.65 (~(constB186 = sK0_VarCurr)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21744, 21327])).
% 40.16/26.65 tff(21746,assumption,(constB143 = sK0_VarCurr), introduced(assumption)).
% 40.16/26.65 tff(21747,plain,
% 40.16/26.65 (v196(constB143) <=> v196(sK0_VarCurr)),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21746])).
% 40.16/26.65 tff(21748,plain,
% 40.16/26.65 (v196(sK0_VarCurr) <=> v196(constB143)),
% 40.16/26.65 inference(symmetry,[status(thm)],[21747])).
% 40.16/26.65 tff(21749,plain,
% 40.16/26.65 ((~v196(sK0_VarCurr)) <=> (~v196(constB143))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21748])).
% 40.16/26.65 tff(21750,plain,
% 40.16/26.65 (~v196(constB143)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[4, 21749])).
% 40.16/26.65 tff(21751,plain,
% 40.16/26.65 (v116(constB139)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18347, 1149, 18343])).
% 40.16/26.65 tff(21752,plain,
% 40.16/26.65 (v115(constB139)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18351, 272, 21751])).
% 40.16/26.65 tff(21753,plain,
% 40.16/26.65 (v114(constB139)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18355, 283, 21752])).
% 40.16/26.65 tff(21754,plain,
% 40.16/26.65 (v113(constB139)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18359, 294, 21753])).
% 40.16/26.65 tff(21755,plain,
% 40.16/26.65 (v112(constB139)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18368, 21754])).
% 40.16/26.65 tff(21756,plain,
% 40.16/26.65 (v108(constB139)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18372, 320, 21755])).
% 40.16/26.65 tff(21757,plain,
% 40.16/26.65 (v110(constB140)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18383, 21756])).
% 40.16/26.65 tff(21758,plain,
% 40.16/26.65 (v100(constB140)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18409, 21757])).
% 40.16/26.65 tff(21759,plain,
% 40.16/26.65 (v130(constB139, bitIndex2)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18708, 1803, 18343])).
% 40.16/26.65 tff(21760,plain,
% 40.16/26.65 (v127(constB139, bitIndex2)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18713, 21759])).
% 40.16/26.65 tff(21761,plain,
% 40.16/26.65 (v129(constB140, bitIndex2)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18718, 21760])).
% 40.16/26.65 tff(21762,plain,
% 40.16/26.65 (v90(constB140, bitIndex2) | (~v100(constB140))),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18725, 2100, 21761])).
% 40.16/26.65 tff(21763,plain,
% 40.16/26.65 (v90(constB140, bitIndex2)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21762, 21758])).
% 40.16/26.65 tff(21764,plain,
% 40.16/26.65 (v90(constB141, bitIndex2)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18735, 21763])).
% 40.16/26.65 tff(21765,plain,
% 40.16/26.65 (((~![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))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21766,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB141, bitIndex2)) | v88(constB141, bitIndex2))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21767,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB141, bitIndex2)) | v88(constB141, bitIndex2)),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21766, 21765])).
% 40.16/26.65 tff(21768,plain,
% 40.16/26.65 (v88(constB141, bitIndex2)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21767, 10566, 21764])).
% 40.16/26.65 tff(21769,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v139(constB141)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v139(constB141)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21770,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v139(constB141)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21771,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v139(constB141))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21770, 21769])).
% 40.16/26.65 tff(21772,plain,
% 40.16/26.65 (~v139(constB141)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21771, 10904, 21768])).
% 40.16/26.65 tff(21773,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v140(constB141)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v140(constB141)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21774,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v140(constB141)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21775,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v140(constB141))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21774, 21773])).
% 40.16/26.65 tff(21776,plain,
% 40.16/26.65 (~v140(constB141)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21775, 10577, 21768])).
% 40.16/26.65 tff(21777,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v170(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB141) | v139(constB141) | (~v170(constB141)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21778,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v170(constB141)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21779,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB141) | v139(constB141) | (~v170(constB141))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21778, 21777])).
% 40.16/26.65 tff(21780,plain,
% 40.16/26.65 (~v170(constB141)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21779, 10647, 21776, 21772])).
% 40.16/26.65 tff(21781,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v141(constB141)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v141(constB141)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21782,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v141(constB141)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21783,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v141(constB141))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21782, 21781])).
% 40.16/26.65 tff(21784,plain,
% 40.16/26.65 (~v141(constB141)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21783, 10658, 21768])).
% 40.16/26.65 tff(21785,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB141) | v170(constB141) | (~v167(constB141)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB141) | v170(constB141) | (~v167(constB141)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21786,plain,
% 40.16/26.65 ((v141(constB141) | (~v167(constB141)) | v170(constB141)) <=> (v141(constB141) | v170(constB141) | (~v167(constB141)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21787,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB141) | (~v167(constB141)) | v170(constB141))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB141) | v170(constB141) | (~v167(constB141))))),
% 40.16/26.65 inference(monotonicity,[status(thm)],[21786])).
% 40.16/26.65 tff(21788,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB141) | (~v167(constB141)) | v170(constB141))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB141) | v170(constB141) | (~v167(constB141)))),
% 40.16/26.65 inference(transitivity,[status(thm)],[21787, 21785])).
% 40.16/26.65 tff(21789,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB141) | (~v167(constB141)) | v170(constB141))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21790,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB141) | v170(constB141) | (~v167(constB141))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21789, 21788])).
% 40.16/26.65 tff(21791,plain,
% 40.16/26.65 (v170(constB141) | (~v167(constB141))),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21790, 10672, 21784])).
% 40.16/26.65 tff(21792,plain,
% 40.16/26.65 (~v167(constB141)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21791, 21780])).
% 40.16/26.65 tff(21793,plain,
% 40.16/26.65 (~v130(constB139, bitIndex1)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18739, 2137, 18343])).
% 40.16/26.65 tff(21794,plain,
% 40.16/26.65 (~v127(constB139, bitIndex1)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18747, 21793])).
% 40.16/26.65 tff(21795,plain,
% 40.16/26.65 (~v129(constB140, bitIndex1)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18752, 21794])).
% 40.16/26.65 tff(21796,plain,
% 40.16/26.65 ((~v90(constB140, bitIndex1)) | (~v100(constB140))),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18759, 560, 21795])).
% 40.16/26.65 tff(21797,plain,
% 40.16/26.65 (~v90(constB140, bitIndex1)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21796, 21758])).
% 40.16/26.65 tff(21798,plain,
% 40.16/26.65 (~v90(constB141, bitIndex1)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[18769, 21797])).
% 40.16/26.65 tff(21799,plain,
% 40.16/26.65 (((~![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)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21800,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB141, bitIndex1) | (~v88(constB141, bitIndex1)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21801,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB141, bitIndex1) | (~v88(constB141, bitIndex1))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21800, 21799])).
% 40.16/26.65 tff(21802,plain,
% 40.16/26.65 (~v88(constB141, bitIndex1)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21801, 10784, 21798])).
% 40.16/26.65 tff(21803,plain,
% 40.16/26.65 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB141, bitIndex1) | (~v144(constB141)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB141, bitIndex1) | (~v144(constB141)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21804,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB141, bitIndex1) | (~v144(constB141)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21805,plain,
% 40.16/26.65 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB141, bitIndex1) | (~v144(constB141))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21804, 21803])).
% 40.16/26.65 tff(21806,plain,
% 40.16/26.65 (~v144(constB141)),
% 40.16/26.65 inference(unit_resolution,[status(thm)],[21805, 10868, 21802])).
% 40.16/26.65 tff(21807,plain,
% 40.16/26.65 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v143(constB141)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v143(constB141)))),
% 40.16/26.65 inference(rewrite,[status(thm)],[])).
% 40.16/26.65 tff(21808,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB141, bitIndex2)) | (~v143(constB141)))),
% 40.16/26.65 inference(quant_inst,[status(thm)],[])).
% 40.16/26.65 tff(21809,plain,
% 40.16/26.65 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB141, bitIndex2)) | (~v143(constB141))),
% 40.16/26.65 inference(modus_ponens,[status(thm)],[21808, 21807])).
% 40.16/26.66 tff(21810,plain,
% 40.16/26.66 (~v143(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21809, 10885, 21768])).
% 40.16/26.66 tff(21811,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB141) | v144(constB141) | (~v142(constB141)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB141) | v144(constB141) | (~v142(constB141)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21812,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB141) | v144(constB141) | (~v142(constB141)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21813,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB141) | v144(constB141) | (~v142(constB141))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21812, 21811])).
% 40.16/26.66 tff(21814,plain,
% 40.16/26.66 (~v142(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21813, 10711, 21810, 21806])).
% 40.16/26.66 tff(21815,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB141) | v142(constB141) | (~v166(constB141)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB141) | v142(constB141) | (~v166(constB141)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21816,plain,
% 40.16/26.66 ((v142(constB141) | (~v166(constB141)) | v167(constB141)) <=> (v167(constB141) | v142(constB141) | (~v166(constB141)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21817,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB141) | (~v166(constB141)) | v167(constB141))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB141) | v142(constB141) | (~v166(constB141))))),
% 40.16/26.66 inference(monotonicity,[status(thm)],[21816])).
% 40.16/26.66 tff(21818,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB141) | (~v166(constB141)) | v167(constB141))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB141) | v142(constB141) | (~v166(constB141)))),
% 40.16/26.66 inference(transitivity,[status(thm)],[21817, 21815])).
% 40.16/26.66 tff(21819,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB141) | (~v166(constB141)) | v167(constB141))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21820,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB141) | v142(constB141) | (~v166(constB141))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21819, 21818])).
% 40.16/26.66 tff(21821,plain,
% 40.16/26.66 (~v166(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21820, 10725, 21814, 21792])).
% 40.16/26.66 tff(21822,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB141) | v166(constB141))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB141) | v166(constB141))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21823,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB141) | v166(constB141))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21824,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB141) | v166(constB141)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21823, 21822])).
% 40.16/26.66 tff(21825,plain,
% 40.16/26.66 (v148(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21824, 10739, 21821])).
% 40.16/26.66 tff(21826,plain,
% 40.16/26.66 (~v130(constB139, bitIndex0)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18413, 1486, 18343])).
% 40.16/26.66 tff(21827,plain,
% 40.16/26.66 (~v127(constB139, bitIndex0)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18421, 21826])).
% 40.16/26.66 tff(21828,plain,
% 40.16/26.66 (~v129(constB140, bitIndex0)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18426, 21827])).
% 40.16/26.66 tff(21829,plain,
% 40.16/26.66 ((~v90(constB140, bitIndex0)) | (~v100(constB140))),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18433, 977, 21828])).
% 40.16/26.66 tff(21830,plain,
% 40.16/26.66 (~v90(constB140, bitIndex0)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21829, 21758])).
% 40.16/26.66 tff(21831,plain,
% 40.16/26.66 (~v90(constB141, bitIndex0)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18461, 21830])).
% 40.16/26.66 tff(21832,plain,
% 40.16/26.66 (((~![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)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21833,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB141, bitIndex0) | (~v88(constB141, bitIndex0)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21834,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB141, bitIndex0) | (~v88(constB141, bitIndex0))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21833, 21832])).
% 40.16/26.66 tff(21835,plain,
% 40.16/26.66 (~v88(constB141, bitIndex0)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21834, 14645, 21831])).
% 40.16/26.66 tff(21836,plain,
% 40.16/26.66 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v146(constB141))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v146(constB141))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21837,plain,
% 40.16/26.66 (((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | v146(constB141)) <=> (v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v146(constB141))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21838,plain,
% 40.16/26.66 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | v146(constB141))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v146(constB141)))),
% 40.16/26.66 inference(monotonicity,[status(thm)],[21837])).
% 40.16/26.66 tff(21839,plain,
% 40.16/26.66 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | v146(constB141))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v146(constB141))),
% 40.16/26.66 inference(transitivity,[status(thm)],[21838, 21836])).
% 40.16/26.66 tff(21840,plain,
% 40.16/26.66 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0) | v146(constB141))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21841,plain,
% 40.16/26.66 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB141, bitIndex0) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v146(constB141)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21840, 21839])).
% 40.16/26.66 tff(21842,plain,
% 40.16/26.66 (v146(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21841, 14659, 21768, 21835, 21802])).
% 40.16/26.66 tff(21843,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB141) | (~v146(constB141)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB141) | (~v146(constB141)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21844,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB141) | (~v146(constB141)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21845,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB141) | (~v146(constB141))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21844, 21843])).
% 40.16/26.66 tff(21846,plain,
% 40.16/26.66 (v145(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21845, 14673, 21842])).
% 40.16/26.66 tff(21847,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB141) | (~v145(constB141)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB141) | (~v145(constB141)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21848,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB141) | (~v145(constB141)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21849,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB141) | (~v145(constB141))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21848, 21847])).
% 40.16/26.66 tff(21850,plain,
% 40.16/26.66 (v165(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21849, 10823, 21846])).
% 40.16/26.66 tff(21851,plain,
% 40.16/26.66 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB141) | (~v165(constB141)) | (~v148(constB141)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB141) | (~v165(constB141)) | (~v148(constB141)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21852,plain,
% 40.16/26.66 (((~v148(constB141)) | (~v165(constB141)) | v86(constB141)) <=> (v86(constB141) | (~v165(constB141)) | (~v148(constB141)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21853,plain,
% 40.16/26.66 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB141)) | (~v165(constB141)) | v86(constB141))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB141) | (~v165(constB141)) | (~v148(constB141))))),
% 40.16/26.66 inference(monotonicity,[status(thm)],[21852])).
% 40.16/26.66 tff(21854,plain,
% 40.16/26.66 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB141)) | (~v165(constB141)) | v86(constB141))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB141) | (~v165(constB141)) | (~v148(constB141)))),
% 40.16/26.66 inference(transitivity,[status(thm)],[21853, 21851])).
% 40.16/26.66 tff(21855,plain,
% 40.16/26.66 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB141)) | (~v165(constB141)) | v86(constB141))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21856,plain,
% 40.16/26.66 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB141) | (~v165(constB141)) | (~v148(constB141))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21855, 21854])).
% 40.16/26.66 tff(21857,plain,
% 40.16/26.66 (v86(constB141) | (~v148(constB141))),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21856, 10837, 21850])).
% 40.16/26.66 tff(21858,plain,
% 40.16/26.66 (v86(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21857, 21825])).
% 40.16/26.66 tff(21859,assumption,(v18(constB142)), introduced(assumption)).
% 40.16/26.66 tff(21860,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB142))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21861,plain,
% 40.16/26.66 ($false),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21860, 11110, 21859])).
% 40.16/26.66 tff(21862,plain,(~v18(constB142)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.66 tff(21863,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21864,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21865,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21864, 21863])).
% 40.16/26.66 tff(21866,plain,
% 40.16/26.66 (v22(constB142)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21865, 11120, 18507])).
% 40.16/26.66 tff(21867,plain,
% 40.16/26.66 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB142)) | (~v22(constB142)) | v18(constB142))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB142)) | (~v22(constB142)) | v18(constB142))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21868,plain,
% 40.16/26.66 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB142)) | (~v22(constB142)) | v18(constB142))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21869,plain,
% 40.16/26.66 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB142)) | (~v22(constB142)) | v18(constB142)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21868, 21867])).
% 40.16/26.66 tff(21870,plain,
% 40.16/26.66 ((~v19(constB142)) | v18(constB142)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21869, 11134, 21866])).
% 40.16/26.66 tff(21871,plain,
% 40.16/26.66 (~v19(constB142)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21870, 21862])).
% 40.16/26.66 tff(21872,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21873,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21874,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21873, 21872])).
% 40.16/26.66 tff(21875,plain,
% 40.16/26.66 (v13(constB142)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21874, 11149, 21871])).
% 40.16/26.66 tff(21876,plain,
% 40.16/26.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21877,plain,
% 40.16/26.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21878,plain,
% 40.16/26.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21877, 21876])).
% 40.16/26.66 tff(21879,plain,
% 40.16/26.66 ((~v13(constB142)) | v9(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21878, 11163, 18482])).
% 40.16/26.66 tff(21880,plain,
% 40.16/26.66 (v9(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21879, 21875])).
% 40.16/26.66 tff(21881,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v184(constB141))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB141) | (~v9(constB141)) | v184(constB141))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21882,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v184(constB141))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21883,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB141) | (~v9(constB141)) | v184(constB141)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21882, 21881])).
% 40.16/26.66 tff(21884,plain,
% 40.16/26.66 ((~v9(constB141)) | v184(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21883, 11178, 18438])).
% 40.16/26.66 tff(21885,plain,
% 40.16/26.66 (v184(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21884, 21880])).
% 40.16/26.66 tff(21886,plain,
% 40.16/26.66 (^[VarCurr: $i] : refl(((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr)) <=> ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr)))),
% 40.16/26.66 inference(bind,[status(th)],[])).
% 40.16/26.66 tff(21887,plain,
% 40.16/26.66 (![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))),
% 40.16/26.66 inference(quant_intro,[status(thm)],[21886])).
% 40.16/26.66 tff(21888,plain,
% 40.16/26.66 (![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21889,plain,
% 40.16/26.66 (^[VarCurr: $i] : rewrite(((v200(VarCurr) | (~v184(VarCurr))) | (~v86(VarCurr))) <=> ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr)))),
% 40.16/26.66 inference(bind,[status(th)],[])).
% 40.16/26.66 tff(21890,plain,
% 40.16/26.66 (![VarCurr: $i] : ((v200(VarCurr) | (~v184(VarCurr))) | (~v86(VarCurr))) <=> ![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))),
% 40.16/26.66 inference(quant_intro,[status(thm)],[21889])).
% 40.16/26.66 tff(21891,axiom,(![VarCurr: $i] : ((v200(VarCurr) | (~v184(VarCurr))) | (~v86(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_1_1')).
% 40.16/26.66 tff(21892,plain,
% 40.16/26.66 (![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21891, 21890])).
% 40.16/26.66 tff(21893,plain,
% 40.16/26.66 (![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21892, 21888])).
% 40.16/26.66 tff(21894,plain,(
% 40.16/26.66 ![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))),
% 40.16/26.66 inference(skolemize,[status(sab)],[21893])).
% 40.16/26.66 tff(21895,plain,
% 40.16/26.66 (![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21894, 21887])).
% 40.16/26.66 tff(21896,plain,
% 40.16/26.66 (((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))) | ((~v86(constB141)) | v200(constB141) | (~v184(constB141)))) <=> ((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))) | (~v86(constB141)) | v200(constB141) | (~v184(constB141)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21897,plain,
% 40.16/26.66 (((~v184(constB141)) | (~v86(constB141)) | v200(constB141)) <=> ((~v86(constB141)) | v200(constB141) | (~v184(constB141)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21898,plain,
% 40.16/26.66 (((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))) | ((~v184(constB141)) | (~v86(constB141)) | v200(constB141))) <=> ((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))) | ((~v86(constB141)) | v200(constB141) | (~v184(constB141))))),
% 40.16/26.66 inference(monotonicity,[status(thm)],[21897])).
% 40.16/26.66 tff(21899,plain,
% 40.16/26.66 (((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))) | ((~v184(constB141)) | (~v86(constB141)) | v200(constB141))) <=> ((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))) | (~v86(constB141)) | v200(constB141) | (~v184(constB141)))),
% 40.16/26.66 inference(transitivity,[status(thm)],[21898, 21896])).
% 40.16/26.66 tff(21900,plain,
% 40.16/26.66 ((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))) | ((~v184(constB141)) | (~v86(constB141)) | v200(constB141))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21901,plain,
% 40.16/26.66 ((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v86(VarCurr)) | v200(VarCurr))) | (~v86(constB141)) | v200(constB141) | (~v184(constB141))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21900, 21899])).
% 40.16/26.66 tff(21902,plain,
% 40.16/26.66 ((~v86(constB141)) | v200(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21901, 21895, 21885])).
% 40.16/26.66 tff(21903,plain,
% 40.16/26.66 (v200(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21902, 21858])).
% 40.16/26.66 tff(21904,plain,
% 40.16/26.66 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr)) <=> (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr)))),
% 40.16/26.66 inference(bind,[status(th)],[])).
% 40.16/26.66 tff(21905,plain,
% 40.16/26.66 (![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))),
% 40.16/26.66 inference(quant_intro,[status(thm)],[21904])).
% 40.16/26.66 tff(21906,plain,
% 40.16/26.66 (![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21907,plain,
% 40.16/26.66 (^[VarCurr: $i] : rewrite(((v199(VarCurr) | (~v200(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr)))),
% 40.16/26.66 inference(bind,[status(th)],[])).
% 40.16/26.66 tff(21908,plain,
% 40.16/26.66 (![VarCurr: $i] : ((v199(VarCurr) | (~v200(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))),
% 40.16/26.66 inference(quant_intro,[status(thm)],[21907])).
% 40.16/26.66 tff(21909,axiom,(![VarCurr: $i] : ((v199(VarCurr) | (~v200(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1')).
% 40.16/26.66 tff(21910,plain,
% 40.16/26.66 (![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21909, 21908])).
% 40.16/26.66 tff(21911,plain,
% 40.16/26.66 (![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21910, 21906])).
% 40.16/26.66 tff(21912,plain,(
% 40.16/26.66 ![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))),
% 40.16/26.66 inference(skolemize,[status(sab)],[21911])).
% 40.16/26.66 tff(21913,plain,
% 40.16/26.66 (![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21912, 21905])).
% 40.16/26.66 tff(21914,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))) | (v26(constB141) | (~v200(constB141)) | v199(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))) | v26(constB141) | (~v200(constB141)) | v199(constB141))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21915,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))) | (v26(constB141) | (~v200(constB141)) | v199(constB141))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21916,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v200(VarCurr)) | v199(VarCurr))) | v26(constB141) | (~v200(constB141)) | v199(constB141)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21915, 21914])).
% 40.16/26.66 tff(21917,plain,
% 40.16/26.66 ((~v200(constB141)) | v199(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21916, 21913, 18467])).
% 40.16/26.66 tff(21918,plain,
% 40.16/26.66 (v199(constB141)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21917, 21903])).
% 40.16/26.66 tff(21919,plain,
% 40.16/26.66 (~v130(constB137, bitIndex2)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18220, 1102, 18139])).
% 40.16/26.66 tff(21920,plain,
% 40.16/26.66 (~v127(constB137, bitIndex2)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18232, 21919])).
% 40.16/26.66 tff(21921,plain,
% 40.16/26.66 (~v129(constB138, bitIndex2)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18237, 21920])).
% 40.16/26.66 tff(21922,assumption,(~v113(constB137)), introduced(assumption)).
% 40.16/26.66 tff(21923,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB137) | (~v125(constB137)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB137) | (~v125(constB137)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21924,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB137) | (~v125(constB137)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21925,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB137) | (~v125(constB137))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21924, 21923])).
% 40.16/26.66 tff(21926,plain,
% 40.16/26.66 (~v125(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21925, 1294, 21922])).
% 40.16/26.66 tff(21927,plain,
% 40.16/26.66 (~v114(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18159, 294, 21922])).
% 40.16/26.66 tff(21928,plain,
% 40.16/26.66 (~v115(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18155, 283, 21927])).
% 40.16/26.66 tff(21929,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB137) | (~v123(constB137)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB137) | (~v123(constB137)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21930,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB137) | (~v123(constB137)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21931,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB137) | (~v123(constB137))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21930, 21929])).
% 40.16/26.66 tff(21932,plain,
% 40.16/26.66 (~v123(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21931, 1247, 21928])).
% 40.16/26.66 tff(21933,plain,
% 40.16/26.66 (~v116(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18151, 272, 21928])).
% 40.16/26.66 tff(21934,plain,
% 40.16/26.66 (~v117(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18147, 261, 21933])).
% 40.16/26.66 tff(21935,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB137) | (~v118(constB137)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB137) | (~v118(constB137)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21936,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB137) | (~v118(constB137)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21937,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB137) | (~v118(constB137))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21936, 21935])).
% 40.16/26.66 tff(21938,plain,
% 40.16/26.66 (~v118(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21937, 250, 21934])).
% 40.16/26.66 tff(21939,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB137) | (~v120(constB137)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB137) | (~v120(constB137)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21940,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB137) | (~v120(constB137)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21941,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB137) | (~v120(constB137))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21940, 21939])).
% 40.16/26.66 tff(21942,plain,
% 40.16/26.66 (~v120(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21941, 778, 21938])).
% 40.16/26.66 tff(21943,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB137) | (~v119(constB137)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB137) | (~v119(constB137)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21944,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB137) | (~v119(constB137)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21945,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB137) | (~v119(constB137))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21944, 21943])).
% 40.16/26.66 tff(21946,plain,
% 40.16/26.66 (~v119(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21945, 239, 21938])).
% 40.16/26.66 tff(21947,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB137) | (~v122(constB137)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB137) | (~v122(constB137)))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21948,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB137) | (~v122(constB137)))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21949,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB137) | (~v122(constB137))),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21948, 21947])).
% 40.16/26.66 tff(21950,plain,
% 40.16/26.66 (~v122(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21949, 1149, 21933])).
% 40.16/26.66 tff(21951,plain,
% 40.16/26.66 (~v121(constB137)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18143, 1130, 21934])).
% 40.16/26.66 tff(21952,assumption,(~v90(constB137, bitIndex2)), introduced(assumption)).
% 40.16/26.66 tff(21953,assumption,(~v120(constB137)), introduced(assumption)).
% 40.16/26.66 tff(21954,assumption,(~v119(constB137)), introduced(assumption)).
% 40.16/26.66 tff(21955,assumption,(~v90(constB137, bitIndex1)), introduced(assumption)).
% 40.16/26.66 tff(21956,plain,
% 40.16/26.66 (((~![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))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21957,plain,
% 40.16/26.66 (((~v90(constB137, bitIndex0)) | v120(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2)) <=> ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21958,plain,
% 40.16/26.66 (((~![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)))),
% 40.16/26.66 inference(monotonicity,[status(thm)],[21957])).
% 40.16/26.66 tff(21959,plain,
% 40.16/26.66 (((~![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))),
% 40.16/26.66 inference(transitivity,[status(thm)],[21958, 21956])).
% 40.16/26.66 tff(21960,plain,
% 40.16/26.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v120(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21961,plain,
% 40.16/26.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21960, 21959])).
% 40.16/26.66 tff(21962,plain,
% 40.16/26.66 ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21961, 668, 21953])).
% 40.16/26.66 tff(21963,plain,
% 40.16/26.66 (~v90(constB137, bitIndex0)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21962, 21955, 21952])).
% 40.16/26.66 tff(21964,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB137) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB137) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21965,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB137) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21966,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB137) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21965, 21964])).
% 40.16/26.66 tff(21967,plain,
% 40.16/26.66 (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21966, 228, 21954])).
% 40.16/26.66 tff(21968,plain,
% 40.16/26.66 ($false),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21967, 21963, 21955, 21952])).
% 40.16/26.66 tff(21969,plain,(v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v119(constB137) | v120(constB137)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.66 tff(21970,plain,
% 40.16/26.66 (v90(constB137, bitIndex1)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21969, 21952, 21954, 21953])).
% 40.16/26.66 tff(21971,assumption,(~v122(constB137)), introduced(assumption)).
% 40.16/26.66 tff(21972,plain,
% 40.16/26.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB137, bitIndex0)) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v122(constB137))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB137, bitIndex0)) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v122(constB137))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21973,plain,
% 40.16/26.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB137, bitIndex0)) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v122(constB137))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21974,plain,
% 40.16/26.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB137, bitIndex0)) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v122(constB137)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21973, 21972])).
% 40.16/26.66 tff(21975,plain,
% 40.16/26.66 ((~v90(constB137, bitIndex0)) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21974, 1184, 21971])).
% 40.16/26.66 tff(21976,plain,
% 40.16/26.66 (~v90(constB137, bitIndex0)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21975, 21970, 21952])).
% 40.16/26.66 tff(21977,assumption,(~v121(constB137)), introduced(assumption)).
% 40.16/26.66 tff(21978,plain,
% 40.16/26.66 (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[18138, 996, 21977])).
% 40.16/26.66 tff(21979,plain,
% 40.16/26.66 ($false),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21978, 21976, 21970, 21952])).
% 40.16/26.66 tff(21980,plain,(v90(constB137, bitIndex2) | v121(constB137) | v122(constB137) | v119(constB137) | v120(constB137)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.66 tff(21981,plain,
% 40.16/26.66 (v90(constB137, bitIndex2)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21980, 21951, 21950, 21946, 21942])).
% 40.16/26.66 tff(21982,assumption,(v90(constB137, bitIndex2)), introduced(assumption)).
% 40.16/26.66 tff(21983,assumption,(~v90(constB137, bitIndex0)), introduced(assumption)).
% 40.16/26.66 tff(21984,assumption,(~v125(constB137)), introduced(assumption)).
% 40.16/26.66 tff(21985,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21986,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21987,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137)),
% 40.16/26.66 inference(modus_ponens,[status(thm)],[21986, 21985])).
% 40.16/26.66 tff(21988,plain,
% 40.16/26.66 (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2))),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21987, 1308, 21984])).
% 40.16/26.66 tff(21989,plain,
% 40.16/26.66 (~v90(constB137, bitIndex1)),
% 40.16/26.66 inference(unit_resolution,[status(thm)],[21988, 21983, 21982])).
% 40.16/26.66 tff(21990,assumption,(~v123(constB137)), introduced(assumption)).
% 40.16/26.66 tff(21991,plain,
% 40.16/26.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137))),
% 40.16/26.66 inference(rewrite,[status(thm)],[])).
% 40.16/26.66 tff(21992,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137))),
% 40.16/26.66 inference(quant_inst,[status(thm)],[])).
% 40.16/26.66 tff(21993,plain,
% 40.16/26.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137)),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[21992, 21991])).
% 40.16/26.67 tff(21994,plain,
% 40.16/26.67 (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2))),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[21993, 1280, 21990])).
% 40.16/26.67 tff(21995,plain,
% 40.16/26.67 ($false),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[21994, 21989, 21983, 21982])).
% 40.16/26.67 tff(21996,plain,(v90(constB137, bitIndex0) | (~v90(constB137, bitIndex2)) | v123(constB137) | v125(constB137)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.67 tff(21997,plain,
% 40.16/26.67 (v90(constB137, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[21996, 21981, 21932, 21926])).
% 40.16/26.67 tff(21998,plain,
% 40.16/26.67 (v90(constB136, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18134, 21997])).
% 40.16/26.67 tff(21999,plain,
% 40.16/26.67 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB137) | (~v124(constB137)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB137) | (~v124(constB137)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22000,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB137) | (~v124(constB137)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22001,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB137) | (~v124(constB137))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22000, 21999])).
% 40.16/26.67 tff(22002,plain,
% 40.16/26.67 (~v124(constB137)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22001, 1236, 21927])).
% 40.16/26.67 tff(22003,plain,
% 40.16/26.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v124(constB137))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v124(constB137))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22004,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v124(constB137))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22005,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v124(constB137)),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22004, 22003])).
% 40.16/26.67 tff(22006,plain,
% 40.16/26.67 ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2))),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22005, 1264, 22002])).
% 40.16/26.67 tff(22007,plain,
% 40.16/26.67 (v90(constB137, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22006, 21997, 21981])).
% 40.16/26.67 tff(22008,plain,
% 40.16/26.67 (((~![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)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22009,plain,
% 40.16/26.67 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22010,plain,
% 40.16/26.67 (((~![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))))),
% 40.16/26.67 inference(monotonicity,[status(thm)],[22009])).
% 40.16/26.67 tff(22011,plain,
% 40.16/26.67 (((~![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)))),
% 40.16/26.67 inference(transitivity,[status(thm)],[22010, 22008])).
% 40.16/26.67 tff(22012,plain,
% 40.16/26.67 ((~![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)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22013,plain,
% 40.16/26.67 ((~![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))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22012, 22011])).
% 40.16/26.67 tff(22014,plain,
% 40.16/26.67 (v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1))),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22013, 186, 18049])).
% 40.16/26.67 tff(22015,plain,
% 40.16/26.67 (v90(constB136, bitIndex1) | (~v90(constB137, bitIndex1))),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22014, 18061])).
% 40.16/26.67 tff(22016,plain,
% 40.16/26.67 (v90(constB136, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22015, 22007])).
% 40.16/26.67 tff(22017,plain,
% 40.16/26.67 (v100(constB136)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18011, 22016, 17674, 17500, 21998])).
% 40.16/26.67 tff(22018,plain,
% 40.16/26.67 (v90(constB136, bitIndex2)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18069, 21981])).
% 40.16/26.67 tff(22019,plain,
% 40.16/26.67 (v129(constB136, bitIndex2) | (~v100(constB136))),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18041, 468, 22018])).
% 40.16/26.67 tff(22020,plain,
% 40.16/26.67 (v129(constB136, bitIndex2)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22019, 22017])).
% 40.16/26.67 tff(22021,plain,
% 40.16/26.67 (v127(constB135, bitIndex2)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[17771, 22020])).
% 40.16/26.67 tff(22022,plain,
% 40.16/26.67 (v130(constB135, bitIndex2)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[17763, 22021])).
% 40.16/26.67 tff(22023,plain,
% 40.16/26.67 (~v120(constB135)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[17751, 685, 22022])).
% 40.16/26.67 tff(22024,plain,
% 40.16/26.67 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB135)) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB135)) | (~v130(constB135, bitIndex2)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22025,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB135)) | (~v130(constB135, bitIndex2)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22026,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB135)) | (~v130(constB135, bitIndex2))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22025, 22024])).
% 40.16/26.67 tff(22027,plain,
% 40.16/26.67 (~v121(constB135)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22026, 1102, 22022])).
% 40.16/26.67 tff(22028,plain,
% 40.16/26.67 (v129(constB136, bitIndex0) | (~v100(constB136))),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18124, 977, 21998])).
% 40.16/26.67 tff(22029,plain,
% 40.16/26.67 (v129(constB136, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22028, 22017])).
% 40.16/26.67 tff(22030,plain,
% 40.16/26.67 (v127(constB135, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18117, 22029])).
% 40.16/26.67 tff(22031,plain,
% 40.16/26.67 (v130(constB135, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18112, 22030])).
% 40.16/26.67 tff(22032,plain,
% 40.16/26.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB135)) | (~v130(constB135, bitIndex0)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22033,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB135)) | (~v130(constB135, bitIndex0)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22034,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB135)) | (~v130(constB135, bitIndex0))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22033, 22032])).
% 40.16/26.67 tff(22035,plain,
% 40.16/26.67 (~v122(constB135)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22034, 1486, 22031])).
% 40.16/26.67 tff(22036,plain,
% 40.16/26.67 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB135)) | (~v130(constB135, bitIndex0)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22037,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB135)) | (~v130(constB135, bitIndex0)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22038,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB135)) | (~v130(constB135, bitIndex0))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22037, 22036])).
% 40.16/26.67 tff(22039,plain,
% 40.16/26.67 (~v124(constB135)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22038, 1519, 22031])).
% 40.16/26.67 tff(22040,plain,
% 40.16/26.67 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB135)) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB135)) | (~v130(constB135, bitIndex2)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22041,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB135)) | (~v130(constB135, bitIndex2)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22042,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB135)) | (~v130(constB135, bitIndex2))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22041, 22040])).
% 40.16/26.67 tff(22043,plain,
% 40.16/26.67 (~v119(constB135)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22042, 421, 22022])).
% 40.16/26.67 tff(22044,plain,
% 40.16/26.67 (((~![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)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22045,plain,
% 40.16/26.67 (((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22046,plain,
% 40.16/26.67 (((~![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))))),
% 40.16/26.67 inference(monotonicity,[status(thm)],[22045])).
% 40.16/26.67 tff(22047,plain,
% 40.16/26.67 (((~![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)))),
% 40.16/26.67 inference(transitivity,[status(thm)],[22046, 22044])).
% 40.16/26.67 tff(22048,plain,
% 40.16/26.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22049,plain,
% 40.16/26.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22048, 22047])).
% 40.16/26.67 tff(22050,plain,
% 40.16/26.67 (v129(constB136, bitIndex1) | (~v100(constB136))),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22049, 560, 22016])).
% 40.16/26.67 tff(22051,plain,
% 40.16/26.67 (v129(constB136, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22050, 22017])).
% 40.16/26.67 tff(22052,plain,
% 40.16/26.67 (((~![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)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22053,plain,
% 40.16/26.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22054,plain,
% 40.16/26.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22053, 22052])).
% 40.16/26.67 tff(22055,plain,
% 40.16/26.67 (v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1))),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22054, 545, 17767])).
% 40.16/26.67 tff(22056,plain,
% 40.16/26.67 (v127(constB135, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22055, 22051])).
% 40.16/26.67 tff(22057,plain,
% 40.16/26.67 (((~![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))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22058,plain,
% 40.16/26.67 ((v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1))) <=> ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22059,plain,
% 40.16/26.67 (((~![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)))),
% 40.16/26.67 inference(monotonicity,[status(thm)],[22058])).
% 40.16/26.67 tff(22060,plain,
% 40.16/26.67 (((~![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))),
% 40.16/26.67 inference(transitivity,[status(thm)],[22059, 22057])).
% 40.16/26.67 tff(22061,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22062,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1)),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22061, 22060])).
% 40.16/26.67 tff(22063,plain,
% 40.16/26.67 ((~v127(constB135, bitIndex1)) | v130(constB135, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22062, 527, 17756])).
% 40.16/26.67 tff(22064,plain,
% 40.16/26.67 (v130(constB135, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22063, 22056])).
% 40.16/26.67 tff(22065,plain,
% 40.16/26.67 (((~![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)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22066,plain,
% 40.16/26.67 ((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)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22067,plain,
% 40.16/26.67 (((~![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))))),
% 40.16/26.67 inference(monotonicity,[status(thm)],[22066])).
% 40.16/26.67 tff(22068,plain,
% 40.16/26.67 (((~![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)))),
% 40.16/26.67 inference(transitivity,[status(thm)],[22067, 22065])).
% 40.16/26.67 tff(22069,plain,
% 40.16/26.67 ((~![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)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22070,plain,
% 40.16/26.67 ((~![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))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22069, 22068])).
% 40.16/26.67 tff(22071,plain,
% 40.16/26.67 (v123(constB135)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22070, 1562, 22064, 22043, 22039, 22035, 22027, 22023])).
% 40.16/26.67 tff(22072,plain,
% 40.16/26.67 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB135)) | (~v130(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB135)) | (~v130(constB135, bitIndex1)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22073,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB135)) | (~v130(constB135, bitIndex1)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22074,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB135)) | (~v130(constB135, bitIndex1))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22073, 22072])).
% 40.16/26.67 tff(22075,plain,
% 40.16/26.67 ($false),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22074, 1579, 22064, 22071])).
% 40.16/26.67 tff(22076,plain,(v113(constB137) | v90(constB133, bitIndex0) | v130(constB133, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 40.16/26.67 tff(22077,plain,
% 40.16/26.67 (v113(constB137)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22076, 17498, 17342])).
% 40.16/26.67 tff(22078,plain,
% 40.16/26.67 (v108(constB137)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18179, 22077])).
% 40.16/26.67 tff(22079,plain,
% 40.16/26.67 (v110(constB138)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18190, 22078])).
% 40.16/26.67 tff(22080,plain,
% 40.16/26.67 (v100(constB138)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18216, 22079])).
% 40.16/26.67 tff(22081,plain,
% 40.16/26.67 ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18244, 468, 22080])).
% 40.16/26.67 tff(22082,plain,
% 40.16/26.67 (~v90(constB138, bitIndex2)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22081, 21921])).
% 40.16/26.67 tff(22083,plain,
% 40.16/26.67 (~v90(constB139, bitIndex2)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18272, 22082])).
% 40.16/26.67 tff(22084,plain,
% 40.16/26.67 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))))),
% 40.16/26.67 inference(bind,[status(th)],[])).
% 40.16/26.67 tff(22085,plain,
% 40.16/26.67 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 40.16/26.67 inference(quant_intro,[status(thm)],[22084])).
% 40.16/26.67 tff(22086,plain,
% 40.16/26.67 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22087,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 40.16/26.67 tff(22088,plain,
% 40.16/26.67 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22087, 22086])).
% 40.16/26.67 tff(22089,plain,(
% 40.16/26.67 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 40.16/26.67 inference(skolemize,[status(sab)],[22088])).
% 40.16/26.67 tff(22090,plain,
% 40.16/26.67 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22089, 22085])).
% 40.16/26.67 tff(22091,plain,
% 40.16/26.67 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22092,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22093,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22092, 22091])).
% 40.16/26.67 tff(22094,plain,
% 40.16/26.67 (~v88(constB139, bitIndex2)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22093, 22090, 22083])).
% 40.16/26.67 tff(22095,plain,
% 40.16/26.67 (v130(constB137, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18307, 1717, 18139])).
% 40.16/26.67 tff(22096,plain,
% 40.16/26.67 (v127(constB137, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18312, 22095])).
% 40.16/26.67 tff(22097,plain,
% 40.16/26.67 (v129(constB138, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18317, 22096])).
% 40.16/26.67 tff(22098,plain,
% 40.16/26.67 (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1))),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18324, 912, 22080])).
% 40.16/26.67 tff(22099,plain,
% 40.16/26.67 (v90(constB138, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22098, 22097])).
% 40.16/26.67 tff(22100,plain,
% 40.16/26.67 (v90(constB139, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18334, 22099])).
% 40.16/26.67 tff(22101,plain,
% 40.16/26.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22102,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22103,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1)),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 40.16/26.67 tff(22104,plain,
% 40.16/26.67 (v88(constB139, bitIndex1)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22103, 21131, 22100])).
% 40.16/26.67 tff(22105,plain,
% 40.16/26.67 (v130(constB137, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18276, 1758, 18139])).
% 40.16/26.67 tff(22106,plain,
% 40.16/26.67 (v127(constB137, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18281, 22105])).
% 40.16/26.67 tff(22107,plain,
% 40.16/26.67 (v129(constB138, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18286, 22106])).
% 40.16/26.67 tff(22108,plain,
% 40.16/26.67 (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0))),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18293, 631, 22080])).
% 40.16/26.67 tff(22109,plain,
% 40.16/26.67 (v90(constB138, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22108, 22107])).
% 40.16/26.67 tff(22110,plain,
% 40.16/26.67 (v90(constB139, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[18303, 22109])).
% 40.16/26.67 tff(22111,plain,
% 40.16/26.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22112,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22113,plain,
% 40.16/26.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0)),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22112, 22111])).
% 40.16/26.67 tff(22114,plain,
% 40.16/26.67 (v88(constB139, bitIndex0)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22113, 10622, 22110])).
% 40.16/26.67 tff(22115,plain,
% 40.16/26.67 (^[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)))),
% 40.16/26.67 inference(bind,[status(th)],[])).
% 40.16/26.67 tff(22116,plain,
% 40.16/26.67 (![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))),
% 40.16/26.67 inference(quant_intro,[status(thm)],[22115])).
% 40.16/26.67 tff(22117,plain,
% 40.16/26.67 (![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))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22118,plain,
% 40.16/26.67 (^[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))))),
% 40.16/26.67 inference(bind,[status(th)],[])).
% 40.16/26.67 tff(22119,plain,
% 40.16/26.67 (![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))),
% 40.16/26.67 inference(quant_intro,[status(thm)],[22118])).
% 40.16/26.67 tff(22120,axiom,(![VarCurr: $i] : (((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 40.16/26.67 tff(22121,plain,
% 40.16/26.67 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22120, 22119])).
% 40.16/26.67 tff(22122,plain,
% 40.16/26.67 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22121, 22117])).
% 40.16/26.67 tff(22123,plain,(
% 40.16/26.67 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 40.16/26.67 inference(skolemize,[status(sab)],[22122])).
% 40.16/26.67 tff(22124,plain,
% 40.16/26.67 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22123, 22116])).
% 40.16/26.67 tff(22125,plain,
% 40.16/26.67 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22126,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22127,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139)),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22126, 22125])).
% 40.16/26.67 tff(22128,plain,
% 40.16/26.67 (v141(constB139)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22127, 22124, 22114, 22104, 22094])).
% 40.16/26.67 tff(22129,plain,
% 40.16/26.67 (^[VarCurr: $i] : refl((v167(VarCurr) | (~v141(VarCurr))) <=> (v167(VarCurr) | (~v141(VarCurr))))),
% 40.16/26.67 inference(bind,[status(th)],[])).
% 40.16/26.67 tff(22130,plain,
% 40.16/26.67 (![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr)))),
% 40.16/26.67 inference(quant_intro,[status(thm)],[22129])).
% 40.16/26.67 tff(22131,plain,
% 40.16/26.67 (![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22132,axiom,(![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 40.16/26.67 tff(22133,plain,
% 40.16/26.67 (![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr)))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22132, 22131])).
% 40.16/26.67 tff(22134,plain,(
% 40.16/26.67 ![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr)))),
% 40.16/26.67 inference(skolemize,[status(sab)],[22133])).
% 40.16/26.67 tff(22135,plain,
% 40.16/26.67 (![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr)))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22134, 22130])).
% 40.16/26.67 tff(22136,plain,
% 40.16/26.67 (((~![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr)))) | (v167(constB139) | (~v141(constB139)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr)))) | v167(constB139) | (~v141(constB139)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22137,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr)))) | (v167(constB139) | (~v141(constB139)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22138,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v167(VarCurr) | (~v141(VarCurr)))) | v167(constB139) | (~v141(constB139))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22137, 22136])).
% 40.16/26.67 tff(22139,plain,
% 40.16/26.67 (v167(constB139)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22138, 22135, 22128])).
% 40.16/26.67 tff(22140,plain,
% 40.16/26.67 (^[VarCurr: $i] : refl((v166(VarCurr) | (~v167(VarCurr))) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 40.16/26.67 inference(bind,[status(th)],[])).
% 40.16/26.67 tff(22141,plain,
% 40.16/26.67 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 40.16/26.67 inference(quant_intro,[status(thm)],[22140])).
% 40.16/26.67 tff(22142,plain,
% 40.16/26.67 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22143,axiom,(![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_1')).
% 40.16/26.67 tff(22144,plain,
% 40.16/26.67 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22143, 22142])).
% 40.16/26.67 tff(22145,plain,(
% 40.16/26.67 ![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 40.16/26.67 inference(skolemize,[status(sab)],[22144])).
% 40.16/26.67 tff(22146,plain,
% 40.16/26.67 (![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22145, 22141])).
% 40.16/26.67 tff(22147,plain,
% 40.16/26.67 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22148,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22149,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22148, 22147])).
% 40.16/26.67 tff(22150,plain,
% 40.16/26.67 (v166(constB139)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22149, 22146, 22139])).
% 40.16/26.67 tff(22151,plain,
% 40.16/26.67 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB139) | (~v166(constB139)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB139) | (~v166(constB139)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22152,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB139) | (~v166(constB139)))),
% 40.16/26.67 inference(quant_inst,[status(thm)],[])).
% 40.16/26.67 tff(22153,plain,
% 40.16/26.67 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB139) | (~v166(constB139))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22152, 22151])).
% 40.16/26.67 tff(22154,plain,
% 40.16/26.67 (v165(constB139)),
% 40.16/26.67 inference(unit_resolution,[status(thm)],[22153, 21181, 22150])).
% 40.16/26.67 tff(22155,plain,
% 40.16/26.67 (^[VarCurr: $i] : refl((v169(VarCurr) | (~v141(VarCurr))) <=> (v169(VarCurr) | (~v141(VarCurr))))),
% 40.16/26.67 inference(bind,[status(th)],[])).
% 40.16/26.67 tff(22156,plain,
% 40.16/26.67 (![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr)))),
% 40.16/26.67 inference(quant_intro,[status(thm)],[22155])).
% 40.16/26.67 tff(22157,plain,
% 40.16/26.67 (![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr)))),
% 40.16/26.67 inference(rewrite,[status(thm)],[])).
% 40.16/26.67 tff(22158,axiom,(![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_3_1_1')).
% 40.16/26.67 tff(22159,plain,
% 40.16/26.67 (![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr)))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22158, 22157])).
% 40.16/26.67 tff(22160,plain,(
% 40.16/26.67 ![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr)))),
% 40.16/26.67 inference(skolemize,[status(sab)],[22159])).
% 40.16/26.67 tff(22161,plain,
% 40.16/26.67 (![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr)))),
% 40.16/26.67 inference(modus_ponens,[status(thm)],[22160, 22156])).
% 40.16/26.68 tff(22162,plain,
% 40.16/26.68 (((~![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr)))) | (v169(constB139) | (~v141(constB139)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr)))) | v169(constB139) | (~v141(constB139)))),
% 40.16/26.68 inference(rewrite,[status(thm)],[])).
% 40.16/26.68 tff(22163,plain,
% 40.16/26.68 ((~![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr)))) | (v169(constB139) | (~v141(constB139)))),
% 40.16/26.68 inference(quant_inst,[status(thm)],[])).
% 40.16/26.68 tff(22164,plain,
% 40.16/26.68 ((~![VarCurr: $i] : (v169(VarCurr) | (~v141(VarCurr)))) | v169(constB139) | (~v141(constB139))),
% 40.16/26.68 inference(modus_ponens,[status(thm)],[22163, 22162])).
% 40.16/26.68 tff(22165,plain,
% 40.16/26.68 (v169(constB139)),
% 40.16/26.68 inference(unit_resolution,[status(thm)],[22164, 22161, 22128])).
% 40.16/26.68 tff(22166,plain,
% 40.16/26.68 (^[VarNext: $i] : refl(((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext)) <=> ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext)))),
% 40.16/26.68 inference(bind,[status(th)],[])).
% 40.16/26.68 tff(22167,plain,
% 40.16/26.68 (![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext)) <=> ![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))),
% 40.16/26.68 inference(quant_intro,[status(thm)],[22166])).
% 40.16/26.68 tff(22168,plain,
% 40.16/26.68 (![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext)) <=> ![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))),
% 40.16/26.68 inference(rewrite,[status(thm)],[])).
% 40.16/26.68 tff(22169,plain,
% 40.16/26.68 (^[VarNext: $i] : rewrite(((v162(VarNext) | (~v169(VarNext))) | (~v165(VarNext))) <=> ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext)))),
% 40.16/26.68 inference(bind,[status(th)],[])).
% 40.16/26.68 tff(22170,plain,
% 40.16/26.68 (![VarNext: $i] : ((v162(VarNext) | (~v169(VarNext))) | (~v165(VarNext))) <=> ![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))),
% 40.16/26.68 inference(quant_intro,[status(thm)],[22169])).
% 40.16/26.68 tff(22171,axiom,(![VarNext: $i] : ((v162(VarNext) | (~v169(VarNext))) | (~v165(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_1')).
% 40.16/26.68 tff(22172,plain,
% 40.16/26.68 (![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))),
% 40.16/26.68 inference(modus_ponens,[status(thm)],[22171, 22170])).
% 40.16/26.68 tff(22173,plain,
% 40.16/26.68 (![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))),
% 40.16/26.68 inference(modus_ponens,[status(thm)],[22172, 22168])).
% 40.16/26.68 tff(22174,plain,(
% 40.16/26.68 ![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))),
% 40.16/26.68 inference(skolemize,[status(sab)],[22173])).
% 40.16/26.68 tff(22175,plain,
% 40.16/26.68 (![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))),
% 40.16/26.68 inference(modus_ponens,[status(thm)],[22174, 22167])).
% 40.16/26.68 tff(22176,plain,
% 40.16/26.68 (((~![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))) | (v162(constB139) | (~v169(constB139)) | (~v165(constB139)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))) | v162(constB139) | (~v169(constB139)) | (~v165(constB139)))),
% 40.16/26.68 inference(rewrite,[status(thm)],[])).
% 40.16/26.68 tff(22177,plain,
% 40.16/26.68 (((~v165(constB139)) | (~v169(constB139)) | v162(constB139)) <=> (v162(constB139) | (~v169(constB139)) | (~v165(constB139)))),
% 40.16/26.68 inference(rewrite,[status(thm)],[])).
% 40.16/26.68 tff(22178,plain,
% 40.16/26.68 (((~![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))) | ((~v165(constB139)) | (~v169(constB139)) | v162(constB139))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))) | (v162(constB139) | (~v169(constB139)) | (~v165(constB139))))),
% 40.16/26.68 inference(monotonicity,[status(thm)],[22177])).
% 40.16/26.68 tff(22179,plain,
% 40.16/26.68 (((~![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))) | ((~v165(constB139)) | (~v169(constB139)) | v162(constB139))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))) | v162(constB139) | (~v169(constB139)) | (~v165(constB139)))),
% 40.16/26.68 inference(transitivity,[status(thm)],[22178, 22176])).
% 40.16/26.68 tff(22180,plain,
% 40.16/26.68 ((~![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))) | ((~v165(constB139)) | (~v169(constB139)) | v162(constB139))),
% 40.16/26.68 inference(quant_inst,[status(thm)],[])).
% 40.16/26.68 tff(22181,plain,
% 40.16/26.68 ((~![VarNext: $i] : ((~v165(VarNext)) | (~v169(VarNext)) | v162(VarNext))) | v162(constB139) | (~v169(constB139)) | (~v165(constB139))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22180, 22179])).
% 40.24/26.68 tff(22182,plain,
% 40.24/26.68 (v162(constB139) | (~v165(constB139))),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22181, 22175, 22165])).
% 40.24/26.68 tff(22183,plain,
% 40.24/26.68 (v162(constB139)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22182, 22154])).
% 40.24/26.68 tff(22184,assumption,(v18(constB140)), introduced(assumption)).
% 40.24/26.68 tff(22185,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB140))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22186,plain,
% 40.24/26.68 ($false),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22185, 11110, 22184])).
% 40.24/26.68 tff(22187,plain,(~v18(constB140)), inference(lemma,lemma(discharge,[]))).
% 40.24/26.68 tff(22188,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22189,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22190,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22189, 22188])).
% 40.24/26.68 tff(22191,plain,
% 40.24/26.68 (v22(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22190, 11120, 18396])).
% 40.24/26.68 tff(22192,plain,
% 40.24/26.68 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB140)) | (~v22(constB140)) | v18(constB140))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB140)) | (~v22(constB140)) | v18(constB140))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22193,plain,
% 40.24/26.68 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB140)) | (~v22(constB140)) | v18(constB140))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22194,plain,
% 40.24/26.68 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB140)) | (~v22(constB140)) | v18(constB140)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22193, 22192])).
% 40.24/26.68 tff(22195,plain,
% 40.24/26.68 ((~v19(constB140)) | v18(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22194, 11134, 22191])).
% 40.24/26.68 tff(22196,plain,
% 40.24/26.68 (~v19(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22195, 22187])).
% 40.24/26.68 tff(22197,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22198,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22199,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22198, 22197])).
% 40.24/26.68 tff(22200,plain,
% 40.24/26.68 (v13(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22199, 11149, 22196])).
% 40.24/26.68 tff(22201,plain,
% 40.24/26.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22202,plain,
% 40.24/26.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22203,plain,
% 40.24/26.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22202, 22201])).
% 40.24/26.68 tff(22204,plain,
% 40.24/26.68 ((~v13(constB140)) | v9(constB139)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22203, 11163, 18376])).
% 40.24/26.68 tff(22205,plain,
% 40.24/26.68 (v9(constB139)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22204, 22200])).
% 40.24/26.68 tff(22206,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v184(constB139))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB139) | (~v9(constB139)) | v184(constB139))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22207,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v184(constB139))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22208,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB139) | (~v9(constB139)) | v184(constB139)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22207, 22206])).
% 40.24/26.68 tff(22209,plain,
% 40.24/26.68 ((~v9(constB139)) | v184(constB139)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22208, 11178, 18249])).
% 40.24/26.68 tff(22210,plain,
% 40.24/26.68 (v184(constB139)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22209, 22205])).
% 40.24/26.68 tff(22211,plain,
% 40.24/26.68 (^[VarCurr: $i] : refl(((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr)) <=> ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr)))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22212,plain,
% 40.24/26.68 (![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr)) <=> ![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22211])).
% 40.24/26.68 tff(22213,plain,
% 40.24/26.68 (![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr)) <=> ![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22214,plain,
% 40.24/26.68 (^[VarCurr: $i] : rewrite(((v187(VarCurr) | (~v184(VarCurr))) | (~v162(VarCurr))) <=> ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr)))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22215,plain,
% 40.24/26.68 (![VarCurr: $i] : ((v187(VarCurr) | (~v184(VarCurr))) | (~v162(VarCurr))) <=> ![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22214])).
% 40.24/26.68 tff(22216,axiom,(![VarCurr: $i] : ((v187(VarCurr) | (~v184(VarCurr))) | (~v162(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_1')).
% 40.24/26.68 tff(22217,plain,
% 40.24/26.68 (![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22216, 22215])).
% 40.24/26.68 tff(22218,plain,
% 40.24/26.68 (![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22217, 22213])).
% 40.24/26.68 tff(22219,plain,(
% 40.24/26.68 ![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))),
% 40.24/26.68 inference(skolemize,[status(sab)],[22218])).
% 40.24/26.68 tff(22220,plain,
% 40.24/26.68 (![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22219, 22212])).
% 40.24/26.68 tff(22221,plain,
% 40.24/26.68 (((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))) | ((~v162(constB139)) | v187(constB139) | (~v184(constB139)))) <=> ((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))) | (~v162(constB139)) | v187(constB139) | (~v184(constB139)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22222,plain,
% 40.24/26.68 (((~v184(constB139)) | (~v162(constB139)) | v187(constB139)) <=> ((~v162(constB139)) | v187(constB139) | (~v184(constB139)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22223,plain,
% 40.24/26.68 (((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))) | ((~v184(constB139)) | (~v162(constB139)) | v187(constB139))) <=> ((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))) | ((~v162(constB139)) | v187(constB139) | (~v184(constB139))))),
% 40.24/26.68 inference(monotonicity,[status(thm)],[22222])).
% 40.24/26.68 tff(22224,plain,
% 40.24/26.68 (((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))) | ((~v184(constB139)) | (~v162(constB139)) | v187(constB139))) <=> ((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))) | (~v162(constB139)) | v187(constB139) | (~v184(constB139)))),
% 40.24/26.68 inference(transitivity,[status(thm)],[22223, 22221])).
% 40.24/26.68 tff(22225,plain,
% 40.24/26.68 ((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))) | ((~v184(constB139)) | (~v162(constB139)) | v187(constB139))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22226,plain,
% 40.24/26.68 ((~![VarCurr: $i] : ((~v184(VarCurr)) | (~v162(VarCurr)) | v187(VarCurr))) | (~v162(constB139)) | v187(constB139) | (~v184(constB139))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22225, 22224])).
% 40.24/26.68 tff(22227,plain,
% 40.24/26.68 ((~v162(constB139)) | v187(constB139)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22226, 22220, 22210])).
% 40.24/26.68 tff(22228,plain,
% 40.24/26.68 (v187(constB139)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22227, 22183])).
% 40.24/26.68 tff(22229,plain,
% 40.24/26.68 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr)) <=> (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr)))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22230,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22229])).
% 40.24/26.68 tff(22231,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22232,plain,
% 40.24/26.68 (^[VarCurr: $i] : rewrite(((v185(VarCurr) | (~v187(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr)))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22233,plain,
% 40.24/26.68 (![VarCurr: $i] : ((v185(VarCurr) | (~v187(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22232])).
% 40.24/26.68 tff(22234,axiom,(![VarCurr: $i] : ((v185(VarCurr) | (~v187(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_1')).
% 40.24/26.68 tff(22235,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22234, 22233])).
% 40.24/26.68 tff(22236,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22235, 22231])).
% 40.24/26.68 tff(22237,plain,(
% 40.24/26.68 ![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))),
% 40.24/26.68 inference(skolemize,[status(sab)],[22236])).
% 40.24/26.68 tff(22238,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22237, 22230])).
% 40.24/26.68 tff(22239,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))) | (v26(constB139) | v185(constB139) | (~v187(constB139)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))) | v26(constB139) | v185(constB139) | (~v187(constB139)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22240,plain,
% 40.24/26.68 ((v26(constB139) | (~v187(constB139)) | v185(constB139)) <=> (v26(constB139) | v185(constB139) | (~v187(constB139)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22241,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))) | (v26(constB139) | (~v187(constB139)) | v185(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))) | (v26(constB139) | v185(constB139) | (~v187(constB139))))),
% 40.24/26.68 inference(monotonicity,[status(thm)],[22240])).
% 40.24/26.68 tff(22242,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))) | (v26(constB139) | (~v187(constB139)) | v185(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))) | v26(constB139) | v185(constB139) | (~v187(constB139)))),
% 40.24/26.68 inference(transitivity,[status(thm)],[22241, 22239])).
% 40.24/26.68 tff(22243,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))) | (v26(constB139) | (~v187(constB139)) | v185(constB139))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22244,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v187(VarCurr)) | v185(VarCurr))) | v26(constB139) | v185(constB139) | (~v187(constB139))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22243, 22242])).
% 40.24/26.68 tff(22245,plain,
% 40.24/26.68 (v185(constB139) | (~v187(constB139))),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22244, 22238, 18364])).
% 40.24/26.68 tff(22246,plain,
% 40.24/26.68 (v185(constB139)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22245, 22228])).
% 40.24/26.68 tff(22247,plain,
% 40.24/26.68 (^[VarCurr: $i] : refl((v178(VarCurr) | (~v185(VarCurr))) <=> (v178(VarCurr) | (~v185(VarCurr))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22248,plain,
% 40.24/26.68 (![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr)))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22247])).
% 40.24/26.68 tff(22249,plain,
% 40.24/26.68 (![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22250,axiom,(![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_1')).
% 40.24/26.68 tff(22251,plain,
% 40.24/26.68 (![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22250, 22249])).
% 40.24/26.68 tff(22252,plain,(
% 40.24/26.68 ![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr)))),
% 40.24/26.68 inference(skolemize,[status(sab)],[22251])).
% 40.24/26.68 tff(22253,plain,
% 40.24/26.68 (![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22252, 22248])).
% 40.24/26.68 tff(22254,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr)))) | (v178(constB139) | (~v185(constB139)))) <=> ((~![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr)))) | v178(constB139) | (~v185(constB139)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22255,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr)))) | (v178(constB139) | (~v185(constB139)))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22256,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v178(VarCurr) | (~v185(VarCurr)))) | v178(constB139) | (~v185(constB139))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22255, 22254])).
% 40.24/26.68 tff(22257,plain,
% 40.24/26.68 (v178(constB139)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22256, 22253, 22246])).
% 40.24/26.68 tff(22258,plain,
% 40.24/26.68 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext)))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22259,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22258])).
% 40.24/26.68 tff(22260,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22261,plain,
% 40.24/26.68 (^[VarNext: $i, VarCurr: $i] : rewrite(((v180(VarNext) | (~v178(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext)))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22262,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((v180(VarNext) | (~v178(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22261])).
% 40.24/26.68 tff(22263,axiom,(![VarNext: $i, VarCurr: $i] : ((v180(VarNext) | (~v178(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_11_1_1')).
% 40.24/26.68 tff(22264,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22263, 22262])).
% 40.24/26.68 tff(22265,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22264, 22260])).
% 40.24/26.68 tff(22266,plain,(
% 40.24/26.68 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))),
% 40.24/26.68 inference(skolemize,[status(sab)],[22265])).
% 40.24/26.68 tff(22267,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22266, 22259])).
% 40.24/26.68 tff(22268,plain,
% 40.24/26.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))) | ((~nextState(constB139, constB140)) | (~v178(constB139)) | v180(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))) | (~nextState(constB139, constB140)) | (~v178(constB139)) | v180(constB140))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22269,plain,
% 40.24/26.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))) | ((~nextState(constB139, constB140)) | (~v178(constB139)) | v180(constB140))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22270,plain,
% 40.24/26.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))) | (~nextState(constB139, constB140)) | (~v178(constB139)) | v180(constB140)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22269, 22268])).
% 40.24/26.68 tff(22271,plain,
% 40.24/26.68 ((~v178(constB139)) | v180(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22270, 22267, 18376])).
% 40.24/26.68 tff(22272,plain,
% 40.24/26.68 (v180(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22271, 22257])).
% 40.24/26.68 tff(22273,assumption,(v71(constB141)), introduced(assumption)).
% 40.24/26.68 tff(22274,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB141))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22275,plain,
% 40.24/26.68 ($false),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22274, 15383, 22273])).
% 40.24/26.68 tff(22276,plain,(~v71(constB141)), inference(lemma,lemma(discharge,[]))).
% 40.24/26.68 tff(22277,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB141) | (~v9(constB141)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB141) | (~v9(constB141)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22278,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB141) | (~v9(constB141)))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22279,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB141) | (~v9(constB141))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22278, 22277])).
% 40.24/26.68 tff(22280,plain,
% 40.24/26.68 (v80(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22279, 15393, 21880])).
% 40.24/26.68 tff(22281,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB141) | v78(constB141))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB141) | v78(constB141))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22282,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB141) | v78(constB141))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22283,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB141) | v78(constB141)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22282, 22281])).
% 40.24/26.68 tff(22284,plain,
% 40.24/26.68 (v78(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22283, 15407, 18438])).
% 40.24/26.68 tff(22285,plain,
% 40.24/26.68 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB141)) | (~v80(constB141)) | v76(constB141))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB141)) | (~v80(constB141)) | v76(constB141))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22286,plain,
% 40.24/26.68 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB141)) | (~v80(constB141)) | v76(constB141))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22287,plain,
% 40.24/26.68 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB141)) | (~v80(constB141)) | v76(constB141)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22286, 22285])).
% 40.24/26.68 tff(22288,plain,
% 40.24/26.68 ((~v80(constB141)) | v76(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22287, 15421, 22284])).
% 40.24/26.68 tff(22289,plain,
% 40.24/26.68 (v76(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22288, 22280])).
% 40.24/26.68 tff(22290,plain,
% 40.24/26.68 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB141)) | v71(constB141) | (~v76(constB141)))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB141)) | v71(constB141) | (~v76(constB141)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22291,plain,
% 40.24/26.68 (((~v72(constB141)) | (~v76(constB141)) | v71(constB141)) <=> ((~v72(constB141)) | v71(constB141) | (~v76(constB141)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22292,plain,
% 40.24/26.68 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB141)) | (~v76(constB141)) | v71(constB141))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB141)) | v71(constB141) | (~v76(constB141))))),
% 40.24/26.68 inference(monotonicity,[status(thm)],[22291])).
% 40.24/26.68 tff(22293,plain,
% 40.24/26.68 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB141)) | (~v76(constB141)) | v71(constB141))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB141)) | v71(constB141) | (~v76(constB141)))),
% 40.24/26.68 inference(transitivity,[status(thm)],[22292, 22290])).
% 40.24/26.68 tff(22294,plain,
% 40.24/26.68 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB141)) | (~v76(constB141)) | v71(constB141))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22295,plain,
% 40.24/26.68 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB141)) | v71(constB141) | (~v76(constB141))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22294, 22293])).
% 40.24/26.68 tff(22296,plain,
% 40.24/26.68 ((~v72(constB141)) | v71(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22295, 15436, 22289])).
% 40.24/26.68 tff(22297,plain,
% 40.24/26.68 (~v72(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22296, 22276])).
% 40.24/26.68 tff(22298,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB141) | v72(constB141) | v74(constB141))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB141) | v72(constB141) | v74(constB141))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22299,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB141) | v72(constB141) | v74(constB141))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22300,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB141) | v72(constB141) | v74(constB141)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22299, 22298])).
% 40.24/26.68 tff(22301,plain,
% 40.24/26.68 (v72(constB141) | v74(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22300, 15454, 18438])).
% 40.24/26.68 tff(22302,plain,
% 40.24/26.68 (v74(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22301, 22297])).
% 40.24/26.68 tff(22303,plain,
% 40.24/26.68 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr))) <=> (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22304,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22303])).
% 40.24/26.68 tff(22305,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22306,plain,
% 40.24/26.68 (^[VarCurr: $i] : rewrite(((v26(VarCurr) | (~v60(VarCurr))) | (~v74(VarCurr))) <=> (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22307,plain,
% 40.24/26.68 (![VarCurr: $i] : ((v26(VarCurr) | (~v60(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22306])).
% 40.24/26.68 tff(22308,axiom,(![VarCurr: $i] : ((v26(VarCurr) | (~v60(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_1')).
% 40.24/26.68 tff(22309,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22308, 22307])).
% 40.24/26.68 tff(22310,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22309, 22305])).
% 40.24/26.68 tff(22311,plain,(
% 40.24/26.68 ![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 40.24/26.68 inference(skolemize,[status(sab)],[22310])).
% 40.24/26.68 tff(22312,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22311, 22304])).
% 40.24/26.68 tff(22313,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | (v26(constB141) | (~v60(constB141)) | (~v74(constB141)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | v26(constB141) | (~v60(constB141)) | (~v74(constB141)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22314,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | (v26(constB141) | (~v60(constB141)) | (~v74(constB141)))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22315,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | v26(constB141) | (~v60(constB141)) | (~v74(constB141))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22314, 22313])).
% 40.24/26.68 tff(22316,plain,
% 40.24/26.68 ((~v60(constB141)) | (~v74(constB141))),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22315, 22312, 18467])).
% 40.24/26.68 tff(22317,plain,
% 40.24/26.68 (~v60(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22316, 22302])).
% 40.24/26.68 tff(22318,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB141) | v64(constB141) | (~v9(constB141)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB141) | v64(constB141) | (~v9(constB141)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22319,plain,
% 40.24/26.68 ((v1(constB141) | (~v9(constB141)) | v64(constB141)) <=> (v1(constB141) | v64(constB141) | (~v9(constB141)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22320,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v64(constB141))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB141) | v64(constB141) | (~v9(constB141))))),
% 40.24/26.68 inference(monotonicity,[status(thm)],[22319])).
% 40.24/26.68 tff(22321,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v64(constB141))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB141) | v64(constB141) | (~v9(constB141)))),
% 40.24/26.68 inference(transitivity,[status(thm)],[22320, 22318])).
% 40.24/26.68 tff(22322,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v64(constB141))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22323,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB141) | v64(constB141) | (~v9(constB141))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22322, 22321])).
% 40.24/26.68 tff(22324,plain,
% 40.24/26.68 (v64(constB141) | (~v9(constB141))),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22323, 15349, 18438])).
% 40.24/26.68 tff(22325,plain,
% 40.24/26.68 (v64(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22324, 21880])).
% 40.24/26.68 tff(22326,plain,
% 40.24/26.68 (^[VarNext: $i] : refl(((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext))) <=> ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22327,plain,
% 40.24/26.68 (![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22326])).
% 40.24/26.68 tff(22328,plain,
% 40.24/26.68 (![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22329,plain,
% 40.24/26.68 (^[VarNext: $i] : rewrite(((v60(VarNext) | (~v66(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22330,plain,
% 40.24/26.68 (![VarNext: $i] : ((v60(VarNext) | (~v66(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22329])).
% 40.24/26.68 tff(22331,axiom,(![VarNext: $i] : ((v60(VarNext) | (~v66(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_1')).
% 40.24/26.68 tff(22332,plain,
% 40.24/26.68 (![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22331, 22330])).
% 40.24/26.68 tff(22333,plain,
% 40.24/26.68 (![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22332, 22328])).
% 40.24/26.68 tff(22334,plain,(
% 40.24/26.68 ![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 40.24/26.68 inference(skolemize,[status(sab)],[22333])).
% 40.24/26.68 tff(22335,plain,
% 40.24/26.68 (![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22334, 22327])).
% 40.24/26.68 tff(22336,plain,
% 40.24/26.68 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | (v60(constB141) | (~v66(constB141)) | (~v64(constB141)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB141) | (~v66(constB141)) | (~v64(constB141)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22337,plain,
% 40.24/26.68 (((~v64(constB141)) | v60(constB141) | (~v66(constB141))) <=> (v60(constB141) | (~v66(constB141)) | (~v64(constB141)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22338,plain,
% 40.24/26.68 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB141)) | v60(constB141) | (~v66(constB141)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | (v60(constB141) | (~v66(constB141)) | (~v64(constB141))))),
% 40.24/26.68 inference(monotonicity,[status(thm)],[22337])).
% 40.24/26.68 tff(22339,plain,
% 40.24/26.68 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB141)) | v60(constB141) | (~v66(constB141)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB141) | (~v66(constB141)) | (~v64(constB141)))),
% 40.24/26.68 inference(transitivity,[status(thm)],[22338, 22336])).
% 40.24/26.68 tff(22340,plain,
% 40.24/26.68 ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB141)) | v60(constB141) | (~v66(constB141)))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22341,plain,
% 40.24/26.68 ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB141) | (~v66(constB141)) | (~v64(constB141))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22340, 22339])).
% 40.24/26.68 tff(22342,plain,
% 40.24/26.68 (v60(constB141) | (~v66(constB141))),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22341, 22335, 22325])).
% 40.24/26.68 tff(22343,plain,
% 40.24/26.68 (~v66(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22342, 22317])).
% 40.24/26.68 tff(22344,plain,
% 40.24/26.68 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext)))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22345,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22344])).
% 40.24/26.68 tff(22346,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22347,plain,
% 40.24/26.68 (^[VarNext: $i, VarCurr: $i] : rewrite(((v66(VarNext) | (~v26(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext)))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22348,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((v66(VarNext) | (~v26(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22347])).
% 40.24/26.68 tff(22349,axiom,(![VarNext: $i, VarCurr: $i] : ((v66(VarNext) | (~v26(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_4_1_1')).
% 40.24/26.68 tff(22350,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22349, 22348])).
% 40.24/26.68 tff(22351,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22350, 22346])).
% 40.24/26.68 tff(22352,plain,(
% 40.24/26.68 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 40.24/26.68 inference(skolemize,[status(sab)],[22351])).
% 40.24/26.68 tff(22353,plain,
% 40.24/26.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22352, 22345])).
% 40.24/26.68 tff(22354,plain,
% 40.24/26.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | ((~nextState(constB140, constB141)) | (~v26(constB140)) | v66(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | (~nextState(constB140, constB141)) | (~v26(constB140)) | v66(constB141))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22355,plain,
% 40.24/26.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | ((~nextState(constB140, constB141)) | (~v26(constB140)) | v66(constB141))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22356,plain,
% 40.24/26.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | (~nextState(constB140, constB141)) | (~v26(constB140)) | v66(constB141)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22355, 22354])).
% 40.24/26.68 tff(22357,plain,
% 40.24/26.68 ((~v26(constB140)) | v66(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22356, 22353, 18441])).
% 40.24/26.68 tff(22358,plain,
% 40.24/26.68 (~v26(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22357, 22343])).
% 40.24/26.68 tff(22359,plain,
% 40.24/26.68 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB140)) | (~v184(constB140)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB140)) | (~v184(constB140)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22360,plain,
% 40.24/26.68 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB140)) | (~v184(constB140)))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22361,plain,
% 40.24/26.68 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB140)) | (~v184(constB140))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22360, 22359])).
% 40.24/26.68 tff(22362,plain,
% 40.24/26.68 (~v184(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22361, 11253, 18396])).
% 40.24/26.68 tff(22363,plain,
% 40.24/26.68 (^[VarCurr: $i] : refl((v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr))) <=> (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22364,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22363])).
% 40.24/26.68 tff(22365,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22366,plain,
% 40.24/26.68 (^[VarCurr: $i] : rewrite(((v184(VarCurr) | v26(VarCurr)) | (~v183(VarCurr))) <=> (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22367,plain,
% 40.24/26.68 (![VarCurr: $i] : ((v184(VarCurr) | v26(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22366])).
% 40.24/26.68 tff(22368,axiom,(![VarCurr: $i] : ((v184(VarCurr) | v26(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_3')).
% 40.24/26.68 tff(22369,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22368, 22367])).
% 40.24/26.68 tff(22370,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22369, 22365])).
% 40.24/26.68 tff(22371,plain,(
% 40.24/26.68 ![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))),
% 40.24/26.68 inference(skolemize,[status(sab)],[22370])).
% 40.24/26.68 tff(22372,plain,
% 40.24/26.68 (![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22371, 22364])).
% 40.24/26.68 tff(22373,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))) | (v26(constB140) | v184(constB140) | (~v183(constB140)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))) | v26(constB140) | v184(constB140) | (~v183(constB140)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22374,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))) | (v26(constB140) | v184(constB140) | (~v183(constB140)))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22375,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))) | v26(constB140) | v184(constB140) | (~v183(constB140))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22374, 22373])).
% 40.24/26.68 tff(22376,plain,
% 40.24/26.68 (v26(constB140) | (~v183(constB140))),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22375, 22372, 22362])).
% 40.24/26.68 tff(22377,plain,
% 40.24/26.68 (~v183(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22376, 22358])).
% 40.24/26.68 tff(22378,plain,
% 40.24/26.68 (^[VarCurr: $i] : refl((v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr))) <=> (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22379,plain,
% 40.24/26.68 (![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22378])).
% 40.24/26.68 tff(22380,plain,
% 40.24/26.68 (![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22381,plain,
% 40.24/26.68 (^[VarCurr: $i] : rewrite(((v181(VarCurr) | (~v180(VarCurr))) | v183(VarCurr)) <=> (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22382,plain,
% 40.24/26.68 (![VarCurr: $i] : ((v181(VarCurr) | (~v180(VarCurr))) | v183(VarCurr)) <=> ![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22381])).
% 40.24/26.68 tff(22383,axiom,(![VarCurr: $i] : ((v181(VarCurr) | (~v180(VarCurr))) | v183(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_1')).
% 40.24/26.68 tff(22384,plain,
% 40.24/26.68 (![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22383, 22382])).
% 40.24/26.68 tff(22385,plain,
% 40.24/26.68 (![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22384, 22380])).
% 40.24/26.68 tff(22386,plain,(
% 40.24/26.68 ![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))),
% 40.24/26.68 inference(skolemize,[status(sab)],[22385])).
% 40.24/26.68 tff(22387,plain,
% 40.24/26.68 (![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22386, 22379])).
% 40.24/26.68 tff(22388,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))) | ((~v180(constB140)) | v183(constB140) | v181(constB140))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))) | (~v180(constB140)) | v183(constB140) | v181(constB140))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22389,plain,
% 40.24/26.68 ((v183(constB140) | v181(constB140) | (~v180(constB140))) <=> ((~v180(constB140)) | v183(constB140) | v181(constB140))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22390,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))) | (v183(constB140) | v181(constB140) | (~v180(constB140)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))) | ((~v180(constB140)) | v183(constB140) | v181(constB140)))),
% 40.24/26.68 inference(monotonicity,[status(thm)],[22389])).
% 40.24/26.68 tff(22391,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))) | (v183(constB140) | v181(constB140) | (~v180(constB140)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))) | (~v180(constB140)) | v183(constB140) | v181(constB140))),
% 40.24/26.68 inference(transitivity,[status(thm)],[22390, 22388])).
% 40.24/26.68 tff(22392,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))) | (v183(constB140) | v181(constB140) | (~v180(constB140)))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22393,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v183(VarCurr) | v181(VarCurr) | (~v180(VarCurr)))) | (~v180(constB140)) | v183(constB140) | v181(constB140)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22392, 22391])).
% 40.24/26.68 tff(22394,plain,
% 40.24/26.68 ((~v180(constB140)) | v181(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22393, 22387, 22377])).
% 40.24/26.68 tff(22395,plain,
% 40.24/26.68 (v181(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22394, 22272])).
% 40.24/26.68 tff(22396,plain,
% 40.24/26.68 (^[VarCurr: $i] : refl((v178(VarCurr) | (~v181(VarCurr))) <=> (v178(VarCurr) | (~v181(VarCurr))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.68 tff(22397,plain,
% 40.24/26.68 (![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr)))),
% 40.24/26.68 inference(quant_intro,[status(thm)],[22396])).
% 40.24/26.68 tff(22398,plain,
% 40.24/26.68 (![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22399,axiom,(![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_2')).
% 40.24/26.68 tff(22400,plain,
% 40.24/26.68 (![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22399, 22398])).
% 40.24/26.68 tff(22401,plain,(
% 40.24/26.68 ![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr)))),
% 40.24/26.68 inference(skolemize,[status(sab)],[22400])).
% 40.24/26.68 tff(22402,plain,
% 40.24/26.68 (![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr)))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22401, 22397])).
% 40.24/26.68 tff(22403,plain,
% 40.24/26.68 (((~![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr)))) | (v178(constB140) | (~v181(constB140)))) <=> ((~![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr)))) | v178(constB140) | (~v181(constB140)))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22404,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr)))) | (v178(constB140) | (~v181(constB140)))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22405,plain,
% 40.24/26.68 ((~![VarCurr: $i] : (v178(VarCurr) | (~v181(VarCurr)))) | v178(constB140) | (~v181(constB140))),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22404, 22403])).
% 40.24/26.68 tff(22406,plain,
% 40.24/26.68 (v178(constB140)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22405, 22402, 22395])).
% 40.24/26.68 tff(22407,plain,
% 40.24/26.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | (~v178(constB140)) | v180(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))) | (~nextState(constB140, constB141)) | (~v178(constB140)) | v180(constB141))),
% 40.24/26.68 inference(rewrite,[status(thm)],[])).
% 40.24/26.68 tff(22408,plain,
% 40.24/26.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))) | ((~nextState(constB140, constB141)) | (~v178(constB140)) | v180(constB141))),
% 40.24/26.68 inference(quant_inst,[status(thm)],[])).
% 40.24/26.68 tff(22409,plain,
% 40.24/26.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v178(VarCurr)) | v180(VarNext))) | (~nextState(constB140, constB141)) | (~v178(constB140)) | v180(constB141)),
% 40.24/26.68 inference(modus_ponens,[status(thm)],[22408, 22407])).
% 40.24/26.68 tff(22410,plain,
% 40.24/26.68 ((~v178(constB140)) | v180(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22409, 22267, 18441])).
% 40.24/26.68 tff(22411,plain,
% 40.24/26.68 (v180(constB141)),
% 40.24/26.68 inference(unit_resolution,[status(thm)],[22410, 22406])).
% 40.24/26.68 tff(22412,plain,
% 40.24/26.68 (^[VarCurr: $i] : refl(((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr))) <=> ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr))))),
% 40.24/26.68 inference(bind,[status(th)],[])).
% 40.24/26.69 tff(22413,plain,
% 40.24/26.69 (![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr))) <=> ![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))),
% 40.24/26.69 inference(quant_intro,[status(thm)],[22412])).
% 40.24/26.69 tff(22414,plain,
% 40.24/26.69 (![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr))) <=> ![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22415,plain,
% 40.24/26.69 (^[VarCurr: $i] : rewrite(((v198(VarCurr) | (~v199(VarCurr))) | (~v180(VarCurr))) <=> ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr))))),
% 40.24/26.69 inference(bind,[status(th)],[])).
% 40.24/26.69 tff(22416,plain,
% 40.24/26.69 (![VarCurr: $i] : ((v198(VarCurr) | (~v199(VarCurr))) | (~v180(VarCurr))) <=> ![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))),
% 40.24/26.69 inference(quant_intro,[status(thm)],[22415])).
% 40.24/26.69 tff(22417,axiom,(![VarCurr: $i] : ((v198(VarCurr) | (~v199(VarCurr))) | (~v180(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_52_1_1_1')).
% 40.24/26.69 tff(22418,plain,
% 40.24/26.69 (![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22417, 22416])).
% 40.24/26.69 tff(22419,plain,
% 40.24/26.69 (![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22418, 22414])).
% 40.24/26.69 tff(22420,plain,(
% 40.24/26.69 ![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))),
% 40.24/26.69 inference(skolemize,[status(sab)],[22419])).
% 40.24/26.69 tff(22421,plain,
% 40.24/26.69 (![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22420, 22413])).
% 40.24/26.69 tff(22422,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))) | ((~v180(constB141)) | v198(constB141) | (~v199(constB141)))) <=> ((~![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))) | (~v180(constB141)) | v198(constB141) | (~v199(constB141)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22423,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))) | ((~v180(constB141)) | v198(constB141) | (~v199(constB141)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22424,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v180(VarCurr)) | v198(VarCurr) | (~v199(VarCurr)))) | (~v180(constB141)) | v198(constB141) | (~v199(constB141))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22423, 22422])).
% 40.24/26.69 tff(22425,plain,
% 40.24/26.69 (v198(constB141) | (~v199(constB141))),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22424, 22421, 22411])).
% 40.24/26.69 tff(22426,plain,
% 40.24/26.69 (v198(constB141)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22425, 21918])).
% 40.24/26.69 tff(22427,plain,
% 40.24/26.69 (^[VarCurr: $i] : refl((v194(VarCurr) | (~v198(VarCurr))) <=> (v194(VarCurr) | (~v198(VarCurr))))),
% 40.24/26.69 inference(bind,[status(th)],[])).
% 40.24/26.69 tff(22428,plain,
% 40.24/26.69 (![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr)))),
% 40.24/26.69 inference(quant_intro,[status(thm)],[22427])).
% 40.24/26.69 tff(22429,plain,
% 40.24/26.69 (![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22430,axiom,(![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_1')).
% 40.24/26.69 tff(22431,plain,
% 40.24/26.69 (![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr)))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22430, 22429])).
% 40.24/26.69 tff(22432,plain,(
% 40.24/26.69 ![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr)))),
% 40.24/26.69 inference(skolemize,[status(sab)],[22431])).
% 40.24/26.69 tff(22433,plain,
% 40.24/26.69 (![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr)))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22432, 22428])).
% 40.24/26.69 tff(22434,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr)))) | (v194(constB141) | (~v198(constB141)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr)))) | v194(constB141) | (~v198(constB141)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22435,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr)))) | (v194(constB141) | (~v198(constB141)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22436,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v194(VarCurr) | (~v198(VarCurr)))) | v194(constB141) | (~v198(constB141))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22435, 22434])).
% 40.24/26.69 tff(22437,plain,
% 40.24/26.69 (v194(constB141)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22436, 22433, 22426])).
% 40.24/26.69 tff(22438,plain,
% 40.24/26.69 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext)))),
% 40.24/26.69 inference(bind,[status(th)],[])).
% 40.24/26.69 tff(22439,plain,
% 40.24/26.69 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))),
% 40.24/26.69 inference(quant_intro,[status(thm)],[22438])).
% 40.24/26.69 tff(22440,plain,
% 40.24/26.69 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22441,plain,
% 40.24/26.69 (^[VarNext: $i, VarCurr: $i] : rewrite(((v196(VarNext) | (~v194(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext)))),
% 40.24/26.69 inference(bind,[status(th)],[])).
% 40.24/26.69 tff(22442,plain,
% 40.24/26.69 (![VarNext: $i, VarCurr: $i] : ((v196(VarNext) | (~v194(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))),
% 40.24/26.69 inference(quant_intro,[status(thm)],[22441])).
% 40.24/26.69 tff(22443,axiom,(![VarNext: $i, VarCurr: $i] : ((v196(VarNext) | (~v194(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_12_1_1')).
% 40.24/26.69 tff(22444,plain,
% 40.24/26.69 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22443, 22442])).
% 40.24/26.69 tff(22445,plain,
% 40.24/26.69 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22444, 22440])).
% 40.24/26.69 tff(22446,plain,(
% 40.24/26.69 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))),
% 40.24/26.69 inference(skolemize,[status(sab)],[22445])).
% 40.24/26.69 tff(22447,plain,
% 40.24/26.69 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22446, 22439])).
% 40.24/26.69 tff(22448,plain,
% 40.24/26.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))) | ((~nextState(constB141, constB142)) | (~v194(constB141)) | v196(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))) | (~nextState(constB141, constB142)) | (~v194(constB141)) | v196(constB142))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22449,plain,
% 40.24/26.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))) | ((~nextState(constB141, constB142)) | (~v194(constB141)) | v196(constB142))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22450,plain,
% 40.24/26.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))) | (~nextState(constB141, constB142)) | (~v194(constB141)) | v196(constB142)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22449, 22448])).
% 40.24/26.69 tff(22451,plain,
% 40.24/26.69 ((~v194(constB141)) | v196(constB142)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22450, 22447, 18482])).
% 40.24/26.69 tff(22452,plain,
% 40.24/26.69 (v196(constB142)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22451, 22437])).
% 40.24/26.69 tff(22453,assumption,(v71(constB143)), introduced(assumption)).
% 40.24/26.69 tff(22454,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB143))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22455,plain,
% 40.24/26.69 ($false),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22454, 15383, 22453])).
% 40.24/26.69 tff(22456,plain,(~v71(constB143)), inference(lemma,lemma(discharge,[]))).
% 40.24/26.69 tff(22457,assumption,(v18(constB144)), introduced(assumption)).
% 40.24/26.69 tff(22458,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB144))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22459,plain,
% 40.24/26.69 ($false),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22458, 11110, 22457])).
% 40.24/26.69 tff(22460,plain,(~v18(constB144)), inference(lemma,lemma(discharge,[]))).
% 40.24/26.69 tff(22461,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22462,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22463,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22462, 22461])).
% 40.24/26.69 tff(22464,plain,
% 40.24/26.69 (v22(constB144)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22463, 11120, 18896])).
% 40.24/26.69 tff(22465,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB144)) | (~v22(constB144)) | v18(constB144))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB144)) | (~v22(constB144)) | v18(constB144))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22466,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB144)) | (~v22(constB144)) | v18(constB144))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22467,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB144)) | (~v22(constB144)) | v18(constB144)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22466, 22465])).
% 40.24/26.69 tff(22468,plain,
% 40.24/26.69 ((~v19(constB144)) | v18(constB144)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22467, 11134, 22464])).
% 40.24/26.69 tff(22469,plain,
% 40.24/26.69 (~v19(constB144)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22468, 22460])).
% 40.24/26.69 tff(22470,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22471,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22472,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22471, 22470])).
% 40.24/26.69 tff(22473,plain,
% 40.24/26.69 (v13(constB144)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22472, 11149, 22469])).
% 40.24/26.69 tff(22474,plain,
% 40.24/26.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22475,plain,
% 40.24/26.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22476,plain,
% 40.24/26.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22475, 22474])).
% 40.24/26.69 tff(22477,plain,
% 40.24/26.69 ((~v13(constB144)) | v9(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22476, 11163, 18876])).
% 40.24/26.69 tff(22478,plain,
% 40.24/26.69 (v9(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22477, 22473])).
% 40.24/26.69 tff(22479,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB143) | (~v9(constB143)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB143) | (~v9(constB143)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22480,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB143) | (~v9(constB143)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22481,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB143) | (~v9(constB143))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22480, 22479])).
% 40.24/26.69 tff(22482,plain,
% 40.24/26.69 (v80(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22481, 15393, 22478])).
% 40.24/26.69 tff(22483,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB143) | v78(constB143))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB143) | v78(constB143))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22484,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB143) | v78(constB143))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22485,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB143) | v78(constB143)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22484, 22483])).
% 40.24/26.69 tff(22486,plain,
% 40.24/26.69 (v78(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22485, 15407, 18681])).
% 40.24/26.69 tff(22487,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB143)) | (~v80(constB143)) | v76(constB143))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB143)) | (~v80(constB143)) | v76(constB143))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22488,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB143)) | (~v80(constB143)) | v76(constB143))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22489,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB143)) | (~v80(constB143)) | v76(constB143)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22488, 22487])).
% 40.24/26.69 tff(22490,plain,
% 40.24/26.69 ((~v80(constB143)) | v76(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22489, 15421, 22486])).
% 40.24/26.69 tff(22491,plain,
% 40.24/26.69 (v76(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22490, 22482])).
% 40.24/26.69 tff(22492,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB143)) | v71(constB143) | (~v72(constB143)))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB143)) | v71(constB143) | (~v72(constB143)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22493,plain,
% 40.24/26.69 (((~v72(constB143)) | (~v76(constB143)) | v71(constB143)) <=> ((~v76(constB143)) | v71(constB143) | (~v72(constB143)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22494,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB143)) | (~v76(constB143)) | v71(constB143))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB143)) | v71(constB143) | (~v72(constB143))))),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22493])).
% 40.24/26.69 tff(22495,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB143)) | (~v76(constB143)) | v71(constB143))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB143)) | v71(constB143) | (~v72(constB143)))),
% 40.24/26.69 inference(transitivity,[status(thm)],[22494, 22492])).
% 40.24/26.69 tff(22496,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB143)) | (~v76(constB143)) | v71(constB143))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22497,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB143)) | v71(constB143) | (~v72(constB143))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22496, 22495])).
% 40.24/26.69 tff(22498,plain,
% 40.24/26.69 (v71(constB143) | (~v72(constB143))),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22497, 15436, 22491])).
% 40.24/26.69 tff(22499,plain,
% 40.24/26.69 (~v72(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22498, 22456])).
% 40.24/26.69 tff(22500,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB143) | v72(constB143) | v74(constB143))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB143) | v72(constB143) | v74(constB143))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22501,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB143) | v72(constB143) | v74(constB143))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22502,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB143) | v72(constB143) | v74(constB143)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22501, 22500])).
% 40.24/26.69 tff(22503,plain,
% 40.24/26.69 (v72(constB143) | v74(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22502, 15454, 18681])).
% 40.24/26.69 tff(22504,plain,
% 40.24/26.69 (v74(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22503, 22499])).
% 40.24/26.69 tff(22505,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | (v26(constB143) | (~v60(constB143)) | (~v74(constB143)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | v26(constB143) | (~v60(constB143)) | (~v74(constB143)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22506,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | (v26(constB143) | (~v60(constB143)) | (~v74(constB143)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22507,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | v26(constB143) | (~v60(constB143)) | (~v74(constB143))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22506, 22505])).
% 40.24/26.69 tff(22508,plain,
% 40.24/26.69 ((~v60(constB143)) | (~v74(constB143))),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22507, 22312, 18864])).
% 40.24/26.69 tff(22509,plain,
% 40.24/26.69 (~v60(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22508, 22504])).
% 40.24/26.69 tff(22510,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB143) | v64(constB143) | (~v9(constB143)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB143) | v64(constB143) | (~v9(constB143)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22511,plain,
% 40.24/26.69 ((v1(constB143) | (~v9(constB143)) | v64(constB143)) <=> (v1(constB143) | v64(constB143) | (~v9(constB143)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22512,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v64(constB143))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB143) | v64(constB143) | (~v9(constB143))))),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22511])).
% 40.24/26.69 tff(22513,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v64(constB143))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB143) | v64(constB143) | (~v9(constB143)))),
% 40.24/26.69 inference(transitivity,[status(thm)],[22512, 22510])).
% 40.24/26.69 tff(22514,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v64(constB143))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22515,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB143) | v64(constB143) | (~v9(constB143))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22514, 22513])).
% 40.24/26.69 tff(22516,plain,
% 40.24/26.69 (v64(constB143) | (~v9(constB143))),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22515, 15349, 18681])).
% 40.24/26.69 tff(22517,plain,
% 40.24/26.69 (v64(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22516, 22478])).
% 40.24/26.69 tff(22518,plain,
% 40.24/26.69 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | (v60(constB143) | (~v66(constB143)) | (~v64(constB143)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB143) | (~v66(constB143)) | (~v64(constB143)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22519,plain,
% 40.24/26.69 (((~v64(constB143)) | v60(constB143) | (~v66(constB143))) <=> (v60(constB143) | (~v66(constB143)) | (~v64(constB143)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22520,plain,
% 40.24/26.69 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB143)) | v60(constB143) | (~v66(constB143)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | (v60(constB143) | (~v66(constB143)) | (~v64(constB143))))),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22519])).
% 40.24/26.69 tff(22521,plain,
% 40.24/26.69 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB143)) | v60(constB143) | (~v66(constB143)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB143) | (~v66(constB143)) | (~v64(constB143)))),
% 40.24/26.69 inference(transitivity,[status(thm)],[22520, 22518])).
% 40.24/26.69 tff(22522,plain,
% 40.24/26.69 ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB143)) | v60(constB143) | (~v66(constB143)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22523,plain,
% 40.24/26.69 ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB143) | (~v66(constB143)) | (~v64(constB143))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22522, 22521])).
% 40.24/26.69 tff(22524,plain,
% 40.24/26.69 (v60(constB143) | (~v66(constB143))),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22523, 22335, 22517])).
% 40.24/26.69 tff(22525,plain,
% 40.24/26.69 (~v66(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22524, 22509])).
% 40.24/26.69 tff(22526,plain,
% 40.24/26.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | ((~nextState(constB142, constB143)) | (~v26(constB142)) | v66(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | (~nextState(constB142, constB143)) | (~v26(constB142)) | v66(constB143))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22527,plain,
% 40.24/26.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | ((~nextState(constB142, constB143)) | (~v26(constB142)) | v66(constB143))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22528,plain,
% 40.24/26.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | (~nextState(constB142, constB143)) | (~v26(constB142)) | v66(constB143)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22527, 22526])).
% 40.24/26.69 tff(22529,plain,
% 40.24/26.69 ((~v26(constB142)) | v66(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22528, 22353, 18684])).
% 40.24/26.69 tff(22530,plain,
% 40.24/26.69 (~v26(constB142)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22529, 22525])).
% 40.24/26.69 tff(22531,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB142)) | (~v184(constB142)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB142)) | (~v184(constB142)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22532,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB142)) | (~v184(constB142)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22533,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB142)) | (~v184(constB142))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22532, 22531])).
% 40.24/26.69 tff(22534,plain,
% 40.24/26.69 (~v184(constB142)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22533, 11253, 18507])).
% 40.24/26.69 tff(22535,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))) | (v26(constB142) | v184(constB142) | (~v183(constB142)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))) | v26(constB142) | v184(constB142) | (~v183(constB142)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22536,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))) | (v26(constB142) | v184(constB142) | (~v183(constB142)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22537,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v26(VarCurr) | v184(VarCurr) | (~v183(VarCurr)))) | v26(constB142) | v184(constB142) | (~v183(constB142))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22536, 22535])).
% 40.24/26.69 tff(22538,plain,
% 40.24/26.69 (v26(constB142) | (~v183(constB142))),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22537, 22372, 22534])).
% 40.24/26.69 tff(22539,plain,
% 40.24/26.69 (~v183(constB142)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22538, 22530])).
% 40.24/26.69 tff(22540,plain,
% 40.24/26.69 (^[VarCurr: $i] : refl((v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr))) <=> (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr))))),
% 40.24/26.69 inference(bind,[status(th)],[])).
% 40.24/26.69 tff(22541,plain,
% 40.24/26.69 (![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))),
% 40.24/26.69 inference(quant_intro,[status(thm)],[22540])).
% 40.24/26.69 tff(22542,plain,
% 40.24/26.69 (![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22543,plain,
% 40.24/26.69 (^[VarCurr: $i] : rewrite(((v197(VarCurr) | (~v196(VarCurr))) | v183(VarCurr)) <=> (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr))))),
% 40.24/26.69 inference(bind,[status(th)],[])).
% 40.24/26.69 tff(22544,plain,
% 40.24/26.69 (![VarCurr: $i] : ((v197(VarCurr) | (~v196(VarCurr))) | v183(VarCurr)) <=> ![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))),
% 40.24/26.69 inference(quant_intro,[status(thm)],[22543])).
% 40.24/26.69 tff(22545,axiom,(![VarCurr: $i] : ((v197(VarCurr) | (~v196(VarCurr))) | v183(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_1')).
% 40.24/26.69 tff(22546,plain,
% 40.24/26.69 (![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22545, 22544])).
% 40.24/26.69 tff(22547,plain,
% 40.24/26.69 (![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22546, 22542])).
% 40.24/26.69 tff(22548,plain,(
% 40.24/26.69 ![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))),
% 40.24/26.69 inference(skolemize,[status(sab)],[22547])).
% 40.24/26.69 tff(22549,plain,
% 40.24/26.69 (![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22548, 22541])).
% 40.24/26.69 tff(22550,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))) | (v183(constB142) | v197(constB142) | (~v196(constB142)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))) | v183(constB142) | v197(constB142) | (~v196(constB142)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22551,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))) | (v183(constB142) | v197(constB142) | (~v196(constB142)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22552,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v183(VarCurr) | v197(VarCurr) | (~v196(VarCurr)))) | v183(constB142) | v197(constB142) | (~v196(constB142))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22551, 22550])).
% 40.24/26.69 tff(22553,plain,
% 40.24/26.69 (v197(constB142) | (~v196(constB142))),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22552, 22549, 22539])).
% 40.24/26.69 tff(22554,plain,
% 40.24/26.69 (v197(constB142)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22553, 22452])).
% 40.24/26.69 tff(22555,plain,
% 40.24/26.69 (^[VarCurr: $i] : refl((v194(VarCurr) | (~v197(VarCurr))) <=> (v194(VarCurr) | (~v197(VarCurr))))),
% 40.24/26.69 inference(bind,[status(th)],[])).
% 40.24/26.69 tff(22556,plain,
% 40.24/26.69 (![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr)))),
% 40.24/26.69 inference(quant_intro,[status(thm)],[22555])).
% 40.24/26.69 tff(22557,plain,
% 40.24/26.69 (![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22558,axiom,(![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_2')).
% 40.24/26.69 tff(22559,plain,
% 40.24/26.69 (![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr)))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22558, 22557])).
% 40.24/26.69 tff(22560,plain,(
% 40.24/26.69 ![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr)))),
% 40.24/26.69 inference(skolemize,[status(sab)],[22559])).
% 40.24/26.69 tff(22561,plain,
% 40.24/26.69 (![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr)))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22560, 22556])).
% 40.24/26.69 tff(22562,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr)))) | (v194(constB142) | (~v197(constB142)))) <=> ((~![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr)))) | v194(constB142) | (~v197(constB142)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22563,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr)))) | (v194(constB142) | (~v197(constB142)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22564,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v194(VarCurr) | (~v197(VarCurr)))) | v194(constB142) | (~v197(constB142))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22563, 22562])).
% 40.24/26.69 tff(22565,plain,
% 40.24/26.69 (v194(constB142)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22564, 22561, 22554])).
% 40.24/26.69 tff(22566,plain,
% 40.24/26.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))) | ((~nextState(constB142, constB143)) | (~v194(constB142)) | v196(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))) | (~nextState(constB142, constB143)) | (~v194(constB142)) | v196(constB143))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22567,plain,
% 40.24/26.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))) | ((~nextState(constB142, constB143)) | (~v194(constB142)) | v196(constB143))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22568,plain,
% 40.24/26.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v194(VarCurr)) | v196(VarNext))) | (~nextState(constB142, constB143)) | (~v194(constB142)) | v196(constB143)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22567, 22566])).
% 40.24/26.69 tff(22569,plain,
% 40.24/26.69 ((~v194(constB142)) | v196(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22568, 22447, 18684])).
% 40.24/26.69 tff(22570,plain,
% 40.24/26.69 (v196(constB143)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22569, 22565])).
% 40.24/26.69 tff(22571,plain,
% 40.24/26.69 ($false),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22570, 21750])).
% 40.24/26.69 tff(22572,plain,((~(constB143 = sK0_VarCurr)) | v196(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.24/26.69 tff(22573,plain,
% 40.24/26.69 (~(constB143 = sK0_VarCurr)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22572, 4])).
% 40.24/26.69 tff(22574,assumption,(constB93 = sK0_VarCurr), introduced(assumption)).
% 40.24/26.69 tff(22575,plain,
% 40.24/26.69 (v86(constB93) <=> v86(sK0_VarCurr)),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22574])).
% 40.24/26.69 tff(22576,plain,
% 40.24/26.69 (v86(sK0_VarCurr) <=> v86(constB93)),
% 40.24/26.69 inference(symmetry,[status(thm)],[22575])).
% 40.24/26.69 tff(22577,plain,
% 40.24/26.69 ((~v86(sK0_VarCurr)) <=> (~v86(constB93))),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22576])).
% 40.24/26.69 tff(22578,plain,
% 40.24/26.69 (~v86(constB93)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[77, 22577])).
% 40.24/26.69 tff(22579,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | ((~v167(constB93)) | v141(constB93) | v170(constB93))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB93)) | v141(constB93) | v170(constB93))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22580,plain,
% 40.24/26.69 ((v141(constB93) | (~v167(constB93)) | v170(constB93)) <=> ((~v167(constB93)) | v141(constB93) | v170(constB93))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22581,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB93) | (~v167(constB93)) | v170(constB93))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | ((~v167(constB93)) | v141(constB93) | v170(constB93)))),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22580])).
% 40.24/26.69 tff(22582,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB93) | (~v167(constB93)) | v170(constB93))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB93)) | v141(constB93) | v170(constB93))),
% 40.24/26.69 inference(transitivity,[status(thm)],[22581, 22579])).
% 40.24/26.69 tff(22583,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB93) | (~v167(constB93)) | v170(constB93))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22584,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB93)) | v141(constB93) | v170(constB93)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22583, 22582])).
% 40.24/26.69 tff(22585,plain,
% 40.24/26.69 ((~v167(constB93)) | v170(constB93)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22584, 10672, 14904])).
% 40.24/26.69 tff(22586,plain,
% 40.24/26.69 (~v167(constB93)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22585, 14897])).
% 40.24/26.69 tff(22587,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB93, bitIndex1) | (~v144(constB93)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB93, bitIndex1) | (~v144(constB93)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22588,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB93, bitIndex1) | (~v144(constB93)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22589,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB93, bitIndex1) | (~v144(constB93))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22588, 22587])).
% 40.24/26.69 tff(22590,plain,
% 40.24/26.69 (~v144(constB93)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22589, 10868, 14913])).
% 40.24/26.69 tff(22591,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v143(constB93)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v143(constB93)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22592,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB93, bitIndex2)) | (~v143(constB93)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22593,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB93, bitIndex2)) | (~v143(constB93))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22592, 22591])).
% 40.24/26.69 tff(22594,plain,
% 40.24/26.69 (~v143(constB93)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22593, 10885, 14882])).
% 40.24/26.69 tff(22595,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB93) | v144(constB93) | (~v142(constB93)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB93) | v144(constB93) | (~v142(constB93)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22596,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB93) | v144(constB93) | (~v142(constB93)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22597,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB93) | v144(constB93) | (~v142(constB93))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22596, 22595])).
% 40.24/26.69 tff(22598,plain,
% 40.24/26.69 (~v142(constB93)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22597, 10711, 22594, 22590])).
% 40.24/26.69 tff(22599,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB93) | (~v166(constB93)) | v167(constB93))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB93) | (~v166(constB93)) | v167(constB93))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22600,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB93) | (~v166(constB93)) | v167(constB93))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22601,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB93) | (~v166(constB93)) | v167(constB93)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22600, 22599])).
% 40.24/26.69 tff(22602,plain,
% 40.24/26.69 (~v166(constB93)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22601, 10725, 22598, 22586])).
% 40.24/26.69 tff(22603,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB93) | v166(constB93))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB93) | v166(constB93))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22604,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB93) | v166(constB93))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22605,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB93) | v166(constB93)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22604, 22603])).
% 40.24/26.69 tff(22606,plain,
% 40.24/26.69 (v148(constB93)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22605, 10739, 22602])).
% 40.24/26.69 tff(22607,plain,
% 40.24/26.69 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB93) | (~v165(constB93)) | (~v148(constB93)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB93) | (~v165(constB93)) | (~v148(constB93)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22608,plain,
% 40.24/26.69 (((~v148(constB93)) | (~v165(constB93)) | v86(constB93)) <=> (v86(constB93) | (~v165(constB93)) | (~v148(constB93)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22609,plain,
% 40.24/26.69 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB93)) | (~v165(constB93)) | v86(constB93))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB93) | (~v165(constB93)) | (~v148(constB93))))),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22608])).
% 40.24/26.69 tff(22610,plain,
% 40.24/26.69 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB93)) | (~v165(constB93)) | v86(constB93))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB93) | (~v165(constB93)) | (~v148(constB93)))),
% 40.24/26.69 inference(transitivity,[status(thm)],[22609, 22607])).
% 40.24/26.69 tff(22611,plain,
% 40.24/26.69 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB93)) | (~v165(constB93)) | v86(constB93))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22612,plain,
% 40.24/26.69 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB93) | (~v165(constB93)) | (~v148(constB93))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22611, 22610])).
% 40.24/26.69 tff(22613,plain,
% 40.24/26.69 (v86(constB93) | (~v148(constB93))),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22612, 10837, 14932])).
% 40.24/26.69 tff(22614,plain,
% 40.24/26.69 (v86(constB93)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22613, 22606])).
% 40.24/26.69 tff(22615,plain,
% 40.24/26.69 ($false),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22614, 22578])).
% 40.24/26.69 tff(22616,plain,((~(constB93 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.24/26.69 tff(22617,plain,
% 40.24/26.69 (~(constB93 = sK0_VarCurr)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22616, 72])).
% 40.24/26.69 tff(22618,assumption,(constB108 = sK0_VarCurr), introduced(assumption)).
% 40.24/26.69 tff(22619,plain,
% 40.24/26.69 (v1(constB108) <=> v1(sK0_VarCurr)),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22618])).
% 40.24/26.69 tff(22620,plain,
% 40.24/26.69 (v1(sK0_VarCurr) <=> v1(constB108)),
% 40.24/26.69 inference(symmetry,[status(thm)],[22619])).
% 40.24/26.69 tff(22621,plain,
% 40.24/26.69 ((~v1(sK0_VarCurr)) <=> (~v1(constB108))),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22620])).
% 40.24/26.69 tff(22622,plain,
% 40.24/26.69 (~v1(constB108)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[21332, 22621])).
% 40.24/26.69 tff(22623,plain,
% 40.24/26.69 ($false),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[13685, 22622])).
% 40.24/26.69 tff(22624,plain,((~(constB108 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.24/26.69 tff(22625,plain,
% 40.24/26.69 (~(constB108 = sK0_VarCurr)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22624, 21327])).
% 40.24/26.69 tff(22626,assumption,(constB69 = sK0_VarCurr), introduced(assumption)).
% 40.24/26.69 tff(22627,plain,
% 40.24/26.69 (v86(constB69) <=> v86(sK0_VarCurr)),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22626])).
% 40.24/26.69 tff(22628,plain,
% 40.24/26.69 (v86(sK0_VarCurr) <=> v86(constB69)),
% 40.24/26.69 inference(symmetry,[status(thm)],[22627])).
% 40.24/26.69 tff(22629,plain,
% 40.24/26.69 ((~v86(sK0_VarCurr)) <=> (~v86(constB69))),
% 40.24/26.69 inference(monotonicity,[status(thm)],[22628])).
% 40.24/26.69 tff(22630,plain,
% 40.24/26.69 (~v86(constB69)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[77, 22629])).
% 40.24/26.69 tff(22631,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB69, bitIndex2)) | v88(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB69, bitIndex2)) | v88(constB69, bitIndex2))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22632,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB69, bitIndex2)) | v88(constB69, bitIndex2))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22633,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB69, bitIndex2)) | v88(constB69, bitIndex2)),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22632, 22631])).
% 40.24/26.69 tff(22634,plain,
% 40.24/26.69 (v88(constB69, bitIndex2)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22633, 10566, 9203])).
% 40.24/26.69 tff(22635,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB69, bitIndex2)) | (~v139(constB69)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB69, bitIndex2)) | (~v139(constB69)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22636,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB69, bitIndex2)) | (~v139(constB69)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22637,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB69, bitIndex2)) | (~v139(constB69))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22636, 22635])).
% 40.24/26.69 tff(22638,plain,
% 40.24/26.69 (~v139(constB69)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22637, 10904, 22634])).
% 40.24/26.69 tff(22639,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB69, bitIndex2)) | (~v140(constB69)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB69, bitIndex2)) | (~v140(constB69)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22640,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB69, bitIndex2)) | (~v140(constB69)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22641,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB69, bitIndex2)) | (~v140(constB69))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22640, 22639])).
% 40.24/26.69 tff(22642,plain,
% 40.24/26.69 (~v140(constB69)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22641, 10577, 22634])).
% 40.24/26.69 tff(22643,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB69) | v139(constB69) | (~v170(constB69)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB69) | v139(constB69) | (~v170(constB69)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22644,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB69) | v139(constB69) | (~v170(constB69)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22645,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB69) | v139(constB69) | (~v170(constB69))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22644, 22643])).
% 40.24/26.69 tff(22646,plain,
% 40.24/26.69 (~v170(constB69)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22645, 10647, 22642, 22638])).
% 40.24/26.69 tff(22647,plain,
% 40.24/26.69 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB69, bitIndex2)) | (~v141(constB69)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB69, bitIndex2)) | (~v141(constB69)))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22648,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB69, bitIndex2)) | (~v141(constB69)))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.69 tff(22649,plain,
% 40.24/26.69 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB69, bitIndex2)) | (~v141(constB69))),
% 40.24/26.69 inference(modus_ponens,[status(thm)],[22648, 22647])).
% 40.24/26.69 tff(22650,plain,
% 40.24/26.69 (~v141(constB69)),
% 40.24/26.69 inference(unit_resolution,[status(thm)],[22649, 10658, 22634])).
% 40.24/26.69 tff(22651,plain,
% 40.24/26.69 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB69) | (~v167(constB69)) | v170(constB69))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB69) | (~v167(constB69)) | v170(constB69))),
% 40.24/26.69 inference(rewrite,[status(thm)],[])).
% 40.24/26.69 tff(22652,plain,
% 40.24/26.69 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB69) | (~v167(constB69)) | v170(constB69))),
% 40.24/26.69 inference(quant_inst,[status(thm)],[])).
% 40.24/26.70 tff(22653,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB69) | (~v167(constB69)) | v170(constB69)),
% 40.24/26.70 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 40.24/26.70 tff(22654,plain,
% 40.24/26.70 ((~v167(constB69)) | v170(constB69)),
% 40.24/26.70 inference(unit_resolution,[status(thm)],[22653, 10672, 22650])).
% 40.24/26.70 tff(22655,plain,
% 40.24/26.70 (~v167(constB69)),
% 40.24/26.70 inference(unit_resolution,[status(thm)],[22654, 22646])).
% 40.24/26.70 tff(22656,plain,
% 40.24/26.70 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB69, bitIndex1) | (~v88(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB69, bitIndex1) | (~v88(constB69, bitIndex1)))),
% 40.24/26.70 inference(rewrite,[status(thm)],[])).
% 40.24/26.70 tff(22657,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB69, bitIndex1) | (~v88(constB69, bitIndex1)))),
% 40.24/26.70 inference(quant_inst,[status(thm)],[])).
% 40.24/26.70 tff(22658,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB69, bitIndex1) | (~v88(constB69, bitIndex1))),
% 40.24/26.70 inference(modus_ponens,[status(thm)],[22657, 22656])).
% 40.24/26.70 tff(22659,plain,
% 40.24/26.70 (~v88(constB69, bitIndex1)),
% 40.24/26.70 inference(unit_resolution,[status(thm)],[22658, 10784, 9237])).
% 40.24/26.70 tff(22660,plain,
% 40.24/26.70 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB69)) | v88(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB69)) | v88(constB69, bitIndex1))),
% 40.24/26.70 inference(rewrite,[status(thm)],[])).
% 40.24/26.70 tff(22661,plain,
% 40.24/26.70 ((v88(constB69, bitIndex1) | (~v144(constB69))) <=> ((~v144(constB69)) | v88(constB69, bitIndex1))),
% 40.24/26.70 inference(rewrite,[status(thm)],[])).
% 40.24/26.70 tff(22662,plain,
% 40.24/26.70 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB69, bitIndex1) | (~v144(constB69)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB69)) | v88(constB69, bitIndex1)))),
% 40.24/26.70 inference(monotonicity,[status(thm)],[22661])).
% 40.24/26.70 tff(22663,plain,
% 40.24/26.70 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB69, bitIndex1) | (~v144(constB69)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB69)) | v88(constB69, bitIndex1))),
% 40.24/26.70 inference(transitivity,[status(thm)],[22662, 22660])).
% 40.24/26.70 tff(22664,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB69, bitIndex1) | (~v144(constB69)))),
% 40.24/26.70 inference(quant_inst,[status(thm)],[])).
% 40.24/26.70 tff(22665,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB69)) | v88(constB69, bitIndex1)),
% 40.24/26.70 inference(modus_ponens,[status(thm)],[22664, 22663])).
% 40.24/26.70 tff(22666,plain,
% 40.24/26.70 (~v144(constB69)),
% 40.24/26.70 inference(unit_resolution,[status(thm)],[22665, 10868, 22659])).
% 40.24/26.70 tff(22667,plain,
% 40.24/26.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB69, bitIndex2)) | (~v143(constB69)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB69, bitIndex2)) | (~v143(constB69)))),
% 40.24/26.70 inference(rewrite,[status(thm)],[])).
% 40.24/26.70 tff(22668,plain,
% 40.24/26.70 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB69, bitIndex2)) | (~v143(constB69)))),
% 40.24/26.70 inference(quant_inst,[status(thm)],[])).
% 40.24/26.70 tff(22669,plain,
% 40.24/26.70 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB69, bitIndex2)) | (~v143(constB69))),
% 40.24/26.70 inference(modus_ponens,[status(thm)],[22668, 22667])).
% 40.24/26.70 tff(22670,plain,
% 40.24/26.70 (~v143(constB69)),
% 40.24/26.70 inference(unit_resolution,[status(thm)],[22669, 10885, 22634])).
% 40.24/26.70 tff(22671,plain,
% 40.24/26.70 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB69) | v144(constB69) | (~v142(constB69)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB69) | v144(constB69) | (~v142(constB69)))),
% 40.24/26.70 inference(rewrite,[status(thm)],[])).
% 40.24/26.70 tff(22672,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB69) | v144(constB69) | (~v142(constB69)))),
% 40.24/26.70 inference(quant_inst,[status(thm)],[])).
% 40.24/26.70 tff(22673,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB69) | v144(constB69) | (~v142(constB69))),
% 40.24/26.70 inference(modus_ponens,[status(thm)],[22672, 22671])).
% 40.24/26.70 tff(22674,plain,
% 40.24/26.70 (~v142(constB69)),
% 40.24/26.70 inference(unit_resolution,[status(thm)],[22673, 10711, 22670, 22666])).
% 40.24/26.70 tff(22675,plain,
% 40.24/26.70 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB69) | (~v166(constB69)) | v167(constB69))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB69) | (~v166(constB69)) | v167(constB69))),
% 40.24/26.70 inference(rewrite,[status(thm)],[])).
% 40.24/26.70 tff(22676,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB69) | (~v166(constB69)) | v167(constB69))),
% 40.24/26.70 inference(quant_inst,[status(thm)],[])).
% 40.24/26.70 tff(22677,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB69) | (~v166(constB69)) | v167(constB69)),
% 40.24/26.70 inference(modus_ponens,[status(thm)],[22676, 22675])).
% 40.24/26.70 tff(22678,plain,
% 40.24/26.70 (~v166(constB69)),
% 40.24/26.70 inference(unit_resolution,[status(thm)],[22677, 10725, 22674, 22655])).
% 40.24/26.70 tff(22679,plain,
% 40.24/26.70 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB69) | v166(constB69))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB69) | v166(constB69))),
% 40.24/26.70 inference(rewrite,[status(thm)],[])).
% 40.24/26.70 tff(22680,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB69) | v166(constB69))),
% 40.24/26.70 inference(quant_inst,[status(thm)],[])).
% 40.24/26.70 tff(22681,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB69) | v166(constB69)),
% 40.24/26.70 inference(modus_ponens,[status(thm)],[22680, 22679])).
% 40.24/26.70 tff(22682,plain,
% 40.24/26.70 (v148(constB69)),
% 40.24/26.70 inference(unit_resolution,[status(thm)],[22681, 10739, 22678])).
% 40.24/26.70 tff(22683,plain,
% 40.24/26.70 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB69, bitIndex0) | (~v88(constB69, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB69, bitIndex0) | (~v88(constB69, bitIndex0)))),
% 40.24/26.70 inference(rewrite,[status(thm)],[])).
% 40.24/26.70 tff(22684,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB69, bitIndex0) | (~v88(constB69, bitIndex0)))),
% 40.24/26.70 inference(quant_inst,[status(thm)],[])).
% 40.24/26.70 tff(22685,plain,
% 40.24/26.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB69, bitIndex0) | (~v88(constB69, bitIndex0))),
% 40.24/26.70 inference(modus_ponens,[status(thm)],[22684, 22683])).
% 40.24/26.70 tff(22686,plain,
% 40.24/26.70 (~v88(constB69, bitIndex0)),
% 40.24/26.70 inference(unit_resolution,[status(thm)],[22685, 14645, 9271])).
% 40.24/26.70 tff(22687,plain,
% 40.24/26.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB69, bitIndex2)) | v146(constB69) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB69, bitIndex2)) | v146(constB69) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))),
% 40.24/26.70 inference(rewrite,[status(thm)],[])).
% 40.24/26.70 tff(22688,plain,
% 40.24/26.70 (((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0) | v146(constB69)) <=> ((~v88(constB69, bitIndex2)) | v146(constB69) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))),
% 40.24/26.70 inference(rewrite,[status(thm)],[])).
% 40.24/26.70 tff(22689,plain,
% 40.24/26.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0) | v146(constB69))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB69, bitIndex2)) | v146(constB69) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0)))),
% 40.26/26.70 inference(monotonicity,[status(thm)],[22688])).
% 40.26/26.70 tff(22690,plain,
% 40.26/26.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0) | v146(constB69))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB69, bitIndex2)) | v146(constB69) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))),
% 40.26/26.70 inference(transitivity,[status(thm)],[22689, 22687])).
% 40.26/26.70 tff(22691,plain,
% 40.26/26.70 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0) | v146(constB69))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22692,plain,
% 40.26/26.70 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB69, bitIndex2)) | v146(constB69) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0)),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22691, 22690])).
% 40.26/26.70 tff(22693,plain,
% 40.26/26.70 (v146(constB69)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22692, 14659, 22634, 22686, 22659])).
% 40.26/26.70 tff(22694,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB69) | (~v146(constB69)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB69) | (~v146(constB69)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22695,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB69) | (~v146(constB69)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22696,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB69) | (~v146(constB69))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22695, 22694])).
% 40.26/26.70 tff(22697,plain,
% 40.26/26.70 (v145(constB69)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22696, 14673, 22693])).
% 40.26/26.70 tff(22698,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB69) | (~v145(constB69)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB69) | (~v145(constB69)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22699,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB69) | (~v145(constB69)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22700,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB69) | (~v145(constB69))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22699, 22698])).
% 40.26/26.70 tff(22701,plain,
% 40.26/26.70 (v165(constB69)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22700, 10823, 22697])).
% 40.26/26.70 tff(22702,plain,
% 40.26/26.70 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB69) | (~v165(constB69)) | (~v148(constB69)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB69) | (~v165(constB69)) | (~v148(constB69)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22703,plain,
% 40.26/26.70 (((~v148(constB69)) | (~v165(constB69)) | v86(constB69)) <=> (v86(constB69) | (~v165(constB69)) | (~v148(constB69)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22704,plain,
% 40.26/26.70 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB69)) | (~v165(constB69)) | v86(constB69))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB69) | (~v165(constB69)) | (~v148(constB69))))),
% 40.26/26.70 inference(monotonicity,[status(thm)],[22703])).
% 40.26/26.70 tff(22705,plain,
% 40.26/26.70 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB69)) | (~v165(constB69)) | v86(constB69))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB69) | (~v165(constB69)) | (~v148(constB69)))),
% 40.26/26.70 inference(transitivity,[status(thm)],[22704, 22702])).
% 40.26/26.70 tff(22706,plain,
% 40.26/26.70 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB69)) | (~v165(constB69)) | v86(constB69))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22707,plain,
% 40.26/26.70 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB69) | (~v165(constB69)) | (~v148(constB69))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22706, 22705])).
% 40.26/26.70 tff(22708,plain,
% 40.26/26.70 (v86(constB69) | (~v148(constB69))),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22707, 10837, 22701])).
% 40.26/26.70 tff(22709,plain,
% 40.26/26.70 (v86(constB69)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22708, 22682])).
% 40.26/26.70 tff(22710,plain,
% 40.26/26.70 ($false),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22709, 22630])).
% 40.26/26.70 tff(22711,plain,((~(constB69 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.26/26.70 tff(22712,plain,
% 40.26/26.70 (~(constB69 = sK0_VarCurr)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22711, 72])).
% 40.26/26.70 tff(22713,assumption,(constB151 = sK0_VarCurr), introduced(assumption)).
% 40.26/26.70 tff(22714,plain,
% 40.26/26.70 (v180(constB151) <=> v180(sK0_VarCurr)),
% 40.26/26.70 inference(monotonicity,[status(thm)],[22713])).
% 40.26/26.70 tff(22715,plain,
% 40.26/26.70 (v180(sK0_VarCurr) <=> v180(constB151)),
% 40.26/26.70 inference(symmetry,[status(thm)],[22714])).
% 40.26/26.70 tff(22716,plain,
% 40.26/26.70 (v180(constB151)),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[11002, 22715])).
% 40.26/26.70 tff(22717,plain,
% 40.26/26.70 (v118(constB147)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19264, 778, 19260])).
% 40.26/26.70 tff(22718,plain,
% 40.26/26.70 (v117(constB147)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19268, 250, 22717])).
% 40.26/26.70 tff(22719,plain,
% 40.26/26.70 (v116(constB147)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19272, 261, 22718])).
% 40.26/26.70 tff(22720,plain,
% 40.26/26.70 (v115(constB147)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19276, 272, 22719])).
% 40.26/26.70 tff(22721,plain,
% 40.26/26.70 (v114(constB147)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19280, 283, 22720])).
% 40.26/26.70 tff(22722,plain,
% 40.26/26.70 (v113(constB147)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19284, 294, 22721])).
% 40.26/26.70 tff(22723,plain,
% 40.26/26.70 (v112(constB147)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19296, 22722])).
% 40.26/26.70 tff(22724,plain,
% 40.26/26.70 (v108(constB147)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19300, 320, 22723])).
% 40.26/26.70 tff(22725,plain,
% 40.26/26.70 (v110(constB148)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19311, 22724])).
% 40.26/26.70 tff(22726,plain,
% 40.26/26.70 (v100(constB148)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19337, 22725])).
% 40.26/26.70 tff(22727,plain,
% 40.26/26.70 (~v130(constB147, bitIndex2)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19341, 685, 19260])).
% 40.26/26.70 tff(22728,plain,
% 40.26/26.70 (~v127(constB147, bitIndex2)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19349, 22727])).
% 40.26/26.70 tff(22729,plain,
% 40.26/26.70 (~v129(constB148, bitIndex2)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19354, 22728])).
% 40.26/26.70 tff(22730,plain,
% 40.26/26.70 ((~v90(constB148, bitIndex2)) | (~v100(constB148))),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19361, 468, 22729])).
% 40.26/26.70 tff(22731,plain,
% 40.26/26.70 (~v90(constB148, bitIndex2)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22730, 22726])).
% 40.26/26.70 tff(22732,plain,
% 40.26/26.70 (~v90(constB149, bitIndex2)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19389, 22731])).
% 40.26/26.70 tff(22733,plain,
% 40.26/26.70 (((~![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)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22734,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22735,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22734, 22733])).
% 40.26/26.70 tff(22736,plain,
% 40.26/26.70 (~v88(constB149, bitIndex2)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22735, 22090, 22732])).
% 40.26/26.70 tff(22737,plain,
% 40.26/26.70 (~v130(constB147, bitIndex0)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19424, 930, 19260])).
% 40.26/26.70 tff(22738,plain,
% 40.26/26.70 (~v127(constB147, bitIndex0)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19432, 22737])).
% 40.26/26.70 tff(22739,plain,
% 40.26/26.70 (~v129(constB148, bitIndex0)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19437, 22738])).
% 40.26/26.70 tff(22740,plain,
% 40.26/26.70 ((~v90(constB148, bitIndex0)) | (~v100(constB148))),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19444, 977, 22739])).
% 40.26/26.70 tff(22741,plain,
% 40.26/26.70 (~v90(constB148, bitIndex0)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22740, 22726])).
% 40.26/26.70 tff(22742,plain,
% 40.26/26.70 (~v90(constB149, bitIndex0)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19454, 22741])).
% 40.26/26.70 tff(22743,plain,
% 40.26/26.70 (((~![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)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22744,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22745,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22744, 22743])).
% 40.26/26.70 tff(22746,plain,
% 40.26/26.70 (~v88(constB149, bitIndex0)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22745, 14645, 22742])).
% 40.26/26.70 tff(22747,plain,
% 40.26/26.70 (v130(constB147, bitIndex1)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19393, 868, 19260])).
% 40.26/26.70 tff(22748,plain,
% 40.26/26.70 (v127(constB147, bitIndex1)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19398, 22747])).
% 40.26/26.70 tff(22749,plain,
% 40.26/26.70 (v129(constB148, bitIndex1)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19403, 22748])).
% 40.26/26.70 tff(22750,plain,
% 40.26/26.70 (v90(constB148, bitIndex1) | (~v100(constB148))),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19410, 912, 22749])).
% 40.26/26.70 tff(22751,plain,
% 40.26/26.70 (v90(constB148, bitIndex1)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22750, 22726])).
% 40.26/26.70 tff(22752,plain,
% 40.26/26.70 (v90(constB149, bitIndex1)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[19420, 22751])).
% 40.26/26.70 tff(22753,plain,
% 40.26/26.70 (((~![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))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22754,plain,
% 40.26/26.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22755,plain,
% 40.26/26.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1)),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22754, 22753])).
% 40.26/26.70 tff(22756,plain,
% 40.26/26.70 (v88(constB149, bitIndex1)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22755, 21131, 22752])).
% 40.26/26.70 tff(22757,plain,
% 40.26/26.70 (^[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)))),
% 40.26/26.70 inference(bind,[status(th)],[])).
% 40.26/26.70 tff(22758,plain,
% 40.26/26.70 (![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))),
% 40.26/26.70 inference(quant_intro,[status(thm)],[22757])).
% 40.26/26.70 tff(22759,plain,
% 40.26/26.70 (![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))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22760,plain,
% 40.26/26.70 (^[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))))),
% 40.26/26.70 inference(bind,[status(th)],[])).
% 40.26/26.70 tff(22761,plain,
% 40.26/26.70 (![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))),
% 40.26/26.70 inference(quant_intro,[status(thm)],[22760])).
% 40.26/26.70 tff(22762,axiom,(![VarCurr: $i] : (((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 40.26/26.70 tff(22763,plain,
% 40.26/26.70 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22762, 22761])).
% 40.26/26.70 tff(22764,plain,
% 40.26/26.70 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22763, 22759])).
% 40.26/26.70 tff(22765,plain,(
% 40.26/26.70 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 40.26/26.70 inference(skolemize,[status(sab)],[22764])).
% 40.26/26.70 tff(22766,plain,
% 40.26/26.70 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22765, 22758])).
% 40.26/26.70 tff(22767,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v143(constB149) | v88(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v143(constB149) | v88(constB149, bitIndex0))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22768,plain,
% 40.26/26.70 ((v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149)) <=> ((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v143(constB149) | v88(constB149, bitIndex0))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22769,plain,
% 40.26/26.70 (((~![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, bitIndex1)) | v88(constB149, bitIndex2) | v143(constB149) | v88(constB149, bitIndex0)))),
% 40.26/26.70 inference(monotonicity,[status(thm)],[22768])).
% 40.26/26.70 tff(22770,plain,
% 40.26/26.70 (((~![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, bitIndex1)) | v88(constB149, bitIndex2) | v143(constB149) | v88(constB149, bitIndex0))),
% 40.26/26.70 inference(transitivity,[status(thm)],[22769, 22767])).
% 40.26/26.70 tff(22771,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22772,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v143(constB149) | v88(constB149, bitIndex0)),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22771, 22770])).
% 40.26/26.70 tff(22773,plain,
% 40.26/26.70 (v143(constB149)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22772, 22766, 22756, 22746, 22736])).
% 40.26/26.70 tff(22774,plain,
% 40.26/26.70 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v143(VarCurr))) <=> (v142(VarCurr) | (~v143(VarCurr))))),
% 40.26/26.70 inference(bind,[status(th)],[])).
% 40.26/26.70 tff(22775,plain,
% 40.26/26.70 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 40.26/26.70 inference(quant_intro,[status(thm)],[22774])).
% 40.26/26.70 tff(22776,plain,
% 40.26/26.70 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22777,axiom,(![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 40.26/26.70 tff(22778,plain,
% 40.26/26.70 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22777, 22776])).
% 40.26/26.70 tff(22779,plain,(
% 40.26/26.70 ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 40.26/26.70 inference(skolemize,[status(sab)],[22778])).
% 40.26/26.70 tff(22780,plain,
% 40.26/26.70 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22779, 22775])).
% 40.26/26.70 tff(22781,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB149) | (~v143(constB149)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB149) | (~v143(constB149)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22782,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB149) | (~v143(constB149)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22783,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB149) | (~v143(constB149))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22782, 22781])).
% 40.26/26.70 tff(22784,plain,
% 40.26/26.70 (v142(constB149)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22783, 22780, 22773])).
% 40.26/26.70 tff(22785,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB149) | (~v142(constB149)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB149) | (~v142(constB149)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22786,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB149) | (~v142(constB149)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22787,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB149) | (~v142(constB149))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22786, 22785])).
% 40.26/26.70 tff(22788,plain,
% 40.26/26.70 (v166(constB149)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22787, 21170, 22784])).
% 40.26/26.70 tff(22789,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB149) | (~v166(constB149)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB149) | (~v166(constB149)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22790,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB149) | (~v166(constB149)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22791,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB149) | (~v166(constB149))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22790, 22789])).
% 40.26/26.70 tff(22792,plain,
% 40.26/26.70 (v165(constB149)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22791, 21181, 22788])).
% 40.26/26.70 tff(22793,plain,
% 40.26/26.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB149)) | (~v88(constB149, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB149)) | (~v88(constB149, bitIndex1)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22794,plain,
% 40.26/26.70 (((~v88(constB149, bitIndex1)) | (~v139(constB149))) <=> ((~v139(constB149)) | (~v88(constB149, bitIndex1)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22795,plain,
% 40.26/26.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v139(constB149)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB149)) | (~v88(constB149, bitIndex1))))),
% 40.26/26.70 inference(monotonicity,[status(thm)],[22794])).
% 40.26/26.70 tff(22796,plain,
% 40.26/26.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v139(constB149)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB149)) | (~v88(constB149, bitIndex1)))),
% 40.26/26.70 inference(transitivity,[status(thm)],[22795, 22793])).
% 40.26/26.70 tff(22797,plain,
% 40.26/26.70 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v139(constB149)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22798,plain,
% 40.26/26.70 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB149)) | (~v88(constB149, bitIndex1))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22797, 22796])).
% 40.26/26.70 tff(22799,plain,
% 40.26/26.70 (~v139(constB149)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22798, 21192, 22756])).
% 40.26/26.70 tff(22800,plain,
% 40.26/26.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB149)) | (~v88(constB149, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB149)) | (~v88(constB149, bitIndex1)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22801,plain,
% 40.26/26.70 (((~v88(constB149, bitIndex1)) | (~v140(constB149))) <=> ((~v140(constB149)) | (~v88(constB149, bitIndex1)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22802,plain,
% 40.26/26.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v140(constB149)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB149)) | (~v88(constB149, bitIndex1))))),
% 40.26/26.70 inference(monotonicity,[status(thm)],[22801])).
% 40.26/26.70 tff(22803,plain,
% 40.26/26.70 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v140(constB149)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB149)) | (~v88(constB149, bitIndex1)))),
% 40.26/26.70 inference(transitivity,[status(thm)],[22802, 22800])).
% 40.26/26.70 tff(22804,plain,
% 40.26/26.70 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v140(constB149)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22805,plain,
% 40.26/26.70 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB149)) | (~v88(constB149, bitIndex1))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22804, 22803])).
% 40.26/26.70 tff(22806,plain,
% 40.26/26.70 (~v140(constB149)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22805, 21203, 22756])).
% 40.26/26.70 tff(22807,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB149)) | v139(constB149) | v140(constB149))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB149)) | v139(constB149) | v140(constB149))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22808,plain,
% 40.26/26.70 ((v140(constB149) | v139(constB149) | (~v170(constB149))) <=> ((~v170(constB149)) | v139(constB149) | v140(constB149))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22809,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v170(constB149)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB149)) | v139(constB149) | v140(constB149)))),
% 40.26/26.70 inference(monotonicity,[status(thm)],[22808])).
% 40.26/26.70 tff(22810,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v170(constB149)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB149)) | v139(constB149) | v140(constB149))),
% 40.26/26.70 inference(transitivity,[status(thm)],[22809, 22807])).
% 40.26/26.70 tff(22811,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v170(constB149)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22812,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB149)) | v139(constB149) | v140(constB149)),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22811, 22810])).
% 40.26/26.70 tff(22813,plain,
% 40.26/26.70 (~v170(constB149)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22812, 10647, 22806, 22799])).
% 40.26/26.70 tff(22814,plain,
% 40.26/26.70 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex0) | (~v141(VarCurr))) <=> (v88(VarCurr, bitIndex0) | (~v141(VarCurr))))),
% 40.26/26.70 inference(bind,[status(th)],[])).
% 40.26/26.70 tff(22815,plain,
% 40.26/26.70 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 40.26/26.70 inference(quant_intro,[status(thm)],[22814])).
% 40.26/26.70 tff(22816,plain,
% 40.26/26.70 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22817,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_3')).
% 40.26/26.70 tff(22818,plain,
% 40.26/26.70 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22817, 22816])).
% 40.26/26.70 tff(22819,plain,(
% 40.26/26.70 ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 40.26/26.70 inference(skolemize,[status(sab)],[22818])).
% 40.26/26.70 tff(22820,plain,
% 40.26/26.70 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22819, 22815])).
% 40.26/26.70 tff(22821,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | ((~v141(constB149)) | v88(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB149)) | v88(constB149, bitIndex0))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22822,plain,
% 40.26/26.70 ((v88(constB149, bitIndex0) | (~v141(constB149))) <=> ((~v141(constB149)) | v88(constB149, bitIndex0))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22823,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB149, bitIndex0) | (~v141(constB149)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | ((~v141(constB149)) | v88(constB149, bitIndex0)))),
% 40.26/26.70 inference(monotonicity,[status(thm)],[22822])).
% 40.26/26.70 tff(22824,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB149, bitIndex0) | (~v141(constB149)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB149)) | v88(constB149, bitIndex0))),
% 40.26/26.70 inference(transitivity,[status(thm)],[22823, 22821])).
% 40.26/26.70 tff(22825,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB149, bitIndex0) | (~v141(constB149)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22826,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB149)) | v88(constB149, bitIndex0)),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22825, 22824])).
% 40.26/26.70 tff(22827,plain,
% 40.26/26.70 (~v141(constB149)),
% 40.26/26.70 inference(unit_resolution,[status(thm)],[22826, 22820, 22746])).
% 40.26/26.70 tff(22828,plain,
% 40.26/26.70 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB149) | v170(constB149) | (~v169(constB149)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB149) | v170(constB149) | (~v169(constB149)))),
% 40.26/26.70 inference(rewrite,[status(thm)],[])).
% 40.26/26.70 tff(22829,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB149) | v170(constB149) | (~v169(constB149)))),
% 40.26/26.70 inference(quant_inst,[status(thm)],[])).
% 40.26/26.70 tff(22830,plain,
% 40.26/26.70 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB149) | v170(constB149) | (~v169(constB149))),
% 40.26/26.70 inference(modus_ponens,[status(thm)],[22829, 22828])).
% 40.26/26.70 tff(22831,plain,
% 40.26/26.70 (~v169(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22830, 11040, 22827, 22813])).
% 40.26/26.71 tff(22832,plain,
% 40.26/26.71 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB149)) | v169(constB149) | (~v165(constB149)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB149)) | v169(constB149) | (~v165(constB149)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22833,plain,
% 40.26/26.71 (((~v165(constB149)) | v169(constB149) | (~v162(constB149))) <=> ((~v162(constB149)) | v169(constB149) | (~v165(constB149)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22834,plain,
% 40.26/26.71 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB149)) | v169(constB149) | (~v162(constB149)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB149)) | v169(constB149) | (~v165(constB149))))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[22833])).
% 40.26/26.71 tff(22835,plain,
% 40.26/26.71 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB149)) | v169(constB149) | (~v162(constB149)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB149)) | v169(constB149) | (~v165(constB149)))),
% 40.26/26.71 inference(transitivity,[status(thm)],[22834, 22832])).
% 40.26/26.71 tff(22836,plain,
% 40.26/26.71 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB149)) | v169(constB149) | (~v162(constB149)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22837,plain,
% 40.26/26.71 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB149)) | v169(constB149) | (~v165(constB149))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22836, 22835])).
% 40.26/26.71 tff(22838,plain,
% 40.26/26.71 ((~v162(constB149)) | (~v165(constB149))),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22837, 11073, 22831])).
% 40.26/26.71 tff(22839,plain,
% 40.26/26.71 (~v162(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22838, 22792])).
% 40.26/26.71 tff(22840,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB149) | (~v187(constB149)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB149) | (~v187(constB149)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22841,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB149) | (~v187(constB149)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22842,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB149) | (~v187(constB149))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22841, 22840])).
% 40.26/26.71 tff(22843,plain,
% 40.26/26.71 (~v187(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22842, 11087, 22839])).
% 40.26/26.71 tff(22844,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB149) | (~v185(constB149)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB149) | (~v185(constB149)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22845,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB149) | (~v185(constB149)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22846,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB149) | (~v185(constB149))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22845, 22844])).
% 40.26/26.71 tff(22847,plain,
% 40.26/26.71 (~v185(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22846, 11098, 22843])).
% 40.26/26.71 tff(22848,assumption,(v18(constB150)), introduced(assumption)).
% 40.26/26.71 tff(22849,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB150))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22850,plain,
% 40.26/26.71 ($false),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22849, 11110, 22848])).
% 40.26/26.71 tff(22851,plain,(~v18(constB150)), inference(lemma,lemma(discharge,[]))).
% 40.26/26.71 tff(22852,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB150) | (~v1(constB150)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB150) | (~v1(constB150)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22853,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB150) | (~v1(constB150)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22854,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB150) | (~v1(constB150))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22853, 22852])).
% 40.26/26.71 tff(22855,plain,
% 40.26/26.71 (v22(constB150)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22854, 11120, 19523])).
% 40.26/26.71 tff(22856,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB150)) | (~v22(constB150)) | v18(constB150))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB150)) | (~v22(constB150)) | v18(constB150))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22857,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB150)) | (~v22(constB150)) | v18(constB150))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22858,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB150)) | (~v22(constB150)) | v18(constB150)),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22857, 22856])).
% 40.26/26.71 tff(22859,plain,
% 40.26/26.71 ((~v19(constB150)) | v18(constB150)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22858, 11134, 22855])).
% 40.26/26.71 tff(22860,plain,
% 40.26/26.71 (~v19(constB150)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22859, 22851])).
% 40.26/26.71 tff(22861,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB150) | v19(constB150))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB150) | v19(constB150))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22862,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB150) | v19(constB150))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22863,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB150) | v19(constB150)),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22862, 22861])).
% 40.26/26.71 tff(22864,plain,
% 40.26/26.71 (v13(constB150)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22863, 11149, 22860])).
% 40.26/26.71 tff(22865,plain,
% 40.26/26.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22866,plain,
% 40.26/26.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22867,plain,
% 40.26/26.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149)),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22866, 22865])).
% 40.26/26.71 tff(22868,plain,
% 40.26/26.71 ((~v13(constB150)) | v9(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22867, 11163, 19503])).
% 40.26/26.71 tff(22869,plain,
% 40.26/26.71 (v9(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22868, 22864])).
% 40.26/26.71 tff(22870,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB149) | (~v9(constB149)) | v184(constB149))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB149) | (~v9(constB149)) | v184(constB149))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22871,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB149) | (~v9(constB149)) | v184(constB149))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22872,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB149) | (~v9(constB149)) | v184(constB149)),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22871, 22870])).
% 40.26/26.71 tff(22873,plain,
% 40.26/26.71 ((~v9(constB149)) | v184(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22872, 11178, 19366])).
% 40.26/26.71 tff(22874,plain,
% 40.26/26.71 (v184(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22873, 22869])).
% 40.26/26.71 tff(22875,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB149) | (~v184(constB149)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB149) | (~v184(constB149)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22876,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB149) | (~v184(constB149)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22877,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB149) | (~v184(constB149))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22876, 22875])).
% 40.26/26.71 tff(22878,plain,
% 40.26/26.71 (v183(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22877, 11190, 22874])).
% 40.26/26.71 tff(22879,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB149)) | (~v183(constB149)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB149)) | (~v183(constB149)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22880,plain,
% 40.26/26.71 (((~v183(constB149)) | (~v181(constB149))) <=> ((~v181(constB149)) | (~v183(constB149)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22881,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB149)) | (~v181(constB149)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB149)) | (~v183(constB149))))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[22880])).
% 40.26/26.71 tff(22882,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB149)) | (~v181(constB149)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB149)) | (~v183(constB149)))),
% 40.26/26.71 inference(transitivity,[status(thm)],[22881, 22879])).
% 40.26/26.71 tff(22883,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB149)) | (~v181(constB149)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22884,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB149)) | (~v183(constB149))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22883, 22882])).
% 40.26/26.71 tff(22885,plain,
% 40.26/26.71 (~v181(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22884, 11201, 22878])).
% 40.26/26.71 tff(22886,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB149) | v185(constB149) | (~v178(constB149)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB149) | v185(constB149) | (~v178(constB149)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22887,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB149) | v185(constB149) | (~v178(constB149)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22888,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB149) | v185(constB149) | (~v178(constB149))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22887, 22886])).
% 40.26/26.71 tff(22889,plain,
% 40.26/26.71 (v185(constB149) | (~v178(constB149))),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22888, 11215, 22885])).
% 40.26/26.71 tff(22890,plain,
% 40.26/26.71 (~v178(constB149)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22889, 22847])).
% 40.26/26.71 tff(22891,plain,
% 40.26/26.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22892,plain,
% 40.26/26.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22893,plain,
% 40.26/26.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22892, 22891])).
% 40.26/26.71 tff(22894,plain,
% 40.26/26.71 (v178(constB149) | (~v180(constB150))),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22893, 11230, 19503])).
% 40.26/26.71 tff(22895,plain,
% 40.26/26.71 (~v180(constB150)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22894, 22890])).
% 40.26/26.71 tff(22896,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB150) | (~v181(constB150)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB150) | (~v181(constB150)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22897,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB150) | (~v181(constB150)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22898,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB150) | (~v181(constB150))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22897, 22896])).
% 40.26/26.71 tff(22899,plain,
% 40.26/26.71 (~v181(constB150)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22898, 11242, 22895])).
% 40.26/26.71 tff(22900,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB150)) | (~v184(constB150)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB150)) | (~v184(constB150)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22901,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB150)) | (~v184(constB150)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22902,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB150)) | (~v184(constB150))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22901, 22900])).
% 40.26/26.71 tff(22903,plain,
% 40.26/26.71 (~v184(constB150)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22902, 11253, 19523])).
% 40.26/26.71 tff(22904,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB150) | (~v187(constB150)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB150) | (~v187(constB150)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22905,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB150) | (~v187(constB150)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22906,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB150) | (~v187(constB150))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22905, 22904])).
% 40.26/26.71 tff(22907,plain,
% 40.26/26.71 (~v187(constB150)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22906, 11264, 22903])).
% 40.26/26.71 tff(22908,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB150) | (~v185(constB150)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB150) | (~v185(constB150)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22909,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB150) | (~v185(constB150)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22910,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB150) | (~v185(constB150))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22909, 22908])).
% 40.26/26.71 tff(22911,plain,
% 40.26/26.71 (~v185(constB150)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22910, 11098, 22907])).
% 40.26/26.71 tff(22912,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB150) | v185(constB150) | (~v178(constB150)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB150) | v185(constB150) | (~v178(constB150)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22913,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB150) | v185(constB150) | (~v178(constB150)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22914,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB150) | v185(constB150) | (~v178(constB150))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22913, 22912])).
% 40.26/26.71 tff(22915,plain,
% 40.26/26.71 (v181(constB150) | (~v178(constB150))),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22914, 11215, 22911])).
% 40.26/26.71 tff(22916,plain,
% 40.26/26.71 (~v178(constB150)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22915, 22899])).
% 40.26/26.71 tff(22917,plain,
% 40.26/26.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22918,plain,
% 40.26/26.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22919,plain,
% 40.26/26.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22918, 22917])).
% 40.26/26.71 tff(22920,plain,
% 40.26/26.71 (v178(constB150) | (~v180(constB151))),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22919, 11230, 19568])).
% 40.26/26.71 tff(22921,plain,
% 40.26/26.71 (~v180(constB151)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22920, 22916])).
% 40.26/26.71 tff(22922,plain,
% 40.26/26.71 ($false),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22921, 22716])).
% 40.26/26.71 tff(22923,plain,((~(constB151 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.26/26.71 tff(22924,plain,
% 40.26/26.71 (~(constB151 = sK0_VarCurr)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22923, 10998])).
% 40.26/26.71 tff(22925,assumption,(constB105 = sK0_VarCurr), introduced(assumption)).
% 40.26/26.71 tff(22926,plain,
% 40.26/26.71 (v86(constB105) <=> v86(sK0_VarCurr)),
% 40.26/26.71 inference(monotonicity,[status(thm)],[22925])).
% 40.26/26.71 tff(22927,plain,
% 40.26/26.71 (v86(sK0_VarCurr) <=> v86(constB105)),
% 40.26/26.71 inference(symmetry,[status(thm)],[22926])).
% 40.26/26.71 tff(22928,plain,
% 40.26/26.71 ((~v86(sK0_VarCurr)) <=> (~v86(constB105))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[22927])).
% 40.26/26.71 tff(22929,plain,
% 40.26/26.71 (~v86(constB105)),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[77, 22928])).
% 40.26/26.71 tff(22930,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22931,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22932,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB105, bitIndex2)) | v88(constB105, bitIndex2)),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22931, 22930])).
% 40.26/26.71 tff(22933,plain,
% 40.26/26.71 (v88(constB105, bitIndex2)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22932, 10566, 13389])).
% 40.26/26.71 tff(22934,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v139(constB105)) | (~v88(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB105)) | (~v88(constB105, bitIndex2)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22935,plain,
% 40.26/26.71 (((~v88(constB105, bitIndex2)) | (~v139(constB105))) <=> ((~v139(constB105)) | (~v88(constB105, bitIndex2)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22936,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v139(constB105)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v139(constB105)) | (~v88(constB105, bitIndex2))))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[22935])).
% 40.26/26.71 tff(22937,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v139(constB105)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB105)) | (~v88(constB105, bitIndex2)))),
% 40.26/26.71 inference(transitivity,[status(thm)],[22936, 22934])).
% 40.26/26.71 tff(22938,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v139(constB105)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22939,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB105)) | (~v88(constB105, bitIndex2))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22938, 22937])).
% 40.26/26.71 tff(22940,plain,
% 40.26/26.71 (~v139(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22939, 10904, 22933])).
% 40.26/26.71 tff(22941,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v140(constB105)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB105, bitIndex2)) | (~v140(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22942,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v140(constB105)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22943,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB105, bitIndex2)) | (~v140(constB105))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22942, 22941])).
% 40.26/26.71 tff(22944,plain,
% 40.26/26.71 (~v140(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22943, 10577, 22933])).
% 40.26/26.71 tff(22945,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB105) | v140(constB105) | (~v170(constB105)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB105) | v140(constB105) | (~v170(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22946,plain,
% 40.26/26.71 ((v140(constB105) | v139(constB105) | (~v170(constB105))) <=> (v139(constB105) | v140(constB105) | (~v170(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22947,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB105) | v139(constB105) | (~v170(constB105)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB105) | v140(constB105) | (~v170(constB105))))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[22946])).
% 40.26/26.71 tff(22948,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB105) | v139(constB105) | (~v170(constB105)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB105) | v140(constB105) | (~v170(constB105)))),
% 40.26/26.71 inference(transitivity,[status(thm)],[22947, 22945])).
% 40.26/26.71 tff(22949,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB105) | v139(constB105) | (~v170(constB105)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22950,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB105) | v140(constB105) | (~v170(constB105))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22949, 22948])).
% 40.26/26.71 tff(22951,plain,
% 40.26/26.71 (~v170(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22950, 10647, 22944, 22940])).
% 40.26/26.71 tff(22952,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v141(constB105)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB105, bitIndex2)) | (~v141(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22953,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v141(constB105)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22954,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB105, bitIndex2)) | (~v141(constB105))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22953, 22952])).
% 40.26/26.71 tff(22955,plain,
% 40.26/26.71 (~v141(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22954, 10658, 22933])).
% 40.26/26.71 tff(22956,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB105) | v170(constB105) | (~v167(constB105)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB105) | v170(constB105) | (~v167(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22957,plain,
% 40.26/26.71 ((v141(constB105) | (~v167(constB105)) | v170(constB105)) <=> (v141(constB105) | v170(constB105) | (~v167(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22958,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB105) | (~v167(constB105)) | v170(constB105))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB105) | v170(constB105) | (~v167(constB105))))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[22957])).
% 40.26/26.71 tff(22959,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB105) | (~v167(constB105)) | v170(constB105))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB105) | v170(constB105) | (~v167(constB105)))),
% 40.26/26.71 inference(transitivity,[status(thm)],[22958, 22956])).
% 40.26/26.71 tff(22960,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB105) | (~v167(constB105)) | v170(constB105))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22961,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB105) | v170(constB105) | (~v167(constB105))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22960, 22959])).
% 40.26/26.71 tff(22962,plain,
% 40.26/26.71 (v170(constB105) | (~v167(constB105))),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22961, 10672, 22955])).
% 40.26/26.71 tff(22963,plain,
% 40.26/26.71 (~v167(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22962, 22951])).
% 40.26/26.71 tff(22964,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB105, bitIndex1) | (~v88(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB105, bitIndex1) | (~v88(constB105, bitIndex1)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22965,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB105, bitIndex1) | (~v88(constB105, bitIndex1)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22966,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB105, bitIndex1) | (~v88(constB105, bitIndex1))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22965, 22964])).
% 40.26/26.71 tff(22967,plain,
% 40.26/26.71 (~v88(constB105, bitIndex1)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22966, 10784, 13423])).
% 40.26/26.71 tff(22968,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB105)) | v88(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB105)) | v88(constB105, bitIndex1))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22969,plain,
% 40.26/26.71 ((v88(constB105, bitIndex1) | (~v144(constB105))) <=> ((~v144(constB105)) | v88(constB105, bitIndex1))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22970,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB105, bitIndex1) | (~v144(constB105)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB105)) | v88(constB105, bitIndex1)))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[22969])).
% 40.26/26.71 tff(22971,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB105, bitIndex1) | (~v144(constB105)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB105)) | v88(constB105, bitIndex1))),
% 40.26/26.71 inference(transitivity,[status(thm)],[22970, 22968])).
% 40.26/26.71 tff(22972,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB105, bitIndex1) | (~v144(constB105)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22973,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB105)) | v88(constB105, bitIndex1)),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 40.26/26.71 tff(22974,plain,
% 40.26/26.71 (~v144(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22973, 10868, 22967])).
% 40.26/26.71 tff(22975,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v143(constB105)) | (~v88(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB105)) | (~v88(constB105, bitIndex2)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22976,plain,
% 40.26/26.71 (((~v88(constB105, bitIndex2)) | (~v143(constB105))) <=> ((~v143(constB105)) | (~v88(constB105, bitIndex2)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22977,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v143(constB105)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v143(constB105)) | (~v88(constB105, bitIndex2))))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[22976])).
% 40.26/26.71 tff(22978,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v143(constB105)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB105)) | (~v88(constB105, bitIndex2)))),
% 40.26/26.71 inference(transitivity,[status(thm)],[22977, 22975])).
% 40.26/26.71 tff(22979,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB105, bitIndex2)) | (~v143(constB105)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22980,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB105)) | (~v88(constB105, bitIndex2))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22979, 22978])).
% 40.26/26.71 tff(22981,plain,
% 40.26/26.71 (~v143(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22980, 10885, 22933])).
% 40.26/26.71 tff(22982,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB105) | v144(constB105) | (~v142(constB105)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB105) | v144(constB105) | (~v142(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22983,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB105) | v144(constB105) | (~v142(constB105)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22984,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB105) | v144(constB105) | (~v142(constB105))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22983, 22982])).
% 40.26/26.71 tff(22985,plain,
% 40.26/26.71 (~v142(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22984, 10711, 22981, 22974])).
% 40.26/26.71 tff(22986,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | ((~v166(constB105)) | v142(constB105) | v167(constB105))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB105)) | v142(constB105) | v167(constB105))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22987,plain,
% 40.26/26.71 ((v142(constB105) | (~v166(constB105)) | v167(constB105)) <=> ((~v166(constB105)) | v142(constB105) | v167(constB105))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22988,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB105) | (~v166(constB105)) | v167(constB105))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | ((~v166(constB105)) | v142(constB105) | v167(constB105)))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[22987])).
% 40.26/26.71 tff(22989,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB105) | (~v166(constB105)) | v167(constB105))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB105)) | v142(constB105) | v167(constB105))),
% 40.26/26.71 inference(transitivity,[status(thm)],[22988, 22986])).
% 40.26/26.71 tff(22990,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB105) | (~v166(constB105)) | v167(constB105))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22991,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB105)) | v142(constB105) | v167(constB105)),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22990, 22989])).
% 40.26/26.71 tff(22992,plain,
% 40.26/26.71 (~v166(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22991, 10725, 22985, 22963])).
% 40.26/26.71 tff(22993,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB105) | v166(constB105))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB105) | v166(constB105))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22994,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB105) | v166(constB105))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22995,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB105) | v166(constB105)),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22994, 22993])).
% 40.26/26.71 tff(22996,plain,
% 40.26/26.71 (v148(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22995, 10739, 22992])).
% 40.26/26.71 tff(22997,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(22998,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(22999,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB105, bitIndex0) | (~v88(constB105, bitIndex0))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[22998, 22997])).
% 40.26/26.71 tff(23000,plain,
% 40.26/26.71 (~v88(constB105, bitIndex0)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[22999, 14645, 13457])).
% 40.26/26.71 tff(23001,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB105, bitIndex0) | v146(constB105) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB105, bitIndex0) | v146(constB105) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(23002,plain,
% 40.26/26.71 (((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0) | v146(constB105)) <=> (v88(constB105, bitIndex0) | v146(constB105) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(23003,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0) | v146(constB105))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB105, bitIndex0) | v146(constB105) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1)))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[23002])).
% 40.26/26.71 tff(23004,plain,
% 40.26/26.71 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0) | v146(constB105))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB105, bitIndex0) | v146(constB105) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1))),
% 40.26/26.71 inference(transitivity,[status(thm)],[23003, 23001])).
% 40.26/26.71 tff(23005,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0) | v146(constB105))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(23006,plain,
% 40.26/26.71 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB105, bitIndex0) | v146(constB105) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1)),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[23005, 23004])).
% 40.26/26.71 tff(23007,plain,
% 40.26/26.71 (v146(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[23006, 14659, 22933, 23000, 22967])).
% 40.26/26.71 tff(23008,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB105) | (~v146(constB105)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB105) | (~v146(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(23009,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB105) | (~v146(constB105)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(23010,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB105) | (~v146(constB105))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[23009, 23008])).
% 40.26/26.71 tff(23011,plain,
% 40.26/26.71 (v145(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[23010, 14673, 23007])).
% 40.26/26.71 tff(23012,plain,
% 40.26/26.71 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB105) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB105) | (~v145(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(23013,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB105) | (~v145(constB105)))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(23014,plain,
% 40.26/26.71 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB105) | (~v145(constB105))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[23013, 23012])).
% 40.26/26.71 tff(23015,plain,
% 40.26/26.71 (v165(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[23014, 10823, 23011])).
% 40.26/26.71 tff(23016,plain,
% 40.26/26.71 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB105) | (~v148(constB105)) | (~v165(constB105)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB105) | (~v148(constB105)) | (~v165(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(23017,plain,
% 40.26/26.71 (((~v148(constB105)) | (~v165(constB105)) | v86(constB105)) <=> (v86(constB105) | (~v148(constB105)) | (~v165(constB105)))),
% 40.26/26.71 inference(rewrite,[status(thm)],[])).
% 40.26/26.71 tff(23018,plain,
% 40.26/26.71 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB105)) | (~v165(constB105)) | v86(constB105))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB105) | (~v148(constB105)) | (~v165(constB105))))),
% 40.26/26.71 inference(monotonicity,[status(thm)],[23017])).
% 40.26/26.71 tff(23019,plain,
% 40.26/26.71 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB105)) | (~v165(constB105)) | v86(constB105))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB105) | (~v148(constB105)) | (~v165(constB105)))),
% 40.26/26.71 inference(transitivity,[status(thm)],[23018, 23016])).
% 40.26/26.71 tff(23020,plain,
% 40.26/26.71 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB105)) | (~v165(constB105)) | v86(constB105))),
% 40.26/26.71 inference(quant_inst,[status(thm)],[])).
% 40.26/26.71 tff(23021,plain,
% 40.26/26.71 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB105) | (~v148(constB105)) | (~v165(constB105))),
% 40.26/26.71 inference(modus_ponens,[status(thm)],[23020, 23019])).
% 40.26/26.71 tff(23022,plain,
% 40.26/26.71 (v86(constB105) | (~v148(constB105))),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[23021, 10837, 23015])).
% 40.26/26.71 tff(23023,plain,
% 40.26/26.71 (v86(constB105)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[23022, 22996])).
% 40.26/26.71 tff(23024,plain,
% 40.26/26.71 ($false),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[23023, 22929])).
% 40.26/26.71 tff(23025,plain,((~(constB105 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.26/26.71 tff(23026,plain,
% 40.26/26.71 (~(constB105 = sK0_VarCurr)),
% 40.26/26.71 inference(unit_resolution,[status(thm)],[23025, 72])).
% 40.26/26.71 tff(23027,assumption,(constB197 = sK0_VarCurr), introduced(assumption)).
% 40.26/26.71 tff(23028,plain,
% 40.26/26.71 (v180(constB197) <=> v180(sK0_VarCurr)),
% 40.26/26.71 inference(monotonicity,[status(thm)],[23027])).
% 40.26/26.71 tff(23029,plain,
% 40.26/26.71 (v180(sK0_VarCurr) <=> v180(constB197)),
% 40.26/26.71 inference(symmetry,[status(thm)],[23028])).
% 40.28/26.72 tff(23030,plain,
% 40.28/26.72 (v180(constB197)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[11002, 23029])).
% 40.28/26.72 tff(23031,assumption,(~v114(constB165)), introduced(assumption)).
% 40.28/26.72 tff(23032,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB165) | (~v115(constB165)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB165) | (~v115(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23033,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB165) | (~v115(constB165)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23034,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB165) | (~v115(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23033, 23032])).
% 40.28/26.72 tff(23035,plain,
% 40.28/26.72 (~v115(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23034, 283, 23031])).
% 40.28/26.72 tff(23036,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB165) | (~v116(constB165)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB165) | (~v116(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23037,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB165) | (~v116(constB165)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23038,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB165) | (~v116(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23037, 23036])).
% 40.28/26.72 tff(23039,plain,
% 40.28/26.72 (~v116(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23038, 272, 23035])).
% 40.28/26.72 tff(23040,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB165) | (~v117(constB165)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB165) | (~v117(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23041,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB165) | (~v117(constB165)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23042,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB165) | (~v117(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23041, 23040])).
% 40.28/26.72 tff(23043,plain,
% 40.28/26.72 (~v117(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23042, 261, 23039])).
% 40.28/26.72 tff(23044,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB165) | (~v118(constB165)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB165) | (~v118(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23045,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB165) | (~v118(constB165)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23046,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB165) | (~v118(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23045, 23044])).
% 40.28/26.72 tff(23047,plain,
% 40.28/26.72 (~v118(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23046, 250, 23043])).
% 40.28/26.72 tff(23048,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB165) | (~v120(constB165)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB165) | (~v120(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23049,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB165) | (~v120(constB165)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23050,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB165) | (~v120(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23049, 23048])).
% 40.28/26.72 tff(23051,plain,
% 40.28/26.72 (~v120(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23050, 778, 23047])).
% 40.28/26.72 tff(23052,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB165) | (~v123(constB165)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB165) | (~v123(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23053,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB165) | (~v123(constB165)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23054,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB165) | (~v123(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23053, 23052])).
% 40.28/26.72 tff(23055,plain,
% 40.28/26.72 (~v123(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23054, 1247, 23035])).
% 40.28/26.72 tff(23056,assumption,(~v90(constB165, bitIndex1)), introduced(assumption)).
% 40.28/26.72 tff(23057,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB165) | (~v119(constB165)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB165) | (~v119(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23058,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB165) | (~v119(constB165)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23059,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB165) | (~v119(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23058, 23057])).
% 40.28/26.72 tff(23060,plain,
% 40.28/26.72 (~v119(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23059, 239, 23047])).
% 40.28/26.72 tff(23061,assumption,(~v119(constB165)), introduced(assumption)).
% 40.28/26.72 tff(23062,assumption,(~v90(constB165, bitIndex0)), introduced(assumption)).
% 40.28/26.72 tff(23063,assumption,(~v123(constB165)), introduced(assumption)).
% 40.28/26.72 tff(23064,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23065,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23066,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23065, 23064])).
% 40.28/26.72 tff(23067,plain,
% 40.28/26.72 (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)) | v123(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23066, 1280, 23056])).
% 40.28/26.72 tff(23068,plain,
% 40.28/26.72 (~v90(constB165, bitIndex2)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23067, 23062, 23063])).
% 40.28/26.72 tff(23069,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB165) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB165) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23070,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB165) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23071,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB165) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23070, 23069])).
% 40.28/26.72 tff(23072,plain,
% 40.28/26.72 (v119(constB165) | v90(constB165, bitIndex0) | v90(constB165, bitIndex2)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23071, 228, 23056])).
% 40.28/26.72 tff(23073,plain,
% 40.28/26.72 ($false),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23072, 23068, 23062, 23061])).
% 40.28/26.72 tff(23074,plain,(v90(constB165, bitIndex0) | v119(constB165) | v90(constB165, bitIndex1) | v123(constB165)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.72 tff(23075,plain,
% 40.28/26.72 (v90(constB165, bitIndex0)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23074, 23060, 23056, 23055])).
% 40.28/26.72 tff(23076,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB165) | (~v124(constB165)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB165) | (~v124(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23077,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB165) | (~v124(constB165)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23078,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB165) | (~v124(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23077, 23076])).
% 40.28/26.72 tff(23079,plain,
% 40.28/26.72 (~v124(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23078, 1236, 23031])).
% 40.28/26.72 tff(23080,plain,
% 40.28/26.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB165, bitIndex0)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v124(constB165))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB165, bitIndex0)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v124(constB165))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23081,plain,
% 40.28/26.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB165, bitIndex0)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v124(constB165))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23082,plain,
% 40.28/26.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB165, bitIndex0)) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v124(constB165)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23081, 23080])).
% 40.28/26.72 tff(23083,plain,
% 40.28/26.72 ((~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex2)) | v124(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23082, 1264, 23056])).
% 40.28/26.72 tff(23084,plain,
% 40.28/26.72 (~v90(constB165, bitIndex2)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23083, 23075, 23079])).
% 40.28/26.72 tff(23085,plain,
% 40.28/26.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex0)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | v120(constB165))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB165, bitIndex0)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | v120(constB165))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23086,plain,
% 40.28/26.72 (((~v90(constB165, bitIndex0)) | v120(constB165) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)) <=> ((~v90(constB165, bitIndex0)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | v120(constB165))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23087,plain,
% 40.28/26.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex0)) | v120(constB165) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex0)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | v120(constB165)))),
% 40.28/26.72 inference(monotonicity,[status(thm)],[23086])).
% 40.28/26.72 tff(23088,plain,
% 40.28/26.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex0)) | v120(constB165) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB165, bitIndex0)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | v120(constB165))),
% 40.28/26.72 inference(transitivity,[status(thm)],[23087, 23085])).
% 40.28/26.72 tff(23089,plain,
% 40.28/26.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB165, bitIndex0)) | v120(constB165) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23090,plain,
% 40.28/26.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB165, bitIndex0)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | v120(constB165)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23089, 23088])).
% 40.28/26.72 tff(23091,plain,
% 40.28/26.72 ((~v90(constB165, bitIndex0)) | v90(constB165, bitIndex2) | v120(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23090, 668, 23056])).
% 40.28/26.72 tff(23092,plain,
% 40.28/26.72 ($false),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23091, 23084, 23075, 23051])).
% 40.28/26.72 tff(23093,plain,(v114(constB165) | v90(constB165, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.72 tff(23094,plain,
% 40.28/26.72 (v114(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23093, 21006])).
% 40.28/26.72 tff(23095,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB165) | (~v114(constB165)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB165) | (~v114(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23096,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB165) | (~v114(constB165)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23097,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB165) | (~v114(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23096, 23095])).
% 40.28/26.72 tff(23098,plain,
% 40.28/26.72 (v113(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23097, 294, 23094])).
% 40.28/26.72 tff(23099,assumption,(v26(constB165)), introduced(assumption)).
% 40.28/26.72 tff(23100,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23101,plain,
% 40.28/26.72 ($false),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23100, 86, 23099])).
% 40.28/26.72 tff(23102,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.72 tff(23103,plain,
% 40.28/26.72 (((~![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))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23104,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23105,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | (~v113(constB165)) | v112(constB165)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23104, 23103])).
% 40.28/26.72 tff(23106,plain,
% 40.28/26.72 ((~v113(constB165)) | v112(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23105, 308, 23102])).
% 40.28/26.72 tff(23107,plain,
% 40.28/26.72 (v112(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23106, 23098])).
% 40.28/26.72 tff(23108,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23109,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23110,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23109, 23108])).
% 40.28/26.72 tff(23111,plain,
% 40.28/26.72 (v108(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23110, 320, 23107])).
% 40.28/26.72 tff(23112,plain,
% 40.28/26.72 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23113,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 40.28/26.72 tff(23114,plain,
% 40.28/26.72 (nextState(constB165, constB166)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23113, 23112])).
% 40.28/26.72 tff(23115,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23116,plain,
% 40.28/26.72 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23117,plain,
% 40.28/26.72 (((~![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))))),
% 40.28/26.72 inference(monotonicity,[status(thm)],[23116])).
% 40.28/26.72 tff(23118,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(transitivity,[status(thm)],[23117, 23115])).
% 40.28/26.72 tff(23119,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23120,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23119, 23118])).
% 40.28/26.72 tff(23121,plain,
% 40.28/26.72 (v110(constB166) | (~v108(constB165))),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23120, 337, 23114])).
% 40.28/26.72 tff(23122,plain,
% 40.28/26.72 (v110(constB166)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23121, 23111])).
% 40.28/26.72 tff(23123,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23124,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23125,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23124, 23123])).
% 40.28/26.72 tff(23126,plain,
% 40.28/26.72 (~v104(constB166)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23125, 355, 23114, 20917])).
% 40.28/26.72 tff(23127,plain,
% 40.28/26.72 (((~![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))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23128,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23129,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23128, 23127])).
% 40.28/26.72 tff(23130,plain,
% 40.28/26.72 (v102(constB166) | v104(constB166)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23129, 369, 23114])).
% 40.28/26.72 tff(23131,plain,
% 40.28/26.72 (v102(constB166)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23130, 23126])).
% 40.28/26.72 tff(23132,plain,
% 40.28/26.72 (v1(constB166) <=> v1(constB166)),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23133,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 40.28/26.72 tff(23134,plain,
% 40.28/26.72 (v1(constB166)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23133, 23132])).
% 40.28/26.72 tff(23135,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23136,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23137,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23136, 23135])).
% 40.28/26.72 tff(23138,plain,
% 40.28/26.72 (v101(constB166) | (~v102(constB166))),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23137, 387, 23114, 23134])).
% 40.28/26.72 tff(23139,plain,
% 40.28/26.72 (v101(constB166)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23138, 23131])).
% 40.28/26.72 tff(23140,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23141,plain,
% 40.28/26.72 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23142,plain,
% 40.28/26.72 (((~![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))))),
% 40.28/26.72 inference(monotonicity,[status(thm)],[23141])).
% 40.28/26.72 tff(23143,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(transitivity,[status(thm)],[23142, 23140])).
% 40.28/26.72 tff(23144,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23145,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23144, 23143])).
% 40.28/26.72 tff(23146,plain,
% 40.28/26.72 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23145, 402, 23114])).
% 40.28/26.72 tff(23147,plain,
% 40.28/26.72 (v100(constB166) | (~v110(constB166))),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23146, 23139])).
% 40.28/26.72 tff(23148,plain,
% 40.28/26.72 (v100(constB166)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23147, 23122])).
% 40.28/26.72 tff(23149,plain,
% 40.28/26.72 (v123(constB165)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23066, 1280, 21067, 21006, 20941])).
% 40.28/26.72 tff(23150,plain,
% 40.28/26.72 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB165)) | v130(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB165)) | v130(constB165, bitIndex2))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23151,plain,
% 40.28/26.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB165)) | v130(constB165, bitIndex2))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23152,plain,
% 40.28/26.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB165)) | v130(constB165, bitIndex2)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23151, 23150])).
% 40.28/26.72 tff(23153,plain,
% 40.28/26.72 (v130(constB165, bitIndex2)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23152, 2165, 23149])).
% 40.28/26.72 tff(23154,plain,
% 40.28/26.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23155,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23156,plain,
% 40.28/26.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23155, 23154])).
% 40.28/26.72 tff(23157,plain,
% 40.28/26.72 ((~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23156, 1821, 23102])).
% 40.28/26.72 tff(23158,plain,
% 40.28/26.72 (v127(constB165, bitIndex2)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23157, 23153])).
% 40.28/26.72 tff(23159,plain,
% 40.28/26.72 (((~![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))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23160,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23161,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23160, 23159])).
% 40.28/26.72 tff(23162,plain,
% 40.28/26.72 ((~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23161, 1836, 23114])).
% 40.28/26.72 tff(23163,plain,
% 40.28/26.72 (v129(constB166, bitIndex2)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23162, 23158])).
% 40.28/26.72 tff(23164,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23165,plain,
% 40.28/26.72 ((v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2))) <=> (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23166,plain,
% 40.28/26.72 (((~![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))))),
% 40.28/26.72 inference(monotonicity,[status(thm)],[23165])).
% 40.28/26.72 tff(23167,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(transitivity,[status(thm)],[23166, 23164])).
% 40.28/26.72 tff(23168,plain,
% 40.28/26.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23169,plain,
% 40.28/26.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23168, 23167])).
% 40.28/26.72 tff(23170,plain,
% 40.28/26.72 (v90(constB166, bitIndex2) | (~v100(constB166))),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23169, 2100, 23163])).
% 40.28/26.72 tff(23171,plain,
% 40.28/26.72 (v90(constB166, bitIndex2)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23170, 23148])).
% 40.28/26.72 tff(23172,plain,
% 40.28/26.72 ((~v1(constB167)) <=> (~v1(constB167))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23173,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 40.28/26.72 tff(23174,plain,
% 40.28/26.72 (~v1(constB167)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23173, 23172])).
% 40.28/26.72 tff(23175,plain,
% 40.28/26.72 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23176,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 40.28/26.72 tff(23177,plain,
% 40.28/26.72 (nextState(constB166, constB167)),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23176, 23175])).
% 40.28/26.72 tff(23178,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23179,plain,
% 40.28/26.72 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23180,plain,
% 40.28/26.72 (((~![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))))),
% 40.28/26.72 inference(monotonicity,[status(thm)],[23179])).
% 40.28/26.72 tff(23181,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(transitivity,[status(thm)],[23180, 23178])).
% 40.28/26.72 tff(23182,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 40.28/26.72 inference(quant_inst,[status(thm)],[])).
% 40.28/26.72 tff(23183,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 40.28/26.72 inference(modus_ponens,[status(thm)],[23182, 23181])).
% 40.28/26.72 tff(23184,plain,
% 40.28/26.72 (~v101(constB167)),
% 40.28/26.72 inference(unit_resolution,[status(thm)],[23183, 133, 23177, 23174])).
% 40.28/26.72 tff(23185,plain,
% 40.28/26.72 (((~![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)))),
% 40.28/26.72 inference(rewrite,[status(thm)],[])).
% 40.28/26.72 tff(23186,plain,
% 40.28/26.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23187,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23186, 23185])).
% 40.28/26.73 tff(23188,plain,
% 40.28/26.73 (v101(constB167) | (~v100(constB167))),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23187, 150, 23177])).
% 40.28/26.73 tff(23189,plain,
% 40.28/26.73 (~v100(constB167)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23188, 23184])).
% 40.28/26.73 tff(23190,plain,
% 40.28/26.73 (((~![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))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23191,plain,
% 40.28/26.73 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2)) <=> ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23192,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(monotonicity,[status(thm)],[23191])).
% 40.28/26.73 tff(23193,plain,
% 40.28/26.73 (((~![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))),
% 40.28/26.73 inference(transitivity,[status(thm)],[23192, 23190])).
% 40.28/26.73 tff(23194,plain,
% 40.28/26.73 ((~![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))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23195,plain,
% 40.28/26.73 ((~![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)),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23194, 23193])).
% 40.28/26.73 tff(23196,plain,
% 40.28/26.73 ((~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23195, 2118, 23177])).
% 40.28/26.73 tff(23197,plain,
% 40.28/26.73 ((~v90(constB166, bitIndex2)) | v90(constB167, bitIndex2)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23196, 23189])).
% 40.28/26.73 tff(23198,plain,
% 40.28/26.73 (v90(constB167, bitIndex2)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23197, 23171])).
% 40.28/26.73 tff(23199,plain,
% 40.28/26.73 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v130(constB165, bitIndex1)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23200,plain,
% 40.28/26.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v130(constB165, bitIndex1)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23201,plain,
% 40.28/26.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v130(constB165, bitIndex1))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23200, 23199])).
% 40.28/26.73 tff(23202,plain,
% 40.28/26.73 (~v130(constB165, bitIndex1)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23201, 1579, 23149])).
% 40.28/26.73 tff(23203,plain,
% 40.28/26.73 (((~![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))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23204,plain,
% 40.28/26.73 ((v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1))) <=> ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23205,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(monotonicity,[status(thm)],[23204])).
% 40.28/26.73 tff(23206,plain,
% 40.28/26.73 (((~![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))),
% 40.28/26.73 inference(transitivity,[status(thm)],[23205, 23203])).
% 40.28/26.73 tff(23207,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23208,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23207, 23206])).
% 40.28/26.73 tff(23209,plain,
% 40.28/26.73 ((~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23208, 527, 23102])).
% 40.28/26.73 tff(23210,plain,
% 40.28/26.73 (~v127(constB165, bitIndex1)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23209, 23202])).
% 40.28/26.73 tff(23211,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23212,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23213,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23212, 23211])).
% 40.28/26.73 tff(23214,plain,
% 40.28/26.73 (v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23213, 545, 23114])).
% 40.28/26.73 tff(23215,plain,
% 40.28/26.73 (~v129(constB166, bitIndex1)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23214, 23210])).
% 40.28/26.73 tff(23216,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23217,plain,
% 40.28/26.73 (((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1)) <=> ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23218,plain,
% 40.28/26.73 (((~![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))))),
% 40.28/26.73 inference(monotonicity,[status(thm)],[23217])).
% 40.28/26.73 tff(23219,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(transitivity,[status(thm)],[23218, 23216])).
% 40.28/26.73 tff(23220,plain,
% 40.28/26.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23221,plain,
% 40.28/26.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23220, 23219])).
% 40.28/26.73 tff(23222,plain,
% 40.28/26.73 ((~v90(constB166, bitIndex1)) | (~v100(constB166))),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23221, 560, 23215])).
% 40.28/26.73 tff(23223,plain,
% 40.28/26.73 (~v90(constB166, bitIndex1)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23222, 23148])).
% 40.28/26.73 tff(23224,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23225,plain,
% 40.28/26.73 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))) <=> (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23226,plain,
% 40.28/26.73 (((~![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))))),
% 40.28/26.73 inference(monotonicity,[status(thm)],[23225])).
% 40.28/26.73 tff(23227,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(transitivity,[status(thm)],[23226, 23224])).
% 40.28/26.73 tff(23228,plain,
% 40.28/26.73 ((~![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)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23229,plain,
% 40.28/26.73 ((~![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))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23228, 23227])).
% 40.28/26.73 tff(23230,plain,
% 40.28/26.73 (v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23229, 186, 23177])).
% 40.28/26.73 tff(23231,plain,
% 40.28/26.73 (v90(constB166, bitIndex1) | (~v90(constB167, bitIndex1))),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23230, 23189])).
% 40.28/26.73 tff(23232,plain,
% 40.28/26.73 (~v90(constB167, bitIndex1)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23231, 23223])).
% 40.28/26.73 tff(23233,plain,
% 40.28/26.73 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB165)) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB165)) | v130(constB165, bitIndex0))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23234,plain,
% 40.28/26.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB165)) | v130(constB165, bitIndex0))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23235,plain,
% 40.28/26.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB165)) | v130(constB165, bitIndex0)),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 40.28/26.73 tff(23236,plain,
% 40.28/26.73 (v130(constB165, bitIndex0)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23235, 2258, 23149])).
% 40.28/26.73 tff(23237,plain,
% 40.28/26.73 (((~![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))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23238,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23239,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23238, 23237])).
% 40.28/26.73 tff(23240,plain,
% 40.28/26.73 ((~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23239, 601, 23102])).
% 40.28/26.73 tff(23241,plain,
% 40.28/26.73 (v127(constB165, bitIndex0)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23240, 23236])).
% 40.28/26.73 tff(23242,plain,
% 40.28/26.73 (((~![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))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23243,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23244,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23243, 23242])).
% 40.28/26.73 tff(23245,plain,
% 40.28/26.73 ((~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23244, 616, 23114])).
% 40.28/26.73 tff(23246,plain,
% 40.28/26.73 (v129(constB166, bitIndex0)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23245, 23241])).
% 40.28/26.73 tff(23247,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23248,plain,
% 40.28/26.73 ((v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0))) <=> (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23249,plain,
% 40.28/26.73 (((~![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))))),
% 40.28/26.73 inference(monotonicity,[status(thm)],[23248])).
% 40.28/26.73 tff(23250,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(transitivity,[status(thm)],[23249, 23247])).
% 40.28/26.73 tff(23251,plain,
% 40.28/26.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23252,plain,
% 40.28/26.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23251, 23250])).
% 40.28/26.73 tff(23253,plain,
% 40.28/26.73 (v90(constB166, bitIndex0) | (~v100(constB166))),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23252, 631, 23246])).
% 40.28/26.73 tff(23254,plain,
% 40.28/26.73 (v90(constB166, bitIndex0)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23253, 23148])).
% 40.28/26.73 tff(23255,plain,
% 40.28/26.73 (((~![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))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23256,plain,
% 40.28/26.73 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)) <=> ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23257,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(monotonicity,[status(thm)],[23256])).
% 40.28/26.73 tff(23258,plain,
% 40.28/26.73 (((~![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))),
% 40.28/26.73 inference(transitivity,[status(thm)],[23257, 23255])).
% 40.28/26.73 tff(23259,plain,
% 40.28/26.73 ((~![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))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23260,plain,
% 40.28/26.73 ((~![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)),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23259, 23258])).
% 40.28/26.73 tff(23261,plain,
% 40.28/26.73 ((~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23260, 649, 23177])).
% 40.28/26.73 tff(23262,plain,
% 40.28/26.73 ((~v90(constB166, bitIndex0)) | v90(constB167, bitIndex0)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23261, 23189])).
% 40.28/26.73 tff(23263,plain,
% 40.28/26.73 (v90(constB167, bitIndex0)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23262, 23254])).
% 40.28/26.73 tff(23264,plain,
% 40.28/26.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23265,plain,
% 40.28/26.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23266,plain,
% 40.28/26.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167)),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 40.28/26.73 tff(23267,plain,
% 40.28/26.73 (v124(constB167)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23266, 1264, 23263, 23232, 23198])).
% 40.28/26.73 tff(23268,plain,
% 40.28/26.73 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB167) | (~v124(constB167)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB167) | (~v124(constB167)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23269,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB167) | (~v124(constB167)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23270,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB167) | (~v124(constB167))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23269, 23268])).
% 40.28/26.73 tff(23271,plain,
% 40.28/26.73 (v114(constB167)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23270, 1236, 23267])).
% 40.28/26.73 tff(23272,plain,
% 40.28/26.73 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23273,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23274,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 40.28/26.73 tff(23275,plain,
% 40.28/26.73 (v113(constB167)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23274, 294, 23271])).
% 40.28/26.73 tff(23276,assumption,(v26(constB167)), introduced(assumption)).
% 40.28/26.73 tff(23277,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23278,plain,
% 40.28/26.73 ($false),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23277, 86, 23276])).
% 40.28/26.73 tff(23279,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.73 tff(23280,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23281,plain,
% 40.28/26.73 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23282,plain,
% 40.28/26.73 (((~![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))))),
% 40.28/26.73 inference(monotonicity,[status(thm)],[23281])).
% 40.28/26.73 tff(23283,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(transitivity,[status(thm)],[23282, 23280])).
% 40.28/26.73 tff(23284,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23285,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23284, 23283])).
% 40.28/26.73 tff(23286,plain,
% 40.28/26.73 (v112(constB167) | (~v113(constB167))),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23285, 308, 23279])).
% 40.28/26.73 tff(23287,plain,
% 40.28/26.73 (v112(constB167)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23286, 23275])).
% 40.28/26.73 tff(23288,plain,
% 40.28/26.73 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23289,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23290,plain,
% 40.28/26.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23289, 23288])).
% 40.28/26.73 tff(23291,plain,
% 40.28/26.73 (v108(constB167)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23290, 320, 23287])).
% 40.28/26.73 tff(23292,plain,
% 40.28/26.73 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23293,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 40.28/26.73 tff(23294,plain,
% 40.28/26.73 (nextState(constB167, constB168)),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 40.28/26.73 tff(23295,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23296,plain,
% 40.28/26.73 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23297,plain,
% 40.28/26.73 (((~![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))))),
% 40.28/26.73 inference(monotonicity,[status(thm)],[23296])).
% 40.28/26.73 tff(23298,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(transitivity,[status(thm)],[23297, 23295])).
% 40.28/26.73 tff(23299,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23300,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23299, 23298])).
% 40.28/26.73 tff(23301,plain,
% 40.28/26.73 (v110(constB168) | (~v108(constB167))),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23300, 337, 23294])).
% 40.28/26.73 tff(23302,plain,
% 40.28/26.73 (v110(constB168)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23301, 23291])).
% 40.28/26.73 tff(23303,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23304,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23305,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23304, 23303])).
% 40.28/26.73 tff(23306,plain,
% 40.28/26.73 (~v104(constB168)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23305, 355, 23294, 23174])).
% 40.28/26.73 tff(23307,plain,
% 40.28/26.73 (((~![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))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23308,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23309,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23308, 23307])).
% 40.28/26.73 tff(23310,plain,
% 40.28/26.73 (v102(constB168) | v104(constB168)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23309, 369, 23294])).
% 40.28/26.73 tff(23311,plain,
% 40.28/26.73 (v102(constB168)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23310, 23306])).
% 40.28/26.73 tff(23312,plain,
% 40.28/26.73 (v1(constB168) <=> v1(constB168)),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23313,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 40.28/26.73 tff(23314,plain,
% 40.28/26.73 (v1(constB168)),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23313, 23312])).
% 40.28/26.73 tff(23315,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.73 inference(rewrite,[status(thm)],[])).
% 40.28/26.73 tff(23316,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 40.28/26.73 inference(quant_inst,[status(thm)],[])).
% 40.28/26.73 tff(23317,plain,
% 40.28/26.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))),
% 40.28/26.73 inference(modus_ponens,[status(thm)],[23316, 23315])).
% 40.28/26.73 tff(23318,plain,
% 40.28/26.73 (v101(constB168) | (~v102(constB168))),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23317, 387, 23294, 23314])).
% 40.28/26.73 tff(23319,plain,
% 40.28/26.73 (v101(constB168)),
% 40.28/26.73 inference(unit_resolution,[status(thm)],[23318, 23311])).
% 40.28/26.73 tff(23320,plain,
% 40.28/26.73 (((~![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)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23321,plain,
% 40.28/26.74 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23322,plain,
% 40.28/26.74 (((~![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))))),
% 40.28/26.74 inference(monotonicity,[status(thm)],[23321])).
% 40.28/26.74 tff(23323,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(transitivity,[status(thm)],[23322, 23320])).
% 40.28/26.74 tff(23324,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23325,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23324, 23323])).
% 40.28/26.74 tff(23326,plain,
% 40.28/26.74 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23325, 402, 23294])).
% 40.28/26.74 tff(23327,plain,
% 40.28/26.74 (v100(constB168) | (~v110(constB168))),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23326, 23319])).
% 40.28/26.74 tff(23328,plain,
% 40.28/26.74 (v100(constB168)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23327, 23302])).
% 40.28/26.74 tff(23329,plain,
% 40.28/26.74 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB167)) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB167)) | v130(constB167, bitIndex2))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23330,plain,
% 40.28/26.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB167)) | v130(constB167, bitIndex2))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23331,plain,
% 40.28/26.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB167)) | v130(constB167, bitIndex2)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23330, 23329])).
% 40.28/26.74 tff(23332,plain,
% 40.28/26.74 (v130(constB167, bitIndex2)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23331, 2303, 23267])).
% 40.28/26.74 tff(23333,plain,
% 40.28/26.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23334,plain,
% 40.28/26.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23335,plain,
% 40.28/26.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23334, 23333])).
% 40.28/26.74 tff(23336,plain,
% 40.28/26.74 ((~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23335, 1821, 23279])).
% 40.28/26.74 tff(23337,plain,
% 40.28/26.74 (v127(constB167, bitIndex2)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23336, 23332])).
% 40.28/26.74 tff(23338,plain,
% 40.28/26.74 (((~![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))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23339,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23340,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23339, 23338])).
% 40.28/26.74 tff(23341,plain,
% 40.28/26.74 ((~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23340, 1836, 23294])).
% 40.28/26.74 tff(23342,plain,
% 40.28/26.74 (v129(constB168, bitIndex2)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23341, 23337])).
% 40.28/26.74 tff(23343,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23344,plain,
% 40.28/26.74 ((v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23345,plain,
% 40.28/26.74 (((~![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))))),
% 40.28/26.74 inference(monotonicity,[status(thm)],[23344])).
% 40.28/26.74 tff(23346,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(transitivity,[status(thm)],[23345, 23343])).
% 40.28/26.74 tff(23347,plain,
% 40.28/26.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23348,plain,
% 40.28/26.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23347, 23346])).
% 40.28/26.74 tff(23349,plain,
% 40.28/26.74 (v90(constB168, bitIndex2) | (~v100(constB168))),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23348, 2100, 23342])).
% 40.28/26.74 tff(23350,plain,
% 40.28/26.74 (v90(constB168, bitIndex2)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23349, 23328])).
% 40.28/26.74 tff(23351,plain,
% 40.28/26.74 ((~v1(constB169)) <=> (~v1(constB169))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23352,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 40.28/26.74 tff(23353,plain,
% 40.28/26.74 (~v1(constB169)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23352, 23351])).
% 40.28/26.74 tff(23354,plain,
% 40.28/26.74 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23355,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 40.28/26.74 tff(23356,plain,
% 40.28/26.74 (nextState(constB168, constB169)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23355, 23354])).
% 40.28/26.74 tff(23357,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23358,plain,
% 40.28/26.74 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23359,plain,
% 40.28/26.74 (((~![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))))),
% 40.28/26.74 inference(monotonicity,[status(thm)],[23358])).
% 40.28/26.74 tff(23360,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(transitivity,[status(thm)],[23359, 23357])).
% 40.28/26.74 tff(23361,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23362,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23361, 23360])).
% 40.28/26.74 tff(23363,plain,
% 40.28/26.74 (~v101(constB169)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23362, 133, 23356, 23353])).
% 40.28/26.74 tff(23364,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23365,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23366,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23365, 23364])).
% 40.28/26.74 tff(23367,plain,
% 40.28/26.74 (v101(constB169) | (~v100(constB169))),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23366, 150, 23356])).
% 40.28/26.74 tff(23368,plain,
% 40.28/26.74 (~v100(constB169)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23367, 23363])).
% 40.28/26.74 tff(23369,plain,
% 40.28/26.74 (((~![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))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23370,plain,
% 40.28/26.74 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)) <=> ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23371,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(monotonicity,[status(thm)],[23370])).
% 40.28/26.74 tff(23372,plain,
% 40.28/26.74 (((~![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))),
% 40.28/26.74 inference(transitivity,[status(thm)],[23371, 23369])).
% 40.28/26.74 tff(23373,plain,
% 40.28/26.74 ((~![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))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23374,plain,
% 40.28/26.74 ((~![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)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23373, 23372])).
% 40.28/26.74 tff(23375,plain,
% 40.28/26.74 ((~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23374, 2118, 23356])).
% 40.28/26.74 tff(23376,plain,
% 40.28/26.74 ((~v90(constB168, bitIndex2)) | v90(constB169, bitIndex2)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23375, 23368])).
% 40.28/26.74 tff(23377,plain,
% 40.28/26.74 (v90(constB169, bitIndex2)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23376, 23350])).
% 40.28/26.74 tff(23378,plain,
% 40.28/26.74 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB167)) | v130(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB167)) | v130(constB167, bitIndex1))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23379,plain,
% 40.28/26.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB167)) | v130(constB167, bitIndex1))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23380,plain,
% 40.28/26.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB167)) | v130(constB167, bitIndex1)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23379, 23378])).
% 40.28/26.74 tff(23381,plain,
% 40.28/26.74 (v130(constB167, bitIndex1)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23380, 2347, 23267])).
% 40.28/26.74 tff(23382,plain,
% 40.28/26.74 (((~![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))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23383,plain,
% 40.28/26.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23384,plain,
% 40.28/26.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 40.28/26.74 tff(23385,plain,
% 40.28/26.74 ((~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23384, 882, 23279])).
% 40.28/26.74 tff(23386,plain,
% 40.28/26.74 (v127(constB167, bitIndex1)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23385, 23381])).
% 40.28/26.74 tff(23387,plain,
% 40.28/26.74 (((~![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))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23388,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23389,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23388, 23387])).
% 40.28/26.74 tff(23390,plain,
% 40.28/26.74 ((~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23389, 897, 23294])).
% 40.28/26.74 tff(23391,plain,
% 40.28/26.74 (v129(constB168, bitIndex1)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23390, 23386])).
% 40.28/26.74 tff(23392,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23393,plain,
% 40.28/26.74 ((v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1))) <=> (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23394,plain,
% 40.28/26.74 (((~![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))))),
% 40.28/26.74 inference(monotonicity,[status(thm)],[23393])).
% 40.28/26.74 tff(23395,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(transitivity,[status(thm)],[23394, 23392])).
% 40.28/26.74 tff(23396,plain,
% 40.28/26.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23397,plain,
% 40.28/26.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23396, 23395])).
% 40.28/26.74 tff(23398,plain,
% 40.28/26.74 (v90(constB168, bitIndex1) | (~v100(constB168))),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23397, 912, 23391])).
% 40.28/26.74 tff(23399,plain,
% 40.28/26.74 (v90(constB168, bitIndex1)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23398, 23328])).
% 40.28/26.74 tff(23400,plain,
% 40.28/26.74 (((~![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))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23401,plain,
% 40.28/26.74 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)) <=> ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23402,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(monotonicity,[status(thm)],[23401])).
% 40.28/26.74 tff(23403,plain,
% 40.28/26.74 (((~![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))),
% 40.28/26.74 inference(transitivity,[status(thm)],[23402, 23400])).
% 40.28/26.74 tff(23404,plain,
% 40.28/26.74 ((~![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))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23405,plain,
% 40.28/26.74 ((~![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)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23404, 23403])).
% 40.28/26.74 tff(23406,plain,
% 40.28/26.74 ((~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23405, 1049, 23356])).
% 40.28/26.74 tff(23407,plain,
% 40.28/26.74 ((~v90(constB168, bitIndex1)) | v90(constB169, bitIndex1)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23406, 23368])).
% 40.28/26.74 tff(23408,plain,
% 40.28/26.74 (v90(constB169, bitIndex1)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23407, 23399])).
% 40.28/26.74 tff(23409,plain,
% 40.28/26.74 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB167)) | (~v130(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB167)) | (~v130(constB167, bitIndex0)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23410,plain,
% 40.28/26.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB167)) | (~v130(constB167, bitIndex0)))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23411,plain,
% 40.28/26.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB167)) | (~v130(constB167, bitIndex0))),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23410, 23409])).
% 40.28/26.74 tff(23412,plain,
% 40.28/26.74 (~v130(constB167, bitIndex0)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23411, 1519, 23267])).
% 40.28/26.74 tff(23413,plain,
% 40.28/26.74 (((~![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))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23414,plain,
% 40.28/26.74 ((v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0))) <=> ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23415,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(monotonicity,[status(thm)],[23414])).
% 40.28/26.74 tff(23416,plain,
% 40.28/26.74 (((~![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))),
% 40.28/26.74 inference(transitivity,[status(thm)],[23415, 23413])).
% 40.28/26.74 tff(23417,plain,
% 40.28/26.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23418,plain,
% 40.28/26.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23417, 23416])).
% 40.28/26.74 tff(23419,plain,
% 40.28/26.74 ((~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23418, 944, 23279])).
% 40.28/26.74 tff(23420,plain,
% 40.28/26.74 (~v127(constB167, bitIndex0)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23419, 23412])).
% 40.28/26.74 tff(23421,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23422,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23423,plain,
% 40.28/26.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23422, 23421])).
% 40.28/26.74 tff(23424,plain,
% 40.28/26.74 (v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23423, 962, 23294])).
% 40.28/26.74 tff(23425,plain,
% 40.28/26.74 (~v129(constB168, bitIndex0)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23424, 23420])).
% 40.28/26.74 tff(23426,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23427,plain,
% 40.28/26.74 (((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23428,plain,
% 40.28/26.74 (((~![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))))),
% 40.28/26.74 inference(monotonicity,[status(thm)],[23427])).
% 40.28/26.74 tff(23429,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(transitivity,[status(thm)],[23428, 23426])).
% 40.28/26.74 tff(23430,plain,
% 40.28/26.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))),
% 40.28/26.74 inference(quant_inst,[status(thm)],[])).
% 40.28/26.74 tff(23431,plain,
% 40.28/26.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))),
% 40.28/26.74 inference(modus_ponens,[status(thm)],[23430, 23429])).
% 40.28/26.74 tff(23432,plain,
% 40.28/26.74 ((~v90(constB168, bitIndex0)) | (~v100(constB168))),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23431, 977, 23425])).
% 40.28/26.74 tff(23433,plain,
% 40.28/26.74 (~v90(constB168, bitIndex0)),
% 40.28/26.74 inference(unit_resolution,[status(thm)],[23432, 23328])).
% 40.28/26.74 tff(23434,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23435,plain,
% 40.28/26.74 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 40.28/26.74 inference(rewrite,[status(thm)],[])).
% 40.28/26.74 tff(23436,plain,
% 40.28/26.74 (((~![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))))),
% 40.28/26.74 inference(monotonicity,[status(thm)],[23435])).
% 40.28/26.74 tff(23437,plain,
% 40.28/26.74 (((~![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)))),
% 40.28/26.75 inference(transitivity,[status(thm)],[23436, 23434])).
% 40.28/26.75 tff(23438,plain,
% 40.28/26.75 ((~![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)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23439,plain,
% 40.28/26.75 ((~![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))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23438, 23437])).
% 40.28/26.75 tff(23440,plain,
% 40.28/26.75 (v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23439, 207, 23356])).
% 40.28/26.75 tff(23441,plain,
% 40.28/26.75 (v90(constB168, bitIndex0) | (~v90(constB169, bitIndex0))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23440, 23368])).
% 40.28/26.75 tff(23442,plain,
% 40.28/26.75 (~v90(constB169, bitIndex0)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23441, 23433])).
% 40.28/26.75 tff(23443,plain,
% 40.28/26.75 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23444,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23445,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169)),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23444, 23443])).
% 40.28/26.75 tff(23446,plain,
% 40.28/26.75 (v125(constB169)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23445, 1308, 23442, 23408, 23377])).
% 40.28/26.75 tff(23447,plain,
% 40.28/26.75 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB169) | (~v125(constB169)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB169) | (~v125(constB169)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23448,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB169) | (~v125(constB169)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23449,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB169) | (~v125(constB169))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23448, 23447])).
% 40.28/26.75 tff(23450,plain,
% 40.28/26.75 (v113(constB169)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23449, 1294, 23446])).
% 40.28/26.75 tff(23451,assumption,(v26(constB169)), introduced(assumption)).
% 40.28/26.75 tff(23452,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23453,plain,
% 40.28/26.75 ($false),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23452, 86, 23451])).
% 40.28/26.75 tff(23454,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.75 tff(23455,plain,
% 40.28/26.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | v112(constB169) | (~v113(constB169)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23456,plain,
% 40.28/26.75 ((v26(constB169) | (~v113(constB169)) | v112(constB169)) <=> (v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23457,plain,
% 40.28/26.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | v112(constB169) | (~v113(constB169))))),
% 40.28/26.75 inference(monotonicity,[status(thm)],[23456])).
% 40.28/26.75 tff(23458,plain,
% 40.28/26.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 40.28/26.75 inference(transitivity,[status(thm)],[23457, 23455])).
% 40.28/26.75 tff(23459,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23460,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23459, 23458])).
% 40.28/26.75 tff(23461,plain,
% 40.28/26.75 (v112(constB169) | (~v113(constB169))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23460, 308, 23454])).
% 40.28/26.75 tff(23462,plain,
% 40.28/26.75 (v112(constB169)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23461, 23450])).
% 40.28/26.75 tff(23463,plain,
% 40.28/26.75 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23464,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23465,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23464, 23463])).
% 40.28/26.75 tff(23466,plain,
% 40.28/26.75 (v108(constB169)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23465, 320, 23462])).
% 40.28/26.75 tff(23467,plain,
% 40.28/26.75 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23468,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 40.28/26.75 tff(23469,plain,
% 40.28/26.75 (nextState(constB169, constB170)),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23468, 23467])).
% 40.28/26.75 tff(23470,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23471,plain,
% 40.28/26.75 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23472,plain,
% 40.28/26.75 (((~![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))))),
% 40.28/26.75 inference(monotonicity,[status(thm)],[23471])).
% 40.28/26.75 tff(23473,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(transitivity,[status(thm)],[23472, 23470])).
% 40.28/26.75 tff(23474,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23475,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23474, 23473])).
% 40.28/26.75 tff(23476,plain,
% 40.28/26.75 (v110(constB170) | (~v108(constB169))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23475, 337, 23469])).
% 40.28/26.75 tff(23477,plain,
% 40.28/26.75 (v110(constB170)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23476, 23466])).
% 40.28/26.75 tff(23478,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23479,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23480,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23479, 23478])).
% 40.28/26.75 tff(23481,plain,
% 40.28/26.75 (~v104(constB170)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23480, 355, 23469, 23353])).
% 40.28/26.75 tff(23482,plain,
% 40.28/26.75 (((~![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))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23483,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23484,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23483, 23482])).
% 40.28/26.75 tff(23485,plain,
% 40.28/26.75 (v102(constB170) | v104(constB170)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23484, 369, 23469])).
% 40.28/26.75 tff(23486,plain,
% 40.28/26.75 (v102(constB170)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23485, 23481])).
% 40.28/26.75 tff(23487,plain,
% 40.28/26.75 (v1(constB170) <=> v1(constB170)),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23488,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 40.28/26.75 tff(23489,plain,
% 40.28/26.75 (v1(constB170)),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23488, 23487])).
% 40.28/26.75 tff(23490,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23491,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23492,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23491, 23490])).
% 40.28/26.75 tff(23493,plain,
% 40.28/26.75 (v101(constB170) | (~v102(constB170))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23492, 387, 23469, 23489])).
% 40.28/26.75 tff(23494,plain,
% 40.28/26.75 (v101(constB170)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23493, 23486])).
% 40.28/26.75 tff(23495,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23496,plain,
% 40.28/26.75 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23497,plain,
% 40.28/26.75 (((~![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))))),
% 40.28/26.75 inference(monotonicity,[status(thm)],[23496])).
% 40.28/26.75 tff(23498,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(transitivity,[status(thm)],[23497, 23495])).
% 40.28/26.75 tff(23499,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23500,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23499, 23498])).
% 40.28/26.75 tff(23501,plain,
% 40.28/26.75 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23500, 402, 23469])).
% 40.28/26.75 tff(23502,plain,
% 40.28/26.75 (v100(constB170) | (~v110(constB170))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23501, 23494])).
% 40.28/26.75 tff(23503,plain,
% 40.28/26.75 (v100(constB170)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23502, 23477])).
% 40.28/26.75 tff(23504,plain,
% 40.28/26.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v123(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v123(constB169)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23505,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v123(constB169)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23506,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v123(constB169))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23505, 23504])).
% 40.28/26.75 tff(23507,plain,
% 40.28/26.75 (~v123(constB169)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23506, 2626, 23408])).
% 40.28/26.75 tff(23508,plain,
% 40.28/26.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v124(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v124(constB169)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23509,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v124(constB169)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23510,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v124(constB169))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23509, 23508])).
% 40.28/26.75 tff(23511,plain,
% 40.28/26.75 (~v124(constB169)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23510, 2637, 23408])).
% 40.28/26.75 tff(23512,plain,
% 40.28/26.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v122(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v122(constB169)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23513,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v122(constB169)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23514,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v122(constB169))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23513, 23512])).
% 40.28/26.75 tff(23515,plain,
% 40.28/26.75 (~v122(constB169)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23514, 3526, 23377])).
% 40.28/26.75 tff(23516,plain,
% 40.28/26.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v121(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v121(constB169)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23517,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v121(constB169)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23518,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v121(constB169))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23517, 23516])).
% 40.28/26.75 tff(23519,plain,
% 40.28/26.75 (~v121(constB169)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23518, 2586, 23377])).
% 40.28/26.75 tff(23520,plain,
% 40.28/26.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v120(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v120(constB169)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23521,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v120(constB169)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23522,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v120(constB169))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23521, 23520])).
% 40.28/26.75 tff(23523,plain,
% 40.28/26.75 (~v120(constB169)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23522, 2615, 23408])).
% 40.28/26.75 tff(23524,plain,
% 40.28/26.75 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23525,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23526,plain,
% 40.28/26.75 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23525, 23524])).
% 40.28/26.75 tff(23527,plain,
% 40.28/26.75 (~v119(constB169)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23526, 2604, 23408])).
% 40.28/26.75 tff(23528,plain,
% 40.28/26.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23529,plain,
% 40.28/26.75 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2))) <=> (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23530,plain,
% 40.28/26.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2))))),
% 40.28/26.75 inference(monotonicity,[status(thm)],[23529])).
% 40.28/26.75 tff(23531,plain,
% 40.28/26.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))),
% 40.28/26.75 inference(transitivity,[status(thm)],[23530, 23528])).
% 40.28/26.75 tff(23532,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23533,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23532, 23531])).
% 40.28/26.75 tff(23534,plain,
% 40.28/26.75 (~v130(constB169, bitIndex2)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23533, 1993, 23527, 23523, 23519, 23515, 23511, 23507])).
% 40.28/26.75 tff(23535,plain,
% 40.28/26.75 (((~![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))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23536,plain,
% 40.28/26.75 ((v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2))) <=> ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23537,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(monotonicity,[status(thm)],[23536])).
% 40.28/26.75 tff(23538,plain,
% 40.28/26.75 (((~![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))),
% 40.28/26.75 inference(transitivity,[status(thm)],[23537, 23535])).
% 40.28/26.75 tff(23539,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23540,plain,
% 40.28/26.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23539, 23538])).
% 40.28/26.75 tff(23541,plain,
% 40.28/26.75 ((~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23540, 435, 23454])).
% 40.28/26.75 tff(23542,plain,
% 40.28/26.75 (~v127(constB169, bitIndex2)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23541, 23534])).
% 40.28/26.75 tff(23543,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23544,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23545,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23544, 23543])).
% 40.28/26.75 tff(23546,plain,
% 40.28/26.75 (v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23545, 453, 23469])).
% 40.28/26.75 tff(23547,plain,
% 40.28/26.75 (~v129(constB170, bitIndex2)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23546, 23542])).
% 40.28/26.75 tff(23548,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23549,plain,
% 40.28/26.75 (((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2)) <=> ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23550,plain,
% 40.28/26.75 (((~![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))))),
% 40.28/26.75 inference(monotonicity,[status(thm)],[23549])).
% 40.28/26.75 tff(23551,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(transitivity,[status(thm)],[23550, 23548])).
% 40.28/26.75 tff(23552,plain,
% 40.28/26.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23553,plain,
% 40.28/26.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23552, 23551])).
% 40.28/26.75 tff(23554,plain,
% 40.28/26.75 ((~v90(constB170, bitIndex2)) | (~v100(constB170))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23553, 468, 23547])).
% 40.28/26.75 tff(23555,plain,
% 40.28/26.75 (~v90(constB170, bitIndex2)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23554, 23503])).
% 40.28/26.75 tff(23556,plain,
% 40.28/26.75 ((~v1(constB171)) <=> (~v1(constB171))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23557,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 40.28/26.75 tff(23558,plain,
% 40.28/26.75 (~v1(constB171)),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23557, 23556])).
% 40.28/26.75 tff(23559,plain,
% 40.28/26.75 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23560,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 40.28/26.75 tff(23561,plain,
% 40.28/26.75 (nextState(constB170, constB171)),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23560, 23559])).
% 40.28/26.75 tff(23562,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23563,plain,
% 40.28/26.75 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23564,plain,
% 40.28/26.75 (((~![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))))),
% 40.28/26.75 inference(monotonicity,[status(thm)],[23563])).
% 40.28/26.75 tff(23565,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(transitivity,[status(thm)],[23564, 23562])).
% 40.28/26.75 tff(23566,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23567,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23566, 23565])).
% 40.28/26.75 tff(23568,plain,
% 40.28/26.75 (~v101(constB171)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23567, 133, 23561, 23558])).
% 40.28/26.75 tff(23569,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23570,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23571,plain,
% 40.28/26.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23570, 23569])).
% 40.28/26.75 tff(23572,plain,
% 40.28/26.75 (v101(constB171) | (~v100(constB171))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23571, 150, 23561])).
% 40.28/26.75 tff(23573,plain,
% 40.28/26.75 (~v100(constB171)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23572, 23568])).
% 40.28/26.75 tff(23574,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23575,plain,
% 40.28/26.75 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 40.28/26.75 inference(rewrite,[status(thm)],[])).
% 40.28/26.75 tff(23576,plain,
% 40.28/26.75 (((~![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))))),
% 40.28/26.75 inference(monotonicity,[status(thm)],[23575])).
% 40.28/26.75 tff(23577,plain,
% 40.28/26.75 (((~![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)))),
% 40.28/26.75 inference(transitivity,[status(thm)],[23576, 23574])).
% 40.28/26.75 tff(23578,plain,
% 40.28/26.75 ((~![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)))),
% 40.28/26.75 inference(quant_inst,[status(thm)],[])).
% 40.28/26.75 tff(23579,plain,
% 40.28/26.75 ((~![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))),
% 40.28/26.75 inference(modus_ponens,[status(thm)],[23578, 23577])).
% 40.28/26.75 tff(23580,plain,
% 40.28/26.75 (v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23579, 165, 23561])).
% 40.28/26.75 tff(23581,plain,
% 40.28/26.75 (v90(constB170, bitIndex2) | (~v90(constB171, bitIndex2))),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23580, 23573])).
% 40.28/26.75 tff(23582,plain,
% 40.28/26.75 (~v90(constB171, bitIndex2)),
% 40.28/26.75 inference(unit_resolution,[status(thm)],[23581, 23555])).
% 40.28/26.75 tff(23583,plain,
% 40.28/26.75 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB169, bitIndex1)) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB169, bitIndex1)) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23584,plain,
% 40.28/26.76 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1))) <=> ((~v130(constB169, bitIndex1)) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23585,plain,
% 40.28/26.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB169, bitIndex1)) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169)))),
% 40.28/26.76 inference(monotonicity,[status(thm)],[23584])).
% 40.28/26.76 tff(23586,plain,
% 40.28/26.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB169, bitIndex1)) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169))),
% 40.28/26.76 inference(transitivity,[status(thm)],[23585, 23583])).
% 40.28/26.76 tff(23587,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23588,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB169, bitIndex1)) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169)),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23587, 23586])).
% 40.28/26.76 tff(23589,plain,
% 40.28/26.76 (~v130(constB169, bitIndex1)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23588, 1562, 23527, 23523, 23519, 23515, 23511, 23507])).
% 40.28/26.76 tff(23590,plain,
% 40.28/26.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23591,plain,
% 40.28/26.76 ((v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1))) <=> ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23592,plain,
% 40.28/26.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1)))),
% 40.28/26.76 inference(monotonicity,[status(thm)],[23591])).
% 40.28/26.76 tff(23593,plain,
% 40.28/26.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 40.28/26.76 inference(transitivity,[status(thm)],[23592, 23590])).
% 40.28/26.76 tff(23594,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23595,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1)),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23594, 23593])).
% 40.28/26.76 tff(23596,plain,
% 40.28/26.76 ((~v127(constB169, bitIndex1)) | v130(constB169, bitIndex1)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23595, 527, 23454])).
% 40.28/26.76 tff(23597,plain,
% 40.28/26.76 (~v127(constB169, bitIndex1)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23596, 23589])).
% 40.28/26.76 tff(23598,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23599,plain,
% 40.28/26.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23600,plain,
% 40.28/26.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1))),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23599, 23598])).
% 40.28/26.76 tff(23601,plain,
% 40.28/26.76 (v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1))),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23600, 545, 23469])).
% 40.28/26.76 tff(23602,plain,
% 40.28/26.76 (~v129(constB170, bitIndex1)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23601, 23597])).
% 40.28/26.76 tff(23603,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23604,plain,
% 40.28/26.76 (((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23605,plain,
% 40.28/26.76 (((~![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))))),
% 40.28/26.76 inference(monotonicity,[status(thm)],[23604])).
% 40.28/26.76 tff(23606,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(transitivity,[status(thm)],[23605, 23603])).
% 40.28/26.76 tff(23607,plain,
% 40.28/26.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23608,plain,
% 40.28/26.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170))),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23607, 23606])).
% 40.28/26.76 tff(23609,plain,
% 40.28/26.76 ((~v90(constB170, bitIndex1)) | (~v100(constB170))),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23608, 560, 23602])).
% 40.28/26.76 tff(23610,plain,
% 40.28/26.76 (~v90(constB170, bitIndex1)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23609, 23503])).
% 40.28/26.76 tff(23611,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23612,plain,
% 40.28/26.76 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23613,plain,
% 40.28/26.76 (((~![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))))),
% 40.28/26.76 inference(monotonicity,[status(thm)],[23612])).
% 40.28/26.76 tff(23614,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(transitivity,[status(thm)],[23613, 23611])).
% 40.28/26.76 tff(23615,plain,
% 40.28/26.76 ((~![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)))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23616,plain,
% 40.28/26.76 ((~![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))),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23615, 23614])).
% 40.28/26.76 tff(23617,plain,
% 40.28/26.76 (v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1))),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23616, 186, 23561])).
% 40.28/26.76 tff(23618,plain,
% 40.28/26.76 (v90(constB170, bitIndex1) | (~v90(constB171, bitIndex1))),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23617, 23573])).
% 40.28/26.76 tff(23619,plain,
% 40.28/26.76 (~v90(constB171, bitIndex1)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23618, 23610])).
% 40.28/26.76 tff(23620,plain,
% 40.28/26.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23621,plain,
% 40.28/26.76 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0)) <=> (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23622,plain,
% 40.28/26.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0)))),
% 40.28/26.76 inference(monotonicity,[status(thm)],[23621])).
% 40.28/26.76 tff(23623,plain,
% 40.28/26.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))),
% 40.28/26.76 inference(transitivity,[status(thm)],[23622, 23620])).
% 40.28/26.76 tff(23624,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23625,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0)),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23624, 23623])).
% 40.28/26.76 tff(23626,plain,
% 40.28/26.76 (v130(constB169, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23625, 2753, 23527, 23523, 23519, 23515, 23511, 23507])).
% 40.28/26.76 tff(23627,plain,
% 40.28/26.76 (((~![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))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23628,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23629,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23628, 23627])).
% 40.28/26.76 tff(23630,plain,
% 40.28/26.76 ((~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23629, 601, 23454])).
% 40.28/26.76 tff(23631,plain,
% 40.28/26.76 (v127(constB169, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23630, 23626])).
% 40.28/26.76 tff(23632,plain,
% 40.28/26.76 (((~![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))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23633,plain,
% 40.28/26.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23634,plain,
% 40.28/26.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23633, 23632])).
% 40.28/26.76 tff(23635,plain,
% 40.28/26.76 ((~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23634, 616, 23469])).
% 40.28/26.76 tff(23636,plain,
% 40.28/26.76 (v129(constB170, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23635, 23631])).
% 40.28/26.76 tff(23637,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23638,plain,
% 40.28/26.76 ((v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0))) <=> (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23639,plain,
% 40.28/26.76 (((~![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))))),
% 40.28/26.76 inference(monotonicity,[status(thm)],[23638])).
% 40.28/26.76 tff(23640,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(transitivity,[status(thm)],[23639, 23637])).
% 40.28/26.76 tff(23641,plain,
% 40.28/26.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23642,plain,
% 40.28/26.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23641, 23640])).
% 40.28/26.76 tff(23643,plain,
% 40.28/26.76 (v90(constB170, bitIndex0) | (~v100(constB170))),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23642, 631, 23636])).
% 40.28/26.76 tff(23644,plain,
% 40.28/26.76 (v90(constB170, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23643, 23503])).
% 40.28/26.76 tff(23645,plain,
% 40.28/26.76 (((~![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))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23646,plain,
% 40.28/26.76 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)) <=> ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23647,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(monotonicity,[status(thm)],[23646])).
% 40.28/26.76 tff(23648,plain,
% 40.28/26.76 (((~![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))),
% 40.28/26.76 inference(transitivity,[status(thm)],[23647, 23645])).
% 40.28/26.76 tff(23649,plain,
% 40.28/26.76 ((~![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))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23650,plain,
% 40.28/26.76 ((~![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)),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23649, 23648])).
% 40.28/26.76 tff(23651,plain,
% 40.28/26.76 ((~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23650, 649, 23561])).
% 40.28/26.76 tff(23652,plain,
% 40.28/26.76 ((~v90(constB170, bitIndex0)) | v90(constB171, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23651, 23573])).
% 40.28/26.76 tff(23653,plain,
% 40.28/26.76 (v90(constB171, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23652, 23644])).
% 40.28/26.76 tff(23654,plain,
% 40.28/26.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23655,plain,
% 40.28/26.76 (((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2)) <=> ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23656,plain,
% 40.28/26.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171)))),
% 40.28/26.76 inference(monotonicity,[status(thm)],[23655])).
% 40.28/26.76 tff(23657,plain,
% 40.28/26.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 40.28/26.76 inference(transitivity,[status(thm)],[23656, 23654])).
% 40.28/26.76 tff(23658,plain,
% 40.28/26.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23659,plain,
% 40.28/26.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171)),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23658, 23657])).
% 40.28/26.76 tff(23660,plain,
% 40.28/26.76 (v120(constB171)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23659, 668, 23653, 23619, 23582])).
% 40.28/26.76 tff(23661,assumption,(v120(constB171)), introduced(assumption)).
% 40.28/26.76 tff(23662,plain,
% 40.28/26.76 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB171)) | (~v130(constB171, bitIndex0)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23663,plain,
% 40.28/26.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex0)))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23664,plain,
% 40.28/26.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB171)) | (~v130(constB171, bitIndex0))),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23663, 23662])).
% 40.28/26.76 tff(23665,plain,
% 40.28/26.76 (~v130(constB171, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23664, 930, 23661])).
% 40.28/26.76 tff(23666,assumption,(v26(constB171)), introduced(assumption)).
% 40.28/26.76 tff(23667,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23668,plain,
% 40.28/26.76 ($false),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23667, 86, 23666])).
% 40.28/26.76 tff(23669,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.76 tff(23670,plain,
% 40.28/26.76 (((~![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))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23671,plain,
% 40.28/26.76 ((v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0))) <=> ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23672,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(monotonicity,[status(thm)],[23671])).
% 40.28/26.76 tff(23673,plain,
% 40.28/26.76 (((~![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))),
% 40.28/26.76 inference(transitivity,[status(thm)],[23672, 23670])).
% 40.28/26.76 tff(23674,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23675,plain,
% 40.28/26.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23674, 23673])).
% 40.28/26.76 tff(23676,plain,
% 40.28/26.76 ((~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23675, 944, 23669])).
% 40.28/26.76 tff(23677,plain,
% 40.28/26.76 (~v127(constB171, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23676, 23665])).
% 40.28/26.76 tff(23678,assumption,(~v127(constB171, bitIndex0)), introduced(assumption)).
% 40.28/26.76 tff(23679,plain,
% 40.28/26.76 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23680,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 40.28/26.76 tff(23681,plain,
% 40.28/26.76 (nextState(constB171, constB172)),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23680, 23679])).
% 40.28/26.76 tff(23682,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23683,plain,
% 40.28/26.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 40.28/26.76 inference(quant_inst,[status(thm)],[])).
% 40.28/26.76 tff(23684,plain,
% 40.28/26.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 40.28/26.76 inference(modus_ponens,[status(thm)],[23683, 23682])).
% 40.28/26.76 tff(23685,plain,
% 40.28/26.76 (v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23684, 962, 23681])).
% 40.28/26.76 tff(23686,plain,
% 40.28/26.76 (~v129(constB172, bitIndex0)),
% 40.28/26.76 inference(unit_resolution,[status(thm)],[23685, 23678])).
% 40.28/26.76 tff(23687,assumption,(v90(constB172, bitIndex0)), introduced(assumption)).
% 40.28/26.76 tff(23688,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23689,plain,
% 40.28/26.76 (((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0)) <=> ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 40.28/26.76 inference(rewrite,[status(thm)],[])).
% 40.28/26.76 tff(23690,plain,
% 40.28/26.76 (((~![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))))),
% 40.28/26.76 inference(monotonicity,[status(thm)],[23689])).
% 40.28/26.76 tff(23691,plain,
% 40.28/26.76 (((~![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)))),
% 40.28/26.76 inference(transitivity,[status(thm)],[23690, 23688])).
% 40.28/26.76 tff(23692,plain,
% 40.28/26.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23693,plain,
% 40.28/26.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23692, 23691])).
% 40.28/26.77 tff(23694,plain,
% 40.28/26.77 (v129(constB172, bitIndex0) | (~v100(constB172))),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23693, 977, 23687])).
% 40.28/26.77 tff(23695,plain,
% 40.28/26.77 (~v100(constB172)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23694, 23686])).
% 40.28/26.77 tff(23696,assumption,(~v108(constB171)), introduced(assumption)).
% 40.28/26.77 tff(23697,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23698,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23699,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23698, 23697])).
% 40.28/26.77 tff(23700,plain,
% 40.28/26.77 (~v112(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23699, 320, 23696])).
% 40.28/26.77 tff(23701,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB171) | (~v26(constB171)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB171) | (~v26(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23702,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB171) | (~v26(constB171)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23703,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB171) | (~v26(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23702, 23701])).
% 40.28/26.77 tff(23704,plain,
% 40.28/26.77 (~v26(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23703, 766, 23696])).
% 40.28/26.77 tff(23705,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23706,plain,
% 40.28/26.77 ((v26(constB171) | (~v113(constB171)) | v112(constB171)) <=> (v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23707,plain,
% 40.28/26.77 (((~![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))))),
% 40.28/26.77 inference(monotonicity,[status(thm)],[23706])).
% 40.28/26.77 tff(23708,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(transitivity,[status(thm)],[23707, 23705])).
% 40.28/26.77 tff(23709,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23710,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23709, 23708])).
% 40.28/26.77 tff(23711,plain,
% 40.28/26.77 (~v113(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23710, 308, 23704, 23700])).
% 40.28/26.77 tff(23712,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23713,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23714,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23713, 23712])).
% 40.28/26.77 tff(23715,plain,
% 40.28/26.77 (~v114(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23714, 294, 23711])).
% 40.28/26.77 tff(23716,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23717,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23718,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23717, 23716])).
% 40.28/26.77 tff(23719,plain,
% 40.28/26.77 (~v115(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23718, 283, 23715])).
% 40.28/26.77 tff(23720,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23721,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23722,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23721, 23720])).
% 40.28/26.77 tff(23723,plain,
% 40.28/26.77 (~v116(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23722, 272, 23719])).
% 40.28/26.77 tff(23724,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB171) | (~v117(constB171)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB171) | (~v117(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23725,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB171) | (~v117(constB171)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23726,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB171) | (~v117(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23725, 23724])).
% 40.28/26.77 tff(23727,plain,
% 40.28/26.77 (~v117(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23726, 261, 23723])).
% 40.28/26.77 tff(23728,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB171) | (~v118(constB171)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB171) | (~v118(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23729,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB171) | (~v118(constB171)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23730,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB171) | (~v118(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23729, 23728])).
% 40.28/26.77 tff(23731,plain,
% 40.28/26.77 (~v118(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23730, 250, 23727])).
% 40.28/26.77 tff(23732,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB171) | (~v124(constB171)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB171) | (~v124(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23733,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB171) | (~v124(constB171)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23734,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB171) | (~v124(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23733, 23732])).
% 40.28/26.77 tff(23735,plain,
% 40.28/26.77 (~v124(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23734, 1236, 23715])).
% 40.28/26.77 tff(23736,plain,
% 40.28/26.77 (((~![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))) | v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23737,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23738,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB171) | (~v130(constB171, bitIndex0)) | v127(constB171, bitIndex0)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23737, 23736])).
% 40.28/26.77 tff(23739,plain,
% 40.28/26.77 (v26(constB171) | (~v130(constB171, bitIndex0))),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23738, 601, 23678])).
% 40.28/26.77 tff(23740,plain,
% 40.28/26.77 (~v130(constB171, bitIndex0)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23739, 23704])).
% 40.28/26.77 tff(23741,plain,
% 40.28/26.77 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB171)) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB171)) | v130(constB171, bitIndex0))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23742,plain,
% 40.28/26.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB171)) | v130(constB171, bitIndex0))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23743,plain,
% 40.28/26.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB171)) | v130(constB171, bitIndex0)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23742, 23741])).
% 40.28/26.77 tff(23744,plain,
% 40.28/26.77 (~v123(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23743, 2258, 23740])).
% 40.28/26.77 tff(23745,plain,
% 40.28/26.77 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB171)) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB171)) | v130(constB171, bitIndex0))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23746,plain,
% 40.28/26.77 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB171)) | v130(constB171, bitIndex0))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23747,plain,
% 40.28/26.77 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB171)) | v130(constB171, bitIndex0)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23746, 23745])).
% 40.28/26.77 tff(23748,plain,
% 40.28/26.77 (~v119(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23747, 587, 23740])).
% 40.28/26.77 tff(23749,plain,
% 40.28/26.77 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB171)) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB171)) | v130(constB171, bitIndex0))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23750,plain,
% 40.28/26.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB171)) | v130(constB171, bitIndex0))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23751,plain,
% 40.28/26.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB171)) | v130(constB171, bitIndex0)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23750, 23749])).
% 40.28/26.77 tff(23752,plain,
% 40.28/26.77 (~v121(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23751, 1758, 23740])).
% 40.28/26.77 tff(23753,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB171) | (~v122(constB171)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB171) | (~v122(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23754,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB171) | (~v122(constB171)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23755,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB171) | (~v122(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23754, 23753])).
% 40.28/26.77 tff(23756,plain,
% 40.28/26.77 (~v122(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23755, 1149, 23723])).
% 40.28/26.77 tff(23757,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB171, bitIndex0) | v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB171, bitIndex0) | v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23758,plain,
% 40.28/26.77 ((v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0)) <=> (v130(constB171, bitIndex0) | v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23759,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB171, bitIndex0) | v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171)))),
% 40.28/26.77 inference(monotonicity,[status(thm)],[23758])).
% 40.28/26.77 tff(23760,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB171, bitIndex0) | v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171))),
% 40.28/26.77 inference(transitivity,[status(thm)],[23759, 23757])).
% 40.28/26.77 tff(23761,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, bitIndex0))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23762,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB171, bitIndex0) | v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23761, 23760])).
% 40.28/26.77 tff(23763,plain,
% 40.28/26.77 (v120(constB171) | v119(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23762, 2753, 23740])).
% 40.28/26.77 tff(23764,plain,
% 40.28/26.77 (v120(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23763, 23756, 23752, 23748, 23744, 23735])).
% 40.28/26.77 tff(23765,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB171) | (~v120(constB171)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB171) | (~v120(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23766,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB171) | (~v120(constB171)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23767,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB171) | (~v120(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23766, 23765])).
% 40.28/26.77 tff(23768,plain,
% 40.28/26.77 ($false),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23767, 778, 23764, 23731])).
% 40.28/26.77 tff(23769,plain,(v108(constB171) | v127(constB171, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.77 tff(23770,plain,
% 40.28/26.77 (v108(constB171)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23769, 23678])).
% 40.28/26.77 tff(23771,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23772,plain,
% 40.28/26.77 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23773,plain,
% 40.28/26.77 (((~![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))))),
% 40.28/26.77 inference(monotonicity,[status(thm)],[23772])).
% 40.28/26.77 tff(23774,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(transitivity,[status(thm)],[23773, 23771])).
% 40.28/26.77 tff(23775,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23776,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23775, 23774])).
% 40.28/26.77 tff(23777,plain,
% 40.28/26.77 (v110(constB172) | (~v108(constB171))),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23776, 337, 23681])).
% 40.28/26.77 tff(23778,plain,
% 40.28/26.77 (v110(constB172)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23777, 23770])).
% 40.28/26.77 tff(23779,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23780,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23781,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23780, 23779])).
% 40.28/26.77 tff(23782,plain,
% 40.28/26.77 (~v104(constB172)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23781, 355, 23681, 23558])).
% 40.28/26.77 tff(23783,plain,
% 40.28/26.77 (((~![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))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23784,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23785,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23784, 23783])).
% 40.28/26.77 tff(23786,plain,
% 40.28/26.77 (v102(constB172) | v104(constB172)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23785, 369, 23681])).
% 40.28/26.77 tff(23787,plain,
% 40.28/26.77 (v102(constB172)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23786, 23782])).
% 40.28/26.77 tff(23788,plain,
% 40.28/26.77 (v1(constB172) <=> v1(constB172)),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23789,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 40.28/26.77 tff(23790,plain,
% 40.28/26.77 (v1(constB172)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23789, 23788])).
% 40.28/26.77 tff(23791,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23792,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23793,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23792, 23791])).
% 40.28/26.77 tff(23794,plain,
% 40.28/26.77 (v101(constB172) | (~v102(constB172))),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23793, 387, 23681, 23790])).
% 40.28/26.77 tff(23795,plain,
% 40.28/26.77 (v101(constB172)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23794, 23787])).
% 40.28/26.77 tff(23796,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23797,plain,
% 40.28/26.77 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23798,plain,
% 40.28/26.77 (((~![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))))),
% 40.28/26.77 inference(monotonicity,[status(thm)],[23797])).
% 40.28/26.77 tff(23799,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(transitivity,[status(thm)],[23798, 23796])).
% 40.28/26.77 tff(23800,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23801,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23800, 23799])).
% 40.28/26.77 tff(23802,plain,
% 40.28/26.77 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23801, 402, 23681])).
% 40.28/26.77 tff(23803,plain,
% 40.28/26.77 (v100(constB172) | (~v110(constB172))),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23802, 23795])).
% 40.28/26.77 tff(23804,plain,
% 40.28/26.77 ($false),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23803, 23778, 23695])).
% 40.28/26.77 tff(23805,plain,(v127(constB171, bitIndex0) | (~v90(constB172, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 40.28/26.77 tff(23806,plain,
% 40.28/26.77 (~v90(constB172, bitIndex0)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23805, 23677])).
% 40.28/26.77 tff(23807,plain,
% 40.28/26.77 ((~v1(constB173)) <=> (~v1(constB173))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23808,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 40.28/26.77 tff(23809,plain,
% 40.28/26.77 (~v1(constB173)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23808, 23807])).
% 40.28/26.77 tff(23810,plain,
% 40.28/26.77 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23811,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 40.28/26.77 tff(23812,plain,
% 40.28/26.77 (nextState(constB172, constB173)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23811, 23810])).
% 40.28/26.77 tff(23813,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23814,plain,
% 40.28/26.77 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23815,plain,
% 40.28/26.77 (((~![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))))),
% 40.28/26.77 inference(monotonicity,[status(thm)],[23814])).
% 40.28/26.77 tff(23816,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(transitivity,[status(thm)],[23815, 23813])).
% 40.28/26.77 tff(23817,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23818,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23817, 23816])).
% 40.28/26.77 tff(23819,plain,
% 40.28/26.77 (~v101(constB173)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23818, 133, 23812, 23809])).
% 40.28/26.77 tff(23820,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23821,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23822,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23821, 23820])).
% 40.28/26.77 tff(23823,plain,
% 40.28/26.77 (v101(constB173) | (~v100(constB173))),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23822, 150, 23812])).
% 40.28/26.77 tff(23824,plain,
% 40.28/26.77 (~v100(constB173)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23823, 23819])).
% 40.28/26.77 tff(23825,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23826,plain,
% 40.28/26.77 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))) <=> (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23827,plain,
% 40.28/26.77 (((~![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))))),
% 40.28/26.77 inference(monotonicity,[status(thm)],[23826])).
% 40.28/26.77 tff(23828,plain,
% 40.28/26.77 (((~![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)))),
% 40.28/26.77 inference(transitivity,[status(thm)],[23827, 23825])).
% 40.28/26.77 tff(23829,plain,
% 40.28/26.77 ((~![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)))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23830,plain,
% 40.28/26.77 ((~![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))),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23829, 23828])).
% 40.28/26.77 tff(23831,plain,
% 40.28/26.77 (v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23830, 207, 23812])).
% 40.28/26.77 tff(23832,plain,
% 40.28/26.77 (v90(constB172, bitIndex0) | (~v90(constB173, bitIndex0))),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23831, 23824])).
% 40.28/26.77 tff(23833,plain,
% 40.28/26.77 (~v90(constB173, bitIndex0)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23832, 23806])).
% 40.28/26.77 tff(23834,assumption,(~v90(constB173, bitIndex0)), introduced(assumption)).
% 40.28/26.77 tff(23835,plain,
% 40.28/26.77 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB171)) | v130(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB171)) | v130(constB171, bitIndex1))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23836,plain,
% 40.28/26.77 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB171)) | v130(constB171, bitIndex1))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23837,plain,
% 40.28/26.77 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB171)) | v130(constB171, bitIndex1)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23836, 23835])).
% 40.28/26.77 tff(23838,plain,
% 40.28/26.77 (v130(constB171, bitIndex1)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23837, 868, 23661])).
% 40.28/26.77 tff(23839,plain,
% 40.28/26.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23840,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23841,plain,
% 40.28/26.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23840, 23839])).
% 40.28/26.77 tff(23842,plain,
% 40.28/26.77 ((~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23841, 882, 23669])).
% 40.28/26.77 tff(23843,plain,
% 40.28/26.77 (v127(constB171, bitIndex1)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23842, 23838])).
% 40.28/26.77 tff(23844,plain,
% 40.28/26.77 (((~![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))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.77 tff(23845,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))),
% 40.28/26.77 inference(quant_inst,[status(thm)],[])).
% 40.28/26.77 tff(23846,plain,
% 40.28/26.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1)),
% 40.28/26.77 inference(modus_ponens,[status(thm)],[23845, 23844])).
% 40.28/26.77 tff(23847,plain,
% 40.28/26.77 ((~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23846, 897, 23681])).
% 40.28/26.77 tff(23848,plain,
% 40.28/26.77 (v129(constB172, bitIndex1)),
% 40.28/26.77 inference(unit_resolution,[status(thm)],[23847, 23843])).
% 40.28/26.77 tff(23849,plain,
% 40.28/26.77 (((~![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))),
% 40.28/26.77 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23850,plain,
% 40.28/26.78 (((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex0)) | v100(constB173) | v90(constB173, bitIndex0)) <=> ((~v90(constB172, bitIndex0)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex0))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23851,plain,
% 40.28/26.78 (((~![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)))),
% 40.28/26.78 inference(monotonicity,[status(thm)],[23850])).
% 40.28/26.78 tff(23852,plain,
% 40.28/26.78 (((~![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))),
% 40.28/26.78 inference(transitivity,[status(thm)],[23851, 23849])).
% 40.28/26.78 tff(23853,plain,
% 40.28/26.78 ((~![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))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23854,plain,
% 40.28/26.78 ((~![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)),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23853, 23852])).
% 40.28/26.78 tff(23855,plain,
% 40.28/26.78 ((~v90(constB172, bitIndex0)) | v100(constB173) | v90(constB173, bitIndex0)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23854, 649, 23812])).
% 40.28/26.78 tff(23856,plain,
% 40.28/26.78 ((~v90(constB172, bitIndex0)) | v90(constB173, bitIndex0)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23855, 23824])).
% 40.28/26.78 tff(23857,plain,
% 40.28/26.78 (~v90(constB172, bitIndex0)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23856, 23834])).
% 40.28/26.78 tff(23858,assumption,(~v100(constB172)), introduced(assumption)).
% 40.28/26.78 tff(23859,plain,
% 40.28/26.78 (~v110(constB172)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23803, 23858])).
% 40.28/26.78 tff(23860,plain,
% 40.28/26.78 (~v108(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23777, 23859])).
% 40.28/26.78 tff(23861,plain,
% 40.28/26.78 (~v112(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23699, 320, 23860])).
% 40.28/26.78 tff(23862,plain,
% 40.28/26.78 (v112(constB171) | (~v113(constB171))),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23710, 308, 23669])).
% 40.28/26.78 tff(23863,plain,
% 40.28/26.78 (~v113(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23862, 23861])).
% 40.28/26.78 tff(23864,plain,
% 40.28/26.78 (~v114(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23714, 294, 23863])).
% 40.28/26.78 tff(23865,plain,
% 40.28/26.78 (~v115(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23718, 283, 23864])).
% 40.28/26.78 tff(23866,plain,
% 40.28/26.78 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB171) | (~v123(constB171)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB171) | (~v123(constB171)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23867,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB171) | (~v123(constB171)))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23868,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB171) | (~v123(constB171))),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23867, 23866])).
% 40.28/26.78 tff(23869,plain,
% 40.28/26.78 (~v123(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23868, 1247, 23865])).
% 40.28/26.78 tff(23870,plain,
% 40.28/26.78 (~v116(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23722, 272, 23865])).
% 40.28/26.78 tff(23871,plain,
% 40.28/26.78 (~v117(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23726, 261, 23870])).
% 40.28/26.78 tff(23872,plain,
% 40.28/26.78 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB171) | (~v121(constB171)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB171) | (~v121(constB171)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23873,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB171) | (~v121(constB171)))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23874,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB171) | (~v121(constB171))),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23873, 23872])).
% 40.28/26.78 tff(23875,plain,
% 40.28/26.78 (~v121(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23874, 1130, 23871])).
% 40.28/26.78 tff(23876,assumption,(~v90(constB172, bitIndex0)), introduced(assumption)).
% 40.28/26.78 tff(23877,plain,
% 40.28/26.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23878,plain,
% 40.28/26.78 (((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0)) <=> ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23879,plain,
% 40.28/26.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0)))),
% 40.28/26.78 inference(monotonicity,[status(thm)],[23878])).
% 40.28/26.78 tff(23880,plain,
% 40.28/26.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 40.28/26.78 inference(transitivity,[status(thm)],[23879, 23877])).
% 40.28/26.78 tff(23881,plain,
% 40.28/26.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23882,plain,
% 40.28/26.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0)),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23881, 23880])).
% 40.28/26.78 tff(23883,plain,
% 40.28/26.78 ((~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23882, 649, 23681])).
% 40.28/26.78 tff(23884,plain,
% 40.28/26.78 (~v90(constB171, bitIndex0)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23883, 23858, 23876])).
% 40.28/26.78 tff(23885,plain,
% 40.28/26.78 (~v118(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23730, 250, 23871])).
% 40.28/26.78 tff(23886,plain,
% 40.28/26.78 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB171) | (~v119(constB171)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB171) | (~v119(constB171)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23887,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB171) | (~v119(constB171)))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23888,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB171) | (~v119(constB171))),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23887, 23886])).
% 40.28/26.78 tff(23889,plain,
% 40.28/26.78 (~v119(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23888, 239, 23885])).
% 40.28/26.78 tff(23890,assumption,(~v119(constB171)), introduced(assumption)).
% 40.28/26.78 tff(23891,assumption,(~v90(constB171, bitIndex2)), introduced(assumption)).
% 40.28/26.78 tff(23892,assumption,(~v121(constB171)), introduced(assumption)).
% 40.28/26.78 tff(23893,assumption,(~v90(constB171, bitIndex0)), introduced(assumption)).
% 40.28/26.78 tff(23894,plain,
% 40.28/26.78 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v121(constB171))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v121(constB171))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23895,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v121(constB171))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23896,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v121(constB171)),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23895, 23894])).
% 40.28/26.78 tff(23897,plain,
% 40.28/26.78 ((~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v121(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23896, 996, 23893])).
% 40.28/26.78 tff(23898,plain,
% 40.28/26.78 (~v90(constB171, bitIndex1)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23897, 23891, 23892])).
% 40.28/26.78 tff(23899,plain,
% 40.28/26.78 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB171) | v90(constB171, bitIndex0) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB171) | v90(constB171, bitIndex0) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23900,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB171) | v90(constB171, bitIndex0) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23901,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB171) | v90(constB171, bitIndex0) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2)),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23900, 23899])).
% 40.28/26.78 tff(23902,plain,
% 40.28/26.78 (v119(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23901, 228, 23893])).
% 40.28/26.78 tff(23903,plain,
% 40.28/26.78 ($false),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23902, 23898, 23891, 23890])).
% 40.28/26.78 tff(23904,plain,(v90(constB171, bitIndex2) | v119(constB171) | v90(constB171, bitIndex0) | v121(constB171)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.78 tff(23905,plain,
% 40.28/26.78 (v90(constB171, bitIndex2)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23904, 23889, 23884, 23875])).
% 40.28/26.78 tff(23906,plain,
% 40.28/26.78 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB171) | (~v125(constB171)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB171) | (~v125(constB171)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23907,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB171) | (~v125(constB171)))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23908,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB171) | (~v125(constB171))),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23907, 23906])).
% 40.28/26.78 tff(23909,plain,
% 40.28/26.78 (~v125(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23908, 1294, 23863])).
% 40.28/26.78 tff(23910,plain,
% 40.28/26.78 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex2)) | v125(constB171))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex2)) | v125(constB171))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23911,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex2)) | v125(constB171))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23912,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex2)) | v125(constB171)),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23911, 23910])).
% 40.28/26.78 tff(23913,plain,
% 40.28/26.78 ((~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex2)) | v125(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23912, 1308, 23884])).
% 40.28/26.78 tff(23914,plain,
% 40.28/26.78 (~v90(constB171, bitIndex1)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23913, 23905, 23909])).
% 40.28/26.78 tff(23915,plain,
% 40.28/26.78 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB171, bitIndex0) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex2)) | v123(constB171))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB171, bitIndex0) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex2)) | v123(constB171))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23916,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB171, bitIndex0) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex2)) | v123(constB171))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23917,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB171, bitIndex0) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex2)) | v123(constB171)),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23916, 23915])).
% 40.28/26.78 tff(23918,plain,
% 40.28/26.78 (v90(constB171, bitIndex1) | (~v90(constB171, bitIndex2)) | v123(constB171)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23917, 1280, 23884])).
% 40.28/26.78 tff(23919,plain,
% 40.28/26.78 ($false),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23918, 23914, 23905, 23869])).
% 40.28/26.78 tff(23920,plain,(v100(constB172) | v90(constB172, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.78 tff(23921,plain,
% 40.28/26.78 (v100(constB172)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23920, 23857])).
% 40.28/26.78 tff(23922,plain,
% 40.28/26.78 (((~![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)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23923,plain,
% 40.28/26.78 ((v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1))) <=> (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23924,plain,
% 40.28/26.78 (((~![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))))),
% 40.28/26.78 inference(monotonicity,[status(thm)],[23923])).
% 40.28/26.78 tff(23925,plain,
% 40.28/26.78 (((~![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)))),
% 40.28/26.78 inference(transitivity,[status(thm)],[23924, 23922])).
% 40.28/26.78 tff(23926,plain,
% 40.28/26.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23927,plain,
% 40.28/26.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172))),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23926, 23925])).
% 40.28/26.78 tff(23928,plain,
% 40.28/26.78 (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1))),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23927, 912, 23921])).
% 40.28/26.78 tff(23929,plain,
% 40.28/26.78 (v90(constB172, bitIndex1)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23928, 23848])).
% 40.28/26.78 tff(23930,plain,
% 40.28/26.78 (((~![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))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23931,plain,
% 40.28/26.78 (((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1)) <=> ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23932,plain,
% 40.28/26.78 (((~![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)))),
% 40.28/26.78 inference(monotonicity,[status(thm)],[23931])).
% 40.28/26.78 tff(23933,plain,
% 40.28/26.78 (((~![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))),
% 40.28/26.78 inference(transitivity,[status(thm)],[23932, 23930])).
% 40.28/26.78 tff(23934,plain,
% 40.28/26.78 ((~![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))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23935,plain,
% 40.28/26.78 ((~![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)),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23934, 23933])).
% 40.28/26.78 tff(23936,plain,
% 40.28/26.78 ((~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23935, 1049, 23812])).
% 40.28/26.78 tff(23937,plain,
% 40.28/26.78 ((~v90(constB172, bitIndex1)) | v90(constB173, bitIndex1)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23936, 23824])).
% 40.28/26.78 tff(23938,plain,
% 40.28/26.78 (v90(constB173, bitIndex1)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23937, 23929])).
% 40.28/26.78 tff(23939,plain,
% 40.28/26.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB171)) | (~v130(constB171, bitIndex2)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23940,plain,
% 40.28/26.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex2)))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23941,plain,
% 40.28/26.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB171)) | (~v130(constB171, bitIndex2))),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23940, 23939])).
% 40.28/26.78 tff(23942,plain,
% 40.28/26.78 (~v130(constB171, bitIndex2)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23941, 685, 23661])).
% 40.28/26.78 tff(23943,plain,
% 40.28/26.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23944,plain,
% 40.28/26.78 ((v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2))) <=> ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23945,plain,
% 40.28/26.78 (((~![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)))) | ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2)))),
% 40.28/26.78 inference(monotonicity,[status(thm)],[23944])).
% 40.28/26.78 tff(23946,plain,
% 40.28/26.78 (((~![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)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 40.28/26.78 inference(transitivity,[status(thm)],[23945, 23943])).
% 40.28/26.78 tff(23947,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23948,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2)),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23947, 23946])).
% 40.28/26.78 tff(23949,plain,
% 40.28/26.78 ((~v127(constB171, bitIndex2)) | v130(constB171, bitIndex2)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23948, 435, 23669])).
% 40.28/26.78 tff(23950,plain,
% 40.28/26.78 (~v127(constB171, bitIndex2)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23949, 23942])).
% 40.28/26.78 tff(23951,plain,
% 40.28/26.78 (((~![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)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23952,plain,
% 40.28/26.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23953,plain,
% 40.28/26.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2))),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23952, 23951])).
% 40.28/26.78 tff(23954,plain,
% 40.28/26.78 (v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2))),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23953, 453, 23681])).
% 40.28/26.78 tff(23955,plain,
% 40.28/26.78 (~v129(constB172, bitIndex2)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23954, 23950])).
% 40.28/26.78 tff(23956,plain,
% 40.28/26.78 (((~![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)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23957,plain,
% 40.28/26.78 (((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2)) <=> ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23958,plain,
% 40.28/26.78 (((~![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))))),
% 40.28/26.78 inference(monotonicity,[status(thm)],[23957])).
% 40.28/26.78 tff(23959,plain,
% 40.28/26.78 (((~![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)))),
% 40.28/26.78 inference(transitivity,[status(thm)],[23958, 23956])).
% 40.28/26.78 tff(23960,plain,
% 40.28/26.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23961,plain,
% 40.28/26.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172))),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23960, 23959])).
% 40.28/26.78 tff(23962,plain,
% 40.28/26.78 ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23961, 468, 23921])).
% 40.28/26.78 tff(23963,plain,
% 40.28/26.78 (~v90(constB172, bitIndex2)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23962, 23955])).
% 40.28/26.78 tff(23964,plain,
% 40.28/26.78 (((~![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)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23965,plain,
% 40.28/26.78 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2))) <=> (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23966,plain,
% 40.28/26.78 (((~![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))))),
% 40.28/26.78 inference(monotonicity,[status(thm)],[23965])).
% 40.28/26.78 tff(23967,plain,
% 40.28/26.78 (((~![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)))),
% 40.28/26.78 inference(transitivity,[status(thm)],[23966, 23964])).
% 40.28/26.78 tff(23968,plain,
% 40.28/26.78 ((~![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)))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23969,plain,
% 40.28/26.78 ((~![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))),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23968, 23967])).
% 40.28/26.78 tff(23970,plain,
% 40.28/26.78 (v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2))),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23969, 165, 23812])).
% 40.28/26.78 tff(23971,plain,
% 40.28/26.78 (v90(constB172, bitIndex2) | (~v90(constB173, bitIndex2))),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23970, 23824])).
% 40.28/26.78 tff(23972,plain,
% 40.28/26.78 (~v90(constB173, bitIndex2)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23971, 23963])).
% 40.28/26.78 tff(23973,assumption,(~v121(constB173)), introduced(assumption)).
% 40.28/26.78 tff(23974,plain,
% 40.28/26.78 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))),
% 40.28/26.78 inference(rewrite,[status(thm)],[])).
% 40.28/26.78 tff(23975,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))),
% 40.28/26.78 inference(quant_inst,[status(thm)],[])).
% 40.28/26.78 tff(23976,plain,
% 40.28/26.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173)),
% 40.28/26.78 inference(modus_ponens,[status(thm)],[23975, 23974])).
% 40.28/26.78 tff(23977,plain,
% 40.28/26.78 (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2)),
% 40.28/26.78 inference(unit_resolution,[status(thm)],[23976, 996, 23973])).
% 40.28/26.79 tff(23978,plain,
% 40.28/26.79 ($false),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[23977, 23972, 23938, 23834])).
% 40.28/26.79 tff(23979,plain,((~v120(constB171)) | v90(constB173, bitIndex0) | v121(constB173)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.79 tff(23980,plain,
% 40.28/26.79 (v121(constB173)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[23979, 23833, 23661])).
% 40.28/26.79 tff(23981,assumption,(~v122(constB175)), introduced(assumption)).
% 40.28/26.79 tff(23982,assumption,(~v90(constB175, bitIndex2)), introduced(assumption)).
% 40.28/26.79 tff(23983,assumption,(v121(constB173)), introduced(assumption)).
% 40.28/26.79 tff(23984,plain,
% 40.28/26.79 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB173) | (~v121(constB173)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB173) | (~v121(constB173)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(23985,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB173) | (~v121(constB173)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(23986,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB173) | (~v121(constB173))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[23985, 23984])).
% 40.28/26.79 tff(23987,plain,
% 40.28/26.79 (v117(constB173)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[23986, 1130, 23983])).
% 40.28/26.79 tff(23988,plain,
% 40.28/26.79 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB173) | (~v117(constB173)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB173) | (~v117(constB173)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(23989,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB173) | (~v117(constB173)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(23990,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB173) | (~v117(constB173))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[23989, 23988])).
% 40.28/26.79 tff(23991,plain,
% 40.28/26.79 (v116(constB173)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[23990, 261, 23987])).
% 40.28/26.79 tff(23992,plain,
% 40.28/26.79 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB173) | (~v116(constB173)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB173) | (~v116(constB173)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(23993,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB173) | (~v116(constB173)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(23994,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB173) | (~v116(constB173))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[23993, 23992])).
% 40.28/26.79 tff(23995,plain,
% 40.28/26.79 (v115(constB173)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[23994, 272, 23991])).
% 40.28/26.79 tff(23996,plain,
% 40.28/26.79 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(23997,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(23998,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[23997, 23996])).
% 40.28/26.79 tff(23999,plain,
% 40.28/26.79 (v114(constB173)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[23998, 283, 23995])).
% 40.28/26.79 tff(24000,plain,
% 40.28/26.79 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24001,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24002,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24001, 24000])).
% 40.28/26.79 tff(24003,plain,
% 40.28/26.79 (v113(constB173)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24002, 294, 23999])).
% 40.28/26.79 tff(24004,assumption,(v26(constB173)), introduced(assumption)).
% 40.28/26.79 tff(24005,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24006,plain,
% 40.28/26.79 ($false),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24005, 86, 24004])).
% 40.28/26.79 tff(24007,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.79 tff(24008,plain,
% 40.28/26.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | v112(constB173) | (~v113(constB173)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | v112(constB173) | (~v113(constB173)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24009,plain,
% 40.28/26.79 ((v26(constB173) | (~v113(constB173)) | v112(constB173)) <=> (v26(constB173) | v112(constB173) | (~v113(constB173)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24010,plain,
% 40.28/26.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | v112(constB173) | (~v113(constB173))))),
% 40.28/26.79 inference(monotonicity,[status(thm)],[24009])).
% 40.28/26.79 tff(24011,plain,
% 40.28/26.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | v112(constB173) | (~v113(constB173)))),
% 40.28/26.79 inference(transitivity,[status(thm)],[24010, 24008])).
% 40.28/26.79 tff(24012,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24013,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | v112(constB173) | (~v113(constB173))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24012, 24011])).
% 40.28/26.79 tff(24014,plain,
% 40.28/26.79 (v112(constB173) | (~v113(constB173))),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24013, 308, 24007])).
% 40.28/26.79 tff(24015,plain,
% 40.28/26.79 (v112(constB173)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24014, 24003])).
% 40.28/26.79 tff(24016,plain,
% 40.28/26.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24017,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24018,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24017, 24016])).
% 40.28/26.79 tff(24019,plain,
% 40.28/26.79 (v108(constB173)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24018, 320, 24015])).
% 40.28/26.79 tff(24020,plain,
% 40.28/26.79 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24021,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 40.28/26.79 tff(24022,plain,
% 40.28/26.79 (nextState(constB173, constB174)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24021, 24020])).
% 40.28/26.79 tff(24023,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24024,plain,
% 40.28/26.79 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24025,plain,
% 40.28/26.79 (((~![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))))),
% 40.28/26.79 inference(monotonicity,[status(thm)],[24024])).
% 40.28/26.79 tff(24026,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(transitivity,[status(thm)],[24025, 24023])).
% 40.28/26.79 tff(24027,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24028,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24027, 24026])).
% 40.28/26.79 tff(24029,plain,
% 40.28/26.79 (v110(constB174) | (~v108(constB173))),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24028, 337, 24022])).
% 40.28/26.79 tff(24030,plain,
% 40.28/26.79 (v110(constB174)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24029, 24019])).
% 40.28/26.79 tff(24031,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24032,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24033,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24032, 24031])).
% 40.28/26.79 tff(24034,plain,
% 40.28/26.79 (~v104(constB174)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24033, 355, 24022, 23809])).
% 40.28/26.79 tff(24035,plain,
% 40.28/26.79 (((~![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))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24036,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24037,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24036, 24035])).
% 40.28/26.79 tff(24038,plain,
% 40.28/26.79 (v102(constB174) | v104(constB174)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24037, 369, 24022])).
% 40.28/26.79 tff(24039,plain,
% 40.28/26.79 (v102(constB174)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24038, 24034])).
% 40.28/26.79 tff(24040,plain,
% 40.28/26.79 (v1(constB174) <=> v1(constB174)),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24041,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 40.28/26.79 tff(24042,plain,
% 40.28/26.79 (v1(constB174)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24041, 24040])).
% 40.28/26.79 tff(24043,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24044,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24045,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24044, 24043])).
% 40.28/26.79 tff(24046,plain,
% 40.28/26.79 (v101(constB174) | (~v102(constB174))),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24045, 387, 24022, 24042])).
% 40.28/26.79 tff(24047,plain,
% 40.28/26.79 (v101(constB174)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24046, 24039])).
% 40.28/26.79 tff(24048,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24049,plain,
% 40.28/26.79 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24050,plain,
% 40.28/26.79 (((~![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))))),
% 40.28/26.79 inference(monotonicity,[status(thm)],[24049])).
% 40.28/26.79 tff(24051,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(transitivity,[status(thm)],[24050, 24048])).
% 40.28/26.79 tff(24052,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24053,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24052, 24051])).
% 40.28/26.79 tff(24054,plain,
% 40.28/26.79 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24053, 402, 24022])).
% 40.28/26.79 tff(24055,plain,
% 40.28/26.79 (v100(constB174) | (~v110(constB174))),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24054, 24047])).
% 40.28/26.79 tff(24056,plain,
% 40.28/26.79 (v100(constB174)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24055, 24030])).
% 40.28/26.79 tff(24057,plain,
% 40.28/26.79 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24058,plain,
% 40.28/26.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24059,plain,
% 40.28/26.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24058, 24057])).
% 40.28/26.79 tff(24060,plain,
% 40.28/26.79 (v130(constB173, bitIndex0)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24059, 1758, 23983])).
% 40.28/26.79 tff(24061,plain,
% 40.28/26.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24062,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24063,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24062, 24061])).
% 40.28/26.79 tff(24064,plain,
% 40.28/26.79 ((~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24063, 601, 24007])).
% 40.28/26.79 tff(24065,plain,
% 40.28/26.79 (v127(constB173, bitIndex0)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24064, 24060])).
% 40.28/26.79 tff(24066,plain,
% 40.28/26.79 (((~![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))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24067,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24068,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 40.28/26.79 tff(24069,plain,
% 40.28/26.79 ((~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24068, 616, 24022])).
% 40.28/26.79 tff(24070,plain,
% 40.28/26.79 (v129(constB174, bitIndex0)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24069, 24065])).
% 40.28/26.79 tff(24071,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24072,plain,
% 40.28/26.79 ((v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0))) <=> (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24073,plain,
% 40.28/26.79 (((~![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))))),
% 40.28/26.79 inference(monotonicity,[status(thm)],[24072])).
% 40.28/26.79 tff(24074,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(transitivity,[status(thm)],[24073, 24071])).
% 40.28/26.79 tff(24075,plain,
% 40.28/26.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24076,plain,
% 40.28/26.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24075, 24074])).
% 40.28/26.79 tff(24077,plain,
% 40.28/26.79 (v90(constB174, bitIndex0) | (~v100(constB174))),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24076, 631, 24070])).
% 40.28/26.79 tff(24078,plain,
% 40.28/26.79 (v90(constB174, bitIndex0)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24077, 24056])).
% 40.28/26.79 tff(24079,plain,
% 40.28/26.79 ((~v1(constB175)) <=> (~v1(constB175))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24080,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 40.28/26.79 tff(24081,plain,
% 40.28/26.79 (~v1(constB175)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24080, 24079])).
% 40.28/26.79 tff(24082,plain,
% 40.28/26.79 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24083,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 40.28/26.79 tff(24084,plain,
% 40.28/26.79 (nextState(constB174, constB175)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24083, 24082])).
% 40.28/26.79 tff(24085,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24086,plain,
% 40.28/26.79 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24087,plain,
% 40.28/26.79 (((~![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))))),
% 40.28/26.79 inference(monotonicity,[status(thm)],[24086])).
% 40.28/26.79 tff(24088,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(transitivity,[status(thm)],[24087, 24085])).
% 40.28/26.79 tff(24089,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24090,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24089, 24088])).
% 40.28/26.79 tff(24091,plain,
% 40.28/26.79 (~v101(constB175)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24090, 133, 24084, 24081])).
% 40.28/26.79 tff(24092,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24093,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24094,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24093, 24092])).
% 40.28/26.79 tff(24095,plain,
% 40.28/26.79 (v101(constB175) | (~v100(constB175))),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24094, 150, 24084])).
% 40.28/26.79 tff(24096,plain,
% 40.28/26.79 (~v100(constB175)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24095, 24091])).
% 40.28/26.79 tff(24097,plain,
% 40.28/26.79 (((~![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))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24098,plain,
% 40.28/26.79 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)) <=> ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24099,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(monotonicity,[status(thm)],[24098])).
% 40.28/26.79 tff(24100,plain,
% 40.28/26.79 (((~![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))),
% 40.28/26.79 inference(transitivity,[status(thm)],[24099, 24097])).
% 40.28/26.79 tff(24101,plain,
% 40.28/26.79 ((~![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))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24102,plain,
% 40.28/26.79 ((~![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)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24101, 24100])).
% 40.28/26.79 tff(24103,plain,
% 40.28/26.79 ((~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24102, 649, 24084])).
% 40.28/26.79 tff(24104,plain,
% 40.28/26.79 ((~v90(constB174, bitIndex0)) | v90(constB175, bitIndex0)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24103, 24096])).
% 40.28/26.79 tff(24105,plain,
% 40.28/26.79 (v90(constB175, bitIndex0)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24104, 24078])).
% 40.28/26.79 tff(24106,plain,
% 40.28/26.79 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB173)) | v130(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB173)) | v130(constB173, bitIndex1))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24107,plain,
% 40.28/26.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB173)) | v130(constB173, bitIndex1))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24108,plain,
% 40.28/26.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB173)) | v130(constB173, bitIndex1)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24107, 24106])).
% 40.28/26.79 tff(24109,plain,
% 40.28/26.79 (v130(constB173, bitIndex1)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24108, 1717, 23983])).
% 40.28/26.79 tff(24110,plain,
% 40.28/26.79 (((~![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))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24111,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24112,plain,
% 40.28/26.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24111, 24110])).
% 40.28/26.79 tff(24113,plain,
% 40.28/26.79 ((~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24112, 882, 24007])).
% 40.28/26.79 tff(24114,plain,
% 40.28/26.79 (v127(constB173, bitIndex1)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24113, 24109])).
% 40.28/26.79 tff(24115,plain,
% 40.28/26.79 (((~![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))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24116,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24117,plain,
% 40.28/26.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24116, 24115])).
% 40.28/26.79 tff(24118,plain,
% 40.28/26.79 ((~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24117, 897, 24022])).
% 40.28/26.79 tff(24119,plain,
% 40.28/26.79 (v129(constB174, bitIndex1)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24118, 24114])).
% 40.28/26.79 tff(24120,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24121,plain,
% 40.28/26.79 ((v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1))) <=> (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24122,plain,
% 40.28/26.79 (((~![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))))),
% 40.28/26.79 inference(monotonicity,[status(thm)],[24121])).
% 40.28/26.79 tff(24123,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(transitivity,[status(thm)],[24122, 24120])).
% 40.28/26.79 tff(24124,plain,
% 40.28/26.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))),
% 40.28/26.79 inference(quant_inst,[status(thm)],[])).
% 40.28/26.79 tff(24125,plain,
% 40.28/26.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))),
% 40.28/26.79 inference(modus_ponens,[status(thm)],[24124, 24123])).
% 40.28/26.79 tff(24126,plain,
% 40.28/26.79 (v90(constB174, bitIndex1) | (~v100(constB174))),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24125, 912, 24119])).
% 40.28/26.79 tff(24127,plain,
% 40.28/26.79 (v90(constB174, bitIndex1)),
% 40.28/26.79 inference(unit_resolution,[status(thm)],[24126, 24056])).
% 40.28/26.79 tff(24128,plain,
% 40.28/26.79 (((~![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))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24129,plain,
% 40.28/26.79 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)) <=> ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 40.28/26.79 inference(rewrite,[status(thm)],[])).
% 40.28/26.79 tff(24130,plain,
% 40.28/26.79 (((~![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)))),
% 40.28/26.79 inference(monotonicity,[status(thm)],[24129])).
% 40.28/26.79 tff(24131,plain,
% 40.28/26.79 (((~![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))),
% 40.28/26.79 inference(transitivity,[status(thm)],[24130, 24128])).
% 40.28/26.79 tff(24132,plain,
% 40.28/26.79 ((~![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))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24133,plain,
% 40.28/26.80 ((~![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)),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24132, 24131])).
% 40.28/26.80 tff(24134,plain,
% 40.28/26.80 ((~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24133, 1049, 24084])).
% 40.28/26.80 tff(24135,plain,
% 40.28/26.80 ((~v90(constB174, bitIndex1)) | v90(constB175, bitIndex1)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24134, 24096])).
% 40.28/26.80 tff(24136,plain,
% 40.28/26.80 (v90(constB175, bitIndex1)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24135, 24127])).
% 40.28/26.80 tff(24137,plain,
% 40.28/26.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24138,plain,
% 40.28/26.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24139,plain,
% 40.28/26.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175)),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24138, 24137])).
% 40.28/26.80 tff(24140,plain,
% 40.28/26.80 ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24139, 1184, 23981])).
% 40.28/26.80 tff(24141,plain,
% 40.28/26.80 ($false),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24140, 24136, 24105, 23982])).
% 40.28/26.80 tff(24142,plain,((~v121(constB173)) | v90(constB175, bitIndex2) | v122(constB175)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.80 tff(24143,plain,
% 40.28/26.80 (v90(constB175, bitIndex2)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24142, 23980, 23981])).
% 40.28/26.80 tff(24144,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24145,plain,
% 40.28/26.80 (((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2))) <=> (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24146,plain,
% 40.28/26.80 (((~![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))))),
% 40.28/26.80 inference(monotonicity,[status(thm)],[24145])).
% 40.28/26.80 tff(24147,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(transitivity,[status(thm)],[24146, 24144])).
% 40.28/26.80 tff(24148,plain,
% 40.28/26.80 ((~![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)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24149,plain,
% 40.28/26.80 ((~![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))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24148, 24147])).
% 40.28/26.80 tff(24150,plain,
% 40.28/26.80 (v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2))),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24149, 165, 24084])).
% 40.28/26.80 tff(24151,plain,
% 40.28/26.80 (v90(constB174, bitIndex2) | (~v90(constB175, bitIndex2))),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24150, 24096])).
% 40.28/26.80 tff(24152,plain,
% 40.28/26.80 (v90(constB174, bitIndex2)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24151, 24143])).
% 40.28/26.80 tff(24153,plain,
% 40.28/26.80 (v100(constB172)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[23920, 23806])).
% 40.28/26.80 tff(24154,plain,
% 40.28/26.80 (~v90(constB172, bitIndex2)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[23961, 468, 24153, 23955])).
% 40.28/26.80 tff(24155,plain,
% 40.28/26.80 (~v90(constB173, bitIndex2)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[23971, 24154])).
% 40.28/26.80 tff(24156,plain,
% 40.28/26.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex2)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24157,plain,
% 40.28/26.80 (((~nextState(constB173, constB174)) | v90(constB173, bitIndex2) | v100(constB174) | (~v90(constB174, bitIndex2))) <=> (v90(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex2)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24158,plain,
% 40.28/26.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v90(constB173, bitIndex2) | v100(constB174) | (~v90(constB174, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex2))))),
% 40.28/26.80 inference(monotonicity,[status(thm)],[24157])).
% 40.28/26.80 tff(24159,plain,
% 40.28/26.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v90(constB173, bitIndex2) | v100(constB174) | (~v90(constB174, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex2)))),
% 40.28/26.80 inference(transitivity,[status(thm)],[24158, 24156])).
% 40.28/26.80 tff(24160,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v90(constB173, bitIndex2) | v100(constB174) | (~v90(constB174, bitIndex2)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24161,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex2))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24160, 24159])).
% 40.28/26.80 tff(24162,plain,
% 40.28/26.80 (v90(constB173, bitIndex2) | v100(constB174) | (~v90(constB174, bitIndex2))),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24161, 165, 24022])).
% 40.28/26.80 tff(24163,plain,
% 40.28/26.80 (v100(constB174)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24162, 24155, 24152])).
% 40.28/26.80 tff(24164,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24165,plain,
% 40.28/26.80 (((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2)) <=> ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24166,plain,
% 40.28/26.80 (((~![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))))),
% 40.28/26.80 inference(monotonicity,[status(thm)],[24165])).
% 40.28/26.80 tff(24167,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(transitivity,[status(thm)],[24166, 24164])).
% 40.28/26.80 tff(24168,plain,
% 40.28/26.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24169,plain,
% 40.28/26.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24168, 24167])).
% 40.28/26.80 tff(24170,plain,
% 40.28/26.80 (v129(constB174, bitIndex2) | (~v100(constB174))),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24169, 468, 24152])).
% 40.28/26.80 tff(24171,plain,
% 40.28/26.80 (v129(constB174, bitIndex2)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24170, 24163])).
% 40.28/26.80 tff(24172,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24173,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24174,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24173, 24172])).
% 40.28/26.80 tff(24175,plain,
% 40.28/26.80 (v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2))),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24174, 453, 24022])).
% 40.28/26.80 tff(24176,plain,
% 40.28/26.80 (v127(constB173, bitIndex2)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24175, 24171])).
% 40.28/26.80 tff(24177,plain,
% 40.28/26.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24178,plain,
% 40.28/26.80 ((v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2))) <=> ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24179,plain,
% 40.28/26.80 (((~![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)))) | ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2)))),
% 40.28/26.80 inference(monotonicity,[status(thm)],[24178])).
% 40.28/26.80 tff(24180,plain,
% 40.28/26.80 (((~![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)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 40.28/26.80 inference(transitivity,[status(thm)],[24179, 24177])).
% 40.28/26.80 tff(24181,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24182,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2)),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24181, 24180])).
% 40.28/26.80 tff(24183,plain,
% 40.28/26.80 ((~v127(constB173, bitIndex2)) | v130(constB173, bitIndex2)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24182, 435, 24007])).
% 40.28/26.80 tff(24184,plain,
% 40.28/26.80 (v130(constB173, bitIndex2)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24183, 24176])).
% 40.28/26.80 tff(24185,plain,
% 40.28/26.80 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB173)) | (~v130(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB173)) | (~v130(constB173, bitIndex2)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24186,plain,
% 40.28/26.80 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB173)) | (~v130(constB173, bitIndex2)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24187,plain,
% 40.28/26.80 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB173)) | (~v130(constB173, bitIndex2))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24186, 24185])).
% 40.28/26.80 tff(24188,plain,
% 40.28/26.80 ($false),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24187, 1102, 24184, 23980])).
% 40.28/26.80 tff(24189,plain,((~v120(constB171)) | v122(constB175)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.80 tff(24190,plain,
% 40.28/26.80 (v122(constB175)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24189, 23660])).
% 40.28/26.80 tff(24191,plain,
% 40.28/26.80 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB175) | (~v122(constB175)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB175) | (~v122(constB175)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24192,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB175) | (~v122(constB175)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24193,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB175) | (~v122(constB175))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24192, 24191])).
% 40.28/26.80 tff(24194,plain,
% 40.28/26.80 (v116(constB175)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24193, 1149, 24190])).
% 40.28/26.80 tff(24195,plain,
% 40.28/26.80 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB175) | (~v116(constB175)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB175) | (~v116(constB175)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24196,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB175) | (~v116(constB175)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24197,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB175) | (~v116(constB175))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24196, 24195])).
% 40.28/26.80 tff(24198,plain,
% 40.28/26.80 (v115(constB175)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24197, 272, 24194])).
% 40.28/26.80 tff(24199,plain,
% 40.28/26.80 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB175) | (~v115(constB175)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB175) | (~v115(constB175)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24200,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB175) | (~v115(constB175)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24201,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB175) | (~v115(constB175))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24200, 24199])).
% 40.28/26.80 tff(24202,plain,
% 40.28/26.80 (v114(constB175)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24201, 283, 24198])).
% 40.28/26.80 tff(24203,plain,
% 40.28/26.80 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB175) | (~v114(constB175)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB175) | (~v114(constB175)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24204,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB175) | (~v114(constB175)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24205,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB175) | (~v114(constB175))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24204, 24203])).
% 40.28/26.80 tff(24206,plain,
% 40.28/26.80 (v113(constB175)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24205, 294, 24202])).
% 40.28/26.80 tff(24207,assumption,(v26(constB175)), introduced(assumption)).
% 40.28/26.80 tff(24208,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24209,plain,
% 40.28/26.80 ($false),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24208, 86, 24207])).
% 40.28/26.80 tff(24210,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 40.28/26.80 tff(24211,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24212,plain,
% 40.28/26.80 ((v26(constB175) | (~v113(constB175)) | v112(constB175)) <=> (v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24213,plain,
% 40.28/26.80 (((~![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))))),
% 40.28/26.80 inference(monotonicity,[status(thm)],[24212])).
% 40.28/26.80 tff(24214,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(transitivity,[status(thm)],[24213, 24211])).
% 40.28/26.80 tff(24215,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24216,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24215, 24214])).
% 40.28/26.80 tff(24217,plain,
% 40.28/26.80 (v112(constB175) | (~v113(constB175))),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24216, 308, 24210])).
% 40.28/26.80 tff(24218,plain,
% 40.28/26.80 (v112(constB175)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24217, 24206])).
% 40.28/26.80 tff(24219,plain,
% 40.28/26.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24220,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24221,plain,
% 40.28/26.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24220, 24219])).
% 40.28/26.80 tff(24222,plain,
% 40.28/26.80 (v108(constB175)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24221, 320, 24218])).
% 40.28/26.80 tff(24223,plain,
% 40.28/26.80 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24224,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 40.28/26.80 tff(24225,plain,
% 40.28/26.80 (nextState(constB175, constB176)),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24224, 24223])).
% 40.28/26.80 tff(24226,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24227,plain,
% 40.28/26.80 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24228,plain,
% 40.28/26.80 (((~![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))))),
% 40.28/26.80 inference(monotonicity,[status(thm)],[24227])).
% 40.28/26.80 tff(24229,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(transitivity,[status(thm)],[24228, 24226])).
% 40.28/26.80 tff(24230,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24231,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24230, 24229])).
% 40.28/26.80 tff(24232,plain,
% 40.28/26.80 (v110(constB176) | (~v108(constB175))),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24231, 337, 24225])).
% 40.28/26.80 tff(24233,plain,
% 40.28/26.80 (v110(constB176)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24232, 24222])).
% 40.28/26.80 tff(24234,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24235,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24236,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24235, 24234])).
% 40.28/26.80 tff(24237,plain,
% 40.28/26.80 (~v104(constB176)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24236, 355, 24225, 24081])).
% 40.28/26.80 tff(24238,plain,
% 40.28/26.80 (((~![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))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24239,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24240,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24239, 24238])).
% 40.28/26.80 tff(24241,plain,
% 40.28/26.80 (v102(constB176) | v104(constB176)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24240, 369, 24225])).
% 40.28/26.80 tff(24242,plain,
% 40.28/26.80 (v102(constB176)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24241, 24237])).
% 40.28/26.80 tff(24243,plain,
% 40.28/26.80 (v1(constB176) <=> v1(constB176)),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24244,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 40.28/26.80 tff(24245,plain,
% 40.28/26.80 (v1(constB176)),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24244, 24243])).
% 40.28/26.80 tff(24246,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24247,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24248,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24247, 24246])).
% 40.28/26.80 tff(24249,plain,
% 40.28/26.80 (v101(constB176) | (~v102(constB176))),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24248, 387, 24225, 24245])).
% 40.28/26.80 tff(24250,plain,
% 40.28/26.80 (v101(constB176)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24249, 24242])).
% 40.28/26.80 tff(24251,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24252,plain,
% 40.28/26.80 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24253,plain,
% 40.28/26.80 (((~![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))))),
% 40.28/26.80 inference(monotonicity,[status(thm)],[24252])).
% 40.28/26.80 tff(24254,plain,
% 40.28/26.80 (((~![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)))),
% 40.28/26.80 inference(transitivity,[status(thm)],[24253, 24251])).
% 40.28/26.80 tff(24255,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24256,plain,
% 40.28/26.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24255, 24254])).
% 40.28/26.80 tff(24257,plain,
% 40.28/26.80 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24256, 402, 24225])).
% 40.28/26.80 tff(24258,plain,
% 40.28/26.80 (v100(constB176) | (~v110(constB176))),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24257, 24250])).
% 40.28/26.80 tff(24259,plain,
% 40.28/26.80 (v100(constB176)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24258, 24233])).
% 40.28/26.80 tff(24260,plain,
% 40.28/26.80 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB175)) | (~v130(constB175, bitIndex0)))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24261,plain,
% 40.28/26.80 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex0)))),
% 40.28/26.80 inference(quant_inst,[status(thm)],[])).
% 40.28/26.80 tff(24262,plain,
% 40.28/26.80 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB175)) | (~v130(constB175, bitIndex0))),
% 40.28/26.80 inference(modus_ponens,[status(thm)],[24261, 24260])).
% 40.28/26.80 tff(24263,plain,
% 40.28/26.80 (~v130(constB175, bitIndex0)),
% 40.28/26.80 inference(unit_resolution,[status(thm)],[24262, 1486, 24190])).
% 40.28/26.80 tff(24264,plain,
% 40.28/26.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24265,plain,
% 40.28/26.80 ((v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0))) <=> ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 40.28/26.80 inference(rewrite,[status(thm)],[])).
% 40.28/26.80 tff(24266,plain,
% 40.28/26.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0)))),
% 40.28/26.81 inference(monotonicity,[status(thm)],[24265])).
% 40.28/26.81 tff(24267,plain,
% 40.28/26.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 40.28/26.81 inference(transitivity,[status(thm)],[24266, 24264])).
% 40.28/26.81 tff(24268,plain,
% 40.28/26.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24269,plain,
% 40.28/26.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0)),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24268, 24267])).
% 40.28/26.81 tff(24270,plain,
% 40.28/26.81 ((~v127(constB175, bitIndex0)) | v130(constB175, bitIndex0)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24269, 944, 24210])).
% 40.28/26.81 tff(24271,plain,
% 40.28/26.81 (~v127(constB175, bitIndex0)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24270, 24263])).
% 40.28/26.81 tff(24272,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24273,plain,
% 40.28/26.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24274,plain,
% 40.28/26.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0))),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24273, 24272])).
% 40.28/26.81 tff(24275,plain,
% 40.28/26.81 (v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0))),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24274, 962, 24225])).
% 40.28/26.81 tff(24276,plain,
% 40.28/26.81 (~v129(constB176, bitIndex0)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24275, 24271])).
% 40.28/26.81 tff(24277,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24278,plain,
% 40.28/26.81 (((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0)) <=> ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24279,plain,
% 40.28/26.81 (((~![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))))),
% 40.28/26.81 inference(monotonicity,[status(thm)],[24278])).
% 40.28/26.81 tff(24280,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(transitivity,[status(thm)],[24279, 24277])).
% 40.28/26.81 tff(24281,plain,
% 40.28/26.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24282,plain,
% 40.28/26.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176))),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24281, 24280])).
% 40.28/26.81 tff(24283,plain,
% 40.28/26.81 ((~v90(constB176, bitIndex0)) | (~v100(constB176))),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24282, 977, 24276])).
% 40.28/26.81 tff(24284,plain,
% 40.28/26.81 (~v90(constB176, bitIndex0)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24283, 24259])).
% 40.28/26.81 tff(24285,plain,
% 40.28/26.81 ((~v1(constB177)) <=> (~v1(constB177))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24286,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 40.28/26.81 tff(24287,plain,
% 40.28/26.81 (~v1(constB177)),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24286, 24285])).
% 40.28/26.81 tff(24288,plain,
% 40.28/26.81 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24289,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 40.28/26.81 tff(24290,plain,
% 40.28/26.81 (nextState(constB176, constB177)),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24289, 24288])).
% 40.28/26.81 tff(24291,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24292,plain,
% 40.28/26.81 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24293,plain,
% 40.28/26.81 (((~![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))))),
% 40.28/26.81 inference(monotonicity,[status(thm)],[24292])).
% 40.28/26.81 tff(24294,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(transitivity,[status(thm)],[24293, 24291])).
% 40.28/26.81 tff(24295,plain,
% 40.28/26.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24296,plain,
% 40.28/26.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24295, 24294])).
% 40.28/26.81 tff(24297,plain,
% 40.28/26.81 (~v101(constB177)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24296, 133, 24290, 24287])).
% 40.28/26.81 tff(24298,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24299,plain,
% 40.28/26.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24300,plain,
% 40.28/26.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24299, 24298])).
% 40.28/26.81 tff(24301,plain,
% 40.28/26.81 (v101(constB177) | (~v100(constB177))),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24300, 150, 24290])).
% 40.28/26.81 tff(24302,plain,
% 40.28/26.81 (~v100(constB177)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24301, 24297])).
% 40.28/26.81 tff(24303,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24304,plain,
% 40.28/26.81 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0))) <=> (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24305,plain,
% 40.28/26.81 (((~![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))))),
% 40.28/26.81 inference(monotonicity,[status(thm)],[24304])).
% 40.28/26.81 tff(24306,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(transitivity,[status(thm)],[24305, 24303])).
% 40.28/26.81 tff(24307,plain,
% 40.28/26.81 ((~![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)))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24308,plain,
% 40.28/26.81 ((~![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))),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24307, 24306])).
% 40.28/26.81 tff(24309,plain,
% 40.28/26.81 (v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0))),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24308, 207, 24290])).
% 40.28/26.81 tff(24310,plain,
% 40.28/26.81 (v90(constB176, bitIndex0) | (~v90(constB177, bitIndex0))),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24309, 24302])).
% 40.28/26.81 tff(24311,plain,
% 40.28/26.81 (~v90(constB177, bitIndex0)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24310, 24284])).
% 40.28/26.81 tff(24312,assumption,(v122(constB175)), introduced(assumption)).
% 40.28/26.81 tff(24313,plain,
% 40.28/26.81 (v116(constB175)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24193, 1149, 24312])).
% 40.28/26.81 tff(24314,plain,
% 40.28/26.81 (v115(constB175)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24197, 272, 24313])).
% 40.28/26.81 tff(24315,plain,
% 40.28/26.81 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB175)) | (~v130(constB175, bitIndex1)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24316,plain,
% 40.28/26.81 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex1)))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24317,plain,
% 40.28/26.81 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB175)) | (~v130(constB175, bitIndex1))),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24316, 24315])).
% 40.28/26.81 tff(24318,plain,
% 40.28/26.81 (~v130(constB175, bitIndex1)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24317, 2137, 24312])).
% 40.28/26.81 tff(24319,plain,
% 40.28/26.81 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB175)) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB175)) | v130(constB175, bitIndex2))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24320,plain,
% 40.28/26.81 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB175)) | v130(constB175, bitIndex2))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24321,plain,
% 40.28/26.81 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB175)) | v130(constB175, bitIndex2)),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24320, 24319])).
% 40.28/26.81 tff(24322,plain,
% 40.28/26.81 (v130(constB175, bitIndex2)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24321, 1803, 24312])).
% 40.28/26.81 tff(24323,assumption,(~v123(constB177)), introduced(assumption)).
% 40.28/26.81 tff(24324,plain,
% 40.28/26.81 (~v130(constB175, bitIndex0)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24262, 1486, 24312])).
% 40.28/26.81 tff(24325,assumption,(~v26(constB175)), introduced(assumption)).
% 40.28/26.81 tff(24326,assumption,(v113(constB175)), introduced(assumption)).
% 40.28/26.81 tff(24327,plain,
% 40.28/26.81 (v26(constB175) | v112(constB175)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24216, 308, 24326])).
% 40.28/26.81 tff(24328,plain,
% 40.28/26.81 (v112(constB175)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24327, 24325])).
% 40.28/26.81 tff(24329,plain,
% 40.28/26.81 (v108(constB175)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24221, 320, 24328])).
% 40.28/26.81 tff(24330,plain,
% 40.28/26.81 (v110(constB176)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24232, 24329])).
% 40.28/26.81 tff(24331,plain,
% 40.28/26.81 (v100(constB176)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24258, 24330])).
% 40.28/26.81 tff(24332,assumption,(v130(constB175, bitIndex2)), introduced(assumption)).
% 40.28/26.81 tff(24333,plain,
% 40.28/26.81 (((~![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))) | v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24334,plain,
% 40.28/26.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24335,plain,
% 40.28/26.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2)),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24334, 24333])).
% 40.28/26.81 tff(24336,plain,
% 40.28/26.81 (v26(constB175) | v127(constB175, bitIndex2)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24335, 1821, 24332])).
% 40.28/26.81 tff(24337,plain,
% 40.28/26.81 (v127(constB175, bitIndex2)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24336, 24325])).
% 40.28/26.81 tff(24338,plain,
% 40.28/26.81 (((~![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))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24339,plain,
% 40.28/26.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24340,plain,
% 40.28/26.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2)),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24339, 24338])).
% 40.28/26.81 tff(24341,plain,
% 40.28/26.81 ((~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24340, 1836, 24225])).
% 40.28/26.81 tff(24342,plain,
% 40.28/26.81 (v129(constB176, bitIndex2)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24341, 24337])).
% 40.28/26.81 tff(24343,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24344,plain,
% 40.28/26.81 ((v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2))) <=> (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24345,plain,
% 40.28/26.81 (((~![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))))),
% 40.28/26.81 inference(monotonicity,[status(thm)],[24344])).
% 40.28/26.81 tff(24346,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(transitivity,[status(thm)],[24345, 24343])).
% 40.28/26.81 tff(24347,plain,
% 40.28/26.81 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24348,plain,
% 40.28/26.81 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176))),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24347, 24346])).
% 40.28/26.81 tff(24349,plain,
% 40.28/26.81 (v90(constB176, bitIndex2) | (~v100(constB176))),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24348, 2100, 24342])).
% 40.28/26.81 tff(24350,plain,
% 40.28/26.81 (v90(constB176, bitIndex2)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24349, 24331])).
% 40.28/26.81 tff(24351,plain,
% 40.28/26.81 (((~![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))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24352,plain,
% 40.28/26.81 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2)) <=> ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24353,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(monotonicity,[status(thm)],[24352])).
% 40.28/26.81 tff(24354,plain,
% 40.28/26.81 (((~![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))),
% 40.28/26.81 inference(transitivity,[status(thm)],[24353, 24351])).
% 40.28/26.81 tff(24355,plain,
% 40.28/26.81 ((~![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))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24356,plain,
% 40.28/26.81 ((~![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)),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24355, 24354])).
% 40.28/26.81 tff(24357,plain,
% 40.28/26.81 ((~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24356, 2118, 24290])).
% 40.28/26.81 tff(24358,plain,
% 40.28/26.81 ((~v90(constB176, bitIndex2)) | v90(constB177, bitIndex2)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24357, 24302])).
% 40.28/26.81 tff(24359,plain,
% 40.28/26.81 (v90(constB177, bitIndex2)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24358, 24350])).
% 40.28/26.81 tff(24360,assumption,(~v130(constB175, bitIndex0)), introduced(assumption)).
% 40.28/26.81 tff(24361,plain,
% 40.28/26.81 ((~v127(constB175, bitIndex0)) | v26(constB175)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24269, 944, 24360])).
% 40.28/26.81 tff(24362,plain,
% 40.28/26.81 (~v127(constB175, bitIndex0)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24361, 24325])).
% 40.28/26.81 tff(24363,plain,
% 40.28/26.81 (~v129(constB176, bitIndex0)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24275, 24362])).
% 40.28/26.81 tff(24364,plain,
% 40.28/26.81 ((~v90(constB176, bitIndex0)) | (~v100(constB176))),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24282, 977, 24363])).
% 40.28/26.81 tff(24365,plain,
% 40.28/26.81 (~v90(constB176, bitIndex0)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24364, 24331])).
% 40.28/26.81 tff(24366,plain,
% 40.28/26.81 (~v90(constB177, bitIndex0)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24310, 24365])).
% 40.28/26.81 tff(24367,assumption,(~v130(constB175, bitIndex1)), introduced(assumption)).
% 40.28/26.81 tff(24368,plain,
% 40.28/26.81 (((~![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))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24369,plain,
% 40.28/26.81 ((v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1))) <=> ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24370,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(monotonicity,[status(thm)],[24369])).
% 40.28/26.81 tff(24371,plain,
% 40.28/26.81 (((~![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))),
% 40.28/26.81 inference(transitivity,[status(thm)],[24370, 24368])).
% 40.28/26.81 tff(24372,plain,
% 40.28/26.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24373,plain,
% 40.28/26.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24372, 24371])).
% 40.28/26.81 tff(24374,plain,
% 40.28/26.81 ((~v127(constB175, bitIndex1)) | v26(constB175)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24373, 527, 24367])).
% 40.28/26.81 tff(24375,plain,
% 40.28/26.81 (~v127(constB175, bitIndex1)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24374, 24325])).
% 40.28/26.81 tff(24376,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24377,plain,
% 40.28/26.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 40.28/26.81 inference(quant_inst,[status(thm)],[])).
% 40.28/26.81 tff(24378,plain,
% 40.28/26.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 40.28/26.81 inference(modus_ponens,[status(thm)],[24377, 24376])).
% 40.28/26.81 tff(24379,plain,
% 40.28/26.81 (v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24378, 545, 24225])).
% 40.28/26.81 tff(24380,plain,
% 40.28/26.81 (~v129(constB176, bitIndex1)),
% 40.28/26.81 inference(unit_resolution,[status(thm)],[24379, 24375])).
% 40.28/26.81 tff(24381,plain,
% 40.28/26.81 (((~![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)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24382,plain,
% 40.28/26.81 (((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1)) <=> ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 40.28/26.81 inference(rewrite,[status(thm)],[])).
% 40.28/26.81 tff(24383,plain,
% 40.28/26.81 (((~![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))))),
% 40.38/26.81 inference(monotonicity,[status(thm)],[24382])).
% 40.38/26.81 tff(24384,plain,
% 40.38/26.81 (((~![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)))),
% 40.38/26.81 inference(transitivity,[status(thm)],[24383, 24381])).
% 40.38/26.81 tff(24385,plain,
% 40.38/26.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))),
% 40.38/26.81 inference(quant_inst,[status(thm)],[])).
% 40.38/26.81 tff(24386,plain,
% 40.38/26.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))),
% 40.38/26.81 inference(modus_ponens,[status(thm)],[24385, 24384])).
% 40.38/26.81 tff(24387,plain,
% 40.38/26.81 ((~v90(constB176, bitIndex1)) | (~v100(constB176))),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24386, 560, 24380])).
% 40.38/26.81 tff(24388,plain,
% 40.38/26.81 (~v90(constB176, bitIndex1)),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24387, 24331])).
% 40.38/26.81 tff(24389,plain,
% 40.38/26.81 (((~![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)))),
% 40.38/26.81 inference(rewrite,[status(thm)],[])).
% 40.38/26.81 tff(24390,plain,
% 40.38/26.81 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))) <=> (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 40.38/26.81 inference(rewrite,[status(thm)],[])).
% 40.38/26.81 tff(24391,plain,
% 40.38/26.81 (((~![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))))),
% 40.38/26.81 inference(monotonicity,[status(thm)],[24390])).
% 40.38/26.81 tff(24392,plain,
% 40.38/26.81 (((~![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)))),
% 40.38/26.81 inference(transitivity,[status(thm)],[24391, 24389])).
% 40.38/26.81 tff(24393,plain,
% 40.38/26.81 ((~![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)))),
% 40.38/26.81 inference(quant_inst,[status(thm)],[])).
% 40.38/26.81 tff(24394,plain,
% 40.38/26.81 ((~![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))),
% 40.38/26.81 inference(modus_ponens,[status(thm)],[24393, 24392])).
% 40.38/26.81 tff(24395,plain,
% 40.38/26.81 (v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24394, 186, 24290])).
% 40.38/26.81 tff(24396,plain,
% 40.38/26.81 (v90(constB176, bitIndex1) | (~v90(constB177, bitIndex1))),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24395, 24302])).
% 40.38/26.81 tff(24397,plain,
% 40.38/26.81 (~v90(constB177, bitIndex1)),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24396, 24388])).
% 40.38/26.81 tff(24398,plain,
% 40.38/26.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))),
% 40.38/26.81 inference(rewrite,[status(thm)],[])).
% 40.38/26.81 tff(24399,plain,
% 40.38/26.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))),
% 40.38/26.81 inference(quant_inst,[status(thm)],[])).
% 40.38/26.81 tff(24400,plain,
% 40.38/26.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177)),
% 40.38/26.81 inference(modus_ponens,[status(thm)],[24399, 24398])).
% 40.38/26.81 tff(24401,plain,
% 40.38/26.81 (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2))),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24400, 1280, 24323])).
% 40.38/26.81 tff(24402,plain,
% 40.38/26.81 ($false),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24401, 24397, 24366, 24359])).
% 40.38/26.81 tff(24403,plain,(v26(constB175) | v123(constB177) | (~v113(constB175)) | (~v130(constB175, bitIndex2)) | v130(constB175, bitIndex1) | v130(constB175, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 40.38/26.81 tff(24404,plain,
% 40.38/26.81 (v123(constB177) | (~v113(constB175)) | (~v130(constB175, bitIndex2)) | v130(constB175, bitIndex1) | v130(constB175, bitIndex0)),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24403, 24210])).
% 40.38/26.81 tff(24405,plain,
% 40.38/26.81 (~v113(constB175)),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24404, 24324, 24323, 24322, 24318])).
% 40.38/26.81 tff(24406,plain,
% 40.38/26.81 (~v114(constB175)),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24205, 294, 24405])).
% 40.38/26.81 tff(24407,plain,
% 40.38/26.81 ($false),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24201, 283, 24406, 24314])).
% 40.38/26.81 tff(24408,plain,((~v122(constB175)) | v123(constB177)), inference(lemma,lemma(discharge,[]))).
% 40.38/26.81 tff(24409,plain,
% 40.38/26.81 (v123(constB177)),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24408, 24190])).
% 40.38/26.81 tff(24410,plain,
% 40.38/26.81 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB177)) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB177)) | v130(constB177, bitIndex0))),
% 40.38/26.81 inference(rewrite,[status(thm)],[])).
% 40.38/26.81 tff(24411,plain,
% 40.38/26.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB177)) | v130(constB177, bitIndex0))),
% 40.38/26.81 inference(quant_inst,[status(thm)],[])).
% 40.38/26.81 tff(24412,plain,
% 40.38/26.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB177)) | v130(constB177, bitIndex0)),
% 40.38/26.81 inference(modus_ponens,[status(thm)],[24411, 24410])).
% 40.38/26.81 tff(24413,plain,
% 40.38/26.81 (v130(constB177, bitIndex0)),
% 40.38/26.81 inference(unit_resolution,[status(thm)],[24412, 2258, 24409])).
% 40.38/26.81 tff(24414,plain,
% 40.38/26.81 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB177) | (~v123(constB177)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB177) | (~v123(constB177)))),
% 40.38/26.81 inference(rewrite,[status(thm)],[])).
% 40.38/26.81 tff(24415,plain,
% 40.38/26.81 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB177) | (~v123(constB177)))),
% 40.38/26.81 inference(quant_inst,[status(thm)],[])).
% 40.38/26.81 tff(24416,plain,
% 40.38/26.81 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB177) | (~v123(constB177))),
% 40.38/26.81 inference(modus_ponens,[status(thm)],[24415, 24414])).
% 40.38/26.81 tff(24417,plain,
% 40.38/26.81 (v115(constB177)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24416, 1247, 24409])).
% 40.38/26.82 tff(24418,plain,
% 40.38/26.82 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24419,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24420,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24419, 24418])).
% 40.38/26.82 tff(24421,plain,
% 40.38/26.82 (v114(constB177)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24420, 283, 24417])).
% 40.38/26.82 tff(24422,plain,
% 40.38/26.82 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24423,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24424,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24423, 24422])).
% 40.38/26.82 tff(24425,plain,
% 40.38/26.82 (v113(constB177)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24424, 294, 24421])).
% 40.38/26.82 tff(24426,assumption,(v26(constB177)), introduced(assumption)).
% 40.38/26.82 tff(24427,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24428,plain,
% 40.38/26.82 ($false),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24427, 86, 24426])).
% 40.38/26.82 tff(24429,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 40.38/26.82 tff(24430,assumption,(~v26(constB177)), introduced(assumption)).
% 40.38/26.82 tff(24431,assumption,(v113(constB177)), introduced(assumption)).
% 40.38/26.82 tff(24432,plain,
% 40.38/26.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24433,plain,
% 40.38/26.82 ((v26(constB177) | (~v113(constB177)) | v112(constB177)) <=> (v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24434,plain,
% 40.38/26.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177))))),
% 40.38/26.82 inference(monotonicity,[status(thm)],[24433])).
% 40.38/26.82 tff(24435,plain,
% 40.38/26.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 40.38/26.82 inference(transitivity,[status(thm)],[24434, 24432])).
% 40.38/26.82 tff(24436,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24437,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24436, 24435])).
% 40.38/26.82 tff(24438,plain,
% 40.38/26.82 (v26(constB177) | v112(constB177)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24437, 308, 24431])).
% 40.38/26.82 tff(24439,plain,
% 40.38/26.82 (v112(constB177)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24438, 24430])).
% 40.38/26.82 tff(24440,assumption,(v130(constB177, bitIndex0)), introduced(assumption)).
% 40.38/26.82 tff(24441,plain,
% 40.38/26.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24442,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24443,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0)),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24442, 24441])).
% 40.38/26.82 tff(24444,plain,
% 40.38/26.82 (v26(constB177) | v127(constB177, bitIndex0)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24443, 601, 24440])).
% 40.38/26.82 tff(24445,plain,
% 40.38/26.82 (v127(constB177, bitIndex0)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24444, 24430])).
% 40.38/26.82 tff(24446,plain,
% 40.38/26.82 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24447,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 40.38/26.82 tff(24448,plain,
% 40.38/26.82 (nextState(constB177, constB178)),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24447, 24446])).
% 40.38/26.82 tff(24449,plain,
% 40.38/26.82 (((~![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))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24450,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24451,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0)),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24450, 24449])).
% 40.38/26.82 tff(24452,plain,
% 40.38/26.82 ((~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24451, 616, 24448])).
% 40.38/26.82 tff(24453,plain,
% 40.38/26.82 (v129(constB178, bitIndex0)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24452, 24445])).
% 40.38/26.82 tff(24454,assumption,(~v90(constB178, bitIndex0)), introduced(assumption)).
% 40.38/26.82 tff(24455,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24456,plain,
% 40.38/26.82 ((v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0))) <=> (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24457,plain,
% 40.38/26.82 (((~![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))))),
% 40.38/26.82 inference(monotonicity,[status(thm)],[24456])).
% 40.38/26.82 tff(24458,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(transitivity,[status(thm)],[24457, 24455])).
% 40.38/26.82 tff(24459,plain,
% 40.38/26.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24460,plain,
% 40.38/26.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24459, 24458])).
% 40.38/26.82 tff(24461,plain,
% 40.38/26.82 ((~v129(constB178, bitIndex0)) | (~v100(constB178))),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24460, 631, 24454])).
% 40.38/26.82 tff(24462,plain,
% 40.38/26.82 (~v100(constB178)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24461, 24453])).
% 40.38/26.82 tff(24463,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24464,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24465,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24464, 24463])).
% 40.38/26.82 tff(24466,plain,
% 40.38/26.82 (~v104(constB178)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24465, 355, 24448, 24287])).
% 40.38/26.82 tff(24467,plain,
% 40.38/26.82 (((~![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))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24468,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24469,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24468, 24467])).
% 40.38/26.82 tff(24470,plain,
% 40.38/26.82 (v102(constB178) | v104(constB178)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24469, 369, 24448])).
% 40.38/26.82 tff(24471,plain,
% 40.38/26.82 (v102(constB178)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24470, 24466])).
% 40.38/26.82 tff(24472,plain,
% 40.38/26.82 (v1(constB178) <=> v1(constB178)),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24473,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 40.38/26.82 tff(24474,plain,
% 40.38/26.82 (v1(constB178)),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24473, 24472])).
% 40.38/26.82 tff(24475,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24476,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24477,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24476, 24475])).
% 40.38/26.82 tff(24478,plain,
% 40.38/26.82 (v101(constB178) | (~v102(constB178))),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24477, 387, 24448, 24474])).
% 40.38/26.82 tff(24479,plain,
% 40.38/26.82 (v101(constB178)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24478, 24471])).
% 40.38/26.82 tff(24480,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24481,plain,
% 40.38/26.82 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24482,plain,
% 40.38/26.82 (((~![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))))),
% 40.38/26.82 inference(monotonicity,[status(thm)],[24481])).
% 40.38/26.82 tff(24483,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(transitivity,[status(thm)],[24482, 24480])).
% 40.38/26.82 tff(24484,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24485,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24484, 24483])).
% 40.38/26.82 tff(24486,plain,
% 40.38/26.82 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24485, 402, 24448])).
% 40.38/26.82 tff(24487,plain,
% 40.38/26.82 (v100(constB178) | (~v110(constB178))),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24486, 24479])).
% 40.38/26.82 tff(24488,plain,
% 40.38/26.82 (~v110(constB178)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24487, 24462])).
% 40.38/26.82 tff(24489,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24490,plain,
% 40.38/26.82 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24491,plain,
% 40.38/26.82 (((~![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))))),
% 40.38/26.82 inference(monotonicity,[status(thm)],[24490])).
% 40.38/26.82 tff(24492,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(transitivity,[status(thm)],[24491, 24489])).
% 40.38/26.82 tff(24493,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24494,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24493, 24492])).
% 40.38/26.82 tff(24495,plain,
% 40.38/26.82 (v110(constB178) | (~v108(constB177))),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24494, 337, 24448])).
% 40.38/26.82 tff(24496,plain,
% 40.38/26.82 (~v108(constB177)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24495, 24488])).
% 40.38/26.82 tff(24497,plain,
% 40.38/26.82 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24498,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24499,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24498, 24497])).
% 40.38/26.82 tff(24500,plain,
% 40.38/26.82 ($false),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24499, 320, 24496, 24439])).
% 40.38/26.82 tff(24501,plain,(v26(constB177) | v90(constB178, bitIndex0) | (~v113(constB177)) | (~v130(constB177, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 40.38/26.82 tff(24502,plain,
% 40.38/26.82 (v90(constB178, bitIndex0) | (~v113(constB177)) | (~v130(constB177, bitIndex0))),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24501, 24429])).
% 40.38/26.82 tff(24503,plain,
% 40.38/26.82 (v90(constB178, bitIndex0)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24502, 24425, 24413])).
% 40.38/26.82 tff(24504,plain,
% 40.38/26.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24505,plain,
% 40.38/26.82 (((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0))) <=> (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24506,plain,
% 40.38/26.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0))))),
% 40.38/26.82 inference(monotonicity,[status(thm)],[24505])).
% 40.38/26.82 tff(24507,plain,
% 40.38/26.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 40.38/26.82 inference(transitivity,[status(thm)],[24506, 24504])).
% 40.38/26.82 tff(24508,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24509,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24508, 24507])).
% 40.38/26.82 tff(24510,plain,
% 40.38/26.82 (v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0))),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24509, 207, 24448])).
% 40.38/26.82 tff(24511,plain,
% 40.38/26.82 (v100(constB178)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24510, 24503, 24311])).
% 40.38/26.82 tff(24512,plain,
% 40.38/26.82 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB177)) | v130(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB177)) | v130(constB177, bitIndex2))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24513,plain,
% 40.38/26.82 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB177)) | v130(constB177, bitIndex2))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24514,plain,
% 40.38/26.82 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB177)) | v130(constB177, bitIndex2)),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24513, 24512])).
% 40.38/26.82 tff(24515,plain,
% 40.38/26.82 (v130(constB177, bitIndex2)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24514, 2165, 24409])).
% 40.38/26.82 tff(24516,plain,
% 40.38/26.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24517,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24518,plain,
% 40.38/26.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2)),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24517, 24516])).
% 40.38/26.82 tff(24519,plain,
% 40.38/26.82 ((~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24518, 1821, 24429])).
% 40.38/26.82 tff(24520,plain,
% 40.38/26.82 (v127(constB177, bitIndex2)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24519, 24515])).
% 40.38/26.82 tff(24521,plain,
% 40.38/26.82 (((~![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))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24522,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24523,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2)),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24522, 24521])).
% 40.38/26.82 tff(24524,plain,
% 40.38/26.82 ((~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24523, 1836, 24448])).
% 40.38/26.82 tff(24525,plain,
% 40.38/26.82 (v129(constB178, bitIndex2)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24524, 24520])).
% 40.38/26.82 tff(24526,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24527,plain,
% 40.38/26.82 ((v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2))) <=> (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24528,plain,
% 40.38/26.82 (((~![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))))),
% 40.38/26.82 inference(monotonicity,[status(thm)],[24527])).
% 40.38/26.82 tff(24529,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(transitivity,[status(thm)],[24528, 24526])).
% 40.38/26.82 tff(24530,plain,
% 40.38/26.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24531,plain,
% 40.38/26.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24530, 24529])).
% 40.38/26.82 tff(24532,plain,
% 40.38/26.82 (v90(constB178, bitIndex2) | (~v100(constB178))),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24531, 2100, 24525])).
% 40.38/26.82 tff(24533,plain,
% 40.38/26.82 (v90(constB178, bitIndex2)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24532, 24511])).
% 40.38/26.82 tff(24534,plain,
% 40.38/26.82 ((~v1(constB179)) <=> (~v1(constB179))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24535,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 40.38/26.82 tff(24536,plain,
% 40.38/26.82 (~v1(constB179)),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24535, 24534])).
% 40.38/26.82 tff(24537,plain,
% 40.38/26.82 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24538,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 40.38/26.82 tff(24539,plain,
% 40.38/26.82 (nextState(constB178, constB179)),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24538, 24537])).
% 40.38/26.82 tff(24540,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24541,plain,
% 40.38/26.82 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24542,plain,
% 40.38/26.82 (((~![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))))),
% 40.38/26.82 inference(monotonicity,[status(thm)],[24541])).
% 40.38/26.82 tff(24543,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(transitivity,[status(thm)],[24542, 24540])).
% 40.38/26.82 tff(24544,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24545,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24544, 24543])).
% 40.38/26.82 tff(24546,plain,
% 40.38/26.82 (~v101(constB179)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24545, 133, 24539, 24536])).
% 40.38/26.82 tff(24547,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24548,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 40.38/26.82 inference(quant_inst,[status(thm)],[])).
% 40.38/26.82 tff(24549,plain,
% 40.38/26.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 40.38/26.82 inference(modus_ponens,[status(thm)],[24548, 24547])).
% 40.38/26.82 tff(24550,plain,
% 40.38/26.82 (v101(constB179) | (~v100(constB179))),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24549, 150, 24539])).
% 40.38/26.82 tff(24551,plain,
% 40.38/26.82 (~v100(constB179)),
% 40.38/26.82 inference(unit_resolution,[status(thm)],[24550, 24546])).
% 40.38/26.82 tff(24552,plain,
% 40.38/26.82 (((~![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))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24553,plain,
% 40.38/26.82 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2)) <=> ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 40.38/26.82 inference(rewrite,[status(thm)],[])).
% 40.38/26.82 tff(24554,plain,
% 40.38/26.82 (((~![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)))),
% 40.38/26.83 inference(monotonicity,[status(thm)],[24553])).
% 40.38/26.83 tff(24555,plain,
% 40.38/26.83 (((~![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))),
% 40.38/26.83 inference(transitivity,[status(thm)],[24554, 24552])).
% 40.38/26.83 tff(24556,plain,
% 40.38/26.83 ((~![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))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24557,plain,
% 40.38/26.83 ((~![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)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24556, 24555])).
% 40.38/26.83 tff(24558,plain,
% 40.38/26.83 ((~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24557, 2118, 24539])).
% 40.38/26.83 tff(24559,plain,
% 40.38/26.83 ((~v90(constB178, bitIndex2)) | v90(constB179, bitIndex2)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24558, 24551])).
% 40.38/26.83 tff(24560,plain,
% 40.38/26.83 (v90(constB179, bitIndex2)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24559, 24533])).
% 40.38/26.83 tff(24561,assumption,(v90(constB178, bitIndex0)), introduced(assumption)).
% 40.38/26.83 tff(24562,assumption,(v123(constB177)), introduced(assumption)).
% 40.38/26.83 tff(24563,plain,
% 40.38/26.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB177, bitIndex0)) | (~v123(constB177)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB177, bitIndex0)) | (~v123(constB177)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24564,plain,
% 40.38/26.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB177, bitIndex0)) | (~v123(constB177)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24565,plain,
% 40.38/26.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB177, bitIndex0)) | (~v123(constB177))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24564, 24563])).
% 40.38/26.83 tff(24566,plain,
% 40.38/26.83 (~v90(constB177, bitIndex0)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24565, 16407, 24562])).
% 40.38/26.83 tff(24567,plain,
% 40.38/26.83 (v100(constB178)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24510, 24566, 24561])).
% 40.38/26.83 tff(24568,plain,
% 40.38/26.83 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB177)) | (~v130(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB177)) | (~v130(constB177, bitIndex1)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24569,plain,
% 40.38/26.83 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB177)) | (~v130(constB177, bitIndex1)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24570,plain,
% 40.38/26.83 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB177)) | (~v130(constB177, bitIndex1))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24569, 24568])).
% 40.38/26.83 tff(24571,plain,
% 40.38/26.83 (~v130(constB177, bitIndex1)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24570, 1579, 24562])).
% 40.38/26.83 tff(24572,plain,
% 40.38/26.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24573,plain,
% 40.38/26.83 ((v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1))) <=> ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24574,plain,
% 40.38/26.83 (((~![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)))) | ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1)))),
% 40.38/26.83 inference(monotonicity,[status(thm)],[24573])).
% 40.38/26.83 tff(24575,plain,
% 40.38/26.83 (((~![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)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 40.38/26.83 inference(transitivity,[status(thm)],[24574, 24572])).
% 40.38/26.83 tff(24576,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24577,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24576, 24575])).
% 40.38/26.83 tff(24578,plain,
% 40.38/26.83 ((~v127(constB177, bitIndex1)) | v130(constB177, bitIndex1)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24577, 527, 24429])).
% 40.38/26.83 tff(24579,plain,
% 40.38/26.83 (~v127(constB177, bitIndex1)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24578, 24571])).
% 40.38/26.83 tff(24580,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24581,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24582,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24581, 24580])).
% 40.38/26.83 tff(24583,plain,
% 40.38/26.83 (v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1))),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24582, 545, 24448])).
% 40.38/26.83 tff(24584,plain,
% 40.38/26.83 (~v129(constB178, bitIndex1)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24583, 24579])).
% 40.38/26.83 tff(24585,assumption,(v90(constB178, bitIndex1)), introduced(assumption)).
% 40.38/26.83 tff(24586,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24587,plain,
% 40.38/26.83 (((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1)) <=> ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24588,plain,
% 40.38/26.83 (((~![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))))),
% 40.38/26.83 inference(monotonicity,[status(thm)],[24587])).
% 40.38/26.83 tff(24589,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(transitivity,[status(thm)],[24588, 24586])).
% 40.38/26.83 tff(24590,plain,
% 40.38/26.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24591,plain,
% 40.38/26.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24590, 24589])).
% 40.38/26.83 tff(24592,plain,
% 40.38/26.83 (v129(constB178, bitIndex1) | (~v100(constB178))),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24591, 560, 24585])).
% 40.38/26.83 tff(24593,plain,
% 40.38/26.83 ($false),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24592, 24584, 24567])).
% 40.38/26.83 tff(24594,plain,((~v123(constB177)) | (~v90(constB178, bitIndex1)) | (~v90(constB178, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 40.38/26.83 tff(24595,plain,
% 40.38/26.83 (~v90(constB178, bitIndex1)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24594, 24503, 24409])).
% 40.38/26.83 tff(24596,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24597,plain,
% 40.38/26.83 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1))) <=> (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24598,plain,
% 40.38/26.83 (((~![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))))),
% 40.38/26.83 inference(monotonicity,[status(thm)],[24597])).
% 40.38/26.83 tff(24599,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(transitivity,[status(thm)],[24598, 24596])).
% 40.38/26.83 tff(24600,plain,
% 40.38/26.83 ((~![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)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24601,plain,
% 40.38/26.83 ((~![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))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24600, 24599])).
% 40.38/26.83 tff(24602,plain,
% 40.38/26.83 (v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1))),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24601, 186, 24539])).
% 40.38/26.83 tff(24603,plain,
% 40.38/26.83 (v90(constB178, bitIndex1) | (~v90(constB179, bitIndex1))),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24602, 24551])).
% 40.38/26.83 tff(24604,plain,
% 40.38/26.83 (~v90(constB179, bitIndex1)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24603, 24595])).
% 40.38/26.83 tff(24605,plain,
% 40.38/26.83 (((~![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))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24606,plain,
% 40.38/26.83 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0)) <=> ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24607,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(monotonicity,[status(thm)],[24606])).
% 40.38/26.83 tff(24608,plain,
% 40.38/26.83 (((~![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))),
% 40.38/26.83 inference(transitivity,[status(thm)],[24607, 24605])).
% 40.38/26.83 tff(24609,plain,
% 40.38/26.83 ((~![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))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24610,plain,
% 40.38/26.83 ((~![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)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24609, 24608])).
% 40.38/26.83 tff(24611,plain,
% 40.38/26.83 ((~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24610, 649, 24539])).
% 40.38/26.83 tff(24612,plain,
% 40.38/26.83 ((~v90(constB178, bitIndex0)) | v90(constB179, bitIndex0)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24611, 24551])).
% 40.38/26.83 tff(24613,plain,
% 40.38/26.83 (v90(constB179, bitIndex0)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24612, 24503])).
% 40.38/26.83 tff(24614,plain,
% 40.38/26.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24615,plain,
% 40.38/26.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24616,plain,
% 40.38/26.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24615, 24614])).
% 40.38/26.83 tff(24617,plain,
% 40.38/26.83 (v124(constB179)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24616, 1264, 24613, 24604, 24560])).
% 40.38/26.83 tff(24618,plain,
% 40.38/26.83 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB179) | (~v124(constB179)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB179) | (~v124(constB179)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24619,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB179) | (~v124(constB179)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24620,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB179) | (~v124(constB179))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24619, 24618])).
% 40.38/26.83 tff(24621,plain,
% 40.38/26.83 (v114(constB179)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24620, 1236, 24617])).
% 40.38/26.83 tff(24622,plain,
% 40.38/26.83 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24623,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24624,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24623, 24622])).
% 40.38/26.83 tff(24625,plain,
% 40.38/26.83 (v113(constB179)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24624, 294, 24621])).
% 40.38/26.83 tff(24626,assumption,(v26(constB179)), introduced(assumption)).
% 40.38/26.83 tff(24627,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24628,plain,
% 40.38/26.83 ($false),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24627, 86, 24626])).
% 40.38/26.83 tff(24629,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 40.38/26.83 tff(24630,plain,
% 40.38/26.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24631,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24632,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | (~v113(constB179)) | v112(constB179)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24631, 24630])).
% 40.38/26.83 tff(24633,plain,
% 40.38/26.83 ((~v113(constB179)) | v112(constB179)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24632, 308, 24629])).
% 40.38/26.83 tff(24634,plain,
% 40.38/26.83 (v112(constB179)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24633, 24625])).
% 40.38/26.83 tff(24635,plain,
% 40.38/26.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24636,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24637,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24636, 24635])).
% 40.38/26.83 tff(24638,plain,
% 40.38/26.83 (v108(constB179)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24637, 320, 24634])).
% 40.38/26.83 tff(24639,plain,
% 40.38/26.83 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24640,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 40.38/26.83 tff(24641,plain,
% 40.38/26.83 (nextState(constB179, constB180)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24640, 24639])).
% 40.38/26.83 tff(24642,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24643,plain,
% 40.38/26.83 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24644,plain,
% 40.38/26.83 (((~![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))))),
% 40.38/26.83 inference(monotonicity,[status(thm)],[24643])).
% 40.38/26.83 tff(24645,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(transitivity,[status(thm)],[24644, 24642])).
% 40.38/26.83 tff(24646,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24647,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24646, 24645])).
% 40.38/26.83 tff(24648,plain,
% 40.38/26.83 (v110(constB180) | (~v108(constB179))),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24647, 337, 24641])).
% 40.38/26.83 tff(24649,plain,
% 40.38/26.83 (v110(constB180)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24648, 24638])).
% 40.38/26.83 tff(24650,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24651,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24652,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24651, 24650])).
% 40.38/26.83 tff(24653,plain,
% 40.38/26.83 (~v104(constB180)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24652, 355, 24641, 24536])).
% 40.38/26.83 tff(24654,plain,
% 40.38/26.83 (((~![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))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24655,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24656,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24655, 24654])).
% 40.38/26.83 tff(24657,plain,
% 40.38/26.83 (v102(constB180) | v104(constB180)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24656, 369, 24641])).
% 40.38/26.83 tff(24658,plain,
% 40.38/26.83 (v102(constB180)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24657, 24653])).
% 40.38/26.83 tff(24659,plain,
% 40.38/26.83 (v1(constB180) <=> v1(constB180)),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24660,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 40.38/26.83 tff(24661,plain,
% 40.38/26.83 (v1(constB180)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24660, 24659])).
% 40.38/26.83 tff(24662,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24663,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24664,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24663, 24662])).
% 40.38/26.83 tff(24665,plain,
% 40.38/26.83 (v101(constB180) | (~v102(constB180))),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24664, 387, 24641, 24661])).
% 40.38/26.83 tff(24666,plain,
% 40.38/26.83 (v101(constB180)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24665, 24658])).
% 40.38/26.83 tff(24667,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24668,plain,
% 40.38/26.83 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24669,plain,
% 40.38/26.83 (((~![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))))),
% 40.38/26.83 inference(monotonicity,[status(thm)],[24668])).
% 40.38/26.83 tff(24670,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(transitivity,[status(thm)],[24669, 24667])).
% 40.38/26.83 tff(24671,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24672,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24671, 24670])).
% 40.38/26.83 tff(24673,plain,
% 40.38/26.83 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24672, 402, 24641])).
% 40.38/26.83 tff(24674,plain,
% 40.38/26.83 (v100(constB180) | (~v110(constB180))),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24673, 24666])).
% 40.38/26.83 tff(24675,plain,
% 40.38/26.83 (v100(constB180)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24674, 24649])).
% 40.38/26.83 tff(24676,plain,
% 40.38/26.83 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB179)) | v130(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB179)) | v130(constB179, bitIndex2))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24677,plain,
% 40.38/26.83 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB179)) | v130(constB179, bitIndex2))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24678,plain,
% 40.38/26.83 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB179)) | v130(constB179, bitIndex2)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24677, 24676])).
% 40.38/26.83 tff(24679,plain,
% 40.38/26.83 (v130(constB179, bitIndex2)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24678, 2303, 24617])).
% 40.38/26.83 tff(24680,plain,
% 40.38/26.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24681,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24682,plain,
% 40.38/26.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24681, 24680])).
% 40.38/26.83 tff(24683,plain,
% 40.38/26.83 ((~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24682, 1821, 24629])).
% 40.38/26.83 tff(24684,plain,
% 40.38/26.83 (v127(constB179, bitIndex2)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24683, 24679])).
% 40.38/26.83 tff(24685,plain,
% 40.38/26.83 (((~![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))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24686,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24687,plain,
% 40.38/26.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2)),
% 40.38/26.83 inference(modus_ponens,[status(thm)],[24686, 24685])).
% 40.38/26.83 tff(24688,plain,
% 40.38/26.83 ((~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24687, 1836, 24641])).
% 40.38/26.83 tff(24689,plain,
% 40.38/26.83 (v129(constB180, bitIndex2)),
% 40.38/26.83 inference(unit_resolution,[status(thm)],[24688, 24684])).
% 40.38/26.83 tff(24690,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24691,plain,
% 40.38/26.83 ((v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2))) <=> (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 40.38/26.83 inference(rewrite,[status(thm)],[])).
% 40.38/26.83 tff(24692,plain,
% 40.38/26.83 (((~![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))))),
% 40.38/26.83 inference(monotonicity,[status(thm)],[24691])).
% 40.38/26.83 tff(24693,plain,
% 40.38/26.83 (((~![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)))),
% 40.38/26.83 inference(transitivity,[status(thm)],[24692, 24690])).
% 40.38/26.83 tff(24694,plain,
% 40.38/26.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))),
% 40.38/26.83 inference(quant_inst,[status(thm)],[])).
% 40.38/26.83 tff(24695,plain,
% 40.38/26.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24694, 24693])).
% 40.38/26.84 tff(24696,plain,
% 40.38/26.84 (v90(constB180, bitIndex2) | (~v100(constB180))),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24695, 2100, 24689])).
% 40.38/26.84 tff(24697,plain,
% 40.38/26.84 (v90(constB180, bitIndex2)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24696, 24675])).
% 40.38/26.84 tff(24698,plain,
% 40.38/26.84 ((~v1(constB181)) <=> (~v1(constB181))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24699,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 40.38/26.84 tff(24700,plain,
% 40.38/26.84 (~v1(constB181)),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24699, 24698])).
% 40.38/26.84 tff(24701,plain,
% 40.38/26.84 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24702,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 40.38/26.84 tff(24703,plain,
% 40.38/26.84 (nextState(constB180, constB181)),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24702, 24701])).
% 40.38/26.84 tff(24704,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24705,plain,
% 40.38/26.84 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24706,plain,
% 40.38/26.84 (((~![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))))),
% 40.38/26.84 inference(monotonicity,[status(thm)],[24705])).
% 40.38/26.84 tff(24707,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(transitivity,[status(thm)],[24706, 24704])).
% 40.38/26.84 tff(24708,plain,
% 40.38/26.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24709,plain,
% 40.38/26.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24708, 24707])).
% 40.38/26.84 tff(24710,plain,
% 40.38/26.84 (~v101(constB181)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24709, 133, 24703, 24700])).
% 40.38/26.84 tff(24711,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24712,plain,
% 40.38/26.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24713,plain,
% 40.38/26.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24712, 24711])).
% 40.38/26.84 tff(24714,plain,
% 40.38/26.84 (v101(constB181) | (~v100(constB181))),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24713, 150, 24703])).
% 40.38/26.84 tff(24715,plain,
% 40.38/26.84 (~v100(constB181)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24714, 24710])).
% 40.38/26.84 tff(24716,plain,
% 40.38/26.84 (((~![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))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24717,plain,
% 40.38/26.84 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2)) <=> ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24718,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(monotonicity,[status(thm)],[24717])).
% 40.38/26.84 tff(24719,plain,
% 40.38/26.84 (((~![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))),
% 40.38/26.84 inference(transitivity,[status(thm)],[24718, 24716])).
% 40.38/26.84 tff(24720,plain,
% 40.38/26.84 ((~![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))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24721,plain,
% 40.38/26.84 ((~![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)),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24720, 24719])).
% 40.38/26.84 tff(24722,plain,
% 40.38/26.84 ((~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24721, 2118, 24703])).
% 40.38/26.84 tff(24723,plain,
% 40.38/26.84 ((~v90(constB180, bitIndex2)) | v90(constB181, bitIndex2)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24722, 24715])).
% 40.38/26.84 tff(24724,plain,
% 40.38/26.84 (v90(constB181, bitIndex2)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24723, 24697])).
% 40.38/26.84 tff(24725,plain,
% 40.38/26.84 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB179)) | v130(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB179)) | v130(constB179, bitIndex1))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24726,plain,
% 40.38/26.84 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB179)) | v130(constB179, bitIndex1))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24727,plain,
% 40.38/26.84 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB179)) | v130(constB179, bitIndex1)),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24726, 24725])).
% 40.38/26.84 tff(24728,plain,
% 40.38/26.84 (v130(constB179, bitIndex1)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24727, 2347, 24617])).
% 40.38/26.84 tff(24729,plain,
% 40.38/26.84 (((~![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))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24730,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24731,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24730, 24729])).
% 40.38/26.84 tff(24732,plain,
% 40.38/26.84 ((~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24731, 882, 24629])).
% 40.38/26.84 tff(24733,plain,
% 40.38/26.84 (v127(constB179, bitIndex1)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24732, 24728])).
% 40.38/26.84 tff(24734,plain,
% 40.38/26.84 (((~![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))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24735,plain,
% 40.38/26.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24736,plain,
% 40.38/26.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24735, 24734])).
% 40.38/26.84 tff(24737,plain,
% 40.38/26.84 ((~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24736, 897, 24641])).
% 40.38/26.84 tff(24738,plain,
% 40.38/26.84 (v129(constB180, bitIndex1)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24737, 24733])).
% 40.38/26.84 tff(24739,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24740,plain,
% 40.38/26.84 ((v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1))) <=> (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24741,plain,
% 40.38/26.84 (((~![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))))),
% 40.38/26.84 inference(monotonicity,[status(thm)],[24740])).
% 40.38/26.84 tff(24742,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(transitivity,[status(thm)],[24741, 24739])).
% 40.38/26.84 tff(24743,plain,
% 40.38/26.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24744,plain,
% 40.38/26.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24743, 24742])).
% 40.38/26.84 tff(24745,plain,
% 40.38/26.84 (v90(constB180, bitIndex1) | (~v100(constB180))),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24744, 912, 24738])).
% 40.38/26.84 tff(24746,plain,
% 40.38/26.84 (v90(constB180, bitIndex1)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24745, 24675])).
% 40.38/26.84 tff(24747,plain,
% 40.38/26.84 (((~![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))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24748,plain,
% 40.38/26.84 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)) <=> ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24749,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(monotonicity,[status(thm)],[24748])).
% 40.38/26.84 tff(24750,plain,
% 40.38/26.84 (((~![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))),
% 40.38/26.84 inference(transitivity,[status(thm)],[24749, 24747])).
% 40.38/26.84 tff(24751,plain,
% 40.38/26.84 ((~![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))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24752,plain,
% 40.38/26.84 ((~![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)),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24751, 24750])).
% 40.38/26.84 tff(24753,plain,
% 40.38/26.84 ((~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24752, 1049, 24703])).
% 40.38/26.84 tff(24754,plain,
% 40.38/26.84 ((~v90(constB180, bitIndex1)) | v90(constB181, bitIndex1)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24753, 24715])).
% 40.38/26.84 tff(24755,plain,
% 40.38/26.84 (v90(constB181, bitIndex1)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24754, 24746])).
% 40.38/26.84 tff(24756,plain,
% 40.38/26.84 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB179)) | (~v130(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB179)) | (~v130(constB179, bitIndex0)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24757,plain,
% 40.38/26.84 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB179)) | (~v130(constB179, bitIndex0)))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24758,plain,
% 40.38/26.84 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB179)) | (~v130(constB179, bitIndex0))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24757, 24756])).
% 40.38/26.84 tff(24759,plain,
% 40.38/26.84 (~v130(constB179, bitIndex0)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24758, 1519, 24617])).
% 40.38/26.84 tff(24760,plain,
% 40.38/26.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24761,plain,
% 40.38/26.84 ((v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0))) <=> ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24762,plain,
% 40.38/26.84 (((~![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)))) | ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0)))),
% 40.38/26.84 inference(monotonicity,[status(thm)],[24761])).
% 40.38/26.84 tff(24763,plain,
% 40.38/26.84 (((~![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)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 40.38/26.84 inference(transitivity,[status(thm)],[24762, 24760])).
% 40.38/26.84 tff(24764,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24765,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0)),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24764, 24763])).
% 40.38/26.84 tff(24766,plain,
% 40.38/26.84 ((~v127(constB179, bitIndex0)) | v130(constB179, bitIndex0)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24765, 944, 24629])).
% 40.38/26.84 tff(24767,plain,
% 40.38/26.84 (~v127(constB179, bitIndex0)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24766, 24759])).
% 40.38/26.84 tff(24768,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24769,plain,
% 40.38/26.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24770,plain,
% 40.38/26.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24769, 24768])).
% 40.38/26.84 tff(24771,plain,
% 40.38/26.84 (v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0))),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24770, 962, 24641])).
% 40.38/26.84 tff(24772,plain,
% 40.38/26.84 (~v129(constB180, bitIndex0)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24771, 24767])).
% 40.38/26.84 tff(24773,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24774,plain,
% 40.38/26.84 (((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0)) <=> ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24775,plain,
% 40.38/26.84 (((~![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))))),
% 40.38/26.84 inference(monotonicity,[status(thm)],[24774])).
% 40.38/26.84 tff(24776,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(transitivity,[status(thm)],[24775, 24773])).
% 40.38/26.84 tff(24777,plain,
% 40.38/26.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24778,plain,
% 40.38/26.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24777, 24776])).
% 40.38/26.84 tff(24779,plain,
% 40.38/26.84 ((~v90(constB180, bitIndex0)) | (~v100(constB180))),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24778, 977, 24772])).
% 40.38/26.84 tff(24780,plain,
% 40.38/26.84 (~v90(constB180, bitIndex0)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24779, 24675])).
% 40.38/26.84 tff(24781,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24782,plain,
% 40.38/26.84 (((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0))) <=> (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24783,plain,
% 40.38/26.84 (((~![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))))),
% 40.38/26.84 inference(monotonicity,[status(thm)],[24782])).
% 40.38/26.84 tff(24784,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(transitivity,[status(thm)],[24783, 24781])).
% 40.38/26.84 tff(24785,plain,
% 40.38/26.84 ((~![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)))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24786,plain,
% 40.38/26.84 ((~![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))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24785, 24784])).
% 40.38/26.84 tff(24787,plain,
% 40.38/26.84 (v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0))),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24786, 207, 24703])).
% 40.38/26.84 tff(24788,plain,
% 40.38/26.84 (v90(constB180, bitIndex0) | (~v90(constB181, bitIndex0))),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24787, 24715])).
% 40.38/26.84 tff(24789,plain,
% 40.38/26.84 (~v90(constB181, bitIndex0)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24788, 24780])).
% 40.38/26.84 tff(24790,plain,
% 40.38/26.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24791,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24792,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181)),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24791, 24790])).
% 40.38/26.84 tff(24793,plain,
% 40.38/26.84 (v125(constB181)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24792, 1308, 24789, 24755, 24724])).
% 40.38/26.84 tff(24794,plain,
% 40.38/26.84 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB181) | (~v125(constB181)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB181) | (~v125(constB181)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24795,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB181) | (~v125(constB181)))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24796,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB181) | (~v125(constB181))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24795, 24794])).
% 40.38/26.84 tff(24797,plain,
% 40.38/26.84 (v113(constB181)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24796, 1294, 24793])).
% 40.38/26.84 tff(24798,assumption,(v26(constB181)), introduced(assumption)).
% 40.38/26.84 tff(24799,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24800,plain,
% 40.38/26.84 ($false),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24799, 86, 24798])).
% 40.38/26.84 tff(24801,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 40.38/26.84 tff(24802,plain,
% 40.38/26.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | v112(constB181) | (~v113(constB181)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24803,plain,
% 40.38/26.84 ((v26(constB181) | (~v113(constB181)) | v112(constB181)) <=> (v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24804,plain,
% 40.38/26.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | v112(constB181) | (~v113(constB181))))),
% 40.38/26.84 inference(monotonicity,[status(thm)],[24803])).
% 40.38/26.84 tff(24805,plain,
% 40.38/26.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 40.38/26.84 inference(transitivity,[status(thm)],[24804, 24802])).
% 40.38/26.84 tff(24806,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24807,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24806, 24805])).
% 40.38/26.84 tff(24808,plain,
% 40.38/26.84 (v112(constB181) | (~v113(constB181))),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24807, 308, 24801])).
% 40.38/26.84 tff(24809,plain,
% 40.38/26.84 (v112(constB181)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24808, 24797])).
% 40.38/26.84 tff(24810,plain,
% 40.38/26.84 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24811,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24812,plain,
% 40.38/26.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24811, 24810])).
% 40.38/26.84 tff(24813,plain,
% 40.38/26.84 (v108(constB181)),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24812, 320, 24809])).
% 40.38/26.84 tff(24814,plain,
% 40.38/26.84 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24815,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 40.38/26.84 tff(24816,plain,
% 40.38/26.84 (nextState(constB181, constB182)),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24815, 24814])).
% 40.38/26.84 tff(24817,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24818,plain,
% 40.38/26.84 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 40.38/26.84 inference(rewrite,[status(thm)],[])).
% 40.38/26.84 tff(24819,plain,
% 40.38/26.84 (((~![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))))),
% 40.38/26.84 inference(monotonicity,[status(thm)],[24818])).
% 40.38/26.84 tff(24820,plain,
% 40.38/26.84 (((~![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)))),
% 40.38/26.84 inference(transitivity,[status(thm)],[24819, 24817])).
% 40.38/26.84 tff(24821,plain,
% 40.38/26.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 40.38/26.84 inference(quant_inst,[status(thm)],[])).
% 40.38/26.84 tff(24822,plain,
% 40.38/26.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 40.38/26.84 inference(modus_ponens,[status(thm)],[24821, 24820])).
% 40.38/26.84 tff(24823,plain,
% 40.38/26.84 (v110(constB182) | (~v108(constB181))),
% 40.38/26.84 inference(unit_resolution,[status(thm)],[24822, 337, 24816])).
% 40.38/26.84 tff(24824,plain,
% 40.38/26.85 (v110(constB182)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24823, 24813])).
% 40.38/26.85 tff(24825,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24826,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24827,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24826, 24825])).
% 40.38/26.85 tff(24828,plain,
% 40.38/26.85 (~v104(constB182)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24827, 355, 24816, 24700])).
% 40.38/26.85 tff(24829,plain,
% 40.38/26.85 (((~![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))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24830,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24831,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24830, 24829])).
% 40.38/26.85 tff(24832,plain,
% 40.38/26.85 (v102(constB182) | v104(constB182)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24831, 369, 24816])).
% 40.38/26.85 tff(24833,plain,
% 40.38/26.85 (v102(constB182)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24832, 24828])).
% 40.38/26.85 tff(24834,plain,
% 40.38/26.85 (v1(constB182) <=> v1(constB182)),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24835,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 40.38/26.85 tff(24836,plain,
% 40.38/26.85 (v1(constB182)),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24835, 24834])).
% 40.38/26.85 tff(24837,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24838,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24839,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24838, 24837])).
% 40.38/26.85 tff(24840,plain,
% 40.38/26.85 (v101(constB182) | (~v102(constB182))),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24839, 387, 24816, 24836])).
% 40.38/26.85 tff(24841,plain,
% 40.38/26.85 (v101(constB182)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24840, 24833])).
% 40.38/26.85 tff(24842,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24843,plain,
% 40.38/26.85 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24844,plain,
% 40.38/26.85 (((~![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))))),
% 40.38/26.85 inference(monotonicity,[status(thm)],[24843])).
% 40.38/26.85 tff(24845,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(transitivity,[status(thm)],[24844, 24842])).
% 40.38/26.85 tff(24846,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24847,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24846, 24845])).
% 40.38/26.85 tff(24848,plain,
% 40.38/26.85 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24847, 402, 24816])).
% 40.38/26.85 tff(24849,plain,
% 40.38/26.85 (v100(constB182) | (~v110(constB182))),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24848, 24841])).
% 40.38/26.85 tff(24850,plain,
% 40.38/26.85 (v100(constB182)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24849, 24824])).
% 40.38/26.85 tff(24851,plain,
% 40.38/26.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v122(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v122(constB181)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24852,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v122(constB181)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24853,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v122(constB181))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24852, 24851])).
% 40.38/26.85 tff(24854,plain,
% 40.38/26.85 (~v122(constB181)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24853, 3526, 24724])).
% 40.38/26.85 tff(24855,plain,
% 40.38/26.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v121(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v121(constB181)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24856,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v121(constB181)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24857,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v121(constB181))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24856, 24855])).
% 40.38/26.85 tff(24858,plain,
% 40.38/26.85 (~v121(constB181)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24857, 2586, 24724])).
% 40.38/26.85 tff(24859,plain,
% 40.38/26.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v124(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v124(constB181)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24860,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v124(constB181)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24861,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v124(constB181))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24860, 24859])).
% 40.38/26.85 tff(24862,plain,
% 40.38/26.85 (~v124(constB181)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24861, 2637, 24755])).
% 40.38/26.85 tff(24863,plain,
% 40.38/26.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v123(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v123(constB181)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24864,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v123(constB181)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24865,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v123(constB181))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24864, 24863])).
% 40.38/26.85 tff(24866,plain,
% 40.38/26.85 (~v123(constB181)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24865, 2626, 24755])).
% 40.38/26.85 tff(24867,plain,
% 40.38/26.85 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB181)) | (~v90(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB181)) | (~v90(constB181, bitIndex1)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24868,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB181)) | (~v90(constB181, bitIndex1)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24869,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB181)) | (~v90(constB181, bitIndex1))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24868, 24867])).
% 40.38/26.85 tff(24870,plain,
% 40.38/26.85 (~v119(constB181)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24869, 2604, 24755])).
% 40.38/26.85 tff(24871,plain,
% 40.38/26.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v120(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v120(constB181)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24872,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v120(constB181)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24873,plain,
% 40.38/26.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v120(constB181))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24872, 24871])).
% 40.38/26.85 tff(24874,plain,
% 40.38/26.85 (~v120(constB181)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24873, 2615, 24755])).
% 40.38/26.85 tff(24875,plain,
% 40.38/26.85 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB181, bitIndex2)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB181, bitIndex2)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24876,plain,
% 40.38/26.85 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2))) <=> ((~v130(constB181, bitIndex2)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24877,plain,
% 40.38/26.85 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB181, bitIndex2)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181)))),
% 40.38/26.85 inference(monotonicity,[status(thm)],[24876])).
% 40.38/26.85 tff(24878,plain,
% 40.38/26.85 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB181, bitIndex2)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))),
% 40.38/26.85 inference(transitivity,[status(thm)],[24877, 24875])).
% 40.38/26.85 tff(24879,plain,
% 40.38/26.85 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24880,plain,
% 40.38/26.85 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB181, bitIndex2)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181)),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24879, 24878])).
% 40.38/26.85 tff(24881,plain,
% 40.38/26.85 (~v130(constB181, bitIndex2)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24880, 1993, 24874, 24870, 24866, 24862, 24858, 24854])).
% 40.38/26.85 tff(24882,plain,
% 40.38/26.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24883,plain,
% 40.38/26.85 ((v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2))) <=> ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24884,plain,
% 40.38/26.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2)))),
% 40.38/26.85 inference(monotonicity,[status(thm)],[24883])).
% 40.38/26.85 tff(24885,plain,
% 40.38/26.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 40.38/26.85 inference(transitivity,[status(thm)],[24884, 24882])).
% 40.38/26.85 tff(24886,plain,
% 40.38/26.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24887,plain,
% 40.38/26.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2)),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24886, 24885])).
% 40.38/26.85 tff(24888,plain,
% 40.38/26.85 ((~v127(constB181, bitIndex2)) | v130(constB181, bitIndex2)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24887, 435, 24801])).
% 40.38/26.85 tff(24889,plain,
% 40.38/26.85 (~v127(constB181, bitIndex2)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24888, 24881])).
% 40.38/26.85 tff(24890,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24891,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24892,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24891, 24890])).
% 40.38/26.85 tff(24893,plain,
% 40.38/26.85 (v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2))),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24892, 453, 24816])).
% 40.38/26.85 tff(24894,plain,
% 40.38/26.85 (~v129(constB182, bitIndex2)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24893, 24889])).
% 40.38/26.85 tff(24895,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24896,plain,
% 40.38/26.85 (((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2)) <=> ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24897,plain,
% 40.38/26.85 (((~![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))))),
% 40.38/26.85 inference(monotonicity,[status(thm)],[24896])).
% 40.38/26.85 tff(24898,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(transitivity,[status(thm)],[24897, 24895])).
% 40.38/26.85 tff(24899,plain,
% 40.38/26.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24900,plain,
% 40.38/26.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24899, 24898])).
% 40.38/26.85 tff(24901,plain,
% 40.38/26.85 ((~v90(constB182, bitIndex2)) | (~v100(constB182))),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24900, 468, 24894])).
% 40.38/26.85 tff(24902,plain,
% 40.38/26.85 (~v90(constB182, bitIndex2)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24901, 24850])).
% 40.38/26.85 tff(24903,plain,
% 40.38/26.85 ((~v1(constB183)) <=> (~v1(constB183))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24904,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 40.38/26.85 tff(24905,plain,
% 40.38/26.85 (~v1(constB183)),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 40.38/26.85 tff(24906,plain,
% 40.38/26.85 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24907,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 40.38/26.85 tff(24908,plain,
% 40.38/26.85 (nextState(constB182, constB183)),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24907, 24906])).
% 40.38/26.85 tff(24909,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24910,plain,
% 40.38/26.85 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24911,plain,
% 40.38/26.85 (((~![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))))),
% 40.38/26.85 inference(monotonicity,[status(thm)],[24910])).
% 40.38/26.85 tff(24912,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(transitivity,[status(thm)],[24911, 24909])).
% 40.38/26.85 tff(24913,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24914,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24913, 24912])).
% 40.38/26.85 tff(24915,plain,
% 40.38/26.85 (~v101(constB183)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24914, 133, 24908, 24905])).
% 40.38/26.85 tff(24916,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24917,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24918,plain,
% 40.38/26.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24917, 24916])).
% 40.38/26.85 tff(24919,plain,
% 40.38/26.85 (v101(constB183) | (~v100(constB183))),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24918, 150, 24908])).
% 40.38/26.85 tff(24920,plain,
% 40.38/26.85 (~v100(constB183)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24919, 24915])).
% 40.38/26.85 tff(24921,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24922,plain,
% 40.38/26.85 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2))) <=> (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24923,plain,
% 40.38/26.85 (((~![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))))),
% 40.38/26.85 inference(monotonicity,[status(thm)],[24922])).
% 40.38/26.85 tff(24924,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(transitivity,[status(thm)],[24923, 24921])).
% 40.38/26.85 tff(24925,plain,
% 40.38/26.85 ((~![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)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24926,plain,
% 40.38/26.85 ((~![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))),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24925, 24924])).
% 40.38/26.85 tff(24927,plain,
% 40.38/26.85 (v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2))),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24926, 165, 24908])).
% 40.38/26.85 tff(24928,plain,
% 40.38/26.85 (v90(constB182, bitIndex2) | (~v90(constB183, bitIndex2))),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24927, 24920])).
% 40.38/26.85 tff(24929,plain,
% 40.38/26.85 (~v90(constB183, bitIndex2)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24928, 24902])).
% 40.38/26.85 tff(24930,plain,
% 40.38/26.85 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB181, bitIndex1)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB181, bitIndex1)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24931,plain,
% 40.38/26.85 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1))) <=> ((~v130(constB181, bitIndex1)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24932,plain,
% 40.38/26.85 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB181, bitIndex1)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181)))),
% 40.38/26.85 inference(monotonicity,[status(thm)],[24931])).
% 40.38/26.85 tff(24933,plain,
% 40.38/26.85 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB181, bitIndex1)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))),
% 40.38/26.85 inference(transitivity,[status(thm)],[24932, 24930])).
% 40.38/26.85 tff(24934,plain,
% 40.38/26.85 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))),
% 40.38/26.85 inference(quant_inst,[status(thm)],[])).
% 40.38/26.85 tff(24935,plain,
% 40.38/26.85 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB181, bitIndex1)) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181)),
% 40.38/26.85 inference(modus_ponens,[status(thm)],[24934, 24933])).
% 40.38/26.85 tff(24936,plain,
% 40.38/26.85 (~v130(constB181, bitIndex1)),
% 40.38/26.85 inference(unit_resolution,[status(thm)],[24935, 1562, 24874, 24870, 24866, 24862, 24858, 24854])).
% 40.38/26.85 tff(24937,plain,
% 40.38/26.85 (((~![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))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24938,plain,
% 40.38/26.85 ((v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1))) <=> ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 40.38/26.85 inference(rewrite,[status(thm)],[])).
% 40.38/26.85 tff(24939,plain,
% 40.38/26.85 (((~![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)))),
% 40.38/26.85 inference(monotonicity,[status(thm)],[24938])).
% 40.38/26.85 tff(24940,plain,
% 40.38/26.85 (((~![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))),
% 40.38/26.85 inference(transitivity,[status(thm)],[24939, 24937])).
% 40.38/26.85 tff(24941,plain,
% 40.38/26.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(24942,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[24941, 24940])).
% 40.38/26.86 tff(24943,plain,
% 40.38/26.86 ((~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24942, 527, 24801])).
% 40.38/26.86 tff(24944,plain,
% 40.38/26.86 (~v127(constB181, bitIndex1)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24943, 24936])).
% 40.38/26.86 tff(24945,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24946,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(24947,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[24946, 24945])).
% 40.38/26.86 tff(24948,plain,
% 40.38/26.86 (v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24947, 545, 24816])).
% 40.38/26.86 tff(24949,plain,
% 40.38/26.86 (~v129(constB182, bitIndex1)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24948, 24944])).
% 40.38/26.86 tff(24950,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24951,plain,
% 40.38/26.86 (((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1)) <=> ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24952,plain,
% 40.38/26.86 (((~![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))))),
% 40.38/26.86 inference(monotonicity,[status(thm)],[24951])).
% 40.38/26.86 tff(24953,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(transitivity,[status(thm)],[24952, 24950])).
% 40.38/26.86 tff(24954,plain,
% 40.38/26.86 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(24955,plain,
% 40.38/26.86 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[24954, 24953])).
% 40.38/26.86 tff(24956,plain,
% 40.38/26.86 ((~v90(constB182, bitIndex1)) | (~v100(constB182))),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24955, 560, 24949])).
% 40.38/26.86 tff(24957,plain,
% 40.38/26.86 (~v90(constB182, bitIndex1)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24956, 24850])).
% 40.38/26.86 tff(24958,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24959,plain,
% 40.38/26.86 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))) <=> (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24960,plain,
% 40.38/26.86 (((~![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))))),
% 40.38/26.86 inference(monotonicity,[status(thm)],[24959])).
% 40.38/26.86 tff(24961,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(transitivity,[status(thm)],[24960, 24958])).
% 40.38/26.86 tff(24962,plain,
% 40.38/26.86 ((~![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)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(24963,plain,
% 40.38/26.86 ((~![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))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[24962, 24961])).
% 40.38/26.86 tff(24964,plain,
% 40.38/26.86 (v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24963, 186, 24908])).
% 40.38/26.86 tff(24965,plain,
% 40.38/26.86 (v90(constB182, bitIndex1) | (~v90(constB183, bitIndex1))),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24964, 24920])).
% 40.38/26.86 tff(24966,plain,
% 40.38/26.86 (~v90(constB183, bitIndex1)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24965, 24957])).
% 40.38/26.86 tff(24967,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB181, bitIndex0) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB181, bitIndex0) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24968,plain,
% 40.38/26.86 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0)) <=> (v130(constB181, bitIndex0) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24969,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB181, bitIndex0) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181)))),
% 40.38/26.86 inference(monotonicity,[status(thm)],[24968])).
% 40.38/26.86 tff(24970,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB181, bitIndex0) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181))),
% 40.38/26.86 inference(transitivity,[status(thm)],[24969, 24967])).
% 40.38/26.86 tff(24971,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(24972,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB181, bitIndex0) | v124(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v122(constB181) | v123(constB181)),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[24971, 24970])).
% 40.38/26.86 tff(24973,plain,
% 40.38/26.86 (v130(constB181, bitIndex0)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24972, 2753, 24874, 24870, 24866, 24862, 24858, 24854])).
% 40.38/26.86 tff(24974,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24975,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(24976,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[24975, 24974])).
% 40.38/26.86 tff(24977,plain,
% 40.38/26.86 ((~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24976, 601, 24801])).
% 40.38/26.86 tff(24978,plain,
% 40.38/26.86 (v127(constB181, bitIndex0)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24977, 24973])).
% 40.38/26.86 tff(24979,plain,
% 40.38/26.86 (((~![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))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24980,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(24981,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[24980, 24979])).
% 40.38/26.86 tff(24982,plain,
% 40.38/26.86 ((~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24981, 616, 24816])).
% 40.38/26.86 tff(24983,plain,
% 40.38/26.86 (v129(constB182, bitIndex0)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24982, 24978])).
% 40.38/26.86 tff(24984,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24985,plain,
% 40.38/26.86 ((v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0))) <=> (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24986,plain,
% 40.38/26.86 (((~![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))))),
% 40.38/26.86 inference(monotonicity,[status(thm)],[24985])).
% 40.38/26.86 tff(24987,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(transitivity,[status(thm)],[24986, 24984])).
% 40.38/26.86 tff(24988,plain,
% 40.38/26.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(24989,plain,
% 40.38/26.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[24988, 24987])).
% 40.38/26.86 tff(24990,plain,
% 40.38/26.86 (v90(constB182, bitIndex0) | (~v100(constB182))),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24989, 631, 24983])).
% 40.38/26.86 tff(24991,plain,
% 40.38/26.86 (v90(constB182, bitIndex0)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24990, 24850])).
% 40.38/26.86 tff(24992,plain,
% 40.38/26.86 (((~![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))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24993,plain,
% 40.38/26.86 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)) <=> ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(24994,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(monotonicity,[status(thm)],[24993])).
% 40.38/26.86 tff(24995,plain,
% 40.38/26.86 (((~![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))),
% 40.38/26.86 inference(transitivity,[status(thm)],[24994, 24992])).
% 40.38/26.86 tff(24996,plain,
% 40.38/26.86 ((~![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))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(24997,plain,
% 40.38/26.86 ((~![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)),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[24996, 24995])).
% 40.38/26.86 tff(24998,plain,
% 40.38/26.86 ((~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24997, 649, 24908])).
% 40.38/26.86 tff(24999,plain,
% 40.38/26.86 ((~v90(constB182, bitIndex0)) | v90(constB183, bitIndex0)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24998, 24920])).
% 40.38/26.86 tff(25000,plain,
% 40.38/26.86 (v90(constB183, bitIndex0)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[24999, 24991])).
% 40.38/26.86 tff(25001,plain,
% 40.38/26.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25002,plain,
% 40.38/26.86 (((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2)) <=> ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25003,plain,
% 40.38/26.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)))),
% 40.38/26.86 inference(monotonicity,[status(thm)],[25002])).
% 40.38/26.86 tff(25004,plain,
% 40.38/26.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 40.38/26.86 inference(transitivity,[status(thm)],[25003, 25001])).
% 40.38/26.86 tff(25005,plain,
% 40.38/26.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25006,plain,
% 40.38/26.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25005, 25004])).
% 40.38/26.86 tff(25007,plain,
% 40.38/26.86 (v120(constB183)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25006, 668, 25000, 24966, 24929])).
% 40.38/26.86 tff(25008,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB183) | (~v120(constB183)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB183) | (~v120(constB183)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25009,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB183) | (~v120(constB183)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25010,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB183) | (~v120(constB183))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25009, 25008])).
% 40.38/26.86 tff(25011,plain,
% 40.38/26.86 (v118(constB183)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25010, 778, 25007])).
% 40.38/26.86 tff(25012,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB183) | (~v118(constB183)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB183) | (~v118(constB183)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25013,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB183) | (~v118(constB183)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25014,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB183) | (~v118(constB183))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25013, 25012])).
% 40.38/26.86 tff(25015,plain,
% 40.38/26.86 (v117(constB183)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25014, 250, 25011])).
% 40.38/26.86 tff(25016,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB183) | (~v117(constB183)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB183) | (~v117(constB183)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25017,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB183) | (~v117(constB183)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25018,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB183) | (~v117(constB183))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25017, 25016])).
% 40.38/26.86 tff(25019,plain,
% 40.38/26.86 (v116(constB183)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25018, 261, 25015])).
% 40.38/26.86 tff(25020,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB183) | (~v116(constB183)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB183) | (~v116(constB183)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25021,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB183) | (~v116(constB183)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25022,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB183) | (~v116(constB183))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25021, 25020])).
% 40.38/26.86 tff(25023,plain,
% 40.38/26.86 (v115(constB183)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25022, 272, 25019])).
% 40.38/26.86 tff(25024,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25025,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25026,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25025, 25024])).
% 40.38/26.86 tff(25027,plain,
% 40.38/26.86 (v114(constB183)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25026, 283, 25023])).
% 40.38/26.86 tff(25028,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25029,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25030,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25029, 25028])).
% 40.38/26.86 tff(25031,plain,
% 40.38/26.86 (v113(constB183)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25030, 294, 25027])).
% 40.38/26.86 tff(25032,assumption,(v26(constB183)), introduced(assumption)).
% 40.38/26.86 tff(25033,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25034,plain,
% 40.38/26.86 ($false),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25033, 86, 25032])).
% 40.38/26.86 tff(25035,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 40.38/26.86 tff(25036,plain,
% 40.38/26.86 (((~![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))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25037,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25038,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183)),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25037, 25036])).
% 40.38/26.86 tff(25039,plain,
% 40.38/26.86 ((~v113(constB183)) | v112(constB183)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25038, 308, 25035])).
% 40.38/26.86 tff(25040,plain,
% 40.38/26.86 (v112(constB183)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25039, 25031])).
% 40.38/26.86 tff(25041,plain,
% 40.38/26.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25042,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25043,plain,
% 40.38/26.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25042, 25041])).
% 40.38/26.86 tff(25044,plain,
% 40.38/26.86 (v108(constB183)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25043, 320, 25040])).
% 40.38/26.86 tff(25045,plain,
% 40.38/26.86 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25046,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 40.38/26.86 tff(25047,plain,
% 40.38/26.86 (nextState(constB183, constB184)),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25046, 25045])).
% 40.38/26.86 tff(25048,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25049,plain,
% 40.38/26.86 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25050,plain,
% 40.38/26.86 (((~![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))))),
% 40.38/26.86 inference(monotonicity,[status(thm)],[25049])).
% 40.38/26.86 tff(25051,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(transitivity,[status(thm)],[25050, 25048])).
% 40.38/26.86 tff(25052,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25053,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25052, 25051])).
% 40.38/26.86 tff(25054,plain,
% 40.38/26.86 (v110(constB184) | (~v108(constB183))),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25053, 337, 25047])).
% 40.38/26.86 tff(25055,plain,
% 40.38/26.86 (v110(constB184)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25054, 25044])).
% 40.38/26.86 tff(25056,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25057,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25058,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25057, 25056])).
% 40.38/26.86 tff(25059,plain,
% 40.38/26.86 (~v104(constB184)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25058, 355, 25047, 24905])).
% 40.38/26.86 tff(25060,plain,
% 40.38/26.86 (((~![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))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25061,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25062,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25061, 25060])).
% 40.38/26.86 tff(25063,plain,
% 40.38/26.86 (v102(constB184) | v104(constB184)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25062, 369, 25047])).
% 40.38/26.86 tff(25064,plain,
% 40.38/26.86 (v102(constB184)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25063, 25059])).
% 40.38/26.86 tff(25065,plain,
% 40.38/26.86 (v1(constB184) <=> v1(constB184)),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25066,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 40.38/26.86 tff(25067,plain,
% 40.38/26.86 (v1(constB184)),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25066, 25065])).
% 40.38/26.86 tff(25068,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25069,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25070,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25069, 25068])).
% 40.38/26.86 tff(25071,plain,
% 40.38/26.86 (v101(constB184) | (~v102(constB184))),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25070, 387, 25047, 25067])).
% 40.38/26.86 tff(25072,plain,
% 40.38/26.86 (v101(constB184)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25071, 25064])).
% 40.38/26.86 tff(25073,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25074,plain,
% 40.38/26.86 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 40.38/26.86 inference(rewrite,[status(thm)],[])).
% 40.38/26.86 tff(25075,plain,
% 40.38/26.86 (((~![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))))),
% 40.38/26.86 inference(monotonicity,[status(thm)],[25074])).
% 40.38/26.86 tff(25076,plain,
% 40.38/26.86 (((~![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)))),
% 40.38/26.86 inference(transitivity,[status(thm)],[25075, 25073])).
% 40.38/26.86 tff(25077,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 40.38/26.86 inference(quant_inst,[status(thm)],[])).
% 40.38/26.86 tff(25078,plain,
% 40.38/26.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 40.38/26.86 inference(modus_ponens,[status(thm)],[25077, 25076])).
% 40.38/26.86 tff(25079,plain,
% 40.38/26.86 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25078, 402, 25047])).
% 40.38/26.86 tff(25080,plain,
% 40.38/26.86 (v100(constB184) | (~v110(constB184))),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25079, 25072])).
% 40.38/26.86 tff(25081,plain,
% 40.38/26.86 (v100(constB184)),
% 40.38/26.86 inference(unit_resolution,[status(thm)],[25080, 25055])).
% 40.38/26.86 tff(25082,plain,
% 40.38/26.86 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB183)) | (~v130(constB183, bitIndex2)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25083,plain,
% 40.38/26.87 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex2)))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25084,plain,
% 40.38/26.87 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB183)) | (~v130(constB183, bitIndex2))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25083, 25082])).
% 40.38/26.87 tff(25085,plain,
% 40.38/26.87 (~v130(constB183, bitIndex2)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25084, 685, 25007])).
% 40.38/26.87 tff(25086,plain,
% 40.38/26.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25087,plain,
% 40.38/26.87 ((v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2))) <=> ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25088,plain,
% 40.38/26.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2)))),
% 40.38/26.87 inference(monotonicity,[status(thm)],[25087])).
% 40.38/26.87 tff(25089,plain,
% 40.38/26.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 40.38/26.87 inference(transitivity,[status(thm)],[25088, 25086])).
% 40.38/26.87 tff(25090,plain,
% 40.38/26.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25091,plain,
% 40.38/26.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2)),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25090, 25089])).
% 40.38/26.87 tff(25092,plain,
% 40.38/26.87 ((~v127(constB183, bitIndex2)) | v130(constB183, bitIndex2)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25091, 435, 25035])).
% 40.38/26.87 tff(25093,plain,
% 40.38/26.87 (~v127(constB183, bitIndex2)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25092, 25085])).
% 40.38/26.87 tff(25094,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25095,plain,
% 40.38/26.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25096,plain,
% 40.38/26.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25095, 25094])).
% 40.38/26.87 tff(25097,plain,
% 40.38/26.87 (v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25096, 453, 25047])).
% 40.38/26.87 tff(25098,plain,
% 40.38/26.87 (~v129(constB184, bitIndex2)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25097, 25093])).
% 40.38/26.87 tff(25099,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25100,plain,
% 40.38/26.87 (((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25101,plain,
% 40.38/26.87 (((~![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))))),
% 40.38/26.87 inference(monotonicity,[status(thm)],[25100])).
% 40.38/26.87 tff(25102,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(transitivity,[status(thm)],[25101, 25099])).
% 40.38/26.87 tff(25103,plain,
% 40.38/26.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25104,plain,
% 40.38/26.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25103, 25102])).
% 40.38/26.87 tff(25105,plain,
% 40.38/26.87 ((~v90(constB184, bitIndex2)) | (~v100(constB184))),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25104, 468, 25098])).
% 40.38/26.87 tff(25106,plain,
% 40.38/26.87 (~v90(constB184, bitIndex2)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25105, 25081])).
% 40.38/26.87 tff(25107,plain,
% 40.38/26.87 ((~v1(constB185)) <=> (~v1(constB185))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25108,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 40.38/26.87 tff(25109,plain,
% 40.38/26.87 (~v1(constB185)),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25108, 25107])).
% 40.38/26.87 tff(25110,plain,
% 40.38/26.87 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25111,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 40.38/26.87 tff(25112,plain,
% 40.38/26.87 (nextState(constB184, constB185)),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25111, 25110])).
% 40.38/26.87 tff(25113,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25114,plain,
% 40.38/26.87 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25115,plain,
% 40.38/26.87 (((~![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))))),
% 40.38/26.87 inference(monotonicity,[status(thm)],[25114])).
% 40.38/26.87 tff(25116,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(transitivity,[status(thm)],[25115, 25113])).
% 40.38/26.87 tff(25117,plain,
% 40.38/26.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25118,plain,
% 40.38/26.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25117, 25116])).
% 40.38/26.87 tff(25119,plain,
% 40.38/26.87 (~v101(constB185)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25118, 133, 25112, 25109])).
% 40.38/26.87 tff(25120,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25121,plain,
% 40.38/26.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25122,plain,
% 40.38/26.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25121, 25120])).
% 40.38/26.87 tff(25123,plain,
% 40.38/26.87 (v101(constB185) | (~v100(constB185))),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25122, 150, 25112])).
% 40.38/26.87 tff(25124,plain,
% 40.38/26.87 (~v100(constB185)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25123, 25119])).
% 40.38/26.87 tff(25125,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25126,plain,
% 40.38/26.87 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25127,plain,
% 40.38/26.87 (((~![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))))),
% 40.38/26.87 inference(monotonicity,[status(thm)],[25126])).
% 40.38/26.87 tff(25128,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(transitivity,[status(thm)],[25127, 25125])).
% 40.38/26.87 tff(25129,plain,
% 40.38/26.87 ((~![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)))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25130,plain,
% 40.38/26.87 ((~![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))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25129, 25128])).
% 40.38/26.87 tff(25131,plain,
% 40.38/26.87 (v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25130, 165, 25112])).
% 40.38/26.87 tff(25132,plain,
% 40.38/26.87 (v90(constB184, bitIndex2) | (~v90(constB185, bitIndex2))),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25131, 25124])).
% 40.38/26.87 tff(25133,plain,
% 40.38/26.87 (~v90(constB185, bitIndex2)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25132, 25106])).
% 40.38/26.87 tff(25134,plain,
% 40.38/26.87 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25135,plain,
% 40.38/26.87 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25136,plain,
% 40.38/26.87 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1)),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25135, 25134])).
% 40.38/26.87 tff(25137,plain,
% 40.38/26.87 (v130(constB183, bitIndex1)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25136, 868, 25007])).
% 40.38/26.87 tff(25138,plain,
% 40.38/26.87 (((~![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))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25139,plain,
% 40.38/26.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25140,plain,
% 40.38/26.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25139, 25138])).
% 40.38/26.87 tff(25141,plain,
% 40.38/26.87 ((~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25140, 882, 25035])).
% 40.38/26.87 tff(25142,plain,
% 40.38/26.87 (v127(constB183, bitIndex1)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25141, 25137])).
% 40.38/26.87 tff(25143,plain,
% 40.38/26.87 (((~![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))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25144,plain,
% 40.38/26.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25145,plain,
% 40.38/26.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25144, 25143])).
% 40.38/26.87 tff(25146,plain,
% 40.38/26.87 ((~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25145, 897, 25047])).
% 40.38/26.87 tff(25147,plain,
% 40.38/26.87 (v129(constB184, bitIndex1)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25146, 25142])).
% 40.38/26.87 tff(25148,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25149,plain,
% 40.38/26.87 ((v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1))) <=> (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25150,plain,
% 40.38/26.87 (((~![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))))),
% 40.38/26.87 inference(monotonicity,[status(thm)],[25149])).
% 40.38/26.87 tff(25151,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(transitivity,[status(thm)],[25150, 25148])).
% 40.38/26.87 tff(25152,plain,
% 40.38/26.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25153,plain,
% 40.38/26.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25152, 25151])).
% 40.38/26.87 tff(25154,plain,
% 40.38/26.87 (v90(constB184, bitIndex1) | (~v100(constB184))),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25153, 912, 25147])).
% 40.38/26.87 tff(25155,plain,
% 40.38/26.87 (v90(constB184, bitIndex1)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25154, 25081])).
% 40.38/26.87 tff(25156,plain,
% 40.38/26.87 (((~![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))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25157,plain,
% 40.38/26.87 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)) <=> ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25158,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(monotonicity,[status(thm)],[25157])).
% 40.38/26.87 tff(25159,plain,
% 40.38/26.87 (((~![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))),
% 40.38/26.87 inference(transitivity,[status(thm)],[25158, 25156])).
% 40.38/26.87 tff(25160,plain,
% 40.38/26.87 ((~![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))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25161,plain,
% 40.38/26.87 ((~![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)),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25160, 25159])).
% 40.38/26.87 tff(25162,plain,
% 40.38/26.87 ((~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25161, 1049, 25112])).
% 40.38/26.87 tff(25163,plain,
% 40.38/26.87 ((~v90(constB184, bitIndex1)) | v90(constB185, bitIndex1)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25162, 25124])).
% 40.38/26.87 tff(25164,plain,
% 40.38/26.87 (v90(constB185, bitIndex1)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25163, 25155])).
% 40.38/26.87 tff(25165,plain,
% 40.38/26.87 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25166,plain,
% 40.38/26.87 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25167,plain,
% 40.38/26.87 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25166, 25165])).
% 40.38/26.87 tff(25168,plain,
% 40.38/26.87 (~v130(constB183, bitIndex0)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25167, 930, 25007])).
% 40.38/26.87 tff(25169,plain,
% 40.38/26.87 (((~![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))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25170,plain,
% 40.38/26.87 ((v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0))) <=> ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25171,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(monotonicity,[status(thm)],[25170])).
% 40.38/26.87 tff(25172,plain,
% 40.38/26.87 (((~![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))),
% 40.38/26.87 inference(transitivity,[status(thm)],[25171, 25169])).
% 40.38/26.87 tff(25173,plain,
% 40.38/26.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25174,plain,
% 40.38/26.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25173, 25172])).
% 40.38/26.87 tff(25175,plain,
% 40.38/26.87 ((~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25174, 944, 25035])).
% 40.38/26.87 tff(25176,plain,
% 40.38/26.87 (~v127(constB183, bitIndex0)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25175, 25168])).
% 40.38/26.87 tff(25177,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25178,plain,
% 40.38/26.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25179,plain,
% 40.38/26.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25178, 25177])).
% 40.38/26.87 tff(25180,plain,
% 40.38/26.87 (v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25179, 962, 25047])).
% 40.38/26.87 tff(25181,plain,
% 40.38/26.87 (~v129(constB184, bitIndex0)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25180, 25176])).
% 40.38/26.87 tff(25182,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25183,plain,
% 40.38/26.87 (((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25184,plain,
% 40.38/26.87 (((~![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))))),
% 40.38/26.87 inference(monotonicity,[status(thm)],[25183])).
% 40.38/26.87 tff(25185,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(transitivity,[status(thm)],[25184, 25182])).
% 40.38/26.87 tff(25186,plain,
% 40.38/26.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25187,plain,
% 40.38/26.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25186, 25185])).
% 40.38/26.87 tff(25188,plain,
% 40.38/26.87 ((~v90(constB184, bitIndex0)) | (~v100(constB184))),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25187, 977, 25181])).
% 40.38/26.87 tff(25189,plain,
% 40.38/26.87 (~v90(constB184, bitIndex0)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25188, 25081])).
% 40.38/26.87 tff(25190,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25191,plain,
% 40.38/26.87 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 40.38/26.87 inference(rewrite,[status(thm)],[])).
% 40.38/26.87 tff(25192,plain,
% 40.38/26.87 (((~![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))))),
% 40.38/26.87 inference(monotonicity,[status(thm)],[25191])).
% 40.38/26.87 tff(25193,plain,
% 40.38/26.87 (((~![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)))),
% 40.38/26.87 inference(transitivity,[status(thm)],[25192, 25190])).
% 40.38/26.87 tff(25194,plain,
% 40.38/26.87 ((~![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)))),
% 40.38/26.87 inference(quant_inst,[status(thm)],[])).
% 40.38/26.87 tff(25195,plain,
% 40.38/26.87 ((~![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))),
% 40.38/26.87 inference(modus_ponens,[status(thm)],[25194, 25193])).
% 40.38/26.87 tff(25196,plain,
% 40.38/26.87 (v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25195, 207, 25112])).
% 40.38/26.87 tff(25197,plain,
% 40.38/26.87 (v90(constB184, bitIndex0) | (~v90(constB185, bitIndex0))),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25196, 25124])).
% 40.38/26.87 tff(25198,plain,
% 40.38/26.87 (~v90(constB185, bitIndex0)),
% 40.38/26.87 inference(unit_resolution,[status(thm)],[25197, 25189])).
% 40.38/26.87 tff(25199,plain,
% 40.38/26.87 (((~![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))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25200,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25201,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25200, 25199])).
% 40.38/26.88 tff(25202,plain,
% 40.38/26.88 (v121(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25201, 996, 25198, 25164, 25133])).
% 40.38/26.88 tff(25203,plain,
% 40.38/26.88 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25204,plain,
% 40.38/26.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25205,plain,
% 40.38/26.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25204, 25203])).
% 40.38/26.88 tff(25206,plain,
% 40.38/26.88 (v130(constB185, bitIndex1)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25205, 1717, 25202])).
% 40.38/26.88 tff(25207,assumption,(v26(constB185)), introduced(assumption)).
% 40.38/26.88 tff(25208,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25209,plain,
% 40.38/26.88 ($false),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25208, 86, 25207])).
% 40.38/26.88 tff(25210,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 40.38/26.88 tff(25211,plain,
% 40.38/26.88 (((~![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))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25212,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25213,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25212, 25211])).
% 40.38/26.88 tff(25214,plain,
% 40.38/26.88 ((~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25213, 882, 25210])).
% 40.38/26.88 tff(25215,plain,
% 40.38/26.88 (v127(constB185, bitIndex1)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25214, 25206])).
% 40.38/26.88 tff(25216,plain,
% 40.38/26.88 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25217,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 40.38/26.88 tff(25218,plain,
% 40.38/26.88 (nextState(constB185, constB186)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25217, 25216])).
% 40.38/26.88 tff(25219,plain,
% 40.38/26.88 (((~![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))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25220,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25221,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25220, 25219])).
% 40.38/26.88 tff(25222,plain,
% 40.38/26.88 ((~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25221, 897, 25218])).
% 40.38/26.88 tff(25223,plain,
% 40.38/26.88 (v129(constB186, bitIndex1)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25222, 25215])).
% 40.38/26.88 tff(25224,assumption,(~v100(constB186)), introduced(assumption)).
% 40.38/26.88 tff(25225,plain,
% 40.38/26.88 (((~![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)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25226,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25227,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25226, 25225])).
% 40.38/26.88 tff(25228,plain,
% 40.38/26.88 (~v104(constB186)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25227, 355, 25218, 25109])).
% 40.38/26.88 tff(25229,plain,
% 40.38/26.88 (((~![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))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25230,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25231,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25230, 25229])).
% 40.38/26.88 tff(25232,plain,
% 40.38/26.88 (v102(constB186) | v104(constB186)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25231, 369, 25218])).
% 40.38/26.88 tff(25233,plain,
% 40.38/26.88 (v102(constB186)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25232, 25228])).
% 40.38/26.88 tff(25234,plain,
% 40.38/26.88 (((~![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)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25235,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25236,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25235, 25234])).
% 40.38/26.88 tff(25237,plain,
% 40.38/26.88 (v101(constB186) | (~v102(constB186))),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25236, 387, 25218, 21742])).
% 40.38/26.88 tff(25238,plain,
% 40.38/26.88 (v101(constB186)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25237, 25233])).
% 40.38/26.88 tff(25239,plain,
% 40.38/26.88 (((~![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)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25240,plain,
% 40.38/26.88 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25241,plain,
% 40.38/26.88 (((~![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))))),
% 40.38/26.88 inference(monotonicity,[status(thm)],[25240])).
% 40.38/26.88 tff(25242,plain,
% 40.38/26.88 (((~![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)))),
% 40.38/26.88 inference(transitivity,[status(thm)],[25241, 25239])).
% 40.38/26.88 tff(25243,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25244,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25243, 25242])).
% 40.38/26.88 tff(25245,plain,
% 40.38/26.88 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25244, 402, 25218])).
% 40.38/26.88 tff(25246,plain,
% 40.38/26.88 (v100(constB186) | (~v110(constB186))),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25245, 25238])).
% 40.38/26.88 tff(25247,plain,
% 40.38/26.88 (~v110(constB186)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25246, 25224])).
% 40.38/26.88 tff(25248,plain,
% 40.38/26.88 (((~![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)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25249,plain,
% 40.38/26.88 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25250,plain,
% 40.38/26.88 (((~![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))))),
% 40.38/26.88 inference(monotonicity,[status(thm)],[25249])).
% 40.38/26.88 tff(25251,plain,
% 40.38/26.88 (((~![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)))),
% 40.38/26.88 inference(transitivity,[status(thm)],[25250, 25248])).
% 40.38/26.88 tff(25252,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25253,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25252, 25251])).
% 40.38/26.88 tff(25254,plain,
% 40.38/26.88 (v110(constB186) | (~v108(constB185))),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25253, 337, 25218])).
% 40.38/26.88 tff(25255,plain,
% 40.38/26.88 (~v108(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25254, 25247])).
% 40.38/26.88 tff(25256,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25257,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25258,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25257, 25256])).
% 40.38/26.88 tff(25259,plain,
% 40.38/26.88 (~v112(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25258, 320, 25255])).
% 40.38/26.88 tff(25260,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | v112(constB185) | (~v113(constB185)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25261,plain,
% 40.38/26.88 ((v26(constB185) | (~v113(constB185)) | v112(constB185)) <=> (v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25262,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | v112(constB185) | (~v113(constB185))))),
% 40.38/26.88 inference(monotonicity,[status(thm)],[25261])).
% 40.38/26.88 tff(25263,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 40.38/26.88 inference(transitivity,[status(thm)],[25262, 25260])).
% 40.38/26.88 tff(25264,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25265,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25264, 25263])).
% 40.38/26.88 tff(25266,plain,
% 40.38/26.88 (v112(constB185) | (~v113(constB185))),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25265, 308, 25210])).
% 40.38/26.88 tff(25267,plain,
% 40.38/26.88 (~v113(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25266, 25259])).
% 40.38/26.88 tff(25268,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB185) | (~v114(constB185)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB185) | (~v114(constB185)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25269,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB185) | (~v114(constB185)))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25270,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB185) | (~v114(constB185))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25269, 25268])).
% 40.38/26.88 tff(25271,plain,
% 40.38/26.88 (~v114(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25270, 294, 25267])).
% 40.38/26.88 tff(25272,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB185) | (~v115(constB185)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB185) | (~v115(constB185)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25273,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB185) | (~v115(constB185)))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25274,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB185) | (~v115(constB185))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25273, 25272])).
% 40.38/26.88 tff(25275,plain,
% 40.38/26.88 (~v115(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25274, 283, 25271])).
% 40.38/26.88 tff(25276,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB185) | (~v116(constB185)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB185) | (~v116(constB185)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25277,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB185) | (~v116(constB185)))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25278,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB185) | (~v116(constB185))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25277, 25276])).
% 40.38/26.88 tff(25279,plain,
% 40.38/26.88 (~v116(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25278, 272, 25275])).
% 40.38/26.88 tff(25280,assumption,(~v90(constB185, bitIndex0)), introduced(assumption)).
% 40.38/26.88 tff(25281,plain,
% 40.38/26.88 (((~![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)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25282,plain,
% 40.38/26.88 (((~nextState(constB185, constB186)) | v90(constB185, bitIndex0) | v100(constB186) | (~v90(constB186, bitIndex0))) <=> (v90(constB185, bitIndex0) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex0)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25283,plain,
% 40.38/26.88 (((~![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))))),
% 40.38/26.88 inference(monotonicity,[status(thm)],[25282])).
% 40.38/26.88 tff(25284,plain,
% 40.38/26.88 (((~![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)))),
% 40.38/26.88 inference(transitivity,[status(thm)],[25283, 25281])).
% 40.38/26.88 tff(25285,plain,
% 40.38/26.88 ((~![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)))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25286,plain,
% 40.38/26.88 ((~![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))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25285, 25284])).
% 40.38/26.88 tff(25287,plain,
% 40.38/26.88 (v90(constB185, bitIndex0) | v100(constB186) | (~v90(constB186, bitIndex0))),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25286, 207, 25218])).
% 40.38/26.88 tff(25288,plain,
% 40.38/26.88 (~v90(constB186, bitIndex0)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25287, 25224, 25280])).
% 40.38/26.88 tff(25289,assumption,(~v90(constB186, bitIndex1)), introduced(assumption)).
% 40.38/26.88 tff(25290,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB185, bitIndex0) | (~v122(constB185)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB185, bitIndex0) | (~v122(constB185)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25291,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB185, bitIndex0) | (~v122(constB185)))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25292,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB185, bitIndex0) | (~v122(constB185))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25291, 25290])).
% 40.38/26.88 tff(25293,plain,
% 40.38/26.88 (~v122(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25292, 1968, 25280])).
% 40.38/26.88 tff(25294,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB185, bitIndex0) | (~v124(constB185)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB185, bitIndex0) | (~v124(constB185)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25295,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB185, bitIndex0) | (~v124(constB185)))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25296,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB185, bitIndex0) | (~v124(constB185))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25295, 25294])).
% 40.38/26.88 tff(25297,plain,
% 40.38/26.88 (~v124(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25296, 1979, 25280])).
% 40.38/26.88 tff(25298,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB185, bitIndex0) | (~v120(constB185)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB185, bitIndex0) | (~v120(constB185)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25299,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB185, bitIndex0) | (~v120(constB185)))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25300,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB185, bitIndex0) | (~v120(constB185))),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25299, 25298])).
% 40.38/26.88 tff(25301,plain,
% 40.38/26.88 (~v120(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25300, 1957, 25280])).
% 40.38/26.88 tff(25302,assumption,(~v130(constB185, bitIndex0)), introduced(assumption)).
% 40.38/26.88 tff(25303,plain,
% 40.38/26.88 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB185)) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB185)) | v130(constB185, bitIndex0))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25304,plain,
% 40.38/26.88 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB185)) | v130(constB185, bitIndex0))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25305,plain,
% 40.38/26.88 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB185)) | v130(constB185, bitIndex0)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25304, 25303])).
% 40.38/26.88 tff(25306,plain,
% 40.38/26.88 (~v119(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25305, 587, 25302])).
% 40.38/26.88 tff(25307,plain,
% 40.38/26.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB185)) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB185)) | v130(constB185, bitIndex0))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25308,plain,
% 40.38/26.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB185)) | v130(constB185, bitIndex0))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25309,plain,
% 40.38/26.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB185)) | v130(constB185, bitIndex0)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25308, 25307])).
% 40.38/26.88 tff(25310,plain,
% 40.38/26.88 (~v123(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25309, 2258, 25302])).
% 40.38/26.88 tff(25311,plain,
% 40.38/26.88 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25312,plain,
% 40.38/26.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25313,plain,
% 40.38/26.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25312, 25311])).
% 40.38/26.88 tff(25314,plain,
% 40.38/26.88 (~v121(constB185)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25313, 1758, 25302])).
% 40.38/26.88 tff(25315,assumption,(~v120(constB185)), introduced(assumption)).
% 40.38/26.88 tff(25316,assumption,(~v124(constB185)), introduced(assumption)).
% 40.38/26.88 tff(25317,assumption,(~v122(constB185)), introduced(assumption)).
% 40.38/26.88 tff(25318,plain,
% 40.38/26.88 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v130(constB185, bitIndex0))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25319,plain,
% 40.38/26.88 ((v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0)) <=> (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v130(constB185, bitIndex0))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25320,plain,
% 40.38/26.88 (((~![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))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v130(constB185, bitIndex0)))),
% 40.38/26.88 inference(monotonicity,[status(thm)],[25319])).
% 40.38/26.88 tff(25321,plain,
% 40.38/26.88 (((~![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))) | v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v130(constB185, bitIndex0))),
% 40.38/26.88 inference(transitivity,[status(thm)],[25320, 25318])).
% 40.38/26.88 tff(25322,plain,
% 40.38/26.88 ((~![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))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25323,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v130(constB185, bitIndex0)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25322, 25321])).
% 40.38/26.88 tff(25324,plain,
% 40.38/26.88 (v123(constB185) | v121(constB185) | v119(constB185) | v130(constB185, bitIndex0)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25323, 2753, 25317, 25316, 25315])).
% 40.38/26.88 tff(25325,plain,
% 40.38/26.88 ($false),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25324, 25314, 25310, 25302, 25306])).
% 40.38/26.88 tff(25326,plain,(v130(constB185, bitIndex0) | v122(constB185) | v124(constB185) | v120(constB185)), inference(lemma,lemma(discharge,[]))).
% 40.38/26.88 tff(25327,plain,
% 40.38/26.88 (v130(constB185, bitIndex0)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25326, 25301, 25297, 25293])).
% 40.38/26.88 tff(25328,plain,
% 40.38/26.88 (((~![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))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25329,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25330,plain,
% 40.38/26.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25329, 25328])).
% 40.38/26.88 tff(25331,plain,
% 40.38/26.88 ((~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25330, 601, 25210])).
% 40.38/26.88 tff(25332,plain,
% 40.38/26.88 (v127(constB185, bitIndex0)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25331, 25327])).
% 40.38/26.88 tff(25333,plain,
% 40.38/26.88 (((~![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))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25334,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 40.38/26.88 inference(quant_inst,[status(thm)],[])).
% 40.38/26.88 tff(25335,plain,
% 40.38/26.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 40.38/26.88 inference(modus_ponens,[status(thm)],[25334, 25333])).
% 40.38/26.88 tff(25336,plain,
% 40.38/26.88 ((~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25335, 616, 25218])).
% 40.38/26.88 tff(25337,plain,
% 40.38/26.88 (v129(constB186, bitIndex0)),
% 40.38/26.88 inference(unit_resolution,[status(thm)],[25336, 25332])).
% 40.38/26.88 tff(25338,assumption,(~v90(constB186, bitIndex0)), introduced(assumption)).
% 40.38/26.88 tff(25339,plain,
% 40.38/26.88 (((~![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)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25340,plain,
% 40.38/26.88 ((v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 40.38/26.88 inference(rewrite,[status(thm)],[])).
% 40.38/26.88 tff(25341,plain,
% 40.38/26.88 (((~![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))))),
% 40.38/26.89 inference(monotonicity,[status(thm)],[25340])).
% 40.38/26.89 tff(25342,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(transitivity,[status(thm)],[25341, 25339])).
% 40.38/26.89 tff(25343,plain,
% 40.38/26.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25344,plain,
% 40.38/26.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25343, 25342])).
% 40.38/26.89 tff(25345,plain,
% 40.38/26.89 ((~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25344, 631, 25338])).
% 40.38/26.89 tff(25346,plain,
% 40.38/26.89 (~v100(constB186)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25345, 25337])).
% 40.38/26.89 tff(25347,plain,
% 40.38/26.89 (((~![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))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25348,plain,
% 40.38/26.89 (((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex1)) | v100(constB186) | v90(constB186, bitIndex1)) <=> ((~v90(constB185, bitIndex1)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex1))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25349,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(monotonicity,[status(thm)],[25348])).
% 40.38/26.89 tff(25350,plain,
% 40.38/26.89 (((~![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))),
% 40.38/26.89 inference(transitivity,[status(thm)],[25349, 25347])).
% 40.38/26.89 tff(25351,plain,
% 40.38/26.89 ((~![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))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25352,plain,
% 40.38/26.89 ((~![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)),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25351, 25350])).
% 40.38/26.89 tff(25353,plain,
% 40.38/26.89 ((~v90(constB185, bitIndex1)) | v100(constB186) | v90(constB186, bitIndex1)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25352, 1049, 25218])).
% 40.38/26.89 tff(25354,plain,
% 40.38/26.89 (~v90(constB185, bitIndex1)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25353, 25346, 25289])).
% 40.38/26.89 tff(25355,assumption,(~v90(constB187, bitIndex2)), introduced(assumption)).
% 40.38/26.89 tff(25356,plain,
% 40.38/26.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB187, bitIndex2) | (~v123(constB187)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB187, bitIndex2) | (~v123(constB187)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25357,plain,
% 40.38/26.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB187, bitIndex2) | (~v123(constB187)))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25358,plain,
% 40.38/26.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB187, bitIndex2) | (~v123(constB187))),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25357, 25356])).
% 40.38/26.89 tff(25359,plain,
% 40.38/26.89 (~v123(constB187)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25358, 8564, 25355])).
% 40.38/26.89 tff(25360,assumption,(v122(constB185)), introduced(assumption)).
% 40.38/26.89 tff(25361,plain,
% 40.38/26.89 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB185) | (~v122(constB185)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB185) | (~v122(constB185)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25362,plain,
% 40.38/26.89 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB185) | (~v122(constB185)))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25363,plain,
% 40.38/26.89 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB185) | (~v122(constB185))),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25362, 25361])).
% 40.38/26.89 tff(25364,plain,
% 40.38/26.89 (v116(constB185)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25363, 1149, 25360])).
% 40.38/26.89 tff(25365,plain,
% 40.38/26.89 (v115(constB185)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25278, 272, 25364])).
% 40.38/26.89 tff(25366,plain,
% 40.38/26.89 (v114(constB185)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25274, 283, 25365])).
% 40.38/26.89 tff(25367,plain,
% 40.38/26.89 (v113(constB185)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25270, 294, 25366])).
% 40.38/26.89 tff(25368,plain,
% 40.38/26.89 (v112(constB185)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25266, 25367])).
% 40.38/26.89 tff(25369,plain,
% 40.38/26.89 (v108(constB185)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25258, 320, 25368])).
% 40.38/26.89 tff(25370,plain,
% 40.38/26.89 (v110(constB186)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25254, 25369])).
% 40.38/26.89 tff(25371,plain,
% 40.38/26.89 (v100(constB186)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25246, 25370])).
% 40.38/26.89 tff(25372,plain,
% 40.38/26.89 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB185)) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB185)) | v130(constB185, bitIndex2))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25373,plain,
% 40.38/26.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB185)) | v130(constB185, bitIndex2))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25374,plain,
% 40.38/26.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB185)) | v130(constB185, bitIndex2)),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25373, 25372])).
% 40.38/26.89 tff(25375,plain,
% 40.38/26.89 (v130(constB185, bitIndex2)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25374, 1803, 25360])).
% 40.38/26.89 tff(25376,plain,
% 40.38/26.89 (((~![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))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25377,plain,
% 40.38/26.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB185) | (~v130(constB185, bitIndex2)) | v127(constB185, bitIndex2))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25378,plain,
% 40.38/26.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB185) | (~v130(constB185, bitIndex2)) | v127(constB185, bitIndex2)),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25377, 25376])).
% 40.38/26.89 tff(25379,plain,
% 40.38/26.89 ((~v130(constB185, bitIndex2)) | v127(constB185, bitIndex2)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25378, 1821, 25210])).
% 40.38/26.89 tff(25380,plain,
% 40.38/26.89 (v127(constB185, bitIndex2)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25379, 25375])).
% 40.38/26.89 tff(25381,plain,
% 40.38/26.89 (((~![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))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25382,plain,
% 40.38/26.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex2)) | v129(constB186, bitIndex2))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25383,plain,
% 40.38/26.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex2)) | v129(constB186, bitIndex2)),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25382, 25381])).
% 40.38/26.89 tff(25384,plain,
% 40.38/26.89 ((~v127(constB185, bitIndex2)) | v129(constB186, bitIndex2)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25383, 1836, 25218])).
% 40.38/26.89 tff(25385,plain,
% 40.38/26.89 (v129(constB186, bitIndex2)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25384, 25380])).
% 40.38/26.89 tff(25386,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25387,plain,
% 40.38/26.89 ((v90(constB186, bitIndex2) | (~v100(constB186)) | (~v129(constB186, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~v129(constB186, bitIndex2)) | (~v100(constB186)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25388,plain,
% 40.38/26.89 (((~![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))))),
% 40.38/26.89 inference(monotonicity,[status(thm)],[25387])).
% 40.38/26.89 tff(25389,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(transitivity,[status(thm)],[25388, 25386])).
% 40.38/26.89 tff(25390,plain,
% 40.38/26.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~v100(constB186)) | (~v129(constB186, bitIndex2)))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25391,plain,
% 40.38/26.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~v129(constB186, bitIndex2)) | (~v100(constB186))),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25390, 25389])).
% 40.38/26.89 tff(25392,plain,
% 40.38/26.89 (v90(constB186, bitIndex2) | (~v100(constB186))),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25391, 2100, 25385])).
% 40.38/26.89 tff(25393,plain,
% 40.38/26.89 (v90(constB186, bitIndex2)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25392, 25371])).
% 40.38/26.89 tff(25394,plain,
% 40.38/26.89 ((~v1(constB187)) <=> (~v1(constB187))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25395,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 40.38/26.89 tff(25396,plain,
% 40.38/26.89 (~v1(constB187)),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25395, 25394])).
% 40.38/26.89 tff(25397,plain,
% 40.38/26.89 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25398,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 40.38/26.89 tff(25399,plain,
% 40.38/26.89 (nextState(constB186, constB187)),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25398, 25397])).
% 40.38/26.89 tff(25400,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25401,plain,
% 40.38/26.89 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25402,plain,
% 40.38/26.89 (((~![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))))),
% 40.38/26.89 inference(monotonicity,[status(thm)],[25401])).
% 40.38/26.89 tff(25403,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(transitivity,[status(thm)],[25402, 25400])).
% 40.38/26.89 tff(25404,plain,
% 40.38/26.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25405,plain,
% 40.38/26.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25404, 25403])).
% 40.38/26.89 tff(25406,plain,
% 40.38/26.89 (~v101(constB187)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25405, 133, 25399, 25396])).
% 40.38/26.89 tff(25407,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25408,plain,
% 40.38/26.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25409,plain,
% 40.38/26.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25408, 25407])).
% 40.38/26.89 tff(25410,plain,
% 40.38/26.89 (v101(constB187) | (~v100(constB187))),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25409, 150, 25399])).
% 40.38/26.89 tff(25411,plain,
% 40.38/26.89 (~v100(constB187)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25410, 25406])).
% 40.38/26.89 tff(25412,plain,
% 40.38/26.89 (((~![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))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25413,plain,
% 40.38/26.89 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex2)) | v100(constB187) | v90(constB187, bitIndex2)) <=> ((~v90(constB186, bitIndex2)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex2))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25414,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(monotonicity,[status(thm)],[25413])).
% 40.38/26.89 tff(25415,plain,
% 40.38/26.89 (((~![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))),
% 40.38/26.89 inference(transitivity,[status(thm)],[25414, 25412])).
% 40.38/26.89 tff(25416,plain,
% 40.38/26.89 ((~![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))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25417,plain,
% 40.38/26.89 ((~![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)),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25416, 25415])).
% 40.38/26.89 tff(25418,plain,
% 40.38/26.89 ((~v90(constB186, bitIndex2)) | v100(constB187) | v90(constB187, bitIndex2)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25417, 2118, 25399])).
% 40.38/26.89 tff(25419,plain,
% 40.38/26.89 ((~v90(constB186, bitIndex2)) | v90(constB187, bitIndex2)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25418, 25411])).
% 40.38/26.89 tff(25420,plain,
% 40.38/26.89 (v90(constB187, bitIndex2)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25419, 25393])).
% 40.38/26.89 tff(25421,plain,
% 40.38/26.89 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB185)) | (~v130(constB185, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB185)) | (~v130(constB185, bitIndex0)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25422,plain,
% 40.38/26.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB185)) | (~v130(constB185, bitIndex0)))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25423,plain,
% 40.38/26.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB185)) | (~v130(constB185, bitIndex0))),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25422, 25421])).
% 40.38/26.89 tff(25424,plain,
% 40.38/26.89 (~v130(constB185, bitIndex0)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25423, 1486, 25360])).
% 40.38/26.89 tff(25425,plain,
% 40.38/26.89 (((~![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))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25426,plain,
% 40.38/26.89 ((v26(constB185) | v130(constB185, bitIndex0) | (~v127(constB185, bitIndex0))) <=> ((~v127(constB185, bitIndex0)) | v26(constB185) | v130(constB185, bitIndex0))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25427,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(monotonicity,[status(thm)],[25426])).
% 40.38/26.89 tff(25428,plain,
% 40.38/26.89 (((~![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))),
% 40.38/26.89 inference(transitivity,[status(thm)],[25427, 25425])).
% 40.38/26.89 tff(25429,plain,
% 40.38/26.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB185) | v130(constB185, bitIndex0) | (~v127(constB185, bitIndex0)))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25430,plain,
% 40.38/26.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB185, bitIndex0)) | v26(constB185) | v130(constB185, bitIndex0)),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25429, 25428])).
% 40.38/26.89 tff(25431,plain,
% 40.38/26.89 ((~v127(constB185, bitIndex0)) | v130(constB185, bitIndex0)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25430, 944, 25210])).
% 40.38/26.89 tff(25432,plain,
% 40.38/26.89 (~v127(constB185, bitIndex0)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25431, 25424])).
% 40.38/26.89 tff(25433,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25434,plain,
% 40.38/26.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex0) | (~v129(constB186, bitIndex0)))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25435,plain,
% 40.38/26.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex0) | (~v129(constB186, bitIndex0))),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25434, 25433])).
% 40.38/26.89 tff(25436,plain,
% 40.38/26.89 (v127(constB185, bitIndex0) | (~v129(constB186, bitIndex0))),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25435, 962, 25218])).
% 40.38/26.89 tff(25437,plain,
% 40.38/26.89 (~v129(constB186, bitIndex0)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25436, 25432])).
% 40.38/26.89 tff(25438,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25439,plain,
% 40.38/26.89 (((~v90(constB186, bitIndex0)) | (~v100(constB186)) | v129(constB186, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | v129(constB186, bitIndex0) | (~v100(constB186)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25440,plain,
% 40.38/26.89 (((~![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))))),
% 40.38/26.89 inference(monotonicity,[status(thm)],[25439])).
% 40.38/26.89 tff(25441,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(transitivity,[status(thm)],[25440, 25438])).
% 40.38/26.89 tff(25442,plain,
% 40.38/26.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~v100(constB186)) | v129(constB186, bitIndex0))),
% 40.38/26.89 inference(quant_inst,[status(thm)],[])).
% 40.38/26.89 tff(25443,plain,
% 40.38/26.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | v129(constB186, bitIndex0) | (~v100(constB186))),
% 40.38/26.89 inference(modus_ponens,[status(thm)],[25442, 25441])).
% 40.38/26.89 tff(25444,plain,
% 40.38/26.89 ((~v90(constB186, bitIndex0)) | (~v100(constB186))),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25443, 977, 25437])).
% 40.38/26.89 tff(25445,plain,
% 40.38/26.89 (~v90(constB186, bitIndex0)),
% 40.38/26.89 inference(unit_resolution,[status(thm)],[25444, 25371])).
% 40.38/26.89 tff(25446,plain,
% 40.38/26.89 (((~![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)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25447,plain,
% 40.38/26.89 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex0) | v100(constB187) | (~v90(constB187, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex0)))),
% 40.38/26.89 inference(rewrite,[status(thm)],[])).
% 40.38/26.89 tff(25448,plain,
% 40.38/26.89 (((~![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))))),
% 40.46/26.89 inference(monotonicity,[status(thm)],[25447])).
% 40.46/26.89 tff(25449,plain,
% 40.46/26.89 (((~![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)))),
% 40.46/26.89 inference(transitivity,[status(thm)],[25448, 25446])).
% 40.46/26.89 tff(25450,plain,
% 40.46/26.89 ((~![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)))),
% 40.46/26.89 inference(quant_inst,[status(thm)],[])).
% 40.46/26.89 tff(25451,plain,
% 40.46/26.89 ((~![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))),
% 40.46/26.89 inference(modus_ponens,[status(thm)],[25450, 25449])).
% 40.46/26.89 tff(25452,plain,
% 40.46/26.89 (v90(constB186, bitIndex0) | v100(constB187) | (~v90(constB187, bitIndex0))),
% 40.46/26.89 inference(unit_resolution,[status(thm)],[25451, 207, 25399])).
% 40.46/26.89 tff(25453,plain,
% 40.46/26.89 (v90(constB186, bitIndex0) | (~v90(constB187, bitIndex0))),
% 40.46/26.89 inference(unit_resolution,[status(thm)],[25452, 25411])).
% 40.46/26.89 tff(25454,plain,
% 40.46/26.89 (~v90(constB187, bitIndex0)),
% 40.46/26.89 inference(unit_resolution,[status(thm)],[25453, 25445])).
% 40.46/26.89 tff(25455,plain,
% 40.46/26.89 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB185)) | (~v130(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB185)) | (~v130(constB185, bitIndex1)))),
% 40.46/26.89 inference(rewrite,[status(thm)],[])).
% 40.46/26.89 tff(25456,plain,
% 40.46/26.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB185)) | (~v130(constB185, bitIndex1)))),
% 40.46/26.89 inference(quant_inst,[status(thm)],[])).
% 40.46/26.89 tff(25457,plain,
% 40.46/26.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB185)) | (~v130(constB185, bitIndex1))),
% 40.46/26.89 inference(modus_ponens,[status(thm)],[25456, 25455])).
% 40.46/26.89 tff(25458,plain,
% 40.46/26.89 (~v130(constB185, bitIndex1)),
% 40.46/26.89 inference(unit_resolution,[status(thm)],[25457, 2137, 25360])).
% 40.46/26.89 tff(25459,plain,
% 40.46/26.89 (((~![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))),
% 40.46/26.89 inference(rewrite,[status(thm)],[])).
% 40.46/26.89 tff(25460,plain,
% 40.46/26.89 ((v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1))) <=> ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 40.46/26.89 inference(rewrite,[status(thm)],[])).
% 40.46/26.89 tff(25461,plain,
% 40.46/26.89 (((~![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)))),
% 40.46/26.89 inference(monotonicity,[status(thm)],[25460])).
% 40.46/26.89 tff(25462,plain,
% 40.46/26.89 (((~![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))),
% 40.46/26.89 inference(transitivity,[status(thm)],[25461, 25459])).
% 40.46/26.89 tff(25463,plain,
% 40.46/26.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))),
% 40.46/26.89 inference(quant_inst,[status(thm)],[])).
% 40.46/26.89 tff(25464,plain,
% 40.46/26.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1)),
% 40.46/26.89 inference(modus_ponens,[status(thm)],[25463, 25462])).
% 40.46/26.89 tff(25465,plain,
% 40.46/26.89 ((~v127(constB185, bitIndex1)) | v130(constB185, bitIndex1)),
% 40.46/26.89 inference(unit_resolution,[status(thm)],[25464, 527, 25210])).
% 40.46/26.89 tff(25466,plain,
% 40.46/26.89 (~v127(constB185, bitIndex1)),
% 40.46/26.89 inference(unit_resolution,[status(thm)],[25465, 25458])).
% 40.46/26.89 tff(25467,plain,
% 40.46/26.89 (((~![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)))),
% 40.46/26.89 inference(rewrite,[status(thm)],[])).
% 40.46/26.89 tff(25468,plain,
% 40.46/26.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))),
% 40.46/26.89 inference(quant_inst,[status(thm)],[])).
% 40.46/26.89 tff(25469,plain,
% 40.46/26.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1))),
% 40.46/26.89 inference(modus_ponens,[status(thm)],[25468, 25467])).
% 40.46/26.89 tff(25470,plain,
% 40.46/26.89 (v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1))),
% 40.46/26.89 inference(unit_resolution,[status(thm)],[25469, 545, 25218])).
% 40.46/26.89 tff(25471,plain,
% 40.46/26.89 (~v129(constB186, bitIndex1)),
% 40.46/26.89 inference(unit_resolution,[status(thm)],[25470, 25466])).
% 40.46/26.89 tff(25472,plain,
% 40.46/26.89 (((~![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)))),
% 40.46/26.89 inference(rewrite,[status(thm)],[])).
% 40.46/26.89 tff(25473,plain,
% 40.46/26.89 (((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 40.46/26.89 inference(rewrite,[status(thm)],[])).
% 40.46/26.89 tff(25474,plain,
% 40.46/26.89 (((~![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))))),
% 40.46/26.89 inference(monotonicity,[status(thm)],[25473])).
% 40.46/26.89 tff(25475,plain,
% 40.46/26.89 (((~![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)))),
% 40.46/26.89 inference(transitivity,[status(thm)],[25474, 25472])).
% 40.46/26.89 tff(25476,plain,
% 40.46/26.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))),
% 40.46/26.89 inference(quant_inst,[status(thm)],[])).
% 40.46/26.89 tff(25477,plain,
% 40.46/26.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186))),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25476, 25475])).
% 40.46/26.90 tff(25478,plain,
% 40.46/26.90 ((~v90(constB186, bitIndex1)) | (~v100(constB186))),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25477, 560, 25471])).
% 40.46/26.90 tff(25479,plain,
% 40.46/26.90 (~v90(constB186, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25478, 25371])).
% 40.46/26.90 tff(25480,plain,
% 40.46/26.90 (((~![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)))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25481,plain,
% 40.46/26.90 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25482,plain,
% 40.46/26.90 (((~![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))))),
% 40.46/26.90 inference(monotonicity,[status(thm)],[25481])).
% 40.46/26.90 tff(25483,plain,
% 40.46/26.90 (((~![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)))),
% 40.46/26.90 inference(transitivity,[status(thm)],[25482, 25480])).
% 40.46/26.90 tff(25484,plain,
% 40.46/26.90 ((~![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)))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25485,plain,
% 40.46/26.90 ((~![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))),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25484, 25483])).
% 40.46/26.90 tff(25486,plain,
% 40.46/26.90 (v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1))),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25485, 186, 25399])).
% 40.46/26.90 tff(25487,plain,
% 40.46/26.90 (v90(constB186, bitIndex1) | (~v90(constB187, bitIndex1))),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25486, 25411])).
% 40.46/26.90 tff(25488,plain,
% 40.46/26.90 (~v90(constB187, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25487, 25479])).
% 40.46/26.90 tff(25489,assumption,(~v123(constB187)), introduced(assumption)).
% 40.46/26.90 tff(25490,plain,
% 40.46/26.90 (((~![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))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25491,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex2)) | v123(constB187))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25492,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex2)) | v123(constB187)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25491, 25490])).
% 40.46/26.90 tff(25493,plain,
% 40.46/26.90 (v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex2))),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25492, 1280, 25489])).
% 40.46/26.90 tff(25494,plain,
% 40.46/26.90 ($false),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25493, 25488, 25454, 25420])).
% 40.46/26.90 tff(25495,plain,((~v122(constB185)) | v123(constB187)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.90 tff(25496,plain,
% 40.46/26.90 (~v122(constB185)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25495, 25359])).
% 40.46/26.90 tff(25497,plain,
% 40.46/26.90 (~v90(constB186, bitIndex2)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25419, 25355])).
% 40.46/26.90 tff(25498,assumption,(~v90(constB184, bitIndex0)), introduced(assumption)).
% 40.46/26.90 tff(25499,assumption,(~v100(constB184)), introduced(assumption)).
% 40.46/26.90 tff(25500,plain,
% 40.46/26.90 (~v110(constB184)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25080, 25499])).
% 40.46/26.90 tff(25501,plain,
% 40.46/26.90 (~v108(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25054, 25500])).
% 40.46/26.90 tff(25502,plain,
% 40.46/26.90 (~v112(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25043, 320, 25501])).
% 40.46/26.90 tff(25503,plain,
% 40.46/26.90 (~v113(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25039, 25502])).
% 40.46/26.90 tff(25504,plain,
% 40.46/26.90 (~v114(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25030, 294, 25503])).
% 40.46/26.90 tff(25505,plain,
% 40.46/26.90 (~v115(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25026, 283, 25504])).
% 40.46/26.90 tff(25506,plain,
% 40.46/26.90 (~v116(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25022, 272, 25505])).
% 40.46/26.90 tff(25507,plain,
% 40.46/26.90 (~v117(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25018, 261, 25506])).
% 40.46/26.90 tff(25508,plain,
% 40.46/26.90 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB183) | (~v121(constB183)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB183) | (~v121(constB183)))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25509,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB183) | (~v121(constB183)))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25510,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB183) | (~v121(constB183))),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25509, 25508])).
% 40.46/26.90 tff(25511,plain,
% 40.46/26.90 (~v121(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25510, 1130, 25507])).
% 40.46/26.90 tff(25512,plain,
% 40.46/26.90 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB183) | (~v123(constB183)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB183) | (~v123(constB183)))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25513,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB183) | (~v123(constB183)))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25514,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB183) | (~v123(constB183))),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25513, 25512])).
% 40.46/26.90 tff(25515,plain,
% 40.46/26.90 (~v123(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25514, 1247, 25505])).
% 40.46/26.90 tff(25516,plain,
% 40.46/26.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25517,plain,
% 40.46/26.90 (((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0)) <=> ((~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25518,plain,
% 40.46/26.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0)))),
% 40.46/26.90 inference(monotonicity,[status(thm)],[25517])).
% 40.46/26.90 tff(25519,plain,
% 40.46/26.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))),
% 40.46/26.90 inference(transitivity,[status(thm)],[25518, 25516])).
% 40.46/26.90 tff(25520,plain,
% 40.46/26.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25521,plain,
% 40.46/26.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25520, 25519])).
% 40.46/26.90 tff(25522,plain,
% 40.46/26.90 ((~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25521, 649, 25047])).
% 40.46/26.90 tff(25523,plain,
% 40.46/26.90 (~v90(constB183, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25522, 25499, 25498])).
% 40.46/26.90 tff(25524,plain,
% 40.46/26.90 (~v118(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25014, 250, 25507])).
% 40.46/26.90 tff(25525,plain,
% 40.46/26.90 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB183) | (~v119(constB183)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB183) | (~v119(constB183)))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25526,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB183) | (~v119(constB183)))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25527,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB183) | (~v119(constB183))),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25526, 25525])).
% 40.46/26.90 tff(25528,plain,
% 40.46/26.90 (~v119(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25527, 239, 25524])).
% 40.46/26.90 tff(25529,assumption,(~v119(constB183)), introduced(assumption)).
% 40.46/26.90 tff(25530,assumption,(~v90(constB183, bitIndex1)), introduced(assumption)).
% 40.46/26.90 tff(25531,assumption,(~v123(constB183)), introduced(assumption)).
% 40.46/26.90 tff(25532,assumption,(~v90(constB183, bitIndex0)), introduced(assumption)).
% 40.46/26.90 tff(25533,plain,
% 40.46/26.90 (((~![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))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25534,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25535,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25534, 25533])).
% 40.46/26.90 tff(25536,plain,
% 40.46/26.90 (v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25535, 1280, 25532])).
% 40.46/26.90 tff(25537,plain,
% 40.46/26.90 (~v90(constB183, bitIndex2)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25536, 25530, 25531])).
% 40.46/26.90 tff(25538,plain,
% 40.46/26.90 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25539,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25540,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB183) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25539, 25538])).
% 40.46/26.90 tff(25541,plain,
% 40.46/26.90 (v119(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25540, 228, 25532])).
% 40.46/26.90 tff(25542,plain,
% 40.46/26.90 ($false),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25541, 25537, 25530, 25529])).
% 40.46/26.90 tff(25543,plain,(v90(constB183, bitIndex1) | v119(constB183) | v90(constB183, bitIndex0) | v123(constB183)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.90 tff(25544,plain,
% 40.46/26.90 (v90(constB183, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25543, 25528, 25523, 25515])).
% 40.46/26.90 tff(25545,plain,
% 40.46/26.90 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB183) | (~v125(constB183)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB183) | (~v125(constB183)))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25546,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB183) | (~v125(constB183)))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25547,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB183) | (~v125(constB183))),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25546, 25545])).
% 40.46/26.90 tff(25548,plain,
% 40.46/26.90 (~v125(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25547, 1294, 25503])).
% 40.46/26.90 tff(25549,plain,
% 40.46/26.90 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | (~v90(constB183, bitIndex2)) | v125(constB183))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | (~v90(constB183, bitIndex2)) | v125(constB183))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25550,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | (~v90(constB183, bitIndex2)) | v125(constB183))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25551,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | (~v90(constB183, bitIndex2)) | v125(constB183)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25550, 25549])).
% 40.46/26.90 tff(25552,plain,
% 40.46/26.90 ((~v90(constB183, bitIndex1)) | (~v90(constB183, bitIndex2)) | v125(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25551, 1308, 25523])).
% 40.46/26.90 tff(25553,plain,
% 40.46/26.90 (~v90(constB183, bitIndex2)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25552, 25544, 25548])).
% 40.46/26.90 tff(25554,plain,
% 40.46/26.90 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | v90(constB183, bitIndex2) | v121(constB183))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | v90(constB183, bitIndex2) | v121(constB183))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25555,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | v90(constB183, bitIndex2) | v121(constB183))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25556,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | v90(constB183, bitIndex2) | v121(constB183)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25555, 25554])).
% 40.46/26.90 tff(25557,plain,
% 40.46/26.90 ((~v90(constB183, bitIndex1)) | v90(constB183, bitIndex2) | v121(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25556, 996, 25523])).
% 40.46/26.90 tff(25558,plain,
% 40.46/26.90 ($false),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25557, 25553, 25544, 25511])).
% 40.46/26.90 tff(25559,plain,(v100(constB184) | v90(constB184, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.90 tff(25560,plain,
% 40.46/26.90 (v100(constB184)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25559, 25498])).
% 40.46/26.90 tff(25561,plain,
% 40.46/26.90 (~v90(constB185, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25197, 25498])).
% 40.46/26.90 tff(25562,assumption,(v120(constB183)), introduced(assumption)).
% 40.46/26.90 tff(25563,plain,
% 40.46/26.90 (v130(constB183, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25136, 868, 25562])).
% 40.46/26.90 tff(25564,plain,
% 40.46/26.90 (v127(constB183, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25141, 25563])).
% 40.46/26.90 tff(25565,plain,
% 40.46/26.90 (v129(constB184, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25146, 25564])).
% 40.46/26.90 tff(25566,assumption,(v100(constB184)), introduced(assumption)).
% 40.46/26.90 tff(25567,plain,
% 40.46/26.90 (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1))),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25153, 912, 25566])).
% 40.46/26.90 tff(25568,plain,
% 40.46/26.90 (v90(constB184, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25567, 25565])).
% 40.46/26.90 tff(25569,plain,
% 40.46/26.90 (v90(constB185, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25163, 25568])).
% 40.46/26.90 tff(25570,plain,
% 40.46/26.90 (~v130(constB183, bitIndex2)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25084, 685, 25562])).
% 40.46/26.90 tff(25571,plain,
% 40.46/26.90 (~v127(constB183, bitIndex2)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25092, 25570])).
% 40.46/26.90 tff(25572,plain,
% 40.46/26.90 (~v129(constB184, bitIndex2)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25097, 25571])).
% 40.46/26.90 tff(25573,plain,
% 40.46/26.90 ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25104, 468, 25566])).
% 40.46/26.90 tff(25574,plain,
% 40.46/26.90 (~v90(constB184, bitIndex2)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25573, 25572])).
% 40.46/26.90 tff(25575,plain,
% 40.46/26.90 (~v90(constB185, bitIndex2)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25132, 25574])).
% 40.46/26.90 tff(25576,plain,
% 40.46/26.90 ((~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25201, 996, 25280])).
% 40.46/26.90 tff(25577,plain,
% 40.46/26.90 (v121(constB185)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25576, 25575, 25569])).
% 40.46/26.90 tff(25578,plain,
% 40.46/26.90 (v100(constB186)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25353, 25569, 25289])).
% 40.46/26.90 tff(25579,plain,
% 40.46/26.90 (~v129(constB186, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25345, 25578])).
% 40.46/26.90 tff(25580,plain,
% 40.46/26.90 (~v127(constB185, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25336, 25579])).
% 40.46/26.90 tff(25581,plain,
% 40.46/26.90 (~v130(constB185, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25331, 25580])).
% 40.46/26.90 tff(25582,plain,
% 40.46/26.90 ($false),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25313, 1758, 25581, 25577])).
% 40.46/26.90 tff(25583,plain,((~v120(constB183)) | v90(constB186, bitIndex0) | v90(constB185, bitIndex0) | v90(constB186, bitIndex1) | (~v100(constB184))), inference(lemma,lemma(discharge,[]))).
% 40.46/26.90 tff(25584,plain,
% 40.46/26.90 (~v120(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25583, 25561, 25338, 25289, 25560])).
% 40.46/26.90 tff(25585,plain,
% 40.46/26.90 (((~![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)))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25586,plain,
% 40.46/26.90 ((v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184)))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25587,plain,
% 40.46/26.90 (((~![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))))),
% 40.46/26.90 inference(monotonicity,[status(thm)],[25586])).
% 40.46/26.90 tff(25588,plain,
% 40.46/26.90 (((~![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)))),
% 40.46/26.90 inference(transitivity,[status(thm)],[25587, 25585])).
% 40.46/26.90 tff(25589,plain,
% 40.46/26.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0)))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25590,plain,
% 40.46/26.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184))),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25589, 25588])).
% 40.46/26.90 tff(25591,plain,
% 40.46/26.90 ((~v129(constB184, bitIndex0)) | (~v100(constB184))),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25590, 631, 25498])).
% 40.46/26.90 tff(25592,plain,
% 40.46/26.90 (~v129(constB184, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25591, 25560])).
% 40.46/26.90 tff(25593,plain,
% 40.46/26.90 (((~![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))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25594,plain,
% 40.46/26.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25595,plain,
% 40.46/26.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25594, 25593])).
% 40.46/26.90 tff(25596,plain,
% 40.46/26.90 ((~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25595, 616, 25047])).
% 40.46/26.90 tff(25597,plain,
% 40.46/26.90 (~v127(constB183, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25596, 25592])).
% 40.46/26.90 tff(25598,plain,
% 40.46/26.90 (((~![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))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25599,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25600,plain,
% 40.46/26.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25599, 25598])).
% 40.46/26.90 tff(25601,plain,
% 40.46/26.90 ((~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25600, 601, 25035])).
% 40.46/26.90 tff(25602,plain,
% 40.46/26.90 (~v130(constB183, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25601, 25597])).
% 40.46/26.90 tff(25603,plain,
% 40.46/26.90 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB183)) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB183)) | v130(constB183, bitIndex0))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25604,plain,
% 40.46/26.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB183)) | v130(constB183, bitIndex0))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25605,plain,
% 40.46/26.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB183)) | v130(constB183, bitIndex0)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25604, 25603])).
% 40.46/26.90 tff(25606,plain,
% 40.46/26.90 (~v119(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25605, 587, 25602])).
% 40.46/26.90 tff(25607,plain,
% 40.46/26.90 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB183)) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB183)) | v130(constB183, bitIndex0))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25608,plain,
% 40.46/26.90 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB183)) | v130(constB183, bitIndex0))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25609,plain,
% 40.46/26.90 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB183)) | v130(constB183, bitIndex0)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25608, 25607])).
% 40.46/26.90 tff(25610,plain,
% 40.46/26.90 (~v123(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25609, 2258, 25602])).
% 40.46/26.90 tff(25611,plain,
% 40.46/26.90 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB183)) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB183)) | v130(constB183, bitIndex0))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25612,plain,
% 40.46/26.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB183)) | v130(constB183, bitIndex0))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25613,plain,
% 40.46/26.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB183)) | v130(constB183, bitIndex0)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25612, 25611])).
% 40.46/26.90 tff(25614,plain,
% 40.46/26.90 (~v121(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25613, 1758, 25602])).
% 40.46/26.90 tff(25615,plain,
% 40.46/26.90 (~v120(constB185)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25300, 1957, 25561])).
% 40.46/26.90 tff(25616,plain,
% 40.46/26.90 (~v124(constB185)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25296, 1979, 25561])).
% 40.46/26.90 tff(25617,plain,
% 40.46/26.90 (v130(constB185, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25326, 25616, 25317, 25615])).
% 40.46/26.90 tff(25618,plain,
% 40.46/26.90 (v127(constB185, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25331, 25617])).
% 40.46/26.90 tff(25619,plain,
% 40.46/26.90 (v129(constB186, bitIndex0)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25336, 25618])).
% 40.46/26.90 tff(25620,plain,
% 40.46/26.90 (~v100(constB186)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25345, 25619])).
% 40.46/26.90 tff(25621,plain,
% 40.46/26.90 (~v90(constB185, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25353, 25620, 25289])).
% 40.46/26.90 tff(25622,plain,
% 40.46/26.90 (~v90(constB184, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25163, 25621])).
% 40.46/26.90 tff(25623,plain,
% 40.46/26.90 (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1))),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25153, 912, 25560])).
% 40.46/26.90 tff(25624,plain,
% 40.46/26.90 (~v129(constB184, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25623, 25622])).
% 40.46/26.90 tff(25625,plain,
% 40.46/26.90 (~v127(constB183, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25146, 25624])).
% 40.46/26.90 tff(25626,plain,
% 40.46/26.90 (~v130(constB183, bitIndex1)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25141, 25625])).
% 40.46/26.90 tff(25627,plain,
% 40.46/26.90 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB183)) | v130(constB183, bitIndex1))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25628,plain,
% 40.46/26.90 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB183)) | v130(constB183, bitIndex1))),
% 40.46/26.90 inference(quant_inst,[status(thm)],[])).
% 40.46/26.90 tff(25629,plain,
% 40.46/26.90 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB183)) | v130(constB183, bitIndex1)),
% 40.46/26.90 inference(modus_ponens,[status(thm)],[25628, 25627])).
% 40.46/26.90 tff(25630,plain,
% 40.46/26.90 (~v124(constB183)),
% 40.46/26.90 inference(unit_resolution,[status(thm)],[25629, 2347, 25626])).
% 40.46/26.90 tff(25631,assumption,(~v90(constB186, bitIndex2)), introduced(assumption)).
% 40.46/26.90 tff(25632,plain,
% 40.46/26.90 (((~![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))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25633,plain,
% 40.46/26.90 (((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex2)) | v100(constB186) | v90(constB186, bitIndex2)) <=> ((~v90(constB185, bitIndex2)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex2))),
% 40.46/26.90 inference(rewrite,[status(thm)],[])).
% 40.46/26.90 tff(25634,plain,
% 40.46/26.90 (((~![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)))),
% 40.46/26.90 inference(monotonicity,[status(thm)],[25633])).
% 40.46/26.90 tff(25635,plain,
% 40.46/26.90 (((~![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))),
% 40.46/26.91 inference(transitivity,[status(thm)],[25634, 25632])).
% 40.46/26.91 tff(25636,plain,
% 40.46/26.91 ((~![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))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25637,plain,
% 40.46/26.91 ((~![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)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25636, 25635])).
% 40.46/26.91 tff(25638,plain,
% 40.46/26.91 ((~v90(constB185, bitIndex2)) | v100(constB186) | v90(constB186, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25637, 2118, 25218])).
% 40.46/26.91 tff(25639,plain,
% 40.46/26.91 (~v90(constB185, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25638, 25620, 25631])).
% 40.46/26.91 tff(25640,plain,
% 40.46/26.91 (((~![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))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25641,plain,
% 40.46/26.91 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25642,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(monotonicity,[status(thm)],[25641])).
% 40.46/26.91 tff(25643,plain,
% 40.46/26.91 (((~![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))),
% 40.46/26.91 inference(transitivity,[status(thm)],[25642, 25640])).
% 40.46/26.91 tff(25644,plain,
% 40.46/26.91 ((~![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))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25645,plain,
% 40.46/26.91 ((~![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)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25644, 25643])).
% 40.46/26.91 tff(25646,plain,
% 40.46/26.91 ((~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25645, 2118, 25112])).
% 40.46/26.91 tff(25647,plain,
% 40.46/26.91 ((~v90(constB184, bitIndex2)) | v90(constB185, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25646, 25124])).
% 40.46/26.91 tff(25648,plain,
% 40.46/26.91 (~v90(constB184, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25647, 25639])).
% 40.46/26.91 tff(25649,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25650,plain,
% 40.46/26.91 ((v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25651,plain,
% 40.46/26.91 (((~![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))))),
% 40.46/26.91 inference(monotonicity,[status(thm)],[25650])).
% 40.46/26.91 tff(25652,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(transitivity,[status(thm)],[25651, 25649])).
% 40.46/26.91 tff(25653,plain,
% 40.46/26.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25654,plain,
% 40.46/26.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184))),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25653, 25652])).
% 40.46/26.91 tff(25655,plain,
% 40.46/26.91 (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2))),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25654, 2100, 25560])).
% 40.46/26.91 tff(25656,plain,
% 40.46/26.91 (~v129(constB184, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25655, 25648])).
% 40.46/26.91 tff(25657,plain,
% 40.46/26.91 (((~![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))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25658,plain,
% 40.46/26.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25659,plain,
% 40.46/26.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25658, 25657])).
% 40.46/26.91 tff(25660,plain,
% 40.46/26.91 ((~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25659, 1836, 25047])).
% 40.46/26.91 tff(25661,plain,
% 40.46/26.91 (~v127(constB183, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25660, 25656])).
% 40.46/26.91 tff(25662,plain,
% 40.46/26.91 (((~![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))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25663,plain,
% 40.46/26.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25664,plain,
% 40.46/26.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25663, 25662])).
% 40.46/26.91 tff(25665,plain,
% 40.46/26.91 ((~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25664, 1821, 25035])).
% 40.46/26.91 tff(25666,plain,
% 40.46/26.91 (~v130(constB183, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25665, 25661])).
% 40.46/26.91 tff(25667,plain,
% 40.46/26.91 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB183)) | v130(constB183, bitIndex2))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25668,plain,
% 40.46/26.91 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB183)) | v130(constB183, bitIndex2))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25669,plain,
% 40.46/26.91 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB183)) | v130(constB183, bitIndex2)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25668, 25667])).
% 40.46/26.91 tff(25670,plain,
% 40.46/26.91 (~v122(constB183)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25669, 1803, 25666])).
% 40.46/26.91 tff(25671,plain,
% 40.46/26.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB183, bitIndex0) | v123(constB183) | v121(constB183) | v122(constB183) | v120(constB183) | v119(constB183) | v124(constB183))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB183, bitIndex0) | v123(constB183) | v121(constB183) | v122(constB183) | v120(constB183) | v119(constB183) | v124(constB183))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25672,plain,
% 40.46/26.91 ((v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0)) <=> (v130(constB183, bitIndex0) | v123(constB183) | v121(constB183) | v122(constB183) | v120(constB183) | v119(constB183) | v124(constB183))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25673,plain,
% 40.46/26.91 (((~![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))) | (v130(constB183, bitIndex0) | v123(constB183) | v121(constB183) | v122(constB183) | v120(constB183) | v119(constB183) | v124(constB183)))),
% 40.46/26.91 inference(monotonicity,[status(thm)],[25672])).
% 40.46/26.91 tff(25674,plain,
% 40.46/26.91 (((~![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))) | v130(constB183, bitIndex0) | v123(constB183) | v121(constB183) | v122(constB183) | v120(constB183) | v119(constB183) | v124(constB183))),
% 40.46/26.91 inference(transitivity,[status(thm)],[25673, 25671])).
% 40.46/26.91 tff(25675,plain,
% 40.46/26.91 ((~![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))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25676,plain,
% 40.46/26.91 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB183, bitIndex0) | v123(constB183) | v121(constB183) | v122(constB183) | v120(constB183) | v119(constB183) | v124(constB183)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25675, 25674])).
% 40.46/26.91 tff(25677,plain,
% 40.46/26.91 (v123(constB183) | v121(constB183) | v122(constB183) | v120(constB183) | v119(constB183) | v124(constB183)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25676, 2753, 25602])).
% 40.46/26.91 tff(25678,plain,
% 40.46/26.91 ($false),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25677, 25670, 25630, 25614, 25610, 25606, 25584])).
% 40.46/26.91 tff(25679,plain,(v90(constB184, bitIndex0) | v90(constB186, bitIndex2) | v90(constB186, bitIndex1) | v90(constB186, bitIndex0) | v122(constB185)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.91 tff(25680,plain,
% 40.46/26.91 (v90(constB184, bitIndex0)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25679, 25497, 25289, 25338, 25496])).
% 40.46/26.91 tff(25681,plain,
% 40.46/26.91 (((~![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))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25682,plain,
% 40.46/26.91 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25683,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(monotonicity,[status(thm)],[25682])).
% 40.46/26.91 tff(25684,plain,
% 40.46/26.91 (((~![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))),
% 40.46/26.91 inference(transitivity,[status(thm)],[25683, 25681])).
% 40.46/26.91 tff(25685,plain,
% 40.46/26.91 ((~![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))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25686,plain,
% 40.46/26.91 ((~![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)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25685, 25684])).
% 40.46/26.91 tff(25687,plain,
% 40.46/26.91 ((~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25686, 649, 25112])).
% 40.46/26.91 tff(25688,plain,
% 40.46/26.91 ((~v90(constB184, bitIndex0)) | v90(constB185, bitIndex0)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25687, 25124])).
% 40.46/26.91 tff(25689,plain,
% 40.46/26.91 (v90(constB185, bitIndex0)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25688, 25680])).
% 40.46/26.91 tff(25690,plain,
% 40.46/26.91 (((~![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))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25691,plain,
% 40.46/26.91 (((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex0)) | v100(constB186) | v90(constB186, bitIndex0)) <=> ((~v90(constB185, bitIndex0)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex0))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25692,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(monotonicity,[status(thm)],[25691])).
% 40.46/26.91 tff(25693,plain,
% 40.46/26.91 (((~![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))),
% 40.46/26.91 inference(transitivity,[status(thm)],[25692, 25690])).
% 40.46/26.91 tff(25694,plain,
% 40.46/26.91 ((~![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))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25695,plain,
% 40.46/26.91 ((~![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)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25694, 25693])).
% 40.46/26.91 tff(25696,plain,
% 40.46/26.91 ((~v90(constB185, bitIndex0)) | v100(constB186) | v90(constB186, bitIndex0)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25695, 649, 25218])).
% 40.46/26.91 tff(25697,plain,
% 40.46/26.91 (v100(constB186)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25696, 25689, 25338])).
% 40.46/26.91 tff(25698,plain,
% 40.46/26.91 (~v129(constB186, bitIndex0)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25345, 25697])).
% 40.46/26.91 tff(25699,plain,
% 40.46/26.91 (~v127(constB185, bitIndex0)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25336, 25698])).
% 40.46/26.91 tff(25700,plain,
% 40.46/26.91 (~v130(constB185, bitIndex0)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25331, 25699])).
% 40.46/26.91 tff(25701,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25702,plain,
% 40.46/26.91 ((v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25703,plain,
% 40.46/26.91 (((~![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))))),
% 40.46/26.91 inference(monotonicity,[status(thm)],[25702])).
% 40.46/26.91 tff(25704,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(transitivity,[status(thm)],[25703, 25701])).
% 40.46/26.91 tff(25705,plain,
% 40.46/26.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25706,plain,
% 40.46/26.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186))),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25705, 25704])).
% 40.46/26.91 tff(25707,plain,
% 40.46/26.91 ((~v129(constB186, bitIndex1)) | (~v100(constB186))),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25706, 912, 25289])).
% 40.46/26.91 tff(25708,plain,
% 40.46/26.91 (~v129(constB186, bitIndex1)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25707, 25697])).
% 40.46/26.91 tff(25709,plain,
% 40.46/26.91 (~v127(constB185, bitIndex1)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25222, 25708])).
% 40.46/26.91 tff(25710,plain,
% 40.46/26.91 (~v130(constB185, bitIndex1)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25214, 25709])).
% 40.46/26.91 tff(25711,plain,
% 40.46/26.91 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB185)) | v130(constB185, bitIndex1))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25712,plain,
% 40.46/26.91 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB185)) | v130(constB185, bitIndex1))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25713,plain,
% 40.46/26.91 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB185)) | v130(constB185, bitIndex1)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25712, 25711])).
% 40.46/26.91 tff(25714,plain,
% 40.46/26.91 (~v124(constB185)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25713, 2347, 25710])).
% 40.46/26.91 tff(25715,plain,
% 40.46/26.91 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB185)) | v130(constB185, bitIndex1))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25716,plain,
% 40.46/26.91 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB185)) | v130(constB185, bitIndex1))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25717,plain,
% 40.46/26.91 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB185)) | v130(constB185, bitIndex1)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25716, 25715])).
% 40.46/26.91 tff(25718,plain,
% 40.46/26.91 (~v120(constB185)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25717, 868, 25710])).
% 40.46/26.91 tff(25719,plain,
% 40.46/26.91 ($false),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25326, 25718, 25714, 25700, 25496])).
% 40.46/26.91 tff(25720,plain,(v90(constB187, bitIndex2) | v90(constB186, bitIndex1) | v90(constB186, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.91 tff(25721,plain,
% 40.46/26.91 (v90(constB187, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25720, 25289, 25338])).
% 40.46/26.91 tff(25722,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25723,plain,
% 40.46/26.91 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25724,plain,
% 40.46/26.91 (((~![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))))),
% 40.46/26.91 inference(monotonicity,[status(thm)],[25723])).
% 40.46/26.91 tff(25725,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(transitivity,[status(thm)],[25724, 25722])).
% 40.46/26.91 tff(25726,plain,
% 40.46/26.91 ((~![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)))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25727,plain,
% 40.46/26.91 ((~![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))),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25726, 25725])).
% 40.46/26.91 tff(25728,plain,
% 40.46/26.91 (v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25727, 165, 25399])).
% 40.46/26.91 tff(25729,plain,
% 40.46/26.91 (v90(constB186, bitIndex2) | (~v90(constB187, bitIndex2))),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25728, 25411])).
% 40.46/26.91 tff(25730,plain,
% 40.46/26.91 (v90(constB186, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25729, 25721])).
% 40.46/26.91 tff(25731,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25732,plain,
% 40.46/26.91 (((~nextState(constB185, constB186)) | v90(constB185, bitIndex2) | v100(constB186) | (~v90(constB186, bitIndex2))) <=> (v90(constB185, bitIndex2) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex2)))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25733,plain,
% 40.46/26.91 (((~![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))))),
% 40.46/26.91 inference(monotonicity,[status(thm)],[25732])).
% 40.46/26.91 tff(25734,plain,
% 40.46/26.91 (((~![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)))),
% 40.46/26.91 inference(transitivity,[status(thm)],[25733, 25731])).
% 40.46/26.91 tff(25735,plain,
% 40.46/26.91 ((~![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)))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25736,plain,
% 40.46/26.91 ((~![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))),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25735, 25734])).
% 40.46/26.91 tff(25737,plain,
% 40.46/26.91 (v90(constB185, bitIndex2) | v100(constB186) | (~v90(constB186, bitIndex2))),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25736, 165, 25218])).
% 40.46/26.91 tff(25738,plain,
% 40.46/26.91 (v90(constB185, bitIndex2)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25737, 25346, 25730])).
% 40.46/26.91 tff(25739,plain,
% 40.46/26.91 (((~![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))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25740,plain,
% 40.46/26.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v123(constB185))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25741,plain,
% 40.46/26.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v123(constB185)),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25740, 25739])).
% 40.46/26.91 tff(25742,plain,
% 40.46/26.91 (v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v123(constB185)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25741, 1280, 25280])).
% 40.46/26.91 tff(25743,plain,
% 40.46/26.91 (v123(constB185)),
% 40.46/26.91 inference(unit_resolution,[status(thm)],[25742, 25738, 25354])).
% 40.46/26.91 tff(25744,plain,
% 40.46/26.91 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB185) | (~v123(constB185)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB185) | (~v123(constB185)))),
% 40.46/26.91 inference(rewrite,[status(thm)],[])).
% 40.46/26.91 tff(25745,plain,
% 40.46/26.91 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB185) | (~v123(constB185)))),
% 40.46/26.91 inference(quant_inst,[status(thm)],[])).
% 40.46/26.91 tff(25746,plain,
% 40.46/26.91 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB185) | (~v123(constB185))),
% 40.46/26.91 inference(modus_ponens,[status(thm)],[25745, 25744])).
% 40.46/26.91 tff(25747,plain,
% 40.46/26.91 (v115(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25746, 1247, 25743])).
% 40.46/26.92 tff(25748,plain,
% 40.46/26.92 (v114(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25274, 283, 25747])).
% 40.46/26.92 tff(25749,plain,
% 40.46/26.92 (~v110(constB186)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25246, 25346])).
% 40.46/26.92 tff(25750,plain,
% 40.46/26.92 (~v108(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25254, 25749])).
% 40.46/26.92 tff(25751,plain,
% 40.46/26.92 (~v112(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25258, 320, 25750])).
% 40.46/26.92 tff(25752,plain,
% 40.46/26.92 (~v113(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25266, 25751])).
% 40.46/26.92 tff(25753,plain,
% 40.46/26.92 ($false),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25270, 294, 25752, 25748])).
% 40.46/26.92 tff(25754,plain,(v90(constB185, bitIndex0) | v90(constB186, bitIndex1) | v90(constB186, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.92 tff(25755,plain,
% 40.46/26.92 (v90(constB186, bitIndex1)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25754, 25288, 25280])).
% 40.46/26.92 tff(25756,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25757,plain,
% 40.46/26.92 (((~nextState(constB185, constB186)) | v90(constB185, bitIndex1) | v100(constB186) | (~v90(constB186, bitIndex1))) <=> (v90(constB185, bitIndex1) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex1)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25758,plain,
% 40.46/26.92 (((~![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))))),
% 40.46/26.92 inference(monotonicity,[status(thm)],[25757])).
% 40.46/26.92 tff(25759,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(transitivity,[status(thm)],[25758, 25756])).
% 40.46/26.92 tff(25760,plain,
% 40.46/26.92 ((~![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)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25761,plain,
% 40.46/26.92 ((~![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))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25760, 25759])).
% 40.46/26.92 tff(25762,plain,
% 40.46/26.92 (v90(constB185, bitIndex1) | v100(constB186) | (~v90(constB186, bitIndex1))),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25761, 186, 25218])).
% 40.46/26.92 tff(25763,plain,
% 40.46/26.92 (v90(constB185, bitIndex1)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25762, 25755, 25224])).
% 40.46/26.92 tff(25764,plain,
% 40.46/26.92 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB185) | (~v125(constB185)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB185) | (~v125(constB185)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25765,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB185) | (~v125(constB185)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25766,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB185) | (~v125(constB185))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25765, 25764])).
% 40.46/26.92 tff(25767,plain,
% 40.46/26.92 (~v125(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25766, 1294, 25267])).
% 40.46/26.92 tff(25768,plain,
% 40.46/26.92 (((~![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))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25769,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25770,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185)),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25769, 25768])).
% 40.46/26.92 tff(25771,plain,
% 40.46/26.92 ((~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25770, 1308, 25280])).
% 40.46/26.92 tff(25772,plain,
% 40.46/26.92 (~v90(constB185, bitIndex2)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25771, 25767, 25763])).
% 40.46/26.92 tff(25773,plain,
% 40.46/26.92 (v121(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25576, 25772, 25763])).
% 40.46/26.92 tff(25774,plain,
% 40.46/26.92 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB185) | (~v121(constB185)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB185) | (~v121(constB185)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25775,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB185) | (~v121(constB185)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25776,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB185) | (~v121(constB185))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25775, 25774])).
% 40.46/26.92 tff(25777,plain,
% 40.46/26.92 (v117(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25776, 1130, 25773])).
% 40.46/26.92 tff(25778,plain,
% 40.46/26.92 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB185) | (~v117(constB185)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB185) | (~v117(constB185)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25779,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB185) | (~v117(constB185)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25780,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB185) | (~v117(constB185))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25779, 25778])).
% 40.46/26.92 tff(25781,plain,
% 40.46/26.92 ($false),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25780, 261, 25777, 25279])).
% 40.46/26.92 tff(25782,plain,(v100(constB186) | v90(constB185, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.92 tff(25783,plain,
% 40.46/26.92 (v100(constB186)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25782, 25198])).
% 40.46/26.92 tff(25784,plain,
% 40.46/26.92 (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1))),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25706, 912, 25783])).
% 40.46/26.92 tff(25785,plain,
% 40.46/26.92 (v90(constB186, bitIndex1)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25784, 25223])).
% 40.46/26.92 tff(25786,plain,
% 40.46/26.92 (((~![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))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25787,plain,
% 40.46/26.92 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25788,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(monotonicity,[status(thm)],[25787])).
% 40.46/26.92 tff(25789,plain,
% 40.46/26.92 (((~![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))),
% 40.46/26.92 inference(transitivity,[status(thm)],[25788, 25786])).
% 40.46/26.92 tff(25790,plain,
% 40.46/26.92 ((~![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))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25791,plain,
% 40.46/26.92 ((~![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)),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25790, 25789])).
% 40.46/26.92 tff(25792,plain,
% 40.46/26.92 ((~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25791, 1049, 25399])).
% 40.46/26.92 tff(25793,plain,
% 40.46/26.92 ((~v90(constB186, bitIndex1)) | v90(constB187, bitIndex1)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25792, 25411])).
% 40.46/26.92 tff(25794,plain,
% 40.46/26.92 (v90(constB187, bitIndex1)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25793, 25785])).
% 40.46/26.92 tff(25795,plain,
% 40.46/26.92 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25796,plain,
% 40.46/26.92 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25797,plain,
% 40.46/26.92 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25796, 25795])).
% 40.46/26.92 tff(25798,plain,
% 40.46/26.92 (~v130(constB185, bitIndex2)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25797, 1102, 25202])).
% 40.46/26.92 tff(25799,plain,
% 40.46/26.92 (((~![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))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25800,plain,
% 40.46/26.92 ((v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2))) <=> ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25801,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(monotonicity,[status(thm)],[25800])).
% 40.46/26.92 tff(25802,plain,
% 40.46/26.92 (((~![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))),
% 40.46/26.92 inference(transitivity,[status(thm)],[25801, 25799])).
% 40.46/26.92 tff(25803,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25804,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25803, 25802])).
% 40.46/26.92 tff(25805,plain,
% 40.46/26.92 ((~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25804, 435, 25210])).
% 40.46/26.92 tff(25806,plain,
% 40.46/26.92 (~v127(constB185, bitIndex2)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25805, 25798])).
% 40.46/26.92 tff(25807,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25808,plain,
% 40.46/26.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25809,plain,
% 40.46/26.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25808, 25807])).
% 40.46/26.92 tff(25810,plain,
% 40.46/26.92 (v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25809, 453, 25218])).
% 40.46/26.92 tff(25811,plain,
% 40.46/26.92 (~v129(constB186, bitIndex2)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25810, 25806])).
% 40.46/26.92 tff(25812,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25813,plain,
% 40.46/26.92 (((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2)) <=> ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25814,plain,
% 40.46/26.92 (((~![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))))),
% 40.46/26.92 inference(monotonicity,[status(thm)],[25813])).
% 40.46/26.92 tff(25815,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(transitivity,[status(thm)],[25814, 25812])).
% 40.46/26.92 tff(25816,plain,
% 40.46/26.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25817,plain,
% 40.46/26.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25816, 25815])).
% 40.46/26.92 tff(25818,plain,
% 40.46/26.92 ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25817, 468, 25783])).
% 40.46/26.92 tff(25819,plain,
% 40.46/26.92 (~v90(constB186, bitIndex2)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25818, 25811])).
% 40.46/26.92 tff(25820,plain,
% 40.46/26.92 (~v90(constB187, bitIndex2)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25729, 25819])).
% 40.46/26.92 tff(25821,plain,
% 40.46/26.92 (~v122(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25292, 1968, 25198])).
% 40.46/26.92 tff(25822,plain,
% 40.46/26.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v120(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v120(constB185)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25823,plain,
% 40.46/26.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v120(constB185)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25824,plain,
% 40.46/26.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v120(constB185))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25823, 25822])).
% 40.46/26.92 tff(25825,plain,
% 40.46/26.92 (~v120(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25824, 2615, 25164])).
% 40.46/26.92 tff(25826,plain,
% 40.46/26.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v124(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v124(constB185)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25827,plain,
% 40.46/26.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v124(constB185)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25828,plain,
% 40.46/26.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v124(constB185))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25827, 25826])).
% 40.46/26.92 tff(25829,plain,
% 40.46/26.92 (~v124(constB185)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25828, 2637, 25164])).
% 40.46/26.92 tff(25830,plain,
% 40.46/26.92 (v130(constB185, bitIndex0)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25326, 25829, 25825, 25821])).
% 40.46/26.92 tff(25831,plain,
% 40.46/26.92 (v127(constB185, bitIndex0)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25331, 25830])).
% 40.46/26.92 tff(25832,plain,
% 40.46/26.92 (v129(constB186, bitIndex0)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25336, 25831])).
% 40.46/26.92 tff(25833,plain,
% 40.46/26.92 (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0))),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25344, 631, 25783])).
% 40.46/26.92 tff(25834,plain,
% 40.46/26.92 (v90(constB186, bitIndex0)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25833, 25832])).
% 40.46/26.92 tff(25835,plain,
% 40.46/26.92 (((~![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))) <=> ((~![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))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25836,plain,
% 40.46/26.92 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25837,plain,
% 40.46/26.92 (((~![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))) <=> ((~![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)))),
% 40.46/26.92 inference(monotonicity,[status(thm)],[25836])).
% 40.46/26.92 tff(25838,plain,
% 40.46/26.92 (((~![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))) <=> ((~![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))),
% 40.46/26.92 inference(transitivity,[status(thm)],[25837, 25835])).
% 40.46/26.92 tff(25839,plain,
% 40.46/26.92 ((~![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))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25840,plain,
% 40.46/26.92 ((~![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)),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25839, 25838])).
% 40.46/26.92 tff(25841,plain,
% 40.46/26.92 ((~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25840, 649, 25399])).
% 40.46/26.92 tff(25842,plain,
% 40.46/26.92 ((~v90(constB186, bitIndex0)) | v90(constB187, bitIndex0)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25841, 25411])).
% 40.46/26.92 tff(25843,plain,
% 40.46/26.92 (v90(constB187, bitIndex0)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25842, 25834])).
% 40.46/26.92 tff(25844,plain,
% 40.46/26.92 (((~![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))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25845,plain,
% 40.46/26.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25846,plain,
% 40.46/26.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187)),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25845, 25844])).
% 40.46/26.92 tff(25847,plain,
% 40.46/26.92 ((~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25846, 1184, 25843])).
% 40.46/26.92 tff(25848,plain,
% 40.46/26.92 (v122(constB187)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25847, 25820, 25794])).
% 40.46/26.92 tff(25849,plain,
% 40.46/26.92 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB187) | (~v122(constB187)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB187) | (~v122(constB187)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25850,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB187) | (~v122(constB187)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25851,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB187) | (~v122(constB187))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25850, 25849])).
% 40.46/26.92 tff(25852,plain,
% 40.46/26.92 (v116(constB187)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25851, 1149, 25848])).
% 40.46/26.92 tff(25853,plain,
% 40.46/26.92 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25854,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25855,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25854, 25853])).
% 40.46/26.92 tff(25856,plain,
% 40.46/26.92 (v115(constB187)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25855, 272, 25852])).
% 40.46/26.92 tff(25857,plain,
% 40.46/26.92 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25858,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25859,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25858, 25857])).
% 40.46/26.92 tff(25860,plain,
% 40.46/26.92 (v114(constB187)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25859, 283, 25856])).
% 40.46/26.92 tff(25861,plain,
% 40.46/26.92 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25862,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25863,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 40.46/26.92 tff(25864,plain,
% 40.46/26.92 (v113(constB187)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25863, 294, 25860])).
% 40.46/26.92 tff(25865,assumption,(~v108(constB187)), introduced(assumption)).
% 40.46/26.92 tff(25866,plain,
% 40.46/26.92 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25867,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25868,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25867, 25866])).
% 40.46/26.92 tff(25869,plain,
% 40.46/26.92 (~v112(constB187)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25868, 320, 25865])).
% 40.46/26.92 tff(25870,plain,
% 40.46/26.92 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB187) | (~v26(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB187) | (~v26(constB187)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25871,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB187) | (~v26(constB187)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25872,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB187) | (~v26(constB187))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25871, 25870])).
% 40.46/26.92 tff(25873,plain,
% 40.46/26.92 (~v26(constB187)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25872, 766, 25865])).
% 40.46/26.92 tff(25874,assumption,(v113(constB187)), introduced(assumption)).
% 40.46/26.92 tff(25875,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25876,plain,
% 40.46/26.92 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25877,plain,
% 40.46/26.92 (((~![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))))),
% 40.46/26.92 inference(monotonicity,[status(thm)],[25876])).
% 40.46/26.92 tff(25878,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(transitivity,[status(thm)],[25877, 25875])).
% 40.46/26.92 tff(25879,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25880,plain,
% 40.46/26.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25879, 25878])).
% 40.46/26.92 tff(25881,plain,
% 40.46/26.92 (v26(constB187) | v112(constB187)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25880, 308, 25874])).
% 40.46/26.92 tff(25882,plain,
% 40.46/26.92 ($false),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25881, 25873, 25869])).
% 40.46/26.92 tff(25883,plain,(v108(constB187) | (~v113(constB187))), inference(lemma,lemma(discharge,[]))).
% 40.46/26.92 tff(25884,plain,
% 40.46/26.92 (v108(constB187)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25883, 25864])).
% 40.46/26.92 tff(25885,plain,
% 40.46/26.92 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25886,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 40.46/26.92 tff(25887,plain,
% 40.46/26.92 (nextState(constB187, constB188)),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25886, 25885])).
% 40.46/26.92 tff(25888,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25889,plain,
% 40.46/26.92 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25890,plain,
% 40.46/26.92 (((~![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))))),
% 40.46/26.92 inference(monotonicity,[status(thm)],[25889])).
% 40.46/26.92 tff(25891,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(transitivity,[status(thm)],[25890, 25888])).
% 40.46/26.92 tff(25892,plain,
% 40.46/26.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.92 tff(25893,plain,
% 40.46/26.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 40.46/26.92 inference(modus_ponens,[status(thm)],[25892, 25891])).
% 40.46/26.92 tff(25894,plain,
% 40.46/26.92 (v110(constB188) | (~v108(constB187))),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25893, 337, 25887])).
% 40.46/26.92 tff(25895,plain,
% 40.46/26.92 (v110(constB188)),
% 40.46/26.92 inference(unit_resolution,[status(thm)],[25894, 25884])).
% 40.46/26.92 tff(25896,plain,
% 40.46/26.92 (((~![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)))),
% 40.46/26.92 inference(rewrite,[status(thm)],[])).
% 40.46/26.92 tff(25897,plain,
% 40.46/26.92 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 40.46/26.92 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25898,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25897, 25896])).
% 40.46/26.93 tff(25899,plain,
% 40.46/26.93 (~v104(constB188)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25898, 355, 25887, 25396])).
% 40.46/26.93 tff(25900,plain,
% 40.46/26.93 (((~![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))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25901,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25902,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25901, 25900])).
% 40.46/26.93 tff(25903,plain,
% 40.46/26.93 (v102(constB188) | v104(constB188)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25902, 369, 25887])).
% 40.46/26.93 tff(25904,plain,
% 40.46/26.93 (v102(constB188)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25903, 25899])).
% 40.46/26.93 tff(25905,plain,
% 40.46/26.93 (v1(constB188) <=> v1(constB188)),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25906,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 40.46/26.93 tff(25907,plain,
% 40.46/26.93 (v1(constB188)),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25906, 25905])).
% 40.46/26.93 tff(25908,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25909,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25910,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25909, 25908])).
% 40.46/26.93 tff(25911,plain,
% 40.46/26.93 (v101(constB188) | (~v102(constB188))),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25910, 387, 25887, 25907])).
% 40.46/26.93 tff(25912,plain,
% 40.46/26.93 (v101(constB188)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25911, 25904])).
% 40.46/26.93 tff(25913,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25914,plain,
% 40.46/26.93 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25915,plain,
% 40.46/26.93 (((~![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))))),
% 40.46/26.93 inference(monotonicity,[status(thm)],[25914])).
% 40.46/26.93 tff(25916,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(transitivity,[status(thm)],[25915, 25913])).
% 40.46/26.93 tff(25917,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25918,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25917, 25916])).
% 40.46/26.93 tff(25919,plain,
% 40.46/26.93 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25918, 402, 25887])).
% 40.46/26.93 tff(25920,plain,
% 40.46/26.93 (v100(constB188) | (~v110(constB188))),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25919, 25912])).
% 40.46/26.93 tff(25921,plain,
% 40.46/26.93 (v100(constB188)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25920, 25895])).
% 40.46/26.93 tff(25922,plain,
% 40.46/26.93 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25923,plain,
% 40.46/26.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25924,plain,
% 40.46/26.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2)),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25923, 25922])).
% 40.46/26.93 tff(25925,plain,
% 40.46/26.93 (v130(constB187, bitIndex2)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25924, 1803, 25848])).
% 40.46/26.93 tff(25926,assumption,(v26(constB187)), introduced(assumption)).
% 40.46/26.93 tff(25927,plain,
% 40.46/26.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25928,plain,
% 40.46/26.93 ($false),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25927, 86, 25926])).
% 40.46/26.93 tff(25929,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.93 tff(25930,plain,
% 40.46/26.93 (((~![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))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25931,plain,
% 40.46/26.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25932,plain,
% 40.46/26.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25931, 25930])).
% 40.46/26.93 tff(25933,plain,
% 40.46/26.93 ((~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25932, 1821, 25929])).
% 40.46/26.93 tff(25934,plain,
% 40.46/26.93 (v127(constB187, bitIndex2)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25933, 25925])).
% 40.46/26.93 tff(25935,plain,
% 40.46/26.93 (((~![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))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25936,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25937,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25936, 25935])).
% 40.46/26.93 tff(25938,plain,
% 40.46/26.93 ((~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25937, 1836, 25887])).
% 40.46/26.93 tff(25939,plain,
% 40.46/26.93 (v129(constB188, bitIndex2)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25938, 25934])).
% 40.46/26.93 tff(25940,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25941,plain,
% 40.46/26.93 ((v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2))) <=> (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25942,plain,
% 40.46/26.93 (((~![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))))),
% 40.46/26.93 inference(monotonicity,[status(thm)],[25941])).
% 40.46/26.93 tff(25943,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(transitivity,[status(thm)],[25942, 25940])).
% 40.46/26.93 tff(25944,plain,
% 40.46/26.93 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25945,plain,
% 40.46/26.93 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25944, 25943])).
% 40.46/26.93 tff(25946,plain,
% 40.46/26.93 (v90(constB188, bitIndex2) | (~v100(constB188))),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25945, 2100, 25939])).
% 40.46/26.93 tff(25947,plain,
% 40.46/26.93 (v90(constB188, bitIndex2)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25946, 25921])).
% 40.46/26.93 tff(25948,plain,
% 40.46/26.93 ((~v1(constB189)) <=> (~v1(constB189))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25949,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 40.46/26.93 tff(25950,plain,
% 40.46/26.93 (~v1(constB189)),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25949, 25948])).
% 40.46/26.93 tff(25951,plain,
% 40.46/26.93 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25952,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 40.46/26.93 tff(25953,plain,
% 40.46/26.93 (nextState(constB188, constB189)),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25952, 25951])).
% 40.46/26.93 tff(25954,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25955,plain,
% 40.46/26.93 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25956,plain,
% 40.46/26.93 (((~![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))))),
% 40.46/26.93 inference(monotonicity,[status(thm)],[25955])).
% 40.46/26.93 tff(25957,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(transitivity,[status(thm)],[25956, 25954])).
% 40.46/26.93 tff(25958,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25959,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25958, 25957])).
% 40.46/26.93 tff(25960,plain,
% 40.46/26.93 (~v101(constB189)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25959, 133, 25953, 25950])).
% 40.46/26.93 tff(25961,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25962,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25963,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25962, 25961])).
% 40.46/26.93 tff(25964,plain,
% 40.46/26.93 (v101(constB189) | (~v100(constB189))),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25963, 150, 25953])).
% 40.46/26.93 tff(25965,plain,
% 40.46/26.93 (~v100(constB189)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25964, 25960])).
% 40.46/26.93 tff(25966,plain,
% 40.46/26.93 (((~![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))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25967,plain,
% 40.46/26.93 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)) <=> ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25968,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(monotonicity,[status(thm)],[25967])).
% 40.46/26.93 tff(25969,plain,
% 40.46/26.93 (((~![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))),
% 40.46/26.93 inference(transitivity,[status(thm)],[25968, 25966])).
% 40.46/26.93 tff(25970,plain,
% 40.46/26.93 ((~![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))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25971,plain,
% 40.46/26.93 ((~![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)),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25970, 25969])).
% 40.46/26.93 tff(25972,plain,
% 40.46/26.93 ((~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25971, 2118, 25953])).
% 40.46/26.93 tff(25973,plain,
% 40.46/26.93 ((~v90(constB188, bitIndex2)) | v90(constB189, bitIndex2)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25972, 25965])).
% 40.46/26.93 tff(25974,plain,
% 40.46/26.93 (v90(constB189, bitIndex2)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25973, 25947])).
% 40.46/26.93 tff(25975,plain,
% 40.46/26.93 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB187)) | (~v130(constB187, bitIndex1)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25976,plain,
% 40.46/26.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex1)))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25977,plain,
% 40.46/26.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB187)) | (~v130(constB187, bitIndex1))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25976, 25975])).
% 40.46/26.93 tff(25978,plain,
% 40.46/26.93 (~v130(constB187, bitIndex1)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25977, 2137, 25848])).
% 40.46/26.93 tff(25979,plain,
% 40.46/26.93 (((~![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))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25980,plain,
% 40.46/26.93 ((v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1))) <=> ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25981,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(monotonicity,[status(thm)],[25980])).
% 40.46/26.93 tff(25982,plain,
% 40.46/26.93 (((~![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))),
% 40.46/26.93 inference(transitivity,[status(thm)],[25981, 25979])).
% 40.46/26.93 tff(25983,plain,
% 40.46/26.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25984,plain,
% 40.46/26.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1)),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25983, 25982])).
% 40.46/26.93 tff(25985,plain,
% 40.46/26.93 ((~v127(constB187, bitIndex1)) | v130(constB187, bitIndex1)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25984, 527, 25929])).
% 40.46/26.93 tff(25986,plain,
% 40.46/26.93 (~v127(constB187, bitIndex1)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25985, 25978])).
% 40.46/26.93 tff(25987,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25988,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25989,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25988, 25987])).
% 40.46/26.93 tff(25990,plain,
% 40.46/26.93 (v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25989, 545, 25887])).
% 40.46/26.93 tff(25991,plain,
% 40.46/26.93 (~v129(constB188, bitIndex1)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25990, 25986])).
% 40.46/26.93 tff(25992,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25993,plain,
% 40.46/26.93 (((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1)) <=> ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(25994,plain,
% 40.46/26.93 (((~![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))))),
% 40.46/26.93 inference(monotonicity,[status(thm)],[25993])).
% 40.46/26.93 tff(25995,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(transitivity,[status(thm)],[25994, 25992])).
% 40.46/26.93 tff(25996,plain,
% 40.46/26.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(25997,plain,
% 40.46/26.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[25996, 25995])).
% 40.46/26.93 tff(25998,plain,
% 40.46/26.93 ((~v90(constB188, bitIndex1)) | (~v100(constB188))),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25997, 560, 25991])).
% 40.46/26.93 tff(25999,plain,
% 40.46/26.93 (~v90(constB188, bitIndex1)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[25998, 25921])).
% 40.46/26.93 tff(26000,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(26001,plain,
% 40.46/26.93 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))) <=> (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(26002,plain,
% 40.46/26.93 (((~![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))))),
% 40.46/26.93 inference(monotonicity,[status(thm)],[26001])).
% 40.46/26.93 tff(26003,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(transitivity,[status(thm)],[26002, 26000])).
% 40.46/26.93 tff(26004,plain,
% 40.46/26.93 ((~![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)))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(26005,plain,
% 40.46/26.93 ((~![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))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[26004, 26003])).
% 40.46/26.93 tff(26006,plain,
% 40.46/26.93 (v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[26005, 186, 25953])).
% 40.46/26.93 tff(26007,plain,
% 40.46/26.93 (v90(constB188, bitIndex1) | (~v90(constB189, bitIndex1))),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[26006, 25965])).
% 40.46/26.93 tff(26008,plain,
% 40.46/26.93 (~v90(constB189, bitIndex1)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[26007, 25999])).
% 40.46/26.93 tff(26009,plain,
% 40.46/26.93 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(26010,plain,
% 40.46/26.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(26011,plain,
% 40.46/26.93 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[26010, 26009])).
% 40.46/26.93 tff(26012,plain,
% 40.46/26.93 (~v130(constB187, bitIndex0)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[26011, 1486, 25848])).
% 40.46/26.93 tff(26013,plain,
% 40.46/26.93 (((~![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))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(26014,plain,
% 40.46/26.93 ((v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0))) <=> ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(26015,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(monotonicity,[status(thm)],[26014])).
% 40.46/26.93 tff(26016,plain,
% 40.46/26.93 (((~![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))),
% 40.46/26.93 inference(transitivity,[status(thm)],[26015, 26013])).
% 40.46/26.93 tff(26017,plain,
% 40.46/26.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(26018,plain,
% 40.46/26.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 40.46/26.93 tff(26019,plain,
% 40.46/26.93 ((~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[26018, 944, 25929])).
% 40.46/26.93 tff(26020,plain,
% 40.46/26.93 (~v127(constB187, bitIndex0)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[26019, 26012])).
% 40.46/26.93 tff(26021,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(26022,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 40.46/26.93 inference(quant_inst,[status(thm)],[])).
% 40.46/26.93 tff(26023,plain,
% 40.46/26.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 40.46/26.93 inference(modus_ponens,[status(thm)],[26022, 26021])).
% 40.46/26.93 tff(26024,plain,
% 40.46/26.93 (v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[26023, 962, 25887])).
% 40.46/26.93 tff(26025,plain,
% 40.46/26.93 (~v129(constB188, bitIndex0)),
% 40.46/26.93 inference(unit_resolution,[status(thm)],[26024, 26020])).
% 40.46/26.93 tff(26026,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(26027,plain,
% 40.46/26.93 (((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0)) <=> ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 40.46/26.93 inference(rewrite,[status(thm)],[])).
% 40.46/26.93 tff(26028,plain,
% 40.46/26.93 (((~![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))))),
% 40.46/26.93 inference(monotonicity,[status(thm)],[26027])).
% 40.46/26.93 tff(26029,plain,
% 40.46/26.93 (((~![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)))),
% 40.46/26.94 inference(transitivity,[status(thm)],[26028, 26026])).
% 40.46/26.94 tff(26030,plain,
% 40.46/26.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26031,plain,
% 40.46/26.94 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26030, 26029])).
% 40.46/26.94 tff(26032,plain,
% 40.46/26.94 ((~v90(constB188, bitIndex0)) | (~v100(constB188))),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26031, 977, 26025])).
% 40.46/26.94 tff(26033,plain,
% 40.46/26.94 (~v90(constB188, bitIndex0)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26032, 25921])).
% 40.46/26.94 tff(26034,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26035,plain,
% 40.46/26.94 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))) <=> (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26036,plain,
% 40.46/26.94 (((~![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))))),
% 40.46/26.94 inference(monotonicity,[status(thm)],[26035])).
% 40.46/26.94 tff(26037,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(transitivity,[status(thm)],[26036, 26034])).
% 40.46/26.94 tff(26038,plain,
% 40.46/26.94 ((~![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)))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26039,plain,
% 40.46/26.94 ((~![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))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26038, 26037])).
% 40.46/26.94 tff(26040,plain,
% 40.46/26.94 (v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26039, 207, 25953])).
% 40.46/26.94 tff(26041,plain,
% 40.46/26.94 (v90(constB188, bitIndex0) | (~v90(constB189, bitIndex0))),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26040, 25965])).
% 40.46/26.94 tff(26042,plain,
% 40.46/26.94 (~v90(constB189, bitIndex0)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26041, 26033])).
% 40.46/26.94 tff(26043,plain,
% 40.46/26.94 (((~![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))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26044,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26045,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26044, 26043])).
% 40.46/26.94 tff(26046,plain,
% 40.46/26.94 (v123(constB189)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26045, 1280, 26042, 26008, 25974])).
% 40.46/26.94 tff(26047,plain,
% 40.46/26.94 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB189) | (~v123(constB189)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB189) | (~v123(constB189)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26048,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB189) | (~v123(constB189)))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26049,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB189) | (~v123(constB189))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26048, 26047])).
% 40.46/26.94 tff(26050,plain,
% 40.46/26.94 (v115(constB189)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26049, 1247, 26046])).
% 40.46/26.94 tff(26051,plain,
% 40.46/26.94 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26052,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26053,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26052, 26051])).
% 40.46/26.94 tff(26054,plain,
% 40.46/26.94 (v114(constB189)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26053, 283, 26050])).
% 40.46/26.94 tff(26055,plain,
% 40.46/26.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26056,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26057,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26056, 26055])).
% 40.46/26.94 tff(26058,plain,
% 40.46/26.94 (v113(constB189)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26057, 294, 26054])).
% 40.46/26.94 tff(26059,assumption,(v26(constB189)), introduced(assumption)).
% 40.46/26.94 tff(26060,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26061,plain,
% 40.46/26.94 ($false),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26060, 86, 26059])).
% 40.46/26.94 tff(26062,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.94 tff(26063,plain,
% 40.46/26.94 (((~![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))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26064,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26065,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26064, 26063])).
% 40.46/26.94 tff(26066,plain,
% 40.46/26.94 ((~v113(constB189)) | v112(constB189)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26065, 308, 26062])).
% 40.46/26.94 tff(26067,plain,
% 40.46/26.94 (v112(constB189)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26066, 26058])).
% 40.46/26.94 tff(26068,plain,
% 40.46/26.94 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26069,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26070,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26069, 26068])).
% 40.46/26.94 tff(26071,plain,
% 40.46/26.94 (v108(constB189)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26070, 320, 26067])).
% 40.46/26.94 tff(26072,plain,
% 40.46/26.94 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26073,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 40.46/26.94 tff(26074,plain,
% 40.46/26.94 (nextState(constB189, constB190)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26073, 26072])).
% 40.46/26.94 tff(26075,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26076,plain,
% 40.46/26.94 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26077,plain,
% 40.46/26.94 (((~![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))))),
% 40.46/26.94 inference(monotonicity,[status(thm)],[26076])).
% 40.46/26.94 tff(26078,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(transitivity,[status(thm)],[26077, 26075])).
% 40.46/26.94 tff(26079,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26080,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26079, 26078])).
% 40.46/26.94 tff(26081,plain,
% 40.46/26.94 (v110(constB190) | (~v108(constB189))),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26080, 337, 26074])).
% 40.46/26.94 tff(26082,plain,
% 40.46/26.94 (v110(constB190)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26081, 26071])).
% 40.46/26.94 tff(26083,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26084,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26085,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26084, 26083])).
% 40.46/26.94 tff(26086,plain,
% 40.46/26.94 (~v104(constB190)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26085, 355, 26074, 25950])).
% 40.46/26.94 tff(26087,plain,
% 40.46/26.94 (((~![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))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26088,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26089,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26088, 26087])).
% 40.46/26.94 tff(26090,plain,
% 40.46/26.94 (v102(constB190) | v104(constB190)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26089, 369, 26074])).
% 40.46/26.94 tff(26091,plain,
% 40.46/26.94 (v102(constB190)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26090, 26086])).
% 40.46/26.94 tff(26092,plain,
% 40.46/26.94 (v1(constB190) <=> v1(constB190)),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26093,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 40.46/26.94 tff(26094,plain,
% 40.46/26.94 (v1(constB190)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26093, 26092])).
% 40.46/26.94 tff(26095,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26096,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26097,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26096, 26095])).
% 40.46/26.94 tff(26098,plain,
% 40.46/26.94 (v101(constB190) | (~v102(constB190))),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26097, 387, 26074, 26094])).
% 40.46/26.94 tff(26099,plain,
% 40.46/26.94 (v101(constB190)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26098, 26091])).
% 40.46/26.94 tff(26100,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26101,plain,
% 40.46/26.94 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26102,plain,
% 40.46/26.94 (((~![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))))),
% 40.46/26.94 inference(monotonicity,[status(thm)],[26101])).
% 40.46/26.94 tff(26103,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(transitivity,[status(thm)],[26102, 26100])).
% 40.46/26.94 tff(26104,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26105,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26104, 26103])).
% 40.46/26.94 tff(26106,plain,
% 40.46/26.94 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26105, 402, 26074])).
% 40.46/26.94 tff(26107,plain,
% 40.46/26.94 (v100(constB190) | (~v110(constB190))),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26106, 26099])).
% 40.46/26.94 tff(26108,plain,
% 40.46/26.94 (v100(constB190)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26107, 26082])).
% 40.46/26.94 tff(26109,plain,
% 40.46/26.94 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB189)) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB189)) | v130(constB189, bitIndex2))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26110,plain,
% 40.46/26.94 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB189)) | v130(constB189, bitIndex2))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26111,plain,
% 40.46/26.94 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB189)) | v130(constB189, bitIndex2)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 40.46/26.94 tff(26112,plain,
% 40.46/26.94 (v130(constB189, bitIndex2)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26111, 2165, 26046])).
% 40.46/26.94 tff(26113,plain,
% 40.46/26.94 (((~![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))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26114,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26115,plain,
% 40.46/26.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26114, 26113])).
% 40.46/26.94 tff(26116,plain,
% 40.46/26.94 ((~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26115, 1821, 26062])).
% 40.46/26.94 tff(26117,plain,
% 40.46/26.94 (v127(constB189, bitIndex2)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26116, 26112])).
% 40.46/26.94 tff(26118,plain,
% 40.46/26.94 (((~![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))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26119,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26120,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26119, 26118])).
% 40.46/26.94 tff(26121,plain,
% 40.46/26.94 ((~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26120, 1836, 26074])).
% 40.46/26.94 tff(26122,plain,
% 40.46/26.94 (v129(constB190, bitIndex2)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26121, 26117])).
% 40.46/26.94 tff(26123,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26124,plain,
% 40.46/26.94 ((v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2))) <=> (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26125,plain,
% 40.46/26.94 (((~![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))))),
% 40.46/26.94 inference(monotonicity,[status(thm)],[26124])).
% 40.46/26.94 tff(26126,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(transitivity,[status(thm)],[26125, 26123])).
% 40.46/26.94 tff(26127,plain,
% 40.46/26.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26128,plain,
% 40.46/26.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26127, 26126])).
% 40.46/26.94 tff(26129,plain,
% 40.46/26.94 (v90(constB190, bitIndex2) | (~v100(constB190))),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26128, 2100, 26122])).
% 40.46/26.94 tff(26130,plain,
% 40.46/26.94 (v90(constB190, bitIndex2)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26129, 26108])).
% 40.46/26.94 tff(26131,plain,
% 40.46/26.94 ((~v1(constB191)) <=> (~v1(constB191))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26132,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 40.46/26.94 tff(26133,plain,
% 40.46/26.94 (~v1(constB191)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26132, 26131])).
% 40.46/26.94 tff(26134,plain,
% 40.46/26.94 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26135,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 40.46/26.94 tff(26136,plain,
% 40.46/26.94 (nextState(constB190, constB191)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26135, 26134])).
% 40.46/26.94 tff(26137,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26138,plain,
% 40.46/26.94 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26139,plain,
% 40.46/26.94 (((~![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))))),
% 40.46/26.94 inference(monotonicity,[status(thm)],[26138])).
% 40.46/26.94 tff(26140,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(transitivity,[status(thm)],[26139, 26137])).
% 40.46/26.94 tff(26141,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26142,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26141, 26140])).
% 40.46/26.94 tff(26143,plain,
% 40.46/26.94 (~v101(constB191)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26142, 133, 26136, 26133])).
% 40.46/26.94 tff(26144,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26145,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26146,plain,
% 40.46/26.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26145, 26144])).
% 40.46/26.94 tff(26147,plain,
% 40.46/26.94 (v101(constB191) | (~v100(constB191))),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26146, 150, 26136])).
% 40.46/26.94 tff(26148,plain,
% 40.46/26.94 (~v100(constB191)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26147, 26143])).
% 40.46/26.94 tff(26149,plain,
% 40.46/26.94 (((~![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))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26150,plain,
% 40.46/26.94 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2)) <=> ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26151,plain,
% 40.46/26.94 (((~![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)))),
% 40.46/26.94 inference(monotonicity,[status(thm)],[26150])).
% 40.46/26.94 tff(26152,plain,
% 40.46/26.94 (((~![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))),
% 40.46/26.94 inference(transitivity,[status(thm)],[26151, 26149])).
% 40.46/26.94 tff(26153,plain,
% 40.46/26.94 ((~![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))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26154,plain,
% 40.46/26.94 ((~![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)),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26153, 26152])).
% 40.46/26.94 tff(26155,plain,
% 40.46/26.94 ((~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26154, 2118, 26136])).
% 40.46/26.94 tff(26156,plain,
% 40.46/26.94 ((~v90(constB190, bitIndex2)) | v90(constB191, bitIndex2)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26155, 26148])).
% 40.46/26.94 tff(26157,plain,
% 40.46/26.94 (v90(constB191, bitIndex2)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26156, 26130])).
% 40.46/26.94 tff(26158,plain,
% 40.46/26.94 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB189)) | (~v130(constB189, bitIndex1)))),
% 40.46/26.94 inference(rewrite,[status(thm)],[])).
% 40.46/26.94 tff(26159,plain,
% 40.46/26.94 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex1)))),
% 40.46/26.94 inference(quant_inst,[status(thm)],[])).
% 40.46/26.94 tff(26160,plain,
% 40.46/26.94 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB189)) | (~v130(constB189, bitIndex1))),
% 40.46/26.94 inference(modus_ponens,[status(thm)],[26159, 26158])).
% 40.46/26.94 tff(26161,plain,
% 40.46/26.94 (~v130(constB189, bitIndex1)),
% 40.46/26.94 inference(unit_resolution,[status(thm)],[26160, 1579, 26046])).
% 40.46/26.94 tff(26162,plain,
% 40.46/26.94 (((~![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))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26163,plain,
% 40.46/26.95 ((v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1))) <=> ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26164,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(monotonicity,[status(thm)],[26163])).
% 40.46/26.95 tff(26165,plain,
% 40.46/26.95 (((~![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))),
% 40.46/26.95 inference(transitivity,[status(thm)],[26164, 26162])).
% 40.46/26.95 tff(26166,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26167,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26166, 26165])).
% 40.46/26.95 tff(26168,plain,
% 40.46/26.95 ((~v127(constB189, bitIndex1)) | v130(constB189, bitIndex1)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26167, 527, 26062])).
% 40.46/26.95 tff(26169,plain,
% 40.46/26.95 (~v127(constB189, bitIndex1)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26168, 26161])).
% 40.46/26.95 tff(26170,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26171,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26172,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26171, 26170])).
% 40.46/26.95 tff(26173,plain,
% 40.46/26.95 (v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26172, 545, 26074])).
% 40.46/26.95 tff(26174,plain,
% 40.46/26.95 (~v129(constB190, bitIndex1)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26173, 26169])).
% 40.46/26.95 tff(26175,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26176,plain,
% 40.46/26.95 (((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1)) <=> ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26177,plain,
% 40.46/26.95 (((~![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))))),
% 40.46/26.95 inference(monotonicity,[status(thm)],[26176])).
% 40.46/26.95 tff(26178,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(transitivity,[status(thm)],[26177, 26175])).
% 40.46/26.95 tff(26179,plain,
% 40.46/26.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26180,plain,
% 40.46/26.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26179, 26178])).
% 40.46/26.95 tff(26181,plain,
% 40.46/26.95 ((~v90(constB190, bitIndex1)) | (~v100(constB190))),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26180, 560, 26174])).
% 40.46/26.95 tff(26182,plain,
% 40.46/26.95 (~v90(constB190, bitIndex1)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26181, 26108])).
% 40.46/26.95 tff(26183,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26184,plain,
% 40.46/26.95 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))) <=> (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26185,plain,
% 40.46/26.95 (((~![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))))),
% 40.46/26.95 inference(monotonicity,[status(thm)],[26184])).
% 40.46/26.95 tff(26186,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(transitivity,[status(thm)],[26185, 26183])).
% 40.46/26.95 tff(26187,plain,
% 40.46/26.95 ((~![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)))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26188,plain,
% 40.46/26.95 ((~![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))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26187, 26186])).
% 40.46/26.95 tff(26189,plain,
% 40.46/26.95 (v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26188, 186, 26136])).
% 40.46/26.95 tff(26190,plain,
% 40.46/26.95 (v90(constB190, bitIndex1) | (~v90(constB191, bitIndex1))),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26189, 26148])).
% 40.46/26.95 tff(26191,plain,
% 40.46/26.95 (~v90(constB191, bitIndex1)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26190, 26182])).
% 40.46/26.95 tff(26192,plain,
% 40.46/26.95 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB189)) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB189)) | v130(constB189, bitIndex0))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26193,plain,
% 40.46/26.95 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB189)) | v130(constB189, bitIndex0))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26194,plain,
% 40.46/26.95 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB189)) | v130(constB189, bitIndex0)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26193, 26192])).
% 40.46/26.95 tff(26195,plain,
% 40.46/26.95 (v130(constB189, bitIndex0)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26194, 2258, 26046])).
% 40.46/26.95 tff(26196,plain,
% 40.46/26.95 (((~![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))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26197,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26198,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26197, 26196])).
% 40.46/26.95 tff(26199,plain,
% 40.46/26.95 ((~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26198, 601, 26062])).
% 40.46/26.95 tff(26200,plain,
% 40.46/26.95 (v127(constB189, bitIndex0)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26199, 26195])).
% 40.46/26.95 tff(26201,plain,
% 40.46/26.95 (((~![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))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26202,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26203,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26202, 26201])).
% 40.46/26.95 tff(26204,plain,
% 40.46/26.95 ((~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26203, 616, 26074])).
% 40.46/26.95 tff(26205,plain,
% 40.46/26.95 (v129(constB190, bitIndex0)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26204, 26200])).
% 40.46/26.95 tff(26206,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26207,plain,
% 40.46/26.95 ((v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0))) <=> (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26208,plain,
% 40.46/26.95 (((~![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))))),
% 40.46/26.95 inference(monotonicity,[status(thm)],[26207])).
% 40.46/26.95 tff(26209,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(transitivity,[status(thm)],[26208, 26206])).
% 40.46/26.95 tff(26210,plain,
% 40.46/26.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26211,plain,
% 40.46/26.95 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26210, 26209])).
% 40.46/26.95 tff(26212,plain,
% 40.46/26.95 (v90(constB190, bitIndex0) | (~v100(constB190))),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26211, 631, 26205])).
% 40.46/26.95 tff(26213,plain,
% 40.46/26.95 (v90(constB190, bitIndex0)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26212, 26108])).
% 40.46/26.95 tff(26214,plain,
% 40.46/26.95 (((~![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))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26215,plain,
% 40.46/26.95 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)) <=> ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26216,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(monotonicity,[status(thm)],[26215])).
% 40.46/26.95 tff(26217,plain,
% 40.46/26.95 (((~![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))),
% 40.46/26.95 inference(transitivity,[status(thm)],[26216, 26214])).
% 40.46/26.95 tff(26218,plain,
% 40.46/26.95 ((~![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))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26219,plain,
% 40.46/26.95 ((~![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)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26218, 26217])).
% 40.46/26.95 tff(26220,plain,
% 40.46/26.95 ((~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26219, 649, 26136])).
% 40.46/26.95 tff(26221,plain,
% 40.46/26.95 ((~v90(constB190, bitIndex0)) | v90(constB191, bitIndex0)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26220, 26148])).
% 40.46/26.95 tff(26222,plain,
% 40.46/26.95 (v90(constB191, bitIndex0)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26221, 26213])).
% 40.46/26.95 tff(26223,plain,
% 40.46/26.95 (((~![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))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26224,plain,
% 40.46/26.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26225,plain,
% 40.46/26.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26224, 26223])).
% 40.46/26.95 tff(26226,plain,
% 40.46/26.95 (v124(constB191)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26225, 1264, 26222, 26191, 26157])).
% 40.46/26.95 tff(26227,plain,
% 40.46/26.95 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB191) | (~v124(constB191)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB191) | (~v124(constB191)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26228,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB191) | (~v124(constB191)))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26229,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB191) | (~v124(constB191))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26228, 26227])).
% 40.46/26.95 tff(26230,plain,
% 40.46/26.95 (v114(constB191)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26229, 1236, 26226])).
% 40.46/26.95 tff(26231,plain,
% 40.46/26.95 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB191) | (~v114(constB191)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB191) | (~v114(constB191)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26232,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB191) | (~v114(constB191)))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26233,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB191) | (~v114(constB191))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26232, 26231])).
% 40.46/26.95 tff(26234,plain,
% 40.46/26.95 (v113(constB191)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26233, 294, 26230])).
% 40.46/26.95 tff(26235,assumption,(v26(constB191)), introduced(assumption)).
% 40.46/26.95 tff(26236,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26237,plain,
% 40.46/26.95 ($false),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26236, 86, 26235])).
% 40.46/26.95 tff(26238,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.95 tff(26239,plain,
% 40.46/26.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26240,plain,
% 40.46/26.95 ((v26(constB191) | (~v113(constB191)) | v112(constB191)) <=> (v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26241,plain,
% 40.46/26.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191))))),
% 40.46/26.95 inference(monotonicity,[status(thm)],[26240])).
% 40.46/26.95 tff(26242,plain,
% 40.46/26.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 40.46/26.95 inference(transitivity,[status(thm)],[26241, 26239])).
% 40.46/26.95 tff(26243,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26244,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26243, 26242])).
% 40.46/26.95 tff(26245,plain,
% 40.46/26.95 (v112(constB191) | (~v113(constB191))),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26244, 308, 26238])).
% 40.46/26.95 tff(26246,plain,
% 40.46/26.95 (v112(constB191)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26245, 26234])).
% 40.46/26.95 tff(26247,plain,
% 40.46/26.95 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB191) | (~v112(constB191)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26248,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB191) | (~v112(constB191)))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26249,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB191) | (~v112(constB191))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26248, 26247])).
% 40.46/26.95 tff(26250,plain,
% 40.46/26.95 (v108(constB191)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26249, 320, 26246])).
% 40.46/26.95 tff(26251,plain,
% 40.46/26.95 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26252,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 40.46/26.95 tff(26253,plain,
% 40.46/26.95 (nextState(constB191, constB192)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26252, 26251])).
% 40.46/26.95 tff(26254,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26255,plain,
% 40.46/26.95 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26256,plain,
% 40.46/26.95 (((~![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))))),
% 40.46/26.95 inference(monotonicity,[status(thm)],[26255])).
% 40.46/26.95 tff(26257,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(transitivity,[status(thm)],[26256, 26254])).
% 40.46/26.95 tff(26258,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26259,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26258, 26257])).
% 40.46/26.95 tff(26260,plain,
% 40.46/26.95 (v110(constB192) | (~v108(constB191))),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26259, 337, 26253])).
% 40.46/26.95 tff(26261,plain,
% 40.46/26.95 (v110(constB192)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26260, 26250])).
% 40.46/26.95 tff(26262,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26263,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26264,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26263, 26262])).
% 40.46/26.95 tff(26265,plain,
% 40.46/26.95 (~v104(constB192)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26264, 355, 26253, 26133])).
% 40.46/26.95 tff(26266,plain,
% 40.46/26.95 (((~![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))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26267,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26268,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26267, 26266])).
% 40.46/26.95 tff(26269,plain,
% 40.46/26.95 (v102(constB192) | v104(constB192)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26268, 369, 26253])).
% 40.46/26.95 tff(26270,plain,
% 40.46/26.95 (v102(constB192)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26269, 26265])).
% 40.46/26.95 tff(26271,plain,
% 40.46/26.95 (v1(constB192) <=> v1(constB192)),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26272,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 40.46/26.95 tff(26273,plain,
% 40.46/26.95 (v1(constB192)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26272, 26271])).
% 40.46/26.95 tff(26274,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26275,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26276,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26275, 26274])).
% 40.46/26.95 tff(26277,plain,
% 40.46/26.95 (v101(constB192) | (~v102(constB192))),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26276, 387, 26253, 26273])).
% 40.46/26.95 tff(26278,plain,
% 40.46/26.95 (v101(constB192)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26277, 26270])).
% 40.46/26.95 tff(26279,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26280,plain,
% 40.46/26.95 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26281,plain,
% 40.46/26.95 (((~![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))))),
% 40.46/26.95 inference(monotonicity,[status(thm)],[26280])).
% 40.46/26.95 tff(26282,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(transitivity,[status(thm)],[26281, 26279])).
% 40.46/26.95 tff(26283,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26284,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26283, 26282])).
% 40.46/26.95 tff(26285,plain,
% 40.46/26.95 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26284, 402, 26253])).
% 40.46/26.95 tff(26286,plain,
% 40.46/26.95 (v100(constB192) | (~v110(constB192))),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26285, 26278])).
% 40.46/26.95 tff(26287,plain,
% 40.46/26.95 (v100(constB192)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26286, 26261])).
% 40.46/26.95 tff(26288,plain,
% 40.46/26.95 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB191)) | v130(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB191)) | v130(constB191, bitIndex2))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26289,plain,
% 40.46/26.95 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB191)) | v130(constB191, bitIndex2))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26290,plain,
% 40.46/26.95 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB191)) | v130(constB191, bitIndex2)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26289, 26288])).
% 40.46/26.95 tff(26291,plain,
% 40.46/26.95 (v130(constB191, bitIndex2)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26290, 2303, 26226])).
% 40.46/26.95 tff(26292,plain,
% 40.46/26.95 (((~![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))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26293,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26294,plain,
% 40.46/26.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26293, 26292])).
% 40.46/26.95 tff(26295,plain,
% 40.46/26.95 ((~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26294, 1821, 26238])).
% 40.46/26.95 tff(26296,plain,
% 40.46/26.95 (v127(constB191, bitIndex2)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26295, 26291])).
% 40.46/26.95 tff(26297,plain,
% 40.46/26.95 (((~![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))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26298,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 40.46/26.95 inference(quant_inst,[status(thm)],[])).
% 40.46/26.95 tff(26299,plain,
% 40.46/26.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 40.46/26.95 inference(modus_ponens,[status(thm)],[26298, 26297])).
% 40.46/26.95 tff(26300,plain,
% 40.46/26.95 ((~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26299, 1836, 26253])).
% 40.46/26.95 tff(26301,plain,
% 40.46/26.95 (v129(constB192, bitIndex2)),
% 40.46/26.95 inference(unit_resolution,[status(thm)],[26300, 26296])).
% 40.46/26.95 tff(26302,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26303,plain,
% 40.46/26.95 ((v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2))) <=> (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 40.46/26.95 inference(rewrite,[status(thm)],[])).
% 40.46/26.95 tff(26304,plain,
% 40.46/26.95 (((~![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))))),
% 40.46/26.95 inference(monotonicity,[status(thm)],[26303])).
% 40.46/26.95 tff(26305,plain,
% 40.46/26.95 (((~![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)))),
% 40.46/26.96 inference(transitivity,[status(thm)],[26304, 26302])).
% 40.46/26.96 tff(26306,plain,
% 40.46/26.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26307,plain,
% 40.46/26.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26306, 26305])).
% 40.46/26.96 tff(26308,plain,
% 40.46/26.96 (v90(constB192, bitIndex2) | (~v100(constB192))),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26307, 2100, 26301])).
% 40.46/26.96 tff(26309,plain,
% 40.46/26.96 (v90(constB192, bitIndex2)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26308, 26287])).
% 40.46/26.96 tff(26310,plain,
% 40.46/26.96 ((~v1(constB193)) <=> (~v1(constB193))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26311,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 40.46/26.96 tff(26312,plain,
% 40.46/26.96 (~v1(constB193)),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26311, 26310])).
% 40.46/26.96 tff(26313,plain,
% 40.46/26.96 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26314,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 40.46/26.96 tff(26315,plain,
% 40.46/26.96 (nextState(constB192, constB193)),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26314, 26313])).
% 40.46/26.96 tff(26316,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26317,plain,
% 40.46/26.96 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26318,plain,
% 40.46/26.96 (((~![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))))),
% 40.46/26.96 inference(monotonicity,[status(thm)],[26317])).
% 40.46/26.96 tff(26319,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(transitivity,[status(thm)],[26318, 26316])).
% 40.46/26.96 tff(26320,plain,
% 40.46/26.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26321,plain,
% 40.46/26.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26320, 26319])).
% 40.46/26.96 tff(26322,plain,
% 40.46/26.96 (~v101(constB193)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26321, 133, 26315, 26312])).
% 40.46/26.96 tff(26323,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26324,plain,
% 40.46/26.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26325,plain,
% 40.46/26.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26324, 26323])).
% 40.46/26.96 tff(26326,plain,
% 40.46/26.96 (v101(constB193) | (~v100(constB193))),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26325, 150, 26315])).
% 40.46/26.96 tff(26327,plain,
% 40.46/26.96 (~v100(constB193)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26326, 26322])).
% 40.46/26.96 tff(26328,plain,
% 40.46/26.96 (((~![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))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26329,plain,
% 40.46/26.96 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)) <=> ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26330,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(monotonicity,[status(thm)],[26329])).
% 40.46/26.96 tff(26331,plain,
% 40.46/26.96 (((~![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))),
% 40.46/26.96 inference(transitivity,[status(thm)],[26330, 26328])).
% 40.46/26.96 tff(26332,plain,
% 40.46/26.96 ((~![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))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26333,plain,
% 40.46/26.96 ((~![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)),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26332, 26331])).
% 40.46/26.96 tff(26334,plain,
% 40.46/26.96 ((~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26333, 2118, 26315])).
% 40.46/26.96 tff(26335,plain,
% 40.46/26.96 ((~v90(constB192, bitIndex2)) | v90(constB193, bitIndex2)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26334, 26327])).
% 40.46/26.96 tff(26336,plain,
% 40.46/26.96 (v90(constB193, bitIndex2)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26335, 26309])).
% 40.46/26.96 tff(26337,plain,
% 40.46/26.96 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB191)) | v130(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB191)) | v130(constB191, bitIndex1))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26338,plain,
% 40.46/26.96 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB191)) | v130(constB191, bitIndex1))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26339,plain,
% 40.46/26.96 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB191)) | v130(constB191, bitIndex1)),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26338, 26337])).
% 40.46/26.96 tff(26340,plain,
% 40.46/26.96 (v130(constB191, bitIndex1)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26339, 2347, 26226])).
% 40.46/26.96 tff(26341,plain,
% 40.46/26.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26342,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26343,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1)),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26342, 26341])).
% 40.46/26.96 tff(26344,plain,
% 40.46/26.96 ((~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26343, 882, 26238])).
% 40.46/26.96 tff(26345,plain,
% 40.46/26.96 (v127(constB191, bitIndex1)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26344, 26340])).
% 40.46/26.96 tff(26346,plain,
% 40.46/26.96 (((~![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))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26347,plain,
% 40.46/26.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26348,plain,
% 40.46/26.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1)),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26347, 26346])).
% 40.46/26.96 tff(26349,plain,
% 40.46/26.96 ((~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26348, 897, 26253])).
% 40.46/26.96 tff(26350,plain,
% 40.46/26.96 (v129(constB192, bitIndex1)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26349, 26345])).
% 40.46/26.96 tff(26351,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26352,plain,
% 40.46/26.96 ((v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1))) <=> (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26353,plain,
% 40.46/26.96 (((~![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))))),
% 40.46/26.96 inference(monotonicity,[status(thm)],[26352])).
% 40.46/26.96 tff(26354,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(transitivity,[status(thm)],[26353, 26351])).
% 40.46/26.96 tff(26355,plain,
% 40.46/26.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26356,plain,
% 40.46/26.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26355, 26354])).
% 40.46/26.96 tff(26357,plain,
% 40.46/26.96 (v90(constB192, bitIndex1) | (~v100(constB192))),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26356, 912, 26350])).
% 40.46/26.96 tff(26358,plain,
% 40.46/26.96 (v90(constB192, bitIndex1)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26357, 26287])).
% 40.46/26.96 tff(26359,plain,
% 40.46/26.96 (((~![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))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26360,plain,
% 40.46/26.96 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)) <=> ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26361,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(monotonicity,[status(thm)],[26360])).
% 40.46/26.96 tff(26362,plain,
% 40.46/26.96 (((~![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))),
% 40.46/26.96 inference(transitivity,[status(thm)],[26361, 26359])).
% 40.46/26.96 tff(26363,plain,
% 40.46/26.96 ((~![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))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26364,plain,
% 40.46/26.96 ((~![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)),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26363, 26362])).
% 40.46/26.96 tff(26365,plain,
% 40.46/26.96 ((~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26364, 1049, 26315])).
% 40.46/26.96 tff(26366,plain,
% 40.46/26.96 ((~v90(constB192, bitIndex1)) | v90(constB193, bitIndex1)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26365, 26327])).
% 40.46/26.96 tff(26367,plain,
% 40.46/26.96 (v90(constB193, bitIndex1)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26366, 26358])).
% 40.46/26.96 tff(26368,plain,
% 40.46/26.96 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB191)) | (~v130(constB191, bitIndex0)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26369,plain,
% 40.46/26.96 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex0)))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26370,plain,
% 40.46/26.96 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB191)) | (~v130(constB191, bitIndex0))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26369, 26368])).
% 40.46/26.96 tff(26371,plain,
% 40.46/26.96 (~v130(constB191, bitIndex0)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26370, 1519, 26226])).
% 40.46/26.96 tff(26372,plain,
% 40.46/26.96 (((~![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))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26373,plain,
% 40.46/26.96 ((v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0))) <=> ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26374,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(monotonicity,[status(thm)],[26373])).
% 40.46/26.96 tff(26375,plain,
% 40.46/26.96 (((~![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))),
% 40.46/26.96 inference(transitivity,[status(thm)],[26374, 26372])).
% 40.46/26.96 tff(26376,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26377,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26376, 26375])).
% 40.46/26.96 tff(26378,plain,
% 40.46/26.96 ((~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26377, 944, 26238])).
% 40.46/26.96 tff(26379,plain,
% 40.46/26.96 (~v127(constB191, bitIndex0)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26378, 26371])).
% 40.46/26.96 tff(26380,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26381,plain,
% 40.46/26.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26382,plain,
% 40.46/26.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26381, 26380])).
% 40.46/26.96 tff(26383,plain,
% 40.46/26.96 (v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26382, 962, 26253])).
% 40.46/26.96 tff(26384,plain,
% 40.46/26.96 (~v129(constB192, bitIndex0)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26383, 26379])).
% 40.46/26.96 tff(26385,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26386,plain,
% 40.46/26.96 (((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0)) <=> ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26387,plain,
% 40.46/26.96 (((~![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))))),
% 40.46/26.96 inference(monotonicity,[status(thm)],[26386])).
% 40.46/26.96 tff(26388,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(transitivity,[status(thm)],[26387, 26385])).
% 40.46/26.96 tff(26389,plain,
% 40.46/26.96 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26390,plain,
% 40.46/26.96 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26389, 26388])).
% 40.46/26.96 tff(26391,plain,
% 40.46/26.96 ((~v90(constB192, bitIndex0)) | (~v100(constB192))),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26390, 977, 26384])).
% 40.46/26.96 tff(26392,plain,
% 40.46/26.96 (~v90(constB192, bitIndex0)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26391, 26287])).
% 40.46/26.96 tff(26393,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26394,plain,
% 40.46/26.96 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))) <=> (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26395,plain,
% 40.46/26.96 (((~![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))))),
% 40.46/26.96 inference(monotonicity,[status(thm)],[26394])).
% 40.46/26.96 tff(26396,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(transitivity,[status(thm)],[26395, 26393])).
% 40.46/26.96 tff(26397,plain,
% 40.46/26.96 ((~![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)))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26398,plain,
% 40.46/26.96 ((~![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))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26397, 26396])).
% 40.46/26.96 tff(26399,plain,
% 40.46/26.96 (v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26398, 207, 26315])).
% 40.46/26.96 tff(26400,plain,
% 40.46/26.96 (v90(constB192, bitIndex0) | (~v90(constB193, bitIndex0))),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26399, 26327])).
% 40.46/26.96 tff(26401,plain,
% 40.46/26.96 (~v90(constB193, bitIndex0)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26400, 26392])).
% 40.46/26.96 tff(26402,plain,
% 40.46/26.96 (((~![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))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26403,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26404,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193)),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26403, 26402])).
% 40.46/26.96 tff(26405,plain,
% 40.46/26.96 (v125(constB193)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26404, 1308, 26401, 26367, 26336])).
% 40.46/26.96 tff(26406,plain,
% 40.46/26.96 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB193) | (~v125(constB193)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB193) | (~v125(constB193)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26407,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB193) | (~v125(constB193)))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26408,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB193) | (~v125(constB193))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26407, 26406])).
% 40.46/26.96 tff(26409,plain,
% 40.46/26.96 (v113(constB193)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26408, 1294, 26405])).
% 40.46/26.96 tff(26410,assumption,(v26(constB193)), introduced(assumption)).
% 40.46/26.96 tff(26411,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB193))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26412,plain,
% 40.46/26.96 ($false),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26411, 86, 26410])).
% 40.46/26.96 tff(26413,plain,(~v26(constB193)), inference(lemma,lemma(discharge,[]))).
% 40.46/26.96 tff(26414,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26415,plain,
% 40.46/26.96 ((v26(constB193) | (~v113(constB193)) | v112(constB193)) <=> (v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26416,plain,
% 40.46/26.96 (((~![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))))),
% 40.46/26.96 inference(monotonicity,[status(thm)],[26415])).
% 40.46/26.96 tff(26417,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(transitivity,[status(thm)],[26416, 26414])).
% 40.46/26.96 tff(26418,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26419,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26418, 26417])).
% 40.46/26.96 tff(26420,plain,
% 40.46/26.96 (v112(constB193) | (~v113(constB193))),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26419, 308, 26413])).
% 40.46/26.96 tff(26421,plain,
% 40.46/26.96 (v112(constB193)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26420, 26409])).
% 40.46/26.96 tff(26422,plain,
% 40.46/26.96 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB193) | (~v112(constB193)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB193) | (~v112(constB193)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26423,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB193) | (~v112(constB193)))),
% 40.46/26.96 inference(quant_inst,[status(thm)],[])).
% 40.46/26.96 tff(26424,plain,
% 40.46/26.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB193) | (~v112(constB193))),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26423, 26422])).
% 40.46/26.96 tff(26425,plain,
% 40.46/26.96 (v108(constB193)),
% 40.46/26.96 inference(unit_resolution,[status(thm)],[26424, 320, 26421])).
% 40.46/26.96 tff(26426,plain,
% 40.46/26.96 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26427,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 40.46/26.96 tff(26428,plain,
% 40.46/26.96 (nextState(constB193, constB194)),
% 40.46/26.96 inference(modus_ponens,[status(thm)],[26427, 26426])).
% 40.46/26.96 tff(26429,plain,
% 40.46/26.96 (((~![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)))),
% 40.46/26.96 inference(rewrite,[status(thm)],[])).
% 40.46/26.96 tff(26430,plain,
% 40.46/26.96 (((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194)) <=> ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26431,plain,
% 40.46/26.97 (((~![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))))),
% 40.46/26.97 inference(monotonicity,[status(thm)],[26430])).
% 40.46/26.97 tff(26432,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(transitivity,[status(thm)],[26431, 26429])).
% 40.46/26.97 tff(26433,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26434,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26433, 26432])).
% 40.46/26.97 tff(26435,plain,
% 40.46/26.97 (v110(constB194) | (~v108(constB193))),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26434, 337, 26428])).
% 40.46/26.97 tff(26436,plain,
% 40.46/26.97 (v110(constB194)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26435, 26425])).
% 40.46/26.97 tff(26437,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26438,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26439,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26438, 26437])).
% 40.46/26.97 tff(26440,plain,
% 40.46/26.97 (~v104(constB194)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26439, 355, 26428, 26312])).
% 40.46/26.97 tff(26441,plain,
% 40.46/26.97 (((~![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))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26442,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26443,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194)),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26442, 26441])).
% 40.46/26.97 tff(26444,plain,
% 40.46/26.97 (v102(constB194) | v104(constB194)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26443, 369, 26428])).
% 40.46/26.97 tff(26445,plain,
% 40.46/26.97 (v102(constB194)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26444, 26440])).
% 40.46/26.97 tff(26446,plain,
% 40.46/26.97 (v1(constB194) <=> v1(constB194)),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26447,axiom,(v1(constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 40.46/26.97 tff(26448,plain,
% 40.46/26.97 (v1(constB194)),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26447, 26446])).
% 40.46/26.97 tff(26449,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26450,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26451,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26450, 26449])).
% 40.46/26.97 tff(26452,plain,
% 40.46/26.97 (v101(constB194) | (~v102(constB194))),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26451, 387, 26428, 26448])).
% 40.46/26.97 tff(26453,plain,
% 40.46/26.97 (v101(constB194)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26452, 26445])).
% 40.46/26.97 tff(26454,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26455,plain,
% 40.46/26.97 (((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194)) <=> ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26456,plain,
% 40.46/26.97 (((~![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))))),
% 40.46/26.97 inference(monotonicity,[status(thm)],[26455])).
% 40.46/26.97 tff(26457,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(transitivity,[status(thm)],[26456, 26454])).
% 40.46/26.97 tff(26458,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26459,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26458, 26457])).
% 40.46/26.97 tff(26460,plain,
% 40.46/26.97 (v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26459, 402, 26428])).
% 40.46/26.97 tff(26461,plain,
% 40.46/26.97 (v100(constB194) | (~v110(constB194))),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26460, 26453])).
% 40.46/26.97 tff(26462,plain,
% 40.46/26.97 (v100(constB194)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26461, 26436])).
% 40.46/26.97 tff(26463,plain,
% 40.46/26.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v121(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v121(constB193)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26464,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v121(constB193)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26465,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v121(constB193))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26464, 26463])).
% 40.46/26.97 tff(26466,plain,
% 40.46/26.97 (~v121(constB193)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26465, 2586, 26336])).
% 40.46/26.97 tff(26467,plain,
% 40.46/26.97 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB193)) | (~v90(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB193)) | (~v90(constB193, bitIndex1)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26468,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB193)) | (~v90(constB193, bitIndex1)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26469,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB193)) | (~v90(constB193, bitIndex1))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26468, 26467])).
% 40.46/26.97 tff(26470,plain,
% 40.46/26.97 (~v119(constB193)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26469, 2604, 26367])).
% 40.46/26.97 tff(26471,plain,
% 40.46/26.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v120(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v120(constB193)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26472,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v120(constB193)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26473,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v120(constB193))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26472, 26471])).
% 40.46/26.97 tff(26474,plain,
% 40.46/26.97 (~v120(constB193)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26473, 2615, 26367])).
% 40.46/26.97 tff(26475,plain,
% 40.46/26.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v123(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v123(constB193)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26476,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v123(constB193)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26477,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v123(constB193))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26476, 26475])).
% 40.46/26.97 tff(26478,plain,
% 40.46/26.97 (~v123(constB193)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26477, 2626, 26367])).
% 40.46/26.97 tff(26479,plain,
% 40.46/26.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v124(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v124(constB193)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26480,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v124(constB193)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26481,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v124(constB193))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26480, 26479])).
% 40.46/26.97 tff(26482,plain,
% 40.46/26.97 (~v124(constB193)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26481, 2637, 26367])).
% 40.46/26.97 tff(26483,plain,
% 40.46/26.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v122(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v122(constB193)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26484,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v122(constB193)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26485,plain,
% 40.46/26.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v122(constB193))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26484, 26483])).
% 40.46/26.97 tff(26486,plain,
% 40.46/26.97 (~v122(constB193)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26485, 3526, 26336])).
% 40.46/26.97 tff(26487,plain,
% 40.46/26.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex2)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26488,plain,
% 40.46/26.97 ((v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2))) <=> (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex2)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26489,plain,
% 40.46/26.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex2))))),
% 40.46/26.97 inference(monotonicity,[status(thm)],[26488])).
% 40.46/26.97 tff(26490,plain,
% 40.46/26.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex2)))),
% 40.46/26.97 inference(transitivity,[status(thm)],[26489, 26487])).
% 40.46/26.97 tff(26491,plain,
% 40.46/26.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26492,plain,
% 40.46/26.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex2))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26491, 26490])).
% 40.46/26.97 tff(26493,plain,
% 40.46/26.97 (~v130(constB193, bitIndex2)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26492, 1993, 26486, 26482, 26478, 26474, 26470, 26466])).
% 40.46/26.97 tff(26494,plain,
% 40.46/26.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26495,plain,
% 40.46/26.97 ((v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2))) <=> ((~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26496,plain,
% 40.46/26.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2)))),
% 40.46/26.97 inference(monotonicity,[status(thm)],[26495])).
% 40.46/26.97 tff(26497,plain,
% 40.46/26.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))),
% 40.46/26.97 inference(transitivity,[status(thm)],[26496, 26494])).
% 40.46/26.97 tff(26498,plain,
% 40.46/26.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26499,plain,
% 40.46/26.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2)),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26498, 26497])).
% 40.46/26.97 tff(26500,plain,
% 40.46/26.97 ((~v127(constB193, bitIndex2)) | v130(constB193, bitIndex2)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26499, 435, 26413])).
% 40.46/26.97 tff(26501,plain,
% 40.46/26.97 (~v127(constB193, bitIndex2)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26500, 26493])).
% 40.46/26.97 tff(26502,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26503,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26504,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26503, 26502])).
% 40.46/26.97 tff(26505,plain,
% 40.46/26.97 (v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2))),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26504, 453, 26428])).
% 40.46/26.97 tff(26506,plain,
% 40.46/26.97 (~v129(constB194, bitIndex2)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26505, 26501])).
% 40.46/26.97 tff(26507,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26508,plain,
% 40.46/26.97 (((~v90(constB194, bitIndex2)) | (~v100(constB194)) | v129(constB194, bitIndex2)) <=> ((~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26509,plain,
% 40.46/26.97 (((~![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))))),
% 40.46/26.97 inference(monotonicity,[status(thm)],[26508])).
% 40.46/26.97 tff(26510,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(transitivity,[status(thm)],[26509, 26507])).
% 40.46/26.97 tff(26511,plain,
% 40.46/26.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~v100(constB194)) | v129(constB194, bitIndex2))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26512,plain,
% 40.46/26.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26511, 26510])).
% 40.46/26.97 tff(26513,plain,
% 40.46/26.97 ((~v90(constB194, bitIndex2)) | (~v100(constB194))),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26512, 468, 26506])).
% 40.46/26.97 tff(26514,plain,
% 40.46/26.97 (~v90(constB194, bitIndex2)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26513, 26462])).
% 40.46/26.97 tff(26515,plain,
% 40.46/26.97 ((~v1(constB195)) <=> (~v1(constB195))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26516,axiom,(~v1(constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 40.46/26.97 tff(26517,plain,
% 40.46/26.97 (~v1(constB195)),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26516, 26515])).
% 40.46/26.97 tff(26518,plain,
% 40.46/26.97 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26519,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 40.46/26.97 tff(26520,plain,
% 40.46/26.97 (nextState(constB194, constB195)),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26519, 26518])).
% 40.46/26.97 tff(26521,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26522,plain,
% 40.46/26.97 (((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195)) <=> (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26523,plain,
% 40.46/26.97 (((~![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))))),
% 40.46/26.97 inference(monotonicity,[status(thm)],[26522])).
% 40.46/26.97 tff(26524,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(transitivity,[status(thm)],[26523, 26521])).
% 40.46/26.97 tff(26525,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26526,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26525, 26524])).
% 40.46/26.97 tff(26527,plain,
% 40.46/26.97 (~v101(constB195)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26526, 133, 26520, 26517])).
% 40.46/26.97 tff(26528,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26529,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26530,plain,
% 40.46/26.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26529, 26528])).
% 40.46/26.97 tff(26531,plain,
% 40.46/26.97 (v101(constB195) | (~v100(constB195))),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26530, 150, 26520])).
% 40.46/26.97 tff(26532,plain,
% 40.46/26.97 (~v100(constB195)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26531, 26527])).
% 40.46/26.97 tff(26533,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26534,plain,
% 40.46/26.97 (((~nextState(constB194, constB195)) | v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2))) <=> (v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26535,plain,
% 40.46/26.97 (((~![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))))),
% 40.46/26.97 inference(monotonicity,[status(thm)],[26534])).
% 40.46/26.97 tff(26536,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(transitivity,[status(thm)],[26535, 26533])).
% 40.46/26.97 tff(26537,plain,
% 40.46/26.97 ((~![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)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26538,plain,
% 40.46/26.97 ((~![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))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26537, 26536])).
% 40.46/26.97 tff(26539,plain,
% 40.46/26.97 (v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2))),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26538, 165, 26520])).
% 40.46/26.97 tff(26540,plain,
% 40.46/26.97 (v90(constB194, bitIndex2) | (~v90(constB195, bitIndex2))),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26539, 26532])).
% 40.46/26.97 tff(26541,plain,
% 40.46/26.97 (~v90(constB195, bitIndex2)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26540, 26514])).
% 40.46/26.97 tff(26542,plain,
% 40.46/26.97 (((~![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)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26543,plain,
% 40.46/26.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB195, bitIndex2) | (~v88(constB195, bitIndex2)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26544,plain,
% 40.46/26.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB195, bitIndex2) | (~v88(constB195, bitIndex2))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26543, 26542])).
% 40.46/26.97 tff(26545,plain,
% 40.46/26.97 (~v88(constB195, bitIndex2)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26544, 22090, 26541])).
% 40.46/26.97 tff(26546,plain,
% 40.46/26.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex1)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26547,plain,
% 40.46/26.97 ((v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1))) <=> (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex1)))),
% 40.46/26.97 inference(rewrite,[status(thm)],[])).
% 40.46/26.97 tff(26548,plain,
% 40.46/26.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex1))))),
% 40.46/26.97 inference(monotonicity,[status(thm)],[26547])).
% 40.46/26.97 tff(26549,plain,
% 40.46/26.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex1)))),
% 40.46/26.97 inference(transitivity,[status(thm)],[26548, 26546])).
% 40.46/26.97 tff(26550,plain,
% 40.46/26.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1)))),
% 40.46/26.97 inference(quant_inst,[status(thm)],[])).
% 40.46/26.97 tff(26551,plain,
% 40.46/26.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~v130(constB193, bitIndex1))),
% 40.46/26.97 inference(modus_ponens,[status(thm)],[26550, 26549])).
% 40.46/26.97 tff(26552,plain,
% 40.46/26.97 (~v130(constB193, bitIndex1)),
% 40.46/26.97 inference(unit_resolution,[status(thm)],[26551, 1562, 26486, 26482, 26478, 26474, 26470, 26466])).
% 40.46/26.97 tff(26553,plain,
% 40.46/26.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))),
% 40.46/26.98 inference(rewrite,[status(thm)],[])).
% 40.46/26.98 tff(26554,plain,
% 40.46/26.98 ((v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1))) <=> ((~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))),
% 40.46/26.98 inference(rewrite,[status(thm)],[])).
% 40.46/26.98 tff(26555,plain,
% 40.46/26.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1)))),
% 40.46/26.98 inference(monotonicity,[status(thm)],[26554])).
% 40.46/26.98 tff(26556,plain,
% 40.46/26.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))),
% 40.46/26.98 inference(transitivity,[status(thm)],[26555, 26553])).
% 40.46/26.98 tff(26557,plain,
% 40.46/26.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1)))),
% 40.46/26.98 inference(quant_inst,[status(thm)],[])).
% 40.46/26.98 tff(26558,plain,
% 40.46/26.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1)),
% 40.46/26.98 inference(modus_ponens,[status(thm)],[26557, 26556])).
% 40.46/26.98 tff(26559,plain,
% 40.46/26.98 ((~v127(constB193, bitIndex1)) | v130(constB193, bitIndex1)),
% 40.46/26.98 inference(unit_resolution,[status(thm)],[26558, 527, 26413])).
% 40.46/26.98 tff(26560,plain,
% 40.46/26.98 (~v127(constB193, bitIndex1)),
% 40.46/26.98 inference(unit_resolution,[status(thm)],[26559, 26552])).
% 40.46/26.98 tff(26561,plain,
% 40.46/26.98 (((~![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)))),
% 40.46/26.98 inference(rewrite,[status(thm)],[])).
% 40.46/26.98 tff(26562,plain,
% 40.46/26.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1)))),
% 40.46/26.98 inference(quant_inst,[status(thm)],[])).
% 40.46/26.98 tff(26563,plain,
% 40.46/26.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26562, 26561])).
% 40.54/26.98 tff(26564,plain,
% 40.54/26.98 (v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1))),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26563, 545, 26428])).
% 40.54/26.98 tff(26565,plain,
% 40.54/26.98 (~v129(constB194, bitIndex1)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26564, 26560])).
% 40.54/26.98 tff(26566,plain,
% 40.54/26.98 (((~![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)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26567,plain,
% 40.54/26.98 (((~v90(constB194, bitIndex1)) | (~v100(constB194)) | v129(constB194, bitIndex1)) <=> ((~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26568,plain,
% 40.54/26.98 (((~![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))))),
% 40.54/26.98 inference(monotonicity,[status(thm)],[26567])).
% 40.54/26.98 tff(26569,plain,
% 40.54/26.98 (((~![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)))),
% 40.54/26.98 inference(transitivity,[status(thm)],[26568, 26566])).
% 40.54/26.98 tff(26570,plain,
% 40.54/26.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~v100(constB194)) | v129(constB194, bitIndex1))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26571,plain,
% 40.54/26.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26570, 26569])).
% 40.54/26.98 tff(26572,plain,
% 40.54/26.98 ((~v90(constB194, bitIndex1)) | (~v100(constB194))),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26571, 560, 26565])).
% 40.54/26.98 tff(26573,plain,
% 40.54/26.98 (~v90(constB194, bitIndex1)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26572, 26462])).
% 40.54/26.98 tff(26574,plain,
% 40.54/26.98 (((~![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)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26575,plain,
% 40.54/26.98 (((~nextState(constB194, constB195)) | v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1))) <=> (v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26576,plain,
% 40.54/26.98 (((~![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))))),
% 40.54/26.98 inference(monotonicity,[status(thm)],[26575])).
% 40.54/26.98 tff(26577,plain,
% 40.54/26.98 (((~![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)))),
% 40.54/26.98 inference(transitivity,[status(thm)],[26576, 26574])).
% 40.54/26.98 tff(26578,plain,
% 40.54/26.98 ((~![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)))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26579,plain,
% 40.54/26.98 ((~![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))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26578, 26577])).
% 40.54/26.98 tff(26580,plain,
% 40.54/26.98 (v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1))),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26579, 186, 26520])).
% 40.54/26.98 tff(26581,plain,
% 40.54/26.98 (v90(constB194, bitIndex1) | (~v90(constB195, bitIndex1))),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26580, 26532])).
% 40.54/26.98 tff(26582,plain,
% 40.54/26.98 (~v90(constB195, bitIndex1)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26581, 26573])).
% 40.54/26.98 tff(26583,plain,
% 40.54/26.98 (((~![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)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26584,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB195, bitIndex1) | (~v88(constB195, bitIndex1)))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26585,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB195, bitIndex1) | (~v88(constB195, bitIndex1))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26584, 26583])).
% 40.54/26.98 tff(26586,plain,
% 40.54/26.98 (~v88(constB195, bitIndex1)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26585, 10784, 26582])).
% 40.54/26.98 tff(26587,plain,
% 40.54/26.98 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | v130(constB193, bitIndex0))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26588,plain,
% 40.54/26.98 ((v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, bitIndex0)) <=> (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | v130(constB193, bitIndex0))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26589,plain,
% 40.54/26.98 (((~![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))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | v130(constB193, bitIndex0)))),
% 40.54/26.98 inference(monotonicity,[status(thm)],[26588])).
% 40.54/26.98 tff(26590,plain,
% 40.54/26.98 (((~![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))) | v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | v130(constB193, bitIndex0))),
% 40.54/26.98 inference(transitivity,[status(thm)],[26589, 26587])).
% 40.54/26.98 tff(26591,plain,
% 40.54/26.98 ((~![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))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26592,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | v130(constB193, bitIndex0)),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26591, 26590])).
% 40.54/26.98 tff(26593,plain,
% 40.54/26.98 (v130(constB193, bitIndex0)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26592, 2753, 26486, 26482, 26478, 26474, 26470, 26466])).
% 40.54/26.98 tff(26594,plain,
% 40.54/26.98 (((~![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))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26595,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26596,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0)),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26595, 26594])).
% 40.54/26.98 tff(26597,plain,
% 40.54/26.98 ((~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26596, 601, 26413])).
% 40.54/26.98 tff(26598,plain,
% 40.54/26.98 (v127(constB193, bitIndex0)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26597, 26593])).
% 40.54/26.98 tff(26599,plain,
% 40.54/26.98 (((~![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))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26600,plain,
% 40.54/26.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26601,plain,
% 40.54/26.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0)),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26600, 26599])).
% 40.54/26.98 tff(26602,plain,
% 40.54/26.98 ((~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26601, 616, 26428])).
% 40.54/26.98 tff(26603,plain,
% 40.54/26.98 (v129(constB194, bitIndex0)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26602, 26598])).
% 40.54/26.98 tff(26604,plain,
% 40.54/26.98 (((~![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)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26605,plain,
% 40.54/26.98 ((v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0))) <=> (v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26606,plain,
% 40.54/26.98 (((~![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))))),
% 40.54/26.98 inference(monotonicity,[status(thm)],[26605])).
% 40.54/26.98 tff(26607,plain,
% 40.54/26.98 (((~![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)))),
% 40.54/26.98 inference(transitivity,[status(thm)],[26606, 26604])).
% 40.54/26.98 tff(26608,plain,
% 40.54/26.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0)))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26609,plain,
% 40.54/26.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26608, 26607])).
% 40.54/26.98 tff(26610,plain,
% 40.54/26.98 (v90(constB194, bitIndex0) | (~v100(constB194))),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26609, 631, 26603])).
% 40.54/26.98 tff(26611,plain,
% 40.54/26.98 (v90(constB194, bitIndex0)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26610, 26462])).
% 40.54/26.98 tff(26612,plain,
% 40.54/26.98 (((~![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))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26613,plain,
% 40.54/26.98 (((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0)) <=> ((~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26614,plain,
% 40.54/26.98 (((~![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)))),
% 40.54/26.98 inference(monotonicity,[status(thm)],[26613])).
% 40.54/26.98 tff(26615,plain,
% 40.54/26.98 (((~![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))),
% 40.54/26.98 inference(transitivity,[status(thm)],[26614, 26612])).
% 40.54/26.98 tff(26616,plain,
% 40.54/26.98 ((~![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))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26617,plain,
% 40.54/26.98 ((~![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)),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26616, 26615])).
% 40.54/26.98 tff(26618,plain,
% 40.54/26.98 ((~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26617, 649, 26520])).
% 40.54/26.98 tff(26619,plain,
% 40.54/26.98 ((~v90(constB194, bitIndex0)) | v90(constB195, bitIndex0)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26618, 26532])).
% 40.54/26.98 tff(26620,plain,
% 40.54/26.98 (v90(constB195, bitIndex0)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26619, 26611])).
% 40.54/26.98 tff(26621,plain,
% 40.54/26.98 (((~![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))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26622,plain,
% 40.54/26.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB195, bitIndex0)) | v88(constB195, bitIndex0))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26623,plain,
% 40.54/26.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB195, bitIndex0)) | v88(constB195, bitIndex0)),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26622, 26621])).
% 40.54/26.98 tff(26624,plain,
% 40.54/26.98 (v88(constB195, bitIndex0)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26623, 10622, 26620])).
% 40.54/26.98 tff(26625,plain,
% 40.54/26.98 (^[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)))),
% 40.54/26.98 inference(bind,[status(th)],[])).
% 40.54/26.98 tff(26626,plain,
% 40.54/26.98 (![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))),
% 40.54/26.98 inference(quant_intro,[status(thm)],[26625])).
% 40.54/26.98 tff(26627,plain,
% 40.54/26.98 (![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))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26628,plain,
% 40.54/26.98 (^[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))))),
% 40.54/26.98 inference(bind,[status(th)],[])).
% 40.54/26.98 tff(26629,plain,
% 40.54/26.98 (![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))),
% 40.54/26.98 inference(quant_intro,[status(thm)],[26628])).
% 40.54/26.98 tff(26630,axiom,(![VarCurr: $i] : (((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 40.54/26.98 tff(26631,plain,
% 40.54/26.98 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26630, 26629])).
% 40.54/26.98 tff(26632,plain,
% 40.54/26.98 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26631, 26627])).
% 40.54/26.98 tff(26633,plain,(
% 40.54/26.98 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 40.54/26.98 inference(skolemize,[status(sab)],[26632])).
% 40.54/26.98 tff(26634,plain,
% 40.54/26.98 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26633, 26626])).
% 40.54/26.98 tff(26635,plain,
% 40.54/26.98 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v140(constB195))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v140(constB195))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26636,plain,
% 40.54/26.98 ((v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195)) <=> (v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v140(constB195))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26637,plain,
% 40.54/26.98 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v140(constB195)))),
% 40.54/26.98 inference(monotonicity,[status(thm)],[26636])).
% 40.54/26.98 tff(26638,plain,
% 40.54/26.98 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v140(constB195))),
% 40.54/26.98 inference(transitivity,[status(thm)],[26637, 26635])).
% 40.54/26.98 tff(26639,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26640,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v140(constB195)),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26639, 26638])).
% 40.54/26.98 tff(26641,plain,
% 40.54/26.98 (v140(constB195)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26640, 26634, 26624, 26586, 26545])).
% 40.54/26.98 tff(26642,plain,
% 40.54/26.98 (^[VarCurr: $i] : refl((v170(VarCurr) | (~v140(VarCurr))) <=> (v170(VarCurr) | (~v140(VarCurr))))),
% 40.54/26.98 inference(bind,[status(th)],[])).
% 40.54/26.98 tff(26643,plain,
% 40.54/26.98 (![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))),
% 40.54/26.98 inference(quant_intro,[status(thm)],[26642])).
% 40.54/26.98 tff(26644,plain,
% 40.54/26.98 (![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26645,axiom,(![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_1')).
% 40.54/26.98 tff(26646,plain,
% 40.54/26.98 (![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26645, 26644])).
% 40.54/26.98 tff(26647,plain,(
% 40.54/26.98 ![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))),
% 40.54/26.98 inference(skolemize,[status(sab)],[26646])).
% 40.54/26.98 tff(26648,plain,
% 40.54/26.98 (![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26647, 26643])).
% 40.54/26.98 tff(26649,plain,
% 40.54/26.98 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB195) | (~v140(constB195)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB195) | (~v140(constB195)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26650,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB195) | (~v140(constB195)))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26651,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB195) | (~v140(constB195))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26650, 26649])).
% 40.54/26.98 tff(26652,plain,
% 40.54/26.98 (v170(constB195)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26651, 26648, 26641])).
% 40.54/26.98 tff(26653,plain,
% 40.54/26.98 (^[VarCurr: $i] : refl((v167(VarCurr) | (~v170(VarCurr))) <=> (v167(VarCurr) | (~v170(VarCurr))))),
% 40.54/26.98 inference(bind,[status(th)],[])).
% 40.54/26.98 tff(26654,plain,
% 40.54/26.98 (![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))),
% 40.54/26.98 inference(quant_intro,[status(thm)],[26653])).
% 40.54/26.98 tff(26655,plain,
% 40.54/26.98 (![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26656,axiom,(![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_1')).
% 40.54/26.98 tff(26657,plain,
% 40.54/26.98 (![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26656, 26655])).
% 40.54/26.98 tff(26658,plain,(
% 40.54/26.98 ![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))),
% 40.54/26.98 inference(skolemize,[status(sab)],[26657])).
% 40.54/26.98 tff(26659,plain,
% 40.54/26.98 (![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26658, 26654])).
% 40.54/26.98 tff(26660,plain,
% 40.54/26.98 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB195) | (~v170(constB195)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB195) | (~v170(constB195)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26661,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB195) | (~v170(constB195)))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26662,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB195) | (~v170(constB195))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26661, 26660])).
% 40.54/26.98 tff(26663,plain,
% 40.54/26.98 (v167(constB195)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26662, 26659, 26652])).
% 40.54/26.98 tff(26664,plain,
% 40.54/26.98 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB195) | (~v167(constB195)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB195) | (~v167(constB195)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26665,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB195) | (~v167(constB195)))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26666,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB195) | (~v167(constB195))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26665, 26664])).
% 40.54/26.98 tff(26667,plain,
% 40.54/26.98 (v166(constB195)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26666, 22146, 26663])).
% 40.54/26.98 tff(26668,plain,
% 40.54/26.98 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB195) | (~v166(constB195)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB195) | (~v166(constB195)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26669,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB195) | (~v166(constB195)))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26670,plain,
% 40.54/26.98 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB195) | (~v166(constB195))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26669, 26668])).
% 40.54/26.98 tff(26671,plain,
% 40.54/26.98 (v165(constB195)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26670, 21181, 26667])).
% 40.54/26.98 tff(26672,plain,
% 40.54/26.98 (^[VarCurr: $i] : refl(((~v169(VarCurr)) | (~v170(VarCurr))) <=> ((~v169(VarCurr)) | (~v170(VarCurr))))),
% 40.54/26.98 inference(bind,[status(th)],[])).
% 40.54/26.98 tff(26673,plain,
% 40.54/26.98 (![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))),
% 40.54/26.98 inference(quant_intro,[status(thm)],[26672])).
% 40.54/26.98 tff(26674,plain,
% 40.54/26.98 (![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26675,axiom,(![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1')).
% 40.54/26.98 tff(26676,plain,
% 40.54/26.98 (![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26675, 26674])).
% 40.54/26.98 tff(26677,plain,(
% 40.54/26.98 ![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))),
% 40.54/26.98 inference(skolemize,[status(sab)],[26676])).
% 40.54/26.98 tff(26678,plain,
% 40.54/26.98 (![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26677, 26673])).
% 40.54/26.98 tff(26679,plain,
% 40.54/26.98 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB195)) | (~v170(constB195)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB195)) | (~v170(constB195)))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26680,plain,
% 40.54/26.98 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB195)) | (~v170(constB195)))),
% 40.54/26.98 inference(quant_inst,[status(thm)],[])).
% 40.54/26.98 tff(26681,plain,
% 40.54/26.98 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB195)) | (~v170(constB195))),
% 40.54/26.98 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 40.54/26.98 tff(26682,plain,
% 40.54/26.98 (~v169(constB195)),
% 40.54/26.98 inference(unit_resolution,[status(thm)],[26681, 26678, 26652])).
% 40.54/26.98 tff(26683,plain,
% 40.54/26.98 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB195)) | (~v165(constB195)) | v169(constB195))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB195)) | (~v165(constB195)) | v169(constB195))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26684,plain,
% 40.54/26.98 (((~v165(constB195)) | v169(constB195) | (~v162(constB195))) <=> ((~v162(constB195)) | (~v165(constB195)) | v169(constB195))),
% 40.54/26.98 inference(rewrite,[status(thm)],[])).
% 40.54/26.98 tff(26685,plain,
% 40.54/26.98 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB195)) | v169(constB195) | (~v162(constB195)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB195)) | (~v165(constB195)) | v169(constB195)))),
% 40.54/26.98 inference(monotonicity,[status(thm)],[26684])).
% 40.54/26.98 tff(26686,plain,
% 40.54/26.98 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB195)) | v169(constB195) | (~v162(constB195)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB195)) | (~v165(constB195)) | v169(constB195))),
% 40.54/26.98 inference(transitivity,[status(thm)],[26685, 26683])).
% 40.54/26.98 tff(26687,plain,
% 40.54/26.98 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB195)) | v169(constB195) | (~v162(constB195)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26688,plain,
% 40.54/26.99 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB195)) | (~v165(constB195)) | v169(constB195)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26687, 26686])).
% 40.54/26.99 tff(26689,plain,
% 40.54/26.99 ((~v162(constB195)) | (~v165(constB195))),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26688, 11073, 26682])).
% 40.54/26.99 tff(26690,plain,
% 40.54/26.99 (~v162(constB195)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26689, 26671])).
% 40.54/26.99 tff(26691,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB195) | (~v187(constB195)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB195) | (~v187(constB195)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26692,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB195) | (~v187(constB195)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26693,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB195) | (~v187(constB195))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26692, 26691])).
% 40.54/26.99 tff(26694,plain,
% 40.54/26.99 (~v187(constB195)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26693, 11087, 26690])).
% 40.54/26.99 tff(26695,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB195) | (~v185(constB195)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB195) | (~v185(constB195)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26696,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB195) | (~v185(constB195)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26697,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB195) | (~v185(constB195))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26696, 26695])).
% 40.54/26.99 tff(26698,plain,
% 40.54/26.99 (~v185(constB195)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26697, 11098, 26694])).
% 40.54/26.99 tff(26699,assumption,(v18(constB196)), introduced(assumption)).
% 40.54/26.99 tff(26700,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB196))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26701,plain,
% 40.54/26.99 ($false),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26700, 11110, 26699])).
% 40.54/26.99 tff(26702,plain,(~v18(constB196)), inference(lemma,lemma(discharge,[]))).
% 40.54/26.99 tff(26703,plain,
% 40.54/26.99 (v1(constB196) <=> v1(constB196)),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26704,axiom,(v1(constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 40.54/26.99 tff(26705,plain,
% 40.54/26.99 (v1(constB196)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26704, 26703])).
% 40.54/26.99 tff(26706,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26707,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26708,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26707, 26706])).
% 40.54/26.99 tff(26709,plain,
% 40.54/26.99 (v22(constB196)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26708, 11120, 26705])).
% 40.54/26.99 tff(26710,plain,
% 40.54/26.99 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB196)) | (~v22(constB196)) | v18(constB196))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB196)) | (~v22(constB196)) | v18(constB196))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26711,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB196)) | (~v22(constB196)) | v18(constB196))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26712,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB196)) | (~v22(constB196)) | v18(constB196)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26711, 26710])).
% 40.54/26.99 tff(26713,plain,
% 40.54/26.99 ((~v19(constB196)) | v18(constB196)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26712, 11134, 26709])).
% 40.54/26.99 tff(26714,plain,
% 40.54/26.99 (~v19(constB196)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26713, 26702])).
% 40.54/26.99 tff(26715,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26716,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26717,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26716, 26715])).
% 40.54/26.99 tff(26718,plain,
% 40.54/26.99 (v13(constB196)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26717, 11149, 26714])).
% 40.54/26.99 tff(26719,plain,
% 40.54/26.99 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26720,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 40.54/26.99 tff(26721,plain,
% 40.54/26.99 (nextState(constB195, constB196)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26720, 26719])).
% 40.54/26.99 tff(26722,plain,
% 40.54/26.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26723,plain,
% 40.54/26.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26724,plain,
% 40.54/26.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26723, 26722])).
% 40.54/26.99 tff(26725,plain,
% 40.54/26.99 ((~v13(constB196)) | v9(constB195)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26724, 11163, 26721])).
% 40.54/26.99 tff(26726,plain,
% 40.54/26.99 (v9(constB195)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26725, 26718])).
% 40.54/26.99 tff(26727,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v184(constB195))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB195) | (~v9(constB195)) | v184(constB195))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26728,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v184(constB195))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26729,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB195) | (~v9(constB195)) | v184(constB195)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26728, 26727])).
% 40.54/26.99 tff(26730,plain,
% 40.54/26.99 ((~v9(constB195)) | v184(constB195)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26729, 11178, 26517])).
% 40.54/26.99 tff(26731,plain,
% 40.54/26.99 (v184(constB195)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26730, 26726])).
% 40.54/26.99 tff(26732,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB195) | (~v184(constB195)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB195) | (~v184(constB195)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26733,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB195) | (~v184(constB195)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26734,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB195) | (~v184(constB195))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26733, 26732])).
% 40.54/26.99 tff(26735,plain,
% 40.54/26.99 (v183(constB195)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26734, 11190, 26731])).
% 40.54/26.99 tff(26736,plain,
% 40.54/26.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB195)) | (~v183(constB195)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB195)) | (~v183(constB195)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26737,plain,
% 40.54/26.99 (((~v183(constB195)) | (~v181(constB195))) <=> ((~v181(constB195)) | (~v183(constB195)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26738,plain,
% 40.54/26.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB195)) | (~v181(constB195)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB195)) | (~v183(constB195))))),
% 40.54/26.99 inference(monotonicity,[status(thm)],[26737])).
% 40.54/26.99 tff(26739,plain,
% 40.54/26.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB195)) | (~v181(constB195)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB195)) | (~v183(constB195)))),
% 40.54/26.99 inference(transitivity,[status(thm)],[26738, 26736])).
% 40.54/26.99 tff(26740,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB195)) | (~v181(constB195)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26741,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB195)) | (~v183(constB195))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26740, 26739])).
% 40.54/26.99 tff(26742,plain,
% 40.54/26.99 (~v181(constB195)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26741, 11201, 26735])).
% 40.54/26.99 tff(26743,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB195) | v185(constB195) | (~v178(constB195)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB195) | v185(constB195) | (~v178(constB195)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26744,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB195) | v185(constB195) | (~v178(constB195)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26745,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB195) | v185(constB195) | (~v178(constB195))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26744, 26743])).
% 40.54/26.99 tff(26746,plain,
% 40.54/26.99 (v185(constB195) | (~v178(constB195))),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26745, 11215, 26742])).
% 40.54/26.99 tff(26747,plain,
% 40.54/26.99 (~v178(constB195)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26746, 26698])).
% 40.54/26.99 tff(26748,plain,
% 40.54/26.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB195, constB196)) | v178(constB195) | (~v180(constB196)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB195, constB196)) | v178(constB195) | (~v180(constB196)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26749,plain,
% 40.54/26.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB195, constB196)) | v178(constB195) | (~v180(constB196)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26750,plain,
% 40.54/26.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB195, constB196)) | v178(constB195) | (~v180(constB196))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26749, 26748])).
% 40.54/26.99 tff(26751,plain,
% 40.54/26.99 (v178(constB195) | (~v180(constB196))),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26750, 11230, 26721])).
% 40.54/26.99 tff(26752,plain,
% 40.54/26.99 (~v180(constB196)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26751, 26747])).
% 40.54/26.99 tff(26753,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB196) | (~v181(constB196)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB196) | (~v181(constB196)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26754,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB196) | (~v181(constB196)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26755,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB196) | (~v181(constB196))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26754, 26753])).
% 40.54/26.99 tff(26756,plain,
% 40.54/26.99 (~v181(constB196)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26755, 11242, 26752])).
% 40.54/26.99 tff(26757,plain,
% 40.54/26.99 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB196)) | (~v184(constB196)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB196)) | (~v184(constB196)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26758,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB196)) | (~v184(constB196)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26759,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB196)) | (~v184(constB196))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26758, 26757])).
% 40.54/26.99 tff(26760,plain,
% 40.54/26.99 (~v184(constB196)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26759, 11253, 26705])).
% 40.54/26.99 tff(26761,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB196) | (~v187(constB196)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB196) | (~v187(constB196)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26762,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB196) | (~v187(constB196)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26763,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB196) | (~v187(constB196))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26762, 26761])).
% 40.54/26.99 tff(26764,plain,
% 40.54/26.99 (~v187(constB196)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26763, 11264, 26760])).
% 40.54/26.99 tff(26765,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB196) | (~v185(constB196)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB196) | (~v185(constB196)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26766,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB196) | (~v185(constB196)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26767,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB196) | (~v185(constB196))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26766, 26765])).
% 40.54/26.99 tff(26768,plain,
% 40.54/26.99 (~v185(constB196)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26767, 11098, 26764])).
% 40.54/26.99 tff(26769,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB196) | v185(constB196) | (~v178(constB196)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB196) | v185(constB196) | (~v178(constB196)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26770,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB196) | v185(constB196) | (~v178(constB196)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26771,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB196) | v185(constB196) | (~v178(constB196))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26770, 26769])).
% 40.54/26.99 tff(26772,plain,
% 40.54/26.99 (v181(constB196) | (~v178(constB196))),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26771, 11215, 26768])).
% 40.54/26.99 tff(26773,plain,
% 40.54/26.99 (~v178(constB196)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26772, 26756])).
% 40.54/26.99 tff(26774,plain,
% 40.54/26.99 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26775,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 40.54/26.99 tff(26776,plain,
% 40.54/26.99 (nextState(constB196, constB197)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26775, 26774])).
% 40.54/26.99 tff(26777,plain,
% 40.54/26.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB196, constB197)) | v178(constB196) | (~v180(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB196, constB197)) | v178(constB196) | (~v180(constB197)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26778,plain,
% 40.54/26.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB196, constB197)) | v178(constB196) | (~v180(constB197)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26779,plain,
% 40.54/26.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB196, constB197)) | v178(constB196) | (~v180(constB197))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26778, 26777])).
% 40.54/26.99 tff(26780,plain,
% 40.54/26.99 (v178(constB196) | (~v180(constB197))),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26779, 11230, 26776])).
% 40.54/26.99 tff(26781,plain,
% 40.54/26.99 (~v180(constB197)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26780, 26773])).
% 40.54/26.99 tff(26782,plain,
% 40.54/26.99 ($false),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26781, 23030])).
% 40.54/26.99 tff(26783,plain,((~(constB197 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.54/26.99 tff(26784,plain,
% 40.54/26.99 (~(constB197 = sK0_VarCurr)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26783, 10998])).
% 40.54/26.99 tff(26785,assumption,(constB161 = sK0_VarCurr), introduced(assumption)).
% 40.54/26.99 tff(26786,plain,
% 40.54/26.99 (v180(constB161) <=> v180(sK0_VarCurr)),
% 40.54/26.99 inference(monotonicity,[status(thm)],[26785])).
% 40.54/26.99 tff(26787,plain,
% 40.54/26.99 (v180(sK0_VarCurr) <=> v180(constB161)),
% 40.54/26.99 inference(symmetry,[status(thm)],[26786])).
% 40.54/26.99 tff(26788,plain,
% 40.54/26.99 (v180(constB161)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[11002, 26787])).
% 40.54/26.99 tff(26789,plain,
% 40.54/26.99 (((~![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)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26790,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB159, bitIndex2) | (~v88(constB159, bitIndex2)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26791,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB159, bitIndex2) | (~v88(constB159, bitIndex2))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26790, 26789])).
% 40.54/26.99 tff(26792,plain,
% 40.54/26.99 (~v88(constB159, bitIndex2)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26791, 22090, 20357])).
% 40.54/26.99 tff(26793,plain,
% 40.54/26.99 (((~![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)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26794,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB159, bitIndex1) | (~v88(constB159, bitIndex1)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26795,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB159, bitIndex1) | (~v88(constB159, bitIndex1))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26794, 26793])).
% 40.54/26.99 tff(26796,plain,
% 40.54/26.99 (~v88(constB159, bitIndex1)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26795, 10784, 20394])).
% 40.54/26.99 tff(26797,plain,
% 40.54/26.99 (((~![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))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26798,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB159, bitIndex0)) | v88(constB159, bitIndex0))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26799,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB159, bitIndex0)) | v88(constB159, bitIndex0)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26798, 26797])).
% 40.54/26.99 tff(26800,plain,
% 40.54/26.99 (v88(constB159, bitIndex0)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26799, 10622, 20428])).
% 40.54/26.99 tff(26801,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26802,plain,
% 40.54/26.99 ((v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)) | v140(constB159)) <=> ((~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26803,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)) | v140(constB159))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159)))),
% 40.54/26.99 inference(monotonicity,[status(thm)],[26802])).
% 40.54/26.99 tff(26804,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)) | v140(constB159))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159))),
% 40.54/26.99 inference(transitivity,[status(thm)],[26803, 26801])).
% 40.54/26.99 tff(26805,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)) | v140(constB159))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26806,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26805, 26804])).
% 40.54/26.99 tff(26807,plain,
% 40.54/26.99 (v140(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26806, 26634, 26800, 26796, 26792])).
% 40.54/26.99 tff(26808,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB159) | (~v140(constB159)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB159) | (~v140(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26809,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB159) | (~v140(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26810,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB159) | (~v140(constB159))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26809, 26808])).
% 40.54/26.99 tff(26811,plain,
% 40.54/26.99 (v170(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26810, 26648, 26807])).
% 40.54/26.99 tff(26812,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB159) | (~v170(constB159)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB159) | (~v170(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26813,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB159) | (~v170(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26814,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB159) | (~v170(constB159))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26813, 26812])).
% 40.54/26.99 tff(26815,plain,
% 40.54/26.99 (v167(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26814, 26659, 26811])).
% 40.54/26.99 tff(26816,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB159) | (~v167(constB159)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB159) | (~v167(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26817,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB159) | (~v167(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26818,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB159) | (~v167(constB159))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26817, 26816])).
% 40.54/26.99 tff(26819,plain,
% 40.54/26.99 (v166(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26818, 22146, 26815])).
% 40.54/26.99 tff(26820,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB159) | (~v166(constB159)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB159) | (~v166(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26821,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB159) | (~v166(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26822,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB159) | (~v166(constB159))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26821, 26820])).
% 40.54/26.99 tff(26823,plain,
% 40.54/26.99 (v165(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26822, 21181, 26819])).
% 40.54/26.99 tff(26824,plain,
% 40.54/26.99 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB159)) | (~v170(constB159)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB159)) | (~v170(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26825,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB159)) | (~v170(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26826,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB159)) | (~v170(constB159))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26825, 26824])).
% 40.54/26.99 tff(26827,plain,
% 40.54/26.99 (~v169(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26826, 26678, 26811])).
% 40.54/26.99 tff(26828,plain,
% 40.54/26.99 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB159)) | (~v165(constB159)) | v169(constB159))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB159)) | (~v165(constB159)) | v169(constB159))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26829,plain,
% 40.54/26.99 (((~v165(constB159)) | v169(constB159) | (~v162(constB159))) <=> ((~v162(constB159)) | (~v165(constB159)) | v169(constB159))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26830,plain,
% 40.54/26.99 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB159)) | v169(constB159) | (~v162(constB159)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB159)) | (~v165(constB159)) | v169(constB159)))),
% 40.54/26.99 inference(monotonicity,[status(thm)],[26829])).
% 40.54/26.99 tff(26831,plain,
% 40.54/26.99 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB159)) | v169(constB159) | (~v162(constB159)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB159)) | (~v165(constB159)) | v169(constB159))),
% 40.54/26.99 inference(transitivity,[status(thm)],[26830, 26828])).
% 40.54/26.99 tff(26832,plain,
% 40.54/26.99 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB159)) | v169(constB159) | (~v162(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26833,plain,
% 40.54/26.99 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB159)) | (~v165(constB159)) | v169(constB159)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26832, 26831])).
% 40.54/26.99 tff(26834,plain,
% 40.54/26.99 ((~v162(constB159)) | (~v165(constB159))),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26833, 11073, 26827])).
% 40.54/26.99 tff(26835,plain,
% 40.54/26.99 (~v162(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26834, 26823])).
% 40.54/26.99 tff(26836,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB159) | (~v187(constB159)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB159) | (~v187(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26837,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB159) | (~v187(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26838,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB159) | (~v187(constB159))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26837, 26836])).
% 40.54/26.99 tff(26839,plain,
% 40.54/26.99 (~v187(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26838, 11087, 26835])).
% 40.54/26.99 tff(26840,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB159) | (~v185(constB159)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB159) | (~v185(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26841,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB159) | (~v185(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26842,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB159) | (~v185(constB159))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26841, 26840])).
% 40.54/26.99 tff(26843,plain,
% 40.54/26.99 (~v185(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26842, 11098, 26839])).
% 40.54/26.99 tff(26844,assumption,(v18(constB160)), introduced(assumption)).
% 40.54/26.99 tff(26845,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB160))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26846,plain,
% 40.54/26.99 ($false),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26845, 11110, 26844])).
% 40.54/26.99 tff(26847,plain,(~v18(constB160)), inference(lemma,lemma(discharge,[]))).
% 40.54/26.99 tff(26848,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26849,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26850,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26849, 26848])).
% 40.54/26.99 tff(26851,plain,
% 40.54/26.99 (v22(constB160)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26850, 11120, 20496])).
% 40.54/26.99 tff(26852,plain,
% 40.54/26.99 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB160)) | (~v22(constB160)) | v18(constB160))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB160)) | (~v22(constB160)) | v18(constB160))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26853,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB160)) | (~v22(constB160)) | v18(constB160))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26854,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB160)) | (~v22(constB160)) | v18(constB160)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26853, 26852])).
% 40.54/26.99 tff(26855,plain,
% 40.54/26.99 ((~v19(constB160)) | v18(constB160)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26854, 11134, 26851])).
% 40.54/26.99 tff(26856,plain,
% 40.54/26.99 (~v19(constB160)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26855, 26847])).
% 40.54/26.99 tff(26857,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26858,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26859,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26858, 26857])).
% 40.54/26.99 tff(26860,plain,
% 40.54/26.99 (v13(constB160)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26859, 11149, 26856])).
% 40.54/26.99 tff(26861,plain,
% 40.54/26.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26862,plain,
% 40.54/26.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26863,plain,
% 40.54/26.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26862, 26861])).
% 40.54/26.99 tff(26864,plain,
% 40.54/26.99 ((~v13(constB160)) | v9(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26863, 11163, 20476])).
% 40.54/26.99 tff(26865,plain,
% 40.54/26.99 (v9(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26864, 26860])).
% 40.54/26.99 tff(26866,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v184(constB159))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB159) | (~v9(constB159)) | v184(constB159))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26867,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v184(constB159))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26868,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB159) | (~v9(constB159)) | v184(constB159)),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26867, 26866])).
% 40.54/26.99 tff(26869,plain,
% 40.54/26.99 ((~v9(constB159)) | v184(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26868, 11178, 20333])).
% 40.54/26.99 tff(26870,plain,
% 40.54/26.99 (v184(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26869, 26865])).
% 40.54/26.99 tff(26871,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB159) | (~v184(constB159)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB159) | (~v184(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26872,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB159) | (~v184(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26873,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB159) | (~v184(constB159))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26872, 26871])).
% 40.54/26.99 tff(26874,plain,
% 40.54/26.99 (v183(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26873, 11190, 26870])).
% 40.54/26.99 tff(26875,plain,
% 40.54/26.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB159)) | (~v183(constB159)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB159)) | (~v183(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26876,plain,
% 40.54/26.99 (((~v183(constB159)) | (~v181(constB159))) <=> ((~v181(constB159)) | (~v183(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26877,plain,
% 40.54/26.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB159)) | (~v181(constB159)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB159)) | (~v183(constB159))))),
% 40.54/26.99 inference(monotonicity,[status(thm)],[26876])).
% 40.54/26.99 tff(26878,plain,
% 40.54/26.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB159)) | (~v181(constB159)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB159)) | (~v183(constB159)))),
% 40.54/26.99 inference(transitivity,[status(thm)],[26877, 26875])).
% 40.54/26.99 tff(26879,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB159)) | (~v181(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26880,plain,
% 40.54/26.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB159)) | (~v183(constB159))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26879, 26878])).
% 40.54/26.99 tff(26881,plain,
% 40.54/26.99 (~v181(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26880, 11201, 26874])).
% 40.54/26.99 tff(26882,plain,
% 40.54/26.99 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB159) | v185(constB159) | (~v178(constB159)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB159) | v185(constB159) | (~v178(constB159)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26883,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB159) | v185(constB159) | (~v178(constB159)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26884,plain,
% 40.54/26.99 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB159) | v185(constB159) | (~v178(constB159))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26883, 26882])).
% 40.54/26.99 tff(26885,plain,
% 40.54/26.99 (v185(constB159) | (~v178(constB159))),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26884, 11215, 26881])).
% 40.54/26.99 tff(26886,plain,
% 40.54/26.99 (~v178(constB159)),
% 40.54/26.99 inference(unit_resolution,[status(thm)],[26885, 26843])).
% 40.54/26.99 tff(26887,plain,
% 40.54/26.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB159, constB160)) | v178(constB159) | (~v180(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB159, constB160)) | v178(constB159) | (~v180(constB160)))),
% 40.54/26.99 inference(rewrite,[status(thm)],[])).
% 40.54/26.99 tff(26888,plain,
% 40.54/26.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB159, constB160)) | v178(constB159) | (~v180(constB160)))),
% 40.54/26.99 inference(quant_inst,[status(thm)],[])).
% 40.54/26.99 tff(26889,plain,
% 40.54/26.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB159, constB160)) | v178(constB159) | (~v180(constB160))),
% 40.54/26.99 inference(modus_ponens,[status(thm)],[26888, 26887])).
% 40.54/27.00 tff(26890,plain,
% 40.54/27.00 (v178(constB159) | (~v180(constB160))),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26889, 11230, 20476])).
% 40.54/27.00 tff(26891,plain,
% 40.54/27.00 (~v180(constB160)),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26890, 26886])).
% 40.54/27.00 tff(26892,plain,
% 40.54/27.00 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB160) | (~v181(constB160)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB160) | (~v181(constB160)))),
% 40.54/27.00 inference(rewrite,[status(thm)],[])).
% 40.54/27.00 tff(26893,plain,
% 40.54/27.00 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB160) | (~v181(constB160)))),
% 40.54/27.00 inference(quant_inst,[status(thm)],[])).
% 40.54/27.00 tff(26894,plain,
% 40.54/27.00 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB160) | (~v181(constB160))),
% 40.54/27.00 inference(modus_ponens,[status(thm)],[26893, 26892])).
% 40.54/27.00 tff(26895,plain,
% 40.54/27.00 (~v181(constB160)),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26894, 11242, 26891])).
% 40.54/27.00 tff(26896,plain,
% 40.54/27.00 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB160)) | (~v184(constB160)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB160)) | (~v184(constB160)))),
% 40.54/27.00 inference(rewrite,[status(thm)],[])).
% 40.54/27.00 tff(26897,plain,
% 40.54/27.00 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB160)) | (~v184(constB160)))),
% 40.54/27.00 inference(quant_inst,[status(thm)],[])).
% 40.54/27.00 tff(26898,plain,
% 40.54/27.00 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB160)) | (~v184(constB160))),
% 40.54/27.00 inference(modus_ponens,[status(thm)],[26897, 26896])).
% 40.54/27.00 tff(26899,plain,
% 40.54/27.00 (~v184(constB160)),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26898, 11253, 20496])).
% 40.54/27.00 tff(26900,plain,
% 40.54/27.00 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB160) | (~v187(constB160)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB160) | (~v187(constB160)))),
% 40.54/27.00 inference(rewrite,[status(thm)],[])).
% 40.54/27.00 tff(26901,plain,
% 40.54/27.00 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB160) | (~v187(constB160)))),
% 40.54/27.00 inference(quant_inst,[status(thm)],[])).
% 40.54/27.00 tff(26902,plain,
% 40.54/27.00 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB160) | (~v187(constB160))),
% 40.54/27.00 inference(modus_ponens,[status(thm)],[26901, 26900])).
% 40.54/27.00 tff(26903,plain,
% 40.54/27.00 (~v187(constB160)),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26902, 11264, 26899])).
% 40.54/27.00 tff(26904,plain,
% 40.54/27.00 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB160) | (~v185(constB160)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB160) | (~v185(constB160)))),
% 40.54/27.00 inference(rewrite,[status(thm)],[])).
% 40.54/27.00 tff(26905,plain,
% 40.54/27.00 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB160) | (~v185(constB160)))),
% 40.54/27.00 inference(quant_inst,[status(thm)],[])).
% 40.54/27.00 tff(26906,plain,
% 40.54/27.00 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB160) | (~v185(constB160))),
% 40.54/27.00 inference(modus_ponens,[status(thm)],[26905, 26904])).
% 40.54/27.00 tff(26907,plain,
% 40.54/27.00 (~v185(constB160)),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26906, 11098, 26903])).
% 40.54/27.00 tff(26908,plain,
% 40.54/27.00 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB160) | v185(constB160) | (~v178(constB160)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB160) | v185(constB160) | (~v178(constB160)))),
% 40.54/27.00 inference(rewrite,[status(thm)],[])).
% 40.54/27.00 tff(26909,plain,
% 40.54/27.00 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB160) | v185(constB160) | (~v178(constB160)))),
% 40.54/27.00 inference(quant_inst,[status(thm)],[])).
% 40.54/27.00 tff(26910,plain,
% 40.54/27.00 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB160) | v185(constB160) | (~v178(constB160))),
% 40.54/27.00 inference(modus_ponens,[status(thm)],[26909, 26908])).
% 40.54/27.00 tff(26911,plain,
% 40.54/27.00 (v181(constB160) | (~v178(constB160))),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26910, 11215, 26907])).
% 40.54/27.00 tff(26912,plain,
% 40.54/27.00 (~v178(constB160)),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26911, 26895])).
% 40.54/27.00 tff(26913,plain,
% 40.54/27.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB160, constB161)) | v178(constB160) | (~v180(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB160, constB161)) | v178(constB160) | (~v180(constB161)))),
% 40.54/27.00 inference(rewrite,[status(thm)],[])).
% 40.54/27.00 tff(26914,plain,
% 40.54/27.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB160, constB161)) | v178(constB160) | (~v180(constB161)))),
% 40.54/27.00 inference(quant_inst,[status(thm)],[])).
% 40.54/27.00 tff(26915,plain,
% 40.54/27.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB160, constB161)) | v178(constB160) | (~v180(constB161))),
% 40.54/27.00 inference(modus_ponens,[status(thm)],[26914, 26913])).
% 40.54/27.00 tff(26916,plain,
% 40.54/27.00 (v178(constB160) | (~v180(constB161))),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26915, 11230, 20541])).
% 40.54/27.00 tff(26917,plain,
% 40.54/27.00 (~v180(constB161)),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26916, 26912])).
% 40.54/27.00 tff(26918,plain,
% 40.54/27.00 ($false),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26917, 26788])).
% 40.54/27.00 tff(26919,plain,((~(constB161 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.54/27.00 tff(26920,plain,
% 40.54/27.00 (~(constB161 = sK0_VarCurr)),
% 40.54/27.00 inference(unit_resolution,[status(thm)],[26919, 10998])).
% 40.54/27.00 tff(26921,assumption,(constB185 = sK0_VarCurr), introduced(assumption)).
% 40.54/27.00 tff(26922,plain,
% 40.54/27.00 (v180(constB185) <=> v180(sK0_VarCurr)),
% 40.54/27.00 inference(monotonicity,[status(thm)],[26921])).
% 40.54/27.00 tff(26923,plain,
% 40.54/27.00 (v180(sK0_VarCurr) <=> v180(constB185)),
% 40.54/27.00 inference(symmetry,[status(thm)],[26922])).
% 40.54/27.00 tff(26924,plain,
% 40.54/27.00 (v180(constB185)),
% 40.54/27.00 inference(modus_ponens,[status(thm)],[11002, 26923])).
% 40.54/27.00 tff(26925,plain,
% 40.54/27.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB183, bitIndex2) | (~v88(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB183, bitIndex2) | (~v88(constB183, bitIndex2)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26926,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB183, bitIndex2) | (~v88(constB183, bitIndex2)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26927,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB183, bitIndex2) | (~v88(constB183, bitIndex2))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 40.56/27.00 tff(26928,plain,
% 40.56/27.00 (~v88(constB183, bitIndex2)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26927, 22090, 24929])).
% 40.56/27.00 tff(26929,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB183, bitIndex1) | (~v88(constB183, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB183, bitIndex1) | (~v88(constB183, bitIndex1)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26930,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB183, bitIndex1) | (~v88(constB183, bitIndex1)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26931,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB183, bitIndex1) | (~v88(constB183, bitIndex1))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26930, 26929])).
% 40.56/27.00 tff(26932,plain,
% 40.56/27.00 (~v88(constB183, bitIndex1)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26931, 10784, 24966])).
% 40.56/27.00 tff(26933,plain,
% 40.56/27.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB183, bitIndex0)) | v88(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB183, bitIndex0)) | v88(constB183, bitIndex0))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26934,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB183, bitIndex0)) | v88(constB183, bitIndex0))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26935,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB183, bitIndex0)) | v88(constB183, bitIndex0)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26934, 26933])).
% 40.56/27.00 tff(26936,plain,
% 40.56/27.00 (v88(constB183, bitIndex0)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26935, 10622, 25000])).
% 40.56/27.00 tff(26937,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB183, bitIndex2) | (~v88(constB183, bitIndex0)) | v88(constB183, bitIndex1) | v140(constB183))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB183, bitIndex2) | (~v88(constB183, bitIndex0)) | v88(constB183, bitIndex1) | v140(constB183))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26938,plain,
% 40.56/27.00 ((v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)) | v140(constB183)) <=> (v88(constB183, bitIndex2) | (~v88(constB183, bitIndex0)) | v88(constB183, bitIndex1) | v140(constB183))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26939,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)) | v140(constB183))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB183, bitIndex2) | (~v88(constB183, bitIndex0)) | v88(constB183, bitIndex1) | v140(constB183)))),
% 40.56/27.00 inference(monotonicity,[status(thm)],[26938])).
% 40.56/27.00 tff(26940,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)) | v140(constB183))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB183, bitIndex2) | (~v88(constB183, bitIndex0)) | v88(constB183, bitIndex1) | v140(constB183))),
% 40.56/27.00 inference(transitivity,[status(thm)],[26939, 26937])).
% 40.56/27.00 tff(26941,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)) | v140(constB183))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26942,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB183, bitIndex2) | (~v88(constB183, bitIndex0)) | v88(constB183, bitIndex1) | v140(constB183)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26941, 26940])).
% 40.56/27.00 tff(26943,plain,
% 40.56/27.00 (v140(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26942, 26634, 26936, 26932, 26928])).
% 40.56/27.00 tff(26944,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB183) | (~v140(constB183)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB183) | (~v140(constB183)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26945,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB183) | (~v140(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26946,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB183) | (~v140(constB183))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26945, 26944])).
% 40.56/27.00 tff(26947,plain,
% 40.56/27.00 (v170(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26946, 26648, 26943])).
% 40.56/27.00 tff(26948,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB183) | (~v170(constB183)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB183) | (~v170(constB183)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26949,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB183) | (~v170(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26950,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB183) | (~v170(constB183))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26949, 26948])).
% 40.56/27.00 tff(26951,plain,
% 40.56/27.00 (v167(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26950, 26659, 26947])).
% 40.56/27.00 tff(26952,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB183) | (~v167(constB183)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB183) | (~v167(constB183)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26953,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB183) | (~v167(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26954,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB183) | (~v167(constB183))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26953, 26952])).
% 40.56/27.00 tff(26955,plain,
% 40.56/27.00 (v166(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26954, 22146, 26951])).
% 40.56/27.00 tff(26956,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB183) | (~v166(constB183)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB183) | (~v166(constB183)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26957,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB183) | (~v166(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26958,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB183) | (~v166(constB183))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26957, 26956])).
% 40.56/27.00 tff(26959,plain,
% 40.56/27.00 (v165(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26958, 21181, 26955])).
% 40.56/27.00 tff(26960,plain,
% 40.56/27.00 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB183)) | (~v170(constB183)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB183)) | (~v170(constB183)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26961,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB183)) | (~v170(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26962,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB183)) | (~v170(constB183))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26961, 26960])).
% 40.56/27.00 tff(26963,plain,
% 40.56/27.00 (~v169(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26962, 26678, 26947])).
% 40.56/27.00 tff(26964,plain,
% 40.56/27.00 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB183)) | (~v165(constB183)) | v169(constB183))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB183)) | (~v165(constB183)) | v169(constB183))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26965,plain,
% 40.56/27.00 (((~v165(constB183)) | v169(constB183) | (~v162(constB183))) <=> ((~v162(constB183)) | (~v165(constB183)) | v169(constB183))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26966,plain,
% 40.56/27.00 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB183)) | v169(constB183) | (~v162(constB183)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB183)) | (~v165(constB183)) | v169(constB183)))),
% 40.56/27.00 inference(monotonicity,[status(thm)],[26965])).
% 40.56/27.00 tff(26967,plain,
% 40.56/27.00 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB183)) | v169(constB183) | (~v162(constB183)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB183)) | (~v165(constB183)) | v169(constB183))),
% 40.56/27.00 inference(transitivity,[status(thm)],[26966, 26964])).
% 40.56/27.00 tff(26968,plain,
% 40.56/27.00 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB183)) | v169(constB183) | (~v162(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26969,plain,
% 40.56/27.00 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB183)) | (~v165(constB183)) | v169(constB183)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26968, 26967])).
% 40.56/27.00 tff(26970,plain,
% 40.56/27.00 ((~v162(constB183)) | (~v165(constB183))),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26969, 11073, 26963])).
% 40.56/27.00 tff(26971,plain,
% 40.56/27.00 (~v162(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26970, 26959])).
% 40.56/27.00 tff(26972,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB183) | (~v187(constB183)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB183) | (~v187(constB183)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26973,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB183) | (~v187(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26974,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB183) | (~v187(constB183))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26973, 26972])).
% 40.56/27.00 tff(26975,plain,
% 40.56/27.00 (~v187(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26974, 11087, 26971])).
% 40.56/27.00 tff(26976,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB183) | (~v185(constB183)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB183) | (~v185(constB183)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26977,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB183) | (~v185(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26978,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB183) | (~v185(constB183))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26977, 26976])).
% 40.56/27.00 tff(26979,plain,
% 40.56/27.00 (~v185(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26978, 11098, 26975])).
% 40.56/27.00 tff(26980,assumption,(v18(constB184)), introduced(assumption)).
% 40.56/27.00 tff(26981,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB184))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26982,plain,
% 40.56/27.00 ($false),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26981, 11110, 26980])).
% 40.56/27.00 tff(26983,plain,(~v18(constB184)), inference(lemma,lemma(discharge,[]))).
% 40.56/27.00 tff(26984,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26985,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26986,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26985, 26984])).
% 40.56/27.00 tff(26987,plain,
% 40.56/27.00 (v22(constB184)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26986, 11120, 25067])).
% 40.56/27.00 tff(26988,plain,
% 40.56/27.00 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB184)) | (~v22(constB184)) | v18(constB184))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB184)) | (~v22(constB184)) | v18(constB184))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26989,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB184)) | (~v22(constB184)) | v18(constB184))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26990,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB184)) | (~v22(constB184)) | v18(constB184)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26989, 26988])).
% 40.56/27.00 tff(26991,plain,
% 40.56/27.00 ((~v19(constB184)) | v18(constB184)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26990, 11134, 26987])).
% 40.56/27.00 tff(26992,plain,
% 40.56/27.00 (~v19(constB184)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26991, 26983])).
% 40.56/27.00 tff(26993,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26994,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26995,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26994, 26993])).
% 40.56/27.00 tff(26996,plain,
% 40.56/27.00 (v13(constB184)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26995, 11149, 26992])).
% 40.56/27.00 tff(26997,plain,
% 40.56/27.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(26998,plain,
% 40.56/27.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(26999,plain,
% 40.56/27.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[26998, 26997])).
% 40.56/27.00 tff(27000,plain,
% 40.56/27.00 ((~v13(constB184)) | v9(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[26999, 11163, 25047])).
% 40.56/27.00 tff(27001,plain,
% 40.56/27.00 (v9(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27000, 26996])).
% 40.56/27.00 tff(27002,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v184(constB183))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB183) | (~v9(constB183)) | v184(constB183))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27003,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v184(constB183))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27004,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB183) | (~v9(constB183)) | v184(constB183)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27003, 27002])).
% 40.56/27.00 tff(27005,plain,
% 40.56/27.00 ((~v9(constB183)) | v184(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27004, 11178, 24905])).
% 40.56/27.00 tff(27006,plain,
% 40.56/27.00 (v184(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27005, 27001])).
% 40.56/27.00 tff(27007,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB183) | (~v184(constB183)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB183) | (~v184(constB183)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27008,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB183) | (~v184(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27009,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB183) | (~v184(constB183))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27008, 27007])).
% 40.56/27.00 tff(27010,plain,
% 40.56/27.00 (v183(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27009, 11190, 27006])).
% 40.56/27.00 tff(27011,plain,
% 40.56/27.00 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB183)) | (~v181(constB183)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB183)) | (~v181(constB183)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27012,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB183)) | (~v181(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27013,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB183)) | (~v181(constB183))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27012, 27011])).
% 40.56/27.00 tff(27014,plain,
% 40.56/27.00 (~v181(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27013, 11201, 27010])).
% 40.56/27.00 tff(27015,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB183) | v185(constB183) | (~v178(constB183)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB183) | v185(constB183) | (~v178(constB183)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27016,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB183) | v185(constB183) | (~v178(constB183)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27017,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB183) | v185(constB183) | (~v178(constB183))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27016, 27015])).
% 40.56/27.00 tff(27018,plain,
% 40.56/27.00 (v185(constB183) | (~v178(constB183))),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27017, 11215, 27014])).
% 40.56/27.00 tff(27019,plain,
% 40.56/27.00 (~v178(constB183)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27018, 26979])).
% 40.56/27.00 tff(27020,plain,
% 40.56/27.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB183, constB184)) | v178(constB183) | (~v180(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB183, constB184)) | v178(constB183) | (~v180(constB184)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27021,plain,
% 40.56/27.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB183, constB184)) | v178(constB183) | (~v180(constB184)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27022,plain,
% 40.56/27.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB183, constB184)) | v178(constB183) | (~v180(constB184))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27021, 27020])).
% 40.56/27.00 tff(27023,plain,
% 40.56/27.00 (v178(constB183) | (~v180(constB184))),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27022, 11230, 25047])).
% 40.56/27.00 tff(27024,plain,
% 40.56/27.00 (~v180(constB184)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27023, 27019])).
% 40.56/27.00 tff(27025,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB184) | (~v181(constB184)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB184) | (~v181(constB184)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27026,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB184) | (~v181(constB184)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27027,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB184) | (~v181(constB184))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27026, 27025])).
% 40.56/27.00 tff(27028,plain,
% 40.56/27.00 (~v181(constB184)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27027, 11242, 27024])).
% 40.56/27.00 tff(27029,plain,
% 40.56/27.00 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB184)) | (~v184(constB184)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB184)) | (~v184(constB184)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27030,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB184)) | (~v184(constB184)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27031,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB184)) | (~v184(constB184))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27030, 27029])).
% 40.56/27.00 tff(27032,plain,
% 40.56/27.00 (~v184(constB184)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27031, 11253, 25067])).
% 40.56/27.00 tff(27033,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB184) | (~v187(constB184)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB184) | (~v187(constB184)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27034,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB184) | (~v187(constB184)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27035,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB184) | (~v187(constB184))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27034, 27033])).
% 40.56/27.00 tff(27036,plain,
% 40.56/27.00 (~v187(constB184)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27035, 11264, 27032])).
% 40.56/27.00 tff(27037,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB184) | (~v185(constB184)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB184) | (~v185(constB184)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27038,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB184) | (~v185(constB184)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27039,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB184) | (~v185(constB184))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27038, 27037])).
% 40.56/27.00 tff(27040,plain,
% 40.56/27.00 (~v185(constB184)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27039, 11098, 27036])).
% 40.56/27.00 tff(27041,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB184) | v185(constB184) | (~v178(constB184)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB184) | v185(constB184) | (~v178(constB184)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27042,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB184) | v185(constB184) | (~v178(constB184)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27043,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB184) | v185(constB184) | (~v178(constB184))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27042, 27041])).
% 40.56/27.00 tff(27044,plain,
% 40.56/27.00 (v181(constB184) | (~v178(constB184))),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27043, 11215, 27040])).
% 40.56/27.00 tff(27045,plain,
% 40.56/27.00 (~v178(constB184)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27044, 27028])).
% 40.56/27.00 tff(27046,plain,
% 40.56/27.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB184, constB185)) | v178(constB184) | (~v180(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB184, constB185)) | v178(constB184) | (~v180(constB185)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27047,plain,
% 40.56/27.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB184, constB185)) | v178(constB184) | (~v180(constB185)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27048,plain,
% 40.56/27.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB184, constB185)) | v178(constB184) | (~v180(constB185))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27047, 27046])).
% 40.56/27.00 tff(27049,plain,
% 40.56/27.00 (v178(constB184) | (~v180(constB185))),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27048, 11230, 25112])).
% 40.56/27.00 tff(27050,plain,
% 40.56/27.00 (~v180(constB185)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27049, 27045])).
% 40.56/27.00 tff(27051,plain,
% 40.56/27.00 ($false),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27050, 26924])).
% 40.56/27.00 tff(27052,plain,((~(constB185 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.56/27.00 tff(27053,plain,
% 40.56/27.00 (~(constB185 = sK0_VarCurr)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27052, 10998])).
% 40.56/27.00 tff(27054,assumption,(constB141 = sK0_VarCurr), introduced(assumption)).
% 40.56/27.00 tff(27055,plain,
% 40.56/27.00 (v86(constB141) <=> v86(sK0_VarCurr)),
% 40.56/27.00 inference(monotonicity,[status(thm)],[27054])).
% 40.56/27.00 tff(27056,plain,
% 40.56/27.00 (v86(sK0_VarCurr) <=> v86(constB141)),
% 40.56/27.00 inference(symmetry,[status(thm)],[27055])).
% 40.56/27.00 tff(27057,plain,
% 40.56/27.00 ((~v86(sK0_VarCurr)) <=> (~v86(constB141))),
% 40.56/27.00 inference(monotonicity,[status(thm)],[27056])).
% 40.56/27.00 tff(27058,plain,
% 40.56/27.00 (~v86(constB141)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[77, 27057])).
% 40.56/27.00 tff(27059,assumption,(v86(constB141)), introduced(assumption)).
% 40.56/27.00 tff(27060,plain,
% 40.56/27.00 ($false),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27059, 27058])).
% 40.56/27.00 tff(27061,plain,((~(constB141 = sK0_VarCurr)) | (~v86(constB141)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.56/27.00 tff(27062,plain,
% 40.56/27.00 ((~(constB141 = sK0_VarCurr)) | v86(sK0_VarCurr)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27061, 21858])).
% 40.56/27.00 tff(27063,plain,
% 40.56/27.00 (~(constB141 = sK0_VarCurr)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27062, 72])).
% 40.56/27.00 tff(27064,assumption,(constB20 = sK0_VarCurr), introduced(assumption)).
% 40.56/27.00 tff(27065,plain,
% 40.56/27.00 (v1(constB20) <=> v1(sK0_VarCurr)),
% 40.56/27.00 inference(monotonicity,[status(thm)],[27064])).
% 40.56/27.00 tff(27066,plain,
% 40.56/27.00 (v1(sK0_VarCurr) <=> v1(constB20)),
% 40.56/27.00 inference(symmetry,[status(thm)],[27065])).
% 40.56/27.00 tff(27067,plain,
% 40.56/27.00 ((~v1(sK0_VarCurr)) <=> (~v1(constB20))),
% 40.56/27.00 inference(monotonicity,[status(thm)],[27066])).
% 40.56/27.00 tff(27068,plain,
% 40.56/27.00 (~v1(constB20)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[21332, 27067])).
% 40.56/27.00 tff(27069,plain,
% 40.56/27.00 ($false),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[3232, 27068])).
% 40.56/27.00 tff(27070,plain,((~(constB20 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.56/27.00 tff(27071,plain,
% 40.56/27.00 (~(constB20 = sK0_VarCurr)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27070, 21327])).
% 40.56/27.00 tff(27072,assumption,(constB129 = sK0_VarCurr), introduced(assumption)).
% 40.56/27.00 tff(27073,plain,
% 40.56/27.00 (v86(constB129) <=> v86(sK0_VarCurr)),
% 40.56/27.00 inference(monotonicity,[status(thm)],[27072])).
% 40.56/27.00 tff(27074,plain,
% 40.56/27.00 (v86(sK0_VarCurr) <=> v86(constB129)),
% 40.56/27.00 inference(symmetry,[status(thm)],[27073])).
% 40.56/27.00 tff(27075,plain,
% 40.56/27.00 ((~v86(sK0_VarCurr)) <=> (~v86(constB129))),
% 40.56/27.00 inference(monotonicity,[status(thm)],[27074])).
% 40.56/27.00 tff(27076,plain,
% 40.56/27.00 (~v86(constB129)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[77, 27075])).
% 40.56/27.00 tff(27077,plain,
% 40.56/27.00 (((~![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))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27078,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB129, bitIndex2)) | v88(constB129, bitIndex2))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27079,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB129, bitIndex2)) | v88(constB129, bitIndex2)),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27078, 27077])).
% 40.56/27.00 tff(27080,plain,
% 40.56/27.00 (v88(constB129, bitIndex2)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27079, 10566, 16856])).
% 40.56/27.00 tff(27081,plain,
% 40.56/27.00 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB129, bitIndex2)) | (~v139(constB129)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB129, bitIndex2)) | (~v139(constB129)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27082,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB129, bitIndex2)) | (~v139(constB129)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27083,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB129, bitIndex2)) | (~v139(constB129))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27082, 27081])).
% 40.56/27.00 tff(27084,plain,
% 40.56/27.00 (~v139(constB129)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27083, 10904, 27080])).
% 40.56/27.00 tff(27085,plain,
% 40.56/27.00 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB129, bitIndex2)) | (~v140(constB129)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB129, bitIndex2)) | (~v140(constB129)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27086,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB129, bitIndex2)) | (~v140(constB129)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27087,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB129, bitIndex2)) | (~v140(constB129))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27086, 27085])).
% 40.56/27.00 tff(27088,plain,
% 40.56/27.00 (~v140(constB129)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27087, 10577, 27080])).
% 40.56/27.00 tff(27089,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v170(constB129)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB129) | v139(constB129) | (~v170(constB129)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27090,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v170(constB129)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27091,plain,
% 40.56/27.00 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB129) | v139(constB129) | (~v170(constB129))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27090, 27089])).
% 40.56/27.00 tff(27092,plain,
% 40.56/27.00 (~v170(constB129)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27091, 10647, 27088, 27084])).
% 40.56/27.00 tff(27093,plain,
% 40.56/27.00 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB129, bitIndex2)) | (~v141(constB129)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB129, bitIndex2)) | (~v141(constB129)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27094,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB129, bitIndex2)) | (~v141(constB129)))),
% 40.56/27.00 inference(quant_inst,[status(thm)],[])).
% 40.56/27.00 tff(27095,plain,
% 40.56/27.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB129, bitIndex2)) | (~v141(constB129))),
% 40.56/27.00 inference(modus_ponens,[status(thm)],[27094, 27093])).
% 40.56/27.00 tff(27096,plain,
% 40.56/27.00 (~v141(constB129)),
% 40.56/27.00 inference(unit_resolution,[status(thm)],[27095, 10658, 27080])).
% 40.56/27.00 tff(27097,plain,
% 40.56/27.00 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB129) | v170(constB129) | (~v167(constB129)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB129) | v170(constB129) | (~v167(constB129)))),
% 40.56/27.00 inference(rewrite,[status(thm)],[])).
% 40.56/27.00 tff(27098,plain,
% 40.56/27.00 ((v141(constB129) | (~v167(constB129)) | v170(constB129)) <=> (v141(constB129) | v170(constB129) | (~v167(constB129)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27099,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB129) | (~v167(constB129)) | v170(constB129))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB129) | v170(constB129) | (~v167(constB129))))),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27098])).
% 40.56/27.01 tff(27100,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB129) | (~v167(constB129)) | v170(constB129))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB129) | v170(constB129) | (~v167(constB129)))),
% 40.56/27.01 inference(transitivity,[status(thm)],[27099, 27097])).
% 40.56/27.01 tff(27101,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB129) | (~v167(constB129)) | v170(constB129))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27102,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB129) | v170(constB129) | (~v167(constB129))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27101, 27100])).
% 40.56/27.01 tff(27103,plain,
% 40.56/27.01 (v170(constB129) | (~v167(constB129))),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27102, 10672, 27096])).
% 40.56/27.01 tff(27104,plain,
% 40.56/27.01 (~v167(constB129)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27103, 27092])).
% 40.56/27.01 tff(27105,plain,
% 40.56/27.01 (((~![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)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27106,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB129, bitIndex1) | (~v88(constB129, bitIndex1)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27107,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB129, bitIndex1) | (~v88(constB129, bitIndex1))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27106, 27105])).
% 40.56/27.01 tff(27108,plain,
% 40.56/27.01 (~v88(constB129, bitIndex1)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27107, 10784, 16890])).
% 40.56/27.01 tff(27109,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB129, bitIndex1) | (~v144(constB129)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB129, bitIndex1) | (~v144(constB129)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27110,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB129, bitIndex1) | (~v144(constB129)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27111,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB129, bitIndex1) | (~v144(constB129))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27110, 27109])).
% 40.56/27.01 tff(27112,plain,
% 40.56/27.01 (~v144(constB129)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27111, 10868, 27108])).
% 40.56/27.01 tff(27113,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB129, bitIndex2)) | (~v143(constB129)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB129, bitIndex2)) | (~v143(constB129)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27114,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB129, bitIndex2)) | (~v143(constB129)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27115,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB129, bitIndex2)) | (~v143(constB129))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27114, 27113])).
% 40.56/27.01 tff(27116,plain,
% 40.56/27.01 (~v143(constB129)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27115, 10885, 27080])).
% 40.56/27.01 tff(27117,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB129) | v144(constB129) | (~v142(constB129)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB129) | v144(constB129) | (~v142(constB129)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27118,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB129) | v144(constB129) | (~v142(constB129)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27119,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB129) | v144(constB129) | (~v142(constB129))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27118, 27117])).
% 40.56/27.01 tff(27120,plain,
% 40.56/27.01 (~v142(constB129)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27119, 10711, 27116, 27112])).
% 40.56/27.01 tff(27121,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB129) | v142(constB129) | (~v166(constB129)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB129) | v142(constB129) | (~v166(constB129)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27122,plain,
% 40.56/27.01 ((v142(constB129) | (~v166(constB129)) | v167(constB129)) <=> (v167(constB129) | v142(constB129) | (~v166(constB129)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27123,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB129) | (~v166(constB129)) | v167(constB129))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB129) | v142(constB129) | (~v166(constB129))))),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27122])).
% 40.56/27.01 tff(27124,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB129) | (~v166(constB129)) | v167(constB129))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB129) | v142(constB129) | (~v166(constB129)))),
% 40.56/27.01 inference(transitivity,[status(thm)],[27123, 27121])).
% 40.56/27.01 tff(27125,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB129) | (~v166(constB129)) | v167(constB129))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27126,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB129) | v142(constB129) | (~v166(constB129))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27125, 27124])).
% 40.56/27.01 tff(27127,plain,
% 40.56/27.01 (~v166(constB129)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27126, 10725, 27120, 27104])).
% 40.56/27.01 tff(27128,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB129) | v166(constB129))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB129) | v166(constB129))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27129,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB129) | v166(constB129))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27130,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB129) | v166(constB129)),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27129, 27128])).
% 40.56/27.01 tff(27131,plain,
% 40.56/27.01 (v148(constB129)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27130, 10739, 27127])).
% 40.56/27.01 tff(27132,plain,
% 40.56/27.01 (((~![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)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27133,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB129, bitIndex0) | (~v88(constB129, bitIndex0)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27134,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB129, bitIndex0) | (~v88(constB129, bitIndex0))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27133, 27132])).
% 40.56/27.01 tff(27135,plain,
% 40.56/27.01 (~v88(constB129, bitIndex0)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27134, 14645, 16924])).
% 40.56/27.01 tff(27136,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v146(constB129))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v146(constB129))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27137,plain,
% 40.56/27.01 (((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0) | v146(constB129)) <=> (v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v146(constB129))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27138,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0) | v146(constB129))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v146(constB129)))),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27137])).
% 40.56/27.01 tff(27139,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0) | v146(constB129))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v146(constB129))),
% 40.56/27.01 inference(transitivity,[status(thm)],[27138, 27136])).
% 40.56/27.01 tff(27140,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0) | v146(constB129))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27141,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB129, bitIndex0) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v146(constB129)),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27140, 27139])).
% 40.56/27.01 tff(27142,plain,
% 40.56/27.01 (v146(constB129)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27141, 14659, 27080, 27135, 27108])).
% 40.56/27.01 tff(27143,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB129) | (~v146(constB129)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB129) | (~v146(constB129)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27144,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB129) | (~v146(constB129)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27145,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB129) | (~v146(constB129))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27144, 27143])).
% 40.56/27.01 tff(27146,plain,
% 40.56/27.01 (v145(constB129)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27145, 14673, 27142])).
% 40.56/27.01 tff(27147,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB129) | (~v145(constB129)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB129) | (~v145(constB129)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27148,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB129) | (~v145(constB129)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27149,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB129) | (~v145(constB129))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27148, 27147])).
% 40.56/27.01 tff(27150,plain,
% 40.56/27.01 (v165(constB129)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27149, 10823, 27146])).
% 40.56/27.01 tff(27151,plain,
% 40.56/27.01 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB129) | (~v148(constB129)) | (~v165(constB129)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB129) | (~v148(constB129)) | (~v165(constB129)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27152,plain,
% 40.56/27.01 (((~v148(constB129)) | (~v165(constB129)) | v86(constB129)) <=> (v86(constB129) | (~v148(constB129)) | (~v165(constB129)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27153,plain,
% 40.56/27.01 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB129)) | (~v165(constB129)) | v86(constB129))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB129) | (~v148(constB129)) | (~v165(constB129))))),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27152])).
% 40.56/27.01 tff(27154,plain,
% 40.56/27.01 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB129)) | (~v165(constB129)) | v86(constB129))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB129) | (~v148(constB129)) | (~v165(constB129)))),
% 40.56/27.01 inference(transitivity,[status(thm)],[27153, 27151])).
% 40.56/27.01 tff(27155,plain,
% 40.56/27.01 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB129)) | (~v165(constB129)) | v86(constB129))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27156,plain,
% 40.56/27.01 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB129) | (~v148(constB129)) | (~v165(constB129))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27155, 27154])).
% 40.56/27.01 tff(27157,plain,
% 40.56/27.01 (v86(constB129) | (~v148(constB129))),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27156, 10837, 27150])).
% 40.56/27.01 tff(27158,plain,
% 40.56/27.01 (v86(constB129)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27157, 27131])).
% 40.56/27.01 tff(27159,plain,
% 40.56/27.01 ($false),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27158, 27076])).
% 40.56/27.01 tff(27160,plain,((~(constB129 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.56/27.01 tff(27161,plain,
% 40.56/27.01 (~(constB129 = sK0_VarCurr)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27160, 72])).
% 40.56/27.01 tff(27162,assumption,(constB56 = sK0_VarCurr), introduced(assumption)).
% 40.56/27.01 tff(27163,plain,
% 40.56/27.01 (v1(constB56) <=> v1(sK0_VarCurr)),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27162])).
% 40.56/27.01 tff(27164,plain,
% 40.56/27.01 (v1(sK0_VarCurr) <=> v1(constB56)),
% 40.56/27.01 inference(symmetry,[status(thm)],[27163])).
% 40.56/27.01 tff(27165,plain,
% 40.56/27.01 ((~v1(sK0_VarCurr)) <=> (~v1(constB56))),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27164])).
% 40.56/27.01 tff(27166,plain,
% 40.56/27.01 (~v1(constB56)),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[21332, 27165])).
% 40.56/27.01 tff(27167,plain,
% 40.56/27.01 ($false),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[7416, 27166])).
% 40.56/27.01 tff(27168,plain,((~(constB56 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.56/27.01 tff(27169,plain,
% 40.56/27.01 (~(constB56 = sK0_VarCurr)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27168, 21327])).
% 40.56/27.01 tff(27170,assumption,(constB34 = sK0_VarCurr), introduced(assumption)).
% 40.56/27.01 tff(27171,plain,
% 40.56/27.01 (v1(constB34) <=> v1(sK0_VarCurr)),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27170])).
% 40.56/27.01 tff(27172,plain,
% 40.56/27.01 (v1(sK0_VarCurr) <=> v1(constB34)),
% 40.56/27.01 inference(symmetry,[status(thm)],[27171])).
% 40.56/27.01 tff(27173,plain,
% 40.56/27.01 ((~v1(sK0_VarCurr)) <=> (~v1(constB34))),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27172])).
% 40.56/27.01 tff(27174,plain,
% 40.56/27.01 (~v1(constB34)),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[21332, 27173])).
% 40.56/27.01 tff(27175,plain,
% 40.56/27.01 ($false),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[4818, 27174])).
% 40.56/27.01 tff(27176,plain,((~(constB34 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.56/27.01 tff(27177,plain,
% 40.56/27.01 (~(constB34 = sK0_VarCurr)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27176, 21327])).
% 40.56/27.01 tff(27178,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB143, bitIndex2) | (~v124(constB143)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB143, bitIndex2) | (~v124(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27179,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB143, bitIndex2) | (~v124(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27180,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB143, bitIndex2) | (~v124(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27179, 27178])).
% 40.56/27.01 tff(27181,plain,
% 40.56/27.01 (v90(constB143, bitIndex2)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27180, 7720, 18852])).
% 40.56/27.01 tff(27182,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27183,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27184,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2)),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27183, 27182])).
% 40.56/27.01 tff(27185,plain,
% 40.56/27.01 (v88(constB143, bitIndex2)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27184, 10566, 27181])).
% 40.56/27.01 tff(27186,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v140(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB143, bitIndex2)) | (~v140(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27187,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v140(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27188,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB143, bitIndex2)) | (~v140(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27187, 27186])).
% 40.56/27.01 tff(27189,plain,
% 40.56/27.01 (~v140(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27188, 10577, 27185])).
% 40.56/27.01 tff(27190,plain,
% 40.56/27.01 (v90(constB142, bitIndex0)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[18677, 21831])).
% 40.56/27.01 tff(27191,plain,
% 40.56/27.01 (v90(constB143, bitIndex0)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[18704, 27190])).
% 40.56/27.01 tff(27192,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27193,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27194,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0)),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27193, 27192])).
% 40.56/27.01 tff(27195,plain,
% 40.56/27.01 (v88(constB143, bitIndex0)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27194, 10622, 27191])).
% 40.56/27.01 tff(27196,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v139(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB143, bitIndex0)) | (~v139(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27197,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v139(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27198,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB143, bitIndex0)) | (~v139(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27197, 27196])).
% 40.56/27.01 tff(27199,plain,
% 40.56/27.01 (~v139(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27198, 10633, 27195])).
% 40.56/27.01 tff(27200,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v170(constB143)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB143) | v139(constB143) | (~v170(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27201,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v170(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27202,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB143) | v139(constB143) | (~v170(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27201, 27200])).
% 40.56/27.01 tff(27203,plain,
% 40.56/27.01 (v140(constB143) | (~v170(constB143))),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27202, 10647, 27199])).
% 40.56/27.01 tff(27204,plain,
% 40.56/27.01 (~v170(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27203, 27189])).
% 40.56/27.01 tff(27205,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v141(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB143, bitIndex2)) | (~v141(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27206,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v141(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27207,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB143, bitIndex2)) | (~v141(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27206, 27205])).
% 40.56/27.01 tff(27208,plain,
% 40.56/27.01 (~v141(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27207, 10658, 27185])).
% 40.56/27.01 tff(27209,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB143) | v170(constB143) | (~v169(constB143)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB143) | v170(constB143) | (~v169(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27210,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB143) | v170(constB143) | (~v169(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27211,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB143) | v170(constB143) | (~v169(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27210, 27209])).
% 40.56/27.01 tff(27212,plain,
% 40.56/27.01 (~v169(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27211, 11040, 27208, 27204])).
% 40.56/27.01 tff(27213,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB143, bitIndex1)) | (~v124(constB143)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB143, bitIndex1)) | (~v124(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27214,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB143, bitIndex1)) | (~v124(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27215,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB143, bitIndex1)) | (~v124(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27214, 27213])).
% 40.56/27.01 tff(27216,plain,
% 40.56/27.01 (~v90(constB143, bitIndex1)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27215, 2637, 18852])).
% 40.56/27.01 tff(27217,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27218,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27219,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27218, 27217])).
% 40.56/27.01 tff(27220,plain,
% 40.56/27.01 (~v88(constB143, bitIndex1)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27219, 10784, 27216])).
% 40.56/27.01 tff(27221,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27222,plain,
% 40.56/27.01 (((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143)) <=> (v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27223,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143)))),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27222])).
% 40.56/27.01 tff(27224,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143))),
% 40.56/27.01 inference(transitivity,[status(thm)],[27223, 27221])).
% 40.56/27.01 tff(27225,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27226,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143)),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27225, 27224])).
% 40.56/27.01 tff(27227,plain,
% 40.56/27.01 (v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | v147(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27226, 10798, 27195])).
% 40.56/27.01 tff(27228,plain,
% 40.56/27.01 (v147(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27227, 27220, 27185])).
% 40.56/27.01 tff(27229,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB143) | (~v147(constB143)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB143) | (~v147(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27230,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB143) | (~v147(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27231,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB143) | (~v147(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27230, 27229])).
% 40.56/27.01 tff(27232,plain,
% 40.56/27.01 (v145(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27231, 10812, 27228])).
% 40.56/27.01 tff(27233,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB143) | (~v145(constB143)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB143) | (~v145(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27234,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB143) | (~v145(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27235,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB143) | (~v145(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27234, 27233])).
% 40.56/27.01 tff(27236,plain,
% 40.56/27.01 (v165(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27235, 10823, 27232])).
% 40.56/27.01 tff(27237,plain,
% 40.56/27.01 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB143)) | v169(constB143) | (~v165(constB143)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB143)) | v169(constB143) | (~v165(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27238,plain,
% 40.56/27.01 (((~v165(constB143)) | v169(constB143) | (~v162(constB143))) <=> ((~v162(constB143)) | v169(constB143) | (~v165(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27239,plain,
% 40.56/27.01 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB143)) | v169(constB143) | (~v162(constB143)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB143)) | v169(constB143) | (~v165(constB143))))),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27238])).
% 40.56/27.01 tff(27240,plain,
% 40.56/27.01 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB143)) | v169(constB143) | (~v162(constB143)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB143)) | v169(constB143) | (~v165(constB143)))),
% 40.56/27.01 inference(transitivity,[status(thm)],[27239, 27237])).
% 40.56/27.01 tff(27241,plain,
% 40.56/27.01 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB143)) | v169(constB143) | (~v162(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27242,plain,
% 40.56/27.01 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB143)) | v169(constB143) | (~v165(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27241, 27240])).
% 40.56/27.01 tff(27243,plain,
% 40.56/27.01 (~v162(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27242, 11073, 27236, 27212])).
% 40.56/27.01 tff(27244,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB143) | (~v187(constB143)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB143) | (~v187(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27245,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB143) | (~v187(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27246,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB143) | (~v187(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27245, 27244])).
% 40.56/27.01 tff(27247,plain,
% 40.56/27.01 (~v187(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27246, 11087, 27243])).
% 40.56/27.01 tff(27248,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB143) | (~v185(constB143)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB143) | (~v185(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27249,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB143) | (~v185(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27250,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB143) | (~v185(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27249, 27248])).
% 40.56/27.01 tff(27251,plain,
% 40.56/27.01 (~v185(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27250, 11098, 27247])).
% 40.56/27.01 tff(27252,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v184(constB143))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB143) | (~v9(constB143)) | v184(constB143))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27253,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v184(constB143))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27254,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB143) | (~v9(constB143)) | v184(constB143)),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27253, 27252])).
% 40.56/27.01 tff(27255,plain,
% 40.56/27.01 ((~v9(constB143)) | v184(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27254, 11178, 18681])).
% 40.56/27.01 tff(27256,plain,
% 40.56/27.01 (v184(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27255, 22478])).
% 40.56/27.01 tff(27257,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB143) | (~v184(constB143)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB143) | (~v184(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27258,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB143) | (~v184(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27259,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB143) | (~v184(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27258, 27257])).
% 40.56/27.01 tff(27260,plain,
% 40.56/27.01 (v183(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27259, 11190, 27256])).
% 40.56/27.01 tff(27261,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB143)) | (~v183(constB143)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB143)) | (~v183(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27262,plain,
% 40.56/27.01 (((~v183(constB143)) | (~v181(constB143))) <=> ((~v181(constB143)) | (~v183(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27263,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB143)) | (~v181(constB143)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB143)) | (~v183(constB143))))),
% 40.56/27.01 inference(monotonicity,[status(thm)],[27262])).
% 40.56/27.01 tff(27264,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB143)) | (~v181(constB143)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB143)) | (~v183(constB143)))),
% 40.56/27.01 inference(transitivity,[status(thm)],[27263, 27261])).
% 40.56/27.01 tff(27265,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB143)) | (~v181(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27266,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB143)) | (~v183(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27265, 27264])).
% 40.56/27.01 tff(27267,plain,
% 40.56/27.01 (~v181(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27266, 11201, 27260])).
% 40.56/27.01 tff(27268,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB143) | v185(constB143) | (~v178(constB143)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB143) | v185(constB143) | (~v178(constB143)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27269,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB143) | v185(constB143) | (~v178(constB143)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27270,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB143) | v185(constB143) | (~v178(constB143))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27269, 27268])).
% 40.56/27.01 tff(27271,plain,
% 40.56/27.01 (v185(constB143) | (~v178(constB143))),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27270, 11215, 27267])).
% 40.56/27.01 tff(27272,plain,
% 40.56/27.01 (~v178(constB143)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27271, 27251])).
% 40.56/27.01 tff(27273,plain,
% 40.56/27.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27274,plain,
% 40.56/27.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27275,plain,
% 40.56/27.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27274, 27273])).
% 40.56/27.01 tff(27276,plain,
% 40.56/27.01 (v178(constB143) | (~v180(constB144))),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27275, 11230, 18876])).
% 40.56/27.01 tff(27277,plain,
% 40.56/27.01 (~v180(constB144)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27276, 27272])).
% 40.56/27.01 tff(27278,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB144) | (~v181(constB144)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB144) | (~v181(constB144)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27279,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB144) | (~v181(constB144)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27280,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB144) | (~v181(constB144))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27279, 27278])).
% 40.56/27.01 tff(27281,plain,
% 40.56/27.01 (~v181(constB144)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27280, 11242, 27277])).
% 40.56/27.01 tff(27282,plain,
% 40.56/27.01 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB144)) | (~v184(constB144)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB144)) | (~v184(constB144)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27283,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB144)) | (~v184(constB144)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27284,plain,
% 40.56/27.01 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB144)) | (~v184(constB144))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27283, 27282])).
% 40.56/27.01 tff(27285,plain,
% 40.56/27.01 (~v184(constB144)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27284, 11253, 18896])).
% 40.56/27.01 tff(27286,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB144) | (~v187(constB144)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB144) | (~v187(constB144)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27287,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB144) | (~v187(constB144)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27288,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB144) | (~v187(constB144))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27287, 27286])).
% 40.56/27.01 tff(27289,plain,
% 40.56/27.01 (~v187(constB144)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27288, 11264, 27285])).
% 40.56/27.01 tff(27290,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB144) | (~v185(constB144)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB144) | (~v185(constB144)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27291,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB144) | (~v185(constB144)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27292,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB144) | (~v185(constB144))),
% 40.56/27.01 inference(modus_ponens,[status(thm)],[27291, 27290])).
% 40.56/27.01 tff(27293,plain,
% 40.56/27.01 (~v185(constB144)),
% 40.56/27.01 inference(unit_resolution,[status(thm)],[27292, 11098, 27289])).
% 40.56/27.01 tff(27294,plain,
% 40.56/27.01 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB144) | v185(constB144) | (~v178(constB144)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB144) | v185(constB144) | (~v178(constB144)))),
% 40.56/27.01 inference(rewrite,[status(thm)],[])).
% 40.56/27.01 tff(27295,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB144) | v185(constB144) | (~v178(constB144)))),
% 40.56/27.01 inference(quant_inst,[status(thm)],[])).
% 40.56/27.01 tff(27296,plain,
% 40.56/27.01 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB144) | v185(constB144) | (~v178(constB144))),
% 40.56/27.02 inference(modus_ponens,[status(thm)],[27295, 27294])).
% 40.56/27.02 tff(27297,plain,
% 40.56/27.02 (v181(constB144) | (~v178(constB144))),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[27296, 11215, 27293])).
% 40.56/27.02 tff(27298,plain,
% 40.56/27.02 (~v178(constB144)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[27297, 27281])).
% 40.56/27.02 tff(27299,plain,
% 40.56/27.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145)))),
% 40.56/27.02 inference(rewrite,[status(thm)],[])).
% 40.56/27.02 tff(27300,plain,
% 40.56/27.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145)))),
% 40.56/27.02 inference(quant_inst,[status(thm)],[])).
% 40.56/27.02 tff(27301,plain,
% 40.56/27.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145))),
% 40.56/27.02 inference(modus_ponens,[status(thm)],[27300, 27299])).
% 40.56/27.02 tff(27302,plain,
% 40.56/27.02 (v178(constB144) | (~v180(constB145))),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[27301, 11230, 18938])).
% 40.56/27.02 tff(27303,plain,
% 40.56/27.02 (~v180(constB145)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[27302, 27298])).
% 40.56/27.02 tff(27304,assumption,(constB145 = sK0_VarCurr), introduced(assumption)).
% 40.56/27.02 tff(27305,plain,
% 40.56/27.02 (v180(constB145) <=> v180(sK0_VarCurr)),
% 40.56/27.02 inference(monotonicity,[status(thm)],[27304])).
% 40.56/27.02 tff(27306,plain,
% 40.56/27.02 (v180(sK0_VarCurr) <=> v180(constB145)),
% 40.56/27.02 inference(symmetry,[status(thm)],[27305])).
% 40.56/27.02 tff(27307,plain,
% 40.56/27.02 (v180(constB145)),
% 40.56/27.02 inference(modus_ponens,[status(thm)],[11002, 27306])).
% 40.56/27.02 tff(27308,assumption,(~v180(constB145)), introduced(assumption)).
% 40.56/27.02 tff(27309,plain,
% 40.56/27.02 ($false),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[27308, 27307])).
% 40.56/27.02 tff(27310,plain,((~(constB145 = sK0_VarCurr)) | v180(constB145) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.56/27.02 tff(27311,plain,
% 40.56/27.02 ((~(constB145 = sK0_VarCurr)) | (~v180(sK0_VarCurr))),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[27310, 27303])).
% 40.56/27.02 tff(27312,plain,
% 40.56/27.02 (~(constB145 = sK0_VarCurr)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[27311, 10998])).
% 40.56/27.02 tff(27313,plain,
% 40.56/27.02 (v116(constB151)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19663, 1149, 19659])).
% 40.56/27.02 tff(27314,plain,
% 40.56/27.02 (v115(constB151)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19667, 272, 27313])).
% 40.56/27.02 tff(27315,plain,
% 40.56/27.02 (v114(constB151)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19671, 283, 27314])).
% 40.56/27.02 tff(27316,plain,
% 40.56/27.02 (v113(constB151)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19675, 294, 27315])).
% 40.56/27.02 tff(27317,plain,
% 40.56/27.02 (v112(constB151)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19687, 27316])).
% 40.56/27.02 tff(27318,plain,
% 40.56/27.02 (v108(constB151)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19691, 320, 27317])).
% 40.56/27.02 tff(27319,plain,
% 40.56/27.02 (v110(constB152)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19702, 27318])).
% 40.56/27.02 tff(27320,plain,
% 40.56/27.02 (v100(constB152)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19728, 27319])).
% 40.56/27.02 tff(27321,plain,
% 40.56/27.02 (v130(constB151, bitIndex2)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19732, 1803, 19659])).
% 40.56/27.02 tff(27322,plain,
% 40.56/27.02 (v127(constB151, bitIndex2)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19737, 27321])).
% 40.56/27.02 tff(27323,plain,
% 40.56/27.02 (v129(constB152, bitIndex2)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19742, 27322])).
% 40.56/27.02 tff(27324,plain,
% 40.56/27.02 (v90(constB152, bitIndex2) | (~v100(constB152))),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19749, 2100, 27323])).
% 40.56/27.02 tff(27325,plain,
% 40.56/27.02 (v90(constB152, bitIndex2)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[27324, 27320])).
% 40.56/27.02 tff(27326,plain,
% 40.56/27.02 (v90(constB153, bitIndex2)),
% 40.56/27.02 inference(unit_resolution,[status(thm)],[19777, 27325])).
% 40.56/27.02 tff(27327,plain,
% 40.56/27.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27328,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27329,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB153, bitIndex2)) | v88(constB153, bitIndex2)),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27328, 27327])).
% 40.58/27.02 tff(27330,plain,
% 40.58/27.02 (v88(constB153, bitIndex2)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27329, 10566, 27326])).
% 40.58/27.02 tff(27331,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v139(constB153)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v139(constB153)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27332,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v139(constB153)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27333,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v139(constB153))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27332, 27331])).
% 40.58/27.02 tff(27334,plain,
% 40.58/27.02 (~v139(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27333, 10904, 27330])).
% 40.58/27.02 tff(27335,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v140(constB153)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v140(constB153)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27336,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v140(constB153)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27337,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB153, bitIndex2)) | (~v140(constB153))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27336, 27335])).
% 40.58/27.02 tff(27338,plain,
% 40.58/27.02 (~v140(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27337, 10577, 27330])).
% 40.58/27.02 tff(27339,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB153)) | v140(constB153) | v139(constB153))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB153)) | v140(constB153) | v139(constB153))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27340,plain,
% 40.58/27.02 ((v140(constB153) | v139(constB153) | (~v170(constB153))) <=> ((~v170(constB153)) | v140(constB153) | v139(constB153))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27341,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v170(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB153)) | v140(constB153) | v139(constB153)))),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27340])).
% 40.58/27.02 tff(27342,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v170(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB153)) | v140(constB153) | v139(constB153))),
% 40.58/27.02 inference(transitivity,[status(thm)],[27341, 27339])).
% 40.58/27.02 tff(27343,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v170(constB153)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27344,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB153)) | v140(constB153) | v139(constB153)),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27343, 27342])).
% 40.58/27.02 tff(27345,plain,
% 40.58/27.02 (~v170(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27344, 10647, 27338, 27334])).
% 40.58/27.02 tff(27346,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB153)) | (~v88(constB153, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB153)) | (~v88(constB153, bitIndex2)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27347,plain,
% 40.58/27.02 (((~v88(constB153, bitIndex2)) | (~v141(constB153))) <=> ((~v141(constB153)) | (~v88(constB153, bitIndex2)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27348,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v141(constB153)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB153)) | (~v88(constB153, bitIndex2))))),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27347])).
% 40.58/27.02 tff(27349,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v141(constB153)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB153)) | (~v88(constB153, bitIndex2)))),
% 40.58/27.02 inference(transitivity,[status(thm)],[27348, 27346])).
% 40.58/27.02 tff(27350,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v141(constB153)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27351,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB153)) | (~v88(constB153, bitIndex2))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27350, 27349])).
% 40.58/27.02 tff(27352,plain,
% 40.58/27.02 (~v141(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27351, 10658, 27330])).
% 40.58/27.02 tff(27353,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | ((~v167(constB153)) | v170(constB153) | v141(constB153))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB153)) | v170(constB153) | v141(constB153))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27354,plain,
% 40.58/27.02 ((v141(constB153) | (~v167(constB153)) | v170(constB153)) <=> ((~v167(constB153)) | v170(constB153) | v141(constB153))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27355,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB153) | (~v167(constB153)) | v170(constB153))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | ((~v167(constB153)) | v170(constB153) | v141(constB153)))),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27354])).
% 40.58/27.02 tff(27356,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB153) | (~v167(constB153)) | v170(constB153))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB153)) | v170(constB153) | v141(constB153))),
% 40.58/27.02 inference(transitivity,[status(thm)],[27355, 27353])).
% 40.58/27.02 tff(27357,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB153) | (~v167(constB153)) | v170(constB153))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27358,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (~v167(constB153)) | v170(constB153) | v141(constB153)),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27357, 27356])).
% 40.58/27.02 tff(27359,plain,
% 40.58/27.02 ((~v167(constB153)) | v170(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27358, 10672, 27352])).
% 40.58/27.02 tff(27360,plain,
% 40.58/27.02 (~v167(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27359, 27345])).
% 40.58/27.02 tff(27361,plain,
% 40.58/27.02 (~v130(constB151, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19815, 2137, 19659])).
% 40.58/27.02 tff(27362,plain,
% 40.58/27.02 (~v127(constB151, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19823, 27361])).
% 40.58/27.02 tff(27363,plain,
% 40.58/27.02 (~v129(constB152, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19828, 27362])).
% 40.58/27.02 tff(27364,plain,
% 40.58/27.02 ((~v90(constB152, bitIndex1)) | (~v100(constB152))),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19835, 560, 27363])).
% 40.58/27.02 tff(27365,plain,
% 40.58/27.02 (~v90(constB152, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27364, 27320])).
% 40.58/27.02 tff(27366,plain,
% 40.58/27.02 (~v90(constB153, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19845, 27365])).
% 40.58/27.02 tff(27367,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB153, bitIndex1) | (~v88(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB153, bitIndex1) | (~v88(constB153, bitIndex1)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27368,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB153, bitIndex1) | (~v88(constB153, bitIndex1)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27369,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB153, bitIndex1) | (~v88(constB153, bitIndex1))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27368, 27367])).
% 40.58/27.02 tff(27370,plain,
% 40.58/27.02 (~v88(constB153, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27369, 10784, 27366])).
% 40.58/27.02 tff(27371,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB153)) | v88(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB153)) | v88(constB153, bitIndex1))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27372,plain,
% 40.58/27.02 ((v88(constB153, bitIndex1) | (~v144(constB153))) <=> ((~v144(constB153)) | v88(constB153, bitIndex1))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27373,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB153, bitIndex1) | (~v144(constB153)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | ((~v144(constB153)) | v88(constB153, bitIndex1)))),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27372])).
% 40.58/27.02 tff(27374,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB153, bitIndex1) | (~v144(constB153)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB153)) | v88(constB153, bitIndex1))),
% 40.58/27.02 inference(transitivity,[status(thm)],[27373, 27371])).
% 40.58/27.02 tff(27375,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB153, bitIndex1) | (~v144(constB153)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27376,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (~v144(constB153)) | v88(constB153, bitIndex1)),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27375, 27374])).
% 40.58/27.02 tff(27377,plain,
% 40.58/27.02 (~v144(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27376, 10868, 27370])).
% 40.58/27.02 tff(27378,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v143(constB153)) | (~v88(constB153, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB153)) | (~v88(constB153, bitIndex2)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27379,plain,
% 40.58/27.02 (((~v88(constB153, bitIndex2)) | (~v143(constB153))) <=> ((~v143(constB153)) | (~v88(constB153, bitIndex2)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27380,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v143(constB153)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v143(constB153)) | (~v88(constB153, bitIndex2))))),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27379])).
% 40.58/27.02 tff(27381,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v143(constB153)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB153)) | (~v88(constB153, bitIndex2)))),
% 40.58/27.02 inference(transitivity,[status(thm)],[27380, 27378])).
% 40.58/27.02 tff(27382,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB153, bitIndex2)) | (~v143(constB153)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27383,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v143(constB153)) | (~v88(constB153, bitIndex2))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27382, 27381])).
% 40.58/27.02 tff(27384,plain,
% 40.58/27.02 (~v143(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27383, 10885, 27330])).
% 40.58/27.02 tff(27385,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB153) | v144(constB153) | (~v142(constB153)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB153) | v144(constB153) | (~v142(constB153)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27386,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB153) | v144(constB153) | (~v142(constB153)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27387,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB153) | v144(constB153) | (~v142(constB153))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27386, 27385])).
% 40.58/27.02 tff(27388,plain,
% 40.58/27.02 (~v142(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27387, 10711, 27384, 27377])).
% 40.58/27.02 tff(27389,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | ((~v166(constB153)) | v167(constB153) | v142(constB153))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB153)) | v167(constB153) | v142(constB153))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27390,plain,
% 40.58/27.02 ((v142(constB153) | (~v166(constB153)) | v167(constB153)) <=> ((~v166(constB153)) | v167(constB153) | v142(constB153))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27391,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB153) | (~v166(constB153)) | v167(constB153))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | ((~v166(constB153)) | v167(constB153) | v142(constB153)))),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27390])).
% 40.58/27.02 tff(27392,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB153) | (~v166(constB153)) | v167(constB153))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB153)) | v167(constB153) | v142(constB153))),
% 40.58/27.02 inference(transitivity,[status(thm)],[27391, 27389])).
% 40.58/27.02 tff(27393,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB153) | (~v166(constB153)) | v167(constB153))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27394,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB153)) | v167(constB153) | v142(constB153)),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27393, 27392])).
% 40.58/27.02 tff(27395,plain,
% 40.58/27.02 (~v166(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27394, 10725, 27388, 27360])).
% 40.58/27.02 tff(27396,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB153) | v166(constB153))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB153) | v166(constB153))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27397,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB153) | v166(constB153))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27398,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB153) | v166(constB153)),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27397, 27396])).
% 40.58/27.02 tff(27399,plain,
% 40.58/27.02 (v148(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27398, 10739, 27395])).
% 40.58/27.02 tff(27400,plain,
% 40.58/27.02 (~v130(constB151, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19781, 1486, 19659])).
% 40.58/27.02 tff(27401,plain,
% 40.58/27.02 (~v127(constB151, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19789, 27400])).
% 40.58/27.02 tff(27402,plain,
% 40.58/27.02 (~v129(constB152, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19794, 27401])).
% 40.58/27.02 tff(27403,plain,
% 40.58/27.02 ((~v90(constB152, bitIndex0)) | (~v100(constB152))),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19801, 977, 27402])).
% 40.58/27.02 tff(27404,plain,
% 40.58/27.02 (~v90(constB152, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27403, 27320])).
% 40.58/27.02 tff(27405,plain,
% 40.58/27.02 (~v90(constB153, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19811, 27404])).
% 40.58/27.02 tff(27406,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB153, bitIndex0) | (~v88(constB153, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB153, bitIndex0) | (~v88(constB153, bitIndex0)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27407,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB153, bitIndex0) | (~v88(constB153, bitIndex0)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27408,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB153, bitIndex0) | (~v88(constB153, bitIndex0))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27407, 27406])).
% 40.58/27.02 tff(27409,plain,
% 40.58/27.02 (~v88(constB153, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27408, 14645, 27405])).
% 40.58/27.02 tff(27410,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB153, bitIndex0) | v146(constB153) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB153, bitIndex0) | v146(constB153) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27411,plain,
% 40.58/27.02 (((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153)) <=> (v88(constB153, bitIndex0) | v146(constB153) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27412,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB153, bitIndex0) | v146(constB153) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2))))),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27411])).
% 40.58/27.02 tff(27413,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB153, bitIndex0) | v146(constB153) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)))),
% 40.58/27.02 inference(transitivity,[status(thm)],[27412, 27410])).
% 40.58/27.02 tff(27414,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0) | v146(constB153))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27415,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB153, bitIndex0) | v146(constB153) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27414, 27413])).
% 40.58/27.02 tff(27416,plain,
% 40.58/27.02 (v146(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27415, 14659, 27330, 27409, 27370])).
% 40.58/27.02 tff(27417,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB153) | (~v146(constB153)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB153) | (~v146(constB153)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27418,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB153) | (~v146(constB153)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27419,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB153) | (~v146(constB153))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27418, 27417])).
% 40.58/27.02 tff(27420,plain,
% 40.58/27.02 (v145(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27419, 14673, 27416])).
% 40.58/27.02 tff(27421,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB153) | (~v145(constB153)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB153) | (~v145(constB153)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27422,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB153) | (~v145(constB153)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27423,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB153) | (~v145(constB153))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27422, 27421])).
% 40.58/27.02 tff(27424,plain,
% 40.58/27.02 (v165(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27423, 10823, 27420])).
% 40.58/27.02 tff(27425,plain,
% 40.58/27.02 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB153) | (~v148(constB153)) | (~v165(constB153)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB153) | (~v148(constB153)) | (~v165(constB153)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27426,plain,
% 40.58/27.02 (((~v148(constB153)) | (~v165(constB153)) | v86(constB153)) <=> (v86(constB153) | (~v148(constB153)) | (~v165(constB153)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27427,plain,
% 40.58/27.02 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB153)) | (~v165(constB153)) | v86(constB153))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB153) | (~v148(constB153)) | (~v165(constB153))))),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27426])).
% 40.58/27.02 tff(27428,plain,
% 40.58/27.02 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB153)) | (~v165(constB153)) | v86(constB153))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB153) | (~v148(constB153)) | (~v165(constB153)))),
% 40.58/27.02 inference(transitivity,[status(thm)],[27427, 27425])).
% 40.58/27.02 tff(27429,plain,
% 40.58/27.02 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB153)) | (~v165(constB153)) | v86(constB153))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27430,plain,
% 40.58/27.02 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB153) | (~v148(constB153)) | (~v165(constB153))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27429, 27428])).
% 40.58/27.02 tff(27431,plain,
% 40.58/27.02 (v86(constB153) | (~v148(constB153))),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27430, 10837, 27424])).
% 40.58/27.02 tff(27432,plain,
% 40.58/27.02 (v86(constB153)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27431, 27399])).
% 40.58/27.02 tff(27433,assumption,(constB153 = sK0_VarCurr), introduced(assumption)).
% 40.58/27.02 tff(27434,plain,
% 40.58/27.02 (v86(constB153) <=> v86(sK0_VarCurr)),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27433])).
% 40.58/27.02 tff(27435,plain,
% 40.58/27.02 (v86(sK0_VarCurr) <=> v86(constB153)),
% 40.58/27.02 inference(symmetry,[status(thm)],[27434])).
% 40.58/27.02 tff(27436,plain,
% 40.58/27.02 ((~v86(sK0_VarCurr)) <=> (~v86(constB153))),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27435])).
% 40.58/27.02 tff(27437,plain,
% 40.58/27.02 (~v86(constB153)),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[77, 27436])).
% 40.58/27.02 tff(27438,assumption,(v86(constB153)), introduced(assumption)).
% 40.58/27.02 tff(27439,plain,
% 40.58/27.02 ($false),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27438, 27437])).
% 40.58/27.02 tff(27440,plain,((~(constB153 = sK0_VarCurr)) | (~v86(constB153)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.58/27.02 tff(27441,plain,
% 40.58/27.02 ((~(constB153 = sK0_VarCurr)) | v86(sK0_VarCurr)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27440, 27432])).
% 40.58/27.02 tff(27442,plain,
% 40.58/27.02 (~(constB153 = sK0_VarCurr)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27441, 72])).
% 40.58/27.02 tff(27443,assumption,(constB149 = sK0_VarCurr), introduced(assumption)).
% 40.58/27.02 tff(27444,plain,
% 40.58/27.02 (v180(constB149) <=> v180(sK0_VarCurr)),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27443])).
% 40.58/27.02 tff(27445,plain,
% 40.58/27.02 (v180(sK0_VarCurr) <=> v180(constB149)),
% 40.58/27.02 inference(symmetry,[status(thm)],[27444])).
% 40.58/27.02 tff(27446,plain,
% 40.58/27.02 (v180(constB149)),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[11002, 27445])).
% 40.58/27.02 tff(27447,plain,
% 40.58/27.02 (v125(constB145)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19044, 1308, 21107, 18959, 21117])).
% 40.58/27.02 tff(27448,plain,
% 40.58/27.02 (v113(constB145)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19048, 1294, 27447])).
% 40.58/27.02 tff(27449,plain,
% 40.58/27.02 (v112(constB145)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19057, 27448])).
% 40.58/27.02 tff(27450,plain,
% 40.58/27.02 (v108(constB145)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19061, 320, 27449])).
% 40.58/27.02 tff(27451,plain,
% 40.58/27.02 (v110(constB146)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19072, 27450])).
% 40.58/27.02 tff(27452,plain,
% 40.58/27.02 (v100(constB146)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19098, 27451])).
% 40.58/27.02 tff(27453,plain,
% 40.58/27.02 (~v121(constB145)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19110, 2586, 21117])).
% 40.58/27.02 tff(27454,plain,
% 40.58/27.02 (~v123(constB145)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19118, 2626, 18959])).
% 40.58/27.02 tff(27455,plain,
% 40.58/27.02 (~v119(constB145)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19102, 2604, 18959])).
% 40.58/27.02 tff(27456,plain,
% 40.58/27.02 (~v122(constB145)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19114, 3526, 21117])).
% 40.58/27.02 tff(27457,plain,
% 40.58/27.02 (~v120(constB145)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19106, 2615, 18959])).
% 40.58/27.02 tff(27458,plain,
% 40.58/27.02 (~v130(constB145, bitIndex2)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19126, 1993, 18963, 27457, 27456, 27455, 27454, 27453])).
% 40.58/27.02 tff(27459,plain,
% 40.58/27.02 (~v127(constB145, bitIndex2)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19135, 27458])).
% 40.58/27.02 tff(27460,plain,
% 40.58/27.02 (~v129(constB146, bitIndex2)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19140, 27459])).
% 40.58/27.02 tff(27461,plain,
% 40.58/27.02 ((~v90(constB146, bitIndex2)) | (~v100(constB146))),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19147, 468, 27460])).
% 40.58/27.02 tff(27462,plain,
% 40.58/27.02 (~v90(constB146, bitIndex2)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27461, 27452])).
% 40.58/27.02 tff(27463,plain,
% 40.58/27.02 (~v90(constB147, bitIndex2)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19175, 27462])).
% 40.58/27.02 tff(27464,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB147, bitIndex2) | (~v88(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB147, bitIndex2) | (~v88(constB147, bitIndex2)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27465,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB147, bitIndex2) | (~v88(constB147, bitIndex2)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27466,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB147, bitIndex2) | (~v88(constB147, bitIndex2))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27465, 27464])).
% 40.58/27.02 tff(27467,plain,
% 40.58/27.02 (~v88(constB147, bitIndex2)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27466, 22090, 27463])).
% 40.58/27.02 tff(27468,plain,
% 40.58/27.02 (~v130(constB145, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19217, 1562, 18963, 27457, 27456, 27455, 27454, 27453])).
% 40.58/27.02 tff(27469,plain,
% 40.58/27.02 (~v127(constB145, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19226, 27468])).
% 40.58/27.02 tff(27470,plain,
% 40.58/27.02 (~v129(constB146, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19231, 27469])).
% 40.58/27.02 tff(27471,plain,
% 40.58/27.02 ((~v90(constB146, bitIndex1)) | (~v100(constB146))),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19238, 560, 27470])).
% 40.58/27.02 tff(27472,plain,
% 40.58/27.02 (~v90(constB146, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27471, 27452])).
% 40.58/27.02 tff(27473,plain,
% 40.58/27.02 (~v90(constB147, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19248, 27472])).
% 40.58/27.02 tff(27474,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB147, bitIndex1) | (~v88(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB147, bitIndex1) | (~v88(constB147, bitIndex1)))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27475,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB147, bitIndex1) | (~v88(constB147, bitIndex1)))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27476,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB147, bitIndex1) | (~v88(constB147, bitIndex1))),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27475, 27474])).
% 40.58/27.02 tff(27477,plain,
% 40.58/27.02 (~v88(constB147, bitIndex1)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27476, 10784, 27473])).
% 40.58/27.02 tff(27478,plain,
% 40.58/27.02 (v130(constB145, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19182, 2753, 18963, 27457, 27456, 27455, 27454, 27453])).
% 40.58/27.02 tff(27479,plain,
% 40.58/27.02 (v127(constB145, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19188, 27478])).
% 40.58/27.02 tff(27480,plain,
% 40.58/27.02 (v129(constB146, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19193, 27479])).
% 40.58/27.02 tff(27481,plain,
% 40.58/27.02 (v90(constB146, bitIndex0) | (~v100(constB146))),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19200, 631, 27480])).
% 40.58/27.02 tff(27482,plain,
% 40.58/27.02 (v90(constB146, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27481, 27452])).
% 40.58/27.02 tff(27483,plain,
% 40.58/27.02 (v90(constB147, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[19210, 27482])).
% 40.58/27.02 tff(27484,plain,
% 40.58/27.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27485,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0))),
% 40.58/27.02 inference(quant_inst,[status(thm)],[])).
% 40.58/27.02 tff(27486,plain,
% 40.58/27.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0)),
% 40.58/27.02 inference(modus_ponens,[status(thm)],[27485, 27484])).
% 40.58/27.02 tff(27487,plain,
% 40.58/27.02 (v88(constB147, bitIndex0)),
% 40.58/27.02 inference(unit_resolution,[status(thm)],[27486, 10622, 27483])).
% 40.58/27.02 tff(27488,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB147, bitIndex0)) | v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | v140(constB147))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB147, bitIndex0)) | v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | v140(constB147))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27489,plain,
% 40.58/27.02 ((v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147)) <=> ((~v88(constB147, bitIndex0)) | v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | v140(constB147))),
% 40.58/27.02 inference(rewrite,[status(thm)],[])).
% 40.58/27.02 tff(27490,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB147, bitIndex0)) | v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | v140(constB147)))),
% 40.58/27.02 inference(monotonicity,[status(thm)],[27489])).
% 40.58/27.02 tff(27491,plain,
% 40.58/27.02 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB147, bitIndex0)) | v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | v140(constB147))),
% 40.58/27.02 inference(transitivity,[status(thm)],[27490, 27488])).
% 40.58/27.02 tff(27492,plain,
% 40.58/27.02 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27493,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB147, bitIndex0)) | v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | v140(constB147)),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27492, 27491])).
% 40.58/27.03 tff(27494,plain,
% 40.58/27.03 (v140(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27493, 26634, 27487, 27477, 27467])).
% 40.58/27.03 tff(27495,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB147) | (~v140(constB147)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB147) | (~v140(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27496,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB147) | (~v140(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27497,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB147) | (~v140(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27496, 27495])).
% 40.58/27.03 tff(27498,plain,
% 40.58/27.03 (v170(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27497, 26648, 27494])).
% 40.58/27.03 tff(27499,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB147) | (~v170(constB147)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB147) | (~v170(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27500,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB147) | (~v170(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27501,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB147) | (~v170(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27500, 27499])).
% 40.58/27.03 tff(27502,plain,
% 40.58/27.03 (v167(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27501, 26659, 27498])).
% 40.58/27.03 tff(27503,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB147) | (~v167(constB147)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB147) | (~v167(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27504,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB147) | (~v167(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27505,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB147) | (~v167(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27504, 27503])).
% 40.58/27.03 tff(27506,plain,
% 40.58/27.03 (v166(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27505, 22146, 27502])).
% 40.58/27.03 tff(27507,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB147) | (~v166(constB147)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB147) | (~v166(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27508,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB147) | (~v166(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27509,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB147) | (~v166(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27508, 27507])).
% 40.58/27.03 tff(27510,plain,
% 40.58/27.03 (v165(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27509, 21181, 27506])).
% 40.58/27.03 tff(27511,plain,
% 40.58/27.03 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB147)) | (~v170(constB147)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB147)) | (~v170(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27512,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB147)) | (~v170(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27513,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB147)) | (~v170(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27512, 27511])).
% 40.58/27.03 tff(27514,plain,
% 40.58/27.03 (~v169(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27513, 26678, 27498])).
% 40.58/27.03 tff(27515,plain,
% 40.58/27.03 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB147)) | v169(constB147) | (~v165(constB147)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB147)) | v169(constB147) | (~v165(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27516,plain,
% 40.58/27.03 (((~v165(constB147)) | v169(constB147) | (~v162(constB147))) <=> ((~v162(constB147)) | v169(constB147) | (~v165(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27517,plain,
% 40.58/27.03 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB147)) | v169(constB147) | (~v162(constB147)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB147)) | v169(constB147) | (~v165(constB147))))),
% 40.58/27.03 inference(monotonicity,[status(thm)],[27516])).
% 40.58/27.03 tff(27518,plain,
% 40.58/27.03 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB147)) | v169(constB147) | (~v162(constB147)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB147)) | v169(constB147) | (~v165(constB147)))),
% 40.58/27.03 inference(transitivity,[status(thm)],[27517, 27515])).
% 40.58/27.03 tff(27519,plain,
% 40.58/27.03 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB147)) | v169(constB147) | (~v162(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27520,plain,
% 40.58/27.03 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB147)) | v169(constB147) | (~v165(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27519, 27518])).
% 40.58/27.03 tff(27521,plain,
% 40.58/27.03 ((~v162(constB147)) | (~v165(constB147))),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27520, 11073, 27514])).
% 40.58/27.03 tff(27522,plain,
% 40.58/27.03 (~v162(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27521, 27510])).
% 40.58/27.03 tff(27523,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB147) | (~v187(constB147)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB147) | (~v187(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27524,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB147) | (~v187(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27525,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB147) | (~v187(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27524, 27523])).
% 40.58/27.03 tff(27526,plain,
% 40.58/27.03 (~v187(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27525, 11087, 27522])).
% 40.58/27.03 tff(27527,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB147) | (~v185(constB147)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB147) | (~v185(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27528,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB147) | (~v185(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27529,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB147) | (~v185(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27528, 27527])).
% 40.58/27.03 tff(27530,plain,
% 40.58/27.03 (~v185(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27529, 11098, 27526])).
% 40.58/27.03 tff(27531,assumption,(v18(constB148)), introduced(assumption)).
% 40.58/27.03 tff(27532,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB148))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27533,plain,
% 40.58/27.03 ($false),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27532, 11110, 27531])).
% 40.58/27.03 tff(27534,plain,(~v18(constB148)), inference(lemma,lemma(discharge,[]))).
% 40.58/27.03 tff(27535,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27536,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27537,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27536, 27535])).
% 40.58/27.03 tff(27538,plain,
% 40.58/27.03 (v22(constB148)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27537, 11120, 19324])).
% 40.58/27.03 tff(27539,plain,
% 40.58/27.03 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB148)) | (~v22(constB148)) | v18(constB148))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB148)) | (~v22(constB148)) | v18(constB148))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27540,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB148)) | (~v22(constB148)) | v18(constB148))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27541,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB148)) | (~v22(constB148)) | v18(constB148)),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27540, 27539])).
% 40.58/27.03 tff(27542,plain,
% 40.58/27.03 ((~v19(constB148)) | v18(constB148)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27541, 11134, 27538])).
% 40.58/27.03 tff(27543,plain,
% 40.58/27.03 (~v19(constB148)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27542, 27534])).
% 40.58/27.03 tff(27544,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27545,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27546,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148)),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27545, 27544])).
% 40.58/27.03 tff(27547,plain,
% 40.58/27.03 (v13(constB148)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27546, 11149, 27543])).
% 40.58/27.03 tff(27548,plain,
% 40.58/27.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27549,plain,
% 40.58/27.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27550,plain,
% 40.58/27.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147)),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27549, 27548])).
% 40.58/27.03 tff(27551,plain,
% 40.58/27.03 ((~v13(constB148)) | v9(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27550, 11163, 19304])).
% 40.58/27.03 tff(27552,plain,
% 40.58/27.03 (v9(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27551, 27547])).
% 40.58/27.03 tff(27553,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v184(constB147))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB147) | (~v9(constB147)) | v184(constB147))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27554,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v184(constB147))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27555,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB147) | (~v9(constB147)) | v184(constB147)),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27554, 27553])).
% 40.58/27.03 tff(27556,plain,
% 40.58/27.03 ((~v9(constB147)) | v184(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27555, 11178, 19152])).
% 40.58/27.03 tff(27557,plain,
% 40.58/27.03 (v184(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27556, 27552])).
% 40.58/27.03 tff(27558,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB147) | (~v184(constB147)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB147) | (~v184(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27559,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB147) | (~v184(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27560,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB147) | (~v184(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27559, 27558])).
% 40.58/27.03 tff(27561,plain,
% 40.58/27.03 (v183(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27560, 11190, 27557])).
% 40.58/27.03 tff(27562,plain,
% 40.58/27.03 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB147)) | (~v183(constB147)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB147)) | (~v183(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27563,plain,
% 40.58/27.03 (((~v183(constB147)) | (~v181(constB147))) <=> ((~v181(constB147)) | (~v183(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27564,plain,
% 40.58/27.03 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB147)) | (~v181(constB147)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB147)) | (~v183(constB147))))),
% 40.58/27.03 inference(monotonicity,[status(thm)],[27563])).
% 40.58/27.03 tff(27565,plain,
% 40.58/27.03 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB147)) | (~v181(constB147)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB147)) | (~v183(constB147)))),
% 40.58/27.03 inference(transitivity,[status(thm)],[27564, 27562])).
% 40.58/27.03 tff(27566,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB147)) | (~v181(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27567,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB147)) | (~v183(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27566, 27565])).
% 40.58/27.03 tff(27568,plain,
% 40.58/27.03 (~v181(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27567, 11201, 27561])).
% 40.58/27.03 tff(27569,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB147) | v185(constB147) | (~v178(constB147)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB147) | v185(constB147) | (~v178(constB147)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27570,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB147) | v185(constB147) | (~v178(constB147)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27571,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB147) | v185(constB147) | (~v178(constB147))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 40.58/27.03 tff(27572,plain,
% 40.58/27.03 (v185(constB147) | (~v178(constB147))),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27571, 11215, 27568])).
% 40.58/27.03 tff(27573,plain,
% 40.58/27.03 (~v178(constB147)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27572, 27530])).
% 40.58/27.03 tff(27574,plain,
% 40.58/27.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB147, constB148)) | v178(constB147) | (~v180(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB147, constB148)) | v178(constB147) | (~v180(constB148)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27575,plain,
% 40.58/27.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB147, constB148)) | v178(constB147) | (~v180(constB148)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27576,plain,
% 40.58/27.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB147, constB148)) | v178(constB147) | (~v180(constB148))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27575, 27574])).
% 40.58/27.03 tff(27577,plain,
% 40.58/27.03 (v178(constB147) | (~v180(constB148))),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27576, 11230, 19304])).
% 40.58/27.03 tff(27578,plain,
% 40.58/27.03 (~v180(constB148)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27577, 27573])).
% 40.58/27.03 tff(27579,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB148) | (~v181(constB148)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB148) | (~v181(constB148)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27580,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB148) | (~v181(constB148)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27581,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB148) | (~v181(constB148))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27580, 27579])).
% 40.58/27.03 tff(27582,plain,
% 40.58/27.03 (~v181(constB148)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27581, 11242, 27578])).
% 40.58/27.03 tff(27583,plain,
% 40.58/27.03 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB148)) | (~v184(constB148)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB148)) | (~v184(constB148)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27584,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB148)) | (~v184(constB148)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27585,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB148)) | (~v184(constB148))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27584, 27583])).
% 40.58/27.03 tff(27586,plain,
% 40.58/27.03 (~v184(constB148)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27585, 11253, 19324])).
% 40.58/27.03 tff(27587,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB148) | (~v187(constB148)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB148) | (~v187(constB148)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27588,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB148) | (~v187(constB148)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27589,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB148) | (~v187(constB148))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 40.58/27.03 tff(27590,plain,
% 40.58/27.03 (~v187(constB148)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27589, 11264, 27586])).
% 40.58/27.03 tff(27591,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB148) | (~v185(constB148)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB148) | (~v185(constB148)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27592,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB148) | (~v185(constB148)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27593,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB148) | (~v185(constB148))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27592, 27591])).
% 40.58/27.03 tff(27594,plain,
% 40.58/27.03 (~v185(constB148)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27593, 11098, 27590])).
% 40.58/27.03 tff(27595,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB148) | v185(constB148) | (~v178(constB148)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB148) | v185(constB148) | (~v178(constB148)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27596,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB148) | v185(constB148) | (~v178(constB148)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27597,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB148) | v185(constB148) | (~v178(constB148))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27596, 27595])).
% 40.58/27.03 tff(27598,plain,
% 40.58/27.03 (v181(constB148) | (~v178(constB148))),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27597, 11215, 27594])).
% 40.58/27.03 tff(27599,plain,
% 40.58/27.03 (~v178(constB148)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27598, 27582])).
% 40.58/27.03 tff(27600,plain,
% 40.58/27.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB148, constB149)) | v178(constB148) | (~v180(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB148, constB149)) | v178(constB148) | (~v180(constB149)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27601,plain,
% 40.58/27.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB148, constB149)) | v178(constB148) | (~v180(constB149)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27602,plain,
% 40.58/27.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB148, constB149)) | v178(constB148) | (~v180(constB149))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27601, 27600])).
% 40.58/27.03 tff(27603,plain,
% 40.58/27.03 (v178(constB148) | (~v180(constB149))),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27602, 11230, 19369])).
% 40.58/27.03 tff(27604,plain,
% 40.58/27.03 (~v180(constB149)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27603, 27599])).
% 40.58/27.03 tff(27605,plain,
% 40.58/27.03 ($false),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27604, 27446])).
% 40.58/27.03 tff(27606,plain,((~(constB149 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.58/27.03 tff(27607,plain,
% 40.58/27.03 (~(constB149 = sK0_VarCurr)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27606, 10998])).
% 40.58/27.03 tff(27608,assumption,(constB40 = sK0_VarCurr), introduced(assumption)).
% 40.58/27.03 tff(27609,plain,
% 40.58/27.03 (v1(constB40) <=> v1(sK0_VarCurr)),
% 40.58/27.03 inference(monotonicity,[status(thm)],[27608])).
% 40.58/27.03 tff(27610,plain,
% 40.58/27.03 (v1(sK0_VarCurr) <=> v1(constB40)),
% 40.58/27.03 inference(symmetry,[status(thm)],[27609])).
% 40.58/27.03 tff(27611,plain,
% 40.58/27.03 ((~v1(sK0_VarCurr)) <=> (~v1(constB40))),
% 40.58/27.03 inference(monotonicity,[status(thm)],[27610])).
% 40.58/27.03 tff(27612,plain,
% 40.58/27.03 (~v1(constB40)),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[21332, 27611])).
% 40.58/27.03 tff(27613,plain,
% 40.58/27.03 ($false),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[5425, 27612])).
% 40.58/27.03 tff(27614,plain,((~(constB40 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.58/27.03 tff(27615,plain,
% 40.58/27.03 (~(constB40 = sK0_VarCurr)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27614, 21327])).
% 40.58/27.03 tff(27616,assumption,(constB137 = sK0_VarCurr), introduced(assumption)).
% 40.58/27.03 tff(27617,plain,
% 40.58/27.03 (v180(constB137) <=> v180(sK0_VarCurr)),
% 40.58/27.03 inference(monotonicity,[status(thm)],[27616])).
% 40.58/27.03 tff(27618,plain,
% 40.58/27.03 (v180(sK0_VarCurr) <=> v180(constB137)),
% 40.58/27.03 inference(symmetry,[status(thm)],[27617])).
% 40.58/27.03 tff(27619,plain,
% 40.58/27.03 (v180(constB137)),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[11002, 27618])).
% 40.58/27.03 tff(27620,plain,
% 40.58/27.03 (((~![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)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27621,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB135, bitIndex2) | (~v88(constB135, bitIndex2)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27622,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB135, bitIndex2) | (~v88(constB135, bitIndex2))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27621, 27620])).
% 40.58/27.03 tff(27623,plain,
% 40.58/27.03 (~v88(constB135, bitIndex2)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27622, 22090, 17663])).
% 40.58/27.03 tff(27624,plain,
% 40.58/27.03 (((~![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)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27625,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB135, bitIndex1) | (~v88(constB135, bitIndex1)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27626,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB135, bitIndex1) | (~v88(constB135, bitIndex1))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27625, 27624])).
% 40.58/27.03 tff(27627,plain,
% 40.58/27.03 (~v88(constB135, bitIndex1)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27626, 10784, 17619])).
% 40.58/27.03 tff(27628,plain,
% 40.58/27.03 (((~![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))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27629,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27630,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0)),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27629, 27628])).
% 40.58/27.03 tff(27631,plain,
% 40.58/27.03 (v88(constB135, bitIndex0)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27630, 10622, 17740])).
% 40.58/27.03 tff(27632,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27633,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27634,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135)),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27633, 27632])).
% 40.58/27.03 tff(27635,plain,
% 40.58/27.03 (v140(constB135)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27634, 26634, 27631, 27627, 27623])).
% 40.58/27.03 tff(27636,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB135) | (~v140(constB135)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB135) | (~v140(constB135)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27637,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB135) | (~v140(constB135)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27638,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB135) | (~v140(constB135))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27637, 27636])).
% 40.58/27.03 tff(27639,plain,
% 40.58/27.03 (v170(constB135)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27638, 26648, 27635])).
% 40.58/27.03 tff(27640,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB135) | (~v170(constB135)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB135) | (~v170(constB135)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27641,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB135) | (~v170(constB135)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27642,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB135) | (~v170(constB135))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27641, 27640])).
% 40.58/27.03 tff(27643,plain,
% 40.58/27.03 (v167(constB135)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27642, 26659, 27639])).
% 40.58/27.03 tff(27644,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27645,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27646,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27645, 27644])).
% 40.58/27.03 tff(27647,plain,
% 40.58/27.03 (v166(constB135)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27646, 22146, 27643])).
% 40.58/27.03 tff(27648,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB135) | (~v166(constB135)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB135) | (~v166(constB135)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27649,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB135) | (~v166(constB135)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27650,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB135) | (~v166(constB135))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27649, 27648])).
% 40.58/27.03 tff(27651,plain,
% 40.58/27.03 (v165(constB135)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27650, 21181, 27647])).
% 40.58/27.03 tff(27652,plain,
% 40.58/27.03 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB135)) | (~v170(constB135)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB135)) | (~v170(constB135)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27653,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB135)) | (~v170(constB135)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27654,plain,
% 40.58/27.03 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB135)) | (~v170(constB135))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27653, 27652])).
% 40.58/27.03 tff(27655,plain,
% 40.58/27.03 (~v169(constB135)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27654, 26678, 27639])).
% 40.58/27.03 tff(27656,plain,
% 40.58/27.03 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB135)) | (~v165(constB135)) | v169(constB135))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB135)) | (~v165(constB135)) | v169(constB135))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27657,plain,
% 40.58/27.03 (((~v165(constB135)) | v169(constB135) | (~v162(constB135))) <=> ((~v162(constB135)) | (~v165(constB135)) | v169(constB135))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27658,plain,
% 40.58/27.03 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB135)) | v169(constB135) | (~v162(constB135)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB135)) | (~v165(constB135)) | v169(constB135)))),
% 40.58/27.03 inference(monotonicity,[status(thm)],[27657])).
% 40.58/27.03 tff(27659,plain,
% 40.58/27.03 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB135)) | v169(constB135) | (~v162(constB135)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB135)) | (~v165(constB135)) | v169(constB135))),
% 40.58/27.03 inference(transitivity,[status(thm)],[27658, 27656])).
% 40.58/27.03 tff(27660,plain,
% 40.58/27.03 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB135)) | v169(constB135) | (~v162(constB135)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27661,plain,
% 40.58/27.03 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB135)) | (~v165(constB135)) | v169(constB135)),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27660, 27659])).
% 40.58/27.03 tff(27662,plain,
% 40.58/27.03 ((~v162(constB135)) | (~v165(constB135))),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27661, 11073, 27655])).
% 40.58/27.03 tff(27663,plain,
% 40.58/27.03 (~v162(constB135)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27662, 27651])).
% 40.58/27.03 tff(27664,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB135) | (~v187(constB135)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB135) | (~v187(constB135)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27665,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB135) | (~v187(constB135)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27666,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB135) | (~v187(constB135))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27665, 27664])).
% 40.58/27.03 tff(27667,plain,
% 40.58/27.03 (~v187(constB135)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27666, 11087, 27663])).
% 40.58/27.03 tff(27668,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB135) | (~v185(constB135)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB135) | (~v185(constB135)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27669,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB135) | (~v185(constB135)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27670,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB135) | (~v185(constB135))),
% 40.58/27.03 inference(modus_ponens,[status(thm)],[27669, 27668])).
% 40.58/27.03 tff(27671,plain,
% 40.58/27.03 (~v185(constB135)),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27670, 11098, 27667])).
% 40.58/27.03 tff(27672,assumption,(v18(constB136)), introduced(assumption)).
% 40.58/27.03 tff(27673,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB136))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.58/27.03 tff(27674,plain,
% 40.58/27.03 ($false),
% 40.58/27.03 inference(unit_resolution,[status(thm)],[27673, 11110, 27672])).
% 40.58/27.03 tff(27675,plain,(~v18(constB136)), inference(lemma,lemma(discharge,[]))).
% 40.58/27.03 tff(27676,plain,
% 40.58/27.03 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB136) | (~v1(constB136)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB136) | (~v1(constB136)))),
% 40.58/27.03 inference(rewrite,[status(thm)],[])).
% 40.58/27.03 tff(27677,plain,
% 40.58/27.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB136) | (~v1(constB136)))),
% 40.58/27.03 inference(quant_inst,[status(thm)],[])).
% 40.60/27.03 tff(27678,plain,
% 40.60/27.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB136) | (~v1(constB136))),
% 40.60/27.03 inference(modus_ponens,[status(thm)],[27677, 27676])).
% 40.60/27.03 tff(27679,plain,
% 40.60/27.03 (v22(constB136)),
% 40.60/27.03 inference(unit_resolution,[status(thm)],[27678, 11120, 17786])).
% 40.60/27.03 tff(27680,plain,
% 40.60/27.03 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB136)) | (~v22(constB136)) | v18(constB136))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB136)) | (~v22(constB136)) | v18(constB136))),
% 40.60/27.03 inference(rewrite,[status(thm)],[])).
% 40.60/27.03 tff(27681,plain,
% 40.60/27.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB136)) | (~v22(constB136)) | v18(constB136))),
% 40.60/27.03 inference(quant_inst,[status(thm)],[])).
% 40.60/27.03 tff(27682,plain,
% 40.60/27.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB136)) | (~v22(constB136)) | v18(constB136)),
% 40.60/27.03 inference(modus_ponens,[status(thm)],[27681, 27680])).
% 40.60/27.03 tff(27683,plain,
% 40.60/27.03 ((~v19(constB136)) | v18(constB136)),
% 40.60/27.03 inference(unit_resolution,[status(thm)],[27682, 11134, 27679])).
% 40.60/27.03 tff(27684,plain,
% 40.60/27.03 (~v19(constB136)),
% 40.60/27.03 inference(unit_resolution,[status(thm)],[27683, 27675])).
% 40.60/27.03 tff(27685,plain,
% 40.60/27.03 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB136) | v19(constB136))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB136) | v19(constB136))),
% 40.60/27.03 inference(rewrite,[status(thm)],[])).
% 40.60/27.03 tff(27686,plain,
% 40.60/27.03 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB136) | v19(constB136))),
% 40.60/27.03 inference(quant_inst,[status(thm)],[])).
% 40.60/27.03 tff(27687,plain,
% 40.60/27.03 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB136) | v19(constB136)),
% 40.60/27.03 inference(modus_ponens,[status(thm)],[27686, 27685])).
% 40.60/27.03 tff(27688,plain,
% 40.60/27.03 (v13(constB136)),
% 40.60/27.03 inference(unit_resolution,[status(thm)],[27687, 11149, 27684])).
% 40.60/27.03 tff(27689,plain,
% 40.60/27.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB135, constB136)) | (~v13(constB136)) | v9(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB135, constB136)) | (~v13(constB136)) | v9(constB135))),
% 40.60/27.03 inference(rewrite,[status(thm)],[])).
% 40.60/27.03 tff(27690,plain,
% 40.60/27.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB135, constB136)) | (~v13(constB136)) | v9(constB135))),
% 40.60/27.03 inference(quant_inst,[status(thm)],[])).
% 40.60/27.03 tff(27691,plain,
% 40.60/27.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB135, constB136)) | (~v13(constB136)) | v9(constB135)),
% 40.60/27.03 inference(modus_ponens,[status(thm)],[27690, 27689])).
% 40.60/27.03 tff(27692,plain,
% 40.60/27.03 ((~v13(constB136)) | v9(constB135)),
% 40.60/27.03 inference(unit_resolution,[status(thm)],[27691, 11163, 17767])).
% 40.60/27.03 tff(27693,plain,
% 40.60/27.03 (v9(constB135)),
% 40.60/27.03 inference(unit_resolution,[status(thm)],[27692, 27688])).
% 40.60/27.03 tff(27694,plain,
% 40.60/27.03 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB135) | (~v9(constB135)) | v184(constB135))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB135) | (~v9(constB135)) | v184(constB135))),
% 40.60/27.03 inference(rewrite,[status(thm)],[])).
% 40.60/27.03 tff(27695,plain,
% 40.60/27.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB135) | (~v9(constB135)) | v184(constB135))),
% 40.60/27.03 inference(quant_inst,[status(thm)],[])).
% 40.60/27.03 tff(27696,plain,
% 40.60/27.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB135) | (~v9(constB135)) | v184(constB135)),
% 40.60/27.03 inference(modus_ponens,[status(thm)],[27695, 27694])).
% 40.60/27.03 tff(27697,plain,
% 40.60/27.03 ((~v9(constB135)) | v184(constB135)),
% 40.60/27.03 inference(unit_resolution,[status(thm)],[27696, 11178, 17595])).
% 40.60/27.03 tff(27698,plain,
% 40.60/27.03 (v184(constB135)),
% 40.60/27.03 inference(unit_resolution,[status(thm)],[27697, 27693])).
% 40.60/27.03 tff(27699,plain,
% 40.60/27.03 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB135) | (~v184(constB135)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB135) | (~v184(constB135)))),
% 40.60/27.03 inference(rewrite,[status(thm)],[])).
% 40.60/27.03 tff(27700,plain,
% 40.60/27.03 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB135) | (~v184(constB135)))),
% 40.60/27.03 inference(quant_inst,[status(thm)],[])).
% 40.60/27.03 tff(27701,plain,
% 40.60/27.03 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB135) | (~v184(constB135))),
% 40.60/27.03 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 40.60/27.03 tff(27702,plain,
% 40.60/27.03 (v183(constB135)),
% 40.60/27.03 inference(unit_resolution,[status(thm)],[27701, 11190, 27698])).
% 40.60/27.03 tff(27703,plain,
% 40.60/27.03 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB135)) | (~v183(constB135)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB135)) | (~v183(constB135)))),
% 40.60/27.03 inference(rewrite,[status(thm)],[])).
% 40.60/27.03 tff(27704,plain,
% 40.60/27.03 (((~v183(constB135)) | (~v181(constB135))) <=> ((~v181(constB135)) | (~v183(constB135)))),
% 40.60/27.03 inference(rewrite,[status(thm)],[])).
% 40.60/27.03 tff(27705,plain,
% 40.60/27.03 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB135)) | (~v181(constB135)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB135)) | (~v183(constB135))))),
% 40.60/27.03 inference(monotonicity,[status(thm)],[27704])).
% 40.60/27.03 tff(27706,plain,
% 40.60/27.03 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB135)) | (~v181(constB135)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB135)) | (~v183(constB135)))),
% 40.60/27.03 inference(transitivity,[status(thm)],[27705, 27703])).
% 40.60/27.03 tff(27707,plain,
% 40.60/27.03 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB135)) | (~v181(constB135)))),
% 40.60/27.03 inference(quant_inst,[status(thm)],[])).
% 40.60/27.03 tff(27708,plain,
% 40.60/27.03 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB135)) | (~v183(constB135))),
% 40.60/27.03 inference(modus_ponens,[status(thm)],[27707, 27706])).
% 40.60/27.03 tff(27709,plain,
% 40.60/27.03 (~v181(constB135)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27708, 11201, 27702])).
% 40.60/27.04 tff(27710,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB135) | v185(constB135) | (~v178(constB135)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB135) | v185(constB135) | (~v178(constB135)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27711,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB135) | v185(constB135) | (~v178(constB135)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27712,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB135) | v185(constB135) | (~v178(constB135))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27711, 27710])).
% 40.60/27.04 tff(27713,plain,
% 40.60/27.04 (v185(constB135) | (~v178(constB135))),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27712, 11215, 27709])).
% 40.60/27.04 tff(27714,plain,
% 40.60/27.04 (~v178(constB135)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27713, 27671])).
% 40.60/27.04 tff(27715,plain,
% 40.60/27.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB135, constB136)) | v178(constB135) | (~v180(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB135, constB136)) | v178(constB135) | (~v180(constB136)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27716,plain,
% 40.60/27.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB135, constB136)) | v178(constB135) | (~v180(constB136)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27717,plain,
% 40.60/27.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB135, constB136)) | v178(constB135) | (~v180(constB136))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27716, 27715])).
% 40.60/27.04 tff(27718,plain,
% 40.60/27.04 (v178(constB135) | (~v180(constB136))),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27717, 11230, 17767])).
% 40.60/27.04 tff(27719,plain,
% 40.60/27.04 (~v180(constB136)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27718, 27714])).
% 40.60/27.04 tff(27720,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB136) | (~v181(constB136)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB136) | (~v181(constB136)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27721,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB136) | (~v181(constB136)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27722,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB136) | (~v181(constB136))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27721, 27720])).
% 40.60/27.04 tff(27723,plain,
% 40.60/27.04 (~v181(constB136)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27722, 11242, 27719])).
% 40.60/27.04 tff(27724,plain,
% 40.60/27.04 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB136)) | (~v184(constB136)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB136)) | (~v184(constB136)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27725,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB136)) | (~v184(constB136)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27726,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB136)) | (~v184(constB136))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27725, 27724])).
% 40.60/27.04 tff(27727,plain,
% 40.60/27.04 (~v184(constB136)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27726, 11253, 17786])).
% 40.60/27.04 tff(27728,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB136) | (~v187(constB136)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB136) | (~v187(constB136)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27729,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB136) | (~v187(constB136)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27730,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB136) | (~v187(constB136))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27729, 27728])).
% 40.60/27.04 tff(27731,plain,
% 40.60/27.04 (~v187(constB136)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27730, 11264, 27727])).
% 40.60/27.04 tff(27732,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB136) | (~v185(constB136)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB136) | (~v185(constB136)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27733,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB136) | (~v185(constB136)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27734,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB136) | (~v185(constB136))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27733, 27732])).
% 40.60/27.04 tff(27735,plain,
% 40.60/27.04 (~v185(constB136)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27734, 11098, 27731])).
% 40.60/27.04 tff(27736,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB136) | v185(constB136) | (~v178(constB136)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB136) | v185(constB136) | (~v178(constB136)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27737,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB136) | v185(constB136) | (~v178(constB136)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27738,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB136) | v185(constB136) | (~v178(constB136))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27737, 27736])).
% 40.60/27.04 tff(27739,plain,
% 40.60/27.04 (v181(constB136) | (~v178(constB136))),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27738, 11215, 27735])).
% 40.60/27.04 tff(27740,plain,
% 40.60/27.04 (~v178(constB136)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27739, 27723])).
% 40.60/27.04 tff(27741,plain,
% 40.60/27.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v178(constB136) | (~v180(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB136, constB137)) | v178(constB136) | (~v180(constB137)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27742,plain,
% 40.60/27.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v178(constB136) | (~v180(constB137)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27743,plain,
% 40.60/27.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB136, constB137)) | v178(constB136) | (~v180(constB137))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27742, 27741])).
% 40.60/27.04 tff(27744,plain,
% 40.60/27.04 (v178(constB136) | (~v180(constB137))),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27743, 11230, 18049])).
% 40.60/27.04 tff(27745,plain,
% 40.60/27.04 (~v180(constB137)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27744, 27740])).
% 40.60/27.04 tff(27746,plain,
% 40.60/27.04 ($false),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27745, 27619])).
% 40.60/27.04 tff(27747,plain,((~(constB137 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.60/27.04 tff(27748,plain,
% 40.60/27.04 (~(constB137 = sK0_VarCurr)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27747, 10998])).
% 40.60/27.04 tff(27749,assumption,(constB190 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.04 tff(27750,plain,
% 40.60/27.04 (v1(constB190) <=> v1(sK0_VarCurr)),
% 40.60/27.04 inference(monotonicity,[status(thm)],[27749])).
% 40.60/27.04 tff(27751,plain,
% 40.60/27.04 (v1(sK0_VarCurr) <=> v1(constB190)),
% 40.60/27.04 inference(symmetry,[status(thm)],[27750])).
% 40.60/27.04 tff(27752,plain,
% 40.60/27.04 ((~v1(sK0_VarCurr)) <=> (~v1(constB190))),
% 40.60/27.04 inference(monotonicity,[status(thm)],[27751])).
% 40.60/27.04 tff(27753,plain,
% 40.60/27.04 (~v1(constB190)),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[21332, 27752])).
% 40.60/27.04 tff(27754,plain,
% 40.60/27.04 ($false),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[26094, 27753])).
% 40.60/27.04 tff(27755,plain,((~(constB190 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.04 tff(27756,plain,
% 40.60/27.04 (~(constB190 = sK0_VarCurr)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27755, 21327])).
% 40.60/27.04 tff(27757,plain,
% 40.60/27.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB189, bitIndex2)) | v88(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB189, bitIndex2)) | v88(constB189, bitIndex2))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27758,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB189, bitIndex2)) | v88(constB189, bitIndex2))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27759,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB189, bitIndex2)) | v88(constB189, bitIndex2)),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27758, 27757])).
% 40.60/27.04 tff(27760,plain,
% 40.60/27.04 (v88(constB189, bitIndex2)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27759, 10566, 25974])).
% 40.60/27.04 tff(27761,plain,
% 40.60/27.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v139(constB189)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v139(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27762,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v139(constB189)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27763,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v139(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27762, 27761])).
% 40.60/27.04 tff(27764,plain,
% 40.60/27.04 (~v139(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27763, 10904, 27760])).
% 40.60/27.04 tff(27765,plain,
% 40.60/27.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v140(constB189)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v140(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27766,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v140(constB189)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27767,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v140(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27766, 27765])).
% 40.60/27.04 tff(27768,plain,
% 40.60/27.04 (~v140(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27767, 10577, 27760])).
% 40.60/27.04 tff(27769,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB189) | v140(constB189) | (~v170(constB189)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB189) | v140(constB189) | (~v170(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27770,plain,
% 40.60/27.04 ((v140(constB189) | v139(constB189) | (~v170(constB189))) <=> (v139(constB189) | v140(constB189) | (~v170(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27771,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB189) | v139(constB189) | (~v170(constB189)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB189) | v140(constB189) | (~v170(constB189))))),
% 40.60/27.04 inference(monotonicity,[status(thm)],[27770])).
% 40.60/27.04 tff(27772,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB189) | v139(constB189) | (~v170(constB189)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB189) | v140(constB189) | (~v170(constB189)))),
% 40.60/27.04 inference(transitivity,[status(thm)],[27771, 27769])).
% 40.60/27.04 tff(27773,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB189) | v139(constB189) | (~v170(constB189)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27774,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB189) | v140(constB189) | (~v170(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27773, 27772])).
% 40.60/27.04 tff(27775,plain,
% 40.60/27.04 (~v170(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27774, 10647, 27768, 27764])).
% 40.60/27.04 tff(27776,plain,
% 40.60/27.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v141(constB189)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v141(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27777,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v141(constB189)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27778,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v141(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27777, 27776])).
% 40.60/27.04 tff(27779,plain,
% 40.60/27.04 (~v141(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27778, 10658, 27760])).
% 40.60/27.04 tff(27780,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB189) | v170(constB189) | (~v167(constB189)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB189) | v170(constB189) | (~v167(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27781,plain,
% 40.60/27.04 ((v141(constB189) | (~v167(constB189)) | v170(constB189)) <=> (v141(constB189) | v170(constB189) | (~v167(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27782,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB189) | (~v167(constB189)) | v170(constB189))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB189) | v170(constB189) | (~v167(constB189))))),
% 40.60/27.04 inference(monotonicity,[status(thm)],[27781])).
% 40.60/27.04 tff(27783,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB189) | (~v167(constB189)) | v170(constB189))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB189) | v170(constB189) | (~v167(constB189)))),
% 40.60/27.04 inference(transitivity,[status(thm)],[27782, 27780])).
% 40.60/27.04 tff(27784,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB189) | (~v167(constB189)) | v170(constB189))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27785,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB189) | v170(constB189) | (~v167(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27784, 27783])).
% 40.60/27.04 tff(27786,plain,
% 40.60/27.04 (v170(constB189) | (~v167(constB189))),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27785, 10672, 27779])).
% 40.60/27.04 tff(27787,plain,
% 40.60/27.04 (~v167(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27786, 27775])).
% 40.60/27.04 tff(27788,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB189, bitIndex1) | (~v88(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB189, bitIndex1) | (~v88(constB189, bitIndex1)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27789,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB189, bitIndex1) | (~v88(constB189, bitIndex1)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27790,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB189, bitIndex1) | (~v88(constB189, bitIndex1))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27789, 27788])).
% 40.60/27.04 tff(27791,plain,
% 40.60/27.04 (~v88(constB189, bitIndex1)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27790, 10784, 26008])).
% 40.60/27.04 tff(27792,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB189, bitIndex1) | (~v144(constB189)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB189, bitIndex1) | (~v144(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27793,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB189, bitIndex1) | (~v144(constB189)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27794,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB189, bitIndex1) | (~v144(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27793, 27792])).
% 40.60/27.04 tff(27795,plain,
% 40.60/27.04 (~v144(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27794, 10868, 27791])).
% 40.60/27.04 tff(27796,plain,
% 40.60/27.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v143(constB189)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v143(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27797,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB189, bitIndex2)) | (~v143(constB189)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27798,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB189, bitIndex2)) | (~v143(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27797, 27796])).
% 40.60/27.04 tff(27799,plain,
% 40.60/27.04 (~v143(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27798, 10885, 27760])).
% 40.60/27.04 tff(27800,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB189) | v144(constB189) | (~v142(constB189)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB189) | v144(constB189) | (~v142(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27801,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB189) | v144(constB189) | (~v142(constB189)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27802,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB189) | v144(constB189) | (~v142(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27801, 27800])).
% 40.60/27.04 tff(27803,plain,
% 40.60/27.04 (~v142(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27802, 10711, 27799, 27795])).
% 40.60/27.04 tff(27804,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB189) | v167(constB189) | (~v166(constB189)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB189) | v167(constB189) | (~v166(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27805,plain,
% 40.60/27.04 ((v142(constB189) | (~v166(constB189)) | v167(constB189)) <=> (v142(constB189) | v167(constB189) | (~v166(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27806,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB189) | (~v166(constB189)) | v167(constB189))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB189) | v167(constB189) | (~v166(constB189))))),
% 40.60/27.04 inference(monotonicity,[status(thm)],[27805])).
% 40.60/27.04 tff(27807,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB189) | (~v166(constB189)) | v167(constB189))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB189) | v167(constB189) | (~v166(constB189)))),
% 40.60/27.04 inference(transitivity,[status(thm)],[27806, 27804])).
% 40.60/27.04 tff(27808,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB189) | (~v166(constB189)) | v167(constB189))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27809,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB189) | v167(constB189) | (~v166(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27808, 27807])).
% 40.60/27.04 tff(27810,plain,
% 40.60/27.04 (~v166(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27809, 10725, 27803, 27787])).
% 40.60/27.04 tff(27811,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB189) | v166(constB189))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB189) | v166(constB189))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27812,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB189) | v166(constB189))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27813,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB189) | v166(constB189)),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27812, 27811])).
% 40.60/27.04 tff(27814,plain,
% 40.60/27.04 (v148(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27813, 10739, 27810])).
% 40.60/27.04 tff(27815,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27816,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27817,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB189, bitIndex0) | (~v88(constB189, bitIndex0))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27816, 27815])).
% 40.60/27.04 tff(27818,plain,
% 40.60/27.04 (~v88(constB189, bitIndex0)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27817, 14645, 26042])).
% 40.60/27.04 tff(27819,plain,
% 40.60/27.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB189, bitIndex1) | v146(constB189) | v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB189, bitIndex1) | v146(constB189) | v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27820,plain,
% 40.60/27.04 (((~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1) | v88(constB189, bitIndex0) | v146(constB189)) <=> (v88(constB189, bitIndex1) | v146(constB189) | v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27821,plain,
% 40.60/27.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1) | v88(constB189, bitIndex0) | v146(constB189))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB189, bitIndex1) | v146(constB189) | v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2))))),
% 40.60/27.04 inference(monotonicity,[status(thm)],[27820])).
% 40.60/27.04 tff(27822,plain,
% 40.60/27.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1) | v88(constB189, bitIndex0) | v146(constB189))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB189, bitIndex1) | v146(constB189) | v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2)))),
% 40.60/27.04 inference(transitivity,[status(thm)],[27821, 27819])).
% 40.60/27.04 tff(27823,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB189, bitIndex2)) | v88(constB189, bitIndex1) | v88(constB189, bitIndex0) | v146(constB189))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27824,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB189, bitIndex1) | v146(constB189) | v88(constB189, bitIndex0) | (~v88(constB189, bitIndex2))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27823, 27822])).
% 40.60/27.04 tff(27825,plain,
% 40.60/27.04 (v146(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27824, 14659, 27760, 27818, 27791])).
% 40.60/27.04 tff(27826,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB189) | (~v146(constB189)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB189) | (~v146(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27827,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB189) | (~v146(constB189)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27828,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB189) | (~v146(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27827, 27826])).
% 40.60/27.04 tff(27829,plain,
% 40.60/27.04 (v145(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27828, 14673, 27825])).
% 40.60/27.04 tff(27830,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB189) | (~v145(constB189)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB189) | (~v145(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27831,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB189) | (~v145(constB189)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27832,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB189) | (~v145(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27831, 27830])).
% 40.60/27.04 tff(27833,plain,
% 40.60/27.04 (v165(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27832, 10823, 27829])).
% 40.60/27.04 tff(27834,plain,
% 40.60/27.04 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB189) | (~v165(constB189)) | (~v148(constB189)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB189) | (~v165(constB189)) | (~v148(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27835,plain,
% 40.60/27.04 (((~v148(constB189)) | (~v165(constB189)) | v86(constB189)) <=> (v86(constB189) | (~v165(constB189)) | (~v148(constB189)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27836,plain,
% 40.60/27.04 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB189)) | (~v165(constB189)) | v86(constB189))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB189) | (~v165(constB189)) | (~v148(constB189))))),
% 40.60/27.04 inference(monotonicity,[status(thm)],[27835])).
% 40.60/27.04 tff(27837,plain,
% 40.60/27.04 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB189)) | (~v165(constB189)) | v86(constB189))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB189) | (~v165(constB189)) | (~v148(constB189)))),
% 40.60/27.04 inference(transitivity,[status(thm)],[27836, 27834])).
% 40.60/27.04 tff(27838,plain,
% 40.60/27.04 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB189)) | (~v165(constB189)) | v86(constB189))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27839,plain,
% 40.60/27.04 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB189) | (~v165(constB189)) | (~v148(constB189))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27838, 27837])).
% 40.60/27.04 tff(27840,plain,
% 40.60/27.04 (v86(constB189) | (~v148(constB189))),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27839, 10837, 27833])).
% 40.60/27.04 tff(27841,plain,
% 40.60/27.04 (v86(constB189)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27840, 27814])).
% 40.60/27.04 tff(27842,assumption,(constB189 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.04 tff(27843,plain,
% 40.60/27.04 (v86(constB189) <=> v86(sK0_VarCurr)),
% 40.60/27.04 inference(monotonicity,[status(thm)],[27842])).
% 40.60/27.04 tff(27844,plain,
% 40.60/27.04 (v86(sK0_VarCurr) <=> v86(constB189)),
% 40.60/27.04 inference(symmetry,[status(thm)],[27843])).
% 40.60/27.04 tff(27845,plain,
% 40.60/27.04 ((~v86(sK0_VarCurr)) <=> (~v86(constB189))),
% 40.60/27.04 inference(monotonicity,[status(thm)],[27844])).
% 40.60/27.04 tff(27846,plain,
% 40.60/27.04 (~v86(constB189)),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[77, 27845])).
% 40.60/27.04 tff(27847,assumption,(v86(constB189)), introduced(assumption)).
% 40.60/27.04 tff(27848,plain,
% 40.60/27.04 ($false),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27847, 27846])).
% 40.60/27.04 tff(27849,plain,((~(constB189 = sK0_VarCurr)) | (~v86(constB189)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.04 tff(27850,plain,
% 40.60/27.04 ((~(constB189 = sK0_VarCurr)) | v86(sK0_VarCurr)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27849, 27841])).
% 40.60/27.04 tff(27851,plain,
% 40.60/27.04 (~(constB189 = sK0_VarCurr)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27850, 72])).
% 40.60/27.04 tff(27852,plain,
% 40.60/27.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB123, bitIndex0)) | v88(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB123, bitIndex0)) | v88(constB123, bitIndex0))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27853,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB123, bitIndex0)) | v88(constB123, bitIndex0))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27854,plain,
% 40.60/27.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB123, bitIndex0)) | v88(constB123, bitIndex0)),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27853, 27852])).
% 40.60/27.04 tff(27855,plain,
% 40.60/27.04 (v88(constB123, bitIndex0)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27854, 10622, 15951])).
% 40.60/27.04 tff(27856,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB123, bitIndex1) | (~v88(constB123, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB123, bitIndex1) | (~v88(constB123, bitIndex1)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27857,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB123, bitIndex1) | (~v88(constB123, bitIndex1)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27858,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB123, bitIndex1) | (~v88(constB123, bitIndex1))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27857, 27856])).
% 40.60/27.04 tff(27859,plain,
% 40.60/27.04 (~v88(constB123, bitIndex1)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27858, 10784, 16047])).
% 40.60/27.04 tff(27860,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB123, bitIndex2) | (~v88(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB123, bitIndex2) | (~v88(constB123, bitIndex2)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27861,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB123, bitIndex2) | (~v88(constB123, bitIndex2)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27862,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB123, bitIndex2) | (~v88(constB123, bitIndex2))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27861, 27860])).
% 40.60/27.04 tff(27863,plain,
% 40.60/27.04 (~v88(constB123, bitIndex2)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27862, 22090, 15994])).
% 40.60/27.04 tff(27864,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB123, bitIndex0)) | v140(constB123) | v88(constB123, bitIndex1) | v88(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB123, bitIndex0)) | v140(constB123) | v88(constB123, bitIndex1) | v88(constB123, bitIndex2))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27865,plain,
% 40.60/27.04 ((v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)) | v140(constB123)) <=> ((~v88(constB123, bitIndex0)) | v140(constB123) | v88(constB123, bitIndex1) | v88(constB123, bitIndex2))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27866,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)) | v140(constB123))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB123, bitIndex0)) | v140(constB123) | v88(constB123, bitIndex1) | v88(constB123, bitIndex2)))),
% 40.60/27.04 inference(monotonicity,[status(thm)],[27865])).
% 40.60/27.04 tff(27867,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)) | v140(constB123))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB123, bitIndex0)) | v140(constB123) | v88(constB123, bitIndex1) | v88(constB123, bitIndex2))),
% 40.60/27.04 inference(transitivity,[status(thm)],[27866, 27864])).
% 40.60/27.04 tff(27868,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB123, bitIndex2) | v88(constB123, bitIndex1) | (~v88(constB123, bitIndex0)) | v140(constB123))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27869,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB123, bitIndex0)) | v140(constB123) | v88(constB123, bitIndex1) | v88(constB123, bitIndex2)),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27868, 27867])).
% 40.60/27.04 tff(27870,plain,
% 40.60/27.04 ((~v88(constB123, bitIndex0)) | v140(constB123)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27869, 26634, 27863, 27859])).
% 40.60/27.04 tff(27871,plain,
% 40.60/27.04 (v140(constB123)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27870, 27855])).
% 40.60/27.04 tff(27872,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB123) | (~v140(constB123)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB123) | (~v140(constB123)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27873,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB123) | (~v140(constB123)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27874,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB123) | (~v140(constB123))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27873, 27872])).
% 40.60/27.04 tff(27875,plain,
% 40.60/27.04 (v170(constB123)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27874, 26648, 27871])).
% 40.60/27.04 tff(27876,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB123) | (~v170(constB123)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB123) | (~v170(constB123)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27877,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB123) | (~v170(constB123)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27878,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB123) | (~v170(constB123))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27877, 27876])).
% 40.60/27.04 tff(27879,plain,
% 40.60/27.04 (v167(constB123)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27878, 26659, 27875])).
% 40.60/27.04 tff(27880,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB123) | (~v167(constB123)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB123) | (~v167(constB123)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27881,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB123) | (~v167(constB123)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27882,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB123) | (~v167(constB123))),
% 40.60/27.04 inference(modus_ponens,[status(thm)],[27881, 27880])).
% 40.60/27.04 tff(27883,plain,
% 40.60/27.04 (v166(constB123)),
% 40.60/27.04 inference(unit_resolution,[status(thm)],[27882, 22146, 27879])).
% 40.60/27.04 tff(27884,plain,
% 40.60/27.04 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB123) | (~v166(constB123)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB123) | (~v166(constB123)))),
% 40.60/27.04 inference(rewrite,[status(thm)],[])).
% 40.60/27.04 tff(27885,plain,
% 40.60/27.04 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB123) | (~v166(constB123)))),
% 40.60/27.04 inference(quant_inst,[status(thm)],[])).
% 40.60/27.04 tff(27886,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB123) | (~v166(constB123))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27885, 27884])).
% 40.60/27.05 tff(27887,plain,
% 40.60/27.05 (v165(constB123)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27886, 21181, 27883])).
% 40.60/27.05 tff(27888,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB123)) | (~v170(constB123)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB123)) | (~v170(constB123)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27889,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB123)) | (~v170(constB123)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27890,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB123)) | (~v170(constB123))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27889, 27888])).
% 40.60/27.05 tff(27891,plain,
% 40.60/27.05 (~v169(constB123)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27890, 26678, 27875])).
% 40.60/27.05 tff(27892,plain,
% 40.60/27.05 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB123)) | (~v165(constB123)) | v169(constB123))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB123)) | (~v165(constB123)) | v169(constB123))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27893,plain,
% 40.60/27.05 (((~v165(constB123)) | v169(constB123) | (~v162(constB123))) <=> ((~v162(constB123)) | (~v165(constB123)) | v169(constB123))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27894,plain,
% 40.60/27.05 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB123)) | v169(constB123) | (~v162(constB123)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB123)) | (~v165(constB123)) | v169(constB123)))),
% 40.60/27.05 inference(monotonicity,[status(thm)],[27893])).
% 40.60/27.05 tff(27895,plain,
% 40.60/27.05 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB123)) | v169(constB123) | (~v162(constB123)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB123)) | (~v165(constB123)) | v169(constB123))),
% 40.60/27.05 inference(transitivity,[status(thm)],[27894, 27892])).
% 40.60/27.05 tff(27896,plain,
% 40.60/27.05 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB123)) | v169(constB123) | (~v162(constB123)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27897,plain,
% 40.60/27.05 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB123)) | (~v165(constB123)) | v169(constB123)),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27896, 27895])).
% 40.60/27.05 tff(27898,plain,
% 40.60/27.05 ((~v162(constB123)) | (~v165(constB123))),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27897, 11073, 27891])).
% 40.60/27.05 tff(27899,plain,
% 40.60/27.05 (~v162(constB123)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27898, 27887])).
% 40.60/27.05 tff(27900,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB123) | (~v187(constB123)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB123) | (~v187(constB123)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27901,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB123) | (~v187(constB123)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27902,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB123) | (~v187(constB123))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27901, 27900])).
% 40.60/27.05 tff(27903,plain,
% 40.60/27.05 (~v187(constB123)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27902, 11087, 27899])).
% 40.60/27.05 tff(27904,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB123) | (~v185(constB123)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB123) | (~v185(constB123)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27905,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB123) | (~v185(constB123)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27906,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB123) | (~v185(constB123))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27905, 27904])).
% 40.60/27.05 tff(27907,plain,
% 40.60/27.05 (~v185(constB123)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27906, 11098, 27903])).
% 40.60/27.05 tff(27908,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27909,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27910,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB121, bitIndex0) | (~v88(constB121, bitIndex0))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27909, 27908])).
% 40.60/27.05 tff(27911,plain,
% 40.60/27.05 (~v88(constB121, bitIndex0)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27910, 14645, 15865])).
% 40.60/27.05 tff(27912,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27913,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27914,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2)),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27913, 27912])).
% 40.60/27.05 tff(27915,plain,
% 40.60/27.05 (v88(constB121, bitIndex2)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27914, 10566, 15739])).
% 40.60/27.05 tff(27916,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27917,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27918,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1)),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27917, 27916])).
% 40.60/27.05 tff(27919,plain,
% 40.60/27.05 (v88(constB121, bitIndex1)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27918, 21131, 15778])).
% 40.60/27.05 tff(27920,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27921,plain,
% 40.60/27.05 (((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121)) <=> (v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27922,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1))))),
% 40.60/27.05 inference(monotonicity,[status(thm)],[27921])).
% 40.60/27.05 tff(27923,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)))),
% 40.60/27.05 inference(transitivity,[status(thm)],[27922, 27920])).
% 40.60/27.05 tff(27924,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27925,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27924, 27923])).
% 40.60/27.05 tff(27926,plain,
% 40.60/27.05 (v144(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27925, 21145, 27919, 27915, 27911])).
% 40.60/27.05 tff(27927,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB121) | (~v144(constB121)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB121) | (~v144(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27928,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB121) | (~v144(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27929,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB121) | (~v144(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27928, 27927])).
% 40.60/27.05 tff(27930,plain,
% 40.60/27.05 (v142(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27929, 21159, 27926])).
% 40.60/27.05 tff(27931,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB121) | (~v142(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27932,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB121) | (~v142(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27933,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB121) | (~v142(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27932, 27931])).
% 40.60/27.05 tff(27934,plain,
% 40.60/27.05 (v166(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27933, 21170, 27930])).
% 40.60/27.05 tff(27935,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB121) | (~v166(constB121)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB121) | (~v166(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27936,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB121) | (~v166(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27937,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB121) | (~v166(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27936, 27935])).
% 40.60/27.05 tff(27938,plain,
% 40.60/27.05 (v165(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27937, 21181, 27934])).
% 40.60/27.05 tff(27939,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB121, bitIndex1)) | (~v139(constB121)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB121, bitIndex1)) | (~v139(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27940,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB121, bitIndex1)) | (~v139(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27941,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB121, bitIndex1)) | (~v139(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27940, 27939])).
% 40.60/27.05 tff(27942,plain,
% 40.60/27.05 (~v139(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27941, 21192, 27919])).
% 40.60/27.05 tff(27943,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB121, bitIndex1)) | (~v140(constB121)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB121, bitIndex1)) | (~v140(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27944,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB121, bitIndex1)) | (~v140(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27945,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB121, bitIndex1)) | (~v140(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27944, 27943])).
% 40.60/27.05 tff(27946,plain,
% 40.60/27.05 (~v140(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27945, 21203, 27919])).
% 40.60/27.05 tff(27947,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB121)) | v139(constB121) | v140(constB121))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB121)) | v139(constB121) | v140(constB121))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27948,plain,
% 40.60/27.05 ((v140(constB121) | v139(constB121) | (~v170(constB121))) <=> ((~v170(constB121)) | v139(constB121) | v140(constB121))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27949,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v170(constB121)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB121)) | v139(constB121) | v140(constB121)))),
% 40.60/27.05 inference(monotonicity,[status(thm)],[27948])).
% 40.60/27.05 tff(27950,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v170(constB121)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB121)) | v139(constB121) | v140(constB121))),
% 40.60/27.05 inference(transitivity,[status(thm)],[27949, 27947])).
% 40.60/27.05 tff(27951,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v170(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27952,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB121)) | v139(constB121) | v140(constB121)),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27951, 27950])).
% 40.60/27.05 tff(27953,plain,
% 40.60/27.05 (~v170(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27952, 10647, 27946, 27942])).
% 40.60/27.05 tff(27954,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB121)) | (~v88(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB121)) | (~v88(constB121, bitIndex2)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27955,plain,
% 40.60/27.05 (((~v88(constB121, bitIndex2)) | (~v141(constB121))) <=> ((~v141(constB121)) | (~v88(constB121, bitIndex2)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27956,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB121, bitIndex2)) | (~v141(constB121)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB121)) | (~v88(constB121, bitIndex2))))),
% 40.60/27.05 inference(monotonicity,[status(thm)],[27955])).
% 40.60/27.05 tff(27957,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB121, bitIndex2)) | (~v141(constB121)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB121)) | (~v88(constB121, bitIndex2)))),
% 40.60/27.05 inference(transitivity,[status(thm)],[27956, 27954])).
% 40.60/27.05 tff(27958,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB121, bitIndex2)) | (~v141(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27959,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB121)) | (~v88(constB121, bitIndex2))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27958, 27957])).
% 40.60/27.05 tff(27960,plain,
% 40.60/27.05 (~v141(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27959, 10658, 27915])).
% 40.60/27.05 tff(27961,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB121) | v170(constB121) | (~v169(constB121)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB121) | v170(constB121) | (~v169(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27962,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB121) | v170(constB121) | (~v169(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27963,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB121) | v170(constB121) | (~v169(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27962, 27961])).
% 40.60/27.05 tff(27964,plain,
% 40.60/27.05 (~v169(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27963, 11040, 27960, 27953])).
% 40.60/27.05 tff(27965,plain,
% 40.60/27.05 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB121)) | (~v165(constB121)) | v169(constB121))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB121)) | (~v165(constB121)) | v169(constB121))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27966,plain,
% 40.60/27.05 (((~v165(constB121)) | v169(constB121) | (~v162(constB121))) <=> ((~v162(constB121)) | (~v165(constB121)) | v169(constB121))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27967,plain,
% 40.60/27.05 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB121)) | v169(constB121) | (~v162(constB121)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB121)) | (~v165(constB121)) | v169(constB121)))),
% 40.60/27.05 inference(monotonicity,[status(thm)],[27966])).
% 40.60/27.05 tff(27968,plain,
% 40.60/27.05 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB121)) | v169(constB121) | (~v162(constB121)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB121)) | (~v165(constB121)) | v169(constB121))),
% 40.60/27.05 inference(transitivity,[status(thm)],[27967, 27965])).
% 40.60/27.05 tff(27969,plain,
% 40.60/27.05 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB121)) | v169(constB121) | (~v162(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27970,plain,
% 40.60/27.05 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB121)) | (~v165(constB121)) | v169(constB121)),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27969, 27968])).
% 40.60/27.05 tff(27971,plain,
% 40.60/27.05 ((~v162(constB121)) | (~v165(constB121))),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27970, 11073, 27964])).
% 40.60/27.05 tff(27972,plain,
% 40.60/27.05 (~v162(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27971, 27938])).
% 40.60/27.05 tff(27973,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB121) | (~v187(constB121)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB121) | (~v187(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27974,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB121) | (~v187(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27975,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB121) | (~v187(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27974, 27973])).
% 40.60/27.05 tff(27976,plain,
% 40.60/27.05 (~v187(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27975, 11087, 27972])).
% 40.60/27.05 tff(27977,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB121) | (~v185(constB121)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB121) | (~v185(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27978,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB121) | (~v185(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27979,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB121) | (~v185(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27978, 27977])).
% 40.60/27.05 tff(27980,plain,
% 40.60/27.05 (~v185(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27979, 11098, 27976])).
% 40.60/27.05 tff(27981,assumption,(v18(constB122)), introduced(assumption)).
% 40.60/27.05 tff(27982,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB122))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27983,plain,
% 40.60/27.05 ($false),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27982, 11110, 27981])).
% 40.60/27.05 tff(27984,plain,(~v18(constB122)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.05 tff(27985,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27986,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27987,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27986, 27985])).
% 40.60/27.05 tff(27988,plain,
% 40.60/27.05 (v22(constB122)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27987, 11120, 15902])).
% 40.60/27.05 tff(27989,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB122)) | (~v22(constB122)) | v18(constB122))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB122)) | (~v22(constB122)) | v18(constB122))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27990,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB122)) | (~v22(constB122)) | v18(constB122))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27991,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB122)) | (~v22(constB122)) | v18(constB122)),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27990, 27989])).
% 40.60/27.05 tff(27992,plain,
% 40.60/27.05 ((~v19(constB122)) | v18(constB122)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27991, 11134, 27988])).
% 40.60/27.05 tff(27993,plain,
% 40.60/27.05 (~v19(constB122)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27992, 27984])).
% 40.60/27.05 tff(27994,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27995,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(27996,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122)),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27995, 27994])).
% 40.60/27.05 tff(27997,plain,
% 40.60/27.05 (v13(constB122)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[27996, 11149, 27993])).
% 40.60/27.05 tff(27998,plain,
% 40.60/27.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(27999,plain,
% 40.60/27.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28000,plain,
% 40.60/27.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121)),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[27999, 27998])).
% 40.60/27.05 tff(28001,plain,
% 40.60/27.05 ((~v13(constB122)) | v9(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28000, 11163, 15809])).
% 40.60/27.05 tff(28002,plain,
% 40.60/27.05 (v9(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28001, 27997])).
% 40.60/27.05 tff(28003,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v184(constB121))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB121) | (~v9(constB121)) | v184(constB121))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28004,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v184(constB121))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28005,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB121) | (~v9(constB121)) | v184(constB121)),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28004, 28003])).
% 40.60/27.05 tff(28006,plain,
% 40.60/27.05 ((~v9(constB121)) | v184(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28005, 11178, 15715])).
% 40.60/27.05 tff(28007,plain,
% 40.60/27.05 (v184(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28006, 28002])).
% 40.60/27.05 tff(28008,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB121) | (~v184(constB121)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB121) | (~v184(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28009,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB121) | (~v184(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28010,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB121) | (~v184(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28009, 28008])).
% 40.60/27.05 tff(28011,plain,
% 40.60/27.05 (v183(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28010, 11190, 28007])).
% 40.60/27.05 tff(28012,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB121)) | (~v183(constB121)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB121)) | (~v183(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28013,plain,
% 40.60/27.05 (((~v183(constB121)) | (~v181(constB121))) <=> ((~v181(constB121)) | (~v183(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28014,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB121)) | (~v181(constB121)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB121)) | (~v183(constB121))))),
% 40.60/27.05 inference(monotonicity,[status(thm)],[28013])).
% 40.60/27.05 tff(28015,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB121)) | (~v181(constB121)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB121)) | (~v183(constB121)))),
% 40.60/27.05 inference(transitivity,[status(thm)],[28014, 28012])).
% 40.60/27.05 tff(28016,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB121)) | (~v181(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28017,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB121)) | (~v183(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28016, 28015])).
% 40.60/27.05 tff(28018,plain,
% 40.60/27.05 (~v181(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28017, 11201, 28011])).
% 40.60/27.05 tff(28019,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB121) | v185(constB121) | (~v178(constB121)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB121) | v185(constB121) | (~v178(constB121)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28020,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB121) | v185(constB121) | (~v178(constB121)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28021,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB121) | v185(constB121) | (~v178(constB121))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28020, 28019])).
% 40.60/27.05 tff(28022,plain,
% 40.60/27.05 (v185(constB121) | (~v178(constB121))),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28021, 11215, 28018])).
% 40.60/27.05 tff(28023,plain,
% 40.60/27.05 (~v178(constB121)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28022, 27980])).
% 40.60/27.05 tff(28024,plain,
% 40.60/27.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28025,plain,
% 40.60/27.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28026,plain,
% 40.60/27.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28025, 28024])).
% 40.60/27.05 tff(28027,plain,
% 40.60/27.05 (v178(constB121) | (~v180(constB122))),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28026, 11230, 15809])).
% 40.60/27.05 tff(28028,plain,
% 40.60/27.05 (~v180(constB122)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28027, 28023])).
% 40.60/27.05 tff(28029,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB122) | (~v181(constB122)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB122) | (~v181(constB122)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28030,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB122) | (~v181(constB122)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28031,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB122) | (~v181(constB122))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28030, 28029])).
% 40.60/27.05 tff(28032,plain,
% 40.60/27.05 (~v181(constB122)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28031, 11242, 28028])).
% 40.60/27.05 tff(28033,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB122)) | (~v184(constB122)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB122)) | (~v184(constB122)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28034,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB122)) | (~v184(constB122)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28035,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB122)) | (~v184(constB122))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28034, 28033])).
% 40.60/27.05 tff(28036,plain,
% 40.60/27.05 (~v184(constB122)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28035, 11253, 15902])).
% 40.60/27.05 tff(28037,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB122) | (~v187(constB122)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB122) | (~v187(constB122)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28038,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB122) | (~v187(constB122)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28039,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB122) | (~v187(constB122))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28038, 28037])).
% 40.60/27.05 tff(28040,plain,
% 40.60/27.05 (~v187(constB122)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28039, 11264, 28036])).
% 40.60/27.05 tff(28041,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB122) | (~v185(constB122)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB122) | (~v185(constB122)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28042,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB122) | (~v185(constB122)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28043,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB122) | (~v185(constB122))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28042, 28041])).
% 40.60/27.05 tff(28044,plain,
% 40.60/27.05 (~v185(constB122)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28043, 11098, 28040])).
% 40.60/27.05 tff(28045,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB122) | v185(constB122) | (~v178(constB122)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB122) | v185(constB122) | (~v178(constB122)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28046,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB122) | v185(constB122) | (~v178(constB122)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28047,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB122) | v185(constB122) | (~v178(constB122))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28046, 28045])).
% 40.60/27.05 tff(28048,plain,
% 40.60/27.05 (v181(constB122) | (~v178(constB122))),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28047, 11215, 28044])).
% 40.60/27.05 tff(28049,plain,
% 40.60/27.05 (~v178(constB122)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28048, 28032])).
% 40.60/27.05 tff(28050,plain,
% 40.60/27.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28051,plain,
% 40.60/27.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28052,plain,
% 40.60/27.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28051, 28050])).
% 40.60/27.05 tff(28053,plain,
% 40.60/27.05 (v178(constB122) | (~v180(constB123))),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28052, 11230, 15930])).
% 40.60/27.05 tff(28054,plain,
% 40.60/27.05 (~v180(constB123)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28053, 28049])).
% 40.60/27.05 tff(28055,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB123) | (~v181(constB123)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB123) | (~v181(constB123)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28056,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB123) | (~v181(constB123)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28057,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB123) | (~v181(constB123))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28056, 28055])).
% 40.60/27.05 tff(28058,plain,
% 40.60/27.05 (~v181(constB123)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28057, 11242, 28054])).
% 40.60/27.05 tff(28059,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB123) | v185(constB123) | (~v178(constB123)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB123) | v185(constB123) | (~v178(constB123)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28060,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB123) | v185(constB123) | (~v178(constB123)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28061,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB123) | v185(constB123) | (~v178(constB123))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28060, 28059])).
% 40.60/27.05 tff(28062,plain,
% 40.60/27.05 (v185(constB123) | (~v178(constB123))),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28061, 11215, 28058])).
% 40.60/27.05 tff(28063,plain,
% 40.60/27.05 (~v178(constB123)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28062, 27907])).
% 40.60/27.05 tff(28064,plain,
% 40.60/27.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB123, constB124)) | v178(constB123) | (~v180(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB123, constB124)) | v178(constB123) | (~v180(constB124)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28065,plain,
% 40.60/27.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB123, constB124)) | v178(constB123) | (~v180(constB124)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28066,plain,
% 40.60/27.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB123, constB124)) | v178(constB123) | (~v180(constB124))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28065, 28064])).
% 40.60/27.05 tff(28067,plain,
% 40.60/27.05 (v178(constB123) | (~v180(constB124))),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28066, 11230, 16095])).
% 40.60/27.05 tff(28068,plain,
% 40.60/27.05 (~v180(constB124)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28067, 28063])).
% 40.60/27.05 tff(28069,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB124) | (~v181(constB124)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB124) | (~v181(constB124)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28070,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB124) | (~v181(constB124)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28071,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB124) | (~v181(constB124))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28070, 28069])).
% 40.60/27.05 tff(28072,plain,
% 40.60/27.05 (~v181(constB124)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28071, 11242, 28068])).
% 40.60/27.05 tff(28073,plain,
% 40.60/27.05 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB124)) | (~v184(constB124)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB124)) | (~v184(constB124)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28074,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB124)) | (~v184(constB124)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28075,plain,
% 40.60/27.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB124)) | (~v184(constB124))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28074, 28073])).
% 40.60/27.05 tff(28076,plain,
% 40.60/27.05 (~v184(constB124)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28075, 11253, 16115])).
% 40.60/27.05 tff(28077,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB124) | (~v187(constB124)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB124) | (~v187(constB124)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28078,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB124) | (~v187(constB124)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28079,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB124) | (~v187(constB124))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28078, 28077])).
% 40.60/27.05 tff(28080,plain,
% 40.60/27.05 (~v187(constB124)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28079, 11264, 28076])).
% 40.60/27.05 tff(28081,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB124) | (~v185(constB124)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB124) | (~v185(constB124)))),
% 40.60/27.05 inference(rewrite,[status(thm)],[])).
% 40.60/27.05 tff(28082,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB124) | (~v185(constB124)))),
% 40.60/27.05 inference(quant_inst,[status(thm)],[])).
% 40.60/27.05 tff(28083,plain,
% 40.60/27.05 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB124) | (~v185(constB124))),
% 40.60/27.05 inference(modus_ponens,[status(thm)],[28082, 28081])).
% 40.60/27.05 tff(28084,plain,
% 40.60/27.05 (~v185(constB124)),
% 40.60/27.05 inference(unit_resolution,[status(thm)],[28083, 11098, 28080])).
% 40.60/27.05 tff(28085,plain,
% 40.60/27.05 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB124) | v185(constB124) | (~v178(constB124)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB124) | v185(constB124) | (~v178(constB124)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28086,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB124) | v185(constB124) | (~v178(constB124)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28087,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB124) | v185(constB124) | (~v178(constB124))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28086, 28085])).
% 40.60/27.06 tff(28088,plain,
% 40.60/27.06 (v181(constB124) | (~v178(constB124))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28087, 11215, 28084])).
% 40.60/27.06 tff(28089,plain,
% 40.60/27.06 (~v178(constB124)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28088, 28072])).
% 40.60/27.06 tff(28090,plain,
% 40.60/27.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB124, constB125)) | v178(constB124) | (~v180(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB124, constB125)) | v178(constB124) | (~v180(constB125)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28091,plain,
% 40.60/27.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB124, constB125)) | v178(constB124) | (~v180(constB125)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28092,plain,
% 40.60/27.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB124, constB125)) | v178(constB124) | (~v180(constB125))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28091, 28090])).
% 40.60/27.06 tff(28093,plain,
% 40.60/27.06 (v178(constB124) | (~v180(constB125))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28092, 11230, 16160])).
% 40.60/27.06 tff(28094,plain,
% 40.60/27.06 (~v180(constB125)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28093, 28089])).
% 40.60/27.06 tff(28095,assumption,(constB125 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.06 tff(28096,plain,
% 40.60/27.06 (v180(constB125) <=> v180(sK0_VarCurr)),
% 40.60/27.06 inference(monotonicity,[status(thm)],[28095])).
% 40.60/27.06 tff(28097,plain,
% 40.60/27.06 (v180(sK0_VarCurr) <=> v180(constB125)),
% 40.60/27.06 inference(symmetry,[status(thm)],[28096])).
% 40.60/27.06 tff(28098,plain,
% 40.60/27.06 (v180(constB125)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[11002, 28097])).
% 40.60/27.06 tff(28099,assumption,(~v180(constB125)), introduced(assumption)).
% 40.60/27.06 tff(28100,plain,
% 40.60/27.06 ($false),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28099, 28098])).
% 40.60/27.06 tff(28101,plain,((~(constB125 = sK0_VarCurr)) | v180(constB125) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.60/27.06 tff(28102,plain,
% 40.60/27.06 ((~(constB125 = sK0_VarCurr)) | (~v180(sK0_VarCurr))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28101, 28094])).
% 40.60/27.06 tff(28103,plain,
% 40.60/27.06 (~(constB125 = sK0_VarCurr)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28102, 10998])).
% 40.60/27.06 tff(28104,assumption,(constB164 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.06 tff(28105,plain,
% 40.60/27.06 (v1(constB164) <=> v1(sK0_VarCurr)),
% 40.60/27.06 inference(monotonicity,[status(thm)],[28104])).
% 40.60/27.06 tff(28106,plain,
% 40.60/27.06 (v1(sK0_VarCurr) <=> v1(constB164)),
% 40.60/27.06 inference(symmetry,[status(thm)],[28105])).
% 40.60/27.06 tff(28107,plain,
% 40.60/27.06 ((~v1(sK0_VarCurr)) <=> (~v1(constB164))),
% 40.60/27.06 inference(monotonicity,[status(thm)],[28106])).
% 40.60/27.06 tff(28108,plain,
% 40.60/27.06 (~v1(constB164)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[21332, 28107])).
% 40.60/27.06 tff(28109,plain,
% 40.60/27.06 ($false),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[20878, 28108])).
% 40.60/27.06 tff(28110,plain,((~(constB164 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.06 tff(28111,plain,
% 40.60/27.06 (~(constB164 = sK0_VarCurr)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28110, 21327])).
% 40.60/27.06 tff(28112,plain,
% 40.60/27.06 (v115(constB153)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19858, 1247, 19854])).
% 40.60/27.06 tff(28113,plain,
% 40.60/27.06 (v114(constB153)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19862, 283, 28112])).
% 40.60/27.06 tff(28114,plain,
% 40.60/27.06 (v113(constB153)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19866, 294, 28113])).
% 40.60/27.06 tff(28115,plain,
% 40.60/27.06 (v112(constB153)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19878, 28114])).
% 40.60/27.06 tff(28116,plain,
% 40.60/27.06 (v108(constB153)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19882, 320, 28115])).
% 40.60/27.06 tff(28117,plain,
% 40.60/27.06 (v110(constB154)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19893, 28116])).
% 40.60/27.06 tff(28118,plain,
% 40.60/27.06 (v100(constB154)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19919, 28117])).
% 40.60/27.06 tff(28119,plain,
% 40.60/27.06 (v130(constB153, bitIndex2)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19923, 2165, 19854])).
% 40.60/27.06 tff(28120,plain,
% 40.60/27.06 (v127(constB153, bitIndex2)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19928, 28119])).
% 40.60/27.06 tff(28121,plain,
% 40.60/27.06 (v129(constB154, bitIndex2)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19933, 28120])).
% 40.60/27.06 tff(28122,plain,
% 40.60/27.06 (v90(constB154, bitIndex2) | (~v100(constB154))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19940, 2100, 28121])).
% 40.60/27.06 tff(28123,plain,
% 40.60/27.06 (v90(constB154, bitIndex2)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28122, 28118])).
% 40.60/27.06 tff(28124,plain,
% 40.60/27.06 (v90(constB155, bitIndex2)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19968, 28123])).
% 40.60/27.06 tff(28125,plain,
% 40.60/27.06 (((~![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))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28126,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28127,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28126, 28125])).
% 40.60/27.06 tff(28128,plain,
% 40.60/27.06 (v88(constB155, bitIndex2)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28127, 10566, 28124])).
% 40.60/27.06 tff(28129,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v140(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v140(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28130,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v140(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28131,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v140(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28130, 28129])).
% 40.60/27.06 tff(28132,plain,
% 40.60/27.06 (~v140(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28131, 10577, 28128])).
% 40.60/27.06 tff(28133,plain,
% 40.60/27.06 (v130(constB153, bitIndex0)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19972, 2258, 19854])).
% 40.60/27.06 tff(28134,plain,
% 40.60/27.06 (v127(constB153, bitIndex0)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19977, 28133])).
% 40.60/27.06 tff(28135,plain,
% 40.60/27.06 (v129(constB154, bitIndex0)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19982, 28134])).
% 40.60/27.06 tff(28136,plain,
% 40.60/27.06 (v90(constB154, bitIndex0) | (~v100(constB154))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19989, 631, 28135])).
% 40.60/27.06 tff(28137,plain,
% 40.60/27.06 (v90(constB154, bitIndex0)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28136, 28118])).
% 40.60/27.06 tff(28138,plain,
% 40.60/27.06 (v90(constB155, bitIndex0)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[19999, 28137])).
% 40.60/27.06 tff(28139,plain,
% 40.60/27.06 (((~![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))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28140,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB155, bitIndex0)) | v88(constB155, bitIndex0))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28141,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB155, bitIndex0)) | v88(constB155, bitIndex0)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28140, 28139])).
% 40.60/27.06 tff(28142,plain,
% 40.60/27.06 (v88(constB155, bitIndex0)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28141, 10622, 28138])).
% 40.60/27.06 tff(28143,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v139(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v139(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28144,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v139(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28145,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v139(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28144, 28143])).
% 40.60/27.06 tff(28146,plain,
% 40.60/27.06 (~v139(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28145, 10633, 28142])).
% 40.60/27.06 tff(28147,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v170(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB155) | v139(constB155) | (~v170(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28148,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v170(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28149,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB155) | v139(constB155) | (~v170(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28148, 28147])).
% 40.60/27.06 tff(28150,plain,
% 40.60/27.06 (~v170(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28149, 10647, 28146, 28132])).
% 40.60/27.06 tff(28151,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v141(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v141(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28152,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v141(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28153,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v141(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28152, 28151])).
% 40.60/27.06 tff(28154,plain,
% 40.60/27.06 (~v141(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28153, 10658, 28128])).
% 40.60/27.06 tff(28155,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB155) | v170(constB155) | (~v169(constB155)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB155) | v170(constB155) | (~v169(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28156,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB155) | v170(constB155) | (~v169(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28157,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB155) | v170(constB155) | (~v169(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28156, 28155])).
% 40.60/27.06 tff(28158,plain,
% 40.60/27.06 (~v169(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28157, 11040, 28154, 28150])).
% 40.60/27.06 tff(28159,plain,
% 40.60/27.06 (~v130(constB153, bitIndex1)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[20003, 1579, 19854])).
% 40.60/27.06 tff(28160,plain,
% 40.60/27.06 (~v127(constB153, bitIndex1)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[20011, 28159])).
% 40.60/27.06 tff(28161,plain,
% 40.60/27.06 (~v129(constB154, bitIndex1)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[20016, 28160])).
% 40.60/27.06 tff(28162,plain,
% 40.60/27.06 ((~v90(constB154, bitIndex1)) | (~v100(constB154))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[20023, 560, 28161])).
% 40.60/27.06 tff(28163,plain,
% 40.60/27.06 (~v90(constB154, bitIndex1)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28162, 28118])).
% 40.60/27.06 tff(28164,plain,
% 40.60/27.06 (~v90(constB155, bitIndex1)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[20033, 28163])).
% 40.60/27.06 tff(28165,plain,
% 40.60/27.06 (((~![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)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28166,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB155, bitIndex1) | (~v88(constB155, bitIndex1)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28167,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB155, bitIndex1) | (~v88(constB155, bitIndex1))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28166, 28165])).
% 40.60/27.06 tff(28168,plain,
% 40.60/27.06 (~v88(constB155, bitIndex1)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28167, 10784, 28164])).
% 40.60/27.06 tff(28169,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex2)) | v147(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex2)) | v147(constB155))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28170,plain,
% 40.60/27.06 (((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155)) <=> ((~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex2)) | v147(constB155))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28171,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex2)) | v147(constB155)))),
% 40.60/27.06 inference(monotonicity,[status(thm)],[28170])).
% 40.60/27.06 tff(28172,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex2)) | v147(constB155))),
% 40.60/27.06 inference(transitivity,[status(thm)],[28171, 28169])).
% 40.60/27.06 tff(28173,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28174,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB155, bitIndex0)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex2)) | v147(constB155)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28173, 28172])).
% 40.60/27.06 tff(28175,plain,
% 40.60/27.06 (v147(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28174, 10798, 28142, 28128, 28168])).
% 40.60/27.06 tff(28176,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB155) | (~v147(constB155)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB155) | (~v147(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28177,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB155) | (~v147(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28178,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB155) | (~v147(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28177, 28176])).
% 40.60/27.06 tff(28179,plain,
% 40.60/27.06 (v145(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28178, 10812, 28175])).
% 40.60/27.06 tff(28180,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB155) | (~v145(constB155)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB155) | (~v145(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28181,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB155) | (~v145(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28182,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB155) | (~v145(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28181, 28180])).
% 40.60/27.06 tff(28183,plain,
% 40.60/27.06 (v165(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28182, 10823, 28179])).
% 40.60/27.06 tff(28184,plain,
% 40.60/27.06 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB155)) | v169(constB155) | (~v165(constB155)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB155)) | v169(constB155) | (~v165(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28185,plain,
% 40.60/27.06 (((~v165(constB155)) | v169(constB155) | (~v162(constB155))) <=> ((~v162(constB155)) | v169(constB155) | (~v165(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28186,plain,
% 40.60/27.06 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB155)) | v169(constB155) | (~v162(constB155)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB155)) | v169(constB155) | (~v165(constB155))))),
% 40.60/27.06 inference(monotonicity,[status(thm)],[28185])).
% 40.60/27.06 tff(28187,plain,
% 40.60/27.06 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB155)) | v169(constB155) | (~v162(constB155)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB155)) | v169(constB155) | (~v165(constB155)))),
% 40.60/27.06 inference(transitivity,[status(thm)],[28186, 28184])).
% 40.60/27.06 tff(28188,plain,
% 40.60/27.06 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB155)) | v169(constB155) | (~v162(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28189,plain,
% 40.60/27.06 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB155)) | v169(constB155) | (~v165(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28188, 28187])).
% 40.60/27.06 tff(28190,plain,
% 40.60/27.06 (~v162(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28189, 11073, 28183, 28158])).
% 40.60/27.06 tff(28191,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB155) | (~v187(constB155)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB155) | (~v187(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28192,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB155) | (~v187(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28193,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB155) | (~v187(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28192, 28191])).
% 40.60/27.06 tff(28194,plain,
% 40.60/27.06 (~v187(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28193, 11087, 28190])).
% 40.60/27.06 tff(28195,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB155) | (~v185(constB155)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB155) | (~v185(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28196,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB155) | (~v185(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28197,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB155) | (~v185(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28196, 28195])).
% 40.60/27.06 tff(28198,plain,
% 40.60/27.06 (~v185(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28197, 11098, 28194])).
% 40.60/27.06 tff(28199,assumption,(v18(constB156)), introduced(assumption)).
% 40.60/27.06 tff(28200,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB156))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28201,plain,
% 40.60/27.06 ($false),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28200, 11110, 28199])).
% 40.60/27.06 tff(28202,plain,(~v18(constB156)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.06 tff(28203,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28204,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28205,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28204, 28203])).
% 40.60/27.06 tff(28206,plain,
% 40.60/27.06 (v22(constB156)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28205, 11120, 20089])).
% 40.60/27.06 tff(28207,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB156)) | (~v22(constB156)) | v18(constB156))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB156)) | (~v22(constB156)) | v18(constB156))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28208,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB156)) | (~v22(constB156)) | v18(constB156))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28209,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB156)) | (~v22(constB156)) | v18(constB156)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28208, 28207])).
% 40.60/27.06 tff(28210,plain,
% 40.60/27.06 ((~v19(constB156)) | v18(constB156)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28209, 11134, 28206])).
% 40.60/27.06 tff(28211,plain,
% 40.60/27.06 (~v19(constB156)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28210, 28202])).
% 40.60/27.06 tff(28212,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28213,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28214,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28213, 28212])).
% 40.60/27.06 tff(28215,plain,
% 40.60/27.06 (v13(constB156)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28214, 11149, 28211])).
% 40.60/27.06 tff(28216,plain,
% 40.60/27.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28217,plain,
% 40.60/27.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28218,plain,
% 40.60/27.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28217, 28216])).
% 40.60/27.06 tff(28219,plain,
% 40.60/27.06 ((~v13(constB156)) | v9(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28218, 11163, 20069])).
% 40.60/27.06 tff(28220,plain,
% 40.60/27.06 (v9(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28219, 28215])).
% 40.60/27.06 tff(28221,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v184(constB155))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB155) | (~v9(constB155)) | v184(constB155))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28222,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v184(constB155))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28223,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB155) | (~v9(constB155)) | v184(constB155)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28222, 28221])).
% 40.60/27.06 tff(28224,plain,
% 40.60/27.06 ((~v9(constB155)) | v184(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28223, 11178, 19945])).
% 40.60/27.06 tff(28225,plain,
% 40.60/27.06 (v184(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28224, 28220])).
% 40.60/27.06 tff(28226,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB155) | (~v184(constB155)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB155) | (~v184(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28227,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB155) | (~v184(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28228,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB155) | (~v184(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28227, 28226])).
% 40.60/27.06 tff(28229,plain,
% 40.60/27.06 (v183(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28228, 11190, 28225])).
% 40.60/27.06 tff(28230,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB155)) | (~v183(constB155)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB155)) | (~v183(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28231,plain,
% 40.60/27.06 (((~v183(constB155)) | (~v181(constB155))) <=> ((~v181(constB155)) | (~v183(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28232,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB155)) | (~v181(constB155)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB155)) | (~v183(constB155))))),
% 40.60/27.06 inference(monotonicity,[status(thm)],[28231])).
% 40.60/27.06 tff(28233,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB155)) | (~v181(constB155)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB155)) | (~v183(constB155)))),
% 40.60/27.06 inference(transitivity,[status(thm)],[28232, 28230])).
% 40.60/27.06 tff(28234,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB155)) | (~v181(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28235,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB155)) | (~v183(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28234, 28233])).
% 40.60/27.06 tff(28236,plain,
% 40.60/27.06 (~v181(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28235, 11201, 28229])).
% 40.60/27.06 tff(28237,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB155) | v185(constB155) | (~v178(constB155)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB155) | v185(constB155) | (~v178(constB155)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28238,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB155) | v185(constB155) | (~v178(constB155)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28239,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB155) | v185(constB155) | (~v178(constB155))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28238, 28237])).
% 40.60/27.06 tff(28240,plain,
% 40.60/27.06 (v185(constB155) | (~v178(constB155))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28239, 11215, 28236])).
% 40.60/27.06 tff(28241,plain,
% 40.60/27.06 (~v178(constB155)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28240, 28198])).
% 40.60/27.06 tff(28242,plain,
% 40.60/27.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28243,plain,
% 40.60/27.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28244,plain,
% 40.60/27.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28243, 28242])).
% 40.60/27.06 tff(28245,plain,
% 40.60/27.06 (v178(constB155) | (~v180(constB156))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28244, 11230, 20069])).
% 40.60/27.06 tff(28246,plain,
% 40.60/27.06 (~v180(constB156)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28245, 28241])).
% 40.60/27.06 tff(28247,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB156) | (~v181(constB156)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB156) | (~v181(constB156)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28248,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB156) | (~v181(constB156)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28249,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB156) | (~v181(constB156))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28248, 28247])).
% 40.60/27.06 tff(28250,plain,
% 40.60/27.06 (~v181(constB156)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28249, 11242, 28246])).
% 40.60/27.06 tff(28251,plain,
% 40.60/27.06 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB156)) | (~v184(constB156)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB156)) | (~v184(constB156)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28252,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB156)) | (~v184(constB156)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28253,plain,
% 40.60/27.06 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB156)) | (~v184(constB156))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28252, 28251])).
% 40.60/27.06 tff(28254,plain,
% 40.60/27.06 (~v184(constB156)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28253, 11253, 20089])).
% 40.60/27.06 tff(28255,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB156) | (~v187(constB156)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB156) | (~v187(constB156)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28256,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB156) | (~v187(constB156)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28257,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB156) | (~v187(constB156))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28256, 28255])).
% 40.60/27.06 tff(28258,plain,
% 40.60/27.06 (~v187(constB156)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28257, 11264, 28254])).
% 40.60/27.06 tff(28259,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB156) | (~v185(constB156)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB156) | (~v185(constB156)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28260,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB156) | (~v185(constB156)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28261,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB156) | (~v185(constB156))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28260, 28259])).
% 40.60/27.06 tff(28262,plain,
% 40.60/27.06 (~v185(constB156)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28261, 11098, 28258])).
% 40.60/27.06 tff(28263,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB156) | v185(constB156) | (~v178(constB156)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB156) | v185(constB156) | (~v178(constB156)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28264,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB156) | v185(constB156) | (~v178(constB156)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28265,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB156) | v185(constB156) | (~v178(constB156))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28264, 28263])).
% 40.60/27.06 tff(28266,plain,
% 40.60/27.06 (v181(constB156) | (~v178(constB156))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28265, 11215, 28262])).
% 40.60/27.06 tff(28267,plain,
% 40.60/27.06 (~v178(constB156)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28266, 28250])).
% 40.60/27.06 tff(28268,plain,
% 40.60/27.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28269,plain,
% 40.60/27.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28270,plain,
% 40.60/27.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28269, 28268])).
% 40.60/27.06 tff(28271,plain,
% 40.60/27.06 (v178(constB156) | (~v180(constB157))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28270, 11230, 20131])).
% 40.60/27.06 tff(28272,plain,
% 40.60/27.06 (~v180(constB157)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28271, 28267])).
% 40.60/27.06 tff(28273,assumption,(constB157 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.06 tff(28274,plain,
% 40.60/27.06 (v180(constB157) <=> v180(sK0_VarCurr)),
% 40.60/27.06 inference(monotonicity,[status(thm)],[28273])).
% 40.60/27.06 tff(28275,plain,
% 40.60/27.06 (v180(sK0_VarCurr) <=> v180(constB157)),
% 40.60/27.06 inference(symmetry,[status(thm)],[28274])).
% 40.60/27.06 tff(28276,plain,
% 40.60/27.06 (v180(constB157)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[11002, 28275])).
% 40.60/27.06 tff(28277,assumption,(~v180(constB157)), introduced(assumption)).
% 40.60/27.06 tff(28278,plain,
% 40.60/27.06 ($false),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28277, 28276])).
% 40.60/27.06 tff(28279,plain,((~(constB157 = sK0_VarCurr)) | v180(constB157) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.60/27.06 tff(28280,plain,
% 40.60/27.06 ((~(constB157 = sK0_VarCurr)) | (~v180(sK0_VarCurr))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28279, 28272])).
% 40.60/27.06 tff(28281,plain,
% 40.60/27.06 (~(constB157 = sK0_VarCurr)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28280, 10998])).
% 40.60/27.06 tff(28282,assumption,(constB61 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.06 tff(28283,plain,
% 40.60/27.06 (v180(constB61) <=> v180(sK0_VarCurr)),
% 40.60/27.06 inference(monotonicity,[status(thm)],[28282])).
% 40.60/27.06 tff(28284,plain,
% 40.60/27.06 (v180(sK0_VarCurr) <=> v180(constB61)),
% 40.60/27.06 inference(symmetry,[status(thm)],[28283])).
% 40.60/27.06 tff(28285,plain,
% 40.60/27.06 (v180(constB61)),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[11002, 28284])).
% 40.60/27.06 tff(28286,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB57) | v170(constB57) | (~v169(constB57)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB57) | v170(constB57) | (~v169(constB57)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28287,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB57) | v170(constB57) | (~v169(constB57)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28288,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB57) | v170(constB57) | (~v169(constB57))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28287, 28286])).
% 40.60/27.06 tff(28289,plain,
% 40.60/27.06 (v170(constB57) | (~v169(constB57))),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28288, 11040, 15049])).
% 40.60/27.06 tff(28290,plain,
% 40.60/27.06 (~v169(constB57)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28289, 15045])).
% 40.60/27.06 tff(28291,plain,
% 40.60/27.06 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB57)) | v169(constB57) | (~v165(constB57)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB57)) | v169(constB57) | (~v165(constB57)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28292,plain,
% 40.60/27.06 (((~v165(constB57)) | v169(constB57) | (~v162(constB57))) <=> ((~v162(constB57)) | v169(constB57) | (~v165(constB57)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28293,plain,
% 40.60/27.06 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB57)) | v169(constB57) | (~v162(constB57)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB57)) | v169(constB57) | (~v165(constB57))))),
% 40.60/27.06 inference(monotonicity,[status(thm)],[28292])).
% 40.60/27.06 tff(28294,plain,
% 40.60/27.06 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB57)) | v169(constB57) | (~v162(constB57)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB57)) | v169(constB57) | (~v165(constB57)))),
% 40.60/27.06 inference(transitivity,[status(thm)],[28293, 28291])).
% 40.60/27.06 tff(28295,plain,
% 40.60/27.06 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB57)) | v169(constB57) | (~v162(constB57)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28296,plain,
% 40.60/27.06 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB57)) | v169(constB57) | (~v165(constB57))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28295, 28294])).
% 40.60/27.06 tff(28297,plain,
% 40.60/27.06 (~v162(constB57)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28296, 11073, 15103, 28290])).
% 40.60/27.06 tff(28298,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB57) | (~v187(constB57)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB57) | (~v187(constB57)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28299,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB57) | (~v187(constB57)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28300,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB57) | (~v187(constB57))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28299, 28298])).
% 40.60/27.06 tff(28301,plain,
% 40.60/27.06 (~v187(constB57)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28300, 11087, 28297])).
% 40.60/27.06 tff(28302,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB57) | (~v185(constB57)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB57) | (~v185(constB57)))),
% 40.60/27.06 inference(rewrite,[status(thm)],[])).
% 40.60/27.06 tff(28303,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB57) | (~v185(constB57)))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28304,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB57) | (~v185(constB57))),
% 40.60/27.06 inference(modus_ponens,[status(thm)],[28303, 28302])).
% 40.60/27.06 tff(28305,plain,
% 40.60/27.06 (~v185(constB57)),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28304, 11098, 28301])).
% 40.60/27.06 tff(28306,assumption,(v18(constB58)), introduced(assumption)).
% 40.60/27.06 tff(28307,plain,
% 40.60/27.06 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB58))),
% 40.60/27.06 inference(quant_inst,[status(thm)],[])).
% 40.60/27.06 tff(28308,plain,
% 40.60/27.06 ($false),
% 40.60/27.06 inference(unit_resolution,[status(thm)],[28307, 11110, 28306])).
% 40.60/27.06 tff(28309,plain,(~v18(constB58)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.06 tff(28310,plain,
% 40.60/27.06 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28311,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28312,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28311, 28310])).
% 40.60/27.07 tff(28313,plain,
% 40.60/27.07 (v22(constB58)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28312, 11120, 7220])).
% 40.60/27.07 tff(28314,plain,
% 40.60/27.07 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB58)) | (~v22(constB58)) | v18(constB58))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB58)) | (~v22(constB58)) | v18(constB58))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28315,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB58)) | (~v22(constB58)) | v18(constB58))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28316,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB58)) | (~v22(constB58)) | v18(constB58)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28315, 28314])).
% 40.60/27.07 tff(28317,plain,
% 40.60/27.07 ((~v19(constB58)) | v18(constB58)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28316, 11134, 28313])).
% 40.60/27.07 tff(28318,plain,
% 40.60/27.07 (~v19(constB58)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28317, 28309])).
% 40.60/27.07 tff(28319,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28320,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28321,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28320, 28319])).
% 40.60/27.07 tff(28322,plain,
% 40.60/27.07 (v13(constB58)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28321, 11149, 28318])).
% 40.60/27.07 tff(28323,plain,
% 40.60/27.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28324,plain,
% 40.60/27.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28325,plain,
% 40.60/27.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28324, 28323])).
% 40.60/27.07 tff(28326,plain,
% 40.60/27.07 ((~v13(constB58)) | v9(constB57)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28325, 11163, 7208])).
% 40.60/27.07 tff(28327,plain,
% 40.60/27.07 (v9(constB57)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28326, 28322])).
% 40.60/27.07 tff(28328,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v184(constB57))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB57) | (~v9(constB57)) | v184(constB57))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28329,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v184(constB57))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28330,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB57) | (~v9(constB57)) | v184(constB57)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28329, 28328])).
% 40.60/27.07 tff(28331,plain,
% 40.60/27.07 ((~v9(constB57)) | v184(constB57)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28330, 11178, 7205])).
% 40.60/27.07 tff(28332,plain,
% 40.60/27.07 (v184(constB57)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28331, 28327])).
% 40.60/27.07 tff(28333,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB57) | (~v184(constB57)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB57) | (~v184(constB57)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28334,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB57) | (~v184(constB57)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28335,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB57) | (~v184(constB57))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28334, 28333])).
% 40.60/27.07 tff(28336,plain,
% 40.60/27.07 (v183(constB57)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28335, 11190, 28332])).
% 40.60/27.07 tff(28337,plain,
% 40.60/27.07 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB57)) | (~v181(constB57)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB57)) | (~v181(constB57)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28338,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB57)) | (~v181(constB57)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28339,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB57)) | (~v181(constB57))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28338, 28337])).
% 40.60/27.07 tff(28340,plain,
% 40.60/27.07 (~v181(constB57)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28339, 11201, 28336])).
% 40.60/27.07 tff(28341,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB57) | v185(constB57) | (~v178(constB57)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB57) | v185(constB57) | (~v178(constB57)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28342,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB57) | v185(constB57) | (~v178(constB57)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28343,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB57) | v185(constB57) | (~v178(constB57))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28342, 28341])).
% 40.60/27.07 tff(28344,plain,
% 40.60/27.07 (v185(constB57) | (~v178(constB57))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28343, 11215, 28340])).
% 40.60/27.07 tff(28345,plain,
% 40.60/27.07 (~v178(constB57)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28344, 28305])).
% 40.60/27.07 tff(28346,plain,
% 40.60/27.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28347,plain,
% 40.60/27.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28348,plain,
% 40.60/27.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28347, 28346])).
% 40.60/27.07 tff(28349,plain,
% 40.60/27.07 (v178(constB57) | (~v180(constB58))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28348, 11230, 7208])).
% 40.60/27.07 tff(28350,plain,
% 40.60/27.07 (~v180(constB58)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28349, 28345])).
% 40.60/27.07 tff(28351,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB58) | (~v181(constB58)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB58) | (~v181(constB58)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28352,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB58) | (~v181(constB58)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28353,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB58) | (~v181(constB58))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28352, 28351])).
% 40.60/27.07 tff(28354,plain,
% 40.60/27.07 (~v181(constB58)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28353, 11242, 28350])).
% 40.60/27.07 tff(28355,plain,
% 40.60/27.07 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB58)) | (~v184(constB58)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB58)) | (~v184(constB58)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28356,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB58)) | (~v184(constB58)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28357,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB58)) | (~v184(constB58))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28356, 28355])).
% 40.60/27.07 tff(28358,plain,
% 40.60/27.07 (~v184(constB58)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28357, 11253, 7220])).
% 40.60/27.07 tff(28359,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB58) | (~v187(constB58)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB58) | (~v187(constB58)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28360,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB58) | (~v187(constB58)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28361,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB58) | (~v187(constB58))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28360, 28359])).
% 40.60/27.07 tff(28362,plain,
% 40.60/27.07 (~v187(constB58)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28361, 11264, 28358])).
% 40.60/27.07 tff(28363,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB58) | (~v185(constB58)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB58) | (~v185(constB58)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28364,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB58) | (~v185(constB58)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28365,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB58) | (~v185(constB58))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28364, 28363])).
% 40.60/27.07 tff(28366,plain,
% 40.60/27.07 (~v185(constB58)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28365, 11098, 28362])).
% 40.60/27.07 tff(28367,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB58) | v185(constB58) | (~v178(constB58)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB58) | v185(constB58) | (~v178(constB58)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28368,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB58) | v185(constB58) | (~v178(constB58)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28369,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB58) | v185(constB58) | (~v178(constB58))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28368, 28367])).
% 40.60/27.07 tff(28370,plain,
% 40.60/27.07 (v181(constB58) | (~v178(constB58))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28369, 11215, 28366])).
% 40.60/27.07 tff(28371,plain,
% 40.60/27.07 (~v178(constB58)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28370, 28354])).
% 40.60/27.07 tff(28372,plain,
% 40.60/27.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28373,plain,
% 40.60/27.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28374,plain,
% 40.60/27.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28373, 28372])).
% 40.60/27.07 tff(28375,plain,
% 40.60/27.07 (v178(constB58) | (~v180(constB59))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28374, 11230, 7692])).
% 40.60/27.07 tff(28376,plain,
% 40.60/27.07 (~v180(constB59)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28375, 28371])).
% 40.60/27.07 tff(28377,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB59) | (~v181(constB59)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB59) | (~v181(constB59)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28378,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB59) | (~v181(constB59)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28379,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB59) | (~v181(constB59))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28378, 28377])).
% 40.60/27.07 tff(28380,plain,
% 40.60/27.07 (~v181(constB59)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28379, 11242, 28376])).
% 40.60/27.07 tff(28381,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB59) | v170(constB59) | (~v169(constB59)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB59) | v170(constB59) | (~v169(constB59)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28382,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB59) | v170(constB59) | (~v169(constB59)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28383,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB59) | v170(constB59) | (~v169(constB59))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28382, 28381])).
% 40.60/27.07 tff(28384,plain,
% 40.60/27.07 (v170(constB59) | (~v169(constB59))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28383, 11040, 10929])).
% 40.60/27.07 tff(28385,plain,
% 40.60/27.07 (~v169(constB59)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28384, 10922])).
% 40.60/27.07 tff(28386,plain,
% 40.60/27.07 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB59)) | (~v165(constB59)) | v169(constB59))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB59)) | (~v165(constB59)) | v169(constB59))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28387,plain,
% 40.60/27.07 (((~v165(constB59)) | v169(constB59) | (~v162(constB59))) <=> ((~v162(constB59)) | (~v165(constB59)) | v169(constB59))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28388,plain,
% 40.60/27.07 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB59)) | v169(constB59) | (~v162(constB59)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB59)) | (~v165(constB59)) | v169(constB59)))),
% 40.60/27.07 inference(monotonicity,[status(thm)],[28387])).
% 40.60/27.07 tff(28389,plain,
% 40.60/27.07 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB59)) | v169(constB59) | (~v162(constB59)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB59)) | (~v165(constB59)) | v169(constB59))),
% 40.60/27.07 inference(transitivity,[status(thm)],[28388, 28386])).
% 40.60/27.07 tff(28390,plain,
% 40.60/27.07 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB59)) | v169(constB59) | (~v162(constB59)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28391,plain,
% 40.60/27.07 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB59)) | (~v165(constB59)) | v169(constB59)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28390, 28389])).
% 40.60/27.07 tff(28392,plain,
% 40.60/27.07 ((~v162(constB59)) | (~v165(constB59))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28391, 11073, 28385])).
% 40.60/27.07 tff(28393,plain,
% 40.60/27.07 (~v162(constB59)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28392, 10973])).
% 40.60/27.07 tff(28394,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB59) | (~v187(constB59)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB59) | (~v187(constB59)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28395,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB59) | (~v187(constB59)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28396,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB59) | (~v187(constB59))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28395, 28394])).
% 40.60/27.07 tff(28397,plain,
% 40.60/27.07 (~v187(constB59)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28396, 11087, 28393])).
% 40.60/27.07 tff(28398,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB59) | (~v185(constB59)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB59) | (~v185(constB59)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28399,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB59) | (~v185(constB59)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28400,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB59) | (~v185(constB59))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28399, 28398])).
% 40.60/27.07 tff(28401,plain,
% 40.60/27.07 (~v185(constB59)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28400, 11098, 28397])).
% 40.60/27.07 tff(28402,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB59) | v185(constB59) | (~v178(constB59)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB59) | v185(constB59) | (~v178(constB59)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28403,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB59) | v185(constB59) | (~v178(constB59)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28404,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB59) | v185(constB59) | (~v178(constB59))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28403, 28402])).
% 40.60/27.07 tff(28405,plain,
% 40.60/27.07 (v181(constB59) | (~v178(constB59))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28404, 11215, 28401])).
% 40.60/27.07 tff(28406,plain,
% 40.60/27.07 (~v178(constB59)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28405, 28380])).
% 40.60/27.07 tff(28407,plain,
% 40.60/27.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28408,plain,
% 40.60/27.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28409,plain,
% 40.60/27.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28408, 28407])).
% 40.60/27.07 tff(28410,plain,
% 40.60/27.07 (v178(constB59) | (~v180(constB60))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28409, 11230, 7925])).
% 40.60/27.07 tff(28411,plain,
% 40.60/27.07 (~v180(constB60)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28410, 28406])).
% 40.60/27.07 tff(28412,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB60) | (~v181(constB60)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB60) | (~v181(constB60)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28413,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB60) | (~v181(constB60)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28414,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB60) | (~v181(constB60))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28413, 28412])).
% 40.60/27.07 tff(28415,plain,
% 40.60/27.07 (~v181(constB60)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28414, 11242, 28411])).
% 40.60/27.07 tff(28416,plain,
% 40.60/27.07 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB60)) | (~v184(constB60)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB60)) | (~v184(constB60)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28417,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB60)) | (~v184(constB60)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28418,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB60)) | (~v184(constB60))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28417, 28416])).
% 40.60/27.07 tff(28419,plain,
% 40.60/27.07 (~v184(constB60)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28418, 11253, 7945])).
% 40.60/27.07 tff(28420,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB60) | (~v187(constB60)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB60) | (~v187(constB60)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28421,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB60) | (~v187(constB60)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28422,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB60) | (~v187(constB60))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28421, 28420])).
% 40.60/27.07 tff(28423,plain,
% 40.60/27.07 (~v187(constB60)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28422, 11264, 28419])).
% 40.60/27.07 tff(28424,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB60) | (~v185(constB60)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB60) | (~v185(constB60)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28425,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB60) | (~v185(constB60)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28426,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB60) | (~v185(constB60))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28425, 28424])).
% 40.60/27.07 tff(28427,plain,
% 40.60/27.07 (~v185(constB60)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28426, 11098, 28423])).
% 40.60/27.07 tff(28428,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB60) | v185(constB60) | (~v178(constB60)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB60) | v185(constB60) | (~v178(constB60)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28429,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB60) | v185(constB60) | (~v178(constB60)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28430,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB60) | v185(constB60) | (~v178(constB60))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28429, 28428])).
% 40.60/27.07 tff(28431,plain,
% 40.60/27.07 (v181(constB60) | (~v178(constB60))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28430, 11215, 28427])).
% 40.60/27.07 tff(28432,plain,
% 40.60/27.07 (~v178(constB60)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28431, 28415])).
% 40.60/27.07 tff(28433,plain,
% 40.60/27.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28434,plain,
% 40.60/27.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28435,plain,
% 40.60/27.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28434, 28433])).
% 40.60/27.07 tff(28436,plain,
% 40.60/27.07 (v178(constB60) | (~v180(constB61))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28435, 11230, 7987])).
% 40.60/27.07 tff(28437,plain,
% 40.60/27.07 (~v180(constB61)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28436, 28432])).
% 40.60/27.07 tff(28438,plain,
% 40.60/27.07 ($false),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28437, 28285])).
% 40.60/27.07 tff(28439,plain,((~(constB61 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.60/27.07 tff(28440,plain,
% 40.60/27.07 (~(constB61 = sK0_VarCurr)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28439, 10998])).
% 40.60/27.07 tff(28441,assumption,(constB32 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.07 tff(28442,plain,
% 40.60/27.07 (v1(constB32) <=> v1(sK0_VarCurr)),
% 40.60/27.07 inference(monotonicity,[status(thm)],[28441])).
% 40.60/27.07 tff(28443,plain,
% 40.60/27.07 (v1(sK0_VarCurr) <=> v1(constB32)),
% 40.60/27.07 inference(symmetry,[status(thm)],[28442])).
% 40.60/27.07 tff(28444,plain,
% 40.60/27.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB32))),
% 40.60/27.07 inference(monotonicity,[status(thm)],[28443])).
% 40.60/27.07 tff(28445,plain,
% 40.60/27.07 (~v1(constB32)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[21332, 28444])).
% 40.60/27.07 tff(28446,plain,
% 40.60/27.07 ($false),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[4635, 28445])).
% 40.60/27.07 tff(28447,plain,((~(constB32 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.07 tff(28448,plain,
% 40.60/27.07 (~(constB32 = sK0_VarCurr)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28447, 21327])).
% 40.60/27.07 tff(28449,assumption,(constB122 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.07 tff(28450,plain,
% 40.60/27.07 (v1(constB122) <=> v1(sK0_VarCurr)),
% 40.60/27.07 inference(monotonicity,[status(thm)],[28449])).
% 40.60/27.07 tff(28451,plain,
% 40.60/27.07 (v1(sK0_VarCurr) <=> v1(constB122)),
% 40.60/27.07 inference(symmetry,[status(thm)],[28450])).
% 40.60/27.07 tff(28452,plain,
% 40.60/27.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB122))),
% 40.60/27.07 inference(monotonicity,[status(thm)],[28451])).
% 40.60/27.07 tff(28453,plain,
% 40.60/27.07 (~v1(constB122)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[21332, 28452])).
% 40.60/27.07 tff(28454,plain,
% 40.60/27.07 ($false),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[15902, 28453])).
% 40.60/27.07 tff(28455,plain,((~(constB122 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.07 tff(28456,plain,
% 40.60/27.07 (~(constB122 = sK0_VarCurr)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28455, 21327])).
% 40.60/27.07 tff(28457,assumption,(constB173 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.07 tff(28458,plain,
% 40.60/27.07 (v180(constB173) <=> v180(sK0_VarCurr)),
% 40.60/27.07 inference(monotonicity,[status(thm)],[28457])).
% 40.60/27.07 tff(28459,plain,
% 40.60/27.07 (v180(sK0_VarCurr) <=> v180(constB173)),
% 40.60/27.07 inference(symmetry,[status(thm)],[28458])).
% 40.60/27.07 tff(28460,plain,
% 40.60/27.07 (v180(constB173)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[11002, 28459])).
% 40.60/27.07 tff(28461,plain,
% 40.60/27.07 (((~![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)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28462,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28463,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28462, 28461])).
% 40.60/27.07 tff(28464,plain,
% 40.60/27.07 (~v88(constB171, bitIndex2)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28463, 22090, 23582])).
% 40.60/27.07 tff(28465,plain,
% 40.60/27.07 (((~![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)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28466,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB171, bitIndex1) | (~v88(constB171, bitIndex1)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28467,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB171, bitIndex1) | (~v88(constB171, bitIndex1))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28466, 28465])).
% 40.60/27.07 tff(28468,plain,
% 40.60/27.07 (~v88(constB171, bitIndex1)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28467, 10784, 23619])).
% 40.60/27.07 tff(28469,plain,
% 40.60/27.07 (((~![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))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28470,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28471,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28470, 28469])).
% 40.60/27.07 tff(28472,plain,
% 40.60/27.07 (v88(constB171, bitIndex0)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28471, 10622, 23653])).
% 40.60/27.07 tff(28473,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex1) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)) | v140(constB171))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB171, bitIndex1) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)) | v140(constB171))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28474,plain,
% 40.60/27.07 ((v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171)) <=> (v88(constB171, bitIndex1) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)) | v140(constB171))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28475,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex1) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)) | v140(constB171)))),
% 40.60/27.07 inference(monotonicity,[status(thm)],[28474])).
% 40.60/27.07 tff(28476,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB171, bitIndex1) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)) | v140(constB171))),
% 40.60/27.07 inference(transitivity,[status(thm)],[28475, 28473])).
% 40.60/27.07 tff(28477,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28478,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB171, bitIndex1) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)) | v140(constB171)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28477, 28476])).
% 40.60/27.07 tff(28479,plain,
% 40.60/27.07 (v140(constB171)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28478, 26634, 28472, 28468, 28464])).
% 40.60/27.07 tff(28480,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB171) | (~v140(constB171)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB171) | (~v140(constB171)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28481,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB171) | (~v140(constB171)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28482,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB171) | (~v140(constB171))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28481, 28480])).
% 40.60/27.07 tff(28483,plain,
% 40.60/27.07 (v170(constB171)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28482, 26648, 28479])).
% 40.60/27.07 tff(28484,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB171) | (~v170(constB171)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB171) | (~v170(constB171)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28485,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB171) | (~v170(constB171)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28486,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB171) | (~v170(constB171))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28485, 28484])).
% 40.60/27.07 tff(28487,plain,
% 40.60/27.07 (v167(constB171)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28486, 26659, 28483])).
% 40.60/27.07 tff(28488,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB171) | (~v167(constB171)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB171) | (~v167(constB171)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28489,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB171) | (~v167(constB171)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28490,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB171) | (~v167(constB171))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28489, 28488])).
% 40.60/27.07 tff(28491,plain,
% 40.60/27.07 (v166(constB171)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28490, 22146, 28487])).
% 40.60/27.07 tff(28492,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB171) | (~v166(constB171)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB171) | (~v166(constB171)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28493,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB171) | (~v166(constB171)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28494,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB171) | (~v166(constB171))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28493, 28492])).
% 40.60/27.07 tff(28495,plain,
% 40.60/27.07 (v165(constB171)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28494, 21181, 28491])).
% 40.60/27.07 tff(28496,plain,
% 40.60/27.07 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB171)) | (~v170(constB171)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB171)) | (~v170(constB171)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28497,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB171)) | (~v170(constB171)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28498,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB171)) | (~v170(constB171))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28497, 28496])).
% 40.60/27.07 tff(28499,plain,
% 40.60/27.07 (~v169(constB171)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28498, 26678, 28483])).
% 40.60/27.07 tff(28500,plain,
% 40.60/27.07 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB171)) | (~v165(constB171)) | v169(constB171))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB171)) | (~v165(constB171)) | v169(constB171))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28501,plain,
% 40.60/27.07 (((~v165(constB171)) | v169(constB171) | (~v162(constB171))) <=> ((~v162(constB171)) | (~v165(constB171)) | v169(constB171))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28502,plain,
% 40.60/27.07 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB171)) | v169(constB171) | (~v162(constB171)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB171)) | (~v165(constB171)) | v169(constB171)))),
% 40.60/27.07 inference(monotonicity,[status(thm)],[28501])).
% 40.60/27.07 tff(28503,plain,
% 40.60/27.07 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB171)) | v169(constB171) | (~v162(constB171)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB171)) | (~v165(constB171)) | v169(constB171))),
% 40.60/27.07 inference(transitivity,[status(thm)],[28502, 28500])).
% 40.60/27.07 tff(28504,plain,
% 40.60/27.07 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB171)) | v169(constB171) | (~v162(constB171)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28505,plain,
% 40.60/27.07 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB171)) | (~v165(constB171)) | v169(constB171)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28504, 28503])).
% 40.60/27.07 tff(28506,plain,
% 40.60/27.07 ((~v162(constB171)) | (~v165(constB171))),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28505, 11073, 28499])).
% 40.60/27.07 tff(28507,plain,
% 40.60/27.07 (~v162(constB171)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28506, 28495])).
% 40.60/27.07 tff(28508,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB171) | (~v187(constB171)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB171) | (~v187(constB171)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28509,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB171) | (~v187(constB171)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28510,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB171) | (~v187(constB171))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28509, 28508])).
% 40.60/27.07 tff(28511,plain,
% 40.60/27.07 (~v187(constB171)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28510, 11087, 28507])).
% 40.60/27.07 tff(28512,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB171) | (~v185(constB171)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB171) | (~v185(constB171)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28513,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB171) | (~v185(constB171)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28514,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB171) | (~v185(constB171))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28513, 28512])).
% 40.60/27.07 tff(28515,plain,
% 40.60/27.07 (~v185(constB171)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28514, 11098, 28511])).
% 40.60/27.07 tff(28516,plain,
% 40.60/27.07 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0)))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28517,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0)))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28518,plain,
% 40.60/27.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB169, bitIndex0) | (~v88(constB169, bitIndex0))),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28517, 28516])).
% 40.60/27.07 tff(28519,plain,
% 40.60/27.07 (~v88(constB169, bitIndex0)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28518, 14645, 23442])).
% 40.60/27.07 tff(28520,plain,
% 40.60/27.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))),
% 40.60/27.07 inference(rewrite,[status(thm)],[])).
% 40.60/27.07 tff(28521,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))),
% 40.60/27.07 inference(quant_inst,[status(thm)],[])).
% 40.60/27.07 tff(28522,plain,
% 40.60/27.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2)),
% 40.60/27.07 inference(modus_ponens,[status(thm)],[28521, 28520])).
% 40.60/27.07 tff(28523,plain,
% 40.60/27.07 (v88(constB169, bitIndex2)),
% 40.60/27.07 inference(unit_resolution,[status(thm)],[28522, 10566, 23377])).
% 40.60/27.08 tff(28524,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28525,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28526,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28525, 28524])).
% 40.60/27.08 tff(28527,plain,
% 40.60/27.08 (v88(constB169, bitIndex1)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28526, 21131, 23408])).
% 40.60/27.08 tff(28528,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | v144(constB169))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | v144(constB169))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28529,plain,
% 40.60/27.08 (((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169)) <=> ((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | v144(constB169))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28530,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | v144(constB169)))),
% 40.60/27.08 inference(monotonicity,[status(thm)],[28529])).
% 40.60/27.08 tff(28531,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | v144(constB169))),
% 40.60/27.08 inference(transitivity,[status(thm)],[28530, 28528])).
% 40.60/27.08 tff(28532,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28533,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0) | v144(constB169)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28532, 28531])).
% 40.60/27.08 tff(28534,plain,
% 40.60/27.08 (v144(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28533, 21145, 28527, 28523, 28519])).
% 40.60/27.08 tff(28535,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB169) | (~v144(constB169)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB169) | (~v144(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28536,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB169) | (~v144(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28537,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB169) | (~v144(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28536, 28535])).
% 40.60/27.08 tff(28538,plain,
% 40.60/27.08 (v142(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28537, 21159, 28534])).
% 40.60/27.08 tff(28539,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB169) | (~v142(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28540,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB169) | (~v142(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28541,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB169) | (~v142(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28540, 28539])).
% 40.60/27.08 tff(28542,plain,
% 40.60/27.08 (v166(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28541, 21170, 28538])).
% 40.60/27.08 tff(28543,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB169) | (~v166(constB169)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB169) | (~v166(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28544,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB169) | (~v166(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28545,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB169) | (~v166(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28544, 28543])).
% 40.60/27.08 tff(28546,plain,
% 40.60/27.08 (v165(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28545, 21181, 28542])).
% 40.60/27.08 tff(28547,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB169, bitIndex1)) | (~v139(constB169)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB169, bitIndex1)) | (~v139(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28548,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB169, bitIndex1)) | (~v139(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28549,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB169, bitIndex1)) | (~v139(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28548, 28547])).
% 40.60/27.08 tff(28550,plain,
% 40.60/27.08 (~v139(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28549, 21192, 28527])).
% 40.60/27.08 tff(28551,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB169, bitIndex1)) | (~v140(constB169)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB169, bitIndex1)) | (~v140(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28552,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB169, bitIndex1)) | (~v140(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28553,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB169, bitIndex1)) | (~v140(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28552, 28551])).
% 40.60/27.08 tff(28554,plain,
% 40.60/27.08 (~v140(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28553, 21203, 28527])).
% 40.60/27.08 tff(28555,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB169) | v139(constB169) | (~v170(constB169)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB169) | v139(constB169) | (~v170(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28556,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB169) | v139(constB169) | (~v170(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28557,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB169) | v139(constB169) | (~v170(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28556, 28555])).
% 40.60/27.08 tff(28558,plain,
% 40.60/27.08 (~v170(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28557, 10647, 28554, 28550])).
% 40.60/27.08 tff(28559,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB169, bitIndex2)) | (~v141(constB169)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB169, bitIndex2)) | (~v141(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28560,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB169, bitIndex2)) | (~v141(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28561,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB169, bitIndex2)) | (~v141(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28560, 28559])).
% 40.60/27.08 tff(28562,plain,
% 40.60/27.08 (~v141(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28561, 10658, 28523])).
% 40.60/27.08 tff(28563,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB169) | v170(constB169) | (~v169(constB169)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB169) | v170(constB169) | (~v169(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28564,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB169) | v170(constB169) | (~v169(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28565,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB169) | v170(constB169) | (~v169(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28564, 28563])).
% 40.60/27.08 tff(28566,plain,
% 40.60/27.08 (~v169(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28565, 11040, 28562, 28558])).
% 40.60/27.08 tff(28567,plain,
% 40.60/27.08 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB169)) | (~v165(constB169)) | v169(constB169))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB169)) | (~v165(constB169)) | v169(constB169))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28568,plain,
% 40.60/27.08 (((~v165(constB169)) | v169(constB169) | (~v162(constB169))) <=> ((~v162(constB169)) | (~v165(constB169)) | v169(constB169))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28569,plain,
% 40.60/27.08 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB169)) | v169(constB169) | (~v162(constB169)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB169)) | (~v165(constB169)) | v169(constB169)))),
% 40.60/27.08 inference(monotonicity,[status(thm)],[28568])).
% 40.60/27.08 tff(28570,plain,
% 40.60/27.08 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB169)) | v169(constB169) | (~v162(constB169)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB169)) | (~v165(constB169)) | v169(constB169))),
% 40.60/27.08 inference(transitivity,[status(thm)],[28569, 28567])).
% 40.60/27.08 tff(28571,plain,
% 40.60/27.08 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB169)) | v169(constB169) | (~v162(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28572,plain,
% 40.60/27.08 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB169)) | (~v165(constB169)) | v169(constB169)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28571, 28570])).
% 40.60/27.08 tff(28573,plain,
% 40.60/27.08 ((~v162(constB169)) | (~v165(constB169))),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28572, 11073, 28566])).
% 40.60/27.08 tff(28574,plain,
% 40.60/27.08 (~v162(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28573, 28546])).
% 40.60/27.08 tff(28575,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB169) | (~v187(constB169)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB169) | (~v187(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28576,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB169) | (~v187(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28577,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB169) | (~v187(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28576, 28575])).
% 40.60/27.08 tff(28578,plain,
% 40.60/27.08 (~v187(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28577, 11087, 28574])).
% 40.60/27.08 tff(28579,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB169) | (~v185(constB169)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB169) | (~v185(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28580,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB169) | (~v185(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28581,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB169) | (~v185(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28580, 28579])).
% 40.60/27.08 tff(28582,plain,
% 40.60/27.08 (~v185(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28581, 11098, 28578])).
% 40.60/27.08 tff(28583,assumption,(v18(constB170)), introduced(assumption)).
% 40.60/27.08 tff(28584,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB170))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28585,plain,
% 40.60/27.08 ($false),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28584, 11110, 28583])).
% 40.60/27.08 tff(28586,plain,(~v18(constB170)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.08 tff(28587,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28588,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28589,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28588, 28587])).
% 40.60/27.08 tff(28590,plain,
% 40.60/27.08 (v22(constB170)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28589, 11120, 23489])).
% 40.60/27.08 tff(28591,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB170)) | (~v22(constB170)) | v18(constB170))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB170)) | (~v22(constB170)) | v18(constB170))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28592,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB170)) | (~v22(constB170)) | v18(constB170))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28593,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB170)) | (~v22(constB170)) | v18(constB170)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28592, 28591])).
% 40.60/27.08 tff(28594,plain,
% 40.60/27.08 ((~v19(constB170)) | v18(constB170)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28593, 11134, 28590])).
% 40.60/27.08 tff(28595,plain,
% 40.60/27.08 (~v19(constB170)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28594, 28586])).
% 40.60/27.08 tff(28596,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28597,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28598,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28597, 28596])).
% 40.60/27.08 tff(28599,plain,
% 40.60/27.08 (v13(constB170)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28598, 11149, 28595])).
% 40.60/27.08 tff(28600,plain,
% 40.60/27.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28601,plain,
% 40.60/27.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28602,plain,
% 40.60/27.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28601, 28600])).
% 40.60/27.08 tff(28603,plain,
% 40.60/27.08 ((~v13(constB170)) | v9(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28602, 11163, 23469])).
% 40.60/27.08 tff(28604,plain,
% 40.60/27.08 (v9(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28603, 28599])).
% 40.60/27.08 tff(28605,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v184(constB169))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB169) | (~v9(constB169)) | v184(constB169))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28606,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v184(constB169))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28607,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB169) | (~v9(constB169)) | v184(constB169)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28606, 28605])).
% 40.60/27.08 tff(28608,plain,
% 40.60/27.08 ((~v9(constB169)) | v184(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28607, 11178, 23353])).
% 40.60/27.08 tff(28609,plain,
% 40.60/27.08 (v184(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28608, 28604])).
% 40.60/27.08 tff(28610,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB169) | (~v184(constB169)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB169) | (~v184(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28611,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB169) | (~v184(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28612,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB169) | (~v184(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28611, 28610])).
% 40.60/27.08 tff(28613,plain,
% 40.60/27.08 (v183(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28612, 11190, 28609])).
% 40.60/27.08 tff(28614,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB169)) | (~v183(constB169)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB169)) | (~v183(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28615,plain,
% 40.60/27.08 (((~v183(constB169)) | (~v181(constB169))) <=> ((~v181(constB169)) | (~v183(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28616,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB169)) | (~v181(constB169)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB169)) | (~v183(constB169))))),
% 40.60/27.08 inference(monotonicity,[status(thm)],[28615])).
% 40.60/27.08 tff(28617,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB169)) | (~v181(constB169)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB169)) | (~v183(constB169)))),
% 40.60/27.08 inference(transitivity,[status(thm)],[28616, 28614])).
% 40.60/27.08 tff(28618,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB169)) | (~v181(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28619,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB169)) | (~v183(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28618, 28617])).
% 40.60/27.08 tff(28620,plain,
% 40.60/27.08 (~v181(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28619, 11201, 28613])).
% 40.60/27.08 tff(28621,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB169) | v185(constB169) | (~v178(constB169)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB169) | v185(constB169) | (~v178(constB169)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28622,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB169) | v185(constB169) | (~v178(constB169)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28623,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB169) | v185(constB169) | (~v178(constB169))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28622, 28621])).
% 40.60/27.08 tff(28624,plain,
% 40.60/27.08 (v185(constB169) | (~v178(constB169))),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28623, 11215, 28620])).
% 40.60/27.08 tff(28625,plain,
% 40.60/27.08 (~v178(constB169)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28624, 28582])).
% 40.60/27.08 tff(28626,plain,
% 40.60/27.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28627,plain,
% 40.60/27.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28628,plain,
% 40.60/27.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28627, 28626])).
% 40.60/27.08 tff(28629,plain,
% 40.60/27.08 (v178(constB169) | (~v180(constB170))),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28628, 11230, 23469])).
% 40.60/27.08 tff(28630,plain,
% 40.60/27.08 (~v180(constB170)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28629, 28625])).
% 40.60/27.08 tff(28631,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB170) | (~v181(constB170)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB170) | (~v181(constB170)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28632,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB170) | (~v181(constB170)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28633,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB170) | (~v181(constB170))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28632, 28631])).
% 40.60/27.08 tff(28634,plain,
% 40.60/27.08 (~v181(constB170)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28633, 11242, 28630])).
% 40.60/27.08 tff(28635,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB170)) | (~v184(constB170)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB170)) | (~v184(constB170)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28636,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB170)) | (~v184(constB170)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28637,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB170)) | (~v184(constB170))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28636, 28635])).
% 40.60/27.08 tff(28638,plain,
% 40.60/27.08 (~v184(constB170)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28637, 11253, 23489])).
% 40.60/27.08 tff(28639,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB170) | (~v187(constB170)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB170) | (~v187(constB170)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28640,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB170) | (~v187(constB170)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28641,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB170) | (~v187(constB170))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28640, 28639])).
% 40.60/27.08 tff(28642,plain,
% 40.60/27.08 (~v187(constB170)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28641, 11264, 28638])).
% 40.60/27.08 tff(28643,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB170) | (~v185(constB170)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB170) | (~v185(constB170)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28644,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB170) | (~v185(constB170)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28645,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB170) | (~v185(constB170))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28644, 28643])).
% 40.60/27.08 tff(28646,plain,
% 40.60/27.08 (~v185(constB170)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28645, 11098, 28642])).
% 40.60/27.08 tff(28647,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB170) | v185(constB170) | (~v178(constB170)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB170) | v185(constB170) | (~v178(constB170)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28648,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB170) | v185(constB170) | (~v178(constB170)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28649,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB170) | v185(constB170) | (~v178(constB170))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28648, 28647])).
% 40.60/27.08 tff(28650,plain,
% 40.60/27.08 (v181(constB170) | (~v178(constB170))),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28649, 11215, 28646])).
% 40.60/27.08 tff(28651,plain,
% 40.60/27.08 (~v178(constB170)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28650, 28634])).
% 40.60/27.08 tff(28652,plain,
% 40.60/27.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28653,plain,
% 40.60/27.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28654,plain,
% 40.60/27.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28653, 28652])).
% 40.60/27.08 tff(28655,plain,
% 40.60/27.08 (v178(constB170) | (~v180(constB171))),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28654, 11230, 23561])).
% 40.60/27.08 tff(28656,plain,
% 40.60/27.08 (~v180(constB171)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28655, 28651])).
% 40.60/27.08 tff(28657,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB171) | (~v181(constB171)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB171) | (~v181(constB171)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28658,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB171) | (~v181(constB171)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28659,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB171) | (~v181(constB171))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28658, 28657])).
% 40.60/27.08 tff(28660,plain,
% 40.60/27.08 (~v181(constB171)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28659, 11242, 28656])).
% 40.60/27.08 tff(28661,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB171) | v185(constB171) | (~v178(constB171)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB171) | v185(constB171) | (~v178(constB171)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28662,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB171) | v185(constB171) | (~v178(constB171)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28663,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB171) | v185(constB171) | (~v178(constB171))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28662, 28661])).
% 40.60/27.08 tff(28664,plain,
% 40.60/27.08 (v185(constB171) | (~v178(constB171))),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28663, 11215, 28660])).
% 40.60/27.08 tff(28665,plain,
% 40.60/27.08 (~v178(constB171)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28664, 28515])).
% 40.60/27.08 tff(28666,plain,
% 40.60/27.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB171, constB172)) | v178(constB171) | (~v180(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB171, constB172)) | v178(constB171) | (~v180(constB172)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28667,plain,
% 40.60/27.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB171, constB172)) | v178(constB171) | (~v180(constB172)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28668,plain,
% 40.60/27.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB171, constB172)) | v178(constB171) | (~v180(constB172))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28667, 28666])).
% 40.60/27.08 tff(28669,plain,
% 40.60/27.08 (v178(constB171) | (~v180(constB172))),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28668, 11230, 23681])).
% 40.60/27.08 tff(28670,plain,
% 40.60/27.08 (~v180(constB172)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28669, 28665])).
% 40.60/27.08 tff(28671,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB172) | (~v181(constB172)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB172) | (~v181(constB172)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28672,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB172) | (~v181(constB172)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28673,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB172) | (~v181(constB172))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28672, 28671])).
% 40.60/27.08 tff(28674,plain,
% 40.60/27.08 (~v181(constB172)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28673, 11242, 28670])).
% 40.60/27.08 tff(28675,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB172)) | (~v184(constB172)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB172)) | (~v184(constB172)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28676,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB172)) | (~v184(constB172)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28677,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB172)) | (~v184(constB172))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28676, 28675])).
% 40.60/27.08 tff(28678,plain,
% 40.60/27.08 (~v184(constB172)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28677, 11253, 23790])).
% 40.60/27.08 tff(28679,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB172) | (~v187(constB172)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB172) | (~v187(constB172)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28680,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB172) | (~v187(constB172)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28681,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB172) | (~v187(constB172))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28680, 28679])).
% 40.60/27.08 tff(28682,plain,
% 40.60/27.08 (~v187(constB172)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28681, 11264, 28678])).
% 40.60/27.08 tff(28683,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB172) | (~v185(constB172)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB172) | (~v185(constB172)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28684,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB172) | (~v185(constB172)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28685,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB172) | (~v185(constB172))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28684, 28683])).
% 40.60/27.08 tff(28686,plain,
% 40.60/27.08 (~v185(constB172)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28685, 11098, 28682])).
% 40.60/27.08 tff(28687,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB172) | v185(constB172) | (~v178(constB172)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB172) | v185(constB172) | (~v178(constB172)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28688,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB172) | v185(constB172) | (~v178(constB172)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28689,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB172) | v185(constB172) | (~v178(constB172))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28688, 28687])).
% 40.60/27.08 tff(28690,plain,
% 40.60/27.08 (v181(constB172) | (~v178(constB172))),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28689, 11215, 28686])).
% 40.60/27.08 tff(28691,plain,
% 40.60/27.08 (~v178(constB172)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28690, 28674])).
% 40.60/27.08 tff(28692,plain,
% 40.60/27.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB172, constB173)) | v178(constB172) | (~v180(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB172, constB173)) | v178(constB172) | (~v180(constB173)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28693,plain,
% 40.60/27.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB172, constB173)) | v178(constB172) | (~v180(constB173)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28694,plain,
% 40.60/27.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB172, constB173)) | v178(constB172) | (~v180(constB173))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28693, 28692])).
% 40.60/27.08 tff(28695,plain,
% 40.60/27.08 (v178(constB172) | (~v180(constB173))),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28694, 11230, 23812])).
% 40.60/27.08 tff(28696,plain,
% 40.60/27.08 (~v180(constB173)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28695, 28691])).
% 40.60/27.08 tff(28697,plain,
% 40.60/27.08 ($false),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28696, 28460])).
% 40.60/27.08 tff(28698,plain,((~(constB173 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.60/27.08 tff(28699,plain,
% 40.60/27.08 (~(constB173 = sK0_VarCurr)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28698, 10998])).
% 40.60/27.08 tff(28700,assumption,(constB198 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.08 tff(28701,plain,
% 40.60/27.08 (v1(constB198) <=> v1(sK0_VarCurr)),
% 40.60/27.08 inference(monotonicity,[status(thm)],[28700])).
% 40.60/27.08 tff(28702,plain,
% 40.60/27.08 (v1(sK0_VarCurr) <=> v1(constB198)),
% 40.60/27.08 inference(symmetry,[status(thm)],[28701])).
% 40.60/27.08 tff(28703,plain,
% 40.60/27.08 ((~v1(sK0_VarCurr)) <=> (~v1(constB198))),
% 40.60/27.08 inference(monotonicity,[status(thm)],[28702])).
% 40.60/27.08 tff(28704,plain,
% 40.60/27.08 (~v1(constB198)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[21332, 28703])).
% 40.60/27.08 tff(28705,plain,
% 40.60/27.08 (v1(constB198) <=> v1(constB198)),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28706,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 40.60/27.08 tff(28707,plain,
% 40.60/27.08 (v1(constB198)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28706, 28705])).
% 40.60/27.08 tff(28708,plain,
% 40.60/27.08 ($false),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28707, 28704])).
% 40.60/27.08 tff(28709,plain,((~(constB198 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.08 tff(28710,plain,
% 40.60/27.08 (~(constB198 = sK0_VarCurr)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28709, 21327])).
% 40.60/27.08 tff(28711,assumption,(constB175 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.08 tff(28712,plain,
% 40.60/27.08 (v180(constB175) <=> v180(sK0_VarCurr)),
% 40.60/27.08 inference(monotonicity,[status(thm)],[28711])).
% 40.60/27.08 tff(28713,plain,
% 40.60/27.08 (v180(sK0_VarCurr) <=> v180(constB175)),
% 40.60/27.08 inference(symmetry,[status(thm)],[28712])).
% 40.60/27.08 tff(28714,plain,
% 40.60/27.08 (v180(constB175)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[11002, 28713])).
% 40.60/27.08 tff(28715,plain,
% 40.60/27.08 (~v130(constB171, bitIndex2)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23941, 685, 23660])).
% 40.60/27.08 tff(28716,plain,
% 40.60/27.08 (~v127(constB171, bitIndex2)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23949, 28715])).
% 40.60/27.08 tff(28717,plain,
% 40.60/27.08 (~v129(constB172, bitIndex2)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23954, 28716])).
% 40.60/27.08 tff(28718,plain,
% 40.60/27.08 (~v130(constB171, bitIndex0)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23664, 930, 23660])).
% 40.60/27.08 tff(28719,plain,
% 40.60/27.08 (~v127(constB171, bitIndex0)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23676, 28718])).
% 40.60/27.08 tff(28720,plain,
% 40.60/27.08 (~v90(constB172, bitIndex0)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23805, 28719])).
% 40.60/27.08 tff(28721,plain,
% 40.60/27.08 (v100(constB172)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23920, 28720])).
% 40.60/27.08 tff(28722,plain,
% 40.60/27.08 (~v90(constB172, bitIndex2)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23961, 468, 28721, 28717])).
% 40.60/27.08 tff(28723,plain,
% 40.60/27.08 (~v90(constB173, bitIndex2)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23971, 28722])).
% 40.60/27.08 tff(28724,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB173, bitIndex2) | (~v88(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB173, bitIndex2) | (~v88(constB173, bitIndex2)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28725,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB173, bitIndex2) | (~v88(constB173, bitIndex2)))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28726,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB173, bitIndex2) | (~v88(constB173, bitIndex2))),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28725, 28724])).
% 40.60/27.08 tff(28727,plain,
% 40.60/27.08 (~v88(constB173, bitIndex2)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28726, 22090, 28723])).
% 40.60/27.08 tff(28728,plain,
% 40.60/27.08 (v130(constB171, bitIndex1)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23837, 868, 23660])).
% 40.60/27.08 tff(28729,plain,
% 40.60/27.08 (v127(constB171, bitIndex1)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23842, 28728])).
% 40.60/27.08 tff(28730,plain,
% 40.60/27.08 (v129(constB172, bitIndex1)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23847, 28729])).
% 40.60/27.08 tff(28731,plain,
% 40.60/27.08 (v90(constB172, bitIndex1)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23927, 912, 28721, 28730])).
% 40.60/27.08 tff(28732,plain,
% 40.60/27.08 (v90(constB173, bitIndex1)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23937, 28731])).
% 40.60/27.08 tff(28733,plain,
% 40.60/27.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB173, bitIndex1)) | v88(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB173, bitIndex1)) | v88(constB173, bitIndex1))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28734,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB173, bitIndex1)) | v88(constB173, bitIndex1))),
% 40.60/27.08 inference(quant_inst,[status(thm)],[])).
% 40.60/27.08 tff(28735,plain,
% 40.60/27.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB173, bitIndex1)) | v88(constB173, bitIndex1)),
% 40.60/27.08 inference(modus_ponens,[status(thm)],[28734, 28733])).
% 40.60/27.08 tff(28736,plain,
% 40.60/27.08 (v88(constB173, bitIndex1)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[28735, 21131, 28732])).
% 40.60/27.08 tff(28737,plain,
% 40.60/27.08 (~v90(constB173, bitIndex0)),
% 40.60/27.08 inference(unit_resolution,[status(thm)],[23832, 28720])).
% 40.60/27.08 tff(28738,plain,
% 40.60/27.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB173, bitIndex0) | (~v88(constB173, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB173, bitIndex0) | (~v88(constB173, bitIndex0)))),
% 40.60/27.08 inference(rewrite,[status(thm)],[])).
% 40.60/27.08 tff(28739,plain,
% 40.60/27.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB173, bitIndex0) | (~v88(constB173, bitIndex0)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28740,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB173, bitIndex0) | (~v88(constB173, bitIndex0))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28739, 28738])).
% 40.60/27.09 tff(28741,plain,
% 40.60/27.09 (~v88(constB173, bitIndex0)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28740, 14645, 28737])).
% 40.60/27.09 tff(28742,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v143(constB173))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v143(constB173))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28743,plain,
% 40.60/27.09 ((v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0) | v143(constB173)) <=> (v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v143(constB173))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28744,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0) | v143(constB173))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v143(constB173)))),
% 40.60/27.09 inference(monotonicity,[status(thm)],[28743])).
% 40.60/27.09 tff(28745,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0) | v143(constB173))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v143(constB173))),
% 40.60/27.09 inference(transitivity,[status(thm)],[28744, 28742])).
% 40.60/27.09 tff(28746,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0) | v143(constB173))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28747,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v143(constB173)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28746, 28745])).
% 40.60/27.09 tff(28748,plain,
% 40.60/27.09 (v143(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28747, 22766, 28741, 28736, 28727])).
% 40.60/27.09 tff(28749,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB173) | (~v143(constB173)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB173) | (~v143(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28750,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB173) | (~v143(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28751,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB173) | (~v143(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28750, 28749])).
% 40.60/27.09 tff(28752,plain,
% 40.60/27.09 (v142(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28751, 22780, 28748])).
% 40.60/27.09 tff(28753,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB173) | (~v142(constB173)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB173) | (~v142(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28754,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB173) | (~v142(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28755,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB173) | (~v142(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28754, 28753])).
% 40.60/27.09 tff(28756,plain,
% 40.60/27.09 (v166(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28755, 21170, 28752])).
% 40.60/27.09 tff(28757,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB173) | (~v166(constB173)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB173) | (~v166(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28758,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB173) | (~v166(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28759,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB173) | (~v166(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28758, 28757])).
% 40.60/27.09 tff(28760,plain,
% 40.60/27.09 (v165(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28759, 21181, 28756])).
% 40.60/27.09 tff(28761,plain,
% 40.60/27.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB173, bitIndex1)) | (~v139(constB173)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB173, bitIndex1)) | (~v139(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28762,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB173, bitIndex1)) | (~v139(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28763,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB173, bitIndex1)) | (~v139(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28762, 28761])).
% 40.60/27.09 tff(28764,plain,
% 40.60/27.09 (~v139(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28763, 21192, 28736])).
% 40.60/27.09 tff(28765,plain,
% 40.60/27.09 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> (v88(VarCurr, bitIndex0) | (~v140(VarCurr))))),
% 40.60/27.09 inference(bind,[status(th)],[])).
% 40.60/27.09 tff(28766,plain,
% 40.60/27.09 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 40.60/27.09 inference(quant_intro,[status(thm)],[28765])).
% 40.60/27.09 tff(28767,plain,
% 40.60/27.09 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28768,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 40.60/27.09 tff(28769,plain,
% 40.60/27.09 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 40.60/27.09 tff(28770,plain,(
% 40.60/27.09 ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 40.60/27.09 inference(skolemize,[status(sab)],[28769])).
% 40.60/27.09 tff(28771,plain,
% 40.60/27.09 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28770, 28766])).
% 40.60/27.09 tff(28772,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB173, bitIndex0) | (~v140(constB173)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB173, bitIndex0) | (~v140(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28773,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB173, bitIndex0) | (~v140(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28774,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB173, bitIndex0) | (~v140(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28773, 28772])).
% 40.60/27.09 tff(28775,plain,
% 40.60/27.09 (~v140(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28774, 28771, 28741])).
% 40.60/27.09 tff(28776,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB173) | v139(constB173) | (~v170(constB173)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB173) | v139(constB173) | (~v170(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28777,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB173) | v139(constB173) | (~v170(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28778,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB173) | v139(constB173) | (~v170(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28777, 28776])).
% 40.60/27.09 tff(28779,plain,
% 40.60/27.09 (~v170(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28778, 10647, 28775, 28764])).
% 40.60/27.09 tff(28780,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB173, bitIndex0) | (~v141(constB173)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB173, bitIndex0) | (~v141(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28781,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB173, bitIndex0) | (~v141(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28782,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB173, bitIndex0) | (~v141(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28781, 28780])).
% 40.60/27.09 tff(28783,plain,
% 40.60/27.09 (~v141(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28782, 22820, 28741])).
% 40.60/27.09 tff(28784,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB173) | v170(constB173) | (~v169(constB173)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB173) | v170(constB173) | (~v169(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28785,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB173) | v170(constB173) | (~v169(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28786,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB173) | v170(constB173) | (~v169(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28785, 28784])).
% 40.60/27.09 tff(28787,plain,
% 40.60/27.09 (v170(constB173) | (~v169(constB173))),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28786, 11040, 28783])).
% 40.60/27.09 tff(28788,plain,
% 40.60/27.09 (~v169(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28787, 28779])).
% 40.60/27.09 tff(28789,plain,
% 40.60/27.09 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB173)) | v169(constB173) | (~v165(constB173)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB173)) | v169(constB173) | (~v165(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28790,plain,
% 40.60/27.09 (((~v165(constB173)) | v169(constB173) | (~v162(constB173))) <=> ((~v162(constB173)) | v169(constB173) | (~v165(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28791,plain,
% 40.60/27.09 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB173)) | v169(constB173) | (~v162(constB173)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB173)) | v169(constB173) | (~v165(constB173))))),
% 40.60/27.09 inference(monotonicity,[status(thm)],[28790])).
% 40.60/27.09 tff(28792,plain,
% 40.60/27.09 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB173)) | v169(constB173) | (~v162(constB173)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB173)) | v169(constB173) | (~v165(constB173)))),
% 40.60/27.09 inference(transitivity,[status(thm)],[28791, 28789])).
% 40.60/27.09 tff(28793,plain,
% 40.60/27.09 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB173)) | v169(constB173) | (~v162(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28794,plain,
% 40.60/27.09 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB173)) | v169(constB173) | (~v165(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28793, 28792])).
% 40.60/27.09 tff(28795,plain,
% 40.60/27.09 ((~v162(constB173)) | (~v165(constB173))),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28794, 11073, 28788])).
% 40.60/27.09 tff(28796,plain,
% 40.60/27.09 (~v162(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28795, 28760])).
% 40.60/27.09 tff(28797,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB173) | (~v187(constB173)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB173) | (~v187(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28798,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB173) | (~v187(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28799,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB173) | (~v187(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28798, 28797])).
% 40.60/27.09 tff(28800,plain,
% 40.60/27.09 (~v187(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28799, 11087, 28796])).
% 40.60/27.09 tff(28801,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB173) | (~v185(constB173)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB173) | (~v185(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28802,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB173) | (~v185(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28803,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB173) | (~v185(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28802, 28801])).
% 40.60/27.09 tff(28804,plain,
% 40.60/27.09 (~v185(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28803, 11098, 28800])).
% 40.60/27.09 tff(28805,assumption,(v18(constB174)), introduced(assumption)).
% 40.60/27.09 tff(28806,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB174))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28807,plain,
% 40.60/27.09 ($false),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28806, 11110, 28805])).
% 40.60/27.09 tff(28808,plain,(~v18(constB174)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.09 tff(28809,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28810,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28811,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28810, 28809])).
% 40.60/27.09 tff(28812,plain,
% 40.60/27.09 (v22(constB174)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28811, 11120, 24042])).
% 40.60/27.09 tff(28813,plain,
% 40.60/27.09 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB174)) | (~v22(constB174)) | v18(constB174))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB174)) | (~v22(constB174)) | v18(constB174))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28814,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB174)) | (~v22(constB174)) | v18(constB174))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28815,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB174)) | (~v22(constB174)) | v18(constB174)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28814, 28813])).
% 40.60/27.09 tff(28816,plain,
% 40.60/27.09 ((~v19(constB174)) | v18(constB174)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28815, 11134, 28812])).
% 40.60/27.09 tff(28817,plain,
% 40.60/27.09 (~v19(constB174)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28816, 28808])).
% 40.60/27.09 tff(28818,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28819,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28820,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28819, 28818])).
% 40.60/27.09 tff(28821,plain,
% 40.60/27.09 (v13(constB174)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28820, 11149, 28817])).
% 40.60/27.09 tff(28822,plain,
% 40.60/27.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28823,plain,
% 40.60/27.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28824,plain,
% 40.60/27.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28823, 28822])).
% 40.60/27.09 tff(28825,plain,
% 40.60/27.09 ((~v13(constB174)) | v9(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28824, 11163, 24022])).
% 40.60/27.09 tff(28826,plain,
% 40.60/27.09 (v9(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28825, 28821])).
% 40.60/27.09 tff(28827,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v184(constB173))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB173) | (~v9(constB173)) | v184(constB173))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28828,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v184(constB173))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28829,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB173) | (~v9(constB173)) | v184(constB173)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28828, 28827])).
% 40.60/27.09 tff(28830,plain,
% 40.60/27.09 ((~v9(constB173)) | v184(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28829, 11178, 23809])).
% 40.60/27.09 tff(28831,plain,
% 40.60/27.09 (v184(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28830, 28826])).
% 40.60/27.09 tff(28832,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB173) | (~v184(constB173)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB173) | (~v184(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28833,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB173) | (~v184(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28834,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB173) | (~v184(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28833, 28832])).
% 40.60/27.09 tff(28835,plain,
% 40.60/27.09 (v183(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28834, 11190, 28831])).
% 40.60/27.09 tff(28836,plain,
% 40.60/27.09 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB173)) | (~v181(constB173)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB173)) | (~v181(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28837,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB173)) | (~v181(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28838,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB173)) | (~v181(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28837, 28836])).
% 40.60/27.09 tff(28839,plain,
% 40.60/27.09 (~v181(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28838, 11201, 28835])).
% 40.60/27.09 tff(28840,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB173) | v185(constB173) | (~v178(constB173)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB173) | v185(constB173) | (~v178(constB173)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28841,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB173) | v185(constB173) | (~v178(constB173)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28842,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB173) | v185(constB173) | (~v178(constB173))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28841, 28840])).
% 40.60/27.09 tff(28843,plain,
% 40.60/27.09 (v185(constB173) | (~v178(constB173))),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28842, 11215, 28839])).
% 40.60/27.09 tff(28844,plain,
% 40.60/27.09 (~v178(constB173)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28843, 28804])).
% 40.60/27.09 tff(28845,plain,
% 40.60/27.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB173, constB174)) | v178(constB173) | (~v180(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB173, constB174)) | v178(constB173) | (~v180(constB174)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28846,plain,
% 40.60/27.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB173, constB174)) | v178(constB173) | (~v180(constB174)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28847,plain,
% 40.60/27.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB173, constB174)) | v178(constB173) | (~v180(constB174))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28846, 28845])).
% 40.60/27.09 tff(28848,plain,
% 40.60/27.09 (v178(constB173) | (~v180(constB174))),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28847, 11230, 24022])).
% 40.60/27.09 tff(28849,plain,
% 40.60/27.09 (~v180(constB174)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28848, 28844])).
% 40.60/27.09 tff(28850,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB174) | (~v181(constB174)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB174) | (~v181(constB174)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28851,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB174) | (~v181(constB174)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28852,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB174) | (~v181(constB174))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28851, 28850])).
% 40.60/27.09 tff(28853,plain,
% 40.60/27.09 (~v181(constB174)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28852, 11242, 28849])).
% 40.60/27.09 tff(28854,plain,
% 40.60/27.09 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB174)) | (~v184(constB174)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB174)) | (~v184(constB174)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28855,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB174)) | (~v184(constB174)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28856,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB174)) | (~v184(constB174))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28855, 28854])).
% 40.60/27.09 tff(28857,plain,
% 40.60/27.09 (~v184(constB174)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28856, 11253, 24042])).
% 40.60/27.09 tff(28858,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB174) | (~v187(constB174)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB174) | (~v187(constB174)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28859,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB174) | (~v187(constB174)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28860,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB174) | (~v187(constB174))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28859, 28858])).
% 40.60/27.09 tff(28861,plain,
% 40.60/27.09 (~v187(constB174)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28860, 11264, 28857])).
% 40.60/27.09 tff(28862,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB174) | (~v185(constB174)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB174) | (~v185(constB174)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28863,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB174) | (~v185(constB174)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28864,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB174) | (~v185(constB174))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28863, 28862])).
% 40.60/27.09 tff(28865,plain,
% 40.60/27.09 (~v185(constB174)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28864, 11098, 28861])).
% 40.60/27.09 tff(28866,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB174) | v185(constB174) | (~v178(constB174)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB174) | v185(constB174) | (~v178(constB174)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28867,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB174) | v185(constB174) | (~v178(constB174)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28868,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB174) | v185(constB174) | (~v178(constB174))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28867, 28866])).
% 40.60/27.09 tff(28869,plain,
% 40.60/27.09 (v181(constB174) | (~v178(constB174))),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28868, 11215, 28865])).
% 40.60/27.09 tff(28870,plain,
% 40.60/27.09 (~v178(constB174)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28869, 28853])).
% 40.60/27.09 tff(28871,plain,
% 40.60/27.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB174, constB175)) | v178(constB174) | (~v180(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB174, constB175)) | v178(constB174) | (~v180(constB175)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28872,plain,
% 40.60/27.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB174, constB175)) | v178(constB174) | (~v180(constB175)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28873,plain,
% 40.60/27.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB174, constB175)) | v178(constB174) | (~v180(constB175))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28872, 28871])).
% 40.60/27.09 tff(28874,plain,
% 40.60/27.09 (v178(constB174) | (~v180(constB175))),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28873, 11230, 24084])).
% 40.60/27.09 tff(28875,plain,
% 40.60/27.09 (~v180(constB175)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28874, 28870])).
% 40.60/27.09 tff(28876,plain,
% 40.60/27.09 ($false),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28875, 28714])).
% 40.60/27.09 tff(28877,plain,((~(constB175 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.60/27.09 tff(28878,plain,
% 40.60/27.09 (~(constB175 = sK0_VarCurr)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28877, 10998])).
% 40.60/27.09 tff(28879,assumption,(constB13 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.09 tff(28880,plain,
% 40.60/27.09 (v180(constB13) <=> v180(sK0_VarCurr)),
% 40.60/27.09 inference(monotonicity,[status(thm)],[28879])).
% 40.60/27.09 tff(28881,plain,
% 40.60/27.09 (v180(sK0_VarCurr) <=> v180(constB13)),
% 40.60/27.09 inference(symmetry,[status(thm)],[28880])).
% 40.60/27.09 tff(28882,plain,
% 40.60/27.09 (v180(constB13)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[11002, 28881])).
% 40.60/27.09 tff(28883,assumption,(v18(constB10)), introduced(assumption)).
% 40.60/27.09 tff(28884,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB10))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28885,plain,
% 40.60/27.09 ($false),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28884, 11110, 28883])).
% 40.60/27.09 tff(28886,plain,(~v18(constB10)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.09 tff(28887,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28888,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28889,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28888, 28887])).
% 40.60/27.09 tff(28890,plain,
% 40.60/27.09 (v22(constB10)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28889, 11120, 1620])).
% 40.60/27.09 tff(28891,plain,
% 40.60/27.09 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB10)) | (~v22(constB10)) | v18(constB10))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB10)) | (~v22(constB10)) | v18(constB10))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28892,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB10)) | (~v22(constB10)) | v18(constB10))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28893,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB10)) | (~v22(constB10)) | v18(constB10)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28892, 28891])).
% 40.60/27.09 tff(28894,plain,
% 40.60/27.09 ((~v19(constB10)) | v18(constB10)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28893, 11134, 28890])).
% 40.60/27.09 tff(28895,plain,
% 40.60/27.09 (~v19(constB10)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28894, 28886])).
% 40.60/27.09 tff(28896,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28897,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28898,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28897, 28896])).
% 40.60/27.09 tff(28899,plain,
% 40.60/27.09 (v13(constB10)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28898, 11149, 28895])).
% 40.60/27.09 tff(28900,plain,
% 40.60/27.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28901,plain,
% 40.60/27.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28902,plain,
% 40.60/27.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28901, 28900])).
% 40.60/27.09 tff(28903,plain,
% 40.60/27.09 ((~v13(constB10)) | v9(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28902, 11163, 1600])).
% 40.60/27.09 tff(28904,plain,
% 40.60/27.09 (v9(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28903, 28899])).
% 40.60/27.09 tff(28905,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v184(constB9))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB9) | (~v9(constB9)) | v184(constB9))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28906,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v184(constB9))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28907,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB9) | (~v9(constB9)) | v184(constB9)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28906, 28905])).
% 40.60/27.09 tff(28908,plain,
% 40.60/27.09 ((~v9(constB9)) | v184(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28907, 11178, 1203])).
% 40.60/27.09 tff(28909,plain,
% 40.60/27.09 (v184(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28908, 28904])).
% 40.60/27.09 tff(28910,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB9) | (~v184(constB9)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB9) | (~v184(constB9)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28911,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB9) | (~v184(constB9)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28912,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB9) | (~v184(constB9))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28911, 28910])).
% 40.60/27.09 tff(28913,plain,
% 40.60/27.09 (v183(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28912, 11190, 28909])).
% 40.60/27.09 tff(28914,plain,
% 40.60/27.09 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB9)) | (~v181(constB9)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB9)) | (~v181(constB9)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28915,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB9)) | (~v181(constB9)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28916,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB9)) | (~v181(constB9))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28915, 28914])).
% 40.60/27.09 tff(28917,plain,
% 40.60/27.09 (~v181(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28916, 11201, 28913])).
% 40.60/27.09 tff(28918,plain,
% 40.60/27.09 (((~![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))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28919,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB9, bitIndex2)) | v88(constB9, bitIndex2))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28920,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB9, bitIndex2)) | v88(constB9, bitIndex2)),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28919, 28918])).
% 40.60/27.09 tff(28921,plain,
% 40.60/27.09 (v88(constB9, bitIndex2)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28920, 10566, 2127])).
% 40.60/27.09 tff(28922,plain,
% 40.60/27.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v139(constB9)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v139(constB9)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28923,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v139(constB9)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28924,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v139(constB9))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28923, 28922])).
% 40.60/27.09 tff(28925,plain,
% 40.60/27.09 (~v139(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28924, 10904, 28921])).
% 40.60/27.09 tff(28926,plain,
% 40.60/27.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v140(constB9)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v140(constB9)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28927,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v140(constB9)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28928,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v140(constB9))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28927, 28926])).
% 40.60/27.09 tff(28929,plain,
% 40.60/27.09 (~v140(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28928, 10577, 28921])).
% 40.60/27.09 tff(28930,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v170(constB9)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB9) | v139(constB9) | (~v170(constB9)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28931,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v170(constB9)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28932,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB9) | v139(constB9) | (~v170(constB9))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28931, 28930])).
% 40.60/27.09 tff(28933,plain,
% 40.60/27.09 (~v170(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28932, 10647, 28929, 28925])).
% 40.60/27.09 tff(28934,plain,
% 40.60/27.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v141(constB9)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v141(constB9)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28935,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v141(constB9)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28936,plain,
% 40.60/27.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v141(constB9))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28935, 28934])).
% 40.60/27.09 tff(28937,plain,
% 40.60/27.09 (~v141(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28936, 10658, 28921])).
% 40.60/27.09 tff(28938,plain,
% 40.60/27.09 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB9) | v170(constB9) | (~v169(constB9)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB9) | v170(constB9) | (~v169(constB9)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28939,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB9) | v170(constB9) | (~v169(constB9)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28940,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB9) | v170(constB9) | (~v169(constB9))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28939, 28938])).
% 40.60/27.09 tff(28941,plain,
% 40.60/27.09 (v170(constB9) | (~v169(constB9))),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28940, 11040, 28937])).
% 40.60/27.09 tff(28942,plain,
% 40.60/27.09 (~v169(constB9)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28941, 28933])).
% 40.60/27.09 tff(28943,plain,
% 40.60/27.09 (((~![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)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28944,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB9, bitIndex1) | (~v88(constB9, bitIndex1)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28945,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB9, bitIndex1) | (~v88(constB9, bitIndex1))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28944, 28943])).
% 40.60/27.09 tff(28946,plain,
% 40.60/27.09 (~v88(constB9, bitIndex1)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28945, 10784, 2147])).
% 40.60/27.09 tff(28947,plain,
% 40.60/27.09 (((~![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)))),
% 40.60/27.09 inference(rewrite,[status(thm)],[])).
% 40.60/27.09 tff(28948,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0)))),
% 40.60/27.09 inference(quant_inst,[status(thm)],[])).
% 40.60/27.09 tff(28949,plain,
% 40.60/27.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0))),
% 40.60/27.09 inference(modus_ponens,[status(thm)],[28948, 28947])).
% 40.60/27.09 tff(28950,plain,
% 40.60/27.09 (~v88(constB9, bitIndex0)),
% 40.60/27.09 inference(unit_resolution,[status(thm)],[28949, 14645, 2154])).
% 40.60/27.10 tff(28951,plain,
% 40.60/27.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB9, bitIndex0) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v146(constB9))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB9, bitIndex0) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v146(constB9))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28952,plain,
% 40.60/27.10 (((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0) | v146(constB9)) <=> (v88(constB9, bitIndex0) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v146(constB9))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28953,plain,
% 40.60/27.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0) | v146(constB9))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (v88(constB9, bitIndex0) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v146(constB9)))),
% 40.60/27.10 inference(monotonicity,[status(thm)],[28952])).
% 40.60/27.10 tff(28954,plain,
% 40.60/27.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0) | v146(constB9))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB9, bitIndex0) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v146(constB9))),
% 40.60/27.10 inference(transitivity,[status(thm)],[28953, 28951])).
% 40.60/27.10 tff(28955,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0) | v146(constB9))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(28956,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | v88(constB9, bitIndex0) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v146(constB9)),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[28955, 28954])).
% 40.60/27.10 tff(28957,plain,
% 40.60/27.10 (v146(constB9)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28956, 14659, 28921, 28950, 28946])).
% 40.60/27.10 tff(28958,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB9) | (~v146(constB9)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB9) | (~v146(constB9)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28959,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB9) | (~v146(constB9)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(28960,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB9) | (~v146(constB9))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[28959, 28958])).
% 40.60/27.10 tff(28961,plain,
% 40.60/27.10 (v145(constB9)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28960, 14673, 28957])).
% 40.60/27.10 tff(28962,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB9) | (~v145(constB9)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB9) | (~v145(constB9)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28963,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB9) | (~v145(constB9)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(28964,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB9) | (~v145(constB9))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[28963, 28962])).
% 40.60/27.10 tff(28965,plain,
% 40.60/27.10 (v165(constB9)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28964, 10823, 28961])).
% 40.60/27.10 tff(28966,plain,
% 40.60/27.10 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB9)) | v169(constB9) | (~v165(constB9)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB9)) | v169(constB9) | (~v165(constB9)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28967,plain,
% 40.60/27.10 (((~v165(constB9)) | v169(constB9) | (~v162(constB9))) <=> ((~v162(constB9)) | v169(constB9) | (~v165(constB9)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28968,plain,
% 40.60/27.10 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB9)) | v169(constB9) | (~v162(constB9)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB9)) | v169(constB9) | (~v165(constB9))))),
% 40.60/27.10 inference(monotonicity,[status(thm)],[28967])).
% 40.60/27.10 tff(28969,plain,
% 40.60/27.10 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB9)) | v169(constB9) | (~v162(constB9)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB9)) | v169(constB9) | (~v165(constB9)))),
% 40.60/27.10 inference(transitivity,[status(thm)],[28968, 28966])).
% 40.60/27.10 tff(28970,plain,
% 40.60/27.10 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB9)) | v169(constB9) | (~v162(constB9)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(28971,plain,
% 40.60/27.10 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB9)) | v169(constB9) | (~v165(constB9))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[28970, 28969])).
% 40.60/27.10 tff(28972,plain,
% 40.60/27.10 (~v162(constB9)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28971, 11073, 28965, 28942])).
% 40.60/27.10 tff(28973,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB9) | (~v187(constB9)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB9) | (~v187(constB9)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28974,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB9) | (~v187(constB9)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(28975,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB9) | (~v187(constB9))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[28974, 28973])).
% 40.60/27.10 tff(28976,plain,
% 40.60/27.10 (~v187(constB9)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28975, 11087, 28972])).
% 40.60/27.10 tff(28977,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB9) | (~v185(constB9)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB9) | (~v185(constB9)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28978,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB9) | (~v185(constB9)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(28979,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB9) | (~v185(constB9))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[28978, 28977])).
% 40.60/27.10 tff(28980,plain,
% 40.60/27.10 (~v185(constB9)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28979, 11098, 28976])).
% 40.60/27.10 tff(28981,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB9) | v185(constB9) | (~v178(constB9)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB9) | v185(constB9) | (~v178(constB9)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28982,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB9) | v185(constB9) | (~v178(constB9)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(28983,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB9) | v185(constB9) | (~v178(constB9))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[28982, 28981])).
% 40.60/27.10 tff(28984,plain,
% 40.60/27.10 (v181(constB9) | (~v178(constB9))),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28983, 11215, 28980])).
% 40.60/27.10 tff(28985,plain,
% 40.60/27.10 (~v178(constB9)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28984, 28917])).
% 40.60/27.10 tff(28986,plain,
% 40.60/27.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28987,plain,
% 40.60/27.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(28988,plain,
% 40.60/27.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 40.60/27.10 tff(28989,plain,
% 40.60/27.10 (v178(constB9) | (~v180(constB10))),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28988, 11230, 1600])).
% 40.60/27.10 tff(28990,plain,
% 40.60/27.10 (~v180(constB10)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28989, 28985])).
% 40.60/27.10 tff(28991,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB10) | (~v181(constB10)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB10) | (~v181(constB10)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28992,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB10) | (~v181(constB10)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(28993,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB10) | (~v181(constB10))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[28992, 28991])).
% 40.60/27.10 tff(28994,plain,
% 40.60/27.10 (~v181(constB10)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28993, 11242, 28990])).
% 40.60/27.10 tff(28995,plain,
% 40.60/27.10 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB10)) | (~v184(constB10)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB10)) | (~v184(constB10)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(28996,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB10)) | (~v184(constB10)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(28997,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB10)) | (~v184(constB10))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[28996, 28995])).
% 40.60/27.10 tff(28998,plain,
% 40.60/27.10 (~v184(constB10)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[28997, 11253, 1620])).
% 40.60/27.10 tff(28999,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB10) | (~v187(constB10)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB10) | (~v187(constB10)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29000,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB10) | (~v187(constB10)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29001,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB10) | (~v187(constB10))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29000, 28999])).
% 40.60/27.10 tff(29002,plain,
% 40.60/27.10 (~v187(constB10)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29001, 11264, 28998])).
% 40.60/27.10 tff(29003,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB10) | (~v185(constB10)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB10) | (~v185(constB10)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29004,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB10) | (~v185(constB10)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29005,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB10) | (~v185(constB10))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29004, 29003])).
% 40.60/27.10 tff(29006,plain,
% 40.60/27.10 (~v185(constB10)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29005, 11098, 29002])).
% 40.60/27.10 tff(29007,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB10) | v185(constB10) | (~v178(constB10)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB10) | v185(constB10) | (~v178(constB10)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29008,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB10) | v185(constB10) | (~v178(constB10)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29009,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB10) | v185(constB10) | (~v178(constB10))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29008, 29007])).
% 40.60/27.10 tff(29010,plain,
% 40.60/27.10 (v181(constB10) | (~v178(constB10))),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29009, 11215, 29006])).
% 40.60/27.10 tff(29011,plain,
% 40.60/27.10 (~v178(constB10)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29010, 28994])).
% 40.60/27.10 tff(29012,plain,
% 40.60/27.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29013,plain,
% 40.60/27.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29014,plain,
% 40.60/27.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29013, 29012])).
% 40.60/27.10 tff(29015,plain,
% 40.60/27.10 (v178(constB10) | (~v180(constB11))),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29014, 11230, 2193])).
% 40.60/27.10 tff(29016,plain,
% 40.60/27.10 (~v180(constB11)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29015, 29011])).
% 40.60/27.10 tff(29017,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB11) | (~v181(constB11)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB11) | (~v181(constB11)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29018,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB11) | (~v181(constB11)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29019,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB11) | (~v181(constB11))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29018, 29017])).
% 40.60/27.10 tff(29020,plain,
% 40.60/27.10 (~v181(constB11)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29019, 11242, 29016])).
% 40.60/27.10 tff(29021,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB11) | v170(constB11) | (~v169(constB11)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB11) | v170(constB11) | (~v169(constB11)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29022,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB11) | v170(constB11) | (~v169(constB11)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29023,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB11) | v170(constB11) | (~v169(constB11))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29022, 29021])).
% 40.60/27.10 tff(29024,plain,
% 40.60/27.10 (~v169(constB11)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29023, 11040, 15143, 15139])).
% 40.60/27.10 tff(29025,plain,
% 40.60/27.10 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB11)) | v169(constB11) | (~v165(constB11)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB11)) | v169(constB11) | (~v165(constB11)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29026,plain,
% 40.60/27.10 (((~v165(constB11)) | v169(constB11) | (~v162(constB11))) <=> ((~v162(constB11)) | v169(constB11) | (~v165(constB11)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29027,plain,
% 40.60/27.10 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB11)) | v169(constB11) | (~v162(constB11)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB11)) | v169(constB11) | (~v165(constB11))))),
% 40.60/27.10 inference(monotonicity,[status(thm)],[29026])).
% 40.60/27.10 tff(29028,plain,
% 40.60/27.10 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB11)) | v169(constB11) | (~v162(constB11)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB11)) | v169(constB11) | (~v165(constB11)))),
% 40.60/27.10 inference(transitivity,[status(thm)],[29027, 29025])).
% 40.60/27.10 tff(29029,plain,
% 40.60/27.10 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB11)) | v169(constB11) | (~v162(constB11)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29030,plain,
% 40.60/27.10 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB11)) | v169(constB11) | (~v165(constB11))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29029, 29028])).
% 40.60/27.10 tff(29031,plain,
% 40.60/27.10 (~v162(constB11)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29030, 11073, 15192, 29024])).
% 40.60/27.10 tff(29032,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB11) | (~v187(constB11)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB11) | (~v187(constB11)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29033,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB11) | (~v187(constB11)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29034,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB11) | (~v187(constB11))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29033, 29032])).
% 40.60/27.10 tff(29035,plain,
% 40.60/27.10 (~v187(constB11)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29034, 11087, 29031])).
% 40.60/27.10 tff(29036,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB11) | (~v185(constB11)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB11) | (~v185(constB11)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29037,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB11) | (~v185(constB11)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29038,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB11) | (~v185(constB11))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29037, 29036])).
% 40.60/27.10 tff(29039,plain,
% 40.60/27.10 (~v185(constB11)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29038, 11098, 29035])).
% 40.60/27.10 tff(29040,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB11) | v185(constB11) | (~v178(constB11)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB11) | v185(constB11) | (~v178(constB11)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29041,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB11) | v185(constB11) | (~v178(constB11)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29042,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB11) | v185(constB11) | (~v178(constB11))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29041, 29040])).
% 40.60/27.10 tff(29043,plain,
% 40.60/27.10 (v181(constB11) | (~v178(constB11))),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29042, 11215, 29039])).
% 40.60/27.10 tff(29044,plain,
% 40.60/27.10 (~v178(constB11)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29043, 29020])).
% 40.60/27.10 tff(29045,plain,
% 40.60/27.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29046,plain,
% 40.60/27.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29047,plain,
% 40.60/27.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29046, 29045])).
% 40.60/27.10 tff(29048,plain,
% 40.60/27.10 (v178(constB11) | (~v180(constB12))),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29047, 11230, 2315])).
% 40.60/27.10 tff(29049,plain,
% 40.60/27.10 (~v180(constB12)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29048, 29044])).
% 40.60/27.10 tff(29050,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB12) | (~v181(constB12)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB12) | (~v181(constB12)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29051,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB12) | (~v181(constB12)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29052,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB12) | (~v181(constB12))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29051, 29050])).
% 40.60/27.10 tff(29053,plain,
% 40.60/27.10 (~v181(constB12)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29052, 11242, 29049])).
% 40.60/27.10 tff(29054,plain,
% 40.60/27.10 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB12)) | (~v184(constB12)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB12)) | (~v184(constB12)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29055,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB12)) | (~v184(constB12)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29056,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB12)) | (~v184(constB12))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29055, 29054])).
% 40.60/27.10 tff(29057,plain,
% 40.60/27.10 (~v184(constB12)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29056, 11253, 2382])).
% 40.60/27.10 tff(29058,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB12) | (~v187(constB12)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB12) | (~v187(constB12)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29059,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB12) | (~v187(constB12)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29060,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB12) | (~v187(constB12))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29059, 29058])).
% 40.60/27.10 tff(29061,plain,
% 40.60/27.10 (~v187(constB12)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29060, 11264, 29057])).
% 40.60/27.10 tff(29062,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB12) | (~v185(constB12)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB12) | (~v185(constB12)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29063,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB12) | (~v185(constB12)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29064,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB12) | (~v185(constB12))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29063, 29062])).
% 40.60/27.10 tff(29065,plain,
% 40.60/27.10 (~v185(constB12)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29064, 11098, 29061])).
% 40.60/27.10 tff(29066,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB12) | v185(constB12) | (~v178(constB12)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB12) | v185(constB12) | (~v178(constB12)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29067,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB12) | v185(constB12) | (~v178(constB12)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29068,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB12) | v185(constB12) | (~v178(constB12))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29067, 29066])).
% 40.60/27.10 tff(29069,plain,
% 40.60/27.10 (v181(constB12) | (~v178(constB12))),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29068, 11215, 29065])).
% 40.60/27.10 tff(29070,plain,
% 40.60/27.10 (~v178(constB12)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29069, 29053])).
% 40.60/27.10 tff(29071,plain,
% 40.60/27.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29072,plain,
% 40.60/27.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29073,plain,
% 40.60/27.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29072, 29071])).
% 40.60/27.10 tff(29074,plain,
% 40.60/27.10 (v178(constB12) | (~v180(constB13))),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29073, 11230, 2431])).
% 40.60/27.10 tff(29075,plain,
% 40.60/27.10 (~v180(constB13)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29074, 29070])).
% 40.60/27.10 tff(29076,plain,
% 40.60/27.10 ($false),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29075, 28882])).
% 40.60/27.10 tff(29077,plain,((~(constB13 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.60/27.10 tff(29078,plain,
% 40.60/27.10 (~(constB13 = sK0_VarCurr)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29077, 10998])).
% 40.60/27.10 tff(29079,assumption,(constB144 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.10 tff(29080,plain,
% 40.60/27.10 (v1(constB144) <=> v1(sK0_VarCurr)),
% 40.60/27.10 inference(monotonicity,[status(thm)],[29079])).
% 40.60/27.10 tff(29081,plain,
% 40.60/27.10 (v1(sK0_VarCurr) <=> v1(constB144)),
% 40.60/27.10 inference(symmetry,[status(thm)],[29080])).
% 40.60/27.10 tff(29082,plain,
% 40.60/27.10 ((~v1(sK0_VarCurr)) <=> (~v1(constB144))),
% 40.60/27.10 inference(monotonicity,[status(thm)],[29081])).
% 40.60/27.10 tff(29083,plain,
% 40.60/27.10 (~v1(constB144)),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[21332, 29082])).
% 40.60/27.10 tff(29084,plain,
% 40.60/27.10 ($false),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[18896, 29083])).
% 40.60/27.10 tff(29085,plain,((~(constB144 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.10 tff(29086,plain,
% 40.60/27.10 (~(constB144 = sK0_VarCurr)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29085, 21327])).
% 40.60/27.10 tff(29087,assumption,(constB127 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.10 tff(29088,plain,
% 40.60/27.10 (v180(constB127) <=> v180(sK0_VarCurr)),
% 40.60/27.10 inference(monotonicity,[status(thm)],[29087])).
% 40.60/27.10 tff(29089,plain,
% 40.60/27.10 (v180(sK0_VarCurr) <=> v180(constB127)),
% 40.60/27.10 inference(symmetry,[status(thm)],[29088])).
% 40.60/27.10 tff(29090,plain,
% 40.60/27.10 (v180(constB127)),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[11002, 29089])).
% 40.60/27.10 tff(29091,plain,
% 40.60/27.10 (((~![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)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29092,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB125, bitIndex2) | (~v88(constB125, bitIndex2)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29093,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB125, bitIndex2) | (~v88(constB125, bitIndex2))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29092, 29091])).
% 40.60/27.10 tff(29094,plain,
% 40.60/27.10 (~v88(constB125, bitIndex2)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29093, 22090, 16181])).
% 40.60/27.10 tff(29095,plain,
% 40.60/27.10 (((~![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)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29096,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29097,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29096, 29095])).
% 40.60/27.10 tff(29098,plain,
% 40.60/27.10 (~v88(constB125, bitIndex0)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29097, 14645, 16246])).
% 40.60/27.10 tff(29099,plain,
% 40.60/27.10 (((~![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))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29100,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29101,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1)),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29100, 29099])).
% 40.60/27.10 tff(29102,plain,
% 40.60/27.10 (v88(constB125, bitIndex1)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29101, 21131, 16212])).
% 40.60/27.10 tff(29103,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29104,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29105,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v143(constB125)),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29104, 29103])).
% 40.60/27.10 tff(29106,plain,
% 40.60/27.10 (v143(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29105, 22766, 29102, 29098, 29094])).
% 40.60/27.10 tff(29107,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB125) | (~v143(constB125)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB125) | (~v143(constB125)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29108,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB125) | (~v143(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29109,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB125) | (~v143(constB125))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29108, 29107])).
% 40.60/27.10 tff(29110,plain,
% 40.60/27.10 (v142(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29109, 22780, 29106])).
% 40.60/27.10 tff(29111,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB125) | (~v142(constB125)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29112,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB125) | (~v142(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29113,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB125) | (~v142(constB125))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29112, 29111])).
% 40.60/27.10 tff(29114,plain,
% 40.60/27.10 (v166(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29113, 21170, 29110])).
% 40.60/27.10 tff(29115,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB125) | (~v166(constB125)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB125) | (~v166(constB125)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29116,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB125) | (~v166(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29117,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB125) | (~v166(constB125))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29116, 29115])).
% 40.60/27.10 tff(29118,plain,
% 40.60/27.10 (v165(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29117, 21181, 29114])).
% 40.60/27.10 tff(29119,plain,
% 40.60/27.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB125, bitIndex1)) | (~v139(constB125)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB125, bitIndex1)) | (~v139(constB125)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29120,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB125, bitIndex1)) | (~v139(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29121,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB125, bitIndex1)) | (~v139(constB125))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29120, 29119])).
% 40.60/27.10 tff(29122,plain,
% 40.60/27.10 (~v139(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29121, 21192, 29102])).
% 40.60/27.10 tff(29123,plain,
% 40.60/27.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB125, bitIndex1)) | (~v140(constB125)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB125, bitIndex1)) | (~v140(constB125)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29124,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB125, bitIndex1)) | (~v140(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29125,plain,
% 40.60/27.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB125, bitIndex1)) | (~v140(constB125))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29124, 29123])).
% 40.60/27.10 tff(29126,plain,
% 40.60/27.10 (~v140(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29125, 21203, 29102])).
% 40.60/27.10 tff(29127,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v170(constB125)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB125) | v139(constB125) | (~v170(constB125)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29128,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v170(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29129,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB125) | v139(constB125) | (~v170(constB125))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29128, 29127])).
% 40.60/27.10 tff(29130,plain,
% 40.60/27.10 (~v170(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29129, 10647, 29126, 29122])).
% 40.60/27.10 tff(29131,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB125, bitIndex0) | (~v141(constB125)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB125, bitIndex0) | (~v141(constB125)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29132,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB125, bitIndex0) | (~v141(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29133,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB125, bitIndex0) | (~v141(constB125))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29132, 29131])).
% 40.60/27.10 tff(29134,plain,
% 40.60/27.10 (~v141(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29133, 22820, 29098])).
% 40.60/27.10 tff(29135,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB125) | v170(constB125) | (~v169(constB125)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB125) | v170(constB125) | (~v169(constB125)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29136,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB125) | v170(constB125) | (~v169(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29137,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB125) | v170(constB125) | (~v169(constB125))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29136, 29135])).
% 40.60/27.10 tff(29138,plain,
% 40.60/27.10 (~v169(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29137, 11040, 29134, 29130])).
% 40.60/27.10 tff(29139,plain,
% 40.60/27.10 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB125)) | (~v165(constB125)) | v169(constB125))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB125)) | (~v165(constB125)) | v169(constB125))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29140,plain,
% 40.60/27.10 (((~v165(constB125)) | v169(constB125) | (~v162(constB125))) <=> ((~v162(constB125)) | (~v165(constB125)) | v169(constB125))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29141,plain,
% 40.60/27.10 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB125)) | v169(constB125) | (~v162(constB125)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB125)) | (~v165(constB125)) | v169(constB125)))),
% 40.60/27.10 inference(monotonicity,[status(thm)],[29140])).
% 40.60/27.10 tff(29142,plain,
% 40.60/27.10 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB125)) | v169(constB125) | (~v162(constB125)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB125)) | (~v165(constB125)) | v169(constB125))),
% 40.60/27.10 inference(transitivity,[status(thm)],[29141, 29139])).
% 40.60/27.10 tff(29143,plain,
% 40.60/27.10 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB125)) | v169(constB125) | (~v162(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29144,plain,
% 40.60/27.10 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB125)) | (~v165(constB125)) | v169(constB125)),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29143, 29142])).
% 40.60/27.10 tff(29145,plain,
% 40.60/27.10 ((~v162(constB125)) | (~v165(constB125))),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29144, 11073, 29138])).
% 40.60/27.10 tff(29146,plain,
% 40.60/27.10 (~v162(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29145, 29118])).
% 40.60/27.10 tff(29147,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB125) | (~v187(constB125)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB125) | (~v187(constB125)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29148,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB125) | (~v187(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29149,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB125) | (~v187(constB125))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29148, 29147])).
% 40.60/27.10 tff(29150,plain,
% 40.60/27.10 (~v187(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29149, 11087, 29146])).
% 40.60/27.10 tff(29151,plain,
% 40.60/27.10 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB125) | (~v185(constB125)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB125) | (~v185(constB125)))),
% 40.60/27.10 inference(rewrite,[status(thm)],[])).
% 40.60/27.10 tff(29152,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB125) | (~v185(constB125)))),
% 40.60/27.10 inference(quant_inst,[status(thm)],[])).
% 40.60/27.10 tff(29153,plain,
% 40.60/27.10 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB125) | (~v185(constB125))),
% 40.60/27.10 inference(modus_ponens,[status(thm)],[29152, 29151])).
% 40.60/27.10 tff(29154,plain,
% 40.60/27.10 (~v185(constB125)),
% 40.60/27.10 inference(unit_resolution,[status(thm)],[29153, 11098, 29150])).
% 40.60/27.10 tff(29155,assumption,(v18(constB126)), introduced(assumption)).
% 40.60/27.11 tff(29156,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB126))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29157,plain,
% 40.60/27.11 ($false),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29156, 11110, 29155])).
% 40.60/27.11 tff(29158,plain,(~v18(constB126)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.11 tff(29159,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29160,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29161,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29160, 29159])).
% 40.60/27.11 tff(29162,plain,
% 40.60/27.11 (v22(constB126)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29161, 11120, 16288])).
% 40.60/27.11 tff(29163,plain,
% 40.60/27.11 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB126)) | (~v22(constB126)) | v18(constB126))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB126)) | (~v22(constB126)) | v18(constB126))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29164,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB126)) | (~v22(constB126)) | v18(constB126))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29165,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB126)) | (~v22(constB126)) | v18(constB126)),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29164, 29163])).
% 40.60/27.11 tff(29166,plain,
% 40.60/27.11 ((~v19(constB126)) | v18(constB126)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29165, 11134, 29162])).
% 40.60/27.11 tff(29167,plain,
% 40.60/27.11 (~v19(constB126)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29166, 29158])).
% 40.60/27.11 tff(29168,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB126) | v19(constB126))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29169,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29170,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB126) | v19(constB126)),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29169, 29168])).
% 40.60/27.11 tff(29171,plain,
% 40.60/27.11 (v13(constB126)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29170, 11149, 29167])).
% 40.60/27.11 tff(29172,plain,
% 40.60/27.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29173,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29174,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125)),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29173, 29172])).
% 40.60/27.11 tff(29175,plain,
% 40.60/27.11 ((~v13(constB126)) | v9(constB125)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29174, 11163, 16266])).
% 40.60/27.11 tff(29176,plain,
% 40.60/27.11 (v9(constB125)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29175, 29171])).
% 40.60/27.11 tff(29177,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB125) | (~v9(constB125)) | v184(constB125))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB125) | (~v9(constB125)) | v184(constB125))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29178,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB125) | (~v9(constB125)) | v184(constB125))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29179,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB125) | (~v9(constB125)) | v184(constB125)),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29178, 29177])).
% 40.60/27.11 tff(29180,plain,
% 40.60/27.11 ((~v9(constB125)) | v184(constB125)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29179, 11178, 16157])).
% 40.60/27.11 tff(29181,plain,
% 40.60/27.11 (v184(constB125)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29180, 29176])).
% 40.60/27.11 tff(29182,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB125) | (~v184(constB125)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB125) | (~v184(constB125)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29183,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB125) | (~v184(constB125)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29184,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB125) | (~v184(constB125))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29183, 29182])).
% 40.60/27.11 tff(29185,plain,
% 40.60/27.11 (v183(constB125)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29184, 11190, 29181])).
% 40.60/27.11 tff(29186,plain,
% 40.60/27.11 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB125)) | (~v181(constB125)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB125)) | (~v181(constB125)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29187,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB125)) | (~v181(constB125)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29188,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB125)) | (~v181(constB125))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29187, 29186])).
% 40.60/27.11 tff(29189,plain,
% 40.60/27.11 (~v181(constB125)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29188, 11201, 29185])).
% 40.60/27.11 tff(29190,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB125) | v185(constB125) | (~v178(constB125)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB125) | v185(constB125) | (~v178(constB125)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29191,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB125) | v185(constB125) | (~v178(constB125)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29192,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB125) | v185(constB125) | (~v178(constB125))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29191, 29190])).
% 40.60/27.11 tff(29193,plain,
% 40.60/27.11 (v185(constB125) | (~v178(constB125))),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29192, 11215, 29189])).
% 40.60/27.11 tff(29194,plain,
% 40.60/27.11 (~v178(constB125)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29193, 29154])).
% 40.60/27.11 tff(29195,plain,
% 40.60/27.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB125, constB126)) | v178(constB125) | (~v180(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB125, constB126)) | v178(constB125) | (~v180(constB126)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29196,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB125, constB126)) | v178(constB125) | (~v180(constB126)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29197,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB125, constB126)) | v178(constB125) | (~v180(constB126))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29196, 29195])).
% 40.60/27.11 tff(29198,plain,
% 40.60/27.11 (v178(constB125) | (~v180(constB126))),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29197, 11230, 16266])).
% 40.60/27.11 tff(29199,plain,
% 40.60/27.11 (~v180(constB126)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29198, 29194])).
% 40.60/27.11 tff(29200,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB126) | (~v181(constB126)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB126) | (~v181(constB126)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29201,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB126) | (~v181(constB126)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29202,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB126) | (~v181(constB126))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 40.60/27.11 tff(29203,plain,
% 40.60/27.11 (~v181(constB126)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29202, 11242, 29199])).
% 40.60/27.11 tff(29204,plain,
% 40.60/27.11 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB126)) | (~v184(constB126)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB126)) | (~v184(constB126)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29205,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB126)) | (~v184(constB126)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29206,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB126)) | (~v184(constB126))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29205, 29204])).
% 40.60/27.11 tff(29207,plain,
% 40.60/27.11 (~v184(constB126)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29206, 11253, 16288])).
% 40.60/27.11 tff(29208,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB126) | (~v187(constB126)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB126) | (~v187(constB126)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29209,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB126) | (~v187(constB126)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29210,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB126) | (~v187(constB126))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29209, 29208])).
% 40.60/27.11 tff(29211,plain,
% 40.60/27.11 (~v187(constB126)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29210, 11264, 29207])).
% 40.60/27.11 tff(29212,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB126) | (~v185(constB126)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB126) | (~v185(constB126)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29213,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB126) | (~v185(constB126)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29214,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB126) | (~v185(constB126))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29213, 29212])).
% 40.60/27.11 tff(29215,plain,
% 40.60/27.11 (~v185(constB126)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29214, 11098, 29211])).
% 40.60/27.11 tff(29216,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB126) | v185(constB126) | (~v178(constB126)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB126) | v185(constB126) | (~v178(constB126)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29217,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB126) | v185(constB126) | (~v178(constB126)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29218,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB126) | v185(constB126) | (~v178(constB126))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29217, 29216])).
% 40.60/27.11 tff(29219,plain,
% 40.60/27.11 (v181(constB126) | (~v178(constB126))),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29218, 11215, 29215])).
% 40.60/27.11 tff(29220,plain,
% 40.60/27.11 (~v178(constB126)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29219, 29203])).
% 40.60/27.11 tff(29221,plain,
% 40.60/27.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB126, constB127)) | v178(constB126) | (~v180(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB126, constB127)) | v178(constB126) | (~v180(constB127)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29222,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB126, constB127)) | v178(constB126) | (~v180(constB127)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29223,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB126, constB127)) | v178(constB126) | (~v180(constB127))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29222, 29221])).
% 40.60/27.11 tff(29224,plain,
% 40.60/27.11 (v178(constB126) | (~v180(constB127))),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29223, 11230, 16581])).
% 40.60/27.11 tff(29225,plain,
% 40.60/27.11 (~v180(constB127)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29224, 29220])).
% 40.60/27.11 tff(29226,plain,
% 40.60/27.11 ($false),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29225, 29090])).
% 40.60/27.11 tff(29227,plain,((~(constB127 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.60/27.11 tff(29228,plain,
% 40.60/27.11 (~(constB127 = sK0_VarCurr)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29227, 10998])).
% 40.60/27.11 tff(29229,assumption,(constB109 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.11 tff(29230,plain,
% 40.60/27.11 (v180(constB109) <=> v180(sK0_VarCurr)),
% 40.60/27.11 inference(monotonicity,[status(thm)],[29229])).
% 40.60/27.11 tff(29231,plain,
% 40.60/27.11 (v180(sK0_VarCurr) <=> v180(constB109)),
% 40.60/27.11 inference(symmetry,[status(thm)],[29230])).
% 40.60/27.11 tff(29232,plain,
% 40.60/27.11 (v180(constB109)),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[11002, 29231])).
% 40.60/27.11 tff(29233,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB107) | v170(constB107) | (~v169(constB107)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB107) | v170(constB107) | (~v169(constB107)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29234,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB107) | v170(constB107) | (~v169(constB107)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29235,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB107) | v170(constB107) | (~v169(constB107))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29234, 29233])).
% 40.60/27.11 tff(29236,plain,
% 40.60/27.11 (~v169(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29235, 11040, 14814, 14810])).
% 40.60/27.11 tff(29237,plain,
% 40.60/27.11 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB107)) | v169(constB107) | (~v165(constB107)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB107)) | v169(constB107) | (~v165(constB107)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29238,plain,
% 40.60/27.11 (((~v165(constB107)) | v169(constB107) | (~v162(constB107))) <=> ((~v162(constB107)) | v169(constB107) | (~v165(constB107)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29239,plain,
% 40.60/27.11 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB107)) | v169(constB107) | (~v162(constB107)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB107)) | v169(constB107) | (~v165(constB107))))),
% 40.60/27.11 inference(monotonicity,[status(thm)],[29238])).
% 40.60/27.11 tff(29240,plain,
% 40.60/27.11 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB107)) | v169(constB107) | (~v162(constB107)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB107)) | v169(constB107) | (~v165(constB107)))),
% 40.60/27.11 inference(transitivity,[status(thm)],[29239, 29237])).
% 40.60/27.11 tff(29241,plain,
% 40.60/27.11 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB107)) | v169(constB107) | (~v162(constB107)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29242,plain,
% 40.60/27.11 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB107)) | v169(constB107) | (~v165(constB107))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29241, 29240])).
% 40.60/27.11 tff(29243,plain,
% 40.60/27.11 (~v162(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29242, 11073, 14863, 29236])).
% 40.60/27.11 tff(29244,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB107) | (~v187(constB107)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB107) | (~v187(constB107)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29245,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB107) | (~v187(constB107)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29246,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB107) | (~v187(constB107))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29245, 29244])).
% 40.60/27.11 tff(29247,plain,
% 40.60/27.11 (~v187(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29246, 11087, 29243])).
% 40.60/27.11 tff(29248,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB107) | (~v185(constB107)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB107) | (~v185(constB107)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29249,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB107) | (~v185(constB107)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29250,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB107) | (~v185(constB107))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29249, 29248])).
% 40.60/27.11 tff(29251,plain,
% 40.60/27.11 (~v185(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29250, 11098, 29247])).
% 40.60/27.11 tff(29252,assumption,(v18(constB108)), introduced(assumption)).
% 40.60/27.11 tff(29253,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB108))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29254,plain,
% 40.60/27.11 ($false),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29253, 11110, 29252])).
% 40.60/27.11 tff(29255,plain,(~v18(constB108)), inference(lemma,lemma(discharge,[]))).
% 40.60/27.11 tff(29256,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29257,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29258,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29257, 29256])).
% 40.60/27.11 tff(29259,plain,
% 40.60/27.11 (v22(constB108)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29258, 11120, 13685])).
% 40.60/27.11 tff(29260,plain,
% 40.60/27.11 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB108)) | (~v22(constB108)) | v18(constB108))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB108)) | (~v22(constB108)) | v18(constB108))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29261,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB108)) | (~v22(constB108)) | v18(constB108))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29262,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB108)) | (~v22(constB108)) | v18(constB108)),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29261, 29260])).
% 40.60/27.11 tff(29263,plain,
% 40.60/27.11 ((~v19(constB108)) | v18(constB108)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29262, 11134, 29259])).
% 40.60/27.11 tff(29264,plain,
% 40.60/27.11 (~v19(constB108)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29263, 29255])).
% 40.60/27.11 tff(29265,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29266,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29267,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108)),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29266, 29265])).
% 40.60/27.11 tff(29268,plain,
% 40.60/27.11 (v13(constB108)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29267, 11149, 29264])).
% 40.60/27.11 tff(29269,plain,
% 40.60/27.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29270,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29271,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107)),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29270, 29269])).
% 40.60/27.11 tff(29272,plain,
% 40.60/27.11 ((~v13(constB108)) | v9(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29271, 11163, 13665])).
% 40.60/27.11 tff(29273,plain,
% 40.60/27.11 (v9(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29272, 29268])).
% 40.60/27.11 tff(29274,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v184(constB107))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB107) | (~v9(constB107)) | v184(constB107))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29275,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v184(constB107))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29276,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB107) | (~v9(constB107)) | v184(constB107)),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29275, 29274])).
% 40.60/27.11 tff(29277,plain,
% 40.60/27.11 ((~v9(constB107)) | v184(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29276, 11178, 13548])).
% 40.60/27.11 tff(29278,plain,
% 40.60/27.11 (v184(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29277, 29273])).
% 40.60/27.11 tff(29279,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB107) | (~v184(constB107)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB107) | (~v184(constB107)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29280,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB107) | (~v184(constB107)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29281,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB107) | (~v184(constB107))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29280, 29279])).
% 40.60/27.11 tff(29282,plain,
% 40.60/27.11 (v183(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29281, 11190, 29278])).
% 40.60/27.11 tff(29283,plain,
% 40.60/27.11 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB107)) | (~v183(constB107)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB107)) | (~v183(constB107)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29284,plain,
% 40.60/27.11 (((~v183(constB107)) | (~v181(constB107))) <=> ((~v181(constB107)) | (~v183(constB107)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29285,plain,
% 40.60/27.11 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB107)) | (~v181(constB107)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB107)) | (~v183(constB107))))),
% 40.60/27.11 inference(monotonicity,[status(thm)],[29284])).
% 40.60/27.11 tff(29286,plain,
% 40.60/27.11 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB107)) | (~v181(constB107)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB107)) | (~v183(constB107)))),
% 40.60/27.11 inference(transitivity,[status(thm)],[29285, 29283])).
% 40.60/27.11 tff(29287,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB107)) | (~v181(constB107)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29288,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB107)) | (~v183(constB107))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29287, 29286])).
% 40.60/27.11 tff(29289,plain,
% 40.60/27.11 (~v181(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29288, 11201, 29282])).
% 40.60/27.11 tff(29290,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB107) | v185(constB107) | (~v178(constB107)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB107) | v185(constB107) | (~v178(constB107)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29291,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB107) | v185(constB107) | (~v178(constB107)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29292,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB107) | v185(constB107) | (~v178(constB107))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29291, 29290])).
% 40.60/27.11 tff(29293,plain,
% 40.60/27.11 (v185(constB107) | (~v178(constB107))),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29292, 11215, 29289])).
% 40.60/27.11 tff(29294,plain,
% 40.60/27.11 (~v178(constB107)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29293, 29251])).
% 40.60/27.11 tff(29295,plain,
% 40.60/27.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29296,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29297,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29296, 29295])).
% 40.60/27.11 tff(29298,plain,
% 40.60/27.11 (v178(constB107) | (~v180(constB108))),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29297, 11230, 13665])).
% 40.60/27.11 tff(29299,plain,
% 40.60/27.11 (~v180(constB108)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29298, 29294])).
% 40.60/27.11 tff(29300,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB108) | (~v181(constB108)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB108) | (~v181(constB108)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29301,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB108) | (~v181(constB108)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29302,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB108) | (~v181(constB108))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29301, 29300])).
% 40.60/27.11 tff(29303,plain,
% 40.60/27.11 (~v181(constB108)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29302, 11242, 29299])).
% 40.60/27.11 tff(29304,plain,
% 40.60/27.11 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB108)) | (~v184(constB108)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB108)) | (~v184(constB108)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29305,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB108)) | (~v184(constB108)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29306,plain,
% 40.60/27.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB108)) | (~v184(constB108))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29305, 29304])).
% 40.60/27.11 tff(29307,plain,
% 40.60/27.11 (~v184(constB108)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29306, 11253, 13685])).
% 40.60/27.11 tff(29308,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB108) | (~v187(constB108)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB108) | (~v187(constB108)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29309,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB108) | (~v187(constB108)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29310,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB108) | (~v187(constB108))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29309, 29308])).
% 40.60/27.11 tff(29311,plain,
% 40.60/27.11 (~v187(constB108)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29310, 11264, 29307])).
% 40.60/27.11 tff(29312,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB108) | (~v185(constB108)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB108) | (~v185(constB108)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29313,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB108) | (~v185(constB108)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29314,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB108) | (~v185(constB108))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29313, 29312])).
% 40.60/27.11 tff(29315,plain,
% 40.60/27.11 (~v185(constB108)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29314, 11098, 29311])).
% 40.60/27.11 tff(29316,plain,
% 40.60/27.11 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB108) | v185(constB108) | (~v178(constB108)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB108) | v185(constB108) | (~v178(constB108)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29317,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB108) | v185(constB108) | (~v178(constB108)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29318,plain,
% 40.60/27.11 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB108) | v185(constB108) | (~v178(constB108))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29317, 29316])).
% 40.60/27.11 tff(29319,plain,
% 40.60/27.11 (v181(constB108) | (~v178(constB108))),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29318, 11215, 29315])).
% 40.60/27.11 tff(29320,plain,
% 40.60/27.11 (~v178(constB108)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29319, 29303])).
% 40.60/27.11 tff(29321,plain,
% 40.60/27.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))),
% 40.60/27.11 inference(rewrite,[status(thm)],[])).
% 40.60/27.11 tff(29322,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))),
% 40.60/27.11 inference(quant_inst,[status(thm)],[])).
% 40.60/27.11 tff(29323,plain,
% 40.60/27.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109))),
% 40.60/27.11 inference(modus_ponens,[status(thm)],[29322, 29321])).
% 40.60/27.11 tff(29324,plain,
% 40.60/27.11 (v178(constB108) | (~v180(constB109))),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29323, 11230, 13727])).
% 40.60/27.11 tff(29325,plain,
% 40.60/27.11 (~v180(constB109)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29324, 29320])).
% 40.60/27.11 tff(29326,plain,
% 40.60/27.11 ($false),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29325, 29232])).
% 40.60/27.11 tff(29327,plain,((~(constB109 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.60/27.11 tff(29328,plain,
% 40.60/27.11 (~(constB109 = sK0_VarCurr)),
% 40.60/27.11 inference(unit_resolution,[status(thm)],[29327, 10998])).
% 40.60/27.11 tff(29329,assumption,(constB75 = sK0_VarCurr), introduced(assumption)).
% 40.60/27.11 tff(29330,plain,
% 40.60/27.11 (v180(constB75) <=> v180(sK0_VarCurr)),
% 40.60/27.11 inference(monotonicity,[status(thm)],[29329])).
% 40.68/27.11 tff(29331,plain,
% 40.68/27.11 (v180(sK0_VarCurr) <=> v180(constB75)),
% 40.68/27.11 inference(symmetry,[status(thm)],[29330])).
% 40.68/27.11 tff(29332,plain,
% 40.68/27.11 (v180(constB75)),
% 40.68/27.11 inference(modus_ponens,[status(thm)],[11002, 29331])).
% 40.68/27.11 tff(29333,plain,
% 40.68/27.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB73, bitIndex0) | (~v88(constB73, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB73, bitIndex0) | (~v88(constB73, bitIndex0)))),
% 40.68/27.11 inference(rewrite,[status(thm)],[])).
% 40.68/27.11 tff(29334,plain,
% 40.68/27.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB73, bitIndex0) | (~v88(constB73, bitIndex0)))),
% 40.68/27.11 inference(quant_inst,[status(thm)],[])).
% 40.68/27.11 tff(29335,plain,
% 40.68/27.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB73, bitIndex0) | (~v88(constB73, bitIndex0))),
% 40.68/27.11 inference(modus_ponens,[status(thm)],[29334, 29333])).
% 40.68/27.11 tff(29336,plain,
% 40.68/27.11 (~v88(constB73, bitIndex0)),
% 40.68/27.11 inference(unit_resolution,[status(thm)],[29335, 14645, 9627])).
% 40.68/27.11 tff(29337,plain,
% 40.68/27.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))),
% 40.68/27.11 inference(rewrite,[status(thm)],[])).
% 40.68/27.11 tff(29338,plain,
% 40.68/27.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))),
% 40.68/27.11 inference(quant_inst,[status(thm)],[])).
% 40.68/27.11 tff(29339,plain,
% 40.68/27.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2)),
% 40.68/27.11 inference(modus_ponens,[status(thm)],[29338, 29337])).
% 40.68/27.11 tff(29340,plain,
% 40.68/27.11 (v88(constB73, bitIndex2)),
% 40.68/27.11 inference(unit_resolution,[status(thm)],[29339, 10566, 9562])).
% 40.68/27.11 tff(29341,plain,
% 40.68/27.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1))),
% 40.68/27.11 inference(rewrite,[status(thm)],[])).
% 40.68/27.11 tff(29342,plain,
% 40.68/27.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1))),
% 40.68/27.11 inference(quant_inst,[status(thm)],[])).
% 40.68/27.11 tff(29343,plain,
% 40.68/27.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1)),
% 40.68/27.11 inference(modus_ponens,[status(thm)],[29342, 29341])).
% 40.68/27.11 tff(29344,plain,
% 40.68/27.11 (v88(constB73, bitIndex1)),
% 40.68/27.11 inference(unit_resolution,[status(thm)],[29343, 21131, 9593])).
% 40.68/27.11 tff(29345,plain,
% 40.68/27.11 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB73, bitIndex0) | v144(constB73) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB73, bitIndex0) | v144(constB73) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))),
% 40.68/27.11 inference(rewrite,[status(thm)],[])).
% 40.68/27.11 tff(29346,plain,
% 40.68/27.11 (((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73)) <=> (v88(constB73, bitIndex0) | v144(constB73) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))),
% 40.68/27.11 inference(rewrite,[status(thm)],[])).
% 40.68/27.11 tff(29347,plain,
% 40.68/27.11 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB73, bitIndex0) | v144(constB73) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1))))),
% 40.68/27.11 inference(monotonicity,[status(thm)],[29346])).
% 40.68/27.11 tff(29348,plain,
% 40.68/27.11 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB73, bitIndex0) | v144(constB73) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)))),
% 40.68/27.11 inference(transitivity,[status(thm)],[29347, 29345])).
% 40.68/27.11 tff(29349,plain,
% 40.68/27.11 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73))),
% 40.68/27.11 inference(quant_inst,[status(thm)],[])).
% 40.68/27.11 tff(29350,plain,
% 40.68/27.11 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB73, bitIndex0) | v144(constB73) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1))),
% 40.68/27.11 inference(modus_ponens,[status(thm)],[29349, 29348])).
% 40.68/27.11 tff(29351,plain,
% 40.68/27.11 (v144(constB73)),
% 40.68/27.11 inference(unit_resolution,[status(thm)],[29350, 21145, 29344, 29340, 29336])).
% 40.68/27.11 tff(29352,plain,
% 40.68/27.11 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB73) | (~v144(constB73)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB73) | (~v144(constB73)))),
% 40.68/27.11 inference(rewrite,[status(thm)],[])).
% 40.68/27.11 tff(29353,plain,
% 40.68/27.11 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB73) | (~v144(constB73)))),
% 40.68/27.11 inference(quant_inst,[status(thm)],[])).
% 40.68/27.11 tff(29354,plain,
% 40.68/27.11 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB73) | (~v144(constB73))),
% 40.68/27.11 inference(modus_ponens,[status(thm)],[29353, 29352])).
% 40.68/27.11 tff(29355,plain,
% 40.68/27.11 (v142(constB73)),
% 40.68/27.11 inference(unit_resolution,[status(thm)],[29354, 21159, 29351])).
% 40.68/27.11 tff(29356,plain,
% 40.68/27.11 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB73) | (~v142(constB73)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB73) | (~v142(constB73)))),
% 40.68/27.11 inference(rewrite,[status(thm)],[])).
% 40.68/27.11 tff(29357,plain,
% 40.68/27.11 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB73) | (~v142(constB73)))),
% 40.68/27.11 inference(quant_inst,[status(thm)],[])).
% 40.68/27.11 tff(29358,plain,
% 40.68/27.11 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB73) | (~v142(constB73))),
% 40.68/27.11 inference(modus_ponens,[status(thm)],[29357, 29356])).
% 40.68/27.11 tff(29359,plain,
% 40.68/27.11 (v166(constB73)),
% 40.68/27.11 inference(unit_resolution,[status(thm)],[29358, 21170, 29355])).
% 40.68/27.11 tff(29360,plain,
% 40.68/27.11 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB73) | (~v166(constB73)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB73) | (~v166(constB73)))),
% 40.68/27.11 inference(rewrite,[status(thm)],[])).
% 40.68/27.11 tff(29361,plain,
% 40.68/27.11 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB73) | (~v166(constB73)))),
% 40.68/27.11 inference(quant_inst,[status(thm)],[])).
% 40.68/27.11 tff(29362,plain,
% 40.68/27.11 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB73) | (~v166(constB73))),
% 40.68/27.11 inference(modus_ponens,[status(thm)],[29361, 29360])).
% 40.68/27.11 tff(29363,plain,
% 40.68/27.11 (v165(constB73)),
% 40.68/27.11 inference(unit_resolution,[status(thm)],[29362, 21181, 29359])).
% 40.68/27.11 tff(29364,plain,
% 40.68/27.11 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB73)) | (~v88(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB73)) | (~v88(constB73, bitIndex1)))),
% 40.68/27.11 inference(rewrite,[status(thm)],[])).
% 40.68/27.11 tff(29365,plain,
% 40.68/27.11 (((~v88(constB73, bitIndex1)) | (~v139(constB73))) <=> ((~v139(constB73)) | (~v88(constB73, bitIndex1)))),
% 40.68/27.11 inference(rewrite,[status(thm)],[])).
% 40.68/27.11 tff(29366,plain,
% 40.68/27.11 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB73, bitIndex1)) | (~v139(constB73)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB73)) | (~v88(constB73, bitIndex1))))),
% 40.68/27.12 inference(monotonicity,[status(thm)],[29365])).
% 40.68/27.12 tff(29367,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB73, bitIndex1)) | (~v139(constB73)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB73)) | (~v88(constB73, bitIndex1)))),
% 40.68/27.12 inference(transitivity,[status(thm)],[29366, 29364])).
% 40.68/27.12 tff(29368,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB73, bitIndex1)) | (~v139(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29369,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB73)) | (~v88(constB73, bitIndex1))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29368, 29367])).
% 40.68/27.12 tff(29370,plain,
% 40.68/27.12 (~v139(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29369, 21192, 29344])).
% 40.68/27.12 tff(29371,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB73, bitIndex1)) | (~v140(constB73)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB73, bitIndex1)) | (~v140(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29372,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB73, bitIndex1)) | (~v140(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29373,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB73, bitIndex1)) | (~v140(constB73))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29372, 29371])).
% 40.68/27.12 tff(29374,plain,
% 40.68/27.12 (~v140(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29373, 21203, 29344])).
% 40.68/27.12 tff(29375,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB73) | v140(constB73) | (~v170(constB73)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB73) | v140(constB73) | (~v170(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29376,plain,
% 40.68/27.12 ((v140(constB73) | v139(constB73) | (~v170(constB73))) <=> (v139(constB73) | v140(constB73) | (~v170(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29377,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB73) | v139(constB73) | (~v170(constB73)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB73) | v140(constB73) | (~v170(constB73))))),
% 40.68/27.12 inference(monotonicity,[status(thm)],[29376])).
% 40.68/27.12 tff(29378,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB73) | v139(constB73) | (~v170(constB73)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB73) | v140(constB73) | (~v170(constB73)))),
% 40.68/27.12 inference(transitivity,[status(thm)],[29377, 29375])).
% 40.68/27.12 tff(29379,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB73) | v139(constB73) | (~v170(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29380,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB73) | v140(constB73) | (~v170(constB73))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29379, 29378])).
% 40.68/27.12 tff(29381,plain,
% 40.68/27.12 (~v170(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29380, 10647, 29374, 29370])).
% 40.68/27.12 tff(29382,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB73, bitIndex2)) | (~v141(constB73)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB73, bitIndex2)) | (~v141(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29383,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB73, bitIndex2)) | (~v141(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29384,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB73, bitIndex2)) | (~v141(constB73))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29383, 29382])).
% 40.68/27.12 tff(29385,plain,
% 40.68/27.12 (~v141(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29384, 10658, 29340])).
% 40.68/27.12 tff(29386,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB73) | v170(constB73) | (~v169(constB73)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB73) | v170(constB73) | (~v169(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29387,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB73) | v170(constB73) | (~v169(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29388,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB73) | v170(constB73) | (~v169(constB73))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29387, 29386])).
% 40.68/27.12 tff(29389,plain,
% 40.68/27.12 (~v169(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29388, 11040, 29385, 29381])).
% 40.68/27.12 tff(29390,plain,
% 40.68/27.12 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB73)) | v169(constB73) | (~v165(constB73)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB73)) | v169(constB73) | (~v165(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29391,plain,
% 40.68/27.12 (((~v165(constB73)) | v169(constB73) | (~v162(constB73))) <=> ((~v162(constB73)) | v169(constB73) | (~v165(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29392,plain,
% 40.68/27.12 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB73)) | v169(constB73) | (~v162(constB73)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB73)) | v169(constB73) | (~v165(constB73))))),
% 40.68/27.12 inference(monotonicity,[status(thm)],[29391])).
% 40.68/27.12 tff(29393,plain,
% 40.68/27.12 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB73)) | v169(constB73) | (~v162(constB73)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB73)) | v169(constB73) | (~v165(constB73)))),
% 40.68/27.12 inference(transitivity,[status(thm)],[29392, 29390])).
% 40.68/27.12 tff(29394,plain,
% 40.68/27.12 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB73)) | v169(constB73) | (~v162(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29395,plain,
% 40.68/27.12 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB73)) | v169(constB73) | (~v165(constB73))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29394, 29393])).
% 40.68/27.12 tff(29396,plain,
% 40.68/27.12 ((~v162(constB73)) | (~v165(constB73))),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29395, 11073, 29389])).
% 40.68/27.12 tff(29397,plain,
% 40.68/27.12 (~v162(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29396, 29363])).
% 40.68/27.12 tff(29398,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB73) | (~v187(constB73)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB73) | (~v187(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29399,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB73) | (~v187(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29400,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB73) | (~v187(constB73))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29399, 29398])).
% 40.68/27.12 tff(29401,plain,
% 40.68/27.12 (~v187(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29400, 11087, 29397])).
% 40.68/27.12 tff(29402,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB73) | (~v185(constB73)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB73) | (~v185(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29403,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB73) | (~v185(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29404,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB73) | (~v185(constB73))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29403, 29402])).
% 40.68/27.12 tff(29405,plain,
% 40.68/27.12 (~v185(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29404, 11098, 29401])).
% 40.68/27.12 tff(29406,assumption,(v18(constB74)), introduced(assumption)).
% 40.68/27.12 tff(29407,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB74))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29408,plain,
% 40.68/27.12 ($false),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29407, 11110, 29406])).
% 40.68/27.12 tff(29409,plain,(~v18(constB74)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.12 tff(29410,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29411,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29412,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29411, 29410])).
% 40.68/27.12 tff(29413,plain,
% 40.68/27.12 (v22(constB74)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29412, 11120, 9674])).
% 40.68/27.12 tff(29414,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB74)) | (~v22(constB74)) | v18(constB74))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB74)) | (~v22(constB74)) | v18(constB74))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29415,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB74)) | (~v22(constB74)) | v18(constB74))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29416,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB74)) | (~v22(constB74)) | v18(constB74)),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29415, 29414])).
% 40.68/27.12 tff(29417,plain,
% 40.68/27.12 ((~v19(constB74)) | v18(constB74)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29416, 11134, 29413])).
% 40.68/27.12 tff(29418,plain,
% 40.68/27.12 (~v19(constB74)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29417, 29409])).
% 40.68/27.12 tff(29419,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29420,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29421,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74)),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29420, 29419])).
% 40.68/27.12 tff(29422,plain,
% 40.68/27.12 (v13(constB74)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29421, 11149, 29418])).
% 40.68/27.12 tff(29423,plain,
% 40.68/27.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29424,plain,
% 40.68/27.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29425,plain,
% 40.68/27.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73)),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29424, 29423])).
% 40.68/27.12 tff(29426,plain,
% 40.68/27.12 ((~v13(constB74)) | v9(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29425, 11163, 9654])).
% 40.68/27.12 tff(29427,plain,
% 40.68/27.12 (v9(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29426, 29422])).
% 40.68/27.12 tff(29428,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v184(constB73))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB73) | (~v9(constB73)) | v184(constB73))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29429,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v184(constB73))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29430,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB73) | (~v9(constB73)) | v184(constB73)),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29429, 29428])).
% 40.68/27.12 tff(29431,plain,
% 40.68/27.12 ((~v9(constB73)) | v184(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29430, 11178, 9538])).
% 40.68/27.12 tff(29432,plain,
% 40.68/27.12 (v184(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29431, 29427])).
% 40.68/27.12 tff(29433,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB73) | (~v184(constB73)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB73) | (~v184(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29434,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB73) | (~v184(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29435,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB73) | (~v184(constB73))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29434, 29433])).
% 40.68/27.12 tff(29436,plain,
% 40.68/27.12 (v183(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29435, 11190, 29432])).
% 40.68/27.12 tff(29437,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB73)) | (~v183(constB73)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB73)) | (~v183(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29438,plain,
% 40.68/27.12 (((~v183(constB73)) | (~v181(constB73))) <=> ((~v181(constB73)) | (~v183(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29439,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB73)) | (~v181(constB73)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB73)) | (~v183(constB73))))),
% 40.68/27.12 inference(monotonicity,[status(thm)],[29438])).
% 40.68/27.12 tff(29440,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB73)) | (~v181(constB73)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB73)) | (~v183(constB73)))),
% 40.68/27.12 inference(transitivity,[status(thm)],[29439, 29437])).
% 40.68/27.12 tff(29441,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB73)) | (~v181(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29442,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB73)) | (~v183(constB73))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29441, 29440])).
% 40.68/27.12 tff(29443,plain,
% 40.68/27.12 (~v181(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29442, 11201, 29436])).
% 40.68/27.12 tff(29444,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB73) | v185(constB73) | (~v178(constB73)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB73) | v185(constB73) | (~v178(constB73)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29445,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB73) | v185(constB73) | (~v178(constB73)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29446,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB73) | v185(constB73) | (~v178(constB73))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29445, 29444])).
% 40.68/27.12 tff(29447,plain,
% 40.68/27.12 (v185(constB73) | (~v178(constB73))),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29446, 11215, 29443])).
% 40.68/27.12 tff(29448,plain,
% 40.68/27.12 (~v178(constB73)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29447, 29405])).
% 40.68/27.12 tff(29449,plain,
% 40.68/27.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB73, constB74)) | v178(constB73) | (~v180(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB73, constB74)) | v178(constB73) | (~v180(constB74)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29450,plain,
% 40.68/27.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB73, constB74)) | v178(constB73) | (~v180(constB74)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29451,plain,
% 40.68/27.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB73, constB74)) | v178(constB73) | (~v180(constB74))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29450, 29449])).
% 40.68/27.12 tff(29452,plain,
% 40.68/27.12 (v178(constB73) | (~v180(constB74))),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29451, 11230, 9654])).
% 40.68/27.12 tff(29453,plain,
% 40.68/27.12 (~v180(constB74)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29452, 29448])).
% 40.68/27.12 tff(29454,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB74) | (~v181(constB74)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB74) | (~v181(constB74)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29455,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB74) | (~v181(constB74)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29456,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB74) | (~v181(constB74))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29455, 29454])).
% 40.68/27.12 tff(29457,plain,
% 40.68/27.12 (~v181(constB74)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29456, 11242, 29453])).
% 40.68/27.12 tff(29458,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB74)) | (~v184(constB74)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB74)) | (~v184(constB74)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29459,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB74)) | (~v184(constB74)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29460,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB74)) | (~v184(constB74))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29459, 29458])).
% 40.68/27.12 tff(29461,plain,
% 40.68/27.12 (~v184(constB74)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29460, 11253, 9674])).
% 40.68/27.12 tff(29462,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB74) | (~v187(constB74)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB74) | (~v187(constB74)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29463,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB74) | (~v187(constB74)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29464,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB74) | (~v187(constB74))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29463, 29462])).
% 40.68/27.12 tff(29465,plain,
% 40.68/27.12 (~v187(constB74)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29464, 11264, 29461])).
% 40.68/27.12 tff(29466,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB74) | (~v185(constB74)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB74) | (~v185(constB74)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29467,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB74) | (~v185(constB74)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29468,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB74) | (~v185(constB74))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29467, 29466])).
% 40.68/27.12 tff(29469,plain,
% 40.68/27.12 (~v185(constB74)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29468, 11098, 29465])).
% 40.68/27.12 tff(29470,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB74) | v185(constB74) | (~v178(constB74)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB74) | v185(constB74) | (~v178(constB74)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29471,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB74) | v185(constB74) | (~v178(constB74)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29472,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB74) | v185(constB74) | (~v178(constB74))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29471, 29470])).
% 40.68/27.12 tff(29473,plain,
% 40.68/27.12 (v181(constB74) | (~v178(constB74))),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29472, 11215, 29469])).
% 40.68/27.12 tff(29474,plain,
% 40.68/27.12 (~v178(constB74)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29473, 29457])).
% 40.68/27.12 tff(29475,plain,
% 40.68/27.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB74, constB75)) | v178(constB74) | (~v180(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB74, constB75)) | v178(constB74) | (~v180(constB75)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29476,plain,
% 40.68/27.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB74, constB75)) | v178(constB74) | (~v180(constB75)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29477,plain,
% 40.68/27.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB74, constB75)) | v178(constB74) | (~v180(constB75))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29476, 29475])).
% 40.68/27.12 tff(29478,plain,
% 40.68/27.12 (v178(constB74) | (~v180(constB75))),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29477, 11230, 9746])).
% 40.68/27.12 tff(29479,plain,
% 40.68/27.12 (~v180(constB75)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29478, 29474])).
% 40.68/27.12 tff(29480,plain,
% 40.68/27.12 ($false),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29479, 29332])).
% 40.68/27.12 tff(29481,plain,((~(constB75 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.68/27.12 tff(29482,plain,
% 40.68/27.12 (~(constB75 = sK0_VarCurr)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29481, 10998])).
% 40.68/27.12 tff(29483,assumption,(constB168 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.12 tff(29484,plain,
% 40.68/27.12 (v1(constB168) <=> v1(sK0_VarCurr)),
% 40.68/27.12 inference(monotonicity,[status(thm)],[29483])).
% 40.68/27.12 tff(29485,plain,
% 40.68/27.12 (v1(sK0_VarCurr) <=> v1(constB168)),
% 40.68/27.12 inference(symmetry,[status(thm)],[29484])).
% 40.68/27.12 tff(29486,plain,
% 40.68/27.12 ((~v1(sK0_VarCurr)) <=> (~v1(constB168))),
% 40.68/27.12 inference(monotonicity,[status(thm)],[29485])).
% 40.68/27.12 tff(29487,plain,
% 40.68/27.12 (~v1(constB168)),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[21332, 29486])).
% 40.68/27.12 tff(29488,plain,
% 40.68/27.12 ($false),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[23314, 29487])).
% 40.68/27.12 tff(29489,plain,((~(constB168 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.12 tff(29490,plain,
% 40.68/27.12 (~(constB168 = sK0_VarCurr)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29489, 21327])).
% 40.68/27.12 tff(29491,assumption,(constB135 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.12 tff(29492,plain,
% 40.68/27.12 (v180(constB135) <=> v180(sK0_VarCurr)),
% 40.68/27.12 inference(monotonicity,[status(thm)],[29491])).
% 40.68/27.12 tff(29493,plain,
% 40.68/27.12 (v180(sK0_VarCurr) <=> v180(constB135)),
% 40.68/27.12 inference(symmetry,[status(thm)],[29492])).
% 40.68/27.12 tff(29494,plain,
% 40.68/27.12 (v180(constB135)),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[11002, 29493])).
% 40.68/27.12 tff(29495,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29496,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29497,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1)),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29496, 29495])).
% 40.68/27.12 tff(29498,plain,
% 40.68/27.12 (v88(constB133, bitIndex1)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29497, 21131, 17384])).
% 40.68/27.12 tff(29499,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB133, bitIndex0) | (~v88(constB133, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB133, bitIndex0) | (~v88(constB133, bitIndex0)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29500,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB133, bitIndex0) | (~v88(constB133, bitIndex0)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29501,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB133, bitIndex0) | (~v88(constB133, bitIndex0))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29500, 29499])).
% 40.68/27.12 tff(29502,plain,
% 40.68/27.12 (~v88(constB133, bitIndex0)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29501, 14645, 17342])).
% 40.68/27.12 tff(29503,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29504,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29505,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2)),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29504, 29503])).
% 40.68/27.12 tff(29506,plain,
% 40.68/27.12 (v88(constB133, bitIndex2)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29505, 10566, 17475])).
% 40.68/27.12 tff(29507,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | v144(constB133) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB133, bitIndex2)) | v144(constB133) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29508,plain,
% 40.68/27.12 (((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133)) <=> ((~v88(constB133, bitIndex2)) | v144(constB133) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29509,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | v144(constB133) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0)))),
% 40.68/27.12 inference(monotonicity,[status(thm)],[29508])).
% 40.68/27.12 tff(29510,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB133, bitIndex2)) | v144(constB133) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))),
% 40.68/27.12 inference(transitivity,[status(thm)],[29509, 29507])).
% 40.68/27.12 tff(29511,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29512,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB133, bitIndex2)) | v144(constB133) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0)),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29511, 29510])).
% 40.68/27.12 tff(29513,plain,
% 40.68/27.12 (v144(constB133)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29512, 21145, 29506, 29502, 29498])).
% 40.68/27.12 tff(29514,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB133) | (~v144(constB133)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB133) | (~v144(constB133)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29515,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB133) | (~v144(constB133)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29516,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB133) | (~v144(constB133))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29515, 29514])).
% 40.68/27.12 tff(29517,plain,
% 40.68/27.12 (v142(constB133)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29516, 21159, 29513])).
% 40.68/27.12 tff(29518,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB133) | (~v142(constB133)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB133) | (~v142(constB133)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29519,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB133) | (~v142(constB133)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29520,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB133) | (~v142(constB133))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29519, 29518])).
% 40.68/27.12 tff(29521,plain,
% 40.68/27.12 (v166(constB133)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29520, 21170, 29517])).
% 40.68/27.12 tff(29522,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB133) | (~v166(constB133)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB133) | (~v166(constB133)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29523,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB133) | (~v166(constB133)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29524,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB133) | (~v166(constB133))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29523, 29522])).
% 40.68/27.12 tff(29525,plain,
% 40.68/27.12 (v165(constB133)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29524, 21181, 29521])).
% 40.68/27.12 tff(29526,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB133, bitIndex2)) | (~v139(constB133)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB133, bitIndex2)) | (~v139(constB133)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29527,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB133, bitIndex2)) | (~v139(constB133)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29528,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v88(constB133, bitIndex2)) | (~v139(constB133))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29527, 29526])).
% 40.68/27.12 tff(29529,plain,
% 40.68/27.12 (~v139(constB133)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29528, 10904, 29506])).
% 40.68/27.12 tff(29530,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB133, bitIndex2)) | (~v140(constB133)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB133, bitIndex2)) | (~v140(constB133)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29531,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB133, bitIndex2)) | (~v140(constB133)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29532,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB133, bitIndex2)) | (~v140(constB133))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29531, 29530])).
% 40.68/27.12 tff(29533,plain,
% 40.68/27.12 (~v140(constB133)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29532, 10577, 29506])).
% 40.68/27.12 tff(29534,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB133) | v139(constB133) | (~v170(constB133)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB133) | v139(constB133) | (~v170(constB133)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29535,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB133) | v139(constB133) | (~v170(constB133)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29536,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB133) | v139(constB133) | (~v170(constB133))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29535, 29534])).
% 40.68/27.12 tff(29537,plain,
% 40.68/27.12 (~v170(constB133)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29536, 10647, 29533, 29529])).
% 40.68/27.12 tff(29538,plain,
% 40.68/27.12 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB133, bitIndex2)) | (~v141(constB133)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB133, bitIndex2)) | (~v141(constB133)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29539,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB133, bitIndex2)) | (~v141(constB133)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29540,plain,
% 40.68/27.12 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB133, bitIndex2)) | (~v141(constB133))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 40.68/27.12 tff(29541,plain,
% 40.68/27.12 (~v141(constB133)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29540, 10658, 29506])).
% 40.68/27.12 tff(29542,plain,
% 40.68/27.12 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB133) | v170(constB133) | (~v169(constB133)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB133) | v170(constB133) | (~v169(constB133)))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29543,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB133) | v170(constB133) | (~v169(constB133)))),
% 40.68/27.12 inference(quant_inst,[status(thm)],[])).
% 40.68/27.12 tff(29544,plain,
% 40.68/27.12 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB133) | v170(constB133) | (~v169(constB133))),
% 40.68/27.12 inference(modus_ponens,[status(thm)],[29543, 29542])).
% 40.68/27.12 tff(29545,plain,
% 40.68/27.12 (v170(constB133) | (~v169(constB133))),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29544, 11040, 29541])).
% 40.68/27.12 tff(29546,plain,
% 40.68/27.12 (~v169(constB133)),
% 40.68/27.12 inference(unit_resolution,[status(thm)],[29545, 29537])).
% 40.68/27.12 tff(29547,plain,
% 40.68/27.12 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB133)) | (~v165(constB133)) | v169(constB133))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB133)) | (~v165(constB133)) | v169(constB133))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29548,plain,
% 40.68/27.12 (((~v165(constB133)) | v169(constB133) | (~v162(constB133))) <=> ((~v162(constB133)) | (~v165(constB133)) | v169(constB133))),
% 40.68/27.12 inference(rewrite,[status(thm)],[])).
% 40.68/27.12 tff(29549,plain,
% 40.68/27.12 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB133)) | v169(constB133) | (~v162(constB133)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB133)) | (~v165(constB133)) | v169(constB133)))),
% 40.68/27.12 inference(monotonicity,[status(thm)],[29548])).
% 40.68/27.12 tff(29550,plain,
% 40.68/27.12 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB133)) | v169(constB133) | (~v162(constB133)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB133)) | (~v165(constB133)) | v169(constB133))),
% 40.68/27.12 inference(transitivity,[status(thm)],[29549, 29547])).
% 40.68/27.13 tff(29551,plain,
% 40.68/27.13 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB133)) | v169(constB133) | (~v162(constB133)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29552,plain,
% 40.68/27.13 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB133)) | (~v165(constB133)) | v169(constB133)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29551, 29550])).
% 40.68/27.13 tff(29553,plain,
% 40.68/27.13 ((~v162(constB133)) | (~v165(constB133))),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29552, 11073, 29546])).
% 40.68/27.13 tff(29554,plain,
% 40.68/27.13 (~v162(constB133)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29553, 29525])).
% 40.68/27.13 tff(29555,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB133) | (~v187(constB133)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB133) | (~v187(constB133)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29556,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB133) | (~v187(constB133)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29557,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB133) | (~v187(constB133))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29556, 29555])).
% 40.68/27.13 tff(29558,plain,
% 40.68/27.13 (~v187(constB133)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29557, 11087, 29554])).
% 40.68/27.13 tff(29559,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB133) | (~v185(constB133)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB133) | (~v185(constB133)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29560,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB133) | (~v185(constB133)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29561,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB133) | (~v185(constB133))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29560, 29559])).
% 40.68/27.13 tff(29562,plain,
% 40.68/27.13 (~v185(constB133)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29561, 11098, 29558])).
% 40.68/27.13 tff(29563,assumption,(v18(constB134)), introduced(assumption)).
% 40.68/27.13 tff(29564,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB134))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29565,plain,
% 40.68/27.13 ($false),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29564, 11110, 29563])).
% 40.68/27.13 tff(29566,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.13 tff(29567,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29568,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29569,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29568, 29567])).
% 40.68/27.13 tff(29570,plain,
% 40.68/27.13 (v22(constB134)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29569, 11120, 17571])).
% 40.68/27.13 tff(29571,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB134)) | (~v22(constB134)) | v18(constB134))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB134)) | (~v22(constB134)) | v18(constB134))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29572,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB134)) | (~v22(constB134)) | v18(constB134))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29573,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB134)) | (~v22(constB134)) | v18(constB134)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29572, 29571])).
% 40.68/27.13 tff(29574,plain,
% 40.68/27.13 ((~v19(constB134)) | v18(constB134)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29573, 11134, 29570])).
% 40.68/27.13 tff(29575,plain,
% 40.68/27.13 (~v19(constB134)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29574, 29566])).
% 40.68/27.13 tff(29576,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29577,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29578,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29577, 29576])).
% 40.68/27.13 tff(29579,plain,
% 40.68/27.13 (v13(constB134)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29578, 11149, 29575])).
% 40.68/27.13 tff(29580,plain,
% 40.68/27.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29581,plain,
% 40.68/27.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29582,plain,
% 40.68/27.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29581, 29580])).
% 40.68/27.13 tff(29583,plain,
% 40.68/27.13 ((~v13(constB134)) | v9(constB133)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29582, 11163, 17517])).
% 40.68/27.13 tff(29584,plain,
% 40.68/27.13 (v9(constB133)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29583, 29579])).
% 40.68/27.13 tff(29585,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v184(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB133) | (~v9(constB133)) | v184(constB133))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29586,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v184(constB133))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29587,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB133) | (~v9(constB133)) | v184(constB133)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29586, 29585])).
% 40.68/27.13 tff(29588,plain,
% 40.68/27.13 ((~v9(constB133)) | v184(constB133)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29587, 11178, 17318])).
% 40.68/27.13 tff(29589,plain,
% 40.68/27.13 (v184(constB133)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29588, 29584])).
% 40.68/27.13 tff(29590,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB133) | (~v184(constB133)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB133) | (~v184(constB133)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29591,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB133) | (~v184(constB133)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29592,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB133) | (~v184(constB133))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29591, 29590])).
% 40.68/27.13 tff(29593,plain,
% 40.68/27.13 (v183(constB133)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29592, 11190, 29589])).
% 40.68/27.13 tff(29594,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB133)) | (~v183(constB133)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB133)) | (~v183(constB133)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29595,plain,
% 40.68/27.13 (((~v183(constB133)) | (~v181(constB133))) <=> ((~v181(constB133)) | (~v183(constB133)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29596,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB133)) | (~v181(constB133)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB133)) | (~v183(constB133))))),
% 40.68/27.13 inference(monotonicity,[status(thm)],[29595])).
% 40.68/27.13 tff(29597,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB133)) | (~v181(constB133)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB133)) | (~v183(constB133)))),
% 40.68/27.13 inference(transitivity,[status(thm)],[29596, 29594])).
% 40.68/27.13 tff(29598,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB133)) | (~v181(constB133)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29599,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB133)) | (~v183(constB133))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29598, 29597])).
% 40.68/27.13 tff(29600,plain,
% 40.68/27.13 (~v181(constB133)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29599, 11201, 29593])).
% 40.68/27.13 tff(29601,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB133) | v185(constB133) | (~v178(constB133)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB133) | v185(constB133) | (~v178(constB133)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29602,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB133) | v185(constB133) | (~v178(constB133)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29603,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB133) | v185(constB133) | (~v178(constB133))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29602, 29601])).
% 40.68/27.13 tff(29604,plain,
% 40.68/27.13 (v185(constB133) | (~v178(constB133))),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29603, 11215, 29600])).
% 40.68/27.13 tff(29605,plain,
% 40.68/27.13 (~v178(constB133)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29604, 29562])).
% 40.68/27.13 tff(29606,plain,
% 40.68/27.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29607,plain,
% 40.68/27.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29608,plain,
% 40.68/27.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29607, 29606])).
% 40.68/27.13 tff(29609,plain,
% 40.68/27.13 (v178(constB133) | (~v180(constB134))),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29608, 11230, 17517])).
% 40.68/27.13 tff(29610,plain,
% 40.68/27.13 (~v180(constB134)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29609, 29605])).
% 40.68/27.13 tff(29611,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB134) | (~v181(constB134)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB134) | (~v181(constB134)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29612,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB134) | (~v181(constB134)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29613,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB134) | (~v181(constB134))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29612, 29611])).
% 40.68/27.13 tff(29614,plain,
% 40.68/27.13 (~v181(constB134)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29613, 11242, 29610])).
% 40.68/27.13 tff(29615,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB134)) | (~v184(constB134)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB134)) | (~v184(constB134)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29616,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB134)) | (~v184(constB134)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29617,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB134)) | (~v184(constB134))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29616, 29615])).
% 40.68/27.13 tff(29618,plain,
% 40.68/27.13 (~v184(constB134)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29617, 11253, 17571])).
% 40.68/27.13 tff(29619,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB134) | (~v187(constB134)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB134) | (~v187(constB134)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29620,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB134) | (~v187(constB134)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29621,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB134) | (~v187(constB134))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29620, 29619])).
% 40.68/27.13 tff(29622,plain,
% 40.68/27.13 (~v187(constB134)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29621, 11264, 29618])).
% 40.68/27.13 tff(29623,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB134) | (~v185(constB134)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB134) | (~v185(constB134)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29624,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB134) | (~v185(constB134)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29625,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB134) | (~v185(constB134))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29624, 29623])).
% 40.68/27.13 tff(29626,plain,
% 40.68/27.13 (~v185(constB134)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29625, 11098, 29622])).
% 40.68/27.13 tff(29627,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB134) | v185(constB134) | (~v178(constB134)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB134) | v185(constB134) | (~v178(constB134)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29628,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB134) | v185(constB134) | (~v178(constB134)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29629,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB134) | v185(constB134) | (~v178(constB134))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29628, 29627])).
% 40.68/27.13 tff(29630,plain,
% 40.68/27.13 (v181(constB134) | (~v178(constB134))),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29629, 11215, 29626])).
% 40.68/27.13 tff(29631,plain,
% 40.68/27.13 (~v178(constB134)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29630, 29614])).
% 40.68/27.13 tff(29632,plain,
% 40.68/27.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29633,plain,
% 40.68/27.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29634,plain,
% 40.68/27.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29633, 29632])).
% 40.68/27.13 tff(29635,plain,
% 40.68/27.13 (v178(constB134) | (~v180(constB135))),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29634, 11230, 17598])).
% 40.68/27.13 tff(29636,plain,
% 40.68/27.13 (~v180(constB135)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29635, 29631])).
% 40.68/27.13 tff(29637,plain,
% 40.68/27.13 ($false),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29636, 29494])).
% 40.68/27.13 tff(29638,plain,((~(constB135 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.68/27.13 tff(29639,plain,
% 40.68/27.13 (~(constB135 = sK0_VarCurr)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29638, 10998])).
% 40.68/27.13 tff(29640,assumption,(constB195 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.13 tff(29641,plain,
% 40.68/27.13 (v180(constB195) <=> v180(sK0_VarCurr)),
% 40.68/27.13 inference(monotonicity,[status(thm)],[29640])).
% 40.68/27.13 tff(29642,plain,
% 40.68/27.13 (v180(sK0_VarCurr) <=> v180(constB195)),
% 40.68/27.13 inference(symmetry,[status(thm)],[29641])).
% 40.68/27.13 tff(29643,plain,
% 40.68/27.13 (v180(constB195)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[11002, 29642])).
% 40.68/27.13 tff(29644,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29645,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29646,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB193, bitIndex0) | (~v88(constB193, bitIndex0))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29645, 29644])).
% 40.68/27.13 tff(29647,plain,
% 40.68/27.13 (~v88(constB193, bitIndex0)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29646, 14645, 26401])).
% 40.68/27.13 tff(29648,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29649,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29650,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29649, 29648])).
% 40.68/27.13 tff(29651,plain,
% 40.68/27.13 (v88(constB193, bitIndex2)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29650, 10566, 26336])).
% 40.68/27.13 tff(29652,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29653,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29654,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29653, 29652])).
% 40.68/27.13 tff(29655,plain,
% 40.68/27.13 (v88(constB193, bitIndex1)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29654, 21131, 26367])).
% 40.68/27.13 tff(29656,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v144(constB193))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v144(constB193))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29657,plain,
% 40.68/27.13 (((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193)) <=> (v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v144(constB193))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29658,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v144(constB193)))),
% 40.68/27.13 inference(monotonicity,[status(thm)],[29657])).
% 40.68/27.13 tff(29659,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v144(constB193))),
% 40.68/27.13 inference(transitivity,[status(thm)],[29658, 29656])).
% 40.68/27.13 tff(29660,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29661,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB193, bitIndex0) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v144(constB193)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29660, 29659])).
% 40.68/27.13 tff(29662,plain,
% 40.68/27.13 (v144(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29661, 21145, 29655, 29651, 29647])).
% 40.68/27.13 tff(29663,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB193) | (~v144(constB193)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB193) | (~v144(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29664,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB193) | (~v144(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29665,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB193) | (~v144(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29664, 29663])).
% 40.68/27.13 tff(29666,plain,
% 40.68/27.13 (v142(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29665, 21159, 29662])).
% 40.68/27.13 tff(29667,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB193) | (~v142(constB193)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB193) | (~v142(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29668,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB193) | (~v142(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29669,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB193) | (~v142(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29668, 29667])).
% 40.68/27.13 tff(29670,plain,
% 40.68/27.13 (v166(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29669, 21170, 29666])).
% 40.68/27.13 tff(29671,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB193) | (~v166(constB193)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB193) | (~v166(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29672,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB193) | (~v166(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29673,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB193) | (~v166(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29672, 29671])).
% 40.68/27.13 tff(29674,plain,
% 40.68/27.13 (v165(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29673, 21181, 29670])).
% 40.68/27.13 tff(29675,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB193, bitIndex1)) | (~v139(constB193)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB193, bitIndex1)) | (~v139(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29676,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB193, bitIndex1)) | (~v139(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29677,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB193, bitIndex1)) | (~v139(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29676, 29675])).
% 40.68/27.13 tff(29678,plain,
% 40.68/27.13 (~v139(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29677, 21192, 29655])).
% 40.68/27.13 tff(29679,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB193, bitIndex1)) | (~v140(constB193)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB193, bitIndex1)) | (~v140(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29680,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB193, bitIndex1)) | (~v140(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29681,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB193, bitIndex1)) | (~v140(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29680, 29679])).
% 40.68/27.13 tff(29682,plain,
% 40.68/27.13 (~v140(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29681, 21203, 29655])).
% 40.68/27.13 tff(29683,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v170(constB193)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB193) | v139(constB193) | (~v170(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29684,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v170(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29685,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB193) | v139(constB193) | (~v170(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29684, 29683])).
% 40.68/27.13 tff(29686,plain,
% 40.68/27.13 (~v170(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29685, 10647, 29682, 29678])).
% 40.68/27.13 tff(29687,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB193, bitIndex2)) | (~v141(constB193)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB193, bitIndex2)) | (~v141(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29688,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB193, bitIndex2)) | (~v141(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29689,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB193, bitIndex2)) | (~v141(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29688, 29687])).
% 40.68/27.13 tff(29690,plain,
% 40.68/27.13 (~v141(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29689, 10658, 29651])).
% 40.68/27.13 tff(29691,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB193) | v170(constB193) | (~v169(constB193)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB193) | v170(constB193) | (~v169(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29692,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB193) | v170(constB193) | (~v169(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29693,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB193) | v170(constB193) | (~v169(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29692, 29691])).
% 40.68/27.13 tff(29694,plain,
% 40.68/27.13 (~v169(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29693, 11040, 29690, 29686])).
% 40.68/27.13 tff(29695,plain,
% 40.68/27.13 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB193)) | v169(constB193) | (~v165(constB193)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB193)) | v169(constB193) | (~v165(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29696,plain,
% 40.68/27.13 (((~v165(constB193)) | v169(constB193) | (~v162(constB193))) <=> ((~v162(constB193)) | v169(constB193) | (~v165(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29697,plain,
% 40.68/27.13 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB193)) | v169(constB193) | (~v162(constB193)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB193)) | v169(constB193) | (~v165(constB193))))),
% 40.68/27.13 inference(monotonicity,[status(thm)],[29696])).
% 40.68/27.13 tff(29698,plain,
% 40.68/27.13 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB193)) | v169(constB193) | (~v162(constB193)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB193)) | v169(constB193) | (~v165(constB193)))),
% 40.68/27.13 inference(transitivity,[status(thm)],[29697, 29695])).
% 40.68/27.13 tff(29699,plain,
% 40.68/27.13 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB193)) | v169(constB193) | (~v162(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29700,plain,
% 40.68/27.13 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB193)) | v169(constB193) | (~v165(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29699, 29698])).
% 40.68/27.13 tff(29701,plain,
% 40.68/27.13 ((~v162(constB193)) | (~v165(constB193))),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29700, 11073, 29694])).
% 40.68/27.13 tff(29702,plain,
% 40.68/27.13 (~v162(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29701, 29674])).
% 40.68/27.13 tff(29703,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB193) | (~v187(constB193)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB193) | (~v187(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29704,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB193) | (~v187(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29705,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB193) | (~v187(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29704, 29703])).
% 40.68/27.13 tff(29706,plain,
% 40.68/27.13 (~v187(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29705, 11087, 29702])).
% 40.68/27.13 tff(29707,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB193) | (~v185(constB193)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB193) | (~v185(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29708,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB193) | (~v185(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29709,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB193) | (~v185(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29708, 29707])).
% 40.68/27.13 tff(29710,plain,
% 40.68/27.13 (~v185(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29709, 11098, 29706])).
% 40.68/27.13 tff(29711,assumption,(v18(constB194)), introduced(assumption)).
% 40.68/27.13 tff(29712,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB194))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29713,plain,
% 40.68/27.13 ($false),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29712, 11110, 29711])).
% 40.68/27.13 tff(29714,plain,(~v18(constB194)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.13 tff(29715,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29716,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29717,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 40.68/27.13 tff(29718,plain,
% 40.68/27.13 (v22(constB194)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29717, 11120, 26448])).
% 40.68/27.13 tff(29719,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB194)) | (~v22(constB194)) | v18(constB194))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB194)) | (~v22(constB194)) | v18(constB194))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29720,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB194)) | (~v22(constB194)) | v18(constB194))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29721,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB194)) | (~v22(constB194)) | v18(constB194)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29720, 29719])).
% 40.68/27.13 tff(29722,plain,
% 40.68/27.13 ((~v19(constB194)) | v18(constB194)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29721, 11134, 29718])).
% 40.68/27.13 tff(29723,plain,
% 40.68/27.13 (~v19(constB194)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29722, 29714])).
% 40.68/27.13 tff(29724,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29725,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29726,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29725, 29724])).
% 40.68/27.13 tff(29727,plain,
% 40.68/27.13 (v13(constB194)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29726, 11149, 29723])).
% 40.68/27.13 tff(29728,plain,
% 40.68/27.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29729,plain,
% 40.68/27.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29730,plain,
% 40.68/27.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29729, 29728])).
% 40.68/27.13 tff(29731,plain,
% 40.68/27.13 ((~v13(constB194)) | v9(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29730, 11163, 26428])).
% 40.68/27.13 tff(29732,plain,
% 40.68/27.13 (v9(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29731, 29727])).
% 40.68/27.13 tff(29733,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v184(constB193))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB193) | (~v9(constB193)) | v184(constB193))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29734,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v184(constB193))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29735,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB193) | (~v9(constB193)) | v184(constB193)),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29734, 29733])).
% 40.68/27.13 tff(29736,plain,
% 40.68/27.13 ((~v9(constB193)) | v184(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29735, 11178, 26312])).
% 40.68/27.13 tff(29737,plain,
% 40.68/27.13 (v184(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29736, 29732])).
% 40.68/27.13 tff(29738,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB193) | (~v184(constB193)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB193) | (~v184(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29739,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB193) | (~v184(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29740,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB193) | (~v184(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29739, 29738])).
% 40.68/27.13 tff(29741,plain,
% 40.68/27.13 (v183(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29740, 11190, 29737])).
% 40.68/27.13 tff(29742,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB193)) | (~v183(constB193)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB193)) | (~v183(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29743,plain,
% 40.68/27.13 (((~v183(constB193)) | (~v181(constB193))) <=> ((~v181(constB193)) | (~v183(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29744,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB193)) | (~v181(constB193)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB193)) | (~v183(constB193))))),
% 40.68/27.13 inference(monotonicity,[status(thm)],[29743])).
% 40.68/27.13 tff(29745,plain,
% 40.68/27.13 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB193)) | (~v181(constB193)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB193)) | (~v183(constB193)))),
% 40.68/27.13 inference(transitivity,[status(thm)],[29744, 29742])).
% 40.68/27.13 tff(29746,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB193)) | (~v181(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29747,plain,
% 40.68/27.13 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB193)) | (~v183(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29746, 29745])).
% 40.68/27.13 tff(29748,plain,
% 40.68/27.13 (~v181(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29747, 11201, 29741])).
% 40.68/27.13 tff(29749,plain,
% 40.68/27.13 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB193) | v185(constB193) | (~v178(constB193)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB193) | v185(constB193) | (~v178(constB193)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29750,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB193) | v185(constB193) | (~v178(constB193)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29751,plain,
% 40.68/27.13 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB193) | v185(constB193) | (~v178(constB193))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29750, 29749])).
% 40.68/27.13 tff(29752,plain,
% 40.68/27.13 (v185(constB193) | (~v178(constB193))),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29751, 11215, 29748])).
% 40.68/27.13 tff(29753,plain,
% 40.68/27.13 (~v178(constB193)),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29752, 29710])).
% 40.68/27.13 tff(29754,plain,
% 40.68/27.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194)))),
% 40.68/27.13 inference(rewrite,[status(thm)],[])).
% 40.68/27.13 tff(29755,plain,
% 40.68/27.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194)))),
% 40.68/27.13 inference(quant_inst,[status(thm)],[])).
% 40.68/27.13 tff(29756,plain,
% 40.68/27.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194))),
% 40.68/27.13 inference(modus_ponens,[status(thm)],[29755, 29754])).
% 40.68/27.13 tff(29757,plain,
% 40.68/27.13 (v178(constB193) | (~v180(constB194))),
% 40.68/27.13 inference(unit_resolution,[status(thm)],[29756, 11230, 26428])).
% 40.68/27.14 tff(29758,plain,
% 40.68/27.14 (~v180(constB194)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29757, 29753])).
% 40.68/27.14 tff(29759,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB194) | (~v181(constB194)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB194) | (~v181(constB194)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29760,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB194) | (~v181(constB194)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29761,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB194) | (~v181(constB194))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29760, 29759])).
% 40.68/27.14 tff(29762,plain,
% 40.68/27.14 (~v181(constB194)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29761, 11242, 29758])).
% 40.68/27.14 tff(29763,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB194)) | (~v184(constB194)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB194)) | (~v184(constB194)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29764,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB194)) | (~v184(constB194)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29765,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB194)) | (~v184(constB194))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29764, 29763])).
% 40.68/27.14 tff(29766,plain,
% 40.68/27.14 (~v184(constB194)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29765, 11253, 26448])).
% 40.68/27.14 tff(29767,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB194) | (~v187(constB194)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB194) | (~v187(constB194)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29768,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB194) | (~v187(constB194)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29769,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB194) | (~v187(constB194))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29768, 29767])).
% 40.68/27.14 tff(29770,plain,
% 40.68/27.14 (~v187(constB194)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29769, 11264, 29766])).
% 40.68/27.14 tff(29771,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB194) | (~v185(constB194)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB194) | (~v185(constB194)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29772,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB194) | (~v185(constB194)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29773,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB194) | (~v185(constB194))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29772, 29771])).
% 40.68/27.14 tff(29774,plain,
% 40.68/27.14 (~v185(constB194)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29773, 11098, 29770])).
% 40.68/27.14 tff(29775,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB194) | v185(constB194) | (~v178(constB194)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB194) | v185(constB194) | (~v178(constB194)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29776,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB194) | v185(constB194) | (~v178(constB194)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29777,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB194) | v185(constB194) | (~v178(constB194))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29776, 29775])).
% 40.68/27.14 tff(29778,plain,
% 40.68/27.14 (v181(constB194) | (~v178(constB194))),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29777, 11215, 29774])).
% 40.68/27.14 tff(29779,plain,
% 40.68/27.14 (~v178(constB194)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29778, 29762])).
% 40.68/27.14 tff(29780,plain,
% 40.68/27.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29781,plain,
% 40.68/27.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29782,plain,
% 40.68/27.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29781, 29780])).
% 40.68/27.14 tff(29783,plain,
% 40.68/27.14 (v178(constB194) | (~v180(constB195))),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29782, 11230, 26520])).
% 40.68/27.14 tff(29784,plain,
% 40.68/27.14 (~v180(constB195)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29783, 29779])).
% 40.68/27.14 tff(29785,plain,
% 40.68/27.14 ($false),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29784, 29643])).
% 40.68/27.14 tff(29786,plain,((~(constB195 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.68/27.14 tff(29787,plain,
% 40.68/27.14 (~(constB195 = sK0_VarCurr)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29786, 10998])).
% 40.68/27.14 tff(29788,assumption,(constB200 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.14 tff(29789,plain,
% 40.68/27.14 (v1(constB200) <=> v1(sK0_VarCurr)),
% 40.68/27.14 inference(monotonicity,[status(thm)],[29788])).
% 40.68/27.14 tff(29790,plain,
% 40.68/27.14 (v1(sK0_VarCurr) <=> v1(constB200)),
% 40.68/27.14 inference(symmetry,[status(thm)],[29789])).
% 40.68/27.14 tff(29791,plain,
% 40.68/27.14 ((~v1(sK0_VarCurr)) <=> (~v1(constB200))),
% 40.68/27.14 inference(monotonicity,[status(thm)],[29790])).
% 40.68/27.14 tff(29792,plain,
% 40.68/27.14 (~v1(constB200)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[21332, 29791])).
% 40.68/27.14 tff(29793,plain,
% 40.68/27.14 (v1(constB200) <=> v1(constB200)),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29794,axiom,(v1(constB200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_200_1')).
% 40.68/27.14 tff(29795,plain,
% 40.68/27.14 (v1(constB200)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29794, 29793])).
% 40.68/27.14 tff(29796,plain,
% 40.68/27.14 ($false),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29795, 29792])).
% 40.68/27.14 tff(29797,plain,((~(constB200 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.14 tff(29798,plain,
% 40.68/27.14 (~(constB200 = sK0_VarCurr)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29797, 21327])).
% 40.68/27.14 tff(29799,assumption,(constB27 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.14 tff(29800,plain,
% 40.68/27.14 (v180(constB27) <=> v180(sK0_VarCurr)),
% 40.68/27.14 inference(monotonicity,[status(thm)],[29799])).
% 40.68/27.14 tff(29801,plain,
% 40.68/27.14 (v180(sK0_VarCurr) <=> v180(constB27)),
% 40.68/27.14 inference(symmetry,[status(thm)],[29800])).
% 40.68/27.14 tff(29802,plain,
% 40.68/27.14 (v180(constB27)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[11002, 29801])).
% 40.68/27.14 tff(29803,plain,
% 40.68/27.14 (((~![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)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29804,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29805,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29804, 29803])).
% 40.68/27.14 tff(29806,plain,
% 40.68/27.14 (~v88(constB25, bitIndex0)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29805, 14645, 3854])).
% 40.68/27.14 tff(29807,plain,
% 40.68/27.14 (((~![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))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29808,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29809,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29808, 29807])).
% 40.68/27.14 tff(29810,plain,
% 40.68/27.14 (v88(constB25, bitIndex2)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29809, 10566, 3789])).
% 40.68/27.14 tff(29811,plain,
% 40.68/27.14 (((~![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))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29812,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29813,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29812, 29811])).
% 40.68/27.14 tff(29814,plain,
% 40.68/27.14 (v88(constB25, bitIndex1)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29813, 21131, 3820])).
% 40.68/27.14 tff(29815,plain,
% 40.68/27.14 (((~![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))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29816,plain,
% 40.68/27.14 (((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25)) <=> (v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29817,plain,
% 40.68/27.14 (((~![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)))),
% 40.68/27.14 inference(monotonicity,[status(thm)],[29816])).
% 40.68/27.14 tff(29818,plain,
% 40.68/27.14 (((~![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))),
% 40.68/27.14 inference(transitivity,[status(thm)],[29817, 29815])).
% 40.68/27.14 tff(29819,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29820,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29819, 29818])).
% 40.68/27.14 tff(29821,plain,
% 40.68/27.14 (v144(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29820, 21145, 29814, 29810, 29806])).
% 40.68/27.14 tff(29822,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB25) | (~v144(constB25)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB25) | (~v144(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29823,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB25) | (~v144(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29824,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB25) | (~v144(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29823, 29822])).
% 40.68/27.14 tff(29825,plain,
% 40.68/27.14 (v142(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29824, 21159, 29821])).
% 40.68/27.14 tff(29826,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB25) | (~v142(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29827,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB25) | (~v142(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29828,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB25) | (~v142(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29827, 29826])).
% 40.68/27.14 tff(29829,plain,
% 40.68/27.14 (v166(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29828, 21170, 29825])).
% 40.68/27.14 tff(29830,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB25) | (~v166(constB25)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB25) | (~v166(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29831,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB25) | (~v166(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29832,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB25) | (~v166(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29831, 29830])).
% 40.68/27.14 tff(29833,plain,
% 40.68/27.14 (v165(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29832, 21181, 29829])).
% 40.68/27.14 tff(29834,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB25, bitIndex1)) | (~v139(constB25)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB25, bitIndex1)) | (~v139(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29835,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB25, bitIndex1)) | (~v139(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29836,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB25, bitIndex1)) | (~v139(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29835, 29834])).
% 40.68/27.14 tff(29837,plain,
% 40.68/27.14 (~v139(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29836, 21192, 29814])).
% 40.68/27.14 tff(29838,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB25, bitIndex1)) | (~v140(constB25)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB25, bitIndex1)) | (~v140(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29839,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB25, bitIndex1)) | (~v140(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29840,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB25, bitIndex1)) | (~v140(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29839, 29838])).
% 40.68/27.14 tff(29841,plain,
% 40.68/27.14 (~v140(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29840, 21203, 29814])).
% 40.68/27.14 tff(29842,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v170(constB25)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB25) | v139(constB25) | (~v170(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29843,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v170(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29844,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB25) | v139(constB25) | (~v170(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29843, 29842])).
% 40.68/27.14 tff(29845,plain,
% 40.68/27.14 (~v170(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29844, 10647, 29841, 29837])).
% 40.68/27.14 tff(29846,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB25, bitIndex2)) | (~v141(constB25)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB25, bitIndex2)) | (~v141(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29847,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB25, bitIndex2)) | (~v141(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29848,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB25, bitIndex2)) | (~v141(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29847, 29846])).
% 40.68/27.14 tff(29849,plain,
% 40.68/27.14 (~v141(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29848, 10658, 29810])).
% 40.68/27.14 tff(29850,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB25) | v170(constB25) | (~v169(constB25)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB25) | v170(constB25) | (~v169(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29851,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB25) | v170(constB25) | (~v169(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29852,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB25) | v170(constB25) | (~v169(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29851, 29850])).
% 40.68/27.14 tff(29853,plain,
% 40.68/27.14 (~v169(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29852, 11040, 29849, 29845])).
% 40.68/27.14 tff(29854,plain,
% 40.68/27.14 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB25)) | v169(constB25) | (~v165(constB25)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB25)) | v169(constB25) | (~v165(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29855,plain,
% 40.68/27.14 (((~v165(constB25)) | v169(constB25) | (~v162(constB25))) <=> ((~v162(constB25)) | v169(constB25) | (~v165(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29856,plain,
% 40.68/27.14 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB25)) | v169(constB25) | (~v162(constB25)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB25)) | v169(constB25) | (~v165(constB25))))),
% 40.68/27.14 inference(monotonicity,[status(thm)],[29855])).
% 40.68/27.14 tff(29857,plain,
% 40.68/27.14 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB25)) | v169(constB25) | (~v162(constB25)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB25)) | v169(constB25) | (~v165(constB25)))),
% 40.68/27.14 inference(transitivity,[status(thm)],[29856, 29854])).
% 40.68/27.14 tff(29858,plain,
% 40.68/27.14 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB25)) | v169(constB25) | (~v162(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29859,plain,
% 40.68/27.14 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB25)) | v169(constB25) | (~v165(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29858, 29857])).
% 40.68/27.14 tff(29860,plain,
% 40.68/27.14 ((~v162(constB25)) | (~v165(constB25))),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29859, 11073, 29853])).
% 40.68/27.14 tff(29861,plain,
% 40.68/27.14 (~v162(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29860, 29833])).
% 40.68/27.14 tff(29862,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB25) | (~v187(constB25)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB25) | (~v187(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29863,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB25) | (~v187(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29864,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB25) | (~v187(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29863, 29862])).
% 40.68/27.14 tff(29865,plain,
% 40.68/27.14 (~v187(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29864, 11087, 29861])).
% 40.68/27.14 tff(29866,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB25) | (~v185(constB25)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB25) | (~v185(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29867,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB25) | (~v185(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29868,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB25) | (~v185(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29867, 29866])).
% 40.68/27.14 tff(29869,plain,
% 40.68/27.14 (~v185(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29868, 11098, 29865])).
% 40.68/27.14 tff(29870,assumption,(v18(constB26)), introduced(assumption)).
% 40.68/27.14 tff(29871,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB26))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29872,plain,
% 40.68/27.14 ($false),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29871, 11110, 29870])).
% 40.68/27.14 tff(29873,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.14 tff(29874,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29875,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29876,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29875, 29874])).
% 40.68/27.14 tff(29877,plain,
% 40.68/27.14 (v22(constB26)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29876, 11120, 3901])).
% 40.68/27.14 tff(29878,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB26)) | (~v22(constB26)) | v18(constB26))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB26)) | (~v22(constB26)) | v18(constB26))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29879,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB26)) | (~v22(constB26)) | v18(constB26))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29880,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB26)) | (~v22(constB26)) | v18(constB26)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 40.68/27.14 tff(29881,plain,
% 40.68/27.14 ((~v19(constB26)) | v18(constB26)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29880, 11134, 29877])).
% 40.68/27.14 tff(29882,plain,
% 40.68/27.14 (~v19(constB26)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29881, 29873])).
% 40.68/27.14 tff(29883,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29884,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29885,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29884, 29883])).
% 40.68/27.14 tff(29886,plain,
% 40.68/27.14 (v13(constB26)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29885, 11149, 29882])).
% 40.68/27.14 tff(29887,plain,
% 40.68/27.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29888,plain,
% 40.68/27.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29889,plain,
% 40.68/27.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29888, 29887])).
% 40.68/27.14 tff(29890,plain,
% 40.68/27.14 ((~v13(constB26)) | v9(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29889, 11163, 3881])).
% 40.68/27.14 tff(29891,plain,
% 40.68/27.14 (v9(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29890, 29886])).
% 40.68/27.14 tff(29892,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v184(constB25))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB25) | (~v9(constB25)) | v184(constB25))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29893,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v184(constB25))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29894,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB25) | (~v9(constB25)) | v184(constB25)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29893, 29892])).
% 40.68/27.14 tff(29895,plain,
% 40.68/27.14 ((~v9(constB25)) | v184(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29894, 11178, 3765])).
% 40.68/27.14 tff(29896,plain,
% 40.68/27.14 (v184(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29895, 29891])).
% 40.68/27.14 tff(29897,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB25) | (~v184(constB25)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB25) | (~v184(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29898,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB25) | (~v184(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29899,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB25) | (~v184(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29898, 29897])).
% 40.68/27.14 tff(29900,plain,
% 40.68/27.14 (v183(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29899, 11190, 29896])).
% 40.68/27.14 tff(29901,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB25)) | (~v181(constB25)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB25)) | (~v181(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29902,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB25)) | (~v181(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29903,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB25)) | (~v181(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29902, 29901])).
% 40.68/27.14 tff(29904,plain,
% 40.68/27.14 (~v181(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29903, 11201, 29900])).
% 40.68/27.14 tff(29905,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB25) | v185(constB25) | (~v178(constB25)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB25) | v185(constB25) | (~v178(constB25)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29906,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB25) | v185(constB25) | (~v178(constB25)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29907,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB25) | v185(constB25) | (~v178(constB25))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29906, 29905])).
% 40.68/27.14 tff(29908,plain,
% 40.68/27.14 (v185(constB25) | (~v178(constB25))),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29907, 11215, 29904])).
% 40.68/27.14 tff(29909,plain,
% 40.68/27.14 (~v178(constB25)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29908, 29869])).
% 40.68/27.14 tff(29910,plain,
% 40.68/27.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29911,plain,
% 40.68/27.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29912,plain,
% 40.68/27.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29911, 29910])).
% 40.68/27.14 tff(29913,plain,
% 40.68/27.14 (v178(constB25) | (~v180(constB26))),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29912, 11230, 3881])).
% 40.68/27.14 tff(29914,plain,
% 40.68/27.14 (~v180(constB26)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29913, 29909])).
% 40.68/27.14 tff(29915,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB26) | (~v181(constB26)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB26) | (~v181(constB26)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29916,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB26) | (~v181(constB26)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29917,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB26) | (~v181(constB26))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29916, 29915])).
% 40.68/27.14 tff(29918,plain,
% 40.68/27.14 (~v181(constB26)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29917, 11242, 29914])).
% 40.68/27.14 tff(29919,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB26)) | (~v184(constB26)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB26)) | (~v184(constB26)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29920,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB26)) | (~v184(constB26)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29921,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB26)) | (~v184(constB26))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29920, 29919])).
% 40.68/27.14 tff(29922,plain,
% 40.68/27.14 (~v184(constB26)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29921, 11253, 3901])).
% 40.68/27.14 tff(29923,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB26) | (~v187(constB26)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB26) | (~v187(constB26)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29924,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB26) | (~v187(constB26)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29925,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB26) | (~v187(constB26))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29924, 29923])).
% 40.68/27.14 tff(29926,plain,
% 40.68/27.14 (~v187(constB26)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29925, 11264, 29922])).
% 40.68/27.14 tff(29927,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB26) | (~v185(constB26)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB26) | (~v185(constB26)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29928,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB26) | (~v185(constB26)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29929,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB26) | (~v185(constB26))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29928, 29927])).
% 40.68/27.14 tff(29930,plain,
% 40.68/27.14 (~v185(constB26)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29929, 11098, 29926])).
% 40.68/27.14 tff(29931,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB26) | v185(constB26) | (~v178(constB26)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB26) | v185(constB26) | (~v178(constB26)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29932,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB26) | v185(constB26) | (~v178(constB26)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29933,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB26) | v185(constB26) | (~v178(constB26))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29932, 29931])).
% 40.68/27.14 tff(29934,plain,
% 40.68/27.14 (v181(constB26) | (~v178(constB26))),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29933, 11215, 29930])).
% 40.68/27.14 tff(29935,plain,
% 40.68/27.14 (~v178(constB26)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29934, 29918])).
% 40.68/27.14 tff(29936,plain,
% 40.68/27.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29937,plain,
% 40.68/27.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29938,plain,
% 40.68/27.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29937, 29936])).
% 40.68/27.14 tff(29939,plain,
% 40.68/27.14 (v178(constB26) | (~v180(constB27))),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29938, 11230, 3973])).
% 40.68/27.14 tff(29940,plain,
% 40.68/27.14 (~v180(constB27)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29939, 29935])).
% 40.68/27.14 tff(29941,plain,
% 40.68/27.14 ($false),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29940, 29802])).
% 40.68/27.14 tff(29942,plain,((~(constB27 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.68/27.14 tff(29943,plain,
% 40.68/27.14 (~(constB27 = sK0_VarCurr)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29942, 10998])).
% 40.68/27.14 tff(29944,assumption,(constB47 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.14 tff(29945,plain,
% 40.68/27.14 (v86(constB47) <=> v86(sK0_VarCurr)),
% 40.68/27.14 inference(monotonicity,[status(thm)],[29944])).
% 40.68/27.14 tff(29946,plain,
% 40.68/27.14 (v86(sK0_VarCurr) <=> v86(constB47)),
% 40.68/27.14 inference(symmetry,[status(thm)],[29945])).
% 40.68/27.14 tff(29947,plain,
% 40.68/27.14 ((~v86(sK0_VarCurr)) <=> (~v86(constB47))),
% 40.68/27.14 inference(monotonicity,[status(thm)],[29946])).
% 40.68/27.14 tff(29948,plain,
% 40.68/27.14 (~v86(constB47)),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[77, 29947])).
% 40.68/27.14 tff(29949,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB47) | v170(constB47) | (~v167(constB47)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB47) | v170(constB47) | (~v167(constB47)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29950,plain,
% 40.68/27.14 ((v141(constB47) | (~v167(constB47)) | v170(constB47)) <=> (v141(constB47) | v170(constB47) | (~v167(constB47)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29951,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB47) | (~v167(constB47)) | v170(constB47))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB47) | v170(constB47) | (~v167(constB47))))),
% 40.68/27.14 inference(monotonicity,[status(thm)],[29950])).
% 40.68/27.14 tff(29952,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB47) | (~v167(constB47)) | v170(constB47))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB47) | v170(constB47) | (~v167(constB47)))),
% 40.68/27.14 inference(transitivity,[status(thm)],[29951, 29949])).
% 40.68/27.14 tff(29953,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB47) | (~v167(constB47)) | v170(constB47))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29954,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB47) | v170(constB47) | (~v167(constB47))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29953, 29952])).
% 40.68/27.14 tff(29955,plain,
% 40.68/27.14 (~v167(constB47)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29954, 10672, 11030, 11026])).
% 40.68/27.14 tff(29956,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB47)) | (~v88(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB47)) | (~v88(constB47, bitIndex0)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29957,plain,
% 40.68/27.14 (((~v88(constB47, bitIndex0)) | (~v143(constB47))) <=> ((~v143(constB47)) | (~v88(constB47, bitIndex0)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29958,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v143(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB47)) | (~v88(constB47, bitIndex0))))),
% 40.68/27.14 inference(monotonicity,[status(thm)],[29957])).
% 40.68/27.14 tff(29959,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v143(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB47)) | (~v88(constB47, bitIndex0)))),
% 40.68/27.14 inference(transitivity,[status(thm)],[29958, 29956])).
% 40.68/27.14 tff(29960,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v143(constB47)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29961,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB47)) | (~v88(constB47, bitIndex0))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29960, 29959])).
% 40.68/27.14 tff(29962,plain,
% 40.68/27.14 (~v143(constB47)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29961, 10686, 11015])).
% 40.68/27.14 tff(29963,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB47)) | (~v88(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB47)) | (~v88(constB47, bitIndex0)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29964,plain,
% 40.68/27.14 (((~v88(constB47, bitIndex0)) | (~v144(constB47))) <=> ((~v144(constB47)) | (~v88(constB47, bitIndex0)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29965,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v144(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB47)) | (~v88(constB47, bitIndex0))))),
% 40.68/27.14 inference(monotonicity,[status(thm)],[29964])).
% 40.68/27.14 tff(29966,plain,
% 40.68/27.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v144(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB47)) | (~v88(constB47, bitIndex0)))),
% 40.68/27.14 inference(transitivity,[status(thm)],[29965, 29963])).
% 40.68/27.14 tff(29967,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v144(constB47)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29968,plain,
% 40.68/27.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB47)) | (~v88(constB47, bitIndex0))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29967, 29966])).
% 40.68/27.14 tff(29969,plain,
% 40.68/27.14 (~v144(constB47)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29968, 10697, 11015])).
% 40.68/27.14 tff(29970,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB47) | v144(constB47) | (~v142(constB47)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB47) | v144(constB47) | (~v142(constB47)))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29971,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB47) | v144(constB47) | (~v142(constB47)))),
% 40.68/27.14 inference(quant_inst,[status(thm)],[])).
% 40.68/27.14 tff(29972,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB47) | v144(constB47) | (~v142(constB47))),
% 40.68/27.14 inference(modus_ponens,[status(thm)],[29971, 29970])).
% 40.68/27.14 tff(29973,plain,
% 40.68/27.14 (~v142(constB47)),
% 40.68/27.14 inference(unit_resolution,[status(thm)],[29972, 10711, 29969, 29962])).
% 40.68/27.14 tff(29974,plain,
% 40.68/27.14 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB47) | (~v166(constB47)) | v167(constB47))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB47) | (~v166(constB47)) | v167(constB47))),
% 40.68/27.14 inference(rewrite,[status(thm)],[])).
% 40.68/27.14 tff(29975,plain,
% 40.68/27.14 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB47) | (~v166(constB47)) | v167(constB47))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(29976,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB47) | (~v166(constB47)) | v167(constB47)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[29975, 29974])).
% 40.68/27.15 tff(29977,plain,
% 40.68/27.15 (~v166(constB47)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[29976, 10725, 29973, 29955])).
% 40.68/27.15 tff(29978,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB47) | v166(constB47))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB47) | v166(constB47))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(29979,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB47) | v166(constB47))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(29980,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB47) | v166(constB47)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[29979, 29978])).
% 40.68/27.15 tff(29981,plain,
% 40.68/27.15 (v148(constB47)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[29980, 10739, 29977])).
% 40.68/27.15 tff(29982,plain,
% 40.68/27.15 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB47) | (~v148(constB47)) | (~v165(constB47)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB47) | (~v148(constB47)) | (~v165(constB47)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(29983,plain,
% 40.68/27.15 (((~v148(constB47)) | (~v165(constB47)) | v86(constB47)) <=> (v86(constB47) | (~v148(constB47)) | (~v165(constB47)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(29984,plain,
% 40.68/27.15 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB47)) | (~v165(constB47)) | v86(constB47))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB47) | (~v148(constB47)) | (~v165(constB47))))),
% 40.68/27.15 inference(monotonicity,[status(thm)],[29983])).
% 40.68/27.15 tff(29985,plain,
% 40.68/27.15 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB47)) | (~v165(constB47)) | v86(constB47))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB47) | (~v148(constB47)) | (~v165(constB47)))),
% 40.68/27.15 inference(transitivity,[status(thm)],[29984, 29982])).
% 40.68/27.15 tff(29986,plain,
% 40.68/27.15 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB47)) | (~v165(constB47)) | v86(constB47))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(29987,plain,
% 40.68/27.15 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB47) | (~v148(constB47)) | (~v165(constB47))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[29986, 29985])).
% 40.68/27.15 tff(29988,plain,
% 40.68/27.15 (v86(constB47) | (~v148(constB47))),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[29987, 10837, 11063])).
% 40.68/27.15 tff(29989,plain,
% 40.68/27.15 (v86(constB47)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[29988, 29981])).
% 40.68/27.15 tff(29990,plain,
% 40.68/27.15 ($false),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[29989, 29948])).
% 40.68/27.15 tff(29991,plain,((~(constB47 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.15 tff(29992,plain,
% 40.68/27.15 (~(constB47 = sK0_VarCurr)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[29991, 72])).
% 40.68/27.15 tff(29993,assumption,(constB73 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.15 tff(29994,plain,
% 40.68/27.15 (v180(constB73) <=> v180(sK0_VarCurr)),
% 40.68/27.15 inference(monotonicity,[status(thm)],[29993])).
% 40.68/27.15 tff(29995,plain,
% 40.68/27.15 (v180(sK0_VarCurr) <=> v180(constB73)),
% 40.68/27.15 inference(symmetry,[status(thm)],[29994])).
% 40.68/27.15 tff(29996,plain,
% 40.68/27.15 (v180(constB73)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[11002, 29995])).
% 40.68/27.15 tff(29997,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB71) | v170(constB71) | (~v169(constB71)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB71) | v170(constB71) | (~v169(constB71)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(29998,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB71) | v170(constB71) | (~v169(constB71)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(29999,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB71) | v170(constB71) | (~v169(constB71))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[29998, 29997])).
% 40.68/27.15 tff(30000,plain,
% 40.68/27.15 (~v169(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[29999, 11040, 15232, 15228])).
% 40.68/27.15 tff(30001,plain,
% 40.68/27.15 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB71)) | v169(constB71) | (~v165(constB71)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB71)) | v169(constB71) | (~v165(constB71)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30002,plain,
% 40.68/27.15 (((~v165(constB71)) | v169(constB71) | (~v162(constB71))) <=> ((~v162(constB71)) | v169(constB71) | (~v165(constB71)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30003,plain,
% 40.68/27.15 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB71)) | v169(constB71) | (~v162(constB71)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB71)) | v169(constB71) | (~v165(constB71))))),
% 40.68/27.15 inference(monotonicity,[status(thm)],[30002])).
% 40.68/27.15 tff(30004,plain,
% 40.68/27.15 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB71)) | v169(constB71) | (~v162(constB71)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB71)) | v169(constB71) | (~v165(constB71)))),
% 40.68/27.15 inference(transitivity,[status(thm)],[30003, 30001])).
% 40.68/27.15 tff(30005,plain,
% 40.68/27.15 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB71)) | v169(constB71) | (~v162(constB71)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30006,plain,
% 40.68/27.15 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB71)) | v169(constB71) | (~v165(constB71))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30005, 30004])).
% 40.68/27.15 tff(30007,plain,
% 40.68/27.15 (~v162(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30006, 11073, 15281, 30000])).
% 40.68/27.15 tff(30008,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB71) | (~v187(constB71)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB71) | (~v187(constB71)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30009,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB71) | (~v187(constB71)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30010,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB71) | (~v187(constB71))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30009, 30008])).
% 40.68/27.15 tff(30011,plain,
% 40.68/27.15 (~v187(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30010, 11087, 30007])).
% 40.68/27.15 tff(30012,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB71) | (~v185(constB71)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB71) | (~v185(constB71)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30013,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB71) | (~v185(constB71)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30014,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB71) | (~v185(constB71))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30013, 30012])).
% 40.68/27.15 tff(30015,plain,
% 40.68/27.15 (~v185(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30014, 11098, 30011])).
% 40.68/27.15 tff(30016,assumption,(v18(constB72)), introduced(assumption)).
% 40.68/27.15 tff(30017,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB72))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30018,plain,
% 40.68/27.15 ($false),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30017, 11110, 30016])).
% 40.68/27.15 tff(30019,plain,(~v18(constB72)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.15 tff(30020,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30021,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30022,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30021, 30020])).
% 40.68/27.15 tff(30023,plain,
% 40.68/27.15 (v22(constB72)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30022, 11120, 9499])).
% 40.68/27.15 tff(30024,plain,
% 40.68/27.15 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB72)) | (~v22(constB72)) | v18(constB72))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB72)) | (~v22(constB72)) | v18(constB72))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30025,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB72)) | (~v22(constB72)) | v18(constB72))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30026,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB72)) | (~v22(constB72)) | v18(constB72)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30025, 30024])).
% 40.68/27.15 tff(30027,plain,
% 40.68/27.15 ((~v19(constB72)) | v18(constB72)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30026, 11134, 30023])).
% 40.68/27.15 tff(30028,plain,
% 40.68/27.15 (~v19(constB72)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30027, 30019])).
% 40.68/27.15 tff(30029,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30030,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30031,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30030, 30029])).
% 40.68/27.15 tff(30032,plain,
% 40.68/27.15 (v13(constB72)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30031, 11149, 30028])).
% 40.68/27.15 tff(30033,plain,
% 40.68/27.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30034,plain,
% 40.68/27.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30035,plain,
% 40.68/27.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30034, 30033])).
% 40.68/27.15 tff(30036,plain,
% 40.68/27.15 ((~v13(constB72)) | v9(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30035, 11163, 9479])).
% 40.68/27.15 tff(30037,plain,
% 40.68/27.15 (v9(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30036, 30032])).
% 40.68/27.15 tff(30038,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v184(constB71))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB71) | (~v9(constB71)) | v184(constB71))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30039,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v184(constB71))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30040,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB71) | (~v9(constB71)) | v184(constB71)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30039, 30038])).
% 40.68/27.15 tff(30041,plain,
% 40.68/27.15 ((~v9(constB71)) | v184(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30040, 11178, 9362])).
% 40.68/27.15 tff(30042,plain,
% 40.68/27.15 (v184(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30041, 30037])).
% 40.68/27.15 tff(30043,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB71) | (~v184(constB71)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB71) | (~v184(constB71)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30044,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB71) | (~v184(constB71)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30045,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB71) | (~v184(constB71))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30044, 30043])).
% 40.68/27.15 tff(30046,plain,
% 40.68/27.15 (v183(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30045, 11190, 30042])).
% 40.68/27.15 tff(30047,plain,
% 40.68/27.15 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB71)) | (~v181(constB71)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB71)) | (~v181(constB71)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30048,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB71)) | (~v181(constB71)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30049,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB71)) | (~v181(constB71))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30048, 30047])).
% 40.68/27.15 tff(30050,plain,
% 40.68/27.15 (~v181(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30049, 11201, 30046])).
% 40.68/27.15 tff(30051,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB71) | v185(constB71) | (~v178(constB71)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB71) | v185(constB71) | (~v178(constB71)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30052,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB71) | v185(constB71) | (~v178(constB71)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30053,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB71) | v185(constB71) | (~v178(constB71))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30052, 30051])).
% 40.68/27.15 tff(30054,plain,
% 40.68/27.15 (v185(constB71) | (~v178(constB71))),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30053, 11215, 30050])).
% 40.68/27.15 tff(30055,plain,
% 40.68/27.15 (~v178(constB71)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30054, 30015])).
% 40.68/27.15 tff(30056,plain,
% 40.68/27.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30057,plain,
% 40.68/27.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30058,plain,
% 40.68/27.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30057, 30056])).
% 40.68/27.15 tff(30059,plain,
% 40.68/27.15 (v178(constB71) | (~v180(constB72))),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30058, 11230, 9479])).
% 40.68/27.15 tff(30060,plain,
% 40.68/27.15 (~v180(constB72)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30059, 30055])).
% 40.68/27.15 tff(30061,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB72) | (~v181(constB72)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB72) | (~v181(constB72)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30062,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB72) | (~v181(constB72)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30063,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB72) | (~v181(constB72))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30062, 30061])).
% 40.68/27.15 tff(30064,plain,
% 40.68/27.15 (~v181(constB72)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30063, 11242, 30060])).
% 40.68/27.15 tff(30065,plain,
% 40.68/27.15 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB72)) | (~v184(constB72)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB72)) | (~v184(constB72)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30066,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB72)) | (~v184(constB72)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30067,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB72)) | (~v184(constB72))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30066, 30065])).
% 40.68/27.15 tff(30068,plain,
% 40.68/27.15 (~v184(constB72)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30067, 11253, 9499])).
% 40.68/27.15 tff(30069,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB72) | (~v187(constB72)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB72) | (~v187(constB72)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30070,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB72) | (~v187(constB72)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30071,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB72) | (~v187(constB72))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30070, 30069])).
% 40.68/27.15 tff(30072,plain,
% 40.68/27.15 (~v187(constB72)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30071, 11264, 30068])).
% 40.68/27.15 tff(30073,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB72) | (~v185(constB72)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB72) | (~v185(constB72)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30074,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB72) | (~v185(constB72)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30075,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB72) | (~v185(constB72))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30074, 30073])).
% 40.68/27.15 tff(30076,plain,
% 40.68/27.15 (~v185(constB72)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30075, 11098, 30072])).
% 40.68/27.15 tff(30077,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB72) | v185(constB72) | (~v178(constB72)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB72) | v185(constB72) | (~v178(constB72)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30078,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB72) | v185(constB72) | (~v178(constB72)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30079,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB72) | v185(constB72) | (~v178(constB72))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30078, 30077])).
% 40.68/27.15 tff(30080,plain,
% 40.68/27.15 (v181(constB72) | (~v178(constB72))),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30079, 11215, 30076])).
% 40.68/27.15 tff(30081,plain,
% 40.68/27.15 (~v178(constB72)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30080, 30064])).
% 40.68/27.15 tff(30082,plain,
% 40.68/27.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30083,plain,
% 40.68/27.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30084,plain,
% 40.68/27.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30083, 30082])).
% 40.68/27.15 tff(30085,plain,
% 40.68/27.15 (v178(constB72) | (~v180(constB73))),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30084, 11230, 9541])).
% 40.68/27.15 tff(30086,plain,
% 40.68/27.15 (~v180(constB73)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30085, 30081])).
% 40.68/27.15 tff(30087,plain,
% 40.68/27.15 ($false),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30086, 29996])).
% 40.68/27.15 tff(30088,plain,((~(constB73 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.68/27.15 tff(30089,plain,
% 40.68/27.15 (~(constB73 = sK0_VarCurr)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30088, 10998])).
% 40.68/27.15 tff(30090,assumption,(constB42 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.15 tff(30091,plain,
% 40.68/27.15 (v1(constB42) <=> v1(sK0_VarCurr)),
% 40.68/27.15 inference(monotonicity,[status(thm)],[30090])).
% 40.68/27.15 tff(30092,plain,
% 40.68/27.15 (v1(sK0_VarCurr) <=> v1(constB42)),
% 40.68/27.15 inference(symmetry,[status(thm)],[30091])).
% 40.68/27.15 tff(30093,plain,
% 40.68/27.15 ((~v1(sK0_VarCurr)) <=> (~v1(constB42))),
% 40.68/27.15 inference(monotonicity,[status(thm)],[30092])).
% 40.68/27.15 tff(30094,plain,
% 40.68/27.15 (~v1(constB42)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[21332, 30093])).
% 40.68/27.15 tff(30095,plain,
% 40.68/27.15 ($false),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[5875, 30094])).
% 40.68/27.15 tff(30096,plain,((~(constB42 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.15 tff(30097,plain,
% 40.68/27.15 (~(constB42 = sK0_VarCurr)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30096, 21327])).
% 40.68/27.15 tff(30098,assumption,(constB98 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.15 tff(30099,plain,
% 40.68/27.15 (v1(constB98) <=> v1(sK0_VarCurr)),
% 40.68/27.15 inference(monotonicity,[status(thm)],[30098])).
% 40.68/27.15 tff(30100,plain,
% 40.68/27.15 (v1(sK0_VarCurr) <=> v1(constB98)),
% 40.68/27.15 inference(symmetry,[status(thm)],[30099])).
% 40.68/27.15 tff(30101,plain,
% 40.68/27.15 ((~v1(sK0_VarCurr)) <=> (~v1(constB98))),
% 40.68/27.15 inference(monotonicity,[status(thm)],[30100])).
% 40.68/27.15 tff(30102,plain,
% 40.68/27.15 (~v1(constB98)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[21332, 30101])).
% 40.68/27.15 tff(30103,plain,
% 40.68/27.15 ($false),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[12761, 30102])).
% 40.68/27.15 tff(30104,plain,((~(constB98 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.15 tff(30105,plain,
% 40.68/27.15 (~(constB98 = sK0_VarCurr)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30104, 21327])).
% 40.68/27.15 tff(30106,assumption,(constB163 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.15 tff(30107,plain,
% 40.68/27.15 (v180(constB163) <=> v180(sK0_VarCurr)),
% 40.68/27.15 inference(monotonicity,[status(thm)],[30106])).
% 40.68/27.15 tff(30108,plain,
% 40.68/27.15 (v180(sK0_VarCurr) <=> v180(constB163)),
% 40.68/27.15 inference(symmetry,[status(thm)],[30107])).
% 40.68/27.15 tff(30109,plain,
% 40.68/27.15 (v180(constB163)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[11002, 30108])).
% 40.68/27.15 tff(30110,plain,
% 40.68/27.15 (v118(constB159)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20439, 778, 20435])).
% 40.68/27.15 tff(30111,plain,
% 40.68/27.15 (v117(constB159)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20443, 250, 30110])).
% 40.68/27.15 tff(30112,plain,
% 40.68/27.15 (v116(constB159)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20447, 261, 30111])).
% 40.68/27.15 tff(30113,plain,
% 40.68/27.15 (v115(constB159)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20451, 272, 30112])).
% 40.68/27.15 tff(30114,plain,
% 40.68/27.15 (v114(constB159)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20455, 283, 30113])).
% 40.68/27.15 tff(30115,plain,
% 40.68/27.15 (v113(constB159)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20459, 294, 30114])).
% 40.68/27.15 tff(30116,plain,
% 40.68/27.15 (v112(constB159)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20468, 30115])).
% 40.68/27.15 tff(30117,plain,
% 40.68/27.15 (v108(constB159)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20472, 320, 30116])).
% 40.68/27.15 tff(30118,plain,
% 40.68/27.15 (v110(constB160)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20483, 30117])).
% 40.68/27.15 tff(30119,plain,
% 40.68/27.15 (v100(constB160)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20509, 30118])).
% 40.68/27.15 tff(30120,plain,
% 40.68/27.15 (~v130(constB159, bitIndex2)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20513, 685, 20435])).
% 40.68/27.15 tff(30121,plain,
% 40.68/27.15 (~v127(constB159, bitIndex2)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20521, 30120])).
% 40.68/27.15 tff(30122,plain,
% 40.68/27.15 (~v129(constB160, bitIndex2)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20526, 30121])).
% 40.68/27.15 tff(30123,plain,
% 40.68/27.15 ((~v90(constB160, bitIndex2)) | (~v100(constB160))),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20533, 468, 30122])).
% 40.68/27.15 tff(30124,plain,
% 40.68/27.15 (~v90(constB160, bitIndex2)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30123, 30119])).
% 40.68/27.15 tff(30125,plain,
% 40.68/27.15 (~v90(constB161, bitIndex2)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20561, 30124])).
% 40.68/27.15 tff(30126,plain,
% 40.68/27.15 (((~![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)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30127,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB161, bitIndex2) | (~v88(constB161, bitIndex2)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30128,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB161, bitIndex2) | (~v88(constB161, bitIndex2))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30127, 30126])).
% 40.68/27.15 tff(30129,plain,
% 40.68/27.15 (~v88(constB161, bitIndex2)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30128, 22090, 30125])).
% 40.68/27.15 tff(30130,plain,
% 40.68/27.15 (~v130(constB159, bitIndex0)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20596, 930, 20435])).
% 40.68/27.15 tff(30131,plain,
% 40.68/27.15 (~v127(constB159, bitIndex0)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20604, 30130])).
% 40.68/27.15 tff(30132,plain,
% 40.68/27.15 (~v129(constB160, bitIndex0)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20609, 30131])).
% 40.68/27.15 tff(30133,plain,
% 40.68/27.15 ((~v90(constB160, bitIndex0)) | (~v100(constB160))),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20616, 977, 30132])).
% 40.68/27.15 tff(30134,plain,
% 40.68/27.15 (~v90(constB160, bitIndex0)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30133, 30119])).
% 40.68/27.15 tff(30135,plain,
% 40.68/27.15 (~v90(constB161, bitIndex0)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20626, 30134])).
% 40.68/27.15 tff(30136,plain,
% 40.68/27.15 (((~![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)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30137,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB161, bitIndex0) | (~v88(constB161, bitIndex0)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30138,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB161, bitIndex0) | (~v88(constB161, bitIndex0))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30137, 30136])).
% 40.68/27.15 tff(30139,plain,
% 40.68/27.15 (~v88(constB161, bitIndex0)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30138, 14645, 30135])).
% 40.68/27.15 tff(30140,plain,
% 40.68/27.15 (v130(constB159, bitIndex1)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20565, 868, 20435])).
% 40.68/27.15 tff(30141,plain,
% 40.68/27.15 (v127(constB159, bitIndex1)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20570, 30140])).
% 40.68/27.15 tff(30142,plain,
% 40.68/27.15 (v129(constB160, bitIndex1)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20575, 30141])).
% 40.68/27.15 tff(30143,plain,
% 40.68/27.15 (v90(constB160, bitIndex1) | (~v100(constB160))),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20582, 912, 30142])).
% 40.68/27.15 tff(30144,plain,
% 40.68/27.15 (v90(constB160, bitIndex1)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30143, 30119])).
% 40.68/27.15 tff(30145,plain,
% 40.68/27.15 (v90(constB161, bitIndex1)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[20592, 30144])).
% 40.68/27.15 tff(30146,plain,
% 40.68/27.15 (((~![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))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30147,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB161, bitIndex1)) | v88(constB161, bitIndex1))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30148,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB161, bitIndex1)) | v88(constB161, bitIndex1)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30147, 30146])).
% 40.68/27.15 tff(30149,plain,
% 40.68/27.15 (v88(constB161, bitIndex1)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30148, 21131, 30145])).
% 40.68/27.15 tff(30150,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex0) | v143(constB161))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex0) | v143(constB161))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30151,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex0) | v143(constB161))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30152,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex0) | v143(constB161)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30151, 30150])).
% 40.68/27.15 tff(30153,plain,
% 40.68/27.15 (v143(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30152, 22766, 30149, 30139, 30129])).
% 40.68/27.15 tff(30154,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB161) | (~v143(constB161)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB161) | (~v143(constB161)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30155,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB161) | (~v143(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30156,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB161) | (~v143(constB161))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30155, 30154])).
% 40.68/27.15 tff(30157,plain,
% 40.68/27.15 (v142(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30156, 22780, 30153])).
% 40.68/27.15 tff(30158,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB161) | (~v142(constB161)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB161) | (~v142(constB161)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30159,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB161) | (~v142(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30160,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB161) | (~v142(constB161))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30159, 30158])).
% 40.68/27.15 tff(30161,plain,
% 40.68/27.15 (v166(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30160, 21170, 30157])).
% 40.68/27.15 tff(30162,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB161) | (~v166(constB161)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB161) | (~v166(constB161)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30163,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB161) | (~v166(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30164,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB161) | (~v166(constB161))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30163, 30162])).
% 40.68/27.15 tff(30165,plain,
% 40.68/27.15 (v165(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30164, 21181, 30161])).
% 40.68/27.15 tff(30166,plain,
% 40.68/27.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB161, bitIndex1)) | (~v139(constB161)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB161, bitIndex1)) | (~v139(constB161)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30167,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB161, bitIndex1)) | (~v139(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30168,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB161, bitIndex1)) | (~v139(constB161))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30167, 30166])).
% 40.68/27.15 tff(30169,plain,
% 40.68/27.15 (~v139(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30168, 21192, 30149])).
% 40.68/27.15 tff(30170,plain,
% 40.68/27.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB161, bitIndex1)) | (~v140(constB161)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB161, bitIndex1)) | (~v140(constB161)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30171,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB161, bitIndex1)) | (~v140(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30172,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB161, bitIndex1)) | (~v140(constB161))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30171, 30170])).
% 40.68/27.15 tff(30173,plain,
% 40.68/27.15 (~v140(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30172, 21203, 30149])).
% 40.68/27.15 tff(30174,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB161) | v139(constB161) | (~v170(constB161)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB161) | v139(constB161) | (~v170(constB161)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30175,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB161) | v139(constB161) | (~v170(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30176,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB161) | v139(constB161) | (~v170(constB161))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30175, 30174])).
% 40.68/27.15 tff(30177,plain,
% 40.68/27.15 (~v170(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30176, 10647, 30173, 30169])).
% 40.68/27.15 tff(30178,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB161, bitIndex0) | (~v141(constB161)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB161, bitIndex0) | (~v141(constB161)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30179,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB161, bitIndex0) | (~v141(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30180,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB161, bitIndex0) | (~v141(constB161))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30179, 30178])).
% 40.68/27.15 tff(30181,plain,
% 40.68/27.15 (~v141(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30180, 22820, 30139])).
% 40.68/27.15 tff(30182,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB161) | v170(constB161) | (~v169(constB161)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB161) | v170(constB161) | (~v169(constB161)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30183,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB161) | v170(constB161) | (~v169(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30184,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB161) | v170(constB161) | (~v169(constB161))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30183, 30182])).
% 40.68/27.15 tff(30185,plain,
% 40.68/27.15 (~v169(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30184, 11040, 30181, 30177])).
% 40.68/27.15 tff(30186,plain,
% 40.68/27.15 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB161)) | (~v165(constB161)) | v169(constB161))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB161)) | (~v165(constB161)) | v169(constB161))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30187,plain,
% 40.68/27.15 (((~v165(constB161)) | v169(constB161) | (~v162(constB161))) <=> ((~v162(constB161)) | (~v165(constB161)) | v169(constB161))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30188,plain,
% 40.68/27.15 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB161)) | v169(constB161) | (~v162(constB161)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB161)) | (~v165(constB161)) | v169(constB161)))),
% 40.68/27.15 inference(monotonicity,[status(thm)],[30187])).
% 40.68/27.15 tff(30189,plain,
% 40.68/27.15 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB161)) | v169(constB161) | (~v162(constB161)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB161)) | (~v165(constB161)) | v169(constB161))),
% 40.68/27.15 inference(transitivity,[status(thm)],[30188, 30186])).
% 40.68/27.15 tff(30190,plain,
% 40.68/27.15 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB161)) | v169(constB161) | (~v162(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30191,plain,
% 40.68/27.15 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB161)) | (~v165(constB161)) | v169(constB161)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30190, 30189])).
% 40.68/27.15 tff(30192,plain,
% 40.68/27.15 ((~v162(constB161)) | (~v165(constB161))),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30191, 11073, 30185])).
% 40.68/27.15 tff(30193,plain,
% 40.68/27.15 (~v162(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30192, 30165])).
% 40.68/27.15 tff(30194,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB161) | (~v187(constB161)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB161) | (~v187(constB161)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30195,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB161) | (~v187(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30196,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB161) | (~v187(constB161))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30195, 30194])).
% 40.68/27.15 tff(30197,plain,
% 40.68/27.15 (~v187(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30196, 11087, 30193])).
% 40.68/27.15 tff(30198,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB161) | (~v185(constB161)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB161) | (~v185(constB161)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30199,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB161) | (~v185(constB161)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30200,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB161) | (~v185(constB161))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30199, 30198])).
% 40.68/27.15 tff(30201,plain,
% 40.68/27.15 (~v185(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30200, 11098, 30197])).
% 40.68/27.15 tff(30202,assumption,(v18(constB162)), introduced(assumption)).
% 40.68/27.15 tff(30203,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB162))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30204,plain,
% 40.68/27.15 ($false),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30203, 11110, 30202])).
% 40.68/27.15 tff(30205,plain,(~v18(constB162)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.15 tff(30206,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162)))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30207,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30208,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162))),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30207, 30206])).
% 40.68/27.15 tff(30209,plain,
% 40.68/27.15 (v22(constB162)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30208, 11120, 20694])).
% 40.68/27.15 tff(30210,plain,
% 40.68/27.15 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB162)) | (~v22(constB162)) | v18(constB162))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB162)) | (~v22(constB162)) | v18(constB162))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30211,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB162)) | (~v22(constB162)) | v18(constB162))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30212,plain,
% 40.68/27.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB162)) | (~v22(constB162)) | v18(constB162)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30211, 30210])).
% 40.68/27.15 tff(30213,plain,
% 40.68/27.15 ((~v19(constB162)) | v18(constB162)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30212, 11134, 30209])).
% 40.68/27.15 tff(30214,plain,
% 40.68/27.15 (~v19(constB162)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30213, 30205])).
% 40.68/27.15 tff(30215,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30216,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30217,plain,
% 40.68/27.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30216, 30215])).
% 40.68/27.15 tff(30218,plain,
% 40.68/27.15 (v13(constB162)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30217, 11149, 30214])).
% 40.68/27.15 tff(30219,plain,
% 40.68/27.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161))),
% 40.68/27.15 inference(rewrite,[status(thm)],[])).
% 40.68/27.15 tff(30220,plain,
% 40.68/27.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161))),
% 40.68/27.15 inference(quant_inst,[status(thm)],[])).
% 40.68/27.15 tff(30221,plain,
% 40.68/27.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161)),
% 40.68/27.15 inference(modus_ponens,[status(thm)],[30220, 30219])).
% 40.68/27.15 tff(30222,plain,
% 40.68/27.15 ((~v13(constB162)) | v9(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30221, 11163, 20674])).
% 40.68/27.15 tff(30223,plain,
% 40.68/27.15 (v9(constB161)),
% 40.68/27.15 inference(unit_resolution,[status(thm)],[30222, 30218])).
% 40.68/27.15 tff(30224,plain,
% 40.68/27.15 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v184(constB161))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB161) | (~v9(constB161)) | v184(constB161))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30225,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v184(constB161))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30226,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB161) | (~v9(constB161)) | v184(constB161)),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30225, 30224])).
% 40.68/27.16 tff(30227,plain,
% 40.68/27.16 ((~v9(constB161)) | v184(constB161)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30226, 11178, 20538])).
% 40.68/27.16 tff(30228,plain,
% 40.68/27.16 (v184(constB161)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30227, 30223])).
% 40.68/27.16 tff(30229,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB161) | (~v184(constB161)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB161) | (~v184(constB161)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30230,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB161) | (~v184(constB161)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30231,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB161) | (~v184(constB161))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30230, 30229])).
% 40.68/27.16 tff(30232,plain,
% 40.68/27.16 (v183(constB161)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30231, 11190, 30228])).
% 40.68/27.16 tff(30233,plain,
% 40.68/27.16 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB161)) | (~v181(constB161)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB161)) | (~v181(constB161)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30234,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB161)) | (~v181(constB161)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30235,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB161)) | (~v181(constB161))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30234, 30233])).
% 40.68/27.16 tff(30236,plain,
% 40.68/27.16 (~v181(constB161)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30235, 11201, 30232])).
% 40.68/27.16 tff(30237,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB161) | v185(constB161) | (~v178(constB161)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB161) | v185(constB161) | (~v178(constB161)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30238,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB161) | v185(constB161) | (~v178(constB161)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30239,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB161) | v185(constB161) | (~v178(constB161))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30238, 30237])).
% 40.68/27.16 tff(30240,plain,
% 40.68/27.16 (v185(constB161) | (~v178(constB161))),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30239, 11215, 30236])).
% 40.68/27.16 tff(30241,plain,
% 40.68/27.16 (~v178(constB161)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30240, 30201])).
% 40.68/27.16 tff(30242,plain,
% 40.68/27.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30243,plain,
% 40.68/27.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30244,plain,
% 40.68/27.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30243, 30242])).
% 40.68/27.16 tff(30245,plain,
% 40.68/27.16 (v178(constB161) | (~v180(constB162))),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30244, 11230, 20674])).
% 40.68/27.16 tff(30246,plain,
% 40.68/27.16 (~v180(constB162)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30245, 30241])).
% 40.68/27.16 tff(30247,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB162) | (~v181(constB162)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB162) | (~v181(constB162)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30248,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB162) | (~v181(constB162)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30249,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB162) | (~v181(constB162))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30248, 30247])).
% 40.68/27.16 tff(30250,plain,
% 40.68/27.16 (~v181(constB162)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30249, 11242, 30246])).
% 40.68/27.16 tff(30251,plain,
% 40.68/27.16 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB162)) | (~v184(constB162)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB162)) | (~v184(constB162)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30252,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB162)) | (~v184(constB162)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30253,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB162)) | (~v184(constB162))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30252, 30251])).
% 40.68/27.16 tff(30254,plain,
% 40.68/27.16 (~v184(constB162)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30253, 11253, 20694])).
% 40.68/27.16 tff(30255,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB162) | (~v187(constB162)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB162) | (~v187(constB162)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30256,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB162) | (~v187(constB162)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30257,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB162) | (~v187(constB162))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30256, 30255])).
% 40.68/27.16 tff(30258,plain,
% 40.68/27.16 (~v187(constB162)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30257, 11264, 30254])).
% 40.68/27.16 tff(30259,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB162) | (~v185(constB162)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB162) | (~v185(constB162)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30260,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB162) | (~v185(constB162)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30261,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB162) | (~v185(constB162))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30260, 30259])).
% 40.68/27.16 tff(30262,plain,
% 40.68/27.16 (~v185(constB162)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30261, 11098, 30258])).
% 40.68/27.16 tff(30263,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB162) | v185(constB162) | (~v178(constB162)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB162) | v185(constB162) | (~v178(constB162)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30264,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB162) | v185(constB162) | (~v178(constB162)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30265,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB162) | v185(constB162) | (~v178(constB162))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30264, 30263])).
% 40.68/27.16 tff(30266,plain,
% 40.68/27.16 (v181(constB162) | (~v178(constB162))),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30265, 11215, 30262])).
% 40.68/27.16 tff(30267,plain,
% 40.68/27.16 (~v178(constB162)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30266, 30250])).
% 40.68/27.16 tff(30268,plain,
% 40.68/27.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30269,plain,
% 40.68/27.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30270,plain,
% 40.68/27.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30269, 30268])).
% 40.68/27.16 tff(30271,plain,
% 40.68/27.16 (v178(constB162) | (~v180(constB163))),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30270, 11230, 20739])).
% 40.68/27.16 tff(30272,plain,
% 40.68/27.16 (~v180(constB163)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30271, 30267])).
% 40.68/27.16 tff(30273,plain,
% 40.68/27.16 ($false),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30272, 30109])).
% 40.68/27.16 tff(30274,plain,((~(constB163 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.68/27.16 tff(30275,plain,
% 40.68/27.16 (~(constB163 = sK0_VarCurr)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30274, 10998])).
% 40.68/27.16 tff(30276,assumption,(constB187 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.16 tff(30277,plain,
% 40.68/27.16 (v180(constB187) <=> v180(sK0_VarCurr)),
% 40.68/27.16 inference(monotonicity,[status(thm)],[30276])).
% 40.68/27.16 tff(30278,plain,
% 40.68/27.16 (v180(sK0_VarCurr) <=> v180(constB187)),
% 40.68/27.16 inference(symmetry,[status(thm)],[30277])).
% 40.68/27.16 tff(30279,plain,
% 40.68/27.16 (v180(constB187)),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[11002, 30278])).
% 40.68/27.16 tff(30280,plain,
% 40.68/27.16 (((~![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)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30281,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB185, bitIndex2) | (~v88(constB185, bitIndex2)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30282,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB185, bitIndex2) | (~v88(constB185, bitIndex2))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30281, 30280])).
% 40.68/27.16 tff(30283,plain,
% 40.68/27.16 (~v88(constB185, bitIndex2)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30282, 22090, 25133])).
% 40.68/27.16 tff(30284,plain,
% 40.68/27.16 (((~![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)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30285,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB185, bitIndex0) | (~v88(constB185, bitIndex0)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30286,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB185, bitIndex0) | (~v88(constB185, bitIndex0))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30285, 30284])).
% 40.68/27.16 tff(30287,plain,
% 40.68/27.16 (~v88(constB185, bitIndex0)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30286, 14645, 25198])).
% 40.68/27.16 tff(30288,plain,
% 40.68/27.16 (((~![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))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30289,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30290,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1)),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30289, 30288])).
% 40.68/27.16 tff(30291,plain,
% 40.68/27.16 (v88(constB185, bitIndex1)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30290, 21131, 25164])).
% 40.68/27.16 tff(30292,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30293,plain,
% 40.68/27.16 ((v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185)) <=> (v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30294,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185)))),
% 40.68/27.16 inference(monotonicity,[status(thm)],[30293])).
% 40.68/27.16 tff(30295,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185))),
% 40.68/27.16 inference(transitivity,[status(thm)],[30294, 30292])).
% 40.68/27.16 tff(30296,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30297,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185)),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30296, 30295])).
% 40.68/27.16 tff(30298,plain,
% 40.68/27.16 (v143(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30297, 22766, 30291, 30287, 30283])).
% 40.68/27.16 tff(30299,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB185) | (~v143(constB185)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB185) | (~v143(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30300,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB185) | (~v143(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30301,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB185) | (~v143(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30300, 30299])).
% 40.68/27.16 tff(30302,plain,
% 40.68/27.16 (v142(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30301, 22780, 30298])).
% 40.68/27.16 tff(30303,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB185) | (~v142(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30304,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB185) | (~v142(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30305,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB185) | (~v142(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30304, 30303])).
% 40.68/27.16 tff(30306,plain,
% 40.68/27.16 (v166(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30305, 21170, 30302])).
% 40.68/27.16 tff(30307,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB185) | (~v166(constB185)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB185) | (~v166(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30308,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB185) | (~v166(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30309,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB185) | (~v166(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30308, 30307])).
% 40.68/27.16 tff(30310,plain,
% 40.68/27.16 (v165(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30309, 21181, 30306])).
% 40.68/27.16 tff(30311,plain,
% 40.68/27.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB185, bitIndex1)) | (~v139(constB185)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB185, bitIndex1)) | (~v139(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30312,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB185, bitIndex1)) | (~v139(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30313,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB185, bitIndex1)) | (~v139(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30312, 30311])).
% 40.68/27.16 tff(30314,plain,
% 40.68/27.16 (~v139(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30313, 21192, 30291])).
% 40.68/27.16 tff(30315,plain,
% 40.68/27.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB185, bitIndex1)) | (~v140(constB185)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB185, bitIndex1)) | (~v140(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30316,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB185, bitIndex1)) | (~v140(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30317,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB185, bitIndex1)) | (~v140(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30316, 30315])).
% 40.68/27.16 tff(30318,plain,
% 40.68/27.16 (~v140(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30317, 21203, 30291])).
% 40.68/27.16 tff(30319,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v170(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB185) | v139(constB185) | (~v170(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30320,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v170(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30321,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB185) | v139(constB185) | (~v170(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30320, 30319])).
% 40.68/27.16 tff(30322,plain,
% 40.68/27.16 (~v170(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30321, 10647, 30318, 30314])).
% 40.68/27.16 tff(30323,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB185, bitIndex0) | (~v141(constB185)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB185, bitIndex0) | (~v141(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30324,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB185, bitIndex0) | (~v141(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30325,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB185, bitIndex0) | (~v141(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 40.68/27.16 tff(30326,plain,
% 40.68/27.16 (~v141(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30325, 22820, 30287])).
% 40.68/27.16 tff(30327,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB185) | v170(constB185) | (~v169(constB185)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB185) | v170(constB185) | (~v169(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30328,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB185) | v170(constB185) | (~v169(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30329,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB185) | v170(constB185) | (~v169(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30328, 30327])).
% 40.68/27.16 tff(30330,plain,
% 40.68/27.16 (~v169(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30329, 11040, 30326, 30322])).
% 40.68/27.16 tff(30331,plain,
% 40.68/27.16 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB185)) | v169(constB185) | (~v165(constB185)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB185)) | v169(constB185) | (~v165(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30332,plain,
% 40.68/27.16 (((~v165(constB185)) | v169(constB185) | (~v162(constB185))) <=> ((~v162(constB185)) | v169(constB185) | (~v165(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30333,plain,
% 40.68/27.16 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB185)) | v169(constB185) | (~v162(constB185)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB185)) | v169(constB185) | (~v165(constB185))))),
% 40.68/27.16 inference(monotonicity,[status(thm)],[30332])).
% 40.68/27.16 tff(30334,plain,
% 40.68/27.16 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB185)) | v169(constB185) | (~v162(constB185)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB185)) | v169(constB185) | (~v165(constB185)))),
% 40.68/27.16 inference(transitivity,[status(thm)],[30333, 30331])).
% 40.68/27.16 tff(30335,plain,
% 40.68/27.16 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB185)) | v169(constB185) | (~v162(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30336,plain,
% 40.68/27.16 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB185)) | v169(constB185) | (~v165(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30335, 30334])).
% 40.68/27.16 tff(30337,plain,
% 40.68/27.16 ((~v162(constB185)) | (~v165(constB185))),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30336, 11073, 30330])).
% 40.68/27.16 tff(30338,plain,
% 40.68/27.16 (~v162(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30337, 30310])).
% 40.68/27.16 tff(30339,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB185) | (~v187(constB185)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB185) | (~v187(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30340,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB185) | (~v187(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30341,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB185) | (~v187(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30340, 30339])).
% 40.68/27.16 tff(30342,plain,
% 40.68/27.16 (~v187(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30341, 11087, 30338])).
% 40.68/27.16 tff(30343,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB185) | (~v185(constB185)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB185) | (~v185(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30344,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB185) | (~v185(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30345,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB185) | (~v185(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30344, 30343])).
% 40.68/27.16 tff(30346,plain,
% 40.68/27.16 (~v185(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30345, 11098, 30342])).
% 40.68/27.16 tff(30347,assumption,(v18(constB186)), introduced(assumption)).
% 40.68/27.16 tff(30348,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB186))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30349,plain,
% 40.68/27.16 ($false),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30348, 11110, 30347])).
% 40.68/27.16 tff(30350,plain,(~v18(constB186)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.16 tff(30351,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30352,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30353,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30352, 30351])).
% 40.68/27.16 tff(30354,plain,
% 40.68/27.16 (v22(constB186)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30353, 11120, 21742])).
% 40.68/27.16 tff(30355,plain,
% 40.68/27.16 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB186)) | (~v22(constB186)) | v18(constB186))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB186)) | (~v22(constB186)) | v18(constB186))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30356,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB186)) | (~v22(constB186)) | v18(constB186))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30357,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB186)) | (~v22(constB186)) | v18(constB186)),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30356, 30355])).
% 40.68/27.16 tff(30358,plain,
% 40.68/27.16 ((~v19(constB186)) | v18(constB186)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30357, 11134, 30354])).
% 40.68/27.16 tff(30359,plain,
% 40.68/27.16 (~v19(constB186)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30358, 30350])).
% 40.68/27.16 tff(30360,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30361,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30362,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186)),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30361, 30360])).
% 40.68/27.16 tff(30363,plain,
% 40.68/27.16 (v13(constB186)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30362, 11149, 30359])).
% 40.68/27.16 tff(30364,plain,
% 40.68/27.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30365,plain,
% 40.68/27.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30366,plain,
% 40.68/27.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185)),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30365, 30364])).
% 40.68/27.16 tff(30367,plain,
% 40.68/27.16 ((~v13(constB186)) | v9(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30366, 11163, 25218])).
% 40.68/27.16 tff(30368,plain,
% 40.68/27.16 (v9(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30367, 30363])).
% 40.68/27.16 tff(30369,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v184(constB185))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB185) | (~v9(constB185)) | v184(constB185))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30370,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v184(constB185))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30371,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB185) | (~v9(constB185)) | v184(constB185)),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30370, 30369])).
% 40.68/27.16 tff(30372,plain,
% 40.68/27.16 ((~v9(constB185)) | v184(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30371, 11178, 25109])).
% 40.68/27.16 tff(30373,plain,
% 40.68/27.16 (v184(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30372, 30368])).
% 40.68/27.16 tff(30374,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB185) | (~v184(constB185)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB185) | (~v184(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30375,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB185) | (~v184(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30376,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB185) | (~v184(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30375, 30374])).
% 40.68/27.16 tff(30377,plain,
% 40.68/27.16 (v183(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30376, 11190, 30373])).
% 40.68/27.16 tff(30378,plain,
% 40.68/27.16 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB185)) | (~v181(constB185)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB185)) | (~v181(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30379,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB185)) | (~v181(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30380,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB185)) | (~v181(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30379, 30378])).
% 40.68/27.16 tff(30381,plain,
% 40.68/27.16 (~v181(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30380, 11201, 30377])).
% 40.68/27.16 tff(30382,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB185) | v185(constB185) | (~v178(constB185)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB185) | v185(constB185) | (~v178(constB185)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30383,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB185) | v185(constB185) | (~v178(constB185)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30384,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB185) | v185(constB185) | (~v178(constB185))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30383, 30382])).
% 40.68/27.16 tff(30385,plain,
% 40.68/27.16 (v185(constB185) | (~v178(constB185))),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30384, 11215, 30381])).
% 40.68/27.16 tff(30386,plain,
% 40.68/27.16 (~v178(constB185)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30385, 30346])).
% 40.68/27.16 tff(30387,plain,
% 40.68/27.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30388,plain,
% 40.68/27.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30389,plain,
% 40.68/27.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30388, 30387])).
% 40.68/27.16 tff(30390,plain,
% 40.68/27.16 (v178(constB185) | (~v180(constB186))),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30389, 11230, 25218])).
% 40.68/27.16 tff(30391,plain,
% 40.68/27.16 (~v180(constB186)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30390, 30386])).
% 40.68/27.16 tff(30392,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB186) | (~v181(constB186)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB186) | (~v181(constB186)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30393,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB186) | (~v181(constB186)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30394,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB186) | (~v181(constB186))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30393, 30392])).
% 40.68/27.16 tff(30395,plain,
% 40.68/27.16 (~v181(constB186)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30394, 11242, 30391])).
% 40.68/27.16 tff(30396,plain,
% 40.68/27.16 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB186)) | (~v184(constB186)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB186)) | (~v184(constB186)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30397,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB186)) | (~v184(constB186)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30398,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB186)) | (~v184(constB186))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30397, 30396])).
% 40.68/27.16 tff(30399,plain,
% 40.68/27.16 (~v184(constB186)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30398, 11253, 21742])).
% 40.68/27.16 tff(30400,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB186) | (~v187(constB186)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB186) | (~v187(constB186)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30401,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB186) | (~v187(constB186)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30402,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB186) | (~v187(constB186))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30401, 30400])).
% 40.68/27.16 tff(30403,plain,
% 40.68/27.16 (~v187(constB186)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30402, 11264, 30399])).
% 40.68/27.16 tff(30404,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB186) | (~v185(constB186)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB186) | (~v185(constB186)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30405,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB186) | (~v185(constB186)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30406,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB186) | (~v185(constB186))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30405, 30404])).
% 40.68/27.16 tff(30407,plain,
% 40.68/27.16 (~v185(constB186)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30406, 11098, 30403])).
% 40.68/27.16 tff(30408,plain,
% 40.68/27.16 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB186) | v185(constB186) | (~v178(constB186)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB186) | v185(constB186) | (~v178(constB186)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30409,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB186) | v185(constB186) | (~v178(constB186)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30410,plain,
% 40.68/27.16 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB186) | v185(constB186) | (~v178(constB186))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30409, 30408])).
% 40.68/27.16 tff(30411,plain,
% 40.68/27.16 (v181(constB186) | (~v178(constB186))),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30410, 11215, 30407])).
% 40.68/27.16 tff(30412,plain,
% 40.68/27.16 (~v178(constB186)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30411, 30395])).
% 40.68/27.16 tff(30413,plain,
% 40.68/27.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30414,plain,
% 40.68/27.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30415,plain,
% 40.68/27.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30414, 30413])).
% 40.68/27.16 tff(30416,plain,
% 40.68/27.16 (v178(constB186) | (~v180(constB187))),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30415, 11230, 25399])).
% 40.68/27.16 tff(30417,plain,
% 40.68/27.16 (~v180(constB187)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30416, 30412])).
% 40.68/27.16 tff(30418,plain,
% 40.68/27.16 ($false),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30417, 30279])).
% 40.68/27.16 tff(30419,plain,((~(constB187 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.68/27.16 tff(30420,plain,
% 40.68/27.16 (~(constB187 = sK0_VarCurr)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30419, 10998])).
% 40.68/27.16 tff(30421,assumption,(constB121 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.16 tff(30422,plain,
% 40.68/27.16 (v180(constB121) <=> v180(sK0_VarCurr)),
% 40.68/27.16 inference(monotonicity,[status(thm)],[30421])).
% 40.68/27.16 tff(30423,plain,
% 40.68/27.16 (v180(sK0_VarCurr) <=> v180(constB121)),
% 40.68/27.16 inference(symmetry,[status(thm)],[30422])).
% 40.68/27.16 tff(30424,plain,
% 40.68/27.16 (v180(constB121)),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[11002, 30423])).
% 40.68/27.16 tff(30425,plain,
% 40.68/27.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30426,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30427,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2)),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30426, 30425])).
% 40.68/27.16 tff(30428,plain,
% 40.68/27.16 (v88(constB119, bitIndex2)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30427, 10566, 15563])).
% 40.68/27.16 tff(30429,plain,
% 40.68/27.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v140(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB119, bitIndex2)) | (~v140(constB119)))),
% 40.68/27.16 inference(rewrite,[status(thm)],[])).
% 40.68/27.16 tff(30430,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v140(constB119)))),
% 40.68/27.16 inference(quant_inst,[status(thm)],[])).
% 40.68/27.16 tff(30431,plain,
% 40.68/27.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB119, bitIndex2)) | (~v140(constB119))),
% 40.68/27.16 inference(modus_ponens,[status(thm)],[30430, 30429])).
% 40.68/27.16 tff(30432,plain,
% 40.68/27.16 (~v140(constB119)),
% 40.68/27.16 inference(unit_resolution,[status(thm)],[30431, 10577, 30428])).
% 40.68/27.16 tff(30433,plain,
% 40.68/27.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30434,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30435,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0)),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30434, 30433])).
% 40.68/27.17 tff(30436,plain,
% 40.68/27.17 (v88(constB119, bitIndex0)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30435, 10622, 15628])).
% 40.68/27.17 tff(30437,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB119, bitIndex0)) | (~v139(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB119, bitIndex0)) | (~v139(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30438,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB119, bitIndex0)) | (~v139(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30439,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB119, bitIndex0)) | (~v139(constB119))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30438, 30437])).
% 40.68/27.17 tff(30440,plain,
% 40.68/27.17 (~v139(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30439, 10633, 30436])).
% 40.68/27.17 tff(30441,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB119) | v140(constB119) | (~v170(constB119)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB119) | v140(constB119) | (~v170(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30442,plain,
% 40.68/27.17 ((v140(constB119) | v139(constB119) | (~v170(constB119))) <=> (v139(constB119) | v140(constB119) | (~v170(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30443,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB119) | v139(constB119) | (~v170(constB119)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB119) | v140(constB119) | (~v170(constB119))))),
% 40.68/27.17 inference(monotonicity,[status(thm)],[30442])).
% 40.68/27.17 tff(30444,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB119) | v139(constB119) | (~v170(constB119)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB119) | v140(constB119) | (~v170(constB119)))),
% 40.68/27.17 inference(transitivity,[status(thm)],[30443, 30441])).
% 40.68/27.17 tff(30445,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB119) | v139(constB119) | (~v170(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30446,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB119) | v140(constB119) | (~v170(constB119))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30445, 30444])).
% 40.68/27.17 tff(30447,plain,
% 40.68/27.17 (~v170(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30446, 10647, 30440, 30432])).
% 40.68/27.17 tff(30448,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB119)) | (~v88(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB119)) | (~v88(constB119, bitIndex2)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30449,plain,
% 40.68/27.17 (((~v88(constB119, bitIndex2)) | (~v141(constB119))) <=> ((~v141(constB119)) | (~v88(constB119, bitIndex2)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30450,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v141(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB119)) | (~v88(constB119, bitIndex2))))),
% 40.68/27.17 inference(monotonicity,[status(thm)],[30449])).
% 40.68/27.17 tff(30451,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v141(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB119)) | (~v88(constB119, bitIndex2)))),
% 40.68/27.17 inference(transitivity,[status(thm)],[30450, 30448])).
% 40.68/27.17 tff(30452,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v141(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30453,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB119)) | (~v88(constB119, bitIndex2))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30452, 30451])).
% 40.68/27.17 tff(30454,plain,
% 40.68/27.17 (~v141(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30453, 10658, 30428])).
% 40.68/27.17 tff(30455,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB119) | v170(constB119) | (~v169(constB119)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB119) | v170(constB119) | (~v169(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30456,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB119) | v170(constB119) | (~v169(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30457,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB119) | v170(constB119) | (~v169(constB119))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30456, 30455])).
% 40.68/27.17 tff(30458,plain,
% 40.68/27.17 (~v169(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30457, 11040, 30454, 30447])).
% 40.68/27.17 tff(30459,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30460,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30461,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30460, 30459])).
% 40.68/27.17 tff(30462,plain,
% 40.68/27.17 (~v88(constB119, bitIndex1)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30461, 10784, 15597])).
% 40.68/27.17 tff(30463,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30464,plain,
% 40.68/27.17 (((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119)) <=> (v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30465,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119)))),
% 40.68/27.17 inference(monotonicity,[status(thm)],[30464])).
% 40.68/27.17 tff(30466,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119))),
% 40.68/27.17 inference(transitivity,[status(thm)],[30465, 30463])).
% 40.68/27.17 tff(30467,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30468,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119)),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30467, 30466])).
% 40.68/27.17 tff(30469,plain,
% 40.68/27.17 (v147(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30468, 10798, 30436, 30428, 30462])).
% 40.68/27.17 tff(30470,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB119) | (~v147(constB119)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB119) | (~v147(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30471,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB119) | (~v147(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30472,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB119) | (~v147(constB119))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 40.68/27.17 tff(30473,plain,
% 40.68/27.17 (v145(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30472, 10812, 30469])).
% 40.68/27.17 tff(30474,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB119) | (~v145(constB119)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB119) | (~v145(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30475,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB119) | (~v145(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30476,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB119) | (~v145(constB119))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30475, 30474])).
% 40.68/27.17 tff(30477,plain,
% 40.68/27.17 (v165(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30476, 10823, 30473])).
% 40.68/27.17 tff(30478,plain,
% 40.68/27.17 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB119)) | (~v165(constB119)) | v169(constB119))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB119)) | (~v165(constB119)) | v169(constB119))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30479,plain,
% 40.68/27.17 (((~v165(constB119)) | v169(constB119) | (~v162(constB119))) <=> ((~v162(constB119)) | (~v165(constB119)) | v169(constB119))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30480,plain,
% 40.68/27.17 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB119)) | v169(constB119) | (~v162(constB119)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB119)) | (~v165(constB119)) | v169(constB119)))),
% 40.68/27.17 inference(monotonicity,[status(thm)],[30479])).
% 40.68/27.17 tff(30481,plain,
% 40.68/27.17 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB119)) | v169(constB119) | (~v162(constB119)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB119)) | (~v165(constB119)) | v169(constB119))),
% 40.68/27.17 inference(transitivity,[status(thm)],[30480, 30478])).
% 40.68/27.17 tff(30482,plain,
% 40.68/27.17 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB119)) | v169(constB119) | (~v162(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30483,plain,
% 40.68/27.17 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB119)) | (~v165(constB119)) | v169(constB119)),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30482, 30481])).
% 40.68/27.17 tff(30484,plain,
% 40.68/27.17 (~v162(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30483, 11073, 30477, 30458])).
% 40.68/27.17 tff(30485,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB119) | (~v187(constB119)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB119) | (~v187(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30486,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB119) | (~v187(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30487,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB119) | (~v187(constB119))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30486, 30485])).
% 40.68/27.17 tff(30488,plain,
% 40.68/27.17 (~v187(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30487, 11087, 30484])).
% 40.68/27.17 tff(30489,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB119) | (~v185(constB119)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB119) | (~v185(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30490,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB119) | (~v185(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30491,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB119) | (~v185(constB119))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30490, 30489])).
% 40.68/27.17 tff(30492,plain,
% 40.68/27.17 (~v185(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30491, 11098, 30488])).
% 40.68/27.17 tff(30493,assumption,(v18(constB120)), introduced(assumption)).
% 40.68/27.17 tff(30494,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB120))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30495,plain,
% 40.68/27.17 ($false),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30494, 11110, 30493])).
% 40.68/27.17 tff(30496,plain,(~v18(constB120)), inference(lemma,lemma(discharge,[]))).
% 40.68/27.17 tff(30497,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30498,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30499,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30498, 30497])).
% 40.68/27.17 tff(30500,plain,
% 40.68/27.17 (v22(constB120)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30499, 11120, 15676])).
% 40.68/27.17 tff(30501,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB120)) | (~v22(constB120)) | v18(constB120))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB120)) | (~v22(constB120)) | v18(constB120))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30502,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB120)) | (~v22(constB120)) | v18(constB120))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30503,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB120)) | (~v22(constB120)) | v18(constB120)),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30502, 30501])).
% 40.68/27.17 tff(30504,plain,
% 40.68/27.17 ((~v19(constB120)) | v18(constB120)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30503, 11134, 30500])).
% 40.68/27.17 tff(30505,plain,
% 40.68/27.17 (~v19(constB120)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30504, 30496])).
% 40.68/27.17 tff(30506,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30507,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30508,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120)),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30507, 30506])).
% 40.68/27.17 tff(30509,plain,
% 40.68/27.17 (v13(constB120)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30508, 11149, 30505])).
% 40.68/27.17 tff(30510,plain,
% 40.68/27.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30511,plain,
% 40.68/27.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30512,plain,
% 40.68/27.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119)),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30511, 30510])).
% 40.68/27.17 tff(30513,plain,
% 40.68/27.17 ((~v13(constB120)) | v9(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30512, 11163, 15656])).
% 40.68/27.17 tff(30514,plain,
% 40.68/27.17 (v9(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30513, 30509])).
% 40.68/27.17 tff(30515,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v184(constB119))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB119) | (~v9(constB119)) | v184(constB119))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30516,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v184(constB119))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30517,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB119) | (~v9(constB119)) | v184(constB119)),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30516, 30515])).
% 40.68/27.17 tff(30518,plain,
% 40.68/27.17 ((~v9(constB119)) | v184(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30517, 11178, 15542])).
% 40.68/27.17 tff(30519,plain,
% 40.68/27.17 (v184(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30518, 30514])).
% 40.68/27.17 tff(30520,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB119) | (~v184(constB119)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB119) | (~v184(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30521,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB119) | (~v184(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30522,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB119) | (~v184(constB119))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30521, 30520])).
% 40.68/27.17 tff(30523,plain,
% 40.68/27.17 (v183(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30522, 11190, 30519])).
% 40.68/27.17 tff(30524,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB119)) | (~v183(constB119)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB119)) | (~v183(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30525,plain,
% 40.68/27.17 (((~v183(constB119)) | (~v181(constB119))) <=> ((~v181(constB119)) | (~v183(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30526,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB119)) | (~v181(constB119)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB119)) | (~v183(constB119))))),
% 40.68/27.17 inference(monotonicity,[status(thm)],[30525])).
% 40.68/27.17 tff(30527,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB119)) | (~v181(constB119)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB119)) | (~v183(constB119)))),
% 40.68/27.17 inference(transitivity,[status(thm)],[30526, 30524])).
% 40.68/27.17 tff(30528,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB119)) | (~v181(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30529,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB119)) | (~v183(constB119))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30528, 30527])).
% 40.68/27.17 tff(30530,plain,
% 40.68/27.17 (~v181(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30529, 11201, 30523])).
% 40.68/27.17 tff(30531,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB119) | v185(constB119) | (~v178(constB119)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB119) | v185(constB119) | (~v178(constB119)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30532,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB119) | v185(constB119) | (~v178(constB119)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30533,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB119) | v185(constB119) | (~v178(constB119))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30532, 30531])).
% 40.68/27.17 tff(30534,plain,
% 40.68/27.17 (v185(constB119) | (~v178(constB119))),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30533, 11215, 30530])).
% 40.68/27.17 tff(30535,plain,
% 40.68/27.17 (~v178(constB119)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30534, 30492])).
% 40.68/27.17 tff(30536,plain,
% 40.68/27.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30537,plain,
% 40.68/27.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30538,plain,
% 40.68/27.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30537, 30536])).
% 40.68/27.17 tff(30539,plain,
% 40.68/27.17 (v178(constB119) | (~v180(constB120))),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30538, 11230, 15656])).
% 40.68/27.17 tff(30540,plain,
% 40.68/27.17 (~v180(constB120)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30539, 30535])).
% 40.68/27.17 tff(30541,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB120) | (~v181(constB120)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB120) | (~v181(constB120)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30542,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB120) | (~v181(constB120)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30543,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB120) | (~v181(constB120))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30542, 30541])).
% 40.68/27.17 tff(30544,plain,
% 40.68/27.17 (~v181(constB120)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30543, 11242, 30540])).
% 40.68/27.17 tff(30545,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB120)) | (~v184(constB120)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB120)) | (~v184(constB120)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30546,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB120)) | (~v184(constB120)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30547,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB120)) | (~v184(constB120))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30546, 30545])).
% 40.68/27.17 tff(30548,plain,
% 40.68/27.17 (~v184(constB120)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30547, 11253, 15676])).
% 40.68/27.17 tff(30549,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB120) | (~v187(constB120)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB120) | (~v187(constB120)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30550,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB120) | (~v187(constB120)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30551,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB120) | (~v187(constB120))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30550, 30549])).
% 40.68/27.17 tff(30552,plain,
% 40.68/27.17 (~v187(constB120)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30551, 11264, 30548])).
% 40.68/27.17 tff(30553,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB120) | (~v185(constB120)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB120) | (~v185(constB120)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30554,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB120) | (~v185(constB120)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30555,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB120) | (~v185(constB120))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30554, 30553])).
% 40.68/27.17 tff(30556,plain,
% 40.68/27.17 (~v185(constB120)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30555, 11098, 30552])).
% 40.68/27.17 tff(30557,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB120) | v185(constB120) | (~v178(constB120)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB120) | v185(constB120) | (~v178(constB120)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30558,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB120) | v185(constB120) | (~v178(constB120)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30559,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB120) | v185(constB120) | (~v178(constB120))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30558, 30557])).
% 40.68/27.17 tff(30560,plain,
% 40.68/27.17 (v181(constB120) | (~v178(constB120))),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30559, 11215, 30556])).
% 40.68/27.17 tff(30561,plain,
% 40.68/27.17 (~v178(constB120)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30560, 30544])).
% 40.68/27.17 tff(30562,plain,
% 40.68/27.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30563,plain,
% 40.68/27.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30564,plain,
% 40.68/27.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30563, 30562])).
% 40.68/27.17 tff(30565,plain,
% 40.68/27.17 (v178(constB120) | (~v180(constB121))),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30564, 11230, 15718])).
% 40.68/27.17 tff(30566,plain,
% 40.68/27.17 (~v180(constB121)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30565, 30561])).
% 40.68/27.17 tff(30567,plain,
% 40.68/27.17 ($false),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30566, 30424])).
% 40.68/27.17 tff(30568,plain,((~(constB121 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.68/27.17 tff(30569,plain,
% 40.68/27.17 (~(constB121 = sK0_VarCurr)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30568, 10998])).
% 40.68/27.17 tff(30570,assumption,(constB55 = sK0_VarCurr), introduced(assumption)).
% 40.68/27.17 tff(30571,plain,
% 40.68/27.17 (v180(constB55) <=> v180(sK0_VarCurr)),
% 40.68/27.17 inference(monotonicity,[status(thm)],[30570])).
% 40.68/27.17 tff(30572,plain,
% 40.68/27.17 (v180(sK0_VarCurr) <=> v180(constB55)),
% 40.68/27.17 inference(symmetry,[status(thm)],[30571])).
% 40.68/27.17 tff(30573,plain,
% 40.68/27.17 (v180(constB55)),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[11002, 30572])).
% 40.68/27.17 tff(30574,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB53, bitIndex2) | (~v88(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB53, bitIndex2) | (~v88(constB53, bitIndex2)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30575,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB53, bitIndex2) | (~v88(constB53, bitIndex2)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30576,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB53, bitIndex2) | (~v88(constB53, bitIndex2))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30575, 30574])).
% 40.68/27.17 tff(30577,plain,
% 40.68/27.17 (~v88(constB53, bitIndex2)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30576, 22090, 6930])).
% 40.68/27.17 tff(30578,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB53, bitIndex0) | (~v88(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB53, bitIndex0) | (~v88(constB53, bitIndex0)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30579,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB53, bitIndex0) | (~v88(constB53, bitIndex0)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30580,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB53, bitIndex0) | (~v88(constB53, bitIndex0))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30579, 30578])).
% 40.68/27.17 tff(30581,plain,
% 40.68/27.17 (~v88(constB53, bitIndex0)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30580, 14645, 6995])).
% 40.68/27.17 tff(30582,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB53, bitIndex1)) | v88(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB53, bitIndex1)) | v88(constB53, bitIndex1))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30583,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB53, bitIndex1)) | v88(constB53, bitIndex1))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30584,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB53, bitIndex1)) | v88(constB53, bitIndex1)),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30583, 30582])).
% 40.68/27.17 tff(30585,plain,
% 40.68/27.17 (v88(constB53, bitIndex1)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30584, 21131, 6961])).
% 40.68/27.17 tff(30586,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB53, bitIndex0) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v143(constB53))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB53, bitIndex0) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v143(constB53))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30587,plain,
% 40.68/27.17 ((v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0) | v143(constB53)) <=> (v88(constB53, bitIndex0) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v143(constB53))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30588,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0) | v143(constB53))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB53, bitIndex0) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v143(constB53)))),
% 40.68/27.17 inference(monotonicity,[status(thm)],[30587])).
% 40.68/27.17 tff(30589,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0) | v143(constB53))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB53, bitIndex0) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v143(constB53))),
% 40.68/27.17 inference(transitivity,[status(thm)],[30588, 30586])).
% 40.68/27.17 tff(30590,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0) | v143(constB53))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30591,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB53, bitIndex0) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v143(constB53)),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30590, 30589])).
% 40.68/27.17 tff(30592,plain,
% 40.68/27.17 (v143(constB53)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30591, 22766, 30585, 30581, 30577])).
% 40.68/27.17 tff(30593,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB53) | (~v143(constB53)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB53) | (~v143(constB53)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30594,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB53) | (~v143(constB53)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30595,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB53) | (~v143(constB53))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30594, 30593])).
% 40.68/27.17 tff(30596,plain,
% 40.68/27.17 (v142(constB53)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30595, 22780, 30592])).
% 40.68/27.17 tff(30597,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB53) | (~v142(constB53)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB53) | (~v142(constB53)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30598,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB53) | (~v142(constB53)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30599,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB53) | (~v142(constB53))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30598, 30597])).
% 40.68/27.17 tff(30600,plain,
% 40.68/27.17 (v166(constB53)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30599, 21170, 30596])).
% 40.68/27.17 tff(30601,plain,
% 40.68/27.17 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB53) | (~v166(constB53)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB53) | (~v166(constB53)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30602,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB53) | (~v166(constB53)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30603,plain,
% 40.68/27.17 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB53) | (~v166(constB53))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30602, 30601])).
% 40.68/27.17 tff(30604,plain,
% 40.68/27.17 (v165(constB53)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30603, 21181, 30600])).
% 40.68/27.17 tff(30605,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB53, bitIndex1)) | (~v139(constB53)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB53, bitIndex1)) | (~v139(constB53)))),
% 40.68/27.17 inference(rewrite,[status(thm)],[])).
% 40.68/27.17 tff(30606,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB53, bitIndex1)) | (~v139(constB53)))),
% 40.68/27.17 inference(quant_inst,[status(thm)],[])).
% 40.68/27.17 tff(30607,plain,
% 40.68/27.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB53, bitIndex1)) | (~v139(constB53))),
% 40.68/27.17 inference(modus_ponens,[status(thm)],[30606, 30605])).
% 40.68/27.17 tff(30608,plain,
% 40.68/27.17 (~v139(constB53)),
% 40.68/27.17 inference(unit_resolution,[status(thm)],[30607, 21192, 30585])).
% 40.68/27.17 tff(30609,plain,
% 40.68/27.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB53)) | (~v88(constB53, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB53)) | (~v88(constB53, bitIndex1)))),
% 40.68/27.18 inference(rewrite,[status(thm)],[])).
% 40.68/27.18 tff(30610,plain,
% 40.68/27.18 (((~v88(constB53, bitIndex1)) | (~v140(constB53))) <=> ((~v140(constB53)) | (~v88(constB53, bitIndex1)))),
% 40.68/27.18 inference(rewrite,[status(thm)],[])).
% 40.68/27.18 tff(30611,plain,
% 40.68/27.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB53, bitIndex1)) | (~v140(constB53)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB53)) | (~v88(constB53, bitIndex1))))),
% 40.68/27.18 inference(monotonicity,[status(thm)],[30610])).
% 40.68/27.18 tff(30612,plain,
% 40.68/27.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB53, bitIndex1)) | (~v140(constB53)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB53)) | (~v88(constB53, bitIndex1)))),
% 40.68/27.18 inference(transitivity,[status(thm)],[30611, 30609])).
% 40.68/27.18 tff(30613,plain,
% 40.68/27.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB53, bitIndex1)) | (~v140(constB53)))),
% 40.68/27.18 inference(quant_inst,[status(thm)],[])).
% 40.68/27.18 tff(30614,plain,
% 40.68/27.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB53)) | (~v88(constB53, bitIndex1))),
% 40.68/27.18 inference(modus_ponens,[status(thm)],[30613, 30612])).
% 40.68/27.18 tff(30615,plain,
% 40.68/27.18 (~v140(constB53)),
% 40.68/27.18 inference(unit_resolution,[status(thm)],[30614, 21203, 30585])).
% 40.68/27.18 tff(30616,plain,
% 40.68/27.18 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB53)) | v140(constB53) | v139(constB53))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB53)) | v140(constB53) | v139(constB53))),
% 40.68/27.18 inference(rewrite,[status(thm)],[])).
% 40.68/27.18 tff(30617,plain,
% 40.68/27.18 ((v140(constB53) | v139(constB53) | (~v170(constB53))) <=> ((~v170(constB53)) | v140(constB53) | v139(constB53))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30618,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB53) | v139(constB53) | (~v170(constB53)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB53)) | v140(constB53) | v139(constB53)))),
% 40.74/27.18 inference(monotonicity,[status(thm)],[30617])).
% 40.74/27.18 tff(30619,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB53) | v139(constB53) | (~v170(constB53)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB53)) | v140(constB53) | v139(constB53))),
% 40.74/27.18 inference(transitivity,[status(thm)],[30618, 30616])).
% 40.74/27.18 tff(30620,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB53) | v139(constB53) | (~v170(constB53)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30621,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB53)) | v140(constB53) | v139(constB53)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30620, 30619])).
% 40.74/27.18 tff(30622,plain,
% 40.74/27.18 (~v170(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30621, 10647, 30615, 30608])).
% 40.74/27.18 tff(30623,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB53, bitIndex0) | (~v141(constB53)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB53, bitIndex0) | (~v141(constB53)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30624,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB53, bitIndex0) | (~v141(constB53)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30625,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB53, bitIndex0) | (~v141(constB53))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30624, 30623])).
% 40.74/27.18 tff(30626,plain,
% 40.74/27.18 (~v141(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30625, 22820, 30581])).
% 40.74/27.18 tff(30627,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB53) | v170(constB53) | (~v169(constB53)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB53) | v170(constB53) | (~v169(constB53)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30628,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB53) | v170(constB53) | (~v169(constB53)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30629,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB53) | v170(constB53) | (~v169(constB53))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30628, 30627])).
% 40.74/27.18 tff(30630,plain,
% 40.74/27.18 (~v169(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30629, 11040, 30626, 30622])).
% 40.74/27.18 tff(30631,plain,
% 40.74/27.18 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB53)) | (~v165(constB53)) | v169(constB53))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB53)) | (~v165(constB53)) | v169(constB53))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30632,plain,
% 40.74/27.18 (((~v165(constB53)) | v169(constB53) | (~v162(constB53))) <=> ((~v162(constB53)) | (~v165(constB53)) | v169(constB53))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30633,plain,
% 40.74/27.18 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB53)) | v169(constB53) | (~v162(constB53)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB53)) | (~v165(constB53)) | v169(constB53)))),
% 40.74/27.18 inference(monotonicity,[status(thm)],[30632])).
% 40.74/27.18 tff(30634,plain,
% 40.74/27.18 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB53)) | v169(constB53) | (~v162(constB53)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB53)) | (~v165(constB53)) | v169(constB53))),
% 40.74/27.18 inference(transitivity,[status(thm)],[30633, 30631])).
% 40.74/27.18 tff(30635,plain,
% 40.74/27.18 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB53)) | v169(constB53) | (~v162(constB53)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30636,plain,
% 40.74/27.18 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB53)) | (~v165(constB53)) | v169(constB53)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30635, 30634])).
% 40.74/27.18 tff(30637,plain,
% 40.74/27.18 ((~v162(constB53)) | (~v165(constB53))),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30636, 11073, 30630])).
% 40.74/27.18 tff(30638,plain,
% 40.74/27.18 (~v162(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30637, 30604])).
% 40.74/27.18 tff(30639,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB53) | (~v187(constB53)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB53) | (~v187(constB53)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30640,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB53) | (~v187(constB53)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30641,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB53) | (~v187(constB53))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30640, 30639])).
% 40.74/27.18 tff(30642,plain,
% 40.74/27.18 (~v187(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30641, 11087, 30638])).
% 40.74/27.18 tff(30643,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB53) | (~v185(constB53)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB53) | (~v185(constB53)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30644,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB53) | (~v185(constB53)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30645,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB53) | (~v185(constB53))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30644, 30643])).
% 40.74/27.18 tff(30646,plain,
% 40.74/27.18 (~v185(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30645, 11098, 30642])).
% 40.74/27.18 tff(30647,assumption,(v18(constB54)), introduced(assumption)).
% 40.74/27.18 tff(30648,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB54))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30649,plain,
% 40.74/27.18 ($false),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30648, 11110, 30647])).
% 40.74/27.18 tff(30650,plain,(~v18(constB54)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.18 tff(30651,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30652,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30653,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30652, 30651])).
% 40.74/27.18 tff(30654,plain,
% 40.74/27.18 (v22(constB54)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30653, 11120, 7058])).
% 40.74/27.18 tff(30655,plain,
% 40.74/27.18 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB54)) | (~v22(constB54)) | v18(constB54))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB54)) | (~v22(constB54)) | v18(constB54))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30656,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB54)) | (~v22(constB54)) | v18(constB54))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30657,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB54)) | (~v22(constB54)) | v18(constB54)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30656, 30655])).
% 40.74/27.18 tff(30658,plain,
% 40.74/27.18 ((~v19(constB54)) | v18(constB54)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30657, 11134, 30654])).
% 40.74/27.18 tff(30659,plain,
% 40.74/27.18 (~v19(constB54)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30658, 30650])).
% 40.74/27.18 tff(30660,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30661,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30662,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30661, 30660])).
% 40.74/27.18 tff(30663,plain,
% 40.74/27.18 (v13(constB54)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30662, 11149, 30659])).
% 40.74/27.18 tff(30664,plain,
% 40.74/27.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30665,plain,
% 40.74/27.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30666,plain,
% 40.74/27.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30665, 30664])).
% 40.74/27.18 tff(30667,plain,
% 40.74/27.18 ((~v13(constB54)) | v9(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30666, 11163, 7038])).
% 40.74/27.18 tff(30668,plain,
% 40.74/27.18 (v9(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30667, 30663])).
% 40.74/27.18 tff(30669,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v184(constB53))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB53) | (~v9(constB53)) | v184(constB53))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30670,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v184(constB53))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30671,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB53) | (~v9(constB53)) | v184(constB53)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30670, 30669])).
% 40.74/27.18 tff(30672,plain,
% 40.74/27.18 ((~v9(constB53)) | v184(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30671, 11178, 6906])).
% 40.74/27.18 tff(30673,plain,
% 40.74/27.18 (v184(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30672, 30668])).
% 40.74/27.18 tff(30674,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB53) | (~v184(constB53)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB53) | (~v184(constB53)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30675,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB53) | (~v184(constB53)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30676,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB53) | (~v184(constB53))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30675, 30674])).
% 40.74/27.18 tff(30677,plain,
% 40.74/27.18 (v183(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30676, 11190, 30673])).
% 40.74/27.18 tff(30678,plain,
% 40.74/27.18 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB53)) | (~v181(constB53)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB53)) | (~v181(constB53)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30679,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB53)) | (~v181(constB53)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30680,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB53)) | (~v181(constB53))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30679, 30678])).
% 40.74/27.18 tff(30681,plain,
% 40.74/27.18 (~v181(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30680, 11201, 30677])).
% 40.74/27.18 tff(30682,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB53) | v185(constB53) | (~v178(constB53)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB53) | v185(constB53) | (~v178(constB53)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30683,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB53) | v185(constB53) | (~v178(constB53)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30684,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB53) | v185(constB53) | (~v178(constB53))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30683, 30682])).
% 40.74/27.18 tff(30685,plain,
% 40.74/27.18 (v185(constB53) | (~v178(constB53))),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30684, 11215, 30681])).
% 40.74/27.18 tff(30686,plain,
% 40.74/27.18 (~v178(constB53)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30685, 30646])).
% 40.74/27.18 tff(30687,plain,
% 40.74/27.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30688,plain,
% 40.74/27.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30689,plain,
% 40.74/27.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30688, 30687])).
% 40.74/27.18 tff(30690,plain,
% 40.74/27.18 (v178(constB53) | (~v180(constB54))),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30689, 11230, 7038])).
% 40.74/27.18 tff(30691,plain,
% 40.74/27.18 (~v180(constB54)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30690, 30686])).
% 40.74/27.18 tff(30692,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB54) | (~v181(constB54)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB54) | (~v181(constB54)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30693,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB54) | (~v181(constB54)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30694,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB54) | (~v181(constB54))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30693, 30692])).
% 40.74/27.18 tff(30695,plain,
% 40.74/27.18 (~v181(constB54)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30694, 11242, 30691])).
% 40.74/27.18 tff(30696,plain,
% 40.74/27.18 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB54)) | (~v184(constB54)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB54)) | (~v184(constB54)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30697,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB54)) | (~v184(constB54)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30698,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB54)) | (~v184(constB54))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30697, 30696])).
% 40.74/27.18 tff(30699,plain,
% 40.74/27.18 (~v184(constB54)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30698, 11253, 7058])).
% 40.74/27.18 tff(30700,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB54) | (~v187(constB54)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB54) | (~v187(constB54)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30701,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB54) | (~v187(constB54)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30702,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB54) | (~v187(constB54))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30701, 30700])).
% 40.74/27.18 tff(30703,plain,
% 40.74/27.18 (~v187(constB54)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30702, 11264, 30699])).
% 40.74/27.18 tff(30704,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB54) | (~v185(constB54)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB54) | (~v185(constB54)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30705,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB54) | (~v185(constB54)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30706,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB54) | (~v185(constB54))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30705, 30704])).
% 40.74/27.18 tff(30707,plain,
% 40.74/27.18 (~v185(constB54)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30706, 11098, 30703])).
% 40.74/27.18 tff(30708,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB54) | v185(constB54) | (~v178(constB54)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB54) | v185(constB54) | (~v178(constB54)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30709,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB54) | v185(constB54) | (~v178(constB54)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30710,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB54) | v185(constB54) | (~v178(constB54))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30709, 30708])).
% 40.74/27.18 tff(30711,plain,
% 40.74/27.18 (v181(constB54) | (~v178(constB54))),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30710, 11215, 30707])).
% 40.74/27.18 tff(30712,plain,
% 40.74/27.18 (~v178(constB54)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30711, 30695])).
% 40.74/27.18 tff(30713,plain,
% 40.74/27.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30714,plain,
% 40.74/27.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30715,plain,
% 40.74/27.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30714, 30713])).
% 40.74/27.18 tff(30716,plain,
% 40.74/27.18 (v178(constB54) | (~v180(constB55))),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30715, 11230, 7100])).
% 40.74/27.18 tff(30717,plain,
% 40.74/27.18 (~v180(constB55)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30716, 30712])).
% 40.74/27.18 tff(30718,plain,
% 40.74/27.18 ($false),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30717, 30573])).
% 40.74/27.18 tff(30719,plain,((~(constB55 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.74/27.18 tff(30720,plain,
% 40.74/27.18 (~(constB55 = sK0_VarCurr)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30719, 10998])).
% 40.74/27.18 tff(30721,assumption,(constB31 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.18 tff(30722,plain,
% 40.74/27.18 (v180(constB31) <=> v180(sK0_VarCurr)),
% 40.74/27.18 inference(monotonicity,[status(thm)],[30721])).
% 40.74/27.18 tff(30723,plain,
% 40.74/27.18 (v180(sK0_VarCurr) <=> v180(constB31)),
% 40.74/27.18 inference(symmetry,[status(thm)],[30722])).
% 40.74/27.18 tff(30724,plain,
% 40.74/27.18 (v180(constB31)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[11002, 30723])).
% 40.74/27.18 tff(30725,plain,
% 40.74/27.18 (((~![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)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30726,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB29, bitIndex2) | (~v88(constB29, bitIndex2)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30727,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB29, bitIndex2) | (~v88(constB29, bitIndex2))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30726, 30725])).
% 40.74/27.18 tff(30728,plain,
% 40.74/27.18 (~v88(constB29, bitIndex2)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30727, 22090, 4326])).
% 40.74/27.18 tff(30729,plain,
% 40.74/27.18 (((~![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)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30730,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB29, bitIndex0) | (~v88(constB29, bitIndex0)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30731,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB29, bitIndex0) | (~v88(constB29, bitIndex0))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30730, 30729])).
% 40.74/27.18 tff(30732,plain,
% 40.74/27.18 (~v88(constB29, bitIndex0)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30731, 14645, 4391])).
% 40.74/27.18 tff(30733,plain,
% 40.74/27.18 (((~![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))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30734,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30735,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30734, 30733])).
% 40.74/27.18 tff(30736,plain,
% 40.74/27.18 (v88(constB29, bitIndex1)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30735, 21131, 4357])).
% 40.74/27.18 tff(30737,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30738,plain,
% 40.74/27.18 ((v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29)) <=> ((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30739,plain,
% 40.74/27.18 (((~![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, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29)))),
% 40.74/27.18 inference(monotonicity,[status(thm)],[30738])).
% 40.74/27.18 tff(30740,plain,
% 40.74/27.18 (((~![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, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29))),
% 40.74/27.18 inference(transitivity,[status(thm)],[30739, 30737])).
% 40.74/27.18 tff(30741,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30742,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0) | v143(constB29)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30741, 30740])).
% 40.74/27.18 tff(30743,plain,
% 40.74/27.18 (v143(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30742, 22766, 30736, 30732, 30728])).
% 40.74/27.18 tff(30744,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB29) | (~v143(constB29)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB29) | (~v143(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30745,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB29) | (~v143(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30746,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB29) | (~v143(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30745, 30744])).
% 40.74/27.18 tff(30747,plain,
% 40.74/27.18 (v142(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30746, 22780, 30743])).
% 40.74/27.18 tff(30748,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB29) | (~v142(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30749,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB29) | (~v142(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30750,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB29) | (~v142(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30749, 30748])).
% 40.74/27.18 tff(30751,plain,
% 40.74/27.18 (v166(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30750, 21170, 30747])).
% 40.74/27.18 tff(30752,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB29) | (~v166(constB29)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB29) | (~v166(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30753,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB29) | (~v166(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30754,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB29) | (~v166(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 40.74/27.18 tff(30755,plain,
% 40.74/27.18 (v165(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30754, 21181, 30751])).
% 40.74/27.18 tff(30756,plain,
% 40.74/27.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB29, bitIndex1)) | (~v139(constB29)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB29, bitIndex1)) | (~v139(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30757,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB29, bitIndex1)) | (~v139(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30758,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB29, bitIndex1)) | (~v139(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30757, 30756])).
% 40.74/27.18 tff(30759,plain,
% 40.74/27.18 (~v139(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30758, 21192, 30736])).
% 40.74/27.18 tff(30760,plain,
% 40.74/27.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB29, bitIndex1)) | (~v140(constB29)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB29, bitIndex1)) | (~v140(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30761,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB29, bitIndex1)) | (~v140(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30762,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB29, bitIndex1)) | (~v140(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 40.74/27.18 tff(30763,plain,
% 40.74/27.18 (~v140(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30762, 21203, 30736])).
% 40.74/27.18 tff(30764,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v170(constB29)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB29) | v139(constB29) | (~v170(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30765,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v170(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30766,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB29) | v139(constB29) | (~v170(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30765, 30764])).
% 40.74/27.18 tff(30767,plain,
% 40.74/27.18 (~v170(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30766, 10647, 30763, 30759])).
% 40.74/27.18 tff(30768,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB29, bitIndex0) | (~v141(constB29)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB29, bitIndex0) | (~v141(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30769,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB29, bitIndex0) | (~v141(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30770,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB29, bitIndex0) | (~v141(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30769, 30768])).
% 40.74/27.18 tff(30771,plain,
% 40.74/27.18 (~v141(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30770, 22820, 30732])).
% 40.74/27.18 tff(30772,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB29) | v170(constB29) | (~v169(constB29)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB29) | v170(constB29) | (~v169(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30773,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB29) | v170(constB29) | (~v169(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30774,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB29) | v170(constB29) | (~v169(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30773, 30772])).
% 40.74/27.18 tff(30775,plain,
% 40.74/27.18 (~v169(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30774, 11040, 30771, 30767])).
% 40.74/27.18 tff(30776,plain,
% 40.74/27.18 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB29)) | v169(constB29) | (~v165(constB29)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB29)) | v169(constB29) | (~v165(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30777,plain,
% 40.74/27.18 (((~v165(constB29)) | v169(constB29) | (~v162(constB29))) <=> ((~v162(constB29)) | v169(constB29) | (~v165(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30778,plain,
% 40.74/27.18 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB29)) | v169(constB29) | (~v162(constB29)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB29)) | v169(constB29) | (~v165(constB29))))),
% 40.74/27.18 inference(monotonicity,[status(thm)],[30777])).
% 40.74/27.18 tff(30779,plain,
% 40.74/27.18 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB29)) | v169(constB29) | (~v162(constB29)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB29)) | v169(constB29) | (~v165(constB29)))),
% 40.74/27.18 inference(transitivity,[status(thm)],[30778, 30776])).
% 40.74/27.18 tff(30780,plain,
% 40.74/27.18 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB29)) | v169(constB29) | (~v162(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30781,plain,
% 40.74/27.18 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB29)) | v169(constB29) | (~v165(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30780, 30779])).
% 40.74/27.18 tff(30782,plain,
% 40.74/27.18 ((~v162(constB29)) | (~v165(constB29))),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30781, 11073, 30775])).
% 40.74/27.18 tff(30783,plain,
% 40.74/27.18 (~v162(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30782, 30755])).
% 40.74/27.18 tff(30784,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB29) | (~v187(constB29)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB29) | (~v187(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30785,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB29) | (~v187(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30786,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB29) | (~v187(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30785, 30784])).
% 40.74/27.18 tff(30787,plain,
% 40.74/27.18 (~v187(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30786, 11087, 30783])).
% 40.74/27.18 tff(30788,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB29) | (~v185(constB29)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB29) | (~v185(constB29)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30789,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB29) | (~v185(constB29)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30790,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB29) | (~v185(constB29))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30789, 30788])).
% 40.74/27.18 tff(30791,plain,
% 40.74/27.18 (~v185(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30790, 11098, 30787])).
% 40.74/27.18 tff(30792,assumption,(v18(constB30)), introduced(assumption)).
% 40.74/27.18 tff(30793,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB30))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30794,plain,
% 40.74/27.18 ($false),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30793, 11110, 30792])).
% 40.74/27.18 tff(30795,plain,(~v18(constB30)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.18 tff(30796,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30)))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30797,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30798,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30))),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30797, 30796])).
% 40.74/27.18 tff(30799,plain,
% 40.74/27.18 (v22(constB30)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30798, 11120, 4451])).
% 40.74/27.18 tff(30800,plain,
% 40.74/27.18 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB30)) | (~v22(constB30)) | v18(constB30))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB30)) | (~v22(constB30)) | v18(constB30))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30801,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB30)) | (~v22(constB30)) | v18(constB30))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30802,plain,
% 40.74/27.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB30)) | (~v22(constB30)) | v18(constB30)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30801, 30800])).
% 40.74/27.18 tff(30803,plain,
% 40.74/27.18 ((~v19(constB30)) | v18(constB30)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30802, 11134, 30799])).
% 40.74/27.18 tff(30804,plain,
% 40.74/27.18 (~v19(constB30)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30803, 30795])).
% 40.74/27.18 tff(30805,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30806,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30807,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30806, 30805])).
% 40.74/27.18 tff(30808,plain,
% 40.74/27.18 (v13(constB30)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30807, 11149, 30804])).
% 40.74/27.18 tff(30809,plain,
% 40.74/27.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30810,plain,
% 40.74/27.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29))),
% 40.74/27.18 inference(quant_inst,[status(thm)],[])).
% 40.74/27.18 tff(30811,plain,
% 40.74/27.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29)),
% 40.74/27.18 inference(modus_ponens,[status(thm)],[30810, 30809])).
% 40.74/27.18 tff(30812,plain,
% 40.74/27.18 ((~v13(constB30)) | v9(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30811, 11163, 4431])).
% 40.74/27.18 tff(30813,plain,
% 40.74/27.18 (v9(constB29)),
% 40.74/27.18 inference(unit_resolution,[status(thm)],[30812, 30808])).
% 40.74/27.18 tff(30814,plain,
% 40.74/27.18 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v184(constB29))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB29) | (~v9(constB29)) | v184(constB29))),
% 40.74/27.18 inference(rewrite,[status(thm)],[])).
% 40.74/27.18 tff(30815,plain,
% 40.74/27.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v184(constB29))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30816,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB29) | (~v9(constB29)) | v184(constB29)),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30815, 30814])).
% 40.74/27.19 tff(30817,plain,
% 40.74/27.19 ((~v9(constB29)) | v184(constB29)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30816, 11178, 4302])).
% 40.74/27.19 tff(30818,plain,
% 40.74/27.19 (v184(constB29)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30817, 30813])).
% 40.74/27.19 tff(30819,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB29) | (~v184(constB29)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB29) | (~v184(constB29)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30820,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB29) | (~v184(constB29)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30821,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB29) | (~v184(constB29))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30820, 30819])).
% 40.74/27.19 tff(30822,plain,
% 40.74/27.19 (v183(constB29)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30821, 11190, 30818])).
% 40.74/27.19 tff(30823,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB29)) | (~v183(constB29)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB29)) | (~v183(constB29)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30824,plain,
% 40.74/27.19 (((~v183(constB29)) | (~v181(constB29))) <=> ((~v181(constB29)) | (~v183(constB29)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30825,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB29)) | (~v181(constB29)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB29)) | (~v183(constB29))))),
% 40.74/27.19 inference(monotonicity,[status(thm)],[30824])).
% 40.74/27.19 tff(30826,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB29)) | (~v181(constB29)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB29)) | (~v183(constB29)))),
% 40.74/27.19 inference(transitivity,[status(thm)],[30825, 30823])).
% 40.74/27.19 tff(30827,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB29)) | (~v181(constB29)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30828,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB29)) | (~v183(constB29))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30827, 30826])).
% 40.74/27.19 tff(30829,plain,
% 40.74/27.19 (~v181(constB29)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30828, 11201, 30822])).
% 40.74/27.19 tff(30830,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB29) | v185(constB29) | (~v178(constB29)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB29) | v185(constB29) | (~v178(constB29)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30831,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB29) | v185(constB29) | (~v178(constB29)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30832,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB29) | v185(constB29) | (~v178(constB29))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30831, 30830])).
% 40.74/27.19 tff(30833,plain,
% 40.74/27.19 (v185(constB29) | (~v178(constB29))),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30832, 11215, 30829])).
% 40.74/27.19 tff(30834,plain,
% 40.74/27.19 (~v178(constB29)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30833, 30791])).
% 40.74/27.19 tff(30835,plain,
% 40.74/27.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB29, constB30)) | v178(constB29) | (~v180(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB29, constB30)) | v178(constB29) | (~v180(constB30)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30836,plain,
% 40.74/27.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB29, constB30)) | v178(constB29) | (~v180(constB30)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30837,plain,
% 40.74/27.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB29, constB30)) | v178(constB29) | (~v180(constB30))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30836, 30835])).
% 40.74/27.19 tff(30838,plain,
% 40.74/27.19 (v178(constB29) | (~v180(constB30))),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30837, 11230, 4431])).
% 40.74/27.19 tff(30839,plain,
% 40.74/27.19 (~v180(constB30)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30838, 30834])).
% 40.74/27.19 tff(30840,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB30) | (~v181(constB30)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB30) | (~v181(constB30)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30841,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB30) | (~v181(constB30)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30842,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB30) | (~v181(constB30))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30841, 30840])).
% 40.74/27.19 tff(30843,plain,
% 40.74/27.19 (~v181(constB30)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30842, 11242, 30839])).
% 40.74/27.19 tff(30844,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB30)) | (~v184(constB30)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB30)) | (~v184(constB30)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30845,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB30)) | (~v184(constB30)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30846,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB30)) | (~v184(constB30))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30845, 30844])).
% 40.74/27.19 tff(30847,plain,
% 40.74/27.19 (~v184(constB30)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30846, 11253, 4451])).
% 40.74/27.19 tff(30848,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB30) | (~v187(constB30)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB30) | (~v187(constB30)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30849,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB30) | (~v187(constB30)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30850,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB30) | (~v187(constB30))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30849, 30848])).
% 40.74/27.19 tff(30851,plain,
% 40.74/27.19 (~v187(constB30)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30850, 11264, 30847])).
% 40.74/27.19 tff(30852,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB30) | (~v185(constB30)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB30) | (~v185(constB30)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30853,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB30) | (~v185(constB30)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30854,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB30) | (~v185(constB30))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30853, 30852])).
% 40.74/27.19 tff(30855,plain,
% 40.74/27.19 (~v185(constB30)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30854, 11098, 30851])).
% 40.74/27.19 tff(30856,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB30) | v185(constB30) | (~v178(constB30)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB30) | v185(constB30) | (~v178(constB30)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30857,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB30) | v185(constB30) | (~v178(constB30)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30858,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB30) | v185(constB30) | (~v178(constB30))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30857, 30856])).
% 40.74/27.19 tff(30859,plain,
% 40.74/27.19 (v181(constB30) | (~v178(constB30))),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30858, 11215, 30855])).
% 40.74/27.19 tff(30860,plain,
% 40.74/27.19 (~v178(constB30)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30859, 30843])).
% 40.74/27.19 tff(30861,plain,
% 40.74/27.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB30, constB31)) | v178(constB30) | (~v180(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB30, constB31)) | v178(constB30) | (~v180(constB31)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30862,plain,
% 40.74/27.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB30, constB31)) | v178(constB30) | (~v180(constB31)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30863,plain,
% 40.74/27.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB30, constB31)) | v178(constB30) | (~v180(constB31))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30862, 30861])).
% 40.74/27.19 tff(30864,plain,
% 40.74/27.19 (v178(constB30) | (~v180(constB31))),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30863, 11230, 4496])).
% 40.74/27.19 tff(30865,plain,
% 40.74/27.19 (~v180(constB31)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30864, 30860])).
% 40.74/27.19 tff(30866,plain,
% 40.74/27.19 ($false),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30865, 30724])).
% 40.74/27.19 tff(30867,plain,((~(constB31 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.74/27.19 tff(30868,plain,
% 40.74/27.19 (~(constB31 = sK0_VarCurr)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30867, 10998])).
% 40.74/27.19 tff(30869,assumption,(constB43 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.19 tff(30870,plain,
% 40.74/27.19 (v180(constB43) <=> v180(sK0_VarCurr)),
% 40.74/27.19 inference(monotonicity,[status(thm)],[30869])).
% 40.74/27.19 tff(30871,plain,
% 40.74/27.19 (v180(sK0_VarCurr) <=> v180(constB43)),
% 40.74/27.19 inference(symmetry,[status(thm)],[30870])).
% 40.74/27.19 tff(30872,plain,
% 40.74/27.19 (v180(constB43)),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[11002, 30871])).
% 40.74/27.19 tff(30873,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30874,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30875,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB41, bitIndex2) | (~v88(constB41, bitIndex2))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30874, 30873])).
% 40.74/27.19 tff(30876,plain,
% 40.74/27.19 (~v88(constB41, bitIndex2)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30875, 22090, 5521])).
% 40.74/27.19 tff(30877,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB41, bitIndex0) | (~v88(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB41, bitIndex0) | (~v88(constB41, bitIndex0)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30878,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB41, bitIndex0) | (~v88(constB41, bitIndex0)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30879,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB41, bitIndex0) | (~v88(constB41, bitIndex0))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30878, 30877])).
% 40.74/27.19 tff(30880,plain,
% 40.74/27.19 (~v88(constB41, bitIndex0)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30879, 14645, 5814])).
% 40.74/27.19 tff(30881,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30882,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30883,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1)),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30882, 30881])).
% 40.74/27.19 tff(30884,plain,
% 40.74/27.19 (v88(constB41, bitIndex1)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30883, 21131, 5805])).
% 40.74/27.19 tff(30885,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | v88(constB41, bitIndex0) | (~v88(constB41, bitIndex1)) | v143(constB41))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0) | (~v88(constB41, bitIndex1)) | v143(constB41))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30886,plain,
% 40.74/27.19 ((v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41)) <=> (v88(constB41, bitIndex2) | v88(constB41, bitIndex0) | (~v88(constB41, bitIndex1)) | v143(constB41))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30887,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | v88(constB41, bitIndex0) | (~v88(constB41, bitIndex1)) | v143(constB41)))),
% 40.74/27.19 inference(monotonicity,[status(thm)],[30886])).
% 40.74/27.19 tff(30888,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0) | (~v88(constB41, bitIndex1)) | v143(constB41))),
% 40.74/27.19 inference(transitivity,[status(thm)],[30887, 30885])).
% 40.74/27.19 tff(30889,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30890,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0) | (~v88(constB41, bitIndex1)) | v143(constB41)),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30889, 30888])).
% 40.74/27.19 tff(30891,plain,
% 40.74/27.19 (v88(constB41, bitIndex2) | v143(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30890, 22766, 30884, 30880])).
% 40.74/27.19 tff(30892,plain,
% 40.74/27.19 (v143(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30891, 30876])).
% 40.74/27.19 tff(30893,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB41) | (~v143(constB41)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB41) | (~v143(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30894,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB41) | (~v143(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30895,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB41) | (~v143(constB41))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30894, 30893])).
% 40.74/27.19 tff(30896,plain,
% 40.74/27.19 (v142(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30895, 22780, 30892])).
% 40.74/27.19 tff(30897,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB41) | (~v142(constB41)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB41) | (~v142(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30898,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB41) | (~v142(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30899,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB41) | (~v142(constB41))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30898, 30897])).
% 40.74/27.19 tff(30900,plain,
% 40.74/27.19 (v166(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30899, 21170, 30896])).
% 40.74/27.19 tff(30901,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB41) | (~v166(constB41)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB41) | (~v166(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30902,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB41) | (~v166(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30903,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB41) | (~v166(constB41))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30902, 30901])).
% 40.74/27.19 tff(30904,plain,
% 40.74/27.19 (v165(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30903, 21181, 30900])).
% 40.74/27.19 tff(30905,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB41)) | (~v88(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB41)) | (~v88(constB41, bitIndex1)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30906,plain,
% 40.74/27.19 (((~v88(constB41, bitIndex1)) | (~v139(constB41))) <=> ((~v139(constB41)) | (~v88(constB41, bitIndex1)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30907,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB41, bitIndex1)) | (~v139(constB41)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB41)) | (~v88(constB41, bitIndex1))))),
% 40.74/27.19 inference(monotonicity,[status(thm)],[30906])).
% 40.74/27.19 tff(30908,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB41, bitIndex1)) | (~v139(constB41)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB41)) | (~v88(constB41, bitIndex1)))),
% 40.74/27.19 inference(transitivity,[status(thm)],[30907, 30905])).
% 40.74/27.19 tff(30909,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB41, bitIndex1)) | (~v139(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30910,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB41)) | (~v88(constB41, bitIndex1))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30909, 30908])).
% 40.74/27.19 tff(30911,plain,
% 40.74/27.19 (~v139(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30910, 21192, 30884])).
% 40.74/27.19 tff(30912,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB41)) | (~v88(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB41)) | (~v88(constB41, bitIndex1)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30913,plain,
% 40.74/27.19 (((~v88(constB41, bitIndex1)) | (~v140(constB41))) <=> ((~v140(constB41)) | (~v88(constB41, bitIndex1)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30914,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB41, bitIndex1)) | (~v140(constB41)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB41)) | (~v88(constB41, bitIndex1))))),
% 40.74/27.19 inference(monotonicity,[status(thm)],[30913])).
% 40.74/27.19 tff(30915,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB41, bitIndex1)) | (~v140(constB41)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB41)) | (~v88(constB41, bitIndex1)))),
% 40.74/27.19 inference(transitivity,[status(thm)],[30914, 30912])).
% 40.74/27.19 tff(30916,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB41, bitIndex1)) | (~v140(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30917,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB41)) | (~v88(constB41, bitIndex1))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30916, 30915])).
% 40.74/27.19 tff(30918,plain,
% 40.74/27.19 (~v140(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30917, 21203, 30884])).
% 40.74/27.19 tff(30919,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB41)) | v140(constB41) | v139(constB41))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB41)) | v140(constB41) | v139(constB41))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30920,plain,
% 40.74/27.19 ((v140(constB41) | v139(constB41) | (~v170(constB41))) <=> ((~v170(constB41)) | v140(constB41) | v139(constB41))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30921,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB41) | v139(constB41) | (~v170(constB41)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB41)) | v140(constB41) | v139(constB41)))),
% 40.74/27.19 inference(monotonicity,[status(thm)],[30920])).
% 40.74/27.19 tff(30922,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB41) | v139(constB41) | (~v170(constB41)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB41)) | v140(constB41) | v139(constB41))),
% 40.74/27.19 inference(transitivity,[status(thm)],[30921, 30919])).
% 40.74/27.19 tff(30923,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB41) | v139(constB41) | (~v170(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30924,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB41)) | v140(constB41) | v139(constB41)),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30923, 30922])).
% 40.74/27.19 tff(30925,plain,
% 40.74/27.19 (~v170(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30924, 10647, 30918, 30911])).
% 40.74/27.19 tff(30926,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB41, bitIndex0) | (~v141(constB41)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB41, bitIndex0) | (~v141(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30927,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB41, bitIndex0) | (~v141(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30928,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB41, bitIndex0) | (~v141(constB41))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30927, 30926])).
% 40.74/27.19 tff(30929,plain,
% 40.74/27.19 (~v141(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30928, 22820, 30880])).
% 40.74/27.19 tff(30930,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB41) | v170(constB41) | (~v169(constB41)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB41) | v170(constB41) | (~v169(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30931,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB41) | v170(constB41) | (~v169(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30932,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB41) | v170(constB41) | (~v169(constB41))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30931, 30930])).
% 40.74/27.19 tff(30933,plain,
% 40.74/27.19 (~v169(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30932, 11040, 30929, 30925])).
% 40.74/27.19 tff(30934,plain,
% 40.74/27.19 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB41)) | (~v165(constB41)) | v169(constB41))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB41)) | (~v165(constB41)) | v169(constB41))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30935,plain,
% 40.74/27.19 (((~v165(constB41)) | v169(constB41) | (~v162(constB41))) <=> ((~v162(constB41)) | (~v165(constB41)) | v169(constB41))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30936,plain,
% 40.74/27.19 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB41)) | v169(constB41) | (~v162(constB41)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB41)) | (~v165(constB41)) | v169(constB41)))),
% 40.74/27.19 inference(monotonicity,[status(thm)],[30935])).
% 40.74/27.19 tff(30937,plain,
% 40.74/27.19 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB41)) | v169(constB41) | (~v162(constB41)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB41)) | (~v165(constB41)) | v169(constB41))),
% 40.74/27.19 inference(transitivity,[status(thm)],[30936, 30934])).
% 40.74/27.19 tff(30938,plain,
% 40.74/27.19 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB41)) | v169(constB41) | (~v162(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30939,plain,
% 40.74/27.19 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB41)) | (~v165(constB41)) | v169(constB41)),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30938, 30937])).
% 40.74/27.19 tff(30940,plain,
% 40.74/27.19 ((~v162(constB41)) | (~v165(constB41))),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30939, 11073, 30933])).
% 40.74/27.19 tff(30941,plain,
% 40.74/27.19 (~v162(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30940, 30904])).
% 40.74/27.19 tff(30942,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB41) | (~v187(constB41)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB41) | (~v187(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30943,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB41) | (~v187(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30944,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB41) | (~v187(constB41))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30943, 30942])).
% 40.74/27.19 tff(30945,plain,
% 40.74/27.19 (~v187(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30944, 11087, 30941])).
% 40.74/27.19 tff(30946,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB41) | (~v185(constB41)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB41) | (~v185(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30947,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB41) | (~v185(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30948,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB41) | (~v185(constB41))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30947, 30946])).
% 40.74/27.19 tff(30949,plain,
% 40.74/27.19 (~v185(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30948, 11098, 30945])).
% 40.74/27.19 tff(30950,assumption,(v18(constB42)), introduced(assumption)).
% 40.74/27.19 tff(30951,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB42))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30952,plain,
% 40.74/27.19 ($false),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30951, 11110, 30950])).
% 40.74/27.19 tff(30953,plain,(~v18(constB42)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.19 tff(30954,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30955,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30956,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30955, 30954])).
% 40.74/27.19 tff(30957,plain,
% 40.74/27.19 (v22(constB42)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30956, 11120, 5875])).
% 40.74/27.19 tff(30958,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB42)) | (~v22(constB42)) | v18(constB42))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB42)) | (~v22(constB42)) | v18(constB42))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30959,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB42)) | (~v22(constB42)) | v18(constB42))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30960,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB42)) | (~v22(constB42)) | v18(constB42)),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30959, 30958])).
% 40.74/27.19 tff(30961,plain,
% 40.74/27.19 ((~v19(constB42)) | v18(constB42)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30960, 11134, 30957])).
% 40.74/27.19 tff(30962,plain,
% 40.74/27.19 (~v19(constB42)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30961, 30953])).
% 40.74/27.19 tff(30963,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30964,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30965,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42)),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30964, 30963])).
% 40.74/27.19 tff(30966,plain,
% 40.74/27.19 (v13(constB42)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30965, 11149, 30962])).
% 40.74/27.19 tff(30967,plain,
% 40.74/27.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30968,plain,
% 40.74/27.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30969,plain,
% 40.74/27.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41)),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30968, 30967])).
% 40.74/27.19 tff(30970,plain,
% 40.74/27.19 ((~v13(constB42)) | v9(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30969, 11163, 5855])).
% 40.74/27.19 tff(30971,plain,
% 40.74/27.19 (v9(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30970, 30966])).
% 40.74/27.19 tff(30972,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v184(constB41))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB41) | (~v9(constB41)) | v184(constB41))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30973,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v184(constB41))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30974,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB41) | (~v9(constB41)) | v184(constB41)),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30973, 30972])).
% 40.74/27.19 tff(30975,plain,
% 40.74/27.19 ((~v9(constB41)) | v184(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30974, 11178, 5497])).
% 40.74/27.19 tff(30976,plain,
% 40.74/27.19 (v184(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30975, 30971])).
% 40.74/27.19 tff(30977,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB41) | (~v184(constB41)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB41) | (~v184(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30978,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB41) | (~v184(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30979,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB41) | (~v184(constB41))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30978, 30977])).
% 40.74/27.19 tff(30980,plain,
% 40.74/27.19 (v183(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30979, 11190, 30976])).
% 40.74/27.19 tff(30981,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB41)) | (~v183(constB41)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB41)) | (~v183(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30982,plain,
% 40.74/27.19 (((~v183(constB41)) | (~v181(constB41))) <=> ((~v181(constB41)) | (~v183(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30983,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB41)) | (~v181(constB41)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB41)) | (~v183(constB41))))),
% 40.74/27.19 inference(monotonicity,[status(thm)],[30982])).
% 40.74/27.19 tff(30984,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB41)) | (~v181(constB41)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB41)) | (~v183(constB41)))),
% 40.74/27.19 inference(transitivity,[status(thm)],[30983, 30981])).
% 40.74/27.19 tff(30985,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB41)) | (~v181(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30986,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB41)) | (~v183(constB41))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30985, 30984])).
% 40.74/27.19 tff(30987,plain,
% 40.74/27.19 (~v181(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30986, 11201, 30980])).
% 40.74/27.19 tff(30988,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB41) | v185(constB41) | (~v178(constB41)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB41) | v185(constB41) | (~v178(constB41)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30989,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB41) | v185(constB41) | (~v178(constB41)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30990,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB41) | v185(constB41) | (~v178(constB41))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30989, 30988])).
% 40.74/27.19 tff(30991,plain,
% 40.74/27.19 (v185(constB41) | (~v178(constB41))),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30990, 11215, 30987])).
% 40.74/27.19 tff(30992,plain,
% 40.74/27.19 (~v178(constB41)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30991, 30949])).
% 40.74/27.19 tff(30993,plain,
% 40.74/27.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30994,plain,
% 40.74/27.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(30995,plain,
% 40.74/27.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30994, 30993])).
% 40.74/27.19 tff(30996,plain,
% 40.74/27.19 (v178(constB41) | (~v180(constB42))),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30995, 11230, 5855])).
% 40.74/27.19 tff(30997,plain,
% 40.74/27.19 (~v180(constB42)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[30996, 30992])).
% 40.74/27.19 tff(30998,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB42) | (~v181(constB42)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB42) | (~v181(constB42)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(30999,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB42) | (~v181(constB42)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(31000,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB42) | (~v181(constB42))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[30999, 30998])).
% 40.74/27.19 tff(31001,plain,
% 40.74/27.19 (~v181(constB42)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[31000, 11242, 30997])).
% 40.74/27.19 tff(31002,plain,
% 40.74/27.19 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB42)) | (~v184(constB42)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB42)) | (~v184(constB42)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(31003,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB42)) | (~v184(constB42)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(31004,plain,
% 40.74/27.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB42)) | (~v184(constB42))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[31003, 31002])).
% 40.74/27.19 tff(31005,plain,
% 40.74/27.19 (~v184(constB42)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[31004, 11253, 5875])).
% 40.74/27.19 tff(31006,plain,
% 40.74/27.19 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB42) | (~v187(constB42)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB42) | (~v187(constB42)))),
% 40.74/27.19 inference(rewrite,[status(thm)],[])).
% 40.74/27.19 tff(31007,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB42) | (~v187(constB42)))),
% 40.74/27.19 inference(quant_inst,[status(thm)],[])).
% 40.74/27.19 tff(31008,plain,
% 40.74/27.19 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB42) | (~v187(constB42))),
% 40.74/27.19 inference(modus_ponens,[status(thm)],[31007, 31006])).
% 40.74/27.19 tff(31009,plain,
% 40.74/27.19 (~v187(constB42)),
% 40.74/27.19 inference(unit_resolution,[status(thm)],[31008, 11264, 31005])).
% 40.74/27.19 tff(31010,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB42) | (~v185(constB42)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB42) | (~v185(constB42)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31011,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB42) | (~v185(constB42)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31012,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB42) | (~v185(constB42))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31011, 31010])).
% 40.74/27.20 tff(31013,plain,
% 40.74/27.20 (~v185(constB42)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31012, 11098, 31009])).
% 40.74/27.20 tff(31014,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB42) | v185(constB42) | (~v178(constB42)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB42) | v185(constB42) | (~v178(constB42)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31015,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB42) | v185(constB42) | (~v178(constB42)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31016,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB42) | v185(constB42) | (~v178(constB42))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31015, 31014])).
% 40.74/27.20 tff(31017,plain,
% 40.74/27.20 (v181(constB42) | (~v178(constB42))),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31016, 11215, 31013])).
% 40.74/27.20 tff(31018,plain,
% 40.74/27.20 (~v178(constB42)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31017, 31001])).
% 40.74/27.20 tff(31019,plain,
% 40.74/27.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31020,plain,
% 40.74/27.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31021,plain,
% 40.74/27.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31020, 31019])).
% 40.74/27.20 tff(31022,plain,
% 40.74/27.20 (v178(constB42) | (~v180(constB43))),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31021, 11230, 5920])).
% 40.74/27.20 tff(31023,plain,
% 40.74/27.20 (~v180(constB43)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31022, 31018])).
% 40.74/27.20 tff(31024,plain,
% 40.74/27.20 ($false),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31023, 30872])).
% 40.74/27.20 tff(31025,plain,((~(constB43 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.74/27.20 tff(31026,plain,
% 40.74/27.20 (~(constB43 = sK0_VarCurr)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31025, 10998])).
% 40.74/27.20 tff(31027,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB155) | v170(constB155) | (~v167(constB155)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB155) | v170(constB155) | (~v167(constB155)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31028,plain,
% 40.74/27.20 ((v141(constB155) | (~v167(constB155)) | v170(constB155)) <=> (v141(constB155) | v170(constB155) | (~v167(constB155)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31029,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB155) | (~v167(constB155)) | v170(constB155))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB155) | v170(constB155) | (~v167(constB155))))),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31028])).
% 40.74/27.20 tff(31030,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB155) | (~v167(constB155)) | v170(constB155))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB155) | v170(constB155) | (~v167(constB155)))),
% 40.74/27.20 inference(transitivity,[status(thm)],[31029, 31027])).
% 40.74/27.20 tff(31031,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB155) | (~v167(constB155)) | v170(constB155))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31032,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB155) | v170(constB155) | (~v167(constB155))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31031, 31030])).
% 40.74/27.20 tff(31033,plain,
% 40.74/27.20 (~v167(constB155)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31032, 10672, 28154, 28150])).
% 40.74/27.20 tff(31034,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v143(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v143(constB155)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31035,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v143(constB155)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31036,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v143(constB155))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31035, 31034])).
% 40.74/27.20 tff(31037,plain,
% 40.74/27.20 (~v143(constB155)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31036, 10686, 28142])).
% 40.74/27.20 tff(31038,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v144(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v144(constB155)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31039,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v144(constB155)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31040,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v144(constB155))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31039, 31038])).
% 40.74/27.20 tff(31041,plain,
% 40.74/27.20 (~v144(constB155)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31040, 10697, 28142])).
% 40.74/27.20 tff(31042,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB155) | v144(constB155) | (~v142(constB155)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB155) | v144(constB155) | (~v142(constB155)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31043,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB155) | v144(constB155) | (~v142(constB155)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31044,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB155) | v144(constB155) | (~v142(constB155))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31043, 31042])).
% 40.74/27.20 tff(31045,plain,
% 40.74/27.20 (~v142(constB155)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31044, 10711, 31041, 31037])).
% 40.74/27.20 tff(31046,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | ((~v166(constB155)) | v167(constB155) | v142(constB155))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB155)) | v167(constB155) | v142(constB155))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31047,plain,
% 40.74/27.20 ((v142(constB155) | (~v166(constB155)) | v167(constB155)) <=> ((~v166(constB155)) | v167(constB155) | v142(constB155))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31048,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB155) | (~v166(constB155)) | v167(constB155))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | ((~v166(constB155)) | v167(constB155) | v142(constB155)))),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31047])).
% 40.74/27.20 tff(31049,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB155) | (~v166(constB155)) | v167(constB155))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB155)) | v167(constB155) | v142(constB155))),
% 40.74/27.20 inference(transitivity,[status(thm)],[31048, 31046])).
% 40.74/27.20 tff(31050,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB155) | (~v166(constB155)) | v167(constB155))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31051,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (~v166(constB155)) | v167(constB155) | v142(constB155)),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31050, 31049])).
% 40.74/27.20 tff(31052,plain,
% 40.74/27.20 (~v166(constB155)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31051, 10725, 31045, 31033])).
% 40.74/27.20 tff(31053,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB155) | v166(constB155))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB155) | v166(constB155))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31054,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB155) | v166(constB155))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31055,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB155) | v166(constB155)),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31054, 31053])).
% 40.74/27.20 tff(31056,plain,
% 40.74/27.20 (v148(constB155)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31055, 10739, 31052])).
% 40.74/27.20 tff(31057,plain,
% 40.74/27.20 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB155) | (~v148(constB155)) | (~v165(constB155)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB155) | (~v148(constB155)) | (~v165(constB155)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31058,plain,
% 40.74/27.20 (((~v148(constB155)) | (~v165(constB155)) | v86(constB155)) <=> (v86(constB155) | (~v148(constB155)) | (~v165(constB155)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31059,plain,
% 40.74/27.20 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB155)) | (~v165(constB155)) | v86(constB155))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB155) | (~v148(constB155)) | (~v165(constB155))))),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31058])).
% 40.74/27.20 tff(31060,plain,
% 40.74/27.20 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB155)) | (~v165(constB155)) | v86(constB155))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB155) | (~v148(constB155)) | (~v165(constB155)))),
% 40.74/27.20 inference(transitivity,[status(thm)],[31059, 31057])).
% 40.74/27.20 tff(31061,plain,
% 40.74/27.20 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB155)) | (~v165(constB155)) | v86(constB155))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31062,plain,
% 40.74/27.20 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB155) | (~v148(constB155)) | (~v165(constB155))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31061, 31060])).
% 40.74/27.20 tff(31063,plain,
% 40.74/27.20 (v86(constB155) | (~v148(constB155))),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31062, 10837, 28183])).
% 40.74/27.20 tff(31064,plain,
% 40.74/27.20 (v86(constB155)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31063, 31056])).
% 40.74/27.20 tff(31065,assumption,(constB155 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.20 tff(31066,plain,
% 40.74/27.20 (v86(constB155) <=> v86(sK0_VarCurr)),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31065])).
% 40.74/27.20 tff(31067,plain,
% 40.74/27.20 (v86(sK0_VarCurr) <=> v86(constB155)),
% 40.74/27.20 inference(symmetry,[status(thm)],[31066])).
% 40.74/27.20 tff(31068,plain,
% 40.74/27.20 ((~v86(sK0_VarCurr)) <=> (~v86(constB155))),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31067])).
% 40.74/27.20 tff(31069,plain,
% 40.74/27.20 (~v86(constB155)),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[77, 31068])).
% 40.74/27.20 tff(31070,assumption,(v86(constB155)), introduced(assumption)).
% 40.74/27.20 tff(31071,plain,
% 40.74/27.20 ($false),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31070, 31069])).
% 40.74/27.20 tff(31072,plain,((~(constB155 = sK0_VarCurr)) | (~v86(constB155)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.20 tff(31073,plain,
% 40.74/27.20 ((~(constB155 = sK0_VarCurr)) | v86(sK0_VarCurr)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31072, 31064])).
% 40.74/27.20 tff(31074,plain,
% 40.74/27.20 (~(constB155 = sK0_VarCurr)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31073, 72])).
% 40.74/27.20 tff(31075,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31076,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31077,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2)),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31076, 31075])).
% 40.74/27.20 tff(31078,plain,
% 40.74/27.20 (v88(constB191, bitIndex2)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31077, 10566, 26157])).
% 40.74/27.20 tff(31079,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB191, bitIndex2)) | (~v140(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB191, bitIndex2)) | (~v140(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31080,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB191, bitIndex2)) | (~v140(constB191)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31081,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB191, bitIndex2)) | (~v140(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31080, 31079])).
% 40.74/27.20 tff(31082,plain,
% 40.74/27.20 (~v140(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31081, 10577, 31078])).
% 40.74/27.20 tff(31083,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31084,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31085,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0)),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31084, 31083])).
% 40.74/27.20 tff(31086,plain,
% 40.74/27.20 (v88(constB191, bitIndex0)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31085, 10622, 26222])).
% 40.74/27.20 tff(31087,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v139(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v139(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31088,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v139(constB191)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31089,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v139(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31088, 31087])).
% 40.74/27.20 tff(31090,plain,
% 40.74/27.20 (~v139(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31089, 10633, 31086])).
% 40.74/27.20 tff(31091,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB191) | v139(constB191) | (~v170(constB191)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB191) | v139(constB191) | (~v170(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31092,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB191) | v139(constB191) | (~v170(constB191)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31093,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB191) | v139(constB191) | (~v170(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31092, 31091])).
% 40.74/27.20 tff(31094,plain,
% 40.74/27.20 (~v170(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31093, 10647, 31090, 31082])).
% 40.74/27.20 tff(31095,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB191, bitIndex2)) | (~v141(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB191, bitIndex2)) | (~v141(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31096,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB191, bitIndex2)) | (~v141(constB191)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31097,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB191, bitIndex2)) | (~v141(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31096, 31095])).
% 40.74/27.20 tff(31098,plain,
% 40.74/27.20 (~v141(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31097, 10658, 31078])).
% 40.74/27.20 tff(31099,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB191) | v170(constB191) | (~v167(constB191)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB191) | v170(constB191) | (~v167(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31100,plain,
% 40.74/27.20 ((v141(constB191) | (~v167(constB191)) | v170(constB191)) <=> (v141(constB191) | v170(constB191) | (~v167(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31101,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB191) | (~v167(constB191)) | v170(constB191))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB191) | v170(constB191) | (~v167(constB191))))),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31100])).
% 40.74/27.20 tff(31102,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB191) | (~v167(constB191)) | v170(constB191))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB191) | v170(constB191) | (~v167(constB191)))),
% 40.74/27.20 inference(transitivity,[status(thm)],[31101, 31099])).
% 40.74/27.20 tff(31103,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB191) | (~v167(constB191)) | v170(constB191))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31104,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB191) | v170(constB191) | (~v167(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31103, 31102])).
% 40.74/27.20 tff(31105,plain,
% 40.74/27.20 (~v167(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31104, 10672, 31098, 31094])).
% 40.74/27.20 tff(31106,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v143(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v143(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31107,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v143(constB191)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31108,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v143(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31107, 31106])).
% 40.74/27.20 tff(31109,plain,
% 40.74/27.20 (~v143(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31108, 10686, 31086])).
% 40.74/27.20 tff(31110,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v144(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v144(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31111,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v144(constB191)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31112,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v144(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31111, 31110])).
% 40.74/27.20 tff(31113,plain,
% 40.74/27.20 (~v144(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31112, 10697, 31086])).
% 40.74/27.20 tff(31114,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB191) | v144(constB191) | (~v142(constB191)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB191) | v144(constB191) | (~v142(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31115,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB191) | v144(constB191) | (~v142(constB191)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31116,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB191) | v144(constB191) | (~v142(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31115, 31114])).
% 40.74/27.20 tff(31117,plain,
% 40.74/27.20 (~v142(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31116, 10711, 31113, 31109])).
% 40.74/27.20 tff(31118,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB191) | v142(constB191) | (~v166(constB191)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB191) | v142(constB191) | (~v166(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31119,plain,
% 40.74/27.20 ((v142(constB191) | (~v166(constB191)) | v167(constB191)) <=> (v167(constB191) | v142(constB191) | (~v166(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31120,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB191) | (~v166(constB191)) | v167(constB191))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB191) | v142(constB191) | (~v166(constB191))))),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31119])).
% 40.74/27.20 tff(31121,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB191) | (~v166(constB191)) | v167(constB191))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB191) | v142(constB191) | (~v166(constB191)))),
% 40.74/27.20 inference(transitivity,[status(thm)],[31120, 31118])).
% 40.74/27.20 tff(31122,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB191) | (~v166(constB191)) | v167(constB191))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31123,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB191) | v142(constB191) | (~v166(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31122, 31121])).
% 40.74/27.20 tff(31124,plain,
% 40.74/27.20 (~v166(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31123, 10725, 31117, 31105])).
% 40.74/27.20 tff(31125,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB191) | v166(constB191))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB191) | v166(constB191))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31126,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB191) | v166(constB191))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31127,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB191) | v166(constB191)),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31126, 31125])).
% 40.74/27.20 tff(31128,plain,
% 40.74/27.20 (v148(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31127, 10739, 31124])).
% 40.74/27.20 tff(31129,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31130,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31131,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31130, 31129])).
% 40.74/27.20 tff(31132,plain,
% 40.74/27.20 (~v88(constB191, bitIndex1)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31131, 10784, 26191])).
% 40.74/27.20 tff(31133,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31134,plain,
% 40.74/27.20 (((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191)) <=> ((~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31135,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1)))),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31134])).
% 40.74/27.20 tff(31136,plain,
% 40.74/27.20 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1))),
% 40.74/27.20 inference(transitivity,[status(thm)],[31135, 31133])).
% 40.74/27.20 tff(31137,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31138,plain,
% 40.74/27.20 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1)),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31137, 31136])).
% 40.74/27.20 tff(31139,plain,
% 40.74/27.20 (v147(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31138, 10798, 31086, 31078, 31132])).
% 40.74/27.20 tff(31140,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB191) | (~v147(constB191)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB191) | (~v147(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31141,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB191) | (~v147(constB191)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31142,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB191) | (~v147(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31141, 31140])).
% 40.74/27.20 tff(31143,plain,
% 40.74/27.20 (v145(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31142, 10812, 31139])).
% 40.74/27.20 tff(31144,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB191) | (~v145(constB191)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB191) | (~v145(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31145,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB191) | (~v145(constB191)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31146,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB191) | (~v145(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31145, 31144])).
% 40.74/27.20 tff(31147,plain,
% 40.74/27.20 (v165(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31146, 10823, 31143])).
% 40.74/27.20 tff(31148,plain,
% 40.74/27.20 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB191) | (~v148(constB191)) | (~v165(constB191)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB191) | (~v148(constB191)) | (~v165(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31149,plain,
% 40.74/27.20 (((~v148(constB191)) | (~v165(constB191)) | v86(constB191)) <=> (v86(constB191) | (~v148(constB191)) | (~v165(constB191)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31150,plain,
% 40.74/27.20 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB191)) | (~v165(constB191)) | v86(constB191))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB191) | (~v148(constB191)) | (~v165(constB191))))),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31149])).
% 40.74/27.20 tff(31151,plain,
% 40.74/27.20 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB191)) | (~v165(constB191)) | v86(constB191))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB191) | (~v148(constB191)) | (~v165(constB191)))),
% 40.74/27.20 inference(transitivity,[status(thm)],[31150, 31148])).
% 40.74/27.20 tff(31152,plain,
% 40.74/27.20 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB191)) | (~v165(constB191)) | v86(constB191))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31153,plain,
% 40.74/27.20 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB191) | (~v148(constB191)) | (~v165(constB191))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31152, 31151])).
% 40.74/27.20 tff(31154,plain,
% 40.74/27.20 (v86(constB191) | (~v148(constB191))),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31153, 10837, 31147])).
% 40.74/27.20 tff(31155,plain,
% 40.74/27.20 (v86(constB191)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31154, 31128])).
% 40.74/27.20 tff(31156,assumption,(constB191 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.20 tff(31157,plain,
% 40.74/27.20 (v86(constB191) <=> v86(sK0_VarCurr)),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31156])).
% 40.74/27.20 tff(31158,plain,
% 40.74/27.20 (v86(sK0_VarCurr) <=> v86(constB191)),
% 40.74/27.20 inference(symmetry,[status(thm)],[31157])).
% 40.74/27.20 tff(31159,plain,
% 40.74/27.20 ((~v86(sK0_VarCurr)) <=> (~v86(constB191))),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31158])).
% 40.74/27.20 tff(31160,plain,
% 40.74/27.20 (~v86(constB191)),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[77, 31159])).
% 40.74/27.20 tff(31161,assumption,(v86(constB191)), introduced(assumption)).
% 40.74/27.20 tff(31162,plain,
% 40.74/27.20 ($false),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31161, 31160])).
% 40.74/27.20 tff(31163,plain,((~(constB191 = sK0_VarCurr)) | (~v86(constB191)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.20 tff(31164,plain,
% 40.74/27.20 ((~(constB191 = sK0_VarCurr)) | v86(sK0_VarCurr)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31163, 31155])).
% 40.74/27.20 tff(31165,plain,
% 40.74/27.20 (~(constB191 = sK0_VarCurr)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31164, 72])).
% 40.74/27.20 tff(31166,assumption,(constB3 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.20 tff(31167,plain,
% 40.74/27.20 (v180(constB3) <=> v180(sK0_VarCurr)),
% 40.74/27.20 inference(monotonicity,[status(thm)],[31166])).
% 40.74/27.20 tff(31168,plain,
% 40.74/27.20 (v180(sK0_VarCurr) <=> v180(constB3)),
% 40.74/27.20 inference(symmetry,[status(thm)],[31167])).
% 40.74/27.20 tff(31169,plain,
% 40.74/27.20 (v180(constB3)),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[11002, 31168])).
% 40.74/27.20 tff(31170,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB1, bitIndex2) | (~v88(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB1, bitIndex2) | (~v88(constB1, bitIndex2)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31171,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB1, bitIndex2) | (~v88(constB1, bitIndex2)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31172,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB1, bitIndex2) | (~v88(constB1, bitIndex2))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31171, 31170])).
% 40.74/27.20 tff(31173,plain,
% 40.74/27.20 (~v88(constB1, bitIndex2)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31172, 22090, 176])).
% 40.74/27.20 tff(31174,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB1, bitIndex1) | (~v88(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB1, bitIndex1) | (~v88(constB1, bitIndex1)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31175,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB1, bitIndex1) | (~v88(constB1, bitIndex1)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31176,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB1, bitIndex1) | (~v88(constB1, bitIndex1))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31175, 31174])).
% 40.74/27.20 tff(31177,plain,
% 40.74/27.20 (~v88(constB1, bitIndex1)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31176, 10784, 197])).
% 40.74/27.20 tff(31178,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB1, bitIndex0) | (~v88(constB1, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB1, bitIndex0) | (~v88(constB1, bitIndex0)))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31179,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB1, bitIndex0) | (~v88(constB1, bitIndex0)))),
% 40.74/27.20 inference(quant_inst,[status(thm)],[])).
% 40.74/27.20 tff(31180,plain,
% 40.74/27.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB1, bitIndex0) | (~v88(constB1, bitIndex0))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31179, 31178])).
% 40.74/27.20 tff(31181,plain,
% 40.74/27.20 (~v88(constB1, bitIndex0)),
% 40.74/27.20 inference(unit_resolution,[status(thm)],[31180, 14645, 218])).
% 40.74/27.20 tff(31182,plain,
% 40.74/27.20 (^[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)))),
% 40.74/27.20 inference(bind,[status(th)],[])).
% 40.74/27.20 tff(31183,plain,
% 40.74/27.20 (![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))),
% 40.74/27.20 inference(quant_intro,[status(thm)],[31182])).
% 40.74/27.20 tff(31184,plain,
% 40.74/27.20 (![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))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31185,plain,
% 40.74/27.20 (^[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))))),
% 40.74/27.20 inference(bind,[status(th)],[])).
% 40.74/27.20 tff(31186,plain,
% 40.74/27.20 (![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))),
% 40.74/27.20 inference(quant_intro,[status(thm)],[31185])).
% 40.74/27.20 tff(31187,axiom,(![VarCurr: $i] : (((v139(VarCurr) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 40.74/27.20 tff(31188,plain,
% 40.74/27.20 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31187, 31186])).
% 40.74/27.20 tff(31189,plain,
% 40.74/27.20 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31188, 31184])).
% 40.74/27.20 tff(31190,plain,(
% 40.74/27.20 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 40.74/27.20 inference(skolemize,[status(sab)],[31189])).
% 40.74/27.20 tff(31191,plain,
% 40.74/27.20 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 40.74/27.20 inference(modus_ponens,[status(thm)],[31190, 31183])).
% 40.74/27.20 tff(31192,plain,
% 40.74/27.20 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 40.74/27.20 inference(rewrite,[status(thm)],[])).
% 40.74/27.20 tff(31193,plain,
% 40.74/27.20 ((v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1)) <=> (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31194,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1)))),
% 40.74/27.21 inference(monotonicity,[status(thm)],[31193])).
% 40.74/27.21 tff(31195,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 40.74/27.21 inference(transitivity,[status(thm)],[31194, 31192])).
% 40.74/27.21 tff(31196,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31197,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1)),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31196, 31195])).
% 40.74/27.21 tff(31198,plain,
% 40.74/27.21 (v139(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31197, 31191, 31181, 31177, 31173])).
% 40.74/27.21 tff(31199,plain,
% 40.74/27.21 (^[VarCurr: $i] : refl((v170(VarCurr) | (~v139(VarCurr))) <=> (v170(VarCurr) | (~v139(VarCurr))))),
% 40.74/27.21 inference(bind,[status(th)],[])).
% 40.74/27.21 tff(31200,plain,
% 40.74/27.21 (![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr)))),
% 40.74/27.21 inference(quant_intro,[status(thm)],[31199])).
% 40.74/27.21 tff(31201,plain,
% 40.74/27.21 (![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31202,axiom,(![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_2')).
% 40.74/27.21 tff(31203,plain,
% 40.74/27.21 (![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr)))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31202, 31201])).
% 40.74/27.21 tff(31204,plain,(
% 40.74/27.21 ![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr)))),
% 40.74/27.21 inference(skolemize,[status(sab)],[31203])).
% 40.74/27.21 tff(31205,plain,
% 40.74/27.21 (![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr)))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31204, 31200])).
% 40.74/27.21 tff(31206,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr)))) | (v170(constB1) | (~v139(constB1)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr)))) | v170(constB1) | (~v139(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31207,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr)))) | (v170(constB1) | (~v139(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31208,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v170(VarCurr) | (~v139(VarCurr)))) | v170(constB1) | (~v139(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31207, 31206])).
% 40.74/27.21 tff(31209,plain,
% 40.74/27.21 (v170(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31208, 31205, 31198])).
% 40.74/27.21 tff(31210,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB1) | (~v170(constB1)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB1) | (~v170(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31211,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB1) | (~v170(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31212,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB1) | (~v170(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31211, 31210])).
% 40.74/27.21 tff(31213,plain,
% 40.74/27.21 (v167(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31212, 26659, 31209])).
% 40.74/27.21 tff(31214,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31215,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31216,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31215, 31214])).
% 40.74/27.21 tff(31217,plain,
% 40.74/27.21 (v166(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31216, 22146, 31213])).
% 40.74/27.21 tff(31218,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB1) | (~v166(constB1)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB1) | (~v166(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31219,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB1) | (~v166(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31220,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB1) | (~v166(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31219, 31218])).
% 40.74/27.21 tff(31221,plain,
% 40.74/27.21 (v165(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31220, 21181, 31217])).
% 40.74/27.21 tff(31222,plain,
% 40.74/27.21 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB1)) | (~v170(constB1)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB1)) | (~v170(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31223,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB1)) | (~v170(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31224,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB1)) | (~v170(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31223, 31222])).
% 40.74/27.21 tff(31225,plain,
% 40.74/27.21 (~v169(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31224, 26678, 31209])).
% 40.74/27.21 tff(31226,plain,
% 40.74/27.21 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB1)) | v169(constB1) | (~v165(constB1)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB1)) | v169(constB1) | (~v165(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31227,plain,
% 40.74/27.21 (((~v165(constB1)) | v169(constB1) | (~v162(constB1))) <=> ((~v162(constB1)) | v169(constB1) | (~v165(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31228,plain,
% 40.74/27.21 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB1)) | v169(constB1) | (~v162(constB1)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB1)) | v169(constB1) | (~v165(constB1))))),
% 40.74/27.21 inference(monotonicity,[status(thm)],[31227])).
% 40.74/27.21 tff(31229,plain,
% 40.74/27.21 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB1)) | v169(constB1) | (~v162(constB1)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB1)) | v169(constB1) | (~v165(constB1)))),
% 40.74/27.21 inference(transitivity,[status(thm)],[31228, 31226])).
% 40.74/27.21 tff(31230,plain,
% 40.74/27.21 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB1)) | v169(constB1) | (~v162(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31231,plain,
% 40.74/27.21 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB1)) | v169(constB1) | (~v165(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31230, 31229])).
% 40.74/27.21 tff(31232,plain,
% 40.74/27.21 ((~v162(constB1)) | (~v165(constB1))),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31231, 11073, 31225])).
% 40.74/27.21 tff(31233,plain,
% 40.74/27.21 (~v162(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31232, 31221])).
% 40.74/27.21 tff(31234,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB1) | (~v187(constB1)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB1) | (~v187(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31235,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB1) | (~v187(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31236,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB1) | (~v187(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31235, 31234])).
% 40.74/27.21 tff(31237,plain,
% 40.74/27.21 (~v187(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31236, 11087, 31233])).
% 40.74/27.21 tff(31238,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB1) | (~v185(constB1)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB1) | (~v185(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31239,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB1) | (~v185(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31240,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB1) | (~v185(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31239, 31238])).
% 40.74/27.21 tff(31241,plain,
% 40.74/27.21 (~v185(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31240, 11098, 31237])).
% 40.74/27.21 tff(31242,plain,
% 40.74/27.21 ((~v162(constB0)) <=> (~v162(constB0))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31243,axiom,(~v162(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_6_1_1')).
% 40.74/27.21 tff(31244,plain,
% 40.74/27.21 (~v162(constB0)),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31243, 31242])).
% 40.74/27.21 tff(31245,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB0) | (~v187(constB0)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB0) | (~v187(constB0)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31246,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB0) | (~v187(constB0)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31247,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB0) | (~v187(constB0))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31246, 31245])).
% 40.74/27.21 tff(31248,plain,
% 40.74/27.21 (~v187(constB0)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31247, 31244, 11087])).
% 40.74/27.21 tff(31249,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB0) | (~v185(constB0)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB0) | (~v185(constB0)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31250,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB0) | (~v185(constB0)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31251,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB0) | (~v185(constB0))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31250, 31249])).
% 40.74/27.21 tff(31252,plain,
% 40.74/27.21 (~v185(constB0)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31251, 11098, 31248])).
% 40.74/27.21 tff(31253,plain,
% 40.74/27.21 ((~v180(constB0)) <=> (~v180(constB0))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31254,axiom,(~v180(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1_1')).
% 40.74/27.21 tff(31255,plain,
% 40.74/27.21 (~v180(constB0)),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31254, 31253])).
% 40.74/27.21 tff(31256,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB0) | (~v181(constB0)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB0) | (~v181(constB0)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31257,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB0) | (~v181(constB0)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31258,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB0) | (~v181(constB0))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31257, 31256])).
% 40.74/27.21 tff(31259,plain,
% 40.74/27.21 (~v181(constB0)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31258, 31255, 11242])).
% 40.74/27.21 tff(31260,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB0) | v185(constB0) | (~v178(constB0)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB0) | v185(constB0) | (~v178(constB0)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31261,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB0) | v185(constB0) | (~v178(constB0)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31262,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB0) | v185(constB0) | (~v178(constB0))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31261, 31260])).
% 40.74/27.21 tff(31263,plain,
% 40.74/27.21 (~v178(constB0)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31262, 11215, 31259, 31252])).
% 40.74/27.21 tff(31264,plain,
% 40.74/27.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31265,plain,
% 40.74/27.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31266,plain,
% 40.74/27.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31265, 31264])).
% 40.74/27.21 tff(31267,plain,
% 40.74/27.21 (v178(constB0) | (~v180(constB1))),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31266, 11230, 123])).
% 40.74/27.21 tff(31268,plain,
% 40.74/27.21 (~v180(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31267, 31263])).
% 40.74/27.21 tff(31269,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB1) | (~v181(constB1)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB1) | (~v181(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31270,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB1) | (~v181(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31271,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB1) | (~v181(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31270, 31269])).
% 40.74/27.21 tff(31272,plain,
% 40.74/27.21 (~v181(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31271, 11242, 31268])).
% 40.74/27.21 tff(31273,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB1) | v185(constB1) | (~v178(constB1)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB1) | v185(constB1) | (~v178(constB1)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31274,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB1) | v185(constB1) | (~v178(constB1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31275,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB1) | v185(constB1) | (~v178(constB1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31274, 31273])).
% 40.74/27.21 tff(31276,plain,
% 40.74/27.21 (v185(constB1) | (~v178(constB1))),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31275, 11215, 31272])).
% 40.74/27.21 tff(31277,plain,
% 40.74/27.21 (~v178(constB1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31276, 31241])).
% 40.74/27.21 tff(31278,plain,
% 40.74/27.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31279,plain,
% 40.74/27.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31280,plain,
% 40.74/27.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31279, 31278])).
% 40.74/27.21 tff(31281,plain,
% 40.74/27.21 (v178(constB1) | (~v180(constB2))),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31280, 11230, 327])).
% 40.74/27.21 tff(31282,plain,
% 40.74/27.21 (~v180(constB2)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31281, 31277])).
% 40.74/27.21 tff(31283,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB2) | (~v181(constB2)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB2) | (~v181(constB2)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31284,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB2) | (~v181(constB2)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31285,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB2) | (~v181(constB2))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31284, 31283])).
% 40.74/27.21 tff(31286,plain,
% 40.74/27.21 (~v181(constB2)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31285, 11242, 31282])).
% 40.74/27.21 tff(31287,plain,
% 40.74/27.21 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB2)) | (~v184(constB2)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB2)) | (~v184(constB2)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31288,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB2)) | (~v184(constB2)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31289,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB2)) | (~v184(constB2))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31288, 31287])).
% 40.74/27.21 tff(31290,plain,
% 40.74/27.21 (~v184(constB2)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31289, 11253, 377])).
% 40.74/27.21 tff(31291,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB2) | (~v187(constB2)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB2) | (~v187(constB2)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31292,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB2) | (~v187(constB2)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31293,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB2) | (~v187(constB2))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31292, 31291])).
% 40.74/27.21 tff(31294,plain,
% 40.74/27.21 (~v187(constB2)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31293, 11264, 31290])).
% 40.74/27.21 tff(31295,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB2) | (~v185(constB2)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB2) | (~v185(constB2)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31296,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB2) | (~v185(constB2)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31297,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB2) | (~v185(constB2))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31296, 31295])).
% 40.74/27.21 tff(31298,plain,
% 40.74/27.21 (~v185(constB2)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31297, 11098, 31294])).
% 40.74/27.21 tff(31299,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB2) | v185(constB2) | (~v178(constB2)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB2) | v185(constB2) | (~v178(constB2)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31300,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB2) | v185(constB2) | (~v178(constB2)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31301,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB2) | v185(constB2) | (~v178(constB2))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31300, 31299])).
% 40.74/27.21 tff(31302,plain,
% 40.74/27.21 (v181(constB2) | (~v178(constB2))),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31301, 11215, 31298])).
% 40.74/27.21 tff(31303,plain,
% 40.74/27.21 (~v178(constB2)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31302, 31286])).
% 40.74/27.21 tff(31304,plain,
% 40.74/27.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31305,plain,
% 40.74/27.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31306,plain,
% 40.74/27.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31305, 31304])).
% 40.74/27.21 tff(31307,plain,
% 40.74/27.21 (v178(constB2) | (~v180(constB3))),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31306, 11230, 482])).
% 40.74/27.21 tff(31308,plain,
% 40.74/27.21 (~v180(constB3)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31307, 31303])).
% 40.74/27.21 tff(31309,plain,
% 40.74/27.21 ($false),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31308, 31169])).
% 40.74/27.21 tff(31310,plain,((~(constB3 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.74/27.21 tff(31311,plain,
% 40.74/27.21 (~(constB3 = sK0_VarCurr)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31310, 10998])).
% 40.74/27.21 tff(31312,plain,
% 40.74/27.21 (((~![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))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31313,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex2)) | v88(constB167, bitIndex2))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31314,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex2)) | v88(constB167, bitIndex2)),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31313, 31312])).
% 40.74/27.21 tff(31315,plain,
% 40.74/27.21 (v88(constB167, bitIndex2)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31314, 10566, 23198])).
% 40.74/27.21 tff(31316,plain,
% 40.74/27.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB167)) | (~v88(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB167)) | (~v88(constB167, bitIndex2)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31317,plain,
% 40.74/27.21 (((~v88(constB167, bitIndex2)) | (~v140(constB167))) <=> ((~v140(constB167)) | (~v88(constB167, bitIndex2)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31318,plain,
% 40.74/27.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v140(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB167)) | (~v88(constB167, bitIndex2))))),
% 40.74/27.21 inference(monotonicity,[status(thm)],[31317])).
% 40.74/27.21 tff(31319,plain,
% 40.74/27.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v140(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB167)) | (~v88(constB167, bitIndex2)))),
% 40.74/27.21 inference(transitivity,[status(thm)],[31318, 31316])).
% 40.74/27.21 tff(31320,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v140(constB167)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31321,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB167)) | (~v88(constB167, bitIndex2))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31320, 31319])).
% 40.74/27.21 tff(31322,plain,
% 40.74/27.21 (~v140(constB167)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31321, 10577, 31315])).
% 40.74/27.21 tff(31323,plain,
% 40.74/27.21 (((~![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))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31324,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31325,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0)),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31324, 31323])).
% 40.74/27.21 tff(31326,plain,
% 40.74/27.21 (v88(constB167, bitIndex0)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31325, 10622, 23263])).
% 40.74/27.21 tff(31327,plain,
% 40.74/27.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v139(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v139(constB167)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31328,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v139(constB167)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31329,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v139(constB167))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31328, 31327])).
% 40.74/27.21 tff(31330,plain,
% 40.74/27.21 (~v139(constB167)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31329, 10633, 31326])).
% 40.74/27.21 tff(31331,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB167)) | v139(constB167) | v140(constB167))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB167)) | v139(constB167) | v140(constB167))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31332,plain,
% 40.74/27.21 ((v140(constB167) | v139(constB167) | (~v170(constB167))) <=> ((~v170(constB167)) | v139(constB167) | v140(constB167))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31333,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v170(constB167)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB167)) | v139(constB167) | v140(constB167)))),
% 40.74/27.21 inference(monotonicity,[status(thm)],[31332])).
% 40.74/27.21 tff(31334,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v170(constB167)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB167)) | v139(constB167) | v140(constB167))),
% 40.74/27.21 inference(transitivity,[status(thm)],[31333, 31331])).
% 40.74/27.21 tff(31335,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v170(constB167)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31336,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB167)) | v139(constB167) | v140(constB167)),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31335, 31334])).
% 40.74/27.21 tff(31337,plain,
% 40.74/27.21 (~v170(constB167)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31336, 10647, 31330, 31322])).
% 40.74/27.21 tff(31338,plain,
% 40.74/27.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v141(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB167, bitIndex2)) | (~v141(constB167)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31339,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v141(constB167)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31340,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB167, bitIndex2)) | (~v141(constB167))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31339, 31338])).
% 40.74/27.21 tff(31341,plain,
% 40.74/27.21 (~v141(constB167)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31340, 10658, 31315])).
% 40.74/27.21 tff(31342,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB167) | v170(constB167) | (~v169(constB167)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB167) | v170(constB167) | (~v169(constB167)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31343,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB167) | v170(constB167) | (~v169(constB167)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31344,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB167) | v170(constB167) | (~v169(constB167))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31343, 31342])).
% 40.74/27.21 tff(31345,plain,
% 40.74/27.21 (~v169(constB167)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31344, 11040, 31341, 31337])).
% 40.74/27.21 tff(31346,plain,
% 40.74/27.21 (((~![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)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31347,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31348,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31347, 31346])).
% 40.74/27.21 tff(31349,plain,
% 40.74/27.21 (~v88(constB167, bitIndex1)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31348, 10784, 23232])).
% 40.74/27.21 tff(31350,plain,
% 40.74/27.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31351,plain,
% 40.74/27.21 (((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167)) <=> (v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31352,plain,
% 40.74/27.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2))))),
% 40.74/27.21 inference(monotonicity,[status(thm)],[31351])).
% 40.74/27.21 tff(31353,plain,
% 40.74/27.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2)))),
% 40.74/27.21 inference(transitivity,[status(thm)],[31352, 31350])).
% 40.74/27.21 tff(31354,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31355,plain,
% 40.74/27.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31354, 31353])).
% 40.74/27.21 tff(31356,plain,
% 40.74/27.21 (v147(constB167)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31355, 10798, 31326, 31315, 31349])).
% 40.74/27.21 tff(31357,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB167) | (~v147(constB167)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB167) | (~v147(constB167)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31358,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB167) | (~v147(constB167)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31359,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB167) | (~v147(constB167))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31358, 31357])).
% 40.74/27.21 tff(31360,plain,
% 40.74/27.21 (v145(constB167)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31359, 10812, 31356])).
% 40.74/27.21 tff(31361,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB167) | (~v145(constB167)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB167) | (~v145(constB167)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31362,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB167) | (~v145(constB167)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31363,plain,
% 40.74/27.21 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB167) | (~v145(constB167))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31362, 31361])).
% 40.74/27.21 tff(31364,plain,
% 40.74/27.21 (v165(constB167)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31363, 10823, 31360])).
% 40.74/27.21 tff(31365,plain,
% 40.74/27.21 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB167)) | v169(constB167) | (~v165(constB167)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB167)) | v169(constB167) | (~v165(constB167)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31366,plain,
% 40.74/27.21 (((~v165(constB167)) | v169(constB167) | (~v162(constB167))) <=> ((~v162(constB167)) | v169(constB167) | (~v165(constB167)))),
% 40.74/27.21 inference(rewrite,[status(thm)],[])).
% 40.74/27.21 tff(31367,plain,
% 40.74/27.21 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB167)) | v169(constB167) | (~v162(constB167)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB167)) | v169(constB167) | (~v165(constB167))))),
% 40.74/27.21 inference(monotonicity,[status(thm)],[31366])).
% 40.74/27.21 tff(31368,plain,
% 40.74/27.21 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB167)) | v169(constB167) | (~v162(constB167)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB167)) | v169(constB167) | (~v165(constB167)))),
% 40.74/27.21 inference(transitivity,[status(thm)],[31367, 31365])).
% 40.74/27.21 tff(31369,plain,
% 40.74/27.21 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB167)) | v169(constB167) | (~v162(constB167)))),
% 40.74/27.21 inference(quant_inst,[status(thm)],[])).
% 40.74/27.21 tff(31370,plain,
% 40.74/27.21 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB167)) | v169(constB167) | (~v165(constB167))),
% 40.74/27.21 inference(modus_ponens,[status(thm)],[31369, 31368])).
% 40.74/27.21 tff(31371,plain,
% 40.74/27.21 (~v162(constB167)),
% 40.74/27.21 inference(unit_resolution,[status(thm)],[31370, 11073, 31364, 31345])).
% 40.74/27.21 tff(31372,plain,
% 40.74/27.21 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB167) | (~v187(constB167)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB167) | (~v187(constB167)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31373,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB167) | (~v187(constB167)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31374,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB167) | (~v187(constB167))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31373, 31372])).
% 40.74/27.22 tff(31375,plain,
% 40.74/27.22 (~v187(constB167)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31374, 11087, 31371])).
% 40.74/27.22 tff(31376,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB167) | (~v185(constB167)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB167) | (~v185(constB167)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31377,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB167) | (~v185(constB167)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31378,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB167) | (~v185(constB167))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31377, 31376])).
% 40.74/27.22 tff(31379,plain,
% 40.74/27.22 (~v185(constB167)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31378, 11098, 31375])).
% 40.74/27.22 tff(31380,assumption,(v18(constB168)), introduced(assumption)).
% 40.74/27.22 tff(31381,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB168))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31382,plain,
% 40.74/27.22 ($false),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31381, 11110, 31380])).
% 40.74/27.22 tff(31383,plain,(~v18(constB168)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.22 tff(31384,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31385,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31386,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31385, 31384])).
% 40.74/27.22 tff(31387,plain,
% 40.74/27.22 (v22(constB168)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31386, 11120, 23314])).
% 40.74/27.22 tff(31388,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB168)) | (~v22(constB168)) | v18(constB168))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB168)) | (~v22(constB168)) | v18(constB168))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31389,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB168)) | (~v22(constB168)) | v18(constB168))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31390,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB168)) | (~v22(constB168)) | v18(constB168)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31389, 31388])).
% 40.74/27.22 tff(31391,plain,
% 40.74/27.22 ((~v19(constB168)) | v18(constB168)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31390, 11134, 31387])).
% 40.74/27.22 tff(31392,plain,
% 40.74/27.22 (~v19(constB168)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31391, 31383])).
% 40.74/27.22 tff(31393,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31394,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31395,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31394, 31393])).
% 40.74/27.22 tff(31396,plain,
% 40.74/27.22 (v13(constB168)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31395, 11149, 31392])).
% 40.74/27.22 tff(31397,plain,
% 40.74/27.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31398,plain,
% 40.74/27.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31399,plain,
% 40.74/27.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31398, 31397])).
% 40.74/27.22 tff(31400,plain,
% 40.74/27.22 ((~v13(constB168)) | v9(constB167)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31399, 11163, 23294])).
% 40.74/27.22 tff(31401,plain,
% 40.74/27.22 (v9(constB167)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31400, 31396])).
% 40.74/27.22 tff(31402,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v184(constB167))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB167) | (~v9(constB167)) | v184(constB167))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31403,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v184(constB167))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31404,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB167) | (~v9(constB167)) | v184(constB167)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31403, 31402])).
% 40.74/27.22 tff(31405,plain,
% 40.74/27.22 ((~v9(constB167)) | v184(constB167)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31404, 11178, 23174])).
% 40.74/27.22 tff(31406,plain,
% 40.74/27.22 (v184(constB167)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31405, 31401])).
% 40.74/27.22 tff(31407,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB167) | (~v184(constB167)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB167) | (~v184(constB167)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31408,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB167) | (~v184(constB167)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31409,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB167) | (~v184(constB167))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31408, 31407])).
% 40.74/27.22 tff(31410,plain,
% 40.74/27.22 (v183(constB167)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31409, 11190, 31406])).
% 40.74/27.22 tff(31411,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB167)) | (~v183(constB167)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB167)) | (~v183(constB167)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31412,plain,
% 40.74/27.22 (((~v183(constB167)) | (~v181(constB167))) <=> ((~v181(constB167)) | (~v183(constB167)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31413,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB167)) | (~v181(constB167)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB167)) | (~v183(constB167))))),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31412])).
% 40.74/27.22 tff(31414,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB167)) | (~v181(constB167)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB167)) | (~v183(constB167)))),
% 40.74/27.22 inference(transitivity,[status(thm)],[31413, 31411])).
% 40.74/27.22 tff(31415,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB167)) | (~v181(constB167)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31416,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB167)) | (~v183(constB167))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31415, 31414])).
% 40.74/27.22 tff(31417,plain,
% 40.74/27.22 (~v181(constB167)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31416, 11201, 31410])).
% 40.74/27.22 tff(31418,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB167) | v185(constB167) | (~v178(constB167)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB167) | v185(constB167) | (~v178(constB167)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31419,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB167) | v185(constB167) | (~v178(constB167)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31420,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB167) | v185(constB167) | (~v178(constB167))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31419, 31418])).
% 40.74/27.22 tff(31421,plain,
% 40.74/27.22 (v185(constB167) | (~v178(constB167))),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31420, 11215, 31417])).
% 40.74/27.22 tff(31422,plain,
% 40.74/27.22 (~v178(constB167)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31421, 31379])).
% 40.74/27.22 tff(31423,plain,
% 40.74/27.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31424,plain,
% 40.74/27.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31425,plain,
% 40.74/27.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31424, 31423])).
% 40.74/27.22 tff(31426,plain,
% 40.74/27.22 (v178(constB167) | (~v180(constB168))),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31425, 11230, 23294])).
% 40.74/27.22 tff(31427,plain,
% 40.74/27.22 (~v180(constB168)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31426, 31422])).
% 40.74/27.22 tff(31428,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB168) | (~v181(constB168)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB168) | (~v181(constB168)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31429,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB168) | (~v181(constB168)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31430,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB168) | (~v181(constB168))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31429, 31428])).
% 40.74/27.22 tff(31431,plain,
% 40.74/27.22 (~v181(constB168)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31430, 11242, 31427])).
% 40.74/27.22 tff(31432,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB168)) | (~v184(constB168)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB168)) | (~v184(constB168)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31433,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB168)) | (~v184(constB168)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31434,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB168)) | (~v184(constB168))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31433, 31432])).
% 40.74/27.22 tff(31435,plain,
% 40.74/27.22 (~v184(constB168)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31434, 11253, 23314])).
% 40.74/27.22 tff(31436,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB168) | (~v187(constB168)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB168) | (~v187(constB168)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31437,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB168) | (~v187(constB168)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31438,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB168) | (~v187(constB168))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31437, 31436])).
% 40.74/27.22 tff(31439,plain,
% 40.74/27.22 (~v187(constB168)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31438, 11264, 31435])).
% 40.74/27.22 tff(31440,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB168) | (~v185(constB168)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB168) | (~v185(constB168)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31441,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB168) | (~v185(constB168)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31442,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB168) | (~v185(constB168))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31441, 31440])).
% 40.74/27.22 tff(31443,plain,
% 40.74/27.22 (~v185(constB168)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31442, 11098, 31439])).
% 40.74/27.22 tff(31444,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB168) | v185(constB168) | (~v178(constB168)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB168) | v185(constB168) | (~v178(constB168)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31445,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB168) | v185(constB168) | (~v178(constB168)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31446,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB168) | v185(constB168) | (~v178(constB168))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31445, 31444])).
% 40.74/27.22 tff(31447,plain,
% 40.74/27.22 (v181(constB168) | (~v178(constB168))),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31446, 11215, 31443])).
% 40.74/27.22 tff(31448,plain,
% 40.74/27.22 (~v178(constB168)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31447, 31431])).
% 40.74/27.22 tff(31449,plain,
% 40.74/27.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31450,plain,
% 40.74/27.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31451,plain,
% 40.74/27.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31450, 31449])).
% 40.74/27.22 tff(31452,plain,
% 40.74/27.22 (v178(constB168) | (~v180(constB169))),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31451, 11230, 23356])).
% 40.74/27.22 tff(31453,plain,
% 40.74/27.22 (~v180(constB169)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31452, 31448])).
% 40.74/27.22 tff(31454,assumption,(constB169 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.22 tff(31455,plain,
% 40.74/27.22 (v180(constB169) <=> v180(sK0_VarCurr)),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31454])).
% 40.74/27.22 tff(31456,plain,
% 40.74/27.22 (v180(sK0_VarCurr) <=> v180(constB169)),
% 40.74/27.22 inference(symmetry,[status(thm)],[31455])).
% 40.74/27.22 tff(31457,plain,
% 40.74/27.22 (v180(constB169)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[11002, 31456])).
% 40.74/27.22 tff(31458,assumption,(~v180(constB169)), introduced(assumption)).
% 40.74/27.22 tff(31459,plain,
% 40.74/27.22 ($false),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31458, 31457])).
% 40.74/27.22 tff(31460,plain,((~(constB169 = sK0_VarCurr)) | v180(constB169) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.74/27.22 tff(31461,plain,
% 40.74/27.22 ((~(constB169 = sK0_VarCurr)) | (~v180(sK0_VarCurr))),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31460, 31453])).
% 40.74/27.22 tff(31462,plain,
% 40.74/27.22 (~(constB169 = sK0_VarCurr)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31461, 10998])).
% 40.74/27.22 tff(31463,assumption,(constB156 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.22 tff(31464,plain,
% 40.74/27.22 (v1(constB156) <=> v1(sK0_VarCurr)),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31463])).
% 40.74/27.22 tff(31465,plain,
% 40.74/27.22 (v1(sK0_VarCurr) <=> v1(constB156)),
% 40.74/27.22 inference(symmetry,[status(thm)],[31464])).
% 40.74/27.22 tff(31466,plain,
% 40.74/27.22 ((~v1(sK0_VarCurr)) <=> (~v1(constB156))),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31465])).
% 40.74/27.22 tff(31467,plain,
% 40.74/27.22 (~v1(constB156)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[21332, 31466])).
% 40.74/27.22 tff(31468,plain,
% 40.74/27.22 ($false),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[20089, 31467])).
% 40.74/27.22 tff(31469,plain,((~(constB156 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.22 tff(31470,plain,
% 40.74/27.22 (~(constB156 = sK0_VarCurr)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31469, 21327])).
% 40.74/27.22 tff(31471,assumption,(constB150 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.22 tff(31472,plain,
% 40.74/27.22 (v1(constB150) <=> v1(sK0_VarCurr)),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31471])).
% 40.74/27.22 tff(31473,plain,
% 40.74/27.22 (v1(sK0_VarCurr) <=> v1(constB150)),
% 40.74/27.22 inference(symmetry,[status(thm)],[31472])).
% 40.74/27.22 tff(31474,plain,
% 40.74/27.22 ((~v1(sK0_VarCurr)) <=> (~v1(constB150))),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31473])).
% 40.74/27.22 tff(31475,plain,
% 40.74/27.22 (~v1(constB150)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[21332, 31474])).
% 40.74/27.22 tff(31476,plain,
% 40.74/27.22 ($false),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[19523, 31475])).
% 40.74/27.22 tff(31477,plain,((~(constB150 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.22 tff(31478,plain,
% 40.74/27.22 (~(constB150 = sK0_VarCurr)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31477, 21327])).
% 40.74/27.22 tff(31479,plain,
% 40.74/27.22 (((~![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))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31480,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB179, bitIndex2)) | v88(constB179, bitIndex2))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31481,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB179, bitIndex2)) | v88(constB179, bitIndex2)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31480, 31479])).
% 40.74/27.22 tff(31482,plain,
% 40.74/27.22 (v88(constB179, bitIndex2)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31481, 10566, 24560])).
% 40.74/27.22 tff(31483,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB179, bitIndex2)) | (~v140(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB179, bitIndex2)) | (~v140(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31484,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB179, bitIndex2)) | (~v140(constB179)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31485,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB179, bitIndex2)) | (~v140(constB179))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31484, 31483])).
% 40.74/27.22 tff(31486,plain,
% 40.74/27.22 (~v140(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31485, 10577, 31482])).
% 40.74/27.22 tff(31487,plain,
% 40.74/27.22 (((~![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))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31488,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB179, bitIndex0)) | v88(constB179, bitIndex0))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31489,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB179, bitIndex0)) | v88(constB179, bitIndex0)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31488, 31487])).
% 40.74/27.22 tff(31490,plain,
% 40.74/27.22 (v88(constB179, bitIndex0)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31489, 10622, 24613])).
% 40.74/27.22 tff(31491,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v139(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v139(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31492,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v139(constB179)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31493,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v139(constB179))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31492, 31491])).
% 40.74/27.22 tff(31494,plain,
% 40.74/27.22 (~v139(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31493, 10633, 31490])).
% 40.74/27.22 tff(31495,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB179) | v139(constB179) | (~v170(constB179)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB179) | v139(constB179) | (~v170(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31496,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB179) | v139(constB179) | (~v170(constB179)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31497,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB179) | v139(constB179) | (~v170(constB179))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31496, 31495])).
% 40.74/27.22 tff(31498,plain,
% 40.74/27.22 (~v170(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31497, 10647, 31494, 31486])).
% 40.74/27.22 tff(31499,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB179, bitIndex2)) | (~v141(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB179, bitIndex2)) | (~v141(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31500,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB179, bitIndex2)) | (~v141(constB179)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31501,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB179, bitIndex2)) | (~v141(constB179))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31500, 31499])).
% 40.74/27.22 tff(31502,plain,
% 40.74/27.22 (~v141(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31501, 10658, 31482])).
% 40.74/27.22 tff(31503,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB179) | v170(constB179) | (~v167(constB179)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB179) | v170(constB179) | (~v167(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31504,plain,
% 40.74/27.22 ((v141(constB179) | (~v167(constB179)) | v170(constB179)) <=> (v141(constB179) | v170(constB179) | (~v167(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31505,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB179) | (~v167(constB179)) | v170(constB179))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB179) | v170(constB179) | (~v167(constB179))))),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31504])).
% 40.74/27.22 tff(31506,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB179) | (~v167(constB179)) | v170(constB179))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB179) | v170(constB179) | (~v167(constB179)))),
% 40.74/27.22 inference(transitivity,[status(thm)],[31505, 31503])).
% 40.74/27.22 tff(31507,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB179) | (~v167(constB179)) | v170(constB179))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31508,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB179) | v170(constB179) | (~v167(constB179))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31507, 31506])).
% 40.74/27.22 tff(31509,plain,
% 40.74/27.22 (~v167(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31508, 10672, 31502, 31498])).
% 40.74/27.22 tff(31510,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v143(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v143(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31511,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v143(constB179)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31512,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v143(constB179))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31511, 31510])).
% 40.74/27.22 tff(31513,plain,
% 40.74/27.22 (~v143(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31512, 10686, 31490])).
% 40.74/27.22 tff(31514,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB179)) | (~v88(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB179)) | (~v88(constB179, bitIndex0)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31515,plain,
% 40.74/27.22 (((~v88(constB179, bitIndex0)) | (~v144(constB179))) <=> ((~v144(constB179)) | (~v88(constB179, bitIndex0)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31516,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v144(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB179)) | (~v88(constB179, bitIndex0))))),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31515])).
% 40.74/27.22 tff(31517,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v144(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB179)) | (~v88(constB179, bitIndex0)))),
% 40.74/27.22 inference(transitivity,[status(thm)],[31516, 31514])).
% 40.74/27.22 tff(31518,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v144(constB179)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31519,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB179)) | (~v88(constB179, bitIndex0))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31518, 31517])).
% 40.74/27.22 tff(31520,plain,
% 40.74/27.22 (~v144(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31519, 10697, 31490])).
% 40.74/27.22 tff(31521,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB179) | v144(constB179) | (~v142(constB179)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB179) | v144(constB179) | (~v142(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31522,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB179) | v144(constB179) | (~v142(constB179)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31523,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB179) | v144(constB179) | (~v142(constB179))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31522, 31521])).
% 40.74/27.22 tff(31524,plain,
% 40.74/27.22 (~v142(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31523, 10711, 31520, 31513])).
% 40.74/27.22 tff(31525,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB179) | (~v166(constB179)) | v167(constB179))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB179) | (~v166(constB179)) | v167(constB179))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31526,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB179) | (~v166(constB179)) | v167(constB179))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31527,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB179) | (~v166(constB179)) | v167(constB179)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31526, 31525])).
% 40.74/27.22 tff(31528,plain,
% 40.74/27.22 (~v166(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31527, 10725, 31524, 31509])).
% 40.74/27.22 tff(31529,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB179) | v166(constB179))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB179) | v166(constB179))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31530,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB179) | v166(constB179))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31531,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB179) | v166(constB179)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31530, 31529])).
% 40.74/27.22 tff(31532,plain,
% 40.74/27.22 (v148(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31531, 10739, 31528])).
% 40.74/27.22 tff(31533,plain,
% 40.74/27.22 (((~![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)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31534,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB179, bitIndex1) | (~v88(constB179, bitIndex1)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31535,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB179, bitIndex1) | (~v88(constB179, bitIndex1))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31534, 31533])).
% 40.74/27.22 tff(31536,plain,
% 40.74/27.22 (~v88(constB179, bitIndex1)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31535, 10784, 24604])).
% 40.74/27.22 tff(31537,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v147(constB179) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB179, bitIndex2)) | v147(constB179) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31538,plain,
% 40.74/27.22 (((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179)) <=> ((~v88(constB179, bitIndex2)) | v147(constB179) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31539,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v147(constB179) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0))))),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31538])).
% 40.74/27.22 tff(31540,plain,
% 40.74/27.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB179, bitIndex2)) | v147(constB179) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)))),
% 40.74/27.22 inference(transitivity,[status(thm)],[31539, 31537])).
% 40.74/27.22 tff(31541,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31542,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB179, bitIndex2)) | v147(constB179) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31541, 31540])).
% 40.74/27.22 tff(31543,plain,
% 40.74/27.22 (v147(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31542, 10798, 31490, 31482, 31536])).
% 40.74/27.22 tff(31544,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB179) | (~v147(constB179)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB179) | (~v147(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31545,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB179) | (~v147(constB179)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31546,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB179) | (~v147(constB179))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31545, 31544])).
% 40.74/27.22 tff(31547,plain,
% 40.74/27.22 (v145(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31546, 10812, 31543])).
% 40.74/27.22 tff(31548,plain,
% 40.74/27.22 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB179) | (~v145(constB179)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB179) | (~v145(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31549,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB179) | (~v145(constB179)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31550,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB179) | (~v145(constB179))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31549, 31548])).
% 40.74/27.22 tff(31551,plain,
% 40.74/27.22 (v165(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31550, 10823, 31547])).
% 40.74/27.22 tff(31552,plain,
% 40.74/27.22 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB179) | (~v165(constB179)) | (~v148(constB179)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB179) | (~v165(constB179)) | (~v148(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31553,plain,
% 40.74/27.22 (((~v148(constB179)) | (~v165(constB179)) | v86(constB179)) <=> (v86(constB179) | (~v165(constB179)) | (~v148(constB179)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31554,plain,
% 40.74/27.22 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB179)) | (~v165(constB179)) | v86(constB179))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB179) | (~v165(constB179)) | (~v148(constB179))))),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31553])).
% 40.74/27.22 tff(31555,plain,
% 40.74/27.22 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB179)) | (~v165(constB179)) | v86(constB179))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB179) | (~v165(constB179)) | (~v148(constB179)))),
% 40.74/27.22 inference(transitivity,[status(thm)],[31554, 31552])).
% 40.74/27.22 tff(31556,plain,
% 40.74/27.22 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB179)) | (~v165(constB179)) | v86(constB179))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31557,plain,
% 40.74/27.22 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB179) | (~v165(constB179)) | (~v148(constB179))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31556, 31555])).
% 40.74/27.22 tff(31558,plain,
% 40.74/27.22 (v86(constB179) | (~v148(constB179))),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31557, 10837, 31551])).
% 40.74/27.22 tff(31559,plain,
% 40.74/27.22 (v86(constB179)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31558, 31532])).
% 40.74/27.22 tff(31560,assumption,(constB179 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.22 tff(31561,plain,
% 40.74/27.22 (v86(constB179) <=> v86(sK0_VarCurr)),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31560])).
% 40.74/27.22 tff(31562,plain,
% 40.74/27.22 (v86(sK0_VarCurr) <=> v86(constB179)),
% 40.74/27.22 inference(symmetry,[status(thm)],[31561])).
% 40.74/27.22 tff(31563,plain,
% 40.74/27.22 ((~v86(sK0_VarCurr)) <=> (~v86(constB179))),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31562])).
% 40.74/27.22 tff(31564,plain,
% 40.74/27.22 (~v86(constB179)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[77, 31563])).
% 40.74/27.22 tff(31565,assumption,(v86(constB179)), introduced(assumption)).
% 40.74/27.22 tff(31566,plain,
% 40.74/27.22 ($false),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31565, 31564])).
% 40.74/27.22 tff(31567,plain,((~(constB179 = sK0_VarCurr)) | (~v86(constB179)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.22 tff(31568,plain,
% 40.74/27.22 ((~(constB179 = sK0_VarCurr)) | v86(sK0_VarCurr)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31567, 31559])).
% 40.74/27.22 tff(31569,plain,
% 40.74/27.22 (~(constB179 = sK0_VarCurr)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31568, 72])).
% 40.74/27.22 tff(31570,assumption,(constB50 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.22 tff(31571,plain,
% 40.74/27.22 (v1(constB50) <=> v1(sK0_VarCurr)),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31570])).
% 40.74/27.22 tff(31572,plain,
% 40.74/27.22 (v1(sK0_VarCurr) <=> v1(constB50)),
% 40.74/27.22 inference(symmetry,[status(thm)],[31571])).
% 40.74/27.22 tff(31573,plain,
% 40.74/27.22 ((~v1(sK0_VarCurr)) <=> (~v1(constB50))),
% 40.74/27.22 inference(monotonicity,[status(thm)],[31572])).
% 40.74/27.22 tff(31574,plain,
% 40.74/27.22 (~v1(constB50)),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[21332, 31573])).
% 40.74/27.22 tff(31575,plain,
% 40.74/27.22 ($false),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[6604, 31574])).
% 40.74/27.22 tff(31576,plain,((~(constB50 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.22 tff(31577,plain,
% 40.74/27.22 (~(constB50 = sK0_VarCurr)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31576, 21327])).
% 40.74/27.22 tff(31578,plain,
% 40.74/27.22 (((~![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)))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31579,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB157, bitIndex0) | (~v88(constB157, bitIndex0)))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31580,plain,
% 40.74/27.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB157, bitIndex0) | (~v88(constB157, bitIndex0))),
% 40.74/27.22 inference(modus_ponens,[status(thm)],[31579, 31578])).
% 40.74/27.22 tff(31581,plain,
% 40.74/27.22 (~v88(constB157, bitIndex0)),
% 40.74/27.22 inference(unit_resolution,[status(thm)],[31580, 14645, 20217])).
% 40.74/27.22 tff(31582,plain,
% 40.74/27.22 (((~![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))),
% 40.74/27.22 inference(rewrite,[status(thm)],[])).
% 40.74/27.22 tff(31583,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2))),
% 40.74/27.22 inference(quant_inst,[status(thm)],[])).
% 40.74/27.22 tff(31584,plain,
% 40.74/27.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31583, 31582])).
% 40.74/27.23 tff(31585,plain,
% 40.74/27.23 (v88(constB157, bitIndex2)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31584, 10566, 20152])).
% 40.74/27.23 tff(31586,plain,
% 40.74/27.23 (((~![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))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31587,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31588,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31587, 31586])).
% 40.74/27.23 tff(31589,plain,
% 40.74/27.23 (v88(constB157, bitIndex1)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31588, 21131, 20183])).
% 40.74/27.23 tff(31590,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31591,plain,
% 40.74/27.23 (((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157)) <=> (v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31592,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157)))),
% 40.74/27.23 inference(monotonicity,[status(thm)],[31591])).
% 40.74/27.23 tff(31593,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157))),
% 40.74/27.23 inference(transitivity,[status(thm)],[31592, 31590])).
% 40.74/27.23 tff(31594,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31595,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB157, bitIndex0) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v144(constB157)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31594, 31593])).
% 40.74/27.23 tff(31596,plain,
% 40.74/27.23 (v144(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31595, 21145, 31589, 31585, 31581])).
% 40.74/27.23 tff(31597,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB157) | (~v144(constB157)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB157) | (~v144(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31598,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB157) | (~v144(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31599,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB157) | (~v144(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31598, 31597])).
% 40.74/27.23 tff(31600,plain,
% 40.74/27.23 (v142(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31599, 21159, 31596])).
% 40.74/27.23 tff(31601,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB157) | (~v142(constB157)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB157) | (~v142(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31602,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB157) | (~v142(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31603,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB157) | (~v142(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31602, 31601])).
% 40.74/27.23 tff(31604,plain,
% 40.74/27.23 (v166(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31603, 21170, 31600])).
% 40.74/27.23 tff(31605,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB157) | (~v166(constB157)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB157) | (~v166(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31606,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB157) | (~v166(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31607,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB157) | (~v166(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31606, 31605])).
% 40.74/27.23 tff(31608,plain,
% 40.74/27.23 (v165(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31607, 21181, 31604])).
% 40.74/27.23 tff(31609,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB157, bitIndex1)) | (~v139(constB157)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB157, bitIndex1)) | (~v139(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31610,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB157, bitIndex1)) | (~v139(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31611,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB157, bitIndex1)) | (~v139(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31610, 31609])).
% 40.74/27.23 tff(31612,plain,
% 40.74/27.23 (~v139(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31611, 21192, 31589])).
% 40.74/27.23 tff(31613,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB157, bitIndex1)) | (~v140(constB157)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB157, bitIndex1)) | (~v140(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31614,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB157, bitIndex1)) | (~v140(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31615,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB157, bitIndex1)) | (~v140(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31614, 31613])).
% 40.74/27.23 tff(31616,plain,
% 40.74/27.23 (~v140(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31615, 21203, 31589])).
% 40.74/27.23 tff(31617,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB157) | v139(constB157) | (~v170(constB157)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB157) | v139(constB157) | (~v170(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31618,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB157) | v139(constB157) | (~v170(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31619,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB157) | v139(constB157) | (~v170(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31618, 31617])).
% 40.74/27.23 tff(31620,plain,
% 40.74/27.23 (~v170(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31619, 10647, 31616, 31612])).
% 40.74/27.23 tff(31621,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB157, bitIndex2)) | (~v141(constB157)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB157, bitIndex2)) | (~v141(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31622,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB157, bitIndex2)) | (~v141(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31623,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB157, bitIndex2)) | (~v141(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31622, 31621])).
% 40.74/27.23 tff(31624,plain,
% 40.74/27.23 (~v141(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31623, 10658, 31585])).
% 40.74/27.23 tff(31625,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB157) | v170(constB157) | (~v169(constB157)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB157) | v170(constB157) | (~v169(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31626,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB157) | v170(constB157) | (~v169(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31627,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB157) | v170(constB157) | (~v169(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31626, 31625])).
% 40.74/27.23 tff(31628,plain,
% 40.74/27.23 (~v169(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31627, 11040, 31624, 31620])).
% 40.74/27.23 tff(31629,plain,
% 40.74/27.23 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB157)) | (~v165(constB157)) | v169(constB157))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB157)) | (~v165(constB157)) | v169(constB157))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31630,plain,
% 40.74/27.23 (((~v165(constB157)) | v169(constB157) | (~v162(constB157))) <=> ((~v162(constB157)) | (~v165(constB157)) | v169(constB157))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31631,plain,
% 40.74/27.23 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB157)) | v169(constB157) | (~v162(constB157)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB157)) | (~v165(constB157)) | v169(constB157)))),
% 40.74/27.23 inference(monotonicity,[status(thm)],[31630])).
% 40.74/27.23 tff(31632,plain,
% 40.74/27.23 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB157)) | v169(constB157) | (~v162(constB157)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB157)) | (~v165(constB157)) | v169(constB157))),
% 40.74/27.23 inference(transitivity,[status(thm)],[31631, 31629])).
% 40.74/27.23 tff(31633,plain,
% 40.74/27.23 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB157)) | v169(constB157) | (~v162(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31634,plain,
% 40.74/27.23 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB157)) | (~v165(constB157)) | v169(constB157)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31633, 31632])).
% 40.74/27.23 tff(31635,plain,
% 40.74/27.23 ((~v162(constB157)) | (~v165(constB157))),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31634, 11073, 31628])).
% 40.74/27.23 tff(31636,plain,
% 40.74/27.23 (~v162(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31635, 31608])).
% 40.74/27.23 tff(31637,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB157) | (~v187(constB157)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB157) | (~v187(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31638,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB157) | (~v187(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31639,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB157) | (~v187(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31638, 31637])).
% 40.74/27.23 tff(31640,plain,
% 40.74/27.23 (~v187(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31639, 11087, 31636])).
% 40.74/27.23 tff(31641,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB157) | (~v185(constB157)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB157) | (~v185(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31642,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB157) | (~v185(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31643,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB157) | (~v185(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31642, 31641])).
% 40.74/27.23 tff(31644,plain,
% 40.74/27.23 (~v185(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31643, 11098, 31640])).
% 40.74/27.23 tff(31645,assumption,(v18(constB158)), introduced(assumption)).
% 40.74/27.23 tff(31646,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB158))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31647,plain,
% 40.74/27.23 ($false),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31646, 11110, 31645])).
% 40.74/27.23 tff(31648,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.23 tff(31649,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31650,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31651,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31650, 31649])).
% 40.74/27.23 tff(31652,plain,
% 40.74/27.23 (v22(constB158)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31651, 11120, 20264])).
% 40.74/27.23 tff(31653,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB158)) | (~v22(constB158)) | v18(constB158))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB158)) | (~v22(constB158)) | v18(constB158))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31654,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB158)) | (~v22(constB158)) | v18(constB158))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31655,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB158)) | (~v22(constB158)) | v18(constB158)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31654, 31653])).
% 40.74/27.23 tff(31656,plain,
% 40.74/27.23 ((~v19(constB158)) | v18(constB158)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31655, 11134, 31652])).
% 40.74/27.23 tff(31657,plain,
% 40.74/27.23 (~v19(constB158)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31656, 31648])).
% 40.74/27.23 tff(31658,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31659,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31660,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31659, 31658])).
% 40.74/27.23 tff(31661,plain,
% 40.74/27.23 (v13(constB158)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31660, 11149, 31657])).
% 40.74/27.23 tff(31662,plain,
% 40.74/27.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31663,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31664,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31663, 31662])).
% 40.74/27.23 tff(31665,plain,
% 40.74/27.23 ((~v13(constB158)) | v9(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31664, 11163, 20244])).
% 40.74/27.23 tff(31666,plain,
% 40.74/27.23 (v9(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31665, 31661])).
% 40.74/27.23 tff(31667,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v184(constB157))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB157) | (~v9(constB157)) | v184(constB157))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31668,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v184(constB157))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31669,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB157) | (~v9(constB157)) | v184(constB157)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31668, 31667])).
% 40.74/27.23 tff(31670,plain,
% 40.74/27.23 ((~v9(constB157)) | v184(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31669, 11178, 20128])).
% 40.74/27.23 tff(31671,plain,
% 40.74/27.23 (v184(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31670, 31666])).
% 40.74/27.23 tff(31672,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB157) | (~v184(constB157)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB157) | (~v184(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31673,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB157) | (~v184(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31674,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB157) | (~v184(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31673, 31672])).
% 40.74/27.23 tff(31675,plain,
% 40.74/27.23 (v183(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31674, 11190, 31671])).
% 40.74/27.23 tff(31676,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB157)) | (~v183(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB157)) | (~v183(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31677,plain,
% 40.74/27.23 (((~v183(constB157)) | (~v181(constB157))) <=> ((~v181(constB157)) | (~v183(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31678,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB157)) | (~v181(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB157)) | (~v183(constB157))))),
% 40.74/27.23 inference(monotonicity,[status(thm)],[31677])).
% 40.74/27.23 tff(31679,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB157)) | (~v181(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB157)) | (~v183(constB157)))),
% 40.74/27.23 inference(transitivity,[status(thm)],[31678, 31676])).
% 40.74/27.23 tff(31680,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB157)) | (~v181(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31681,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB157)) | (~v183(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31680, 31679])).
% 40.74/27.23 tff(31682,plain,
% 40.74/27.23 (~v181(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31681, 11201, 31675])).
% 40.74/27.23 tff(31683,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB157) | v185(constB157) | (~v178(constB157)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB157) | v185(constB157) | (~v178(constB157)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31684,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB157) | v185(constB157) | (~v178(constB157)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31685,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB157) | v185(constB157) | (~v178(constB157))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31684, 31683])).
% 40.74/27.23 tff(31686,plain,
% 40.74/27.23 (v185(constB157) | (~v178(constB157))),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31685, 11215, 31682])).
% 40.74/27.23 tff(31687,plain,
% 40.74/27.23 (~v178(constB157)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31686, 31644])).
% 40.74/27.23 tff(31688,plain,
% 40.74/27.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31689,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31690,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31689, 31688])).
% 40.74/27.23 tff(31691,plain,
% 40.74/27.23 (v178(constB157) | (~v180(constB158))),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31690, 11230, 20244])).
% 40.74/27.23 tff(31692,plain,
% 40.74/27.23 (~v180(constB158)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31691, 31687])).
% 40.74/27.23 tff(31693,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB158) | (~v181(constB158)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB158) | (~v181(constB158)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31694,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB158) | (~v181(constB158)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31695,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB158) | (~v181(constB158))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31694, 31693])).
% 40.74/27.23 tff(31696,plain,
% 40.74/27.23 (~v181(constB158)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31695, 11242, 31692])).
% 40.74/27.23 tff(31697,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB158)) | (~v184(constB158)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB158)) | (~v184(constB158)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31698,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB158)) | (~v184(constB158)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31699,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB158)) | (~v184(constB158))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31698, 31697])).
% 40.74/27.23 tff(31700,plain,
% 40.74/27.23 (~v184(constB158)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31699, 11253, 20264])).
% 40.74/27.23 tff(31701,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB158) | (~v187(constB158)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB158) | (~v187(constB158)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31702,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB158) | (~v187(constB158)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31703,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB158) | (~v187(constB158))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31702, 31701])).
% 40.74/27.23 tff(31704,plain,
% 40.74/27.23 (~v187(constB158)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31703, 11264, 31700])).
% 40.74/27.23 tff(31705,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB158) | (~v185(constB158)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB158) | (~v185(constB158)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31706,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB158) | (~v185(constB158)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31707,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB158) | (~v185(constB158))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 40.74/27.23 tff(31708,plain,
% 40.74/27.23 (~v185(constB158)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31707, 11098, 31704])).
% 40.74/27.23 tff(31709,plain,
% 40.74/27.23 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB158) | v185(constB158) | (~v178(constB158)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB158) | v185(constB158) | (~v178(constB158)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31710,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB158) | v185(constB158) | (~v178(constB158)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31711,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB158) | v185(constB158) | (~v178(constB158))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31710, 31709])).
% 40.74/27.23 tff(31712,plain,
% 40.74/27.23 (v181(constB158) | (~v178(constB158))),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31711, 11215, 31708])).
% 40.74/27.23 tff(31713,plain,
% 40.74/27.23 (~v178(constB158)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31712, 31696])).
% 40.74/27.23 tff(31714,plain,
% 40.74/27.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31715,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31716,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31715, 31714])).
% 40.74/27.23 tff(31717,plain,
% 40.74/27.23 (v178(constB158) | (~v180(constB159))),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31716, 11230, 20336])).
% 40.74/27.23 tff(31718,plain,
% 40.74/27.23 (~v180(constB159)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31717, 31713])).
% 40.74/27.23 tff(31719,assumption,(constB159 = sK0_VarCurr), introduced(assumption)).
% 40.74/27.23 tff(31720,plain,
% 40.74/27.23 (v180(constB159) <=> v180(sK0_VarCurr)),
% 40.74/27.23 inference(monotonicity,[status(thm)],[31719])).
% 40.74/27.23 tff(31721,plain,
% 40.74/27.23 (v180(sK0_VarCurr) <=> v180(constB159)),
% 40.74/27.23 inference(symmetry,[status(thm)],[31720])).
% 40.74/27.23 tff(31722,plain,
% 40.74/27.23 (v180(constB159)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[11002, 31721])).
% 40.74/27.23 tff(31723,assumption,(~v180(constB159)), introduced(assumption)).
% 40.74/27.23 tff(31724,plain,
% 40.74/27.23 ($false),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31723, 31722])).
% 40.74/27.23 tff(31725,plain,((~(constB159 = sK0_VarCurr)) | v180(constB159) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.74/27.23 tff(31726,plain,
% 40.74/27.23 ((~(constB159 = sK0_VarCurr)) | (~v180(sK0_VarCurr))),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31725, 31718])).
% 40.74/27.23 tff(31727,plain,
% 40.74/27.23 (~(constB159 = sK0_VarCurr)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31726, 10998])).
% 40.74/27.23 tff(31728,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31729,plain,
% 40.74/27.23 (((~v90(constB195, bitIndex0)) | v120(constB195) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)) <=> ((~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31730,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex0)) | v120(constB195) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195)))),
% 40.74/27.23 inference(monotonicity,[status(thm)],[31729])).
% 40.74/27.23 tff(31731,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex0)) | v120(constB195) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195))),
% 40.74/27.23 inference(transitivity,[status(thm)],[31730, 31728])).
% 40.74/27.23 tff(31732,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex0)) | v120(constB195) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31733,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31732, 31731])).
% 40.74/27.23 tff(31734,plain,
% 40.74/27.23 (v120(constB195)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31733, 668, 26620, 26582, 26541])).
% 40.74/27.23 tff(31735,plain,
% 40.74/27.23 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB195)) | (~v130(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB195)) | (~v130(constB195, bitIndex2)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31736,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB195)) | (~v130(constB195, bitIndex2)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31737,plain,
% 40.74/27.23 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB195)) | (~v130(constB195, bitIndex2))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31736, 31735])).
% 40.74/27.23 tff(31738,plain,
% 40.74/27.23 (~v130(constB195, bitIndex2)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31737, 685, 31734])).
% 40.74/27.23 tff(31739,assumption,(v26(constB195)), introduced(assumption)).
% 40.74/27.23 tff(31740,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB195))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31741,plain,
% 40.74/27.23 ($false),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31740, 86, 31739])).
% 40.74/27.23 tff(31742,plain,(~v26(constB195)), inference(lemma,lemma(discharge,[]))).
% 40.74/27.23 tff(31743,plain,
% 40.74/27.23 (((~![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))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31744,plain,
% 40.74/27.23 ((v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2))) <=> ((~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31745,plain,
% 40.74/27.23 (((~![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)))),
% 40.74/27.23 inference(monotonicity,[status(thm)],[31744])).
% 40.74/27.23 tff(31746,plain,
% 40.74/27.23 (((~![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))),
% 40.74/27.23 inference(transitivity,[status(thm)],[31745, 31743])).
% 40.74/27.23 tff(31747,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31748,plain,
% 40.74/27.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2)),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31747, 31746])).
% 40.74/27.23 tff(31749,plain,
% 40.74/27.23 ((~v127(constB195, bitIndex2)) | v130(constB195, bitIndex2)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31748, 435, 31742])).
% 40.74/27.23 tff(31750,plain,
% 40.74/27.23 (~v127(constB195, bitIndex2)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31749, 31738])).
% 40.74/27.23 tff(31751,plain,
% 40.74/27.23 (((~![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)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31752,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31753,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31752, 31751])).
% 40.74/27.23 tff(31754,plain,
% 40.74/27.23 (v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2))),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31753, 453, 26721])).
% 40.74/27.23 tff(31755,plain,
% 40.74/27.23 (~v129(constB196, bitIndex2)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31754, 31750])).
% 40.74/27.23 tff(31756,assumption,(~v100(constB196)), introduced(assumption)).
% 40.74/27.23 tff(31757,plain,
% 40.74/27.23 (((~![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)))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31758,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31759,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196))),
% 40.74/27.23 inference(modus_ponens,[status(thm)],[31758, 31757])).
% 40.74/27.23 tff(31760,plain,
% 40.74/27.23 (~v104(constB196)),
% 40.74/27.23 inference(unit_resolution,[status(thm)],[31759, 355, 26721, 26517])).
% 40.74/27.23 tff(31761,plain,
% 40.74/27.23 (((~![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))),
% 40.74/27.23 inference(rewrite,[status(thm)],[])).
% 40.74/27.23 tff(31762,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))),
% 40.74/27.23 inference(quant_inst,[status(thm)],[])).
% 40.74/27.23 tff(31763,plain,
% 40.74/27.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB195, constB196)) | v102(constB196) | v104(constB196)),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31762, 31761])).
% 40.74/27.24 tff(31764,plain,
% 40.74/27.24 (v102(constB196) | v104(constB196)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31763, 369, 26721])).
% 40.74/27.24 tff(31765,plain,
% 40.74/27.24 (v102(constB196)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31764, 31760])).
% 40.74/27.24 tff(31766,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31767,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31768,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31767, 31766])).
% 40.74/27.24 tff(31769,plain,
% 40.74/27.24 (v101(constB196) | (~v102(constB196))),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31768, 387, 26721, 26705])).
% 40.74/27.24 tff(31770,plain,
% 40.74/27.24 (v101(constB196)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31769, 31765])).
% 40.74/27.24 tff(31771,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31772,plain,
% 40.74/27.24 (((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196)) <=> ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31773,plain,
% 40.74/27.24 (((~![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))))),
% 40.74/27.24 inference(monotonicity,[status(thm)],[31772])).
% 40.74/27.24 tff(31774,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(transitivity,[status(thm)],[31773, 31771])).
% 40.74/27.24 tff(31775,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31776,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31775, 31774])).
% 40.74/27.24 tff(31777,plain,
% 40.74/27.24 (v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31776, 402, 26721])).
% 40.74/27.24 tff(31778,plain,
% 40.74/27.24 (v100(constB196) | (~v110(constB196))),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31777, 31770])).
% 40.74/27.24 tff(31779,plain,
% 40.74/27.24 (~v110(constB196)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31778, 31756])).
% 40.74/27.24 tff(31780,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31781,plain,
% 40.74/27.24 (((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196)) <=> ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31782,plain,
% 40.74/27.24 (((~![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))))),
% 40.74/27.24 inference(monotonicity,[status(thm)],[31781])).
% 40.74/27.24 tff(31783,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(transitivity,[status(thm)],[31782, 31780])).
% 40.74/27.24 tff(31784,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31785,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31784, 31783])).
% 40.74/27.24 tff(31786,plain,
% 40.74/27.24 (v110(constB196) | (~v108(constB195))),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31785, 337, 26721])).
% 40.74/27.24 tff(31787,plain,
% 40.74/27.24 (~v108(constB195)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31786, 31779])).
% 40.74/27.24 tff(31788,plain,
% 40.74/27.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB195) | (~v112(constB195)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB195) | (~v112(constB195)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31789,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB195) | (~v112(constB195)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31790,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB195) | (~v112(constB195))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31789, 31788])).
% 40.74/27.24 tff(31791,plain,
% 40.74/27.24 (~v112(constB195)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31790, 320, 31787])).
% 40.74/27.24 tff(31792,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31793,plain,
% 40.74/27.24 ((v26(constB195) | (~v113(constB195)) | v112(constB195)) <=> (v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31794,plain,
% 40.74/27.24 (((~![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))))),
% 40.74/27.24 inference(monotonicity,[status(thm)],[31793])).
% 40.74/27.24 tff(31795,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(transitivity,[status(thm)],[31794, 31792])).
% 40.74/27.24 tff(31796,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31797,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31796, 31795])).
% 40.74/27.24 tff(31798,plain,
% 40.74/27.24 (v112(constB195) | (~v113(constB195))),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31797, 308, 31742])).
% 40.74/27.24 tff(31799,plain,
% 40.74/27.24 (~v113(constB195)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31798, 31791])).
% 40.74/27.24 tff(31800,plain,
% 40.74/27.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB195) | (~v114(constB195)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB195) | (~v114(constB195)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31801,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB195) | (~v114(constB195)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31802,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB195) | (~v114(constB195))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31801, 31800])).
% 40.74/27.24 tff(31803,plain,
% 40.74/27.24 (~v114(constB195)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31802, 294, 31799])).
% 40.74/27.24 tff(31804,plain,
% 40.74/27.24 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB195) | (~v115(constB195)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB195) | (~v115(constB195)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31805,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB195) | (~v115(constB195)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31806,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB195) | (~v115(constB195))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31805, 31804])).
% 40.74/27.24 tff(31807,plain,
% 40.74/27.24 (~v115(constB195)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31806, 283, 31803])).
% 40.74/27.24 tff(31808,plain,
% 40.74/27.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB195) | (~v123(constB195)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB195) | (~v123(constB195)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31809,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB195) | (~v123(constB195)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31810,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB195) | (~v123(constB195))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31809, 31808])).
% 40.74/27.24 tff(31811,plain,
% 40.74/27.24 (~v123(constB195)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31810, 1247, 31807])).
% 40.74/27.24 tff(31812,assumption,(~v90(constB195, bitIndex1)), introduced(assumption)).
% 40.74/27.24 tff(31813,plain,
% 40.74/27.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB195) | (~v116(constB195)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB195) | (~v116(constB195)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31814,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB195) | (~v116(constB195)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31815,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB195) | (~v116(constB195))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31814, 31813])).
% 40.74/27.24 tff(31816,plain,
% 40.74/27.24 (~v116(constB195)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31815, 272, 31807])).
% 40.74/27.24 tff(31817,plain,
% 40.74/27.24 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB195) | (~v117(constB195)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB195) | (~v117(constB195)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31818,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB195) | (~v117(constB195)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31819,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB195) | (~v117(constB195))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31818, 31817])).
% 40.74/27.24 tff(31820,plain,
% 40.74/27.24 (~v117(constB195)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31819, 261, 31816])).
% 40.74/27.24 tff(31821,plain,
% 40.74/27.24 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB195) | (~v118(constB195)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB195) | (~v118(constB195)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31822,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB195) | (~v118(constB195)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31823,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB195) | (~v118(constB195))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31822, 31821])).
% 40.74/27.24 tff(31824,plain,
% 40.74/27.24 (~v118(constB195)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31823, 250, 31820])).
% 40.74/27.24 tff(31825,plain,
% 40.74/27.24 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB195) | (~v120(constB195)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB195) | (~v120(constB195)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31826,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB195) | (~v120(constB195)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31827,plain,
% 40.74/27.24 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB195) | (~v120(constB195))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31826, 31825])).
% 40.74/27.24 tff(31828,plain,
% 40.74/27.24 (~v120(constB195)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31827, 778, 31824])).
% 40.74/27.24 tff(31829,assumption,(~v90(constB197, bitIndex2)), introduced(assumption)).
% 40.74/27.24 tff(31830,plain,
% 40.74/27.24 ((~v1(constB197)) <=> (~v1(constB197))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31831,axiom,(~v1(constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 40.74/27.24 tff(31832,plain,
% 40.74/27.24 (~v1(constB197)),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31831, 31830])).
% 40.74/27.24 tff(31833,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31834,plain,
% 40.74/27.24 (((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197)) <=> (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31835,plain,
% 40.74/27.24 (((~![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))))),
% 40.74/27.24 inference(monotonicity,[status(thm)],[31834])).
% 40.74/27.24 tff(31836,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(transitivity,[status(thm)],[31835, 31833])).
% 40.74/27.24 tff(31837,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31838,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31837, 31836])).
% 40.74/27.24 tff(31839,plain,
% 40.74/27.24 (~v101(constB197)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31838, 133, 26776, 31832])).
% 40.74/27.24 tff(31840,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31841,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31842,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31841, 31840])).
% 40.74/27.24 tff(31843,plain,
% 40.74/27.24 (v101(constB197) | (~v100(constB197))),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31842, 150, 26776])).
% 40.74/27.24 tff(31844,plain,
% 40.74/27.24 (~v100(constB197)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31843, 31839])).
% 40.74/27.24 tff(31845,plain,
% 40.74/27.24 (((~![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))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31846,plain,
% 40.74/27.24 (((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex2)) | v100(constB197) | v90(constB197, bitIndex2)) <=> ((~v90(constB196, bitIndex2)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex2))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31847,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(monotonicity,[status(thm)],[31846])).
% 40.74/27.24 tff(31848,plain,
% 40.74/27.24 (((~![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))),
% 40.74/27.24 inference(transitivity,[status(thm)],[31847, 31845])).
% 40.74/27.24 tff(31849,plain,
% 40.74/27.24 ((~![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))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31850,plain,
% 40.74/27.24 ((~![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)),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31849, 31848])).
% 40.74/27.24 tff(31851,plain,
% 40.74/27.24 ((~v90(constB196, bitIndex2)) | v100(constB197) | v90(constB197, bitIndex2)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31850, 2118, 26776])).
% 40.74/27.24 tff(31852,plain,
% 40.74/27.24 ((~v90(constB196, bitIndex2)) | v90(constB197, bitIndex2)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31851, 31844])).
% 40.74/27.24 tff(31853,plain,
% 40.74/27.24 (~v90(constB196, bitIndex2)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31852, 31829])).
% 40.74/27.24 tff(31854,plain,
% 40.74/27.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB195, bitIndex2)) | (~nextState(constB195, constB196)) | v100(constB196) | v90(constB196, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB195, bitIndex2)) | (~nextState(constB195, constB196)) | v100(constB196) | v90(constB196, bitIndex2))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31855,plain,
% 40.74/27.24 (((~nextState(constB195, constB196)) | (~v90(constB195, bitIndex2)) | v100(constB196) | v90(constB196, bitIndex2)) <=> ((~v90(constB195, bitIndex2)) | (~nextState(constB195, constB196)) | v100(constB196) | v90(constB196, bitIndex2))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31856,plain,
% 40.74/27.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB195, constB196)) | (~v90(constB195, bitIndex2)) | v100(constB196) | v90(constB196, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB195, bitIndex2)) | (~nextState(constB195, constB196)) | v100(constB196) | v90(constB196, bitIndex2)))),
% 40.74/27.24 inference(monotonicity,[status(thm)],[31855])).
% 40.74/27.24 tff(31857,plain,
% 40.74/27.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB195, constB196)) | (~v90(constB195, bitIndex2)) | v100(constB196) | v90(constB196, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB195, bitIndex2)) | (~nextState(constB195, constB196)) | v100(constB196) | v90(constB196, bitIndex2))),
% 40.74/27.24 inference(transitivity,[status(thm)],[31856, 31854])).
% 40.74/27.24 tff(31858,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB195, constB196)) | (~v90(constB195, bitIndex2)) | v100(constB196) | v90(constB196, bitIndex2))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31859,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB195, bitIndex2)) | (~nextState(constB195, constB196)) | v100(constB196) | v90(constB196, bitIndex2)),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31858, 31857])).
% 40.74/27.24 tff(31860,plain,
% 40.74/27.24 ((~v90(constB195, bitIndex2)) | v100(constB196) | v90(constB196, bitIndex2)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31859, 2118, 26721])).
% 40.74/27.24 tff(31861,plain,
% 40.74/27.24 (~v90(constB195, bitIndex2)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31860, 31853, 31756])).
% 40.74/27.24 tff(31862,plain,
% 40.74/27.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB195, bitIndex1) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB195, bitIndex1) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex1)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31863,plain,
% 40.74/27.24 (((~nextState(constB195, constB196)) | v90(constB195, bitIndex1) | v100(constB196) | (~v90(constB196, bitIndex1))) <=> (v90(constB195, bitIndex1) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex1)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31864,plain,
% 40.74/27.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB195, constB196)) | v90(constB195, bitIndex1) | v100(constB196) | (~v90(constB196, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB195, bitIndex1) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex1))))),
% 40.74/27.24 inference(monotonicity,[status(thm)],[31863])).
% 40.74/27.24 tff(31865,plain,
% 40.74/27.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB195, constB196)) | v90(constB195, bitIndex1) | v100(constB196) | (~v90(constB196, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB195, bitIndex1) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex1)))),
% 40.74/27.24 inference(transitivity,[status(thm)],[31864, 31862])).
% 40.74/27.24 tff(31866,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB195, constB196)) | v90(constB195, bitIndex1) | v100(constB196) | (~v90(constB196, bitIndex1)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31867,plain,
% 40.74/27.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB195, bitIndex1) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex1))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31866, 31865])).
% 40.74/27.24 tff(31868,plain,
% 40.74/27.24 (v90(constB195, bitIndex1) | v100(constB196) | (~v90(constB196, bitIndex1))),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31867, 186, 26721])).
% 40.74/27.24 tff(31869,plain,
% 40.74/27.24 (~v90(constB196, bitIndex1)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31868, 31756, 31812])).
% 40.74/27.24 tff(31870,assumption,(~v90(constB196, bitIndex0)), introduced(assumption)).
% 40.74/27.24 tff(31871,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31872,plain,
% 40.74/27.24 (((~nextState(constB196, constB197)) | v90(constB196, bitIndex0) | v100(constB197) | (~v90(constB197, bitIndex0))) <=> (v90(constB196, bitIndex0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex0)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31873,plain,
% 40.74/27.24 (((~![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))))),
% 40.74/27.24 inference(monotonicity,[status(thm)],[31872])).
% 40.74/27.24 tff(31874,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(transitivity,[status(thm)],[31873, 31871])).
% 40.74/27.24 tff(31875,plain,
% 40.74/27.24 ((~![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)))),
% 40.74/27.24 inference(quant_inst,[status(thm)],[])).
% 40.74/27.24 tff(31876,plain,
% 40.74/27.24 ((~![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))),
% 40.74/27.24 inference(modus_ponens,[status(thm)],[31875, 31874])).
% 40.74/27.24 tff(31877,plain,
% 40.74/27.24 (v90(constB196, bitIndex0) | v100(constB197) | (~v90(constB197, bitIndex0))),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31876, 207, 26776])).
% 40.74/27.24 tff(31878,plain,
% 40.74/27.24 (v90(constB196, bitIndex0) | (~v90(constB197, bitIndex0))),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31877, 31844])).
% 40.74/27.24 tff(31879,plain,
% 40.74/27.24 (~v90(constB197, bitIndex0)),
% 40.74/27.24 inference(unit_resolution,[status(thm)],[31878, 31870])).
% 40.74/27.24 tff(31880,assumption,(~v90(constB196, bitIndex1)), introduced(assumption)).
% 40.74/27.24 tff(31881,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31882,plain,
% 40.74/27.24 (((~nextState(constB196, constB197)) | v90(constB196, bitIndex1) | v100(constB197) | (~v90(constB197, bitIndex1))) <=> (v90(constB196, bitIndex1) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex1)))),
% 40.74/27.24 inference(rewrite,[status(thm)],[])).
% 40.74/27.24 tff(31883,plain,
% 40.74/27.24 (((~![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))))),
% 40.74/27.24 inference(monotonicity,[status(thm)],[31882])).
% 40.74/27.24 tff(31884,plain,
% 40.74/27.24 (((~![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)))),
% 40.74/27.24 inference(transitivity,[status(thm)],[31883, 31881])).
% 40.74/27.24 tff(31885,plain,
% 40.74/27.24 ((~![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)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31886,plain,
% 40.74/27.25 ((~![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))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31885, 31884])).
% 40.74/27.25 tff(31887,plain,
% 40.74/27.25 (v90(constB196, bitIndex1) | v100(constB197) | (~v90(constB197, bitIndex1))),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31886, 186, 26776])).
% 40.74/27.25 tff(31888,plain,
% 40.74/27.25 (v90(constB196, bitIndex1) | (~v90(constB197, bitIndex1))),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31887, 31844])).
% 40.74/27.25 tff(31889,plain,
% 40.74/27.25 (~v90(constB197, bitIndex1)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31888, 31880])).
% 40.74/27.25 tff(31890,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB197) | v90(constB197, bitIndex0) | v90(constB197, bitIndex1) | v90(constB197, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB197) | v90(constB197, bitIndex0) | v90(constB197, bitIndex1) | v90(constB197, bitIndex2))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31891,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB197) | v90(constB197, bitIndex0) | v90(constB197, bitIndex1) | v90(constB197, bitIndex2))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31892,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB197) | v90(constB197, bitIndex0) | v90(constB197, bitIndex1) | v90(constB197, bitIndex2)),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31891, 31890])).
% 40.74/27.25 tff(31893,plain,
% 40.74/27.25 (v119(constB197) | v90(constB197, bitIndex0) | v90(constB197, bitIndex1)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31892, 228, 31829])).
% 40.74/27.25 tff(31894,plain,
% 40.74/27.25 (v119(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31893, 31889, 31879])).
% 40.74/27.25 tff(31895,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB197) | (~v119(constB197)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB197) | (~v119(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31896,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB197) | (~v119(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31897,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB197) | (~v119(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31896, 31895])).
% 40.74/27.25 tff(31898,plain,
% 40.74/27.25 (v118(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31897, 239, 31894])).
% 40.74/27.25 tff(31899,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB197) | (~v118(constB197)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB197) | (~v118(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31900,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB197) | (~v118(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31901,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB197) | (~v118(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31900, 31899])).
% 40.74/27.25 tff(31902,plain,
% 40.74/27.25 (v117(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31901, 250, 31898])).
% 40.74/27.25 tff(31903,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB197) | (~v117(constB197)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB197) | (~v117(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31904,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB197) | (~v117(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31905,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB197) | (~v117(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31904, 31903])).
% 40.74/27.25 tff(31906,plain,
% 40.74/27.25 (v116(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31905, 261, 31902])).
% 40.74/27.25 tff(31907,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB197) | (~v116(constB197)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB197) | (~v116(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31908,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB197) | (~v116(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31909,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB197) | (~v116(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31908, 31907])).
% 40.74/27.25 tff(31910,plain,
% 40.74/27.25 (v115(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31909, 272, 31906])).
% 40.74/27.25 tff(31911,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB197) | (~v115(constB197)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB197) | (~v115(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31912,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB197) | (~v115(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31913,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB197) | (~v115(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31912, 31911])).
% 40.74/27.25 tff(31914,plain,
% 40.74/27.25 (v114(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31913, 283, 31910])).
% 40.74/27.25 tff(31915,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB197) | (~v114(constB197)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB197) | (~v114(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31916,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB197) | (~v114(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31917,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB197) | (~v114(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31916, 31915])).
% 40.74/27.25 tff(31918,plain,
% 40.74/27.25 (v113(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31917, 294, 31914])).
% 40.74/27.25 tff(31919,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB197, bitIndex2) | (~v124(constB197)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB197, bitIndex2) | (~v124(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31920,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB197, bitIndex2) | (~v124(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31921,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB197, bitIndex2) | (~v124(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31920, 31919])).
% 40.74/27.25 tff(31922,plain,
% 40.74/27.25 (~v124(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31921, 7720, 31829])).
% 40.74/27.25 tff(31923,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB197, bitIndex2) | (~v123(constB197)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB197, bitIndex2) | (~v123(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31924,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB197, bitIndex2) | (~v123(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31925,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB197, bitIndex2) | (~v123(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31924, 31923])).
% 40.74/27.25 tff(31926,plain,
% 40.74/27.25 (~v123(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31925, 8564, 31829])).
% 40.74/27.25 tff(31927,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB197, bitIndex0) | (~v122(constB197)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB197, bitIndex0) | (~v122(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31928,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB197, bitIndex0) | (~v122(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31929,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB197, bitIndex0) | (~v122(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31928, 31927])).
% 40.74/27.25 tff(31930,plain,
% 40.74/27.25 (~v122(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31929, 1968, 31879])).
% 40.74/27.25 tff(31931,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB197, bitIndex0) | (~v120(constB197)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB197, bitIndex0) | (~v120(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31932,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB197, bitIndex0) | (~v120(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31933,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB197, bitIndex0) | (~v120(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31932, 31931])).
% 40.74/27.25 tff(31934,plain,
% 40.74/27.25 (~v120(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31933, 1957, 31879])).
% 40.74/27.25 tff(31935,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB197, bitIndex1) | (~v121(constB197)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB197, bitIndex1) | (~v121(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31936,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB197, bitIndex1) | (~v121(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31937,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB197, bitIndex1) | (~v121(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31936, 31935])).
% 40.74/27.25 tff(31938,plain,
% 40.74/27.25 (~v121(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31937, 8308, 31889])).
% 40.74/27.25 tff(31939,assumption,(v113(constB197)), introduced(assumption)).
% 40.74/27.25 tff(31940,assumption,(~v124(constB197)), introduced(assumption)).
% 40.74/27.25 tff(31941,assumption,(~v123(constB197)), introduced(assumption)).
% 40.74/27.25 tff(31942,assumption,(~v122(constB197)), introduced(assumption)).
% 40.74/27.25 tff(31943,assumption,(~v121(constB197)), introduced(assumption)).
% 40.74/27.25 tff(31944,assumption,(~v120(constB197)), introduced(assumption)).
% 40.74/27.25 tff(31945,plain,
% 40.74/27.25 (~v90(constB196, bitIndex1)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31868, 31812, 31756])).
% 40.74/27.25 tff(31946,plain,
% 40.74/27.25 (~v90(constB197, bitIndex1)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31888, 31945])).
% 40.74/27.25 tff(31947,plain,
% 40.74/27.25 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v125(VarCurr))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(31948,plain,
% 40.74/27.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[31947])).
% 40.74/27.25 tff(31949,plain,
% 40.74/27.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31950,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_3')).
% 40.74/27.25 tff(31951,plain,
% 40.74/27.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31950, 31949])).
% 40.74/27.25 tff(31952,plain,(
% 40.74/27.25 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 40.74/27.25 inference(skolemize,[status(sab)],[31951])).
% 40.74/27.25 tff(31953,plain,
% 40.74/27.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31952, 31948])).
% 40.74/27.25 tff(31954,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | (v90(constB197, bitIndex1) | (~v125(constB197)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | v90(constB197, bitIndex1) | (~v125(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31955,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | (v90(constB197, bitIndex1) | (~v125(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31956,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | v90(constB197, bitIndex1) | (~v125(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31955, 31954])).
% 40.74/27.25 tff(31957,plain,
% 40.74/27.25 (~v125(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31956, 31953, 31946])).
% 40.74/27.25 tff(31958,plain,
% 40.74/27.25 (^[VarCurr: $i] : refl((v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(31959,plain,
% 40.74/27.25 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[31958])).
% 40.74/27.25 tff(31960,plain,
% 40.74/27.25 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31961,plain,
% 40.74/27.25 (^[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)))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(31962,plain,
% 40.74/27.25 (![VarCurr: $i] : ((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[31961])).
% 40.74/27.25 tff(31963,axiom,(![VarCurr: $i] : ((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 40.74/27.25 tff(31964,plain,
% 40.74/27.25 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31963, 31962])).
% 40.74/27.25 tff(31965,plain,
% 40.74/27.25 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31964, 31960])).
% 40.74/27.25 tff(31966,plain,(
% 40.74/27.25 ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 40.74/27.25 inference(skolemize,[status(sab)],[31965])).
% 40.74/27.25 tff(31967,plain,
% 40.74/27.25 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31966, 31959])).
% 40.74/27.25 tff(31968,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB197) | v125(constB197) | (~v113(constB197)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB197) | v125(constB197) | (~v113(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31969,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB197) | v125(constB197) | (~v113(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31970,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB197) | v125(constB197) | (~v113(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31969, 31968])).
% 40.74/27.25 tff(31971,plain,
% 40.74/27.25 (v114(constB197) | v125(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31970, 31967, 31939])).
% 40.74/27.25 tff(31972,plain,
% 40.74/27.25 (v114(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31971, 31957])).
% 40.74/27.25 tff(31973,plain,
% 40.74/27.25 (^[VarCurr: $i] : refl((v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(31974,plain,
% 40.74/27.25 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[31973])).
% 40.74/27.25 tff(31975,plain,
% 40.74/27.25 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31976,plain,
% 40.74/27.25 (^[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)))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(31977,plain,
% 40.74/27.25 (![VarCurr: $i] : ((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[31976])).
% 40.74/27.25 tff(31978,axiom,(![VarCurr: $i] : ((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 40.74/27.25 tff(31979,plain,
% 40.74/27.25 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31978, 31977])).
% 40.74/27.25 tff(31980,plain,
% 40.74/27.25 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31979, 31975])).
% 40.74/27.25 tff(31981,plain,(
% 40.74/27.25 ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 40.74/27.25 inference(skolemize,[status(sab)],[31980])).
% 40.74/27.25 tff(31982,plain,
% 40.74/27.25 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31981, 31974])).
% 40.74/27.25 tff(31983,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB197) | v124(constB197) | (~v114(constB197)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB197) | v124(constB197) | (~v114(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31984,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB197) | v124(constB197) | (~v114(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(31985,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB197) | v124(constB197) | (~v114(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31984, 31983])).
% 40.74/27.25 tff(31986,plain,
% 40.74/27.25 (v115(constB197) | (~v114(constB197))),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31985, 31982, 31940])).
% 40.74/27.25 tff(31987,plain,
% 40.74/27.25 (v115(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31986, 31972])).
% 40.74/27.25 tff(31988,plain,
% 40.74/27.25 (^[VarCurr: $i] : refl((v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(31989,plain,
% 40.74/27.25 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[31988])).
% 40.74/27.25 tff(31990,plain,
% 40.74/27.25 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31991,plain,
% 40.74/27.25 (^[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)))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(31992,plain,
% 40.74/27.25 (![VarCurr: $i] : ((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[31991])).
% 40.74/27.25 tff(31993,axiom,(![VarCurr: $i] : ((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_3')).
% 40.74/27.25 tff(31994,plain,
% 40.74/27.25 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31993, 31992])).
% 40.74/27.25 tff(31995,plain,
% 40.74/27.25 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31994, 31990])).
% 40.74/27.25 tff(31996,plain,(
% 40.74/27.25 ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 40.74/27.25 inference(skolemize,[status(sab)],[31995])).
% 40.74/27.25 tff(31997,plain,
% 40.74/27.25 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31996, 31989])).
% 40.74/27.25 tff(31998,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB197) | v123(constB197) | (~v115(constB197)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB197) | v123(constB197) | (~v115(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(31999,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB197) | v123(constB197) | (~v115(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32000,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB197) | v123(constB197) | (~v115(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[31999, 31998])).
% 40.74/27.25 tff(32001,plain,
% 40.74/27.25 (v116(constB197) | (~v115(constB197))),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32000, 31997, 31941])).
% 40.74/27.25 tff(32002,plain,
% 40.74/27.25 (v116(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32001, 31987])).
% 40.74/27.25 tff(32003,plain,
% 40.74/27.25 (^[VarCurr: $i] : refl((v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(32004,plain,
% 40.74/27.25 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[32003])).
% 40.74/27.25 tff(32005,plain,
% 40.74/27.25 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32006,plain,
% 40.74/27.25 (^[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)))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(32007,plain,
% 40.74/27.25 (![VarCurr: $i] : ((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[32006])).
% 40.74/27.25 tff(32008,axiom,(![VarCurr: $i] : ((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 40.74/27.25 tff(32009,plain,
% 40.74/27.25 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32008, 32007])).
% 40.74/27.25 tff(32010,plain,
% 40.74/27.25 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32009, 32005])).
% 40.74/27.25 tff(32011,plain,(
% 40.74/27.25 ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 40.74/27.25 inference(skolemize,[status(sab)],[32010])).
% 40.74/27.25 tff(32012,plain,
% 40.74/27.25 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32011, 32004])).
% 40.74/27.25 tff(32013,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB197) | v122(constB197) | (~v116(constB197)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB197) | v122(constB197) | (~v116(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32014,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB197) | v122(constB197) | (~v116(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32015,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB197) | v122(constB197) | (~v116(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32014, 32013])).
% 40.74/27.25 tff(32016,plain,
% 40.74/27.25 (v117(constB197) | (~v116(constB197))),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32015, 32012, 31942])).
% 40.74/27.25 tff(32017,plain,
% 40.74/27.25 (v117(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32016, 32002])).
% 40.74/27.25 tff(32018,plain,
% 40.74/27.25 (^[VarCurr: $i] : refl((v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(32019,plain,
% 40.74/27.25 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[32018])).
% 40.74/27.25 tff(32020,plain,
% 40.74/27.25 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32021,plain,
% 40.74/27.25 (^[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)))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(32022,plain,
% 40.74/27.25 (![VarCurr: $i] : ((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[32021])).
% 40.74/27.25 tff(32023,axiom,(![VarCurr: $i] : ((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 40.74/27.25 tff(32024,plain,
% 40.74/27.25 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32023, 32022])).
% 40.74/27.25 tff(32025,plain,
% 40.74/27.25 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32024, 32020])).
% 40.74/27.25 tff(32026,plain,(
% 40.74/27.25 ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 40.74/27.25 inference(skolemize,[status(sab)],[32025])).
% 40.74/27.25 tff(32027,plain,
% 40.74/27.25 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32026, 32019])).
% 40.74/27.25 tff(32028,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB197) | v121(constB197) | (~v117(constB197)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB197) | v121(constB197) | (~v117(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32029,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB197) | v121(constB197) | (~v117(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32030,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB197) | v121(constB197) | (~v117(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32029, 32028])).
% 40.74/27.25 tff(32031,plain,
% 40.74/27.25 (v118(constB197) | (~v117(constB197))),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32030, 32027, 31943])).
% 40.74/27.25 tff(32032,plain,
% 40.74/27.25 (v118(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32031, 32017])).
% 40.74/27.25 tff(32033,plain,
% 40.74/27.25 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(32034,plain,
% 40.74/27.25 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[32033])).
% 40.74/27.25 tff(32035,plain,
% 40.74/27.25 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32036,plain,
% 40.74/27.25 (^[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)))))),
% 40.74/27.25 inference(bind,[status(th)],[])).
% 40.74/27.25 tff(32037,plain,
% 40.74/27.25 (![VarCurr: $i] : ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 40.74/27.25 inference(quant_intro,[status(thm)],[32036])).
% 40.74/27.25 tff(32038,axiom,(![VarCurr: $i] : ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_3')).
% 40.74/27.25 tff(32039,plain,
% 40.74/27.25 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32038, 32037])).
% 40.74/27.25 tff(32040,plain,
% 40.74/27.25 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32039, 32035])).
% 40.74/27.25 tff(32041,plain,(
% 40.74/27.25 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 40.74/27.25 inference(skolemize,[status(sab)],[32040])).
% 40.74/27.25 tff(32042,plain,
% 40.74/27.25 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32041, 32034])).
% 40.74/27.25 tff(32043,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB197) | v119(constB197) | (~v118(constB197)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB197) | v119(constB197) | (~v118(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32044,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB197) | v119(constB197) | (~v118(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32045,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB197) | v119(constB197) | (~v118(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32044, 32043])).
% 40.74/27.25 tff(32046,plain,
% 40.74/27.25 (v119(constB197) | (~v118(constB197))),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32045, 32042, 31944])).
% 40.74/27.25 tff(32047,plain,
% 40.74/27.25 (v119(constB197)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32046, 32032])).
% 40.74/27.25 tff(32048,plain,
% 40.74/27.25 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB197)) | (~v90(constB197, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB197)) | (~v90(constB197, bitIndex2)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32049,plain,
% 40.74/27.25 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB197)) | (~v90(constB197, bitIndex2)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32050,plain,
% 40.74/27.25 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB197)) | (~v90(constB197, bitIndex2))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32049, 32048])).
% 40.74/27.25 tff(32051,plain,
% 40.74/27.25 (~v90(constB197, bitIndex2)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32050, 8536, 32047])).
% 40.74/27.25 tff(32052,plain,
% 40.74/27.25 (~v90(constB196, bitIndex2)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31852, 32051])).
% 40.74/27.25 tff(32053,plain,
% 40.74/27.25 (~v90(constB195, bitIndex2)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31860, 32052, 31756])).
% 40.74/27.25 tff(32054,plain,
% 40.74/27.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB197, bitIndex0)) | (~v119(constB197)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB197, bitIndex0)) | (~v119(constB197)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32055,plain,
% 40.74/27.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB197, bitIndex0)) | (~v119(constB197)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32056,plain,
% 40.74/27.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB197, bitIndex0)) | (~v119(constB197))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32055, 32054])).
% 40.74/27.25 tff(32057,plain,
% 40.74/27.25 (~v90(constB197, bitIndex0)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32056, 7128, 32047])).
% 40.74/27.25 tff(32058,plain,
% 40.74/27.25 (((~![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))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32059,plain,
% 40.74/27.25 (((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex0)) | v100(constB197) | v90(constB197, bitIndex0)) <=> ((~v90(constB196, bitIndex0)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex0))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32060,plain,
% 40.74/27.25 (((~![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)))),
% 40.74/27.25 inference(monotonicity,[status(thm)],[32059])).
% 40.74/27.25 tff(32061,plain,
% 40.74/27.25 (((~![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))),
% 40.74/27.25 inference(transitivity,[status(thm)],[32060, 32058])).
% 40.74/27.25 tff(32062,plain,
% 40.74/27.25 ((~![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))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32063,plain,
% 40.74/27.25 ((~![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)),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32062, 32061])).
% 40.74/27.25 tff(32064,plain,
% 40.74/27.25 ((~v90(constB196, bitIndex0)) | v100(constB197) | v90(constB197, bitIndex0)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32063, 649, 26776])).
% 40.74/27.25 tff(32065,plain,
% 40.74/27.25 ((~v90(constB196, bitIndex0)) | v90(constB197, bitIndex0)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32064, 31844])).
% 40.74/27.25 tff(32066,plain,
% 40.74/27.25 (~v90(constB196, bitIndex0)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32065, 32057])).
% 40.74/27.25 tff(32067,plain,
% 40.74/27.25 (((~![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))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32068,plain,
% 40.74/27.25 (((~nextState(constB195, constB196)) | (~v90(constB195, bitIndex0)) | v100(constB196) | v90(constB196, bitIndex0)) <=> ((~v90(constB195, bitIndex0)) | (~nextState(constB195, constB196)) | v100(constB196) | v90(constB196, bitIndex0))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32069,plain,
% 40.74/27.25 (((~![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)))),
% 40.74/27.25 inference(monotonicity,[status(thm)],[32068])).
% 40.74/27.25 tff(32070,plain,
% 40.74/27.25 (((~![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))),
% 40.74/27.25 inference(transitivity,[status(thm)],[32069, 32067])).
% 40.74/27.25 tff(32071,plain,
% 40.74/27.25 ((~![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))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32072,plain,
% 40.74/27.25 ((~![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)),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32071, 32070])).
% 40.74/27.25 tff(32073,plain,
% 40.74/27.25 ((~v90(constB195, bitIndex0)) | v100(constB196) | v90(constB196, bitIndex0)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32072, 649, 26721])).
% 40.74/27.25 tff(32074,plain,
% 40.74/27.25 (~v90(constB195, bitIndex0)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32073, 32066, 31756])).
% 40.74/27.25 tff(32075,assumption,(~v119(constB195)), introduced(assumption)).
% 40.74/27.25 tff(32076,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB195) | v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB195) | v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32077,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB195) | v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32078,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB195) | v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32077, 32076])).
% 40.74/27.25 tff(32079,plain,
% 40.74/27.25 (v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32078, 228, 32075])).
% 40.74/27.25 tff(32080,plain,
% 40.74/27.25 ($false),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32079, 32074, 32053, 31812])).
% 40.74/27.25 tff(32081,plain,(v90(constB195, bitIndex1) | v119(constB195) | v100(constB196) | v120(constB197) | v121(constB197) | v122(constB197) | v123(constB197) | v124(constB197) | (~v113(constB197))), inference(lemma,lemma(discharge,[]))).
% 40.74/27.25 tff(32082,plain,
% 40.74/27.25 (v119(constB195)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32081, 31756, 31812, 31944, 31943, 31942, 31941, 31940, 31939])).
% 40.74/27.25 tff(32083,plain,
% 40.74/27.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB195) | (~v119(constB195)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB195) | (~v119(constB195)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32084,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB195) | (~v119(constB195)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32085,plain,
% 40.74/27.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB195) | (~v119(constB195))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32084, 32083])).
% 40.74/27.25 tff(32086,plain,
% 40.74/27.25 (v118(constB195)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32085, 239, 32082])).
% 40.74/27.25 tff(32087,plain,
% 40.74/27.25 (v117(constB195)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31823, 250, 32086])).
% 40.74/27.25 tff(32088,plain,
% 40.74/27.25 (v116(constB195)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31819, 261, 32087])).
% 40.74/27.25 tff(32089,plain,
% 40.74/27.25 ($false),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[31815, 272, 32088, 31807])).
% 40.74/27.25 tff(32090,plain,(v100(constB196) | v90(constB195, bitIndex1) | v120(constB197) | v121(constB197) | v122(constB197) | v123(constB197) | v124(constB197) | (~v113(constB197))), inference(lemma,lemma(discharge,[]))).
% 40.74/27.25 tff(32091,plain,
% 40.74/27.25 (v100(constB196)),
% 40.74/27.25 inference(unit_resolution,[status(thm)],[32090, 31938, 31934, 31812, 31930, 31926, 31922, 31918])).
% 40.74/27.25 tff(32092,plain,
% 40.74/27.25 (((~![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)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32093,plain,
% 40.74/27.25 ((v90(constB196, bitIndex2) | (~v100(constB196)) | (~v129(constB196, bitIndex2))) <=> (v90(constB196, bitIndex2) | (~v129(constB196, bitIndex2)) | (~v100(constB196)))),
% 40.74/27.25 inference(rewrite,[status(thm)],[])).
% 40.74/27.25 tff(32094,plain,
% 40.74/27.25 (((~![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))))),
% 40.74/27.25 inference(monotonicity,[status(thm)],[32093])).
% 40.74/27.25 tff(32095,plain,
% 40.74/27.25 (((~![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)))),
% 40.74/27.25 inference(transitivity,[status(thm)],[32094, 32092])).
% 40.74/27.25 tff(32096,plain,
% 40.74/27.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB196, bitIndex2) | (~v100(constB196)) | (~v129(constB196, bitIndex2)))),
% 40.74/27.25 inference(quant_inst,[status(thm)],[])).
% 40.74/27.25 tff(32097,plain,
% 40.74/27.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB196, bitIndex2) | (~v129(constB196, bitIndex2)) | (~v100(constB196))),
% 40.74/27.25 inference(modus_ponens,[status(thm)],[32096, 32095])).
% 40.74/27.25 tff(32098,plain,
% 40.74/27.25 ((~v129(constB196, bitIndex2)) | (~v100(constB196))),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32097, 2100, 31853])).
% 40.74/27.26 tff(32099,plain,
% 40.74/27.26 (~v129(constB196, bitIndex2)),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32098, 32091])).
% 40.74/27.26 tff(32100,plain,
% 40.74/27.26 (((~![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))),
% 40.74/27.26 inference(rewrite,[status(thm)],[])).
% 40.74/27.26 tff(32101,plain,
% 40.74/27.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB195, constB196)) | (~v127(constB195, bitIndex2)) | v129(constB196, bitIndex2))),
% 40.74/27.26 inference(quant_inst,[status(thm)],[])).
% 40.74/27.26 tff(32102,plain,
% 40.74/27.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB195, constB196)) | (~v127(constB195, bitIndex2)) | v129(constB196, bitIndex2)),
% 40.74/27.26 inference(modus_ponens,[status(thm)],[32101, 32100])).
% 40.74/27.26 tff(32103,plain,
% 40.74/27.26 ((~v127(constB195, bitIndex2)) | v129(constB196, bitIndex2)),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32102, 1836, 26721])).
% 40.74/27.26 tff(32104,plain,
% 40.74/27.26 (~v127(constB195, bitIndex2)),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32103, 32099])).
% 40.74/27.26 tff(32105,plain,
% 40.74/27.26 (((~![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))) | v26(constB195) | (~v130(constB195, bitIndex2)) | v127(constB195, bitIndex2))),
% 40.74/27.26 inference(rewrite,[status(thm)],[])).
% 40.74/27.26 tff(32106,plain,
% 40.74/27.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB195) | (~v130(constB195, bitIndex2)) | v127(constB195, bitIndex2))),
% 40.74/27.26 inference(quant_inst,[status(thm)],[])).
% 40.74/27.26 tff(32107,plain,
% 40.74/27.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB195) | (~v130(constB195, bitIndex2)) | v127(constB195, bitIndex2)),
% 40.74/27.26 inference(modus_ponens,[status(thm)],[32106, 32105])).
% 40.74/27.26 tff(32108,plain,
% 40.74/27.26 ((~v130(constB195, bitIndex2)) | v127(constB195, bitIndex2)),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32107, 1821, 31742])).
% 40.74/27.26 tff(32109,plain,
% 40.74/27.26 (~v130(constB195, bitIndex2)),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32108, 32104])).
% 40.74/27.26 tff(32110,plain,
% 40.74/27.26 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB195)) | v130(constB195, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB195)) | v130(constB195, bitIndex2))),
% 40.74/27.26 inference(rewrite,[status(thm)],[])).
% 40.74/27.26 tff(32111,plain,
% 40.74/27.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB195)) | v130(constB195, bitIndex2))),
% 40.74/27.26 inference(quant_inst,[status(thm)],[])).
% 40.74/27.26 tff(32112,plain,
% 40.74/27.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB195)) | v130(constB195, bitIndex2)),
% 40.74/27.26 inference(modus_ponens,[status(thm)],[32111, 32110])).
% 40.74/27.26 tff(32113,plain,
% 40.74/27.26 (~v123(constB195)),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32112, 2165, 32109])).
% 40.74/27.26 tff(32114,plain,
% 40.74/27.26 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB195)) | v130(constB195, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB195)) | v130(constB195, bitIndex2))),
% 40.74/27.26 inference(rewrite,[status(thm)],[])).
% 40.74/27.26 tff(32115,plain,
% 40.74/27.26 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB195)) | v130(constB195, bitIndex2))),
% 40.74/27.26 inference(quant_inst,[status(thm)],[])).
% 40.74/27.26 tff(32116,plain,
% 40.74/27.26 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB195)) | v130(constB195, bitIndex2)),
% 40.74/27.26 inference(modus_ponens,[status(thm)],[32115, 32114])).
% 40.74/27.26 tff(32117,plain,
% 40.74/27.26 (~v124(constB195)),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32116, 2303, 32109])).
% 40.74/27.26 tff(32118,plain,
% 40.74/27.26 (((~![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)))),
% 40.74/27.26 inference(rewrite,[status(thm)],[])).
% 40.74/27.26 tff(32119,plain,
% 40.74/27.26 ((v90(constB196, bitIndex0) | (~v100(constB196)) | (~v129(constB196, bitIndex0))) <=> (v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0)) | (~v100(constB196)))),
% 40.74/27.26 inference(rewrite,[status(thm)],[])).
% 40.74/27.26 tff(32120,plain,
% 40.74/27.26 (((~![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))))),
% 40.74/27.26 inference(monotonicity,[status(thm)],[32119])).
% 40.74/27.26 tff(32121,plain,
% 40.74/27.26 (((~![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)))),
% 40.74/27.26 inference(transitivity,[status(thm)],[32120, 32118])).
% 40.74/27.26 tff(32122,plain,
% 40.74/27.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB196, bitIndex0) | (~v100(constB196)) | (~v129(constB196, bitIndex0)))),
% 40.74/27.26 inference(quant_inst,[status(thm)],[])).
% 40.74/27.26 tff(32123,plain,
% 40.74/27.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0)) | (~v100(constB196))),
% 40.74/27.26 inference(modus_ponens,[status(thm)],[32122, 32121])).
% 40.74/27.26 tff(32124,plain,
% 40.74/27.26 ((~v129(constB196, bitIndex0)) | (~v100(constB196))),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32123, 631, 31870])).
% 40.74/27.26 tff(32125,plain,
% 40.74/27.26 (~v129(constB196, bitIndex0)),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32124, 32091])).
% 40.74/27.26 tff(32126,plain,
% 40.74/27.26 (((~![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))),
% 40.74/27.26 inference(rewrite,[status(thm)],[])).
% 40.74/27.26 tff(32127,plain,
% 40.74/27.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB195, constB196)) | (~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0))),
% 40.74/27.26 inference(quant_inst,[status(thm)],[])).
% 40.74/27.26 tff(32128,plain,
% 40.74/27.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB195, constB196)) | (~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0)),
% 40.74/27.26 inference(modus_ponens,[status(thm)],[32127, 32126])).
% 40.74/27.26 tff(32129,plain,
% 40.74/27.26 ((~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0)),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32128, 616, 26721])).
% 40.74/27.26 tff(32130,plain,
% 40.74/27.26 (~v127(constB195, bitIndex0)),
% 40.74/27.26 inference(unit_resolution,[status(thm)],[32129, 32125])).
% 40.74/27.26 tff(32131,plain,
% 40.74/27.26 (((~![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))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32132,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB195) | (~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32133,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB195) | (~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0)),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32132, 32131])).
% 40.82/27.26 tff(32134,plain,
% 40.82/27.26 ((~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32133, 601, 31742])).
% 40.82/27.26 tff(32135,plain,
% 40.82/27.26 (~v130(constB195, bitIndex0)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32134, 32130])).
% 40.82/27.26 tff(32136,plain,
% 40.82/27.26 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB195)) | v130(constB195, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB195)) | v130(constB195, bitIndex0))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32137,plain,
% 40.82/27.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB195)) | v130(constB195, bitIndex0))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32138,plain,
% 40.82/27.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB195)) | v130(constB195, bitIndex0)),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32137, 32136])).
% 40.82/27.26 tff(32139,plain,
% 40.82/27.26 (~v119(constB195)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32138, 587, 32135])).
% 40.82/27.26 tff(32140,plain,
% 40.82/27.26 (((~![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)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32141,plain,
% 40.82/27.26 ((v90(constB196, bitIndex1) | (~v100(constB196)) | (~v129(constB196, bitIndex1))) <=> (v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1)) | (~v100(constB196)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32142,plain,
% 40.82/27.26 (((~![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))))),
% 40.82/27.26 inference(monotonicity,[status(thm)],[32141])).
% 40.82/27.26 tff(32143,plain,
% 40.82/27.26 (((~![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)))),
% 40.82/27.26 inference(transitivity,[status(thm)],[32142, 32140])).
% 40.82/27.26 tff(32144,plain,
% 40.82/27.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB196, bitIndex1) | (~v100(constB196)) | (~v129(constB196, bitIndex1)))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32145,plain,
% 40.82/27.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1)) | (~v100(constB196))),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32144, 32143])).
% 40.82/27.26 tff(32146,plain,
% 40.82/27.26 ((~v129(constB196, bitIndex1)) | (~v100(constB196))),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32145, 912, 31880])).
% 40.82/27.26 tff(32147,plain,
% 40.82/27.26 (~v129(constB196, bitIndex1)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32146, 32091])).
% 40.82/27.26 tff(32148,plain,
% 40.82/27.26 (((~![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))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32149,plain,
% 40.82/27.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB195, constB196)) | (~v127(constB195, bitIndex1)) | v129(constB196, bitIndex1))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32150,plain,
% 40.82/27.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB195, constB196)) | (~v127(constB195, bitIndex1)) | v129(constB196, bitIndex1)),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32149, 32148])).
% 40.82/27.26 tff(32151,plain,
% 40.82/27.26 ((~v127(constB195, bitIndex1)) | v129(constB196, bitIndex1)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32150, 897, 26721])).
% 40.82/27.26 tff(32152,plain,
% 40.82/27.26 (~v127(constB195, bitIndex1)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32151, 32147])).
% 40.82/27.26 tff(32153,plain,
% 40.82/27.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB195) | (~v130(constB195, bitIndex1)) | v127(constB195, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB195) | (~v130(constB195, bitIndex1)) | v127(constB195, bitIndex1))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32154,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB195) | (~v130(constB195, bitIndex1)) | v127(constB195, bitIndex1))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32155,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB195) | (~v130(constB195, bitIndex1)) | v127(constB195, bitIndex1)),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32154, 32153])).
% 40.82/27.26 tff(32156,plain,
% 40.82/27.26 ((~v130(constB195, bitIndex1)) | v127(constB195, bitIndex1)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32155, 882, 31742])).
% 40.82/27.26 tff(32157,plain,
% 40.82/27.26 (~v130(constB195, bitIndex1)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32156, 32152])).
% 40.82/27.26 tff(32158,plain,
% 40.82/27.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB195)) | v130(constB195, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB195)) | v130(constB195, bitIndex1))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32159,plain,
% 40.82/27.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB195)) | v130(constB195, bitIndex1))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32160,plain,
% 40.82/27.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB195)) | v130(constB195, bitIndex1)),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32159, 32158])).
% 40.82/27.26 tff(32161,plain,
% 40.82/27.26 (~v120(constB195)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32160, 868, 32157])).
% 40.82/27.26 tff(32162,plain,
% 40.82/27.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB195, bitIndex1) | (~v121(constB195)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB195, bitIndex1) | (~v121(constB195)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32163,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB195, bitIndex1) | (~v121(constB195)))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32164,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB195, bitIndex1) | (~v121(constB195))),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32163, 32162])).
% 40.82/27.26 tff(32165,plain,
% 40.82/27.26 (~v121(constB195)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32164, 8308, 31812])).
% 40.82/27.26 tff(32166,plain,
% 40.82/27.26 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v122(VarCurr))))),
% 40.82/27.26 inference(bind,[status(th)],[])).
% 40.82/27.26 tff(32167,plain,
% 40.82/27.26 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 40.82/27.26 inference(quant_intro,[status(thm)],[32166])).
% 40.82/27.26 tff(32168,plain,
% 40.82/27.26 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32169,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 40.82/27.26 tff(32170,plain,
% 40.82/27.26 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32169, 32168])).
% 40.82/27.26 tff(32171,plain,(
% 40.82/27.26 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 40.82/27.26 inference(skolemize,[status(sab)],[32170])).
% 40.82/27.26 tff(32172,plain,
% 40.82/27.26 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32171, 32167])).
% 40.82/27.26 tff(32173,plain,
% 40.82/27.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB195, bitIndex1) | (~v122(constB195)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB195, bitIndex1) | (~v122(constB195)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32174,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB195, bitIndex1) | (~v122(constB195)))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32175,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB195, bitIndex1) | (~v122(constB195))),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32174, 32173])).
% 40.82/27.26 tff(32176,plain,
% 40.82/27.26 (~v122(constB195)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32175, 32172, 31812])).
% 40.82/27.26 tff(32177,plain,
% 40.82/27.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB195, bitIndex0) | v124(constB195) | v123(constB195) | v122(constB195) | v120(constB195) | v119(constB195) | v121(constB195))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB195, bitIndex0) | v124(constB195) | v123(constB195) | v122(constB195) | v120(constB195) | v119(constB195) | v121(constB195))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32178,plain,
% 40.82/27.26 ((v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | v130(constB195, bitIndex0)) <=> (v130(constB195, bitIndex0) | v124(constB195) | v123(constB195) | v122(constB195) | v120(constB195) | v119(constB195) | v121(constB195))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32179,plain,
% 40.82/27.26 (((~![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) | v123(constB195) | v122(constB195) | v120(constB195) | v119(constB195) | v121(constB195)))),
% 40.82/27.26 inference(monotonicity,[status(thm)],[32178])).
% 40.82/27.26 tff(32180,plain,
% 40.82/27.26 (((~![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) | v123(constB195) | v122(constB195) | v120(constB195) | v119(constB195) | v121(constB195))),
% 40.82/27.26 inference(transitivity,[status(thm)],[32179, 32177])).
% 40.82/27.26 tff(32181,plain,
% 40.82/27.26 ((~![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))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32182,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB195, bitIndex0) | v124(constB195) | v123(constB195) | v122(constB195) | v120(constB195) | v119(constB195) | v121(constB195)),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32181, 32180])).
% 40.82/27.26 tff(32183,plain,
% 40.82/27.26 (v130(constB195, bitIndex0) | v124(constB195) | v123(constB195) | v120(constB195) | v119(constB195)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32182, 2753, 32176, 32165])).
% 40.82/27.26 tff(32184,plain,
% 40.82/27.26 ($false),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32183, 32161, 32139, 32135, 32117, 32113])).
% 40.82/27.26 tff(32185,plain,(v90(constB196, bitIndex1) | v90(constB196, bitIndex0) | v90(constB195, bitIndex1) | v90(constB197, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 40.82/27.26 tff(32186,plain,
% 40.82/27.26 (v90(constB196, bitIndex0)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32185, 31829, 31812, 31869])).
% 40.82/27.26 tff(32187,plain,
% 40.82/27.26 (((~![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)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32188,plain,
% 40.82/27.26 (((~nextState(constB195, constB196)) | v90(constB195, bitIndex0) | v100(constB196) | (~v90(constB196, bitIndex0))) <=> (v90(constB195, bitIndex0) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex0)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32189,plain,
% 40.82/27.26 (((~![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))))),
% 40.82/27.26 inference(monotonicity,[status(thm)],[32188])).
% 40.82/27.26 tff(32190,plain,
% 40.82/27.26 (((~![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)))),
% 40.82/27.26 inference(transitivity,[status(thm)],[32189, 32187])).
% 40.82/27.26 tff(32191,plain,
% 40.82/27.26 ((~![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)))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32192,plain,
% 40.82/27.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB195, bitIndex0) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex0))),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32191, 32190])).
% 40.82/27.26 tff(32193,plain,
% 40.82/27.26 (v90(constB195, bitIndex0) | v100(constB196) | (~v90(constB196, bitIndex0))),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32192, 207, 26721])).
% 40.82/27.26 tff(32194,plain,
% 40.82/27.26 (v90(constB195, bitIndex0)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32193, 32186, 31756])).
% 40.82/27.26 tff(32195,plain,
% 40.82/27.26 ((~v90(constB195, bitIndex0)) | v90(constB195, bitIndex2) | v120(constB195)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[31733, 668, 31812])).
% 40.82/27.26 tff(32196,plain,
% 40.82/27.26 ($false),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32195, 32194, 31861, 31828])).
% 40.82/27.26 tff(32197,plain,(v90(constB197, bitIndex2) | v90(constB195, bitIndex1) | v100(constB196)), inference(lemma,lemma(discharge,[]))).
% 40.82/27.26 tff(32198,plain,
% 40.82/27.26 (v90(constB197, bitIndex2)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32197, 31756, 31812])).
% 40.82/27.26 tff(32199,plain,
% 40.82/27.26 (((~![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)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32200,plain,
% 40.82/27.26 (((~nextState(constB196, constB197)) | v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2))) <=> (v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32201,plain,
% 40.82/27.26 (((~![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))))),
% 40.82/27.26 inference(monotonicity,[status(thm)],[32200])).
% 40.82/27.26 tff(32202,plain,
% 40.82/27.26 (((~![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)))),
% 40.82/27.26 inference(transitivity,[status(thm)],[32201, 32199])).
% 40.82/27.26 tff(32203,plain,
% 40.82/27.26 ((~![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)))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32204,plain,
% 40.82/27.26 ((~![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))),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32203, 32202])).
% 40.82/27.26 tff(32205,plain,
% 40.82/27.26 (v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2))),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32204, 165, 26776])).
% 40.82/27.26 tff(32206,plain,
% 40.82/27.26 (v90(constB196, bitIndex2) | (~v90(constB197, bitIndex2))),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32205, 31844])).
% 40.82/27.26 tff(32207,plain,
% 40.82/27.26 (v90(constB196, bitIndex2)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32206, 32198])).
% 40.82/27.26 tff(32208,plain,
% 40.82/27.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB195, bitIndex2) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB195, bitIndex2) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex2)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32209,plain,
% 40.82/27.26 (((~nextState(constB195, constB196)) | v90(constB195, bitIndex2) | v100(constB196) | (~v90(constB196, bitIndex2))) <=> (v90(constB195, bitIndex2) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex2)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32210,plain,
% 40.82/27.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB195, constB196)) | v90(constB195, bitIndex2) | v100(constB196) | (~v90(constB196, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB195, bitIndex2) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex2))))),
% 40.82/27.26 inference(monotonicity,[status(thm)],[32209])).
% 40.82/27.26 tff(32211,plain,
% 40.82/27.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB195, constB196)) | v90(constB195, bitIndex2) | v100(constB196) | (~v90(constB196, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB195, bitIndex2) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex2)))),
% 40.82/27.26 inference(transitivity,[status(thm)],[32210, 32208])).
% 40.82/27.26 tff(32212,plain,
% 40.82/27.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB195, constB196)) | v90(constB195, bitIndex2) | v100(constB196) | (~v90(constB196, bitIndex2)))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32213,plain,
% 40.82/27.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB195, bitIndex2) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex2))),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32212, 32211])).
% 40.82/27.26 tff(32214,plain,
% 40.82/27.26 (v90(constB195, bitIndex2) | v100(constB196) | (~v90(constB196, bitIndex2))),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32213, 165, 26721])).
% 40.82/27.26 tff(32215,plain,
% 40.82/27.26 (v90(constB195, bitIndex2)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32214, 32207, 31756])).
% 40.82/27.26 tff(32216,plain,
% 40.82/27.26 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB195) | (~v124(constB195)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB195) | (~v124(constB195)))),
% 40.82/27.26 inference(rewrite,[status(thm)],[])).
% 40.82/27.26 tff(32217,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB195) | (~v124(constB195)))),
% 40.82/27.26 inference(quant_inst,[status(thm)],[])).
% 40.82/27.26 tff(32218,plain,
% 40.82/27.26 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB195) | (~v124(constB195))),
% 40.82/27.26 inference(modus_ponens,[status(thm)],[32217, 32216])).
% 40.82/27.26 tff(32219,plain,
% 40.82/27.26 (~v124(constB195)),
% 40.82/27.26 inference(unit_resolution,[status(thm)],[32218, 1236, 31803])).
% 40.82/27.26 tff(32220,plain,
% 40.82/27.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | v124(constB195))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | v124(constB195))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32221,plain,
% 40.82/27.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | v124(constB195))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32222,plain,
% 40.82/27.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | v124(constB195)),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32221, 32220])).
% 40.82/27.27 tff(32223,plain,
% 40.82/27.27 ((~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex2)) | v124(constB195)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32222, 1264, 31812])).
% 40.82/27.27 tff(32224,plain,
% 40.82/27.27 (~v90(constB195, bitIndex0)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32223, 32215, 32219])).
% 40.82/27.27 tff(32225,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | v123(constB195))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | v123(constB195))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32226,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | v123(constB195))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32227,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | v123(constB195)),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32226, 32225])).
% 40.82/27.27 tff(32228,plain,
% 40.82/27.27 (v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2)) | v123(constB195)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32227, 1280, 31812])).
% 40.82/27.27 tff(32229,plain,
% 40.82/27.27 ($false),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32228, 32224, 32215, 31811])).
% 40.82/27.27 tff(32230,plain,(v100(constB196) | v90(constB195, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 40.82/27.27 tff(32231,plain,
% 40.82/27.27 (v100(constB196)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32230, 26582])).
% 40.82/27.27 tff(32232,plain,
% 40.82/27.27 (((~![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)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32233,plain,
% 40.82/27.27 (((~v90(constB196, bitIndex2)) | (~v100(constB196)) | v129(constB196, bitIndex2)) <=> ((~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32234,plain,
% 40.82/27.27 (((~![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))))),
% 40.82/27.27 inference(monotonicity,[status(thm)],[32233])).
% 40.82/27.27 tff(32235,plain,
% 40.82/27.27 (((~![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)))),
% 40.82/27.27 inference(transitivity,[status(thm)],[32234, 32232])).
% 40.82/27.27 tff(32236,plain,
% 40.82/27.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB196, bitIndex2)) | (~v100(constB196)) | v129(constB196, bitIndex2))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32237,plain,
% 40.82/27.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32236, 32235])).
% 40.82/27.27 tff(32238,plain,
% 40.82/27.27 ((~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32237, 468, 32231])).
% 40.82/27.27 tff(32239,plain,
% 40.82/27.27 (~v90(constB196, bitIndex2)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32238, 31755])).
% 40.82/27.27 tff(32240,plain,
% 40.82/27.27 (~v90(constB197, bitIndex2)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32206, 32239])).
% 40.82/27.27 tff(32241,plain,
% 40.82/27.27 (((~![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)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32242,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB197, bitIndex2) | (~v88(constB197, bitIndex2)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32243,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB197, bitIndex2) | (~v88(constB197, bitIndex2))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32242, 32241])).
% 40.82/27.27 tff(32244,plain,
% 40.82/27.27 (~v88(constB197, bitIndex2)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32243, 22090, 32240])).
% 40.82/27.27 tff(32245,plain,
% 40.82/27.27 (v130(constB195, bitIndex1)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32160, 868, 31734])).
% 40.82/27.27 tff(32246,plain,
% 40.82/27.27 (v127(constB195, bitIndex1)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32156, 32245])).
% 40.82/27.27 tff(32247,plain,
% 40.82/27.27 (v129(constB196, bitIndex1)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32151, 32246])).
% 40.82/27.27 tff(32248,plain,
% 40.82/27.27 (v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1))),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32145, 912, 32231])).
% 40.82/27.27 tff(32249,plain,
% 40.82/27.27 (v90(constB196, bitIndex1)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32248, 32247])).
% 40.82/27.27 tff(32250,plain,
% 40.82/27.27 (((~![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))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32251,plain,
% 40.82/27.27 (((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex1)) | v100(constB197) | v90(constB197, bitIndex1)) <=> ((~v90(constB196, bitIndex1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex1))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32252,plain,
% 40.82/27.27 (((~![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)))),
% 40.82/27.27 inference(monotonicity,[status(thm)],[32251])).
% 40.82/27.27 tff(32253,plain,
% 40.82/27.27 (((~![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))),
% 40.82/27.27 inference(transitivity,[status(thm)],[32252, 32250])).
% 40.82/27.27 tff(32254,plain,
% 40.82/27.27 ((~![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))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32255,plain,
% 40.82/27.27 ((~![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)),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32254, 32253])).
% 40.82/27.27 tff(32256,plain,
% 40.82/27.27 ((~v90(constB196, bitIndex1)) | v100(constB197) | v90(constB197, bitIndex1)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32255, 1049, 26776])).
% 40.82/27.27 tff(32257,plain,
% 40.82/27.27 ((~v90(constB196, bitIndex1)) | v90(constB197, bitIndex1)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32256, 31844])).
% 40.82/27.27 tff(32258,plain,
% 40.82/27.27 (v90(constB197, bitIndex1)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32257, 32249])).
% 40.82/27.27 tff(32259,plain,
% 40.82/27.27 (((~![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))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32260,plain,
% 40.82/27.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB197, bitIndex1)) | v88(constB197, bitIndex1))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32261,plain,
% 40.82/27.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB197, bitIndex1)) | v88(constB197, bitIndex1)),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32260, 32259])).
% 40.82/27.27 tff(32262,plain,
% 40.82/27.27 (v88(constB197, bitIndex1)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32261, 21131, 32258])).
% 40.82/27.27 tff(32263,plain,
% 40.82/27.27 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB195)) | (~v130(constB195, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB195)) | (~v130(constB195, bitIndex0)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32264,plain,
% 40.82/27.27 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB195)) | (~v130(constB195, bitIndex0)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32265,plain,
% 40.82/27.27 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB195)) | (~v130(constB195, bitIndex0))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32264, 32263])).
% 40.82/27.27 tff(32266,plain,
% 40.82/27.27 (~v130(constB195, bitIndex0)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32265, 930, 31734])).
% 40.82/27.27 tff(32267,plain,
% 40.82/27.27 (((~![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))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32268,plain,
% 40.82/27.27 ((v26(constB195) | v130(constB195, bitIndex0) | (~v127(constB195, bitIndex0))) <=> ((~v127(constB195, bitIndex0)) | v26(constB195) | v130(constB195, bitIndex0))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32269,plain,
% 40.82/27.27 (((~![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)))),
% 40.82/27.27 inference(monotonicity,[status(thm)],[32268])).
% 40.82/27.27 tff(32270,plain,
% 40.82/27.27 (((~![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))),
% 40.82/27.27 inference(transitivity,[status(thm)],[32269, 32267])).
% 40.82/27.27 tff(32271,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB195) | v130(constB195, bitIndex0) | (~v127(constB195, bitIndex0)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32272,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB195, bitIndex0)) | v26(constB195) | v130(constB195, bitIndex0)),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32271, 32270])).
% 40.82/27.27 tff(32273,plain,
% 40.82/27.27 ((~v127(constB195, bitIndex0)) | v130(constB195, bitIndex0)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32272, 944, 31742])).
% 40.82/27.27 tff(32274,plain,
% 40.82/27.27 (~v127(constB195, bitIndex0)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32273, 32266])).
% 40.82/27.27 tff(32275,plain,
% 40.82/27.27 (((~![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)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32276,plain,
% 40.82/27.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32277,plain,
% 40.82/27.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32276, 32275])).
% 40.82/27.27 tff(32278,plain,
% 40.82/27.27 (v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0))),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32277, 962, 26721])).
% 40.82/27.27 tff(32279,plain,
% 40.82/27.27 (~v129(constB196, bitIndex0)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32278, 32274])).
% 40.82/27.27 tff(32280,plain,
% 40.82/27.27 (((~![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)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32281,plain,
% 40.82/27.27 (((~v90(constB196, bitIndex0)) | (~v100(constB196)) | v129(constB196, bitIndex0)) <=> ((~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0) | (~v100(constB196)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32282,plain,
% 40.82/27.27 (((~![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))))),
% 40.82/27.27 inference(monotonicity,[status(thm)],[32281])).
% 40.82/27.27 tff(32283,plain,
% 40.82/27.27 (((~![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)))),
% 40.82/27.27 inference(transitivity,[status(thm)],[32282, 32280])).
% 40.82/27.27 tff(32284,plain,
% 40.82/27.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB196, bitIndex0)) | (~v100(constB196)) | v129(constB196, bitIndex0))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32285,plain,
% 40.82/27.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0) | (~v100(constB196))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32284, 32283])).
% 40.82/27.27 tff(32286,plain,
% 40.82/27.27 ((~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32285, 977, 32231])).
% 40.82/27.27 tff(32287,plain,
% 40.82/27.27 (~v90(constB196, bitIndex0)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32286, 32279])).
% 40.82/27.27 tff(32288,plain,
% 40.82/27.27 (~v90(constB197, bitIndex0)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[31878, 32287])).
% 40.82/27.27 tff(32289,plain,
% 40.82/27.27 (((~![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)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32290,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB197, bitIndex0) | (~v88(constB197, bitIndex0)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32291,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB197, bitIndex0) | (~v88(constB197, bitIndex0))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32290, 32289])).
% 40.82/27.27 tff(32292,plain,
% 40.82/27.27 (~v88(constB197, bitIndex0)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32291, 14645, 32288])).
% 40.82/27.27 tff(32293,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0) | v143(constB197))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0) | v143(constB197))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32294,plain,
% 40.82/27.27 ((v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0) | v143(constB197)) <=> ((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0) | v143(constB197))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32295,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0) | v143(constB197))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0) | v143(constB197)))),
% 40.82/27.27 inference(monotonicity,[status(thm)],[32294])).
% 40.82/27.27 tff(32296,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0) | v143(constB197))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0) | v143(constB197))),
% 40.82/27.27 inference(transitivity,[status(thm)],[32295, 32293])).
% 40.82/27.27 tff(32297,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0) | v143(constB197))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32298,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0) | v143(constB197)),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32297, 32296])).
% 40.82/27.27 tff(32299,plain,
% 40.82/27.27 (v143(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32298, 22766, 32292, 32262, 32244])).
% 40.82/27.27 tff(32300,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB197) | (~v143(constB197)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB197) | (~v143(constB197)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32301,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB197) | (~v143(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32302,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB197) | (~v143(constB197))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32301, 32300])).
% 40.82/27.27 tff(32303,plain,
% 40.82/27.27 (v142(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32302, 22780, 32299])).
% 40.82/27.27 tff(32304,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB197) | (~v142(constB197)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB197) | (~v142(constB197)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32305,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB197) | (~v142(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32306,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB197) | (~v142(constB197))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32305, 32304])).
% 40.82/27.27 tff(32307,plain,
% 40.82/27.27 (v166(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32306, 21170, 32303])).
% 40.82/27.27 tff(32308,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB197) | (~v166(constB197)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB197) | (~v166(constB197)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32309,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB197) | (~v166(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32310,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB197) | (~v166(constB197))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32309, 32308])).
% 40.82/27.27 tff(32311,plain,
% 40.82/27.27 (v165(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32310, 21181, 32307])).
% 40.82/27.27 tff(32312,plain,
% 40.82/27.27 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB197, bitIndex1)) | (~v140(constB197)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB197, bitIndex1)) | (~v140(constB197)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32313,plain,
% 40.82/27.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB197, bitIndex1)) | (~v140(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32314,plain,
% 40.82/27.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB197, bitIndex1)) | (~v140(constB197))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32313, 32312])).
% 40.82/27.27 tff(32315,plain,
% 40.82/27.27 (~v140(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32314, 21203, 32262])).
% 40.82/27.27 tff(32316,plain,
% 40.82/27.27 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB197, bitIndex1)) | (~v139(constB197)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB197, bitIndex1)) | (~v139(constB197)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32317,plain,
% 40.82/27.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB197, bitIndex1)) | (~v139(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32318,plain,
% 40.82/27.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB197, bitIndex1)) | (~v139(constB197))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32317, 32316])).
% 40.82/27.27 tff(32319,plain,
% 40.82/27.27 (~v139(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32318, 21192, 32262])).
% 40.82/27.27 tff(32320,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB197)) | v140(constB197) | v139(constB197))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB197)) | v140(constB197) | v139(constB197))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32321,plain,
% 40.82/27.27 ((v140(constB197) | v139(constB197) | (~v170(constB197))) <=> ((~v170(constB197)) | v140(constB197) | v139(constB197))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32322,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB197) | v139(constB197) | (~v170(constB197)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB197)) | v140(constB197) | v139(constB197)))),
% 40.82/27.27 inference(monotonicity,[status(thm)],[32321])).
% 40.82/27.27 tff(32323,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB197) | v139(constB197) | (~v170(constB197)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB197)) | v140(constB197) | v139(constB197))),
% 40.82/27.27 inference(transitivity,[status(thm)],[32322, 32320])).
% 40.82/27.27 tff(32324,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB197) | v139(constB197) | (~v170(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32325,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB197)) | v140(constB197) | v139(constB197)),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32324, 32323])).
% 40.82/27.27 tff(32326,plain,
% 40.82/27.27 (~v170(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32325, 10647, 32319, 32315])).
% 40.82/27.27 tff(32327,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB197, bitIndex0) | (~v141(constB197)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB197, bitIndex0) | (~v141(constB197)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32328,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB197, bitIndex0) | (~v141(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32329,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB197, bitIndex0) | (~v141(constB197))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32328, 32327])).
% 40.82/27.27 tff(32330,plain,
% 40.82/27.27 (~v141(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32329, 22820, 32292])).
% 40.82/27.27 tff(32331,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB197) | v170(constB197) | (~v169(constB197)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB197) | v170(constB197) | (~v169(constB197)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32332,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB197) | v170(constB197) | (~v169(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32333,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB197) | v170(constB197) | (~v169(constB197))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32332, 32331])).
% 40.82/27.27 tff(32334,plain,
% 40.82/27.27 (~v169(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32333, 11040, 32330, 32326])).
% 40.82/27.27 tff(32335,plain,
% 40.82/27.27 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB197)) | (~v165(constB197)) | v169(constB197))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB197)) | (~v165(constB197)) | v169(constB197))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32336,plain,
% 40.82/27.27 (((~v165(constB197)) | v169(constB197) | (~v162(constB197))) <=> ((~v162(constB197)) | (~v165(constB197)) | v169(constB197))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32337,plain,
% 40.82/27.27 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB197)) | v169(constB197) | (~v162(constB197)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB197)) | (~v165(constB197)) | v169(constB197)))),
% 40.82/27.27 inference(monotonicity,[status(thm)],[32336])).
% 40.82/27.27 tff(32338,plain,
% 40.82/27.27 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB197)) | v169(constB197) | (~v162(constB197)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB197)) | (~v165(constB197)) | v169(constB197))),
% 40.82/27.27 inference(transitivity,[status(thm)],[32337, 32335])).
% 40.82/27.27 tff(32339,plain,
% 40.82/27.27 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB197)) | v169(constB197) | (~v162(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32340,plain,
% 40.82/27.27 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB197)) | (~v165(constB197)) | v169(constB197)),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32339, 32338])).
% 40.82/27.27 tff(32341,plain,
% 40.82/27.27 ((~v162(constB197)) | (~v165(constB197))),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32340, 11073, 32334])).
% 40.82/27.27 tff(32342,plain,
% 40.82/27.27 (~v162(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32341, 32311])).
% 40.82/27.27 tff(32343,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB197) | (~v187(constB197)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB197) | (~v187(constB197)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32344,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB197) | (~v187(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32345,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB197) | (~v187(constB197))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32344, 32343])).
% 40.82/27.27 tff(32346,plain,
% 40.82/27.27 (~v187(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32345, 11087, 32342])).
% 40.82/27.27 tff(32347,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB197) | (~v185(constB197)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB197) | (~v185(constB197)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32348,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB197) | (~v185(constB197)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32349,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB197) | (~v185(constB197))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32348, 32347])).
% 40.82/27.27 tff(32350,plain,
% 40.82/27.27 (~v185(constB197)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32349, 11098, 32346])).
% 40.82/27.27 tff(32351,assumption,(v18(constB198)), introduced(assumption)).
% 40.82/27.27 tff(32352,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB198))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32353,plain,
% 40.82/27.27 ($false),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32352, 11110, 32351])).
% 40.82/27.27 tff(32354,plain,(~v18(constB198)), inference(lemma,lemma(discharge,[]))).
% 40.82/27.27 tff(32355,plain,
% 40.82/27.27 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198)))),
% 40.82/27.27 inference(rewrite,[status(thm)],[])).
% 40.82/27.27 tff(32356,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))),
% 40.82/27.27 inference(quant_inst,[status(thm)],[])).
% 40.82/27.27 tff(32357,plain,
% 40.82/27.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198))),
% 40.82/27.27 inference(modus_ponens,[status(thm)],[32356, 32355])).
% 40.82/27.27 tff(32358,plain,
% 40.82/27.27 (v22(constB198)),
% 40.82/27.27 inference(unit_resolution,[status(thm)],[32357, 11120, 28707])).
% 40.82/27.27 tff(32359,plain,
% 40.82/27.27 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB198)) | (~v22(constB198)) | v18(constB198))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB198)) | (~v22(constB198)) | v18(constB198))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32360,plain,
% 40.82/27.28 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB198)) | (~v22(constB198)) | v18(constB198))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32361,plain,
% 40.82/27.28 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB198)) | (~v22(constB198)) | v18(constB198)),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32360, 32359])).
% 40.82/27.28 tff(32362,plain,
% 40.82/27.28 ((~v19(constB198)) | v18(constB198)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32361, 11134, 32358])).
% 40.82/27.28 tff(32363,plain,
% 40.82/27.28 (~v19(constB198)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32362, 32354])).
% 40.82/27.28 tff(32364,plain,
% 40.82/27.28 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32365,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32366,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198)),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32365, 32364])).
% 40.82/27.28 tff(32367,plain,
% 40.82/27.28 (v13(constB198)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32366, 11149, 32363])).
% 40.82/27.28 tff(32368,plain,
% 40.82/27.28 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32369,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_197_1')).
% 40.82/27.28 tff(32370,plain,
% 40.82/27.28 (nextState(constB197, constB198)),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32369, 32368])).
% 40.82/27.28 tff(32371,plain,
% 40.82/27.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32372,plain,
% 40.82/27.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32373,plain,
% 40.82/27.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197)),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32372, 32371])).
% 40.82/27.28 tff(32374,plain,
% 40.82/27.28 ((~v13(constB198)) | v9(constB197)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32373, 11163, 32370])).
% 40.82/27.28 tff(32375,plain,
% 40.82/27.28 (v9(constB197)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32374, 32367])).
% 40.82/27.28 tff(32376,plain,
% 40.82/27.28 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v184(constB197))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB197) | (~v9(constB197)) | v184(constB197))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32377,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v184(constB197))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32378,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB197) | (~v9(constB197)) | v184(constB197)),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32377, 32376])).
% 40.82/27.28 tff(32379,plain,
% 40.82/27.28 ((~v9(constB197)) | v184(constB197)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32378, 11178, 31832])).
% 40.82/27.28 tff(32380,plain,
% 40.82/27.28 (v184(constB197)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32379, 32375])).
% 40.82/27.28 tff(32381,plain,
% 40.82/27.28 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB197) | (~v184(constB197)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB197) | (~v184(constB197)))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32382,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB197) | (~v184(constB197)))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32383,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB197) | (~v184(constB197))),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32382, 32381])).
% 40.82/27.28 tff(32384,plain,
% 40.82/27.28 (v183(constB197)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32383, 11190, 32380])).
% 40.82/27.28 tff(32385,plain,
% 40.82/27.28 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB197)) | (~v181(constB197)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB197)) | (~v181(constB197)))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32386,plain,
% 40.82/27.28 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB197)) | (~v181(constB197)))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32387,plain,
% 40.82/27.28 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB197)) | (~v181(constB197))),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32386, 32385])).
% 40.82/27.28 tff(32388,plain,
% 40.82/27.28 (~v181(constB197)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32387, 11201, 32384])).
% 40.82/27.28 tff(32389,plain,
% 40.82/27.28 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB197) | v185(constB197) | (~v178(constB197)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB197) | v185(constB197) | (~v178(constB197)))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32390,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB197) | v185(constB197) | (~v178(constB197)))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32391,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB197) | v185(constB197) | (~v178(constB197))),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32390, 32389])).
% 40.82/27.28 tff(32392,plain,
% 40.82/27.28 (v185(constB197) | (~v178(constB197))),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32391, 11215, 32388])).
% 40.82/27.28 tff(32393,plain,
% 40.82/27.28 (~v178(constB197)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32392, 32350])).
% 40.82/27.28 tff(32394,plain,
% 40.82/27.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB197, constB198)) | v178(constB197) | (~v180(constB198)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB197, constB198)) | v178(constB197) | (~v180(constB198)))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32395,plain,
% 40.82/27.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB197, constB198)) | v178(constB197) | (~v180(constB198)))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32396,plain,
% 40.82/27.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB197, constB198)) | v178(constB197) | (~v180(constB198))),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32395, 32394])).
% 40.82/27.28 tff(32397,plain,
% 40.82/27.28 (v178(constB197) | (~v180(constB198))),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32396, 11230, 32370])).
% 40.82/27.28 tff(32398,plain,
% 40.82/27.28 (~v180(constB198)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32397, 32393])).
% 40.82/27.28 tff(32399,plain,
% 40.82/27.28 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB198) | (~v181(constB198)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB198) | (~v181(constB198)))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32400,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB198) | (~v181(constB198)))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32401,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB198) | (~v181(constB198))),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32400, 32399])).
% 40.82/27.28 tff(32402,plain,
% 40.82/27.28 (~v181(constB198)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32401, 11242, 32398])).
% 40.82/27.28 tff(32403,plain,
% 40.82/27.28 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB198)) | (~v184(constB198)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB198)) | (~v184(constB198)))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32404,plain,
% 40.82/27.28 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB198)) | (~v184(constB198)))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32405,plain,
% 40.82/27.28 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB198)) | (~v184(constB198))),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32404, 32403])).
% 40.82/27.28 tff(32406,plain,
% 40.82/27.28 (~v184(constB198)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32405, 11253, 28707])).
% 40.82/27.28 tff(32407,plain,
% 40.82/27.28 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB198) | (~v187(constB198)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB198) | (~v187(constB198)))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32408,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB198) | (~v187(constB198)))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32409,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB198) | (~v187(constB198))),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32408, 32407])).
% 40.82/27.28 tff(32410,plain,
% 40.82/27.28 (~v187(constB198)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32409, 11264, 32406])).
% 40.82/27.28 tff(32411,plain,
% 40.82/27.28 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB198) | (~v185(constB198)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB198) | (~v185(constB198)))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32412,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB198) | (~v185(constB198)))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32413,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB198) | (~v185(constB198))),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32412, 32411])).
% 40.82/27.28 tff(32414,plain,
% 40.82/27.28 (~v185(constB198)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32413, 11098, 32410])).
% 40.82/27.28 tff(32415,plain,
% 40.82/27.28 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB198) | v185(constB198) | (~v178(constB198)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB198) | v185(constB198) | (~v178(constB198)))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32416,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB198) | v185(constB198) | (~v178(constB198)))),
% 40.82/27.28 inference(quant_inst,[status(thm)],[])).
% 40.82/27.28 tff(32417,plain,
% 40.82/27.28 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB198) | v185(constB198) | (~v178(constB198))),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32416, 32415])).
% 40.82/27.28 tff(32418,plain,
% 40.82/27.28 (v181(constB198) | (~v178(constB198))),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32417, 11215, 32414])).
% 40.82/27.28 tff(32419,plain,
% 40.82/27.28 (~v178(constB198)),
% 40.82/27.28 inference(unit_resolution,[status(thm)],[32418, 32402])).
% 40.82/27.28 tff(32420,plain,
% 40.82/27.28 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32421,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_198_1')).
% 40.82/27.28 tff(32422,plain,
% 40.82/27.28 (nextState(constB198, constB199)),
% 40.82/27.28 inference(modus_ponens,[status(thm)],[32421, 32420])).
% 40.82/27.28 tff(32423,plain,
% 40.82/27.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB198, constB199)) | v178(constB198) | (~v180(constB199)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB198, constB199)) | v178(constB198) | (~v180(constB199)))),
% 40.82/27.28 inference(rewrite,[status(thm)],[])).
% 40.82/27.28 tff(32424,plain,
% 40.82/27.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB198, constB199)) | v178(constB198) | (~v180(constB199)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32425,plain,
% 40.84/27.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB198, constB199)) | v178(constB198) | (~v180(constB199))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32424, 32423])).
% 40.84/27.28 tff(32426,plain,
% 40.84/27.28 (v178(constB198) | (~v180(constB199))),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32425, 11230, 32422])).
% 40.84/27.28 tff(32427,plain,
% 40.84/27.28 (~v180(constB199)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32426, 32419])).
% 40.84/27.28 tff(32428,assumption,(constB199 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.28 tff(32429,plain,
% 40.84/27.28 (v180(constB199) <=> v180(sK0_VarCurr)),
% 40.84/27.28 inference(monotonicity,[status(thm)],[32428])).
% 40.84/27.28 tff(32430,plain,
% 40.84/27.28 (v180(sK0_VarCurr) <=> v180(constB199)),
% 40.84/27.28 inference(symmetry,[status(thm)],[32429])).
% 40.84/27.28 tff(32431,plain,
% 40.84/27.28 (v180(constB199)),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[11002, 32430])).
% 40.84/27.28 tff(32432,assumption,(~v180(constB199)), introduced(assumption)).
% 40.84/27.28 tff(32433,plain,
% 40.84/27.28 ($false),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32432, 32431])).
% 40.84/27.28 tff(32434,plain,((~(constB199 = sK0_VarCurr)) | v180(constB199) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.84/27.28 tff(32435,plain,
% 40.84/27.28 ((~(constB199 = sK0_VarCurr)) | (~v180(sK0_VarCurr))),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32434, 32427])).
% 40.84/27.28 tff(32436,plain,
% 40.84/27.28 (~(constB199 = sK0_VarCurr)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32435, 10998])).
% 40.84/27.28 tff(32437,assumption,(constB162 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.28 tff(32438,plain,
% 40.84/27.28 (v1(constB162) <=> v1(sK0_VarCurr)),
% 40.84/27.28 inference(monotonicity,[status(thm)],[32437])).
% 40.84/27.28 tff(32439,plain,
% 40.84/27.28 (v1(sK0_VarCurr) <=> v1(constB162)),
% 40.84/27.28 inference(symmetry,[status(thm)],[32438])).
% 40.84/27.28 tff(32440,plain,
% 40.84/27.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB162))),
% 40.84/27.28 inference(monotonicity,[status(thm)],[32439])).
% 40.84/27.28 tff(32441,plain,
% 40.84/27.28 (~v1(constB162)),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[21332, 32440])).
% 40.84/27.28 tff(32442,plain,
% 40.84/27.28 ($false),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[20694, 32441])).
% 40.84/27.28 tff(32443,plain,((~(constB162 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.84/27.28 tff(32444,plain,
% 40.84/27.28 (~(constB162 = sK0_VarCurr)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32443, 21327])).
% 40.84/27.28 tff(32445,plain,
% 40.84/27.28 (((~![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)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32446,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB137, bitIndex2) | (~v88(constB137, bitIndex2)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32447,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB137, bitIndex2) | (~v88(constB137, bitIndex2))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32446, 32445])).
% 40.84/27.28 tff(32448,plain,
% 40.84/27.28 (~v88(constB137, bitIndex2)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32447, 22090, 18070])).
% 40.84/27.28 tff(32449,plain,
% 40.84/27.28 (((~![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)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32450,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB137, bitIndex0) | (~v88(constB137, bitIndex0)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32451,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB137, bitIndex0) | (~v88(constB137, bitIndex0))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32450, 32449])).
% 40.84/27.28 tff(32452,plain,
% 40.84/27.28 (~v88(constB137, bitIndex0)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32451, 14645, 18135])).
% 40.84/27.28 tff(32453,plain,
% 40.84/27.28 (((~![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))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32454,plain,
% 40.84/27.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB137, bitIndex1)) | v88(constB137, bitIndex1))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32455,plain,
% 40.84/27.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB137, bitIndex1)) | v88(constB137, bitIndex1)),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32454, 32453])).
% 40.84/27.28 tff(32456,plain,
% 40.84/27.28 (v88(constB137, bitIndex1)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32455, 21131, 18101])).
% 40.84/27.28 tff(32457,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | v143(constB137) | (~v88(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | v143(constB137) | (~v88(constB137, bitIndex1)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32458,plain,
% 40.84/27.28 ((v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137)) <=> (v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | v143(constB137) | (~v88(constB137, bitIndex1)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32459,plain,
% 40.84/27.28 (((~![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, bitIndex0) | v88(constB137, bitIndex2) | v143(constB137) | (~v88(constB137, bitIndex1))))),
% 40.84/27.28 inference(monotonicity,[status(thm)],[32458])).
% 40.84/27.28 tff(32460,plain,
% 40.84/27.28 (((~![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, bitIndex0) | v88(constB137, bitIndex2) | v143(constB137) | (~v88(constB137, bitIndex1)))),
% 40.84/27.28 inference(transitivity,[status(thm)],[32459, 32457])).
% 40.84/27.28 tff(32461,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32462,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | v143(constB137) | (~v88(constB137, bitIndex1))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32461, 32460])).
% 40.84/27.28 tff(32463,plain,
% 40.84/27.28 (v143(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32462, 22766, 32456, 32452, 32448])).
% 40.84/27.28 tff(32464,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB137) | (~v143(constB137)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB137) | (~v143(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32465,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB137) | (~v143(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32466,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB137) | (~v143(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32465, 32464])).
% 40.84/27.28 tff(32467,plain,
% 40.84/27.28 (v142(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32466, 22780, 32463])).
% 40.84/27.28 tff(32468,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB137) | (~v142(constB137)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB137) | (~v142(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32469,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB137) | (~v142(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32470,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB137) | (~v142(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32469, 32468])).
% 40.84/27.28 tff(32471,plain,
% 40.84/27.28 (v166(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32470, 21170, 32467])).
% 40.84/27.28 tff(32472,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB137) | (~v166(constB137)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB137) | (~v166(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32473,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB137) | (~v166(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32474,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB137) | (~v166(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32473, 32472])).
% 40.84/27.28 tff(32475,plain,
% 40.84/27.28 (v165(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32474, 21181, 32471])).
% 40.84/27.28 tff(32476,plain,
% 40.84/27.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB137)) | (~v88(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB137)) | (~v88(constB137, bitIndex1)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32477,plain,
% 40.84/27.28 (((~v88(constB137, bitIndex1)) | (~v139(constB137))) <=> ((~v139(constB137)) | (~v88(constB137, bitIndex1)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32478,plain,
% 40.84/27.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB137, bitIndex1)) | (~v139(constB137)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB137)) | (~v88(constB137, bitIndex1))))),
% 40.84/27.28 inference(monotonicity,[status(thm)],[32477])).
% 40.84/27.28 tff(32479,plain,
% 40.84/27.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB137, bitIndex1)) | (~v139(constB137)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB137)) | (~v88(constB137, bitIndex1)))),
% 40.84/27.28 inference(transitivity,[status(thm)],[32478, 32476])).
% 40.84/27.28 tff(32480,plain,
% 40.84/27.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB137, bitIndex1)) | (~v139(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32481,plain,
% 40.84/27.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB137)) | (~v88(constB137, bitIndex1))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32480, 32479])).
% 40.84/27.28 tff(32482,plain,
% 40.84/27.28 (~v139(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32481, 21192, 32456])).
% 40.84/27.28 tff(32483,plain,
% 40.84/27.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB137, bitIndex1)) | (~v140(constB137)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB137, bitIndex1)) | (~v140(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32484,plain,
% 40.84/27.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB137, bitIndex1)) | (~v140(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32485,plain,
% 40.84/27.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB137, bitIndex1)) | (~v140(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32484, 32483])).
% 40.84/27.28 tff(32486,plain,
% 40.84/27.28 (~v140(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32485, 21203, 32456])).
% 40.84/27.28 tff(32487,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v170(constB137)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB137) | v140(constB137) | (~v170(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32488,plain,
% 40.84/27.28 ((v140(constB137) | v139(constB137) | (~v170(constB137))) <=> (v139(constB137) | v140(constB137) | (~v170(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32489,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB137) | v139(constB137) | (~v170(constB137)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v170(constB137))))),
% 40.84/27.28 inference(monotonicity,[status(thm)],[32488])).
% 40.84/27.28 tff(32490,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB137) | v139(constB137) | (~v170(constB137)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB137) | v140(constB137) | (~v170(constB137)))),
% 40.84/27.28 inference(transitivity,[status(thm)],[32489, 32487])).
% 40.84/27.28 tff(32491,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB137) | v139(constB137) | (~v170(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32492,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB137) | v140(constB137) | (~v170(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32491, 32490])).
% 40.84/27.28 tff(32493,plain,
% 40.84/27.28 (~v170(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32492, 10647, 32486, 32482])).
% 40.84/27.28 tff(32494,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB137, bitIndex0) | (~v141(constB137)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB137, bitIndex0) | (~v141(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32495,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB137, bitIndex0) | (~v141(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32496,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB137, bitIndex0) | (~v141(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32495, 32494])).
% 40.84/27.28 tff(32497,plain,
% 40.84/27.28 (~v141(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32496, 22820, 32452])).
% 40.84/27.28 tff(32498,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB137) | v170(constB137) | (~v169(constB137)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB137) | v170(constB137) | (~v169(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32499,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB137) | v170(constB137) | (~v169(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32500,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB137) | v170(constB137) | (~v169(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32499, 32498])).
% 40.84/27.28 tff(32501,plain,
% 40.84/27.28 (~v169(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32500, 11040, 32497, 32493])).
% 40.84/27.28 tff(32502,plain,
% 40.84/27.28 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB137)) | (~v165(constB137)) | v169(constB137))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB137)) | (~v165(constB137)) | v169(constB137))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32503,plain,
% 40.84/27.28 (((~v165(constB137)) | v169(constB137) | (~v162(constB137))) <=> ((~v162(constB137)) | (~v165(constB137)) | v169(constB137))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32504,plain,
% 40.84/27.28 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB137)) | v169(constB137) | (~v162(constB137)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB137)) | (~v165(constB137)) | v169(constB137)))),
% 40.84/27.28 inference(monotonicity,[status(thm)],[32503])).
% 40.84/27.28 tff(32505,plain,
% 40.84/27.28 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB137)) | v169(constB137) | (~v162(constB137)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB137)) | (~v165(constB137)) | v169(constB137))),
% 40.84/27.28 inference(transitivity,[status(thm)],[32504, 32502])).
% 40.84/27.28 tff(32506,plain,
% 40.84/27.28 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB137)) | v169(constB137) | (~v162(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32507,plain,
% 40.84/27.28 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB137)) | (~v165(constB137)) | v169(constB137)),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32506, 32505])).
% 40.84/27.28 tff(32508,plain,
% 40.84/27.28 ((~v162(constB137)) | (~v165(constB137))),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32507, 11073, 32501])).
% 40.84/27.28 tff(32509,plain,
% 40.84/27.28 (~v162(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32508, 32475])).
% 40.84/27.28 tff(32510,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB137) | (~v187(constB137)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB137) | (~v187(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32511,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB137) | (~v187(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32512,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB137) | (~v187(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32511, 32510])).
% 40.84/27.28 tff(32513,plain,
% 40.84/27.28 (~v187(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32512, 11087, 32509])).
% 40.84/27.28 tff(32514,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB137) | (~v185(constB137)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB137) | (~v185(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32515,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB137) | (~v185(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32516,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB137) | (~v185(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32515, 32514])).
% 40.84/27.28 tff(32517,plain,
% 40.84/27.28 (~v185(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32516, 11098, 32513])).
% 40.84/27.28 tff(32518,assumption,(v18(constB138)), introduced(assumption)).
% 40.84/27.28 tff(32519,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB138))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32520,plain,
% 40.84/27.28 ($false),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32519, 11110, 32518])).
% 40.84/27.28 tff(32521,plain,(~v18(constB138)), inference(lemma,lemma(discharge,[]))).
% 40.84/27.28 tff(32522,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32523,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32524,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32523, 32522])).
% 40.84/27.28 tff(32525,plain,
% 40.84/27.28 (v22(constB138)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32524, 11120, 18203])).
% 40.84/27.28 tff(32526,plain,
% 40.84/27.28 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB138)) | (~v22(constB138)) | v18(constB138))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB138)) | (~v22(constB138)) | v18(constB138))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32527,plain,
% 40.84/27.28 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB138)) | (~v22(constB138)) | v18(constB138))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32528,plain,
% 40.84/27.28 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB138)) | (~v22(constB138)) | v18(constB138)),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32527, 32526])).
% 40.84/27.28 tff(32529,plain,
% 40.84/27.28 ((~v19(constB138)) | v18(constB138)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32528, 11134, 32525])).
% 40.84/27.28 tff(32530,plain,
% 40.84/27.28 (~v19(constB138)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32529, 32521])).
% 40.84/27.28 tff(32531,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32532,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32533,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138)),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32532, 32531])).
% 40.84/27.28 tff(32534,plain,
% 40.84/27.28 (v13(constB138)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32533, 11149, 32530])).
% 40.84/27.28 tff(32535,plain,
% 40.84/27.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32536,plain,
% 40.84/27.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32537,plain,
% 40.84/27.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137)),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32536, 32535])).
% 40.84/27.28 tff(32538,plain,
% 40.84/27.28 ((~v13(constB138)) | v9(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32537, 11163, 18183])).
% 40.84/27.28 tff(32539,plain,
% 40.84/27.28 (v9(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32538, 32534])).
% 40.84/27.28 tff(32540,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v184(constB137))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB137) | (~v9(constB137)) | v184(constB137))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32541,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v184(constB137))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32542,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB137) | (~v9(constB137)) | v184(constB137)),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32541, 32540])).
% 40.84/27.28 tff(32543,plain,
% 40.84/27.28 ((~v9(constB137)) | v184(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32542, 11178, 18046])).
% 40.84/27.28 tff(32544,plain,
% 40.84/27.28 (v184(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32543, 32539])).
% 40.84/27.28 tff(32545,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB137) | (~v184(constB137)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB137) | (~v184(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32546,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB137) | (~v184(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32547,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB137) | (~v184(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32546, 32545])).
% 40.84/27.28 tff(32548,plain,
% 40.84/27.28 (v183(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32547, 11190, 32544])).
% 40.84/27.28 tff(32549,plain,
% 40.84/27.28 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB137)) | (~v183(constB137)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB137)) | (~v183(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32550,plain,
% 40.84/27.28 (((~v183(constB137)) | (~v181(constB137))) <=> ((~v181(constB137)) | (~v183(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32551,plain,
% 40.84/27.28 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB137)) | (~v181(constB137)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB137)) | (~v183(constB137))))),
% 40.84/27.28 inference(monotonicity,[status(thm)],[32550])).
% 40.84/27.28 tff(32552,plain,
% 40.84/27.28 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB137)) | (~v181(constB137)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB137)) | (~v183(constB137)))),
% 40.84/27.28 inference(transitivity,[status(thm)],[32551, 32549])).
% 40.84/27.28 tff(32553,plain,
% 40.84/27.28 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB137)) | (~v181(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32554,plain,
% 40.84/27.28 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB137)) | (~v183(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32553, 32552])).
% 40.84/27.28 tff(32555,plain,
% 40.84/27.28 (~v181(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32554, 11201, 32548])).
% 40.84/27.28 tff(32556,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB137) | v185(constB137) | (~v178(constB137)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB137) | v185(constB137) | (~v178(constB137)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32557,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB137) | v185(constB137) | (~v178(constB137)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32558,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB137) | v185(constB137) | (~v178(constB137))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32557, 32556])).
% 40.84/27.28 tff(32559,plain,
% 40.84/27.28 (v185(constB137) | (~v178(constB137))),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32558, 11215, 32555])).
% 40.84/27.28 tff(32560,plain,
% 40.84/27.28 (~v178(constB137)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32559, 32517])).
% 40.84/27.28 tff(32561,plain,
% 40.84/27.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32562,plain,
% 40.84/27.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32563,plain,
% 40.84/27.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32562, 32561])).
% 40.84/27.28 tff(32564,plain,
% 40.84/27.28 (v178(constB137) | (~v180(constB138))),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32563, 11230, 18183])).
% 40.84/27.28 tff(32565,plain,
% 40.84/27.28 (~v180(constB138)),
% 40.84/27.28 inference(unit_resolution,[status(thm)],[32564, 32560])).
% 40.84/27.28 tff(32566,plain,
% 40.84/27.28 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB138) | (~v181(constB138)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB138) | (~v181(constB138)))),
% 40.84/27.28 inference(rewrite,[status(thm)],[])).
% 40.84/27.28 tff(32567,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB138) | (~v181(constB138)))),
% 40.84/27.28 inference(quant_inst,[status(thm)],[])).
% 40.84/27.28 tff(32568,plain,
% 40.84/27.28 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB138) | (~v181(constB138))),
% 40.84/27.28 inference(modus_ponens,[status(thm)],[32567, 32566])).
% 40.84/27.29 tff(32569,plain,
% 40.84/27.29 (~v181(constB138)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32568, 11242, 32565])).
% 40.84/27.29 tff(32570,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB138)) | (~v184(constB138)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB138)) | (~v184(constB138)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32571,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB138)) | (~v184(constB138)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32572,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB138)) | (~v184(constB138))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32571, 32570])).
% 40.84/27.29 tff(32573,plain,
% 40.84/27.29 (~v184(constB138)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32572, 11253, 18203])).
% 40.84/27.29 tff(32574,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB138) | (~v187(constB138)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB138) | (~v187(constB138)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32575,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB138) | (~v187(constB138)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32576,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB138) | (~v187(constB138))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32575, 32574])).
% 40.84/27.29 tff(32577,plain,
% 40.84/27.29 (~v187(constB138)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32576, 11264, 32573])).
% 40.84/27.29 tff(32578,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB138) | (~v185(constB138)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB138) | (~v185(constB138)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32579,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB138) | (~v185(constB138)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32580,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB138) | (~v185(constB138))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32579, 32578])).
% 40.84/27.29 tff(32581,plain,
% 40.84/27.29 (~v185(constB138)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32580, 11098, 32577])).
% 40.84/27.29 tff(32582,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB138) | v185(constB138) | (~v178(constB138)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB138) | v185(constB138) | (~v178(constB138)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32583,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB138) | v185(constB138) | (~v178(constB138)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32584,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB138) | v185(constB138) | (~v178(constB138))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32583, 32582])).
% 40.84/27.29 tff(32585,plain,
% 40.84/27.29 (v181(constB138) | (~v178(constB138))),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32584, 11215, 32581])).
% 40.84/27.29 tff(32586,plain,
% 40.84/27.29 (~v178(constB138)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32585, 32569])).
% 40.84/27.29 tff(32587,plain,
% 40.84/27.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32588,plain,
% 40.84/27.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32589,plain,
% 40.84/27.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32588, 32587])).
% 40.84/27.29 tff(32590,plain,
% 40.84/27.29 (v178(constB138) | (~v180(constB139))),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32589, 11230, 18252])).
% 40.84/27.29 tff(32591,plain,
% 40.84/27.29 (~v180(constB139)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32590, 32586])).
% 40.84/27.29 tff(32592,assumption,(constB139 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.29 tff(32593,plain,
% 40.84/27.29 (v180(constB139) <=> v180(sK0_VarCurr)),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32592])).
% 40.84/27.29 tff(32594,plain,
% 40.84/27.29 (v180(sK0_VarCurr) <=> v180(constB139)),
% 40.84/27.29 inference(symmetry,[status(thm)],[32593])).
% 40.84/27.29 tff(32595,plain,
% 40.84/27.29 (v180(constB139)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[11002, 32594])).
% 40.84/27.29 tff(32596,assumption,(~v180(constB139)), introduced(assumption)).
% 40.84/27.29 tff(32597,plain,
% 40.84/27.29 ($false),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32596, 32595])).
% 40.84/27.29 tff(32598,plain,((~(constB139 = sK0_VarCurr)) | v180(constB139) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.84/27.29 tff(32599,plain,
% 40.84/27.29 ((~(constB139 = sK0_VarCurr)) | (~v180(sK0_VarCurr))),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32598, 32591])).
% 40.84/27.29 tff(32600,plain,
% 40.84/27.29 (~(constB139 = sK0_VarCurr)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32599, 10998])).
% 40.84/27.29 tff(32601,assumption,(constB64 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.29 tff(32602,plain,
% 40.84/27.29 (v1(constB64) <=> v1(sK0_VarCurr)),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32601])).
% 40.84/27.29 tff(32603,plain,
% 40.84/27.29 (v1(sK0_VarCurr) <=> v1(constB64)),
% 40.84/27.29 inference(symmetry,[status(thm)],[32602])).
% 40.84/27.29 tff(32604,plain,
% 40.84/27.29 ((~v1(sK0_VarCurr)) <=> (~v1(constB64))),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32603])).
% 40.84/27.29 tff(32605,plain,
% 40.84/27.29 (~v1(constB64)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[21332, 32604])).
% 40.84/27.29 tff(32606,plain,
% 40.84/27.29 ($false),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[8636, 32605])).
% 40.84/27.29 tff(32607,plain,((~(constB64 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.84/27.29 tff(32608,plain,
% 40.84/27.29 (~(constB64 = sK0_VarCurr)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32607, 21327])).
% 40.84/27.29 tff(32609,assumption,(constB183 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.29 tff(32610,plain,
% 40.84/27.29 (v180(constB183) <=> v180(sK0_VarCurr)),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32609])).
% 40.84/27.29 tff(32611,plain,
% 40.84/27.29 (v180(sK0_VarCurr) <=> v180(constB183)),
% 40.84/27.29 inference(symmetry,[status(thm)],[32610])).
% 40.84/27.29 tff(32612,plain,
% 40.84/27.29 (v180(constB183)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[11002, 32611])).
% 40.84/27.29 tff(32613,plain,
% 40.84/27.29 (((~![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)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32614,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB181, bitIndex0) | (~v88(constB181, bitIndex0)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32615,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB181, bitIndex0) | (~v88(constB181, bitIndex0))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32614, 32613])).
% 40.84/27.29 tff(32616,plain,
% 40.84/27.29 (~v88(constB181, bitIndex0)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32615, 14645, 24789])).
% 40.84/27.29 tff(32617,plain,
% 40.84/27.29 (((~![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))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32618,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32619,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32618, 32617])).
% 40.84/27.29 tff(32620,plain,
% 40.84/27.29 (v88(constB181, bitIndex2)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32619, 10566, 24724])).
% 40.84/27.29 tff(32621,plain,
% 40.84/27.29 (((~![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))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32622,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32623,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32622, 32621])).
% 40.84/27.29 tff(32624,plain,
% 40.84/27.29 (v88(constB181, bitIndex1)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32623, 21131, 24755])).
% 40.84/27.29 tff(32625,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | v144(constB181))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | v144(constB181))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32626,plain,
% 40.84/27.29 (((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181)) <=> ((~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | v144(constB181))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32627,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | v144(constB181)))),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32626])).
% 40.84/27.29 tff(32628,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | v144(constB181))),
% 40.84/27.29 inference(transitivity,[status(thm)],[32627, 32625])).
% 40.84/27.29 tff(32629,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32630,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | v144(constB181)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32629, 32628])).
% 40.84/27.29 tff(32631,plain,
% 40.84/27.29 (v144(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32630, 21145, 32624, 32620, 32616])).
% 40.84/27.29 tff(32632,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB181) | (~v144(constB181)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB181) | (~v144(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32633,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB181) | (~v144(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32634,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB181) | (~v144(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32633, 32632])).
% 40.84/27.29 tff(32635,plain,
% 40.84/27.29 (v142(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32634, 21159, 32631])).
% 40.84/27.29 tff(32636,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB181) | (~v142(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32637,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB181) | (~v142(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32638,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB181) | (~v142(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32637, 32636])).
% 40.84/27.29 tff(32639,plain,
% 40.84/27.29 (v166(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32638, 21170, 32635])).
% 40.84/27.29 tff(32640,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB181) | (~v166(constB181)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB181) | (~v166(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32641,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB181) | (~v166(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32642,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB181) | (~v166(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32641, 32640])).
% 40.84/27.29 tff(32643,plain,
% 40.84/27.29 (v165(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32642, 21181, 32639])).
% 40.84/27.29 tff(32644,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v139(constB181)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB181, bitIndex1)) | (~v139(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32645,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v139(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32646,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB181, bitIndex1)) | (~v139(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32645, 32644])).
% 40.84/27.29 tff(32647,plain,
% 40.84/27.29 (~v139(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32646, 21192, 32624])).
% 40.84/27.29 tff(32648,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v140(constB181)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB181, bitIndex1)) | (~v140(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32649,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v140(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32650,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB181, bitIndex1)) | (~v140(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32649, 32648])).
% 40.84/27.29 tff(32651,plain,
% 40.84/27.29 (~v140(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32650, 21203, 32624])).
% 40.84/27.29 tff(32652,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB181)) | v140(constB181) | v139(constB181))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB181)) | v140(constB181) | v139(constB181))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32653,plain,
% 40.84/27.29 ((v140(constB181) | v139(constB181) | (~v170(constB181))) <=> ((~v170(constB181)) | v140(constB181) | v139(constB181))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32654,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v170(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB181)) | v140(constB181) | v139(constB181)))),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32653])).
% 40.84/27.29 tff(32655,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v170(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB181)) | v140(constB181) | v139(constB181))),
% 40.84/27.29 inference(transitivity,[status(thm)],[32654, 32652])).
% 40.84/27.29 tff(32656,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v170(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32657,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB181)) | v140(constB181) | v139(constB181)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32656, 32655])).
% 40.84/27.29 tff(32658,plain,
% 40.84/27.29 (~v170(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32657, 10647, 32651, 32647])).
% 40.84/27.29 tff(32659,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB181)) | (~v88(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB181)) | (~v88(constB181, bitIndex2)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32660,plain,
% 40.84/27.29 (((~v88(constB181, bitIndex2)) | (~v141(constB181))) <=> ((~v141(constB181)) | (~v88(constB181, bitIndex2)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32661,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB181, bitIndex2)) | (~v141(constB181)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB181)) | (~v88(constB181, bitIndex2))))),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32660])).
% 40.84/27.29 tff(32662,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB181, bitIndex2)) | (~v141(constB181)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB181)) | (~v88(constB181, bitIndex2)))),
% 40.84/27.29 inference(transitivity,[status(thm)],[32661, 32659])).
% 40.84/27.29 tff(32663,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB181, bitIndex2)) | (~v141(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32664,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB181)) | (~v88(constB181, bitIndex2))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32663, 32662])).
% 40.84/27.29 tff(32665,plain,
% 40.84/27.29 (~v141(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32664, 10658, 32620])).
% 40.84/27.29 tff(32666,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB181) | v170(constB181) | (~v169(constB181)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB181) | v170(constB181) | (~v169(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32667,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB181) | v170(constB181) | (~v169(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32668,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB181) | v170(constB181) | (~v169(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32667, 32666])).
% 40.84/27.29 tff(32669,plain,
% 40.84/27.29 (~v169(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32668, 11040, 32665, 32658])).
% 40.84/27.29 tff(32670,plain,
% 40.84/27.29 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB181)) | (~v165(constB181)) | v169(constB181))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB181)) | (~v165(constB181)) | v169(constB181))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32671,plain,
% 40.84/27.29 (((~v165(constB181)) | v169(constB181) | (~v162(constB181))) <=> ((~v162(constB181)) | (~v165(constB181)) | v169(constB181))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32672,plain,
% 40.84/27.29 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB181)) | v169(constB181) | (~v162(constB181)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB181)) | (~v165(constB181)) | v169(constB181)))),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32671])).
% 40.84/27.29 tff(32673,plain,
% 40.84/27.29 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB181)) | v169(constB181) | (~v162(constB181)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB181)) | (~v165(constB181)) | v169(constB181))),
% 40.84/27.29 inference(transitivity,[status(thm)],[32672, 32670])).
% 40.84/27.29 tff(32674,plain,
% 40.84/27.29 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB181)) | v169(constB181) | (~v162(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32675,plain,
% 40.84/27.29 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB181)) | (~v165(constB181)) | v169(constB181)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32674, 32673])).
% 40.84/27.29 tff(32676,plain,
% 40.84/27.29 ((~v162(constB181)) | (~v165(constB181))),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32675, 11073, 32669])).
% 40.84/27.29 tff(32677,plain,
% 40.84/27.29 (~v162(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32676, 32643])).
% 40.84/27.29 tff(32678,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB181) | (~v187(constB181)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB181) | (~v187(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32679,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB181) | (~v187(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32680,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB181) | (~v187(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32679, 32678])).
% 40.84/27.29 tff(32681,plain,
% 40.84/27.29 (~v187(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32680, 11087, 32677])).
% 40.84/27.29 tff(32682,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB181) | (~v185(constB181)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB181) | (~v185(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32683,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB181) | (~v185(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32684,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB181) | (~v185(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32683, 32682])).
% 40.84/27.29 tff(32685,plain,
% 40.84/27.29 (~v185(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32684, 11098, 32681])).
% 40.84/27.29 tff(32686,assumption,(v18(constB182)), introduced(assumption)).
% 40.84/27.29 tff(32687,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB182))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32688,plain,
% 40.84/27.29 ($false),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32687, 11110, 32686])).
% 40.84/27.29 tff(32689,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 40.84/27.29 tff(32690,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32691,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32692,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32691, 32690])).
% 40.84/27.29 tff(32693,plain,
% 40.84/27.29 (v22(constB182)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32692, 11120, 24836])).
% 40.84/27.29 tff(32694,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB182)) | (~v22(constB182)) | v18(constB182))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB182)) | (~v22(constB182)) | v18(constB182))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32695,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB182)) | (~v22(constB182)) | v18(constB182))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32696,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB182)) | (~v22(constB182)) | v18(constB182)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32695, 32694])).
% 40.84/27.29 tff(32697,plain,
% 40.84/27.29 ((~v19(constB182)) | v18(constB182)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32696, 11134, 32693])).
% 40.84/27.29 tff(32698,plain,
% 40.84/27.29 (~v19(constB182)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32697, 32689])).
% 40.84/27.29 tff(32699,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32700,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32701,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32700, 32699])).
% 40.84/27.29 tff(32702,plain,
% 40.84/27.29 (v13(constB182)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32701, 11149, 32698])).
% 40.84/27.29 tff(32703,plain,
% 40.84/27.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32704,plain,
% 40.84/27.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32705,plain,
% 40.84/27.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32704, 32703])).
% 40.84/27.29 tff(32706,plain,
% 40.84/27.29 ((~v13(constB182)) | v9(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32705, 11163, 24816])).
% 40.84/27.29 tff(32707,plain,
% 40.84/27.29 (v9(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32706, 32702])).
% 40.84/27.29 tff(32708,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v184(constB181))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB181) | (~v9(constB181)) | v184(constB181))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32709,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v184(constB181))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32710,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB181) | (~v9(constB181)) | v184(constB181)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32709, 32708])).
% 40.84/27.29 tff(32711,plain,
% 40.84/27.29 ((~v9(constB181)) | v184(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32710, 11178, 24700])).
% 40.84/27.29 tff(32712,plain,
% 40.84/27.29 (v184(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32711, 32707])).
% 40.84/27.29 tff(32713,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB181) | (~v184(constB181)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB181) | (~v184(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32714,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB181) | (~v184(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32715,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB181) | (~v184(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32714, 32713])).
% 40.84/27.29 tff(32716,plain,
% 40.84/27.29 (v183(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32715, 11190, 32712])).
% 40.84/27.29 tff(32717,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB181)) | (~v183(constB181)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB181)) | (~v183(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32718,plain,
% 40.84/27.29 (((~v183(constB181)) | (~v181(constB181))) <=> ((~v181(constB181)) | (~v183(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32719,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB181)) | (~v181(constB181)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB181)) | (~v183(constB181))))),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32718])).
% 40.84/27.29 tff(32720,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB181)) | (~v181(constB181)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB181)) | (~v183(constB181)))),
% 40.84/27.29 inference(transitivity,[status(thm)],[32719, 32717])).
% 40.84/27.29 tff(32721,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB181)) | (~v181(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32722,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB181)) | (~v183(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32721, 32720])).
% 40.84/27.29 tff(32723,plain,
% 40.84/27.29 (~v181(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32722, 11201, 32716])).
% 40.84/27.29 tff(32724,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB181) | v185(constB181) | (~v178(constB181)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB181) | v185(constB181) | (~v178(constB181)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32725,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB181) | v185(constB181) | (~v178(constB181)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32726,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB181) | v185(constB181) | (~v178(constB181))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32725, 32724])).
% 40.84/27.29 tff(32727,plain,
% 40.84/27.29 (v185(constB181) | (~v178(constB181))),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32726, 11215, 32723])).
% 40.84/27.29 tff(32728,plain,
% 40.84/27.29 (~v178(constB181)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32727, 32685])).
% 40.84/27.29 tff(32729,plain,
% 40.84/27.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32730,plain,
% 40.84/27.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32731,plain,
% 40.84/27.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32730, 32729])).
% 40.84/27.29 tff(32732,plain,
% 40.84/27.29 (v178(constB181) | (~v180(constB182))),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32731, 11230, 24816])).
% 40.84/27.29 tff(32733,plain,
% 40.84/27.29 (~v180(constB182)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32732, 32728])).
% 40.84/27.29 tff(32734,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB182) | (~v181(constB182)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB182) | (~v181(constB182)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32735,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB182) | (~v181(constB182)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32736,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB182) | (~v181(constB182))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32735, 32734])).
% 40.84/27.29 tff(32737,plain,
% 40.84/27.29 (~v181(constB182)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32736, 11242, 32733])).
% 40.84/27.29 tff(32738,plain,
% 40.84/27.29 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB182)) | (~v184(constB182)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB182)) | (~v184(constB182)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32739,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB182)) | (~v184(constB182)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32740,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB182)) | (~v184(constB182))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32739, 32738])).
% 40.84/27.29 tff(32741,plain,
% 40.84/27.29 (~v184(constB182)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32740, 11253, 24836])).
% 40.84/27.29 tff(32742,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB182) | (~v187(constB182)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB182) | (~v187(constB182)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32743,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB182) | (~v187(constB182)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32744,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB182) | (~v187(constB182))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32743, 32742])).
% 40.84/27.29 tff(32745,plain,
% 40.84/27.29 (~v187(constB182)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32744, 11264, 32741])).
% 40.84/27.29 tff(32746,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB182) | (~v185(constB182)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB182) | (~v185(constB182)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32747,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB182) | (~v185(constB182)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32748,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB182) | (~v185(constB182))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32747, 32746])).
% 40.84/27.29 tff(32749,plain,
% 40.84/27.29 (~v185(constB182)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32748, 11098, 32745])).
% 40.84/27.29 tff(32750,plain,
% 40.84/27.29 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB182) | v185(constB182) | (~v178(constB182)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB182) | v185(constB182) | (~v178(constB182)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32751,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB182) | v185(constB182) | (~v178(constB182)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32752,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB182) | v185(constB182) | (~v178(constB182))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32751, 32750])).
% 40.84/27.29 tff(32753,plain,
% 40.84/27.29 (v181(constB182) | (~v178(constB182))),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32752, 11215, 32749])).
% 40.84/27.29 tff(32754,plain,
% 40.84/27.29 (~v178(constB182)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32753, 32737])).
% 40.84/27.29 tff(32755,plain,
% 40.84/27.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32756,plain,
% 40.84/27.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32757,plain,
% 40.84/27.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32756, 32755])).
% 40.84/27.29 tff(32758,plain,
% 40.84/27.29 (v178(constB182) | (~v180(constB183))),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32757, 11230, 24908])).
% 40.84/27.29 tff(32759,plain,
% 40.84/27.29 (~v180(constB183)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32758, 32754])).
% 40.84/27.29 tff(32760,plain,
% 40.84/27.29 ($false),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32759, 32612])).
% 40.84/27.29 tff(32761,plain,((~(constB183 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.84/27.29 tff(32762,plain,
% 40.84/27.29 (~(constB183 = sK0_VarCurr)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32761, 10998])).
% 40.84/27.29 tff(32763,assumption,(constB123 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.29 tff(32764,plain,
% 40.84/27.29 (v180(constB123) <=> v180(sK0_VarCurr)),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32763])).
% 40.84/27.29 tff(32765,plain,
% 40.84/27.29 (v180(sK0_VarCurr) <=> v180(constB123)),
% 40.84/27.29 inference(symmetry,[status(thm)],[32764])).
% 40.84/27.29 tff(32766,plain,
% 40.84/27.29 (v180(constB123)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[11002, 32765])).
% 40.84/27.29 tff(32767,plain,
% 40.84/27.29 ($false),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[28054, 32766])).
% 40.84/27.29 tff(32768,plain,((~(constB123 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.84/27.29 tff(32769,plain,
% 40.84/27.29 (~(constB123 = sK0_VarCurr)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32768, 10998])).
% 40.84/27.29 tff(32770,assumption,(constB58 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.29 tff(32771,plain,
% 40.84/27.29 (v1(constB58) <=> v1(sK0_VarCurr)),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32770])).
% 40.84/27.29 tff(32772,plain,
% 40.84/27.29 (v1(sK0_VarCurr) <=> v1(constB58)),
% 40.84/27.29 inference(symmetry,[status(thm)],[32771])).
% 40.84/27.29 tff(32773,plain,
% 40.84/27.29 ((~v1(sK0_VarCurr)) <=> (~v1(constB58))),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32772])).
% 40.84/27.29 tff(32774,plain,
% 40.84/27.29 (~v1(constB58)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[21332, 32773])).
% 40.84/27.29 tff(32775,plain,
% 40.84/27.29 ($false),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[7220, 32774])).
% 40.84/27.29 tff(32776,plain,((~(constB58 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.84/27.29 tff(32777,plain,
% 40.84/27.29 (~(constB58 = sK0_VarCurr)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32776, 21327])).
% 40.84/27.29 tff(32778,assumption,(constB111 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.29 tff(32779,plain,
% 40.84/27.29 (v180(constB111) <=> v180(sK0_VarCurr)),
% 40.84/27.29 inference(monotonicity,[status(thm)],[32778])).
% 40.84/27.29 tff(32780,plain,
% 40.84/27.29 (v180(sK0_VarCurr) <=> v180(constB111)),
% 40.84/27.29 inference(symmetry,[status(thm)],[32779])).
% 40.84/27.29 tff(32781,plain,
% 40.84/27.29 (v180(constB111)),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[11002, 32780])).
% 40.84/27.29 tff(32782,plain,
% 40.84/27.29 (((~![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)))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32783,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0)))),
% 40.84/27.29 inference(quant_inst,[status(thm)],[])).
% 40.84/27.29 tff(32784,plain,
% 40.84/27.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0))),
% 40.84/27.29 inference(modus_ponens,[status(thm)],[32783, 32782])).
% 40.84/27.29 tff(32785,plain,
% 40.84/27.29 (~v88(constB109, bitIndex0)),
% 40.84/27.29 inference(unit_resolution,[status(thm)],[32784, 14645, 13813])).
% 40.84/27.29 tff(32786,plain,
% 40.84/27.29 (((~![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))),
% 40.84/27.29 inference(rewrite,[status(thm)],[])).
% 40.84/27.29 tff(32787,plain,
% 40.84/27.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex2)) | v88(constB109, bitIndex2))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32788,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex2)) | v88(constB109, bitIndex2)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32787, 32786])).
% 40.84/27.30 tff(32789,plain,
% 40.84/27.30 (v88(constB109, bitIndex2)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32788, 10566, 13748])).
% 40.84/27.30 tff(32790,plain,
% 40.84/27.30 (((~![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))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32791,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32792,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32791, 32790])).
% 40.84/27.30 tff(32793,plain,
% 40.84/27.30 (v88(constB109, bitIndex1)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32792, 21131, 13779])).
% 40.84/27.30 tff(32794,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | v144(constB109))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | v144(constB109))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32795,plain,
% 40.84/27.30 (((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109)) <=> ((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | v144(constB109))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32796,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | v144(constB109)))),
% 40.84/27.30 inference(monotonicity,[status(thm)],[32795])).
% 40.84/27.30 tff(32797,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | v144(constB109))),
% 40.84/27.30 inference(transitivity,[status(thm)],[32796, 32794])).
% 40.84/27.30 tff(32798,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32799,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | (~v88(constB109, bitIndex2)) | v144(constB109)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32798, 32797])).
% 40.84/27.30 tff(32800,plain,
% 40.84/27.30 (v144(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32799, 21145, 32793, 32789, 32785])).
% 40.84/27.30 tff(32801,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB109) | (~v144(constB109)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB109) | (~v144(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32802,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB109) | (~v144(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32803,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB109) | (~v144(constB109))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32802, 32801])).
% 40.84/27.30 tff(32804,plain,
% 40.84/27.30 (v142(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32803, 21159, 32800])).
% 40.84/27.30 tff(32805,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB109) | (~v142(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32806,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB109) | (~v142(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32807,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB109) | (~v142(constB109))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32806, 32805])).
% 40.84/27.30 tff(32808,plain,
% 40.84/27.30 (v166(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32807, 21170, 32804])).
% 40.84/27.30 tff(32809,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB109) | (~v166(constB109)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB109) | (~v166(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32810,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB109) | (~v166(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32811,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB109) | (~v166(constB109))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32810, 32809])).
% 40.84/27.30 tff(32812,plain,
% 40.84/27.30 (v165(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32811, 21181, 32808])).
% 40.84/27.30 tff(32813,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB109)) | (~v88(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB109)) | (~v88(constB109, bitIndex1)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32814,plain,
% 40.84/27.30 (((~v88(constB109, bitIndex1)) | (~v139(constB109))) <=> ((~v139(constB109)) | (~v88(constB109, bitIndex1)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32815,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB109, bitIndex1)) | (~v139(constB109)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB109)) | (~v88(constB109, bitIndex1))))),
% 40.84/27.30 inference(monotonicity,[status(thm)],[32814])).
% 40.84/27.30 tff(32816,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB109, bitIndex1)) | (~v139(constB109)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB109)) | (~v88(constB109, bitIndex1)))),
% 40.84/27.30 inference(transitivity,[status(thm)],[32815, 32813])).
% 40.84/27.30 tff(32817,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB109, bitIndex1)) | (~v139(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32818,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB109)) | (~v88(constB109, bitIndex1))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32817, 32816])).
% 40.84/27.30 tff(32819,plain,
% 40.84/27.30 (~v139(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32818, 21192, 32793])).
% 40.84/27.30 tff(32820,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB109)) | (~v88(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB109)) | (~v88(constB109, bitIndex1)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32821,plain,
% 40.84/27.30 (((~v88(constB109, bitIndex1)) | (~v140(constB109))) <=> ((~v140(constB109)) | (~v88(constB109, bitIndex1)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32822,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB109, bitIndex1)) | (~v140(constB109)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB109)) | (~v88(constB109, bitIndex1))))),
% 40.84/27.30 inference(monotonicity,[status(thm)],[32821])).
% 40.84/27.30 tff(32823,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB109, bitIndex1)) | (~v140(constB109)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB109)) | (~v88(constB109, bitIndex1)))),
% 40.84/27.30 inference(transitivity,[status(thm)],[32822, 32820])).
% 40.84/27.30 tff(32824,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB109, bitIndex1)) | (~v140(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32825,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB109)) | (~v88(constB109, bitIndex1))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32824, 32823])).
% 40.84/27.30 tff(32826,plain,
% 40.84/27.30 (~v140(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32825, 21203, 32793])).
% 40.84/27.30 tff(32827,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB109)) | v140(constB109) | v139(constB109))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB109)) | v140(constB109) | v139(constB109))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32828,plain,
% 40.84/27.30 ((v140(constB109) | v139(constB109) | (~v170(constB109))) <=> ((~v170(constB109)) | v140(constB109) | v139(constB109))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32829,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v170(constB109)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB109)) | v140(constB109) | v139(constB109)))),
% 40.84/27.30 inference(monotonicity,[status(thm)],[32828])).
% 40.84/27.30 tff(32830,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v170(constB109)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB109)) | v140(constB109) | v139(constB109))),
% 40.84/27.30 inference(transitivity,[status(thm)],[32829, 32827])).
% 40.84/27.30 tff(32831,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v170(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32832,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB109)) | v140(constB109) | v139(constB109)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32831, 32830])).
% 40.84/27.30 tff(32833,plain,
% 40.84/27.30 (~v170(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32832, 10647, 32826, 32819])).
% 40.84/27.30 tff(32834,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB109, bitIndex2)) | (~v141(constB109)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB109, bitIndex2)) | (~v141(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32835,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB109, bitIndex2)) | (~v141(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32836,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB109, bitIndex2)) | (~v141(constB109))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32835, 32834])).
% 40.84/27.30 tff(32837,plain,
% 40.84/27.30 (~v141(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32836, 10658, 32789])).
% 40.84/27.30 tff(32838,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB109) | v170(constB109) | (~v169(constB109)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB109) | v170(constB109) | (~v169(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32839,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB109) | v170(constB109) | (~v169(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32840,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB109) | v170(constB109) | (~v169(constB109))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32839, 32838])).
% 40.84/27.30 tff(32841,plain,
% 40.84/27.30 (~v169(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32840, 11040, 32837, 32833])).
% 40.84/27.30 tff(32842,plain,
% 40.84/27.30 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB109)) | (~v165(constB109)) | v169(constB109))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB109)) | (~v165(constB109)) | v169(constB109))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32843,plain,
% 40.84/27.30 (((~v165(constB109)) | v169(constB109) | (~v162(constB109))) <=> ((~v162(constB109)) | (~v165(constB109)) | v169(constB109))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32844,plain,
% 40.84/27.30 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB109)) | v169(constB109) | (~v162(constB109)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB109)) | (~v165(constB109)) | v169(constB109)))),
% 40.84/27.30 inference(monotonicity,[status(thm)],[32843])).
% 40.84/27.30 tff(32845,plain,
% 40.84/27.30 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB109)) | v169(constB109) | (~v162(constB109)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB109)) | (~v165(constB109)) | v169(constB109))),
% 40.84/27.30 inference(transitivity,[status(thm)],[32844, 32842])).
% 40.84/27.30 tff(32846,plain,
% 40.84/27.30 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB109)) | v169(constB109) | (~v162(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32847,plain,
% 40.84/27.30 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB109)) | (~v165(constB109)) | v169(constB109)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32846, 32845])).
% 40.84/27.30 tff(32848,plain,
% 40.84/27.30 ((~v162(constB109)) | (~v165(constB109))),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32847, 11073, 32841])).
% 40.84/27.30 tff(32849,plain,
% 40.84/27.30 (~v162(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32848, 32812])).
% 40.84/27.30 tff(32850,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB109) | (~v187(constB109)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB109) | (~v187(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32851,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB109) | (~v187(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32852,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB109) | (~v187(constB109))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32851, 32850])).
% 40.84/27.30 tff(32853,plain,
% 40.84/27.30 (~v187(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32852, 11087, 32849])).
% 40.84/27.30 tff(32854,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB109) | (~v185(constB109)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB109) | (~v185(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32855,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB109) | (~v185(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32856,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB109) | (~v185(constB109))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32855, 32854])).
% 40.84/27.30 tff(32857,plain,
% 40.84/27.30 (~v185(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32856, 11098, 32853])).
% 40.84/27.30 tff(32858,assumption,(v18(constB110)), introduced(assumption)).
% 40.84/27.30 tff(32859,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB110))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32860,plain,
% 40.84/27.30 ($false),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32859, 11110, 32858])).
% 40.84/27.30 tff(32861,plain,(~v18(constB110)), inference(lemma,lemma(discharge,[]))).
% 40.84/27.30 tff(32862,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32863,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32864,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32863, 32862])).
% 40.84/27.30 tff(32865,plain,
% 40.84/27.30 (v22(constB110)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32864, 11120, 13860])).
% 40.84/27.30 tff(32866,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB110)) | (~v22(constB110)) | v18(constB110))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB110)) | (~v22(constB110)) | v18(constB110))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32867,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB110)) | (~v22(constB110)) | v18(constB110))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32868,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB110)) | (~v22(constB110)) | v18(constB110)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32867, 32866])).
% 40.84/27.30 tff(32869,plain,
% 40.84/27.30 ((~v19(constB110)) | v18(constB110)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32868, 11134, 32865])).
% 40.84/27.30 tff(32870,plain,
% 40.84/27.30 (~v19(constB110)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32869, 32861])).
% 40.84/27.30 tff(32871,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32872,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32873,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32872, 32871])).
% 40.84/27.30 tff(32874,plain,
% 40.84/27.30 (v13(constB110)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32873, 11149, 32870])).
% 40.84/27.30 tff(32875,plain,
% 40.84/27.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32876,plain,
% 40.84/27.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32877,plain,
% 40.84/27.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32876, 32875])).
% 40.84/27.30 tff(32878,plain,
% 40.84/27.30 ((~v13(constB110)) | v9(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32877, 11163, 13840])).
% 40.84/27.30 tff(32879,plain,
% 40.84/27.30 (v9(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32878, 32874])).
% 40.84/27.30 tff(32880,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v184(constB109))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB109) | (~v9(constB109)) | v184(constB109))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32881,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v184(constB109))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32882,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB109) | (~v9(constB109)) | v184(constB109)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32881, 32880])).
% 40.84/27.30 tff(32883,plain,
% 40.84/27.30 ((~v9(constB109)) | v184(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32882, 11178, 13724])).
% 40.84/27.30 tff(32884,plain,
% 40.84/27.30 (v184(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32883, 32879])).
% 40.84/27.30 tff(32885,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB109) | (~v184(constB109)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB109) | (~v184(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32886,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB109) | (~v184(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32887,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB109) | (~v184(constB109))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32886, 32885])).
% 40.84/27.30 tff(32888,plain,
% 40.84/27.30 (v183(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32887, 11190, 32884])).
% 40.84/27.30 tff(32889,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB109)) | (~v183(constB109)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB109)) | (~v183(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32890,plain,
% 40.84/27.30 (((~v183(constB109)) | (~v181(constB109))) <=> ((~v181(constB109)) | (~v183(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32891,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB109)) | (~v181(constB109)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB109)) | (~v183(constB109))))),
% 40.84/27.30 inference(monotonicity,[status(thm)],[32890])).
% 40.84/27.30 tff(32892,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB109)) | (~v181(constB109)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB109)) | (~v183(constB109)))),
% 40.84/27.30 inference(transitivity,[status(thm)],[32891, 32889])).
% 40.84/27.30 tff(32893,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB109)) | (~v181(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32894,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB109)) | (~v183(constB109))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32893, 32892])).
% 40.84/27.30 tff(32895,plain,
% 40.84/27.30 (~v181(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32894, 11201, 32888])).
% 40.84/27.30 tff(32896,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB109) | v185(constB109) | (~v178(constB109)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB109) | v185(constB109) | (~v178(constB109)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32897,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB109) | v185(constB109) | (~v178(constB109)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32898,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB109) | v185(constB109) | (~v178(constB109))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32897, 32896])).
% 40.84/27.30 tff(32899,plain,
% 40.84/27.30 (v185(constB109) | (~v178(constB109))),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32898, 11215, 32895])).
% 40.84/27.30 tff(32900,plain,
% 40.84/27.30 (~v178(constB109)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32899, 32857])).
% 40.84/27.30 tff(32901,plain,
% 40.84/27.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32902,plain,
% 40.84/27.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32903,plain,
% 40.84/27.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32902, 32901])).
% 40.84/27.30 tff(32904,plain,
% 40.84/27.30 (v178(constB109) | (~v180(constB110))),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32903, 11230, 13840])).
% 40.84/27.30 tff(32905,plain,
% 40.84/27.30 (~v180(constB110)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32904, 32900])).
% 40.84/27.30 tff(32906,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB110) | (~v181(constB110)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB110) | (~v181(constB110)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32907,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB110) | (~v181(constB110)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32908,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB110) | (~v181(constB110))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32907, 32906])).
% 40.84/27.30 tff(32909,plain,
% 40.84/27.30 (~v181(constB110)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32908, 11242, 32905])).
% 40.84/27.30 tff(32910,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB110)) | (~v184(constB110)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB110)) | (~v184(constB110)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32911,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB110)) | (~v184(constB110)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32912,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB110)) | (~v184(constB110))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32911, 32910])).
% 40.84/27.30 tff(32913,plain,
% 40.84/27.30 (~v184(constB110)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32912, 11253, 13860])).
% 40.84/27.30 tff(32914,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB110) | (~v187(constB110)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB110) | (~v187(constB110)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32915,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB110) | (~v187(constB110)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32916,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB110) | (~v187(constB110))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32915, 32914])).
% 40.84/27.30 tff(32917,plain,
% 40.84/27.30 (~v187(constB110)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32916, 11264, 32913])).
% 40.84/27.30 tff(32918,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB110) | (~v185(constB110)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB110) | (~v185(constB110)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32919,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB110) | (~v185(constB110)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32920,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB110) | (~v185(constB110))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32919, 32918])).
% 40.84/27.30 tff(32921,plain,
% 40.84/27.30 (~v185(constB110)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32920, 11098, 32917])).
% 40.84/27.30 tff(32922,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB110) | v185(constB110) | (~v178(constB110)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB110) | v185(constB110) | (~v178(constB110)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32923,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB110) | v185(constB110) | (~v178(constB110)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32924,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB110) | v185(constB110) | (~v178(constB110))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32923, 32922])).
% 40.84/27.30 tff(32925,plain,
% 40.84/27.30 (v181(constB110) | (~v178(constB110))),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32924, 11215, 32921])).
% 40.84/27.30 tff(32926,plain,
% 40.84/27.30 (~v178(constB110)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32925, 32909])).
% 40.84/27.30 tff(32927,plain,
% 40.84/27.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32928,plain,
% 40.84/27.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32929,plain,
% 40.84/27.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32928, 32927])).
% 40.84/27.30 tff(32930,plain,
% 40.84/27.30 (v178(constB110) | (~v180(constB111))),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32929, 11230, 13932])).
% 40.84/27.30 tff(32931,plain,
% 40.84/27.30 (~v180(constB111)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32930, 32926])).
% 40.84/27.30 tff(32932,plain,
% 40.84/27.30 ($false),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32931, 32781])).
% 40.84/27.30 tff(32933,plain,((~(constB111 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.84/27.30 tff(32934,plain,
% 40.84/27.30 (~(constB111 = sK0_VarCurr)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32933, 10998])).
% 40.84/27.30 tff(32935,assumption,(constB126 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.30 tff(32936,plain,
% 40.84/27.30 (v1(constB126) <=> v1(sK0_VarCurr)),
% 40.84/27.30 inference(monotonicity,[status(thm)],[32935])).
% 40.84/27.30 tff(32937,plain,
% 40.84/27.30 (v1(sK0_VarCurr) <=> v1(constB126)),
% 40.84/27.30 inference(symmetry,[status(thm)],[32936])).
% 40.84/27.30 tff(32938,plain,
% 40.84/27.30 ((~v1(sK0_VarCurr)) <=> (~v1(constB126))),
% 40.84/27.30 inference(monotonicity,[status(thm)],[32937])).
% 40.84/27.30 tff(32939,plain,
% 40.84/27.30 (~v1(constB126)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[21332, 32938])).
% 40.84/27.30 tff(32940,plain,
% 40.84/27.30 ($false),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[16288, 32939])).
% 40.84/27.30 tff(32941,plain,((~(constB126 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.84/27.30 tff(32942,plain,
% 40.84/27.30 (~(constB126 = sK0_VarCurr)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32941, 21327])).
% 40.84/27.30 tff(32943,assumption,(constB87 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.30 tff(32944,plain,
% 40.84/27.30 (v180(constB87) <=> v180(sK0_VarCurr)),
% 40.84/27.30 inference(monotonicity,[status(thm)],[32943])).
% 40.84/27.30 tff(32945,plain,
% 40.84/27.30 (v180(sK0_VarCurr) <=> v180(constB87)),
% 40.84/27.30 inference(symmetry,[status(thm)],[32944])).
% 40.84/27.30 tff(32946,plain,
% 40.84/27.30 (v180(constB87)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[11002, 32945])).
% 40.84/27.30 tff(32947,plain,
% 40.84/27.30 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32948,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0)))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32949,plain,
% 40.84/27.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB85, bitIndex0) | (~v88(constB85, bitIndex0))),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32948, 32947])).
% 40.84/27.30 tff(32950,plain,
% 40.84/27.30 (~v88(constB85, bitIndex0)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32949, 14645, 11468])).
% 40.84/27.30 tff(32951,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32952,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32953,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32952, 32951])).
% 40.84/27.30 tff(32954,plain,
% 40.84/27.30 (v88(constB85, bitIndex2)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32953, 10566, 11403])).
% 40.84/27.30 tff(32955,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32956,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32957,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1)),
% 40.84/27.30 inference(modus_ponens,[status(thm)],[32956, 32955])).
% 40.84/27.30 tff(32958,plain,
% 40.84/27.30 (v88(constB85, bitIndex1)),
% 40.84/27.30 inference(unit_resolution,[status(thm)],[32957, 21131, 11434])).
% 40.84/27.30 tff(32959,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32960,plain,
% 40.84/27.30 (((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85)) <=> (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 40.84/27.30 inference(rewrite,[status(thm)],[])).
% 40.84/27.30 tff(32961,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)))),
% 40.84/27.30 inference(monotonicity,[status(thm)],[32960])).
% 40.84/27.30 tff(32962,plain,
% 40.84/27.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 40.84/27.30 inference(transitivity,[status(thm)],[32961, 32959])).
% 40.84/27.30 tff(32963,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))),
% 40.84/27.30 inference(quant_inst,[status(thm)],[])).
% 40.84/27.30 tff(32964,plain,
% 40.84/27.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[32963, 32962])).
% 40.84/27.31 tff(32965,plain,
% 40.84/27.31 (v144(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[32964, 21145, 32958, 32954, 32950])).
% 40.84/27.31 tff(32966,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB85) | (~v144(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(32967,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB85) | (~v144(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(32968,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB85) | (~v144(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[32967, 32966])).
% 40.84/27.31 tff(32969,plain,
% 40.84/27.31 (v142(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[32968, 21159, 32965])).
% 40.84/27.31 tff(32970,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB85) | (~v142(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(32971,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB85) | (~v142(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(32972,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB85) | (~v142(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[32971, 32970])).
% 40.84/27.31 tff(32973,plain,
% 40.84/27.31 (v166(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[32972, 21170, 32969])).
% 40.84/27.31 tff(32974,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB85) | (~v166(constB85)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB85) | (~v166(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(32975,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB85) | (~v166(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(32976,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB85) | (~v166(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[32975, 32974])).
% 40.84/27.31 tff(32977,plain,
% 40.84/27.31 (v165(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[32976, 21181, 32973])).
% 40.84/27.31 tff(32978,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB85, bitIndex1)) | (~v139(constB85)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB85, bitIndex1)) | (~v139(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(32979,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB85, bitIndex1)) | (~v139(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(32980,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB85, bitIndex1)) | (~v139(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[32979, 32978])).
% 40.84/27.31 tff(32981,plain,
% 40.84/27.31 (~v139(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[32980, 21192, 32958])).
% 40.84/27.31 tff(32982,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB85, bitIndex1)) | (~v140(constB85)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB85, bitIndex1)) | (~v140(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(32983,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB85, bitIndex1)) | (~v140(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(32984,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB85, bitIndex1)) | (~v140(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[32983, 32982])).
% 40.84/27.31 tff(32985,plain,
% 40.84/27.31 (~v140(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[32984, 21203, 32958])).
% 40.84/27.31 tff(32986,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB85) | v139(constB85) | (~v170(constB85)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB85) | v139(constB85) | (~v170(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(32987,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB85) | v139(constB85) | (~v170(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(32988,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB85) | v139(constB85) | (~v170(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[32987, 32986])).
% 40.84/27.31 tff(32989,plain,
% 40.84/27.31 (~v170(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[32988, 10647, 32985, 32981])).
% 40.84/27.31 tff(32990,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB85, bitIndex2)) | (~v141(constB85)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB85, bitIndex2)) | (~v141(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(32991,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB85, bitIndex2)) | (~v141(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(32992,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB85, bitIndex2)) | (~v141(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[32991, 32990])).
% 40.84/27.31 tff(32993,plain,
% 40.84/27.31 (~v141(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[32992, 10658, 32954])).
% 40.84/27.31 tff(32994,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB85) | v170(constB85) | (~v169(constB85)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB85) | v170(constB85) | (~v169(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(32995,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB85) | v170(constB85) | (~v169(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(32996,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB85) | v170(constB85) | (~v169(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[32995, 32994])).
% 40.84/27.31 tff(32997,plain,
% 40.84/27.31 (~v169(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[32996, 11040, 32993, 32989])).
% 40.84/27.31 tff(32998,plain,
% 40.84/27.31 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB85)) | v169(constB85) | (~v165(constB85)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB85)) | v169(constB85) | (~v165(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(32999,plain,
% 40.84/27.31 (((~v165(constB85)) | v169(constB85) | (~v162(constB85))) <=> ((~v162(constB85)) | v169(constB85) | (~v165(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33000,plain,
% 40.84/27.31 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB85)) | v169(constB85) | (~v162(constB85)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB85)) | v169(constB85) | (~v165(constB85))))),
% 40.84/27.31 inference(monotonicity,[status(thm)],[32999])).
% 40.84/27.31 tff(33001,plain,
% 40.84/27.31 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB85)) | v169(constB85) | (~v162(constB85)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB85)) | v169(constB85) | (~v165(constB85)))),
% 40.84/27.31 inference(transitivity,[status(thm)],[33000, 32998])).
% 40.84/27.31 tff(33002,plain,
% 40.84/27.31 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB85)) | v169(constB85) | (~v162(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33003,plain,
% 40.84/27.31 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB85)) | v169(constB85) | (~v165(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33002, 33001])).
% 40.84/27.31 tff(33004,plain,
% 40.84/27.31 ((~v162(constB85)) | (~v165(constB85))),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33003, 11073, 32997])).
% 40.84/27.31 tff(33005,plain,
% 40.84/27.31 (~v162(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33004, 32977])).
% 40.84/27.31 tff(33006,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB85) | (~v187(constB85)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB85) | (~v187(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33007,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB85) | (~v187(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33008,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB85) | (~v187(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33007, 33006])).
% 40.84/27.31 tff(33009,plain,
% 40.84/27.31 (~v187(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33008, 11087, 33005])).
% 40.84/27.31 tff(33010,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB85) | (~v185(constB85)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB85) | (~v185(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33011,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB85) | (~v185(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33012,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB85) | (~v185(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33011, 33010])).
% 40.84/27.31 tff(33013,plain,
% 40.84/27.31 (~v185(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33012, 11098, 33009])).
% 40.84/27.31 tff(33014,assumption,(v18(constB86)), introduced(assumption)).
% 40.84/27.31 tff(33015,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB86))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33016,plain,
% 40.84/27.31 ($false),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33015, 11110, 33014])).
% 40.84/27.31 tff(33017,plain,(~v18(constB86)), inference(lemma,lemma(discharge,[]))).
% 40.84/27.31 tff(33018,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33019,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33020,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33019, 33018])).
% 40.84/27.31 tff(33021,plain,
% 40.84/27.31 (v22(constB86)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33020, 11120, 11515])).
% 40.84/27.31 tff(33022,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB86)) | (~v22(constB86)) | v18(constB86))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB86)) | (~v22(constB86)) | v18(constB86))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33023,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB86)) | (~v22(constB86)) | v18(constB86))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33024,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB86)) | (~v22(constB86)) | v18(constB86)),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33023, 33022])).
% 40.84/27.31 tff(33025,plain,
% 40.84/27.31 ((~v19(constB86)) | v18(constB86)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33024, 11134, 33021])).
% 40.84/27.31 tff(33026,plain,
% 40.84/27.31 (~v19(constB86)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33025, 33017])).
% 40.84/27.31 tff(33027,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33028,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33029,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86)),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33028, 33027])).
% 40.84/27.31 tff(33030,plain,
% 40.84/27.31 (v13(constB86)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33029, 11149, 33026])).
% 40.84/27.31 tff(33031,plain,
% 40.84/27.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33032,plain,
% 40.84/27.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33033,plain,
% 40.84/27.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85)),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33032, 33031])).
% 40.84/27.31 tff(33034,plain,
% 40.84/27.31 ((~v13(constB86)) | v9(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33033, 11163, 11495])).
% 40.84/27.31 tff(33035,plain,
% 40.84/27.31 (v9(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33034, 33030])).
% 40.84/27.31 tff(33036,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v184(constB85))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB85) | (~v9(constB85)) | v184(constB85))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33037,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v184(constB85))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33038,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB85) | (~v9(constB85)) | v184(constB85)),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33037, 33036])).
% 40.84/27.31 tff(33039,plain,
% 40.84/27.31 ((~v9(constB85)) | v184(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33038, 11178, 11379])).
% 40.84/27.31 tff(33040,plain,
% 40.84/27.31 (v184(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33039, 33035])).
% 40.84/27.31 tff(33041,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB85) | (~v184(constB85)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB85) | (~v184(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33042,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB85) | (~v184(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33043,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB85) | (~v184(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33042, 33041])).
% 40.84/27.31 tff(33044,plain,
% 40.84/27.31 (v183(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33043, 11190, 33040])).
% 40.84/27.31 tff(33045,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB85)) | (~v183(constB85)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB85)) | (~v183(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33046,plain,
% 40.84/27.31 (((~v183(constB85)) | (~v181(constB85))) <=> ((~v181(constB85)) | (~v183(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33047,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB85)) | (~v181(constB85)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB85)) | (~v183(constB85))))),
% 40.84/27.31 inference(monotonicity,[status(thm)],[33046])).
% 40.84/27.31 tff(33048,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB85)) | (~v181(constB85)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB85)) | (~v183(constB85)))),
% 40.84/27.31 inference(transitivity,[status(thm)],[33047, 33045])).
% 40.84/27.31 tff(33049,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB85)) | (~v181(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33050,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB85)) | (~v183(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33049, 33048])).
% 40.84/27.31 tff(33051,plain,
% 40.84/27.31 (~v181(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33050, 11201, 33044])).
% 40.84/27.31 tff(33052,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB85) | v185(constB85) | (~v178(constB85)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB85) | v185(constB85) | (~v178(constB85)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33053,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB85) | v185(constB85) | (~v178(constB85)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33054,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB85) | v185(constB85) | (~v178(constB85))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33053, 33052])).
% 40.84/27.31 tff(33055,plain,
% 40.84/27.31 (v185(constB85) | (~v178(constB85))),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33054, 11215, 33051])).
% 40.84/27.31 tff(33056,plain,
% 40.84/27.31 (~v178(constB85)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33055, 33013])).
% 40.84/27.31 tff(33057,plain,
% 40.84/27.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33058,plain,
% 40.84/27.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33059,plain,
% 40.84/27.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33058, 33057])).
% 40.84/27.31 tff(33060,plain,
% 40.84/27.31 (v178(constB85) | (~v180(constB86))),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33059, 11230, 11495])).
% 40.84/27.31 tff(33061,plain,
% 40.84/27.31 (~v180(constB86)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33060, 33056])).
% 40.84/27.31 tff(33062,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB86) | (~v181(constB86)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB86) | (~v181(constB86)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33063,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB86) | (~v181(constB86)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33064,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB86) | (~v181(constB86))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33063, 33062])).
% 40.84/27.31 tff(33065,plain,
% 40.84/27.31 (~v181(constB86)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33064, 11242, 33061])).
% 40.84/27.31 tff(33066,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB86)) | (~v184(constB86)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB86)) | (~v184(constB86)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33067,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB86)) | (~v184(constB86)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33068,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB86)) | (~v184(constB86))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33067, 33066])).
% 40.84/27.31 tff(33069,plain,
% 40.84/27.31 (~v184(constB86)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33068, 11253, 11515])).
% 40.84/27.31 tff(33070,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB86) | (~v187(constB86)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB86) | (~v187(constB86)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33071,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB86) | (~v187(constB86)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33072,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB86) | (~v187(constB86))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33071, 33070])).
% 40.84/27.31 tff(33073,plain,
% 40.84/27.31 (~v187(constB86)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33072, 11264, 33069])).
% 40.84/27.31 tff(33074,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB86) | (~v185(constB86)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB86) | (~v185(constB86)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33075,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB86) | (~v185(constB86)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33076,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB86) | (~v185(constB86))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33075, 33074])).
% 40.84/27.31 tff(33077,plain,
% 40.84/27.31 (~v185(constB86)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33076, 11098, 33073])).
% 40.84/27.31 tff(33078,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB86) | v185(constB86) | (~v178(constB86)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB86) | v185(constB86) | (~v178(constB86)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33079,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB86) | v185(constB86) | (~v178(constB86)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33080,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB86) | v185(constB86) | (~v178(constB86))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33079, 33078])).
% 40.84/27.31 tff(33081,plain,
% 40.84/27.31 (v181(constB86) | (~v178(constB86))),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33080, 11215, 33077])).
% 40.84/27.31 tff(33082,plain,
% 40.84/27.31 (~v178(constB86)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33081, 33065])).
% 40.84/27.31 tff(33083,plain,
% 40.84/27.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33084,plain,
% 40.84/27.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33085,plain,
% 40.84/27.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33084, 33083])).
% 40.84/27.31 tff(33086,plain,
% 40.84/27.31 (v178(constB86) | (~v180(constB87))),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33085, 11230, 11587])).
% 40.84/27.31 tff(33087,plain,
% 40.84/27.31 (~v180(constB87)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33086, 33082])).
% 40.84/27.31 tff(33088,plain,
% 40.84/27.31 ($false),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33087, 32946])).
% 40.84/27.31 tff(33089,plain,((~(constB87 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.84/27.31 tff(33090,plain,
% 40.84/27.31 (~(constB87 = sK0_VarCurr)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33089, 10998])).
% 40.84/27.31 tff(33091,assumption,(constB35 = sK0_VarCurr), introduced(assumption)).
% 40.84/27.31 tff(33092,plain,
% 40.84/27.31 (v86(constB35) <=> v86(sK0_VarCurr)),
% 40.84/27.31 inference(monotonicity,[status(thm)],[33091])).
% 40.84/27.31 tff(33093,plain,
% 40.84/27.31 (v86(sK0_VarCurr) <=> v86(constB35)),
% 40.84/27.31 inference(symmetry,[status(thm)],[33092])).
% 40.84/27.31 tff(33094,plain,
% 40.84/27.31 ((~v86(sK0_VarCurr)) <=> (~v86(constB35))),
% 40.84/27.31 inference(monotonicity,[status(thm)],[33093])).
% 40.84/27.31 tff(33095,plain,
% 40.84/27.31 (~v86(constB35)),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[77, 33094])).
% 40.84/27.31 tff(33096,plain,
% 40.84/27.31 (((~![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))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33097,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB35, bitIndex2)) | v88(constB35, bitIndex2))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33098,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB35, bitIndex2)) | v88(constB35, bitIndex2)),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33097, 33096])).
% 40.84/27.31 tff(33099,plain,
% 40.84/27.31 (v88(constB35, bitIndex2)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33098, 10566, 4881])).
% 40.84/27.31 tff(33100,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v140(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB35, bitIndex2)) | (~v140(constB35)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33101,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v140(constB35)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33102,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB35, bitIndex2)) | (~v140(constB35))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33101, 33100])).
% 40.84/27.31 tff(33103,plain,
% 40.84/27.31 (~v140(constB35)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33102, 10577, 33099])).
% 40.84/27.31 tff(33104,plain,
% 40.84/27.31 (((~![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))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33105,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB35, bitIndex0)) | v88(constB35, bitIndex0))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33106,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB35, bitIndex0)) | v88(constB35, bitIndex0)),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33105, 33104])).
% 40.84/27.31 tff(33107,plain,
% 40.84/27.31 (v88(constB35, bitIndex0)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33106, 10622, 4946])).
% 40.84/27.31 tff(33108,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v139(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB35, bitIndex0)) | (~v139(constB35)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33109,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v139(constB35)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33110,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB35, bitIndex0)) | (~v139(constB35))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33109, 33108])).
% 40.84/27.31 tff(33111,plain,
% 40.84/27.31 (~v139(constB35)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33110, 10633, 33107])).
% 40.84/27.31 tff(33112,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v170(constB35)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB35) | v139(constB35) | (~v170(constB35)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33113,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v170(constB35)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33114,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB35) | v139(constB35) | (~v170(constB35))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33113, 33112])).
% 40.84/27.31 tff(33115,plain,
% 40.84/27.31 (~v170(constB35)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33114, 10647, 33111, 33103])).
% 40.84/27.31 tff(33116,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v141(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB35, bitIndex2)) | (~v141(constB35)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33117,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v141(constB35)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33118,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB35, bitIndex2)) | (~v141(constB35))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33117, 33116])).
% 40.84/27.31 tff(33119,plain,
% 40.84/27.31 (~v141(constB35)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33118, 10658, 33099])).
% 40.84/27.31 tff(33120,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB35) | v170(constB35) | (~v167(constB35)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB35) | v170(constB35) | (~v167(constB35)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33121,plain,
% 40.84/27.31 ((v141(constB35) | (~v167(constB35)) | v170(constB35)) <=> (v141(constB35) | v170(constB35) | (~v167(constB35)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33122,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB35) | (~v167(constB35)) | v170(constB35))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB35) | v170(constB35) | (~v167(constB35))))),
% 40.84/27.31 inference(monotonicity,[status(thm)],[33121])).
% 40.84/27.31 tff(33123,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB35) | (~v167(constB35)) | v170(constB35))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB35) | v170(constB35) | (~v167(constB35)))),
% 40.84/27.31 inference(transitivity,[status(thm)],[33122, 33120])).
% 40.84/27.31 tff(33124,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB35) | (~v167(constB35)) | v170(constB35))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33125,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB35) | v170(constB35) | (~v167(constB35))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33124, 33123])).
% 40.84/27.31 tff(33126,plain,
% 40.84/27.31 (~v167(constB35)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33125, 10672, 33119, 33115])).
% 40.84/27.31 tff(33127,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB35)) | (~v88(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB35)) | (~v88(constB35, bitIndex0)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33128,plain,
% 40.84/27.31 (((~v88(constB35, bitIndex0)) | (~v143(constB35))) <=> ((~v143(constB35)) | (~v88(constB35, bitIndex0)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33129,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v143(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB35)) | (~v88(constB35, bitIndex0))))),
% 40.84/27.31 inference(monotonicity,[status(thm)],[33128])).
% 40.84/27.31 tff(33130,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v143(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB35)) | (~v88(constB35, bitIndex0)))),
% 40.84/27.31 inference(transitivity,[status(thm)],[33129, 33127])).
% 40.84/27.31 tff(33131,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v143(constB35)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33132,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB35)) | (~v88(constB35, bitIndex0))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33131, 33130])).
% 40.84/27.31 tff(33133,plain,
% 40.84/27.31 (~v143(constB35)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33132, 10686, 33107])).
% 40.84/27.31 tff(33134,plain,
% 40.84/27.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v144(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB35, bitIndex0)) | (~v144(constB35)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33135,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v144(constB35)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33136,plain,
% 40.84/27.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB35, bitIndex0)) | (~v144(constB35))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33135, 33134])).
% 40.84/27.31 tff(33137,plain,
% 40.84/27.31 (~v144(constB35)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33136, 10697, 33107])).
% 40.84/27.31 tff(33138,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB35) | v144(constB35) | (~v142(constB35)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB35) | v144(constB35) | (~v142(constB35)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33139,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB35) | v144(constB35) | (~v142(constB35)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33140,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB35) | v144(constB35) | (~v142(constB35))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33139, 33138])).
% 40.84/27.31 tff(33141,plain,
% 40.84/27.31 (~v142(constB35)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33140, 10711, 33137, 33133])).
% 40.84/27.31 tff(33142,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB35) | (~v166(constB35)) | v167(constB35))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB35) | (~v166(constB35)) | v167(constB35))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33143,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB35) | (~v166(constB35)) | v167(constB35))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33144,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB35) | (~v166(constB35)) | v167(constB35)),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33143, 33142])).
% 40.84/27.31 tff(33145,plain,
% 40.84/27.31 (~v166(constB35)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33144, 10725, 33141, 33126])).
% 40.84/27.31 tff(33146,plain,
% 40.84/27.31 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB35) | v166(constB35))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB35) | v166(constB35))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33147,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB35) | v166(constB35))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33148,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB35) | v166(constB35)),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33147, 33146])).
% 40.84/27.31 tff(33149,plain,
% 40.84/27.31 (v148(constB35)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33148, 10739, 33145])).
% 40.84/27.31 tff(33150,plain,
% 40.84/27.31 (((~![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)))),
% 40.84/27.31 inference(rewrite,[status(thm)],[])).
% 40.84/27.31 tff(33151,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB35, bitIndex1) | (~v88(constB35, bitIndex1)))),
% 40.84/27.31 inference(quant_inst,[status(thm)],[])).
% 40.84/27.31 tff(33152,plain,
% 40.84/27.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB35, bitIndex1) | (~v88(constB35, bitIndex1))),
% 40.84/27.31 inference(modus_ponens,[status(thm)],[33151, 33150])).
% 40.84/27.31 tff(33153,plain,
% 40.84/27.31 (~v88(constB35, bitIndex1)),
% 40.84/27.31 inference(unit_resolution,[status(thm)],[33152, 10784, 4915])).
% 40.84/27.32 tff(33154,plain,
% 40.84/27.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB35, bitIndex1) | (~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex0)) | v147(constB35))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex0)) | v147(constB35))),
% 40.84/27.32 inference(rewrite,[status(thm)],[])).
% 40.84/27.32 tff(33155,plain,
% 40.84/27.32 (((~v88(constB35, bitIndex2)) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)) | v147(constB35)) <=> (v88(constB35, bitIndex1) | (~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex0)) | v147(constB35))),
% 40.84/27.32 inference(rewrite,[status(thm)],[])).
% 40.84/27.32 tff(33156,plain,
% 40.84/27.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB35, bitIndex2)) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)) | v147(constB35))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB35, bitIndex1) | (~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex0)) | v147(constB35)))),
% 40.84/27.32 inference(monotonicity,[status(thm)],[33155])).
% 40.84/27.32 tff(33157,plain,
% 40.84/27.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB35, bitIndex2)) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)) | v147(constB35))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex0)) | v147(constB35))),
% 40.84/27.32 inference(transitivity,[status(thm)],[33156, 33154])).
% 40.84/27.32 tff(33158,plain,
% 40.84/27.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB35, bitIndex2)) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)) | v147(constB35))),
% 40.84/27.32 inference(quant_inst,[status(thm)],[])).
% 40.84/27.32 tff(33159,plain,
% 40.84/27.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex0)) | v147(constB35)),
% 40.84/27.32 inference(modus_ponens,[status(thm)],[33158, 33157])).
% 40.84/27.32 tff(33160,plain,
% 40.84/27.32 (v147(constB35)),
% 40.84/27.32 inference(unit_resolution,[status(thm)],[33159, 10798, 33107, 33099, 33153])).
% 40.84/27.32 tff(33161,plain,
% 40.84/27.32 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB35) | (~v147(constB35)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB35) | (~v147(constB35)))),
% 40.84/27.32 inference(rewrite,[status(thm)],[])).
% 40.84/27.32 tff(33162,plain,
% 40.84/27.32 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB35) | (~v147(constB35)))),
% 40.84/27.32 inference(quant_inst,[status(thm)],[])).
% 40.84/27.32 tff(33163,plain,
% 40.84/27.32 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB35) | (~v147(constB35))),
% 40.84/27.32 inference(modus_ponens,[status(thm)],[33162, 33161])).
% 40.84/27.32 tff(33164,plain,
% 40.84/27.32 (v145(constB35)),
% 40.84/27.32 inference(unit_resolution,[status(thm)],[33163, 10812, 33160])).
% 40.84/27.32 tff(33165,plain,
% 40.84/27.32 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB35) | (~v145(constB35)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB35) | (~v145(constB35)))),
% 40.84/27.32 inference(rewrite,[status(thm)],[])).
% 40.84/27.32 tff(33166,plain,
% 40.84/27.32 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB35) | (~v145(constB35)))),
% 40.84/27.32 inference(quant_inst,[status(thm)],[])).
% 40.84/27.32 tff(33167,plain,
% 40.84/27.32 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB35) | (~v145(constB35))),
% 40.84/27.32 inference(modus_ponens,[status(thm)],[33166, 33165])).
% 40.84/27.32 tff(33168,plain,
% 40.84/27.32 (v165(constB35)),
% 40.84/27.32 inference(unit_resolution,[status(thm)],[33167, 10823, 33164])).
% 40.84/27.32 tff(33169,plain,
% 40.84/27.32 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB35) | (~v165(constB35)) | (~v148(constB35)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB35) | (~v165(constB35)) | (~v148(constB35)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33170,plain,
% 40.88/27.32 (((~v148(constB35)) | (~v165(constB35)) | v86(constB35)) <=> (v86(constB35) | (~v165(constB35)) | (~v148(constB35)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33171,plain,
% 40.88/27.32 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB35)) | (~v165(constB35)) | v86(constB35))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB35) | (~v165(constB35)) | (~v148(constB35))))),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33170])).
% 40.88/27.32 tff(33172,plain,
% 40.88/27.32 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB35)) | (~v165(constB35)) | v86(constB35))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB35) | (~v165(constB35)) | (~v148(constB35)))),
% 40.88/27.32 inference(transitivity,[status(thm)],[33171, 33169])).
% 40.88/27.32 tff(33173,plain,
% 40.88/27.32 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB35)) | (~v165(constB35)) | v86(constB35))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33174,plain,
% 40.88/27.32 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB35) | (~v165(constB35)) | (~v148(constB35))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33173, 33172])).
% 40.88/27.32 tff(33175,plain,
% 40.88/27.32 (v86(constB35) | (~v148(constB35))),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33174, 10837, 33168])).
% 40.88/27.32 tff(33176,plain,
% 40.88/27.32 (v86(constB35)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33175, 33149])).
% 40.88/27.32 tff(33177,plain,
% 40.88/27.32 ($false),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33176, 33095])).
% 40.88/27.32 tff(33178,plain,((~(constB35 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.88/27.32 tff(33179,plain,
% 40.88/27.32 (~(constB35 = sK0_VarCurr)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33178, 72])).
% 40.88/27.32 tff(33180,assumption,(constB154 = sK0_VarCurr), introduced(assumption)).
% 40.88/27.32 tff(33181,plain,
% 40.88/27.32 (v1(constB154) <=> v1(sK0_VarCurr)),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33180])).
% 40.88/27.32 tff(33182,plain,
% 40.88/27.32 (v1(sK0_VarCurr) <=> v1(constB154)),
% 40.88/27.32 inference(symmetry,[status(thm)],[33181])).
% 40.88/27.32 tff(33183,plain,
% 40.88/27.32 ((~v1(sK0_VarCurr)) <=> (~v1(constB154))),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33182])).
% 40.88/27.32 tff(33184,plain,
% 40.88/27.32 (~v1(constB154)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[21332, 33183])).
% 40.88/27.32 tff(33185,plain,
% 40.88/27.32 ($false),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[19906, 33184])).
% 40.88/27.32 tff(33186,plain,((~(constB154 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.88/27.32 tff(33187,plain,
% 40.88/27.32 (~(constB154 = sK0_VarCurr)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33186, 21327])).
% 40.88/27.32 tff(33188,assumption,(constB85 = sK0_VarCurr), introduced(assumption)).
% 40.88/27.32 tff(33189,plain,
% 40.88/27.32 (v180(constB85) <=> v180(sK0_VarCurr)),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33188])).
% 40.88/27.32 tff(33190,plain,
% 40.88/27.32 (v180(sK0_VarCurr) <=> v180(constB85)),
% 40.88/27.32 inference(symmetry,[status(thm)],[33189])).
% 40.88/27.32 tff(33191,plain,
% 40.88/27.32 (v180(constB85)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[11002, 33190])).
% 40.88/27.32 tff(33192,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB83) | v170(constB83) | (~v169(constB83)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB83) | v170(constB83) | (~v169(constB83)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33193,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB83) | v170(constB83) | (~v169(constB83)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33194,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB83) | v170(constB83) | (~v169(constB83))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33193, 33192])).
% 40.88/27.32 tff(33195,plain,
% 40.88/27.32 (~v169(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33194, 11040, 10662, 10651])).
% 40.88/27.32 tff(33196,plain,
% 40.88/27.32 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB83)) | v169(constB83) | (~v165(constB83)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB83)) | v169(constB83) | (~v165(constB83)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33197,plain,
% 40.88/27.32 (((~v165(constB83)) | v169(constB83) | (~v162(constB83))) <=> ((~v162(constB83)) | v169(constB83) | (~v165(constB83)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33198,plain,
% 40.88/27.32 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB83)) | v169(constB83) | (~v162(constB83)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB83)) | v169(constB83) | (~v165(constB83))))),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33197])).
% 40.88/27.32 tff(33199,plain,
% 40.88/27.32 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB83)) | v169(constB83) | (~v162(constB83)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB83)) | v169(constB83) | (~v165(constB83)))),
% 40.88/27.32 inference(transitivity,[status(thm)],[33198, 33196])).
% 40.88/27.32 tff(33200,plain,
% 40.88/27.32 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB83)) | v169(constB83) | (~v162(constB83)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33201,plain,
% 40.88/27.32 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB83)) | v169(constB83) | (~v165(constB83))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33200, 33199])).
% 40.88/27.32 tff(33202,plain,
% 40.88/27.32 (~v162(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33201, 11073, 10827, 33195])).
% 40.88/27.32 tff(33203,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB83) | (~v187(constB83)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB83) | (~v187(constB83)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33204,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB83) | (~v187(constB83)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33205,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB83) | (~v187(constB83))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33204, 33203])).
% 40.88/27.32 tff(33206,plain,
% 40.88/27.32 (~v187(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33205, 11087, 33202])).
% 40.88/27.32 tff(33207,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB83) | (~v185(constB83)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB83) | (~v185(constB83)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33208,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB83) | (~v185(constB83)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33209,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB83) | (~v185(constB83))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33208, 33207])).
% 40.88/27.32 tff(33210,plain,
% 40.88/27.32 (~v185(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33209, 11098, 33206])).
% 40.88/27.32 tff(33211,assumption,(v18(constB84)), introduced(assumption)).
% 40.88/27.32 tff(33212,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB84))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33213,plain,
% 40.88/27.32 ($false),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33212, 11110, 33211])).
% 40.88/27.32 tff(33214,plain,(~v18(constB84)), inference(lemma,lemma(discharge,[]))).
% 40.88/27.32 tff(33215,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33216,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33217,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33216, 33215])).
% 40.88/27.32 tff(33218,plain,
% 40.88/27.32 (v22(constB84)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33217, 11120, 11340])).
% 40.88/27.32 tff(33219,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB84)) | (~v22(constB84)) | v18(constB84))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB84)) | (~v22(constB84)) | v18(constB84))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33220,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB84)) | (~v22(constB84)) | v18(constB84))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33221,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB84)) | (~v22(constB84)) | v18(constB84)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33220, 33219])).
% 40.88/27.32 tff(33222,plain,
% 40.88/27.32 ((~v19(constB84)) | v18(constB84)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33221, 11134, 33218])).
% 40.88/27.32 tff(33223,plain,
% 40.88/27.32 (~v19(constB84)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33222, 33214])).
% 40.88/27.32 tff(33224,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33225,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33226,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33225, 33224])).
% 40.88/27.32 tff(33227,plain,
% 40.88/27.32 (v13(constB84)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33226, 11149, 33223])).
% 40.88/27.32 tff(33228,plain,
% 40.88/27.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33229,plain,
% 40.88/27.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33230,plain,
% 40.88/27.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33229, 33228])).
% 40.88/27.32 tff(33231,plain,
% 40.88/27.32 ((~v13(constB84)) | v9(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33230, 11163, 11320])).
% 40.88/27.32 tff(33232,plain,
% 40.88/27.32 (v9(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33231, 33227])).
% 40.88/27.32 tff(33233,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v184(constB83))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB83) | (~v9(constB83)) | v184(constB83))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33234,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v184(constB83))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33235,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB83) | (~v9(constB83)) | v184(constB83)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33234, 33233])).
% 40.88/27.32 tff(33236,plain,
% 40.88/27.32 ((~v9(constB83)) | v184(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33235, 11178, 10532])).
% 40.88/27.32 tff(33237,plain,
% 40.88/27.32 (v184(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33236, 33232])).
% 40.88/27.32 tff(33238,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB83) | (~v184(constB83)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB83) | (~v184(constB83)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33239,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB83) | (~v184(constB83)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33240,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB83) | (~v184(constB83))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33239, 33238])).
% 40.88/27.32 tff(33241,plain,
% 40.88/27.32 (v183(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33240, 11190, 33237])).
% 40.88/27.32 tff(33242,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB83)) | (~v183(constB83)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB83)) | (~v183(constB83)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33243,plain,
% 40.88/27.32 (((~v183(constB83)) | (~v181(constB83))) <=> ((~v181(constB83)) | (~v183(constB83)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33244,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB83)) | (~v181(constB83)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB83)) | (~v183(constB83))))),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33243])).
% 40.88/27.32 tff(33245,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB83)) | (~v181(constB83)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB83)) | (~v183(constB83)))),
% 40.88/27.32 inference(transitivity,[status(thm)],[33244, 33242])).
% 40.88/27.32 tff(33246,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB83)) | (~v181(constB83)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33247,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB83)) | (~v183(constB83))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33246, 33245])).
% 40.88/27.32 tff(33248,plain,
% 40.88/27.32 (~v181(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33247, 11201, 33241])).
% 40.88/27.32 tff(33249,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB83) | v185(constB83) | (~v178(constB83)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB83) | v185(constB83) | (~v178(constB83)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33250,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB83) | v185(constB83) | (~v178(constB83)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33251,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB83) | v185(constB83) | (~v178(constB83))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33250, 33249])).
% 40.88/27.32 tff(33252,plain,
% 40.88/27.32 (v185(constB83) | (~v178(constB83))),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33251, 11215, 33248])).
% 40.88/27.32 tff(33253,plain,
% 40.88/27.32 (~v178(constB83)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33252, 33210])).
% 40.88/27.32 tff(33254,plain,
% 40.88/27.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33255,plain,
% 40.88/27.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33256,plain,
% 40.88/27.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33255, 33254])).
% 40.88/27.32 tff(33257,plain,
% 40.88/27.32 (v178(constB83) | (~v180(constB84))),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33256, 11230, 11320])).
% 40.88/27.32 tff(33258,plain,
% 40.88/27.32 (~v180(constB84)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33257, 33253])).
% 40.88/27.32 tff(33259,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB84) | (~v181(constB84)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB84) | (~v181(constB84)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33260,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB84) | (~v181(constB84)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33261,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB84) | (~v181(constB84))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33260, 33259])).
% 40.88/27.32 tff(33262,plain,
% 40.88/27.32 (~v181(constB84)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33261, 11242, 33258])).
% 40.88/27.32 tff(33263,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB84)) | (~v184(constB84)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB84)) | (~v184(constB84)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33264,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB84)) | (~v184(constB84)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33265,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB84)) | (~v184(constB84))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33264, 33263])).
% 40.88/27.32 tff(33266,plain,
% 40.88/27.32 (~v184(constB84)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33265, 11253, 11340])).
% 40.88/27.32 tff(33267,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB84) | (~v187(constB84)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB84) | (~v187(constB84)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33268,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB84) | (~v187(constB84)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33269,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB84) | (~v187(constB84))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33268, 33267])).
% 40.88/27.32 tff(33270,plain,
% 40.88/27.32 (~v187(constB84)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33269, 11264, 33266])).
% 40.88/27.32 tff(33271,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB84) | (~v185(constB84)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB84) | (~v185(constB84)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33272,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB84) | (~v185(constB84)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33273,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB84) | (~v185(constB84))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33272, 33271])).
% 40.88/27.32 tff(33274,plain,
% 40.88/27.32 (~v185(constB84)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33273, 11098, 33270])).
% 40.88/27.32 tff(33275,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB84) | v185(constB84) | (~v178(constB84)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB84) | v185(constB84) | (~v178(constB84)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33276,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB84) | v185(constB84) | (~v178(constB84)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33277,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB84) | v185(constB84) | (~v178(constB84))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33276, 33275])).
% 40.88/27.32 tff(33278,plain,
% 40.88/27.32 (v181(constB84) | (~v178(constB84))),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33277, 11215, 33274])).
% 40.88/27.32 tff(33279,plain,
% 40.88/27.32 (~v178(constB84)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33278, 33262])).
% 40.88/27.32 tff(33280,plain,
% 40.88/27.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33281,plain,
% 40.88/27.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33282,plain,
% 40.88/27.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33281, 33280])).
% 40.88/27.32 tff(33283,plain,
% 40.88/27.32 (v178(constB84) | (~v180(constB85))),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33282, 11230, 11382])).
% 40.88/27.32 tff(33284,plain,
% 40.88/27.32 (~v180(constB85)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33283, 33279])).
% 40.88/27.32 tff(33285,plain,
% 40.88/27.32 ($false),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33284, 33191])).
% 40.88/27.32 tff(33286,plain,((~(constB85 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.88/27.32 tff(33287,plain,
% 40.88/27.32 (~(constB85 = sK0_VarCurr)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33286, 10998])).
% 40.88/27.32 tff(33288,assumption,(constB82 = sK0_VarCurr), introduced(assumption)).
% 40.88/27.32 tff(33289,plain,
% 40.88/27.32 (v1(constB82) <=> v1(sK0_VarCurr)),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33288])).
% 40.88/27.32 tff(33290,plain,
% 40.88/27.32 (v1(sK0_VarCurr) <=> v1(constB82)),
% 40.88/27.32 inference(symmetry,[status(thm)],[33289])).
% 40.88/27.32 tff(33291,plain,
% 40.88/27.32 ((~v1(sK0_VarCurr)) <=> (~v1(constB82))),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33290])).
% 40.88/27.32 tff(33292,plain,
% 40.88/27.32 (~v1(constB82)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[21332, 33291])).
% 40.88/27.32 tff(33293,plain,
% 40.88/27.32 ($false),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[10493, 33292])).
% 40.88/27.32 tff(33294,plain,((~(constB82 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.88/27.32 tff(33295,plain,
% 40.88/27.32 (~(constB82 = sK0_VarCurr)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33294, 21327])).
% 40.88/27.32 tff(33296,assumption,(constB134 = sK0_VarCurr), introduced(assumption)).
% 40.88/27.32 tff(33297,plain,
% 40.88/27.32 (v1(constB134) <=> v1(sK0_VarCurr)),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33296])).
% 40.88/27.32 tff(33298,plain,
% 40.88/27.32 (v1(sK0_VarCurr) <=> v1(constB134)),
% 40.88/27.32 inference(symmetry,[status(thm)],[33297])).
% 40.88/27.32 tff(33299,plain,
% 40.88/27.32 ((~v1(sK0_VarCurr)) <=> (~v1(constB134))),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33298])).
% 40.88/27.32 tff(33300,plain,
% 40.88/27.32 (~v1(constB134)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[21332, 33299])).
% 40.88/27.32 tff(33301,plain,
% 40.88/27.32 ($false),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[17571, 33300])).
% 40.88/27.32 tff(33302,plain,((~(constB134 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.88/27.32 tff(33303,plain,
% 40.88/27.32 (~(constB134 = sK0_VarCurr)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33302, 21327])).
% 40.88/27.32 tff(33304,assumption,(constB60 = sK0_VarCurr), introduced(assumption)).
% 40.88/27.32 tff(33305,plain,
% 40.88/27.32 (v1(constB60) <=> v1(sK0_VarCurr)),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33304])).
% 40.88/27.32 tff(33306,plain,
% 40.88/27.32 (v1(sK0_VarCurr) <=> v1(constB60)),
% 40.88/27.32 inference(symmetry,[status(thm)],[33305])).
% 40.88/27.32 tff(33307,plain,
% 40.88/27.32 ((~v1(sK0_VarCurr)) <=> (~v1(constB60))),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33306])).
% 40.88/27.32 tff(33308,plain,
% 40.88/27.32 (~v1(constB60)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[21332, 33307])).
% 40.88/27.32 tff(33309,plain,
% 40.88/27.32 ($false),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[7945, 33308])).
% 40.88/27.32 tff(33310,plain,((~(constB60 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.88/27.32 tff(33311,plain,
% 40.88/27.32 (~(constB60 = sK0_VarCurr)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33310, 21327])).
% 40.88/27.32 tff(33312,assumption,(constB92 = sK0_VarCurr), introduced(assumption)).
% 40.88/27.32 tff(33313,plain,
% 40.88/27.32 (v1(constB92) <=> v1(sK0_VarCurr)),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33312])).
% 40.88/27.32 tff(33314,plain,
% 40.88/27.32 (v1(sK0_VarCurr) <=> v1(constB92)),
% 40.88/27.32 inference(symmetry,[status(thm)],[33313])).
% 40.88/27.32 tff(33315,plain,
% 40.88/27.32 ((~v1(sK0_VarCurr)) <=> (~v1(constB92))),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33314])).
% 40.88/27.32 tff(33316,plain,
% 40.88/27.32 (~v1(constB92)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[21332, 33315])).
% 40.88/27.32 tff(33317,plain,
% 40.88/27.32 ($false),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[12171, 33316])).
% 40.88/27.32 tff(33318,plain,((~(constB92 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.88/27.32 tff(33319,plain,
% 40.88/27.32 (~(constB92 = sK0_VarCurr)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33318, 21327])).
% 40.88/27.32 tff(33320,assumption,(constB39 = sK0_VarCurr), introduced(assumption)).
% 40.88/27.32 tff(33321,plain,
% 40.88/27.32 (v180(constB39) <=> v180(sK0_VarCurr)),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33320])).
% 40.88/27.32 tff(33322,plain,
% 40.88/27.32 (v180(sK0_VarCurr) <=> v180(constB39)),
% 40.88/27.32 inference(symmetry,[status(thm)],[33321])).
% 40.88/27.32 tff(33323,plain,
% 40.88/27.32 (v180(constB39)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[11002, 33322])).
% 40.88/27.32 tff(33324,plain,
% 40.88/27.32 (((~![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)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33325,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB37, bitIndex0) | (~v88(constB37, bitIndex0)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33326,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB37, bitIndex0) | (~v88(constB37, bitIndex0))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33325, 33324])).
% 40.88/27.32 tff(33327,plain,
% 40.88/27.32 (~v88(constB37, bitIndex0)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33326, 14645, 5122])).
% 40.88/27.32 tff(33328,plain,
% 40.88/27.32 (((~![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))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33329,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex2)) | v88(constB37, bitIndex2))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33330,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex2)) | v88(constB37, bitIndex2)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33329, 33328])).
% 40.88/27.32 tff(33331,plain,
% 40.88/27.32 (v88(constB37, bitIndex2)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33330, 10566, 5057])).
% 40.88/27.32 tff(33332,plain,
% 40.88/27.32 (((~![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))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33333,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB37, bitIndex1)) | v88(constB37, bitIndex1))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33334,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB37, bitIndex1)) | v88(constB37, bitIndex1)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33333, 33332])).
% 40.88/27.32 tff(33335,plain,
% 40.88/27.32 (v88(constB37, bitIndex1)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33334, 21131, 5088])).
% 40.88/27.32 tff(33336,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB37, bitIndex0) | (~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v144(constB37))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB37, bitIndex0) | (~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v144(constB37))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33337,plain,
% 40.88/27.32 (((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37)) <=> (v88(constB37, bitIndex0) | (~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v144(constB37))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33338,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB37, bitIndex0) | (~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v144(constB37)))),
% 40.88/27.32 inference(monotonicity,[status(thm)],[33337])).
% 40.88/27.32 tff(33339,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB37, bitIndex0) | (~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v144(constB37))),
% 40.88/27.32 inference(transitivity,[status(thm)],[33338, 33336])).
% 40.88/27.32 tff(33340,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33341,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB37, bitIndex0) | (~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v144(constB37)),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33340, 33339])).
% 40.88/27.32 tff(33342,plain,
% 40.88/27.32 (v144(constB37)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33341, 21145, 33335, 33331, 33327])).
% 40.88/27.32 tff(33343,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB37) | (~v144(constB37)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB37) | (~v144(constB37)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33344,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB37) | (~v144(constB37)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33345,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB37) | (~v144(constB37))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33344, 33343])).
% 40.88/27.32 tff(33346,plain,
% 40.88/27.32 (v142(constB37)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33345, 21159, 33342])).
% 40.88/27.32 tff(33347,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB37) | (~v142(constB37)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB37) | (~v142(constB37)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33348,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB37) | (~v142(constB37)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33349,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB37) | (~v142(constB37))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33348, 33347])).
% 40.88/27.32 tff(33350,plain,
% 40.88/27.32 (v166(constB37)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33349, 21170, 33346])).
% 40.88/27.32 tff(33351,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB37) | (~v166(constB37)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB37) | (~v166(constB37)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33352,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB37) | (~v166(constB37)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33353,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB37) | (~v166(constB37))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33352, 33351])).
% 40.88/27.32 tff(33354,plain,
% 40.88/27.32 (v165(constB37)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33353, 21181, 33350])).
% 40.88/27.32 tff(33355,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB37, bitIndex1)) | (~v139(constB37)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB37, bitIndex1)) | (~v139(constB37)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33356,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB37, bitIndex1)) | (~v139(constB37)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33357,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB37, bitIndex1)) | (~v139(constB37))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33356, 33355])).
% 40.88/27.32 tff(33358,plain,
% 40.88/27.32 (~v139(constB37)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33357, 21192, 33335])).
% 40.88/27.32 tff(33359,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB37, bitIndex1)) | (~v140(constB37)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB37, bitIndex1)) | (~v140(constB37)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33360,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB37, bitIndex1)) | (~v140(constB37)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33361,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB37, bitIndex1)) | (~v140(constB37))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33360, 33359])).
% 40.88/27.32 tff(33362,plain,
% 40.88/27.32 (~v140(constB37)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33361, 21203, 33335])).
% 40.88/27.32 tff(33363,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB37) | v139(constB37) | (~v170(constB37)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB37) | v139(constB37) | (~v170(constB37)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33364,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB37) | v139(constB37) | (~v170(constB37)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33365,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB37) | v139(constB37) | (~v170(constB37))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33364, 33363])).
% 40.88/27.32 tff(33366,plain,
% 40.88/27.32 (~v170(constB37)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33365, 10647, 33362, 33358])).
% 40.88/27.32 tff(33367,plain,
% 40.88/27.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB37, bitIndex2)) | (~v141(constB37)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB37, bitIndex2)) | (~v141(constB37)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33368,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB37, bitIndex2)) | (~v141(constB37)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33369,plain,
% 40.88/27.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB37, bitIndex2)) | (~v141(constB37))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33368, 33367])).
% 40.88/27.32 tff(33370,plain,
% 40.88/27.32 (~v141(constB37)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33369, 10658, 33331])).
% 40.88/27.32 tff(33371,plain,
% 40.88/27.32 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB37) | v170(constB37) | (~v169(constB37)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB37) | v170(constB37) | (~v169(constB37)))),
% 40.88/27.32 inference(rewrite,[status(thm)],[])).
% 40.88/27.32 tff(33372,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB37) | v170(constB37) | (~v169(constB37)))),
% 40.88/27.32 inference(quant_inst,[status(thm)],[])).
% 40.88/27.32 tff(33373,plain,
% 40.88/27.32 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB37) | v170(constB37) | (~v169(constB37))),
% 40.88/27.32 inference(modus_ponens,[status(thm)],[33372, 33371])).
% 40.88/27.32 tff(33374,plain,
% 40.88/27.32 (~v169(constB37)),
% 40.88/27.32 inference(unit_resolution,[status(thm)],[33373, 11040, 33370, 33366])).
% 40.88/27.32 tff(33375,plain,
% 40.88/27.32 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB37)) | v169(constB37) | (~v165(constB37)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB37)) | v169(constB37) | (~v165(constB37)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33376,plain,
% 40.88/27.33 (((~v165(constB37)) | v169(constB37) | (~v162(constB37))) <=> ((~v162(constB37)) | v169(constB37) | (~v165(constB37)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33377,plain,
% 40.88/27.33 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB37)) | v169(constB37) | (~v162(constB37)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB37)) | v169(constB37) | (~v165(constB37))))),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33376])).
% 40.88/27.33 tff(33378,plain,
% 40.88/27.33 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB37)) | v169(constB37) | (~v162(constB37)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB37)) | v169(constB37) | (~v165(constB37)))),
% 40.88/27.33 inference(transitivity,[status(thm)],[33377, 33375])).
% 40.88/27.33 tff(33379,plain,
% 40.88/27.33 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB37)) | v169(constB37) | (~v162(constB37)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33380,plain,
% 40.88/27.33 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB37)) | v169(constB37) | (~v165(constB37))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33379, 33378])).
% 40.88/27.33 tff(33381,plain,
% 40.88/27.33 ((~v162(constB37)) | (~v165(constB37))),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33380, 11073, 33374])).
% 40.88/27.33 tff(33382,plain,
% 40.88/27.33 (~v162(constB37)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33381, 33354])).
% 40.88/27.33 tff(33383,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB37) | (~v187(constB37)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB37) | (~v187(constB37)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33384,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB37) | (~v187(constB37)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33385,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB37) | (~v187(constB37))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33384, 33383])).
% 40.88/27.33 tff(33386,plain,
% 40.88/27.33 (~v187(constB37)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33385, 11087, 33382])).
% 40.88/27.33 tff(33387,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB37) | (~v185(constB37)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB37) | (~v185(constB37)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33388,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB37) | (~v185(constB37)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33389,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB37) | (~v185(constB37))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33388, 33387])).
% 40.88/27.33 tff(33390,plain,
% 40.88/27.33 (~v185(constB37)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33389, 11098, 33386])).
% 40.88/27.33 tff(33391,assumption,(v18(constB38)), introduced(assumption)).
% 40.88/27.33 tff(33392,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB38))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33393,plain,
% 40.88/27.33 ($false),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33392, 11110, 33391])).
% 40.88/27.33 tff(33394,plain,(~v18(constB38)), inference(lemma,lemma(discharge,[]))).
% 40.88/27.33 tff(33395,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33396,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33397,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33396, 33395])).
% 40.88/27.33 tff(33398,plain,
% 40.88/27.33 (v22(constB38)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33397, 11120, 5166])).
% 40.88/27.33 tff(33399,plain,
% 40.88/27.33 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB38)) | (~v22(constB38)) | v18(constB38))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB38)) | (~v22(constB38)) | v18(constB38))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33400,plain,
% 40.88/27.33 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB38)) | (~v22(constB38)) | v18(constB38))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33401,plain,
% 40.88/27.33 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB38)) | (~v22(constB38)) | v18(constB38)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33400, 33399])).
% 40.88/27.33 tff(33402,plain,
% 40.88/27.33 ((~v19(constB38)) | v18(constB38)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33401, 11134, 33398])).
% 40.88/27.33 tff(33403,plain,
% 40.88/27.33 (~v19(constB38)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33402, 33394])).
% 40.88/27.33 tff(33404,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33405,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33406,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33405, 33404])).
% 40.88/27.33 tff(33407,plain,
% 40.88/27.33 (v13(constB38)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33406, 11149, 33403])).
% 40.88/27.33 tff(33408,plain,
% 40.88/27.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33409,plain,
% 40.88/27.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33410,plain,
% 40.88/27.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33409, 33408])).
% 40.88/27.33 tff(33411,plain,
% 40.88/27.33 ((~v13(constB38)) | v9(constB37)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33410, 11163, 5146])).
% 40.88/27.33 tff(33412,plain,
% 40.88/27.33 (v9(constB37)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33411, 33407])).
% 40.88/27.33 tff(33413,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v184(constB37))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB37) | (~v9(constB37)) | v184(constB37))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33414,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v184(constB37))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33415,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB37) | (~v9(constB37)) | v184(constB37)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33414, 33413])).
% 40.88/27.33 tff(33416,plain,
% 40.88/27.33 ((~v9(constB37)) | v184(constB37)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33415, 11178, 5033])).
% 40.88/27.33 tff(33417,plain,
% 40.88/27.33 (v184(constB37)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33416, 33412])).
% 40.88/27.33 tff(33418,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB37) | (~v184(constB37)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB37) | (~v184(constB37)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33419,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB37) | (~v184(constB37)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33420,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB37) | (~v184(constB37))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33419, 33418])).
% 40.88/27.33 tff(33421,plain,
% 40.88/27.33 (v183(constB37)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33420, 11190, 33417])).
% 40.88/27.33 tff(33422,plain,
% 40.88/27.33 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB37)) | (~v183(constB37)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB37)) | (~v183(constB37)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33423,plain,
% 40.88/27.33 (((~v183(constB37)) | (~v181(constB37))) <=> ((~v181(constB37)) | (~v183(constB37)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33424,plain,
% 40.88/27.33 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB37)) | (~v181(constB37)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB37)) | (~v183(constB37))))),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33423])).
% 40.88/27.33 tff(33425,plain,
% 40.88/27.33 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB37)) | (~v181(constB37)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB37)) | (~v183(constB37)))),
% 40.88/27.33 inference(transitivity,[status(thm)],[33424, 33422])).
% 40.88/27.33 tff(33426,plain,
% 40.88/27.33 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB37)) | (~v181(constB37)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33427,plain,
% 40.88/27.33 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB37)) | (~v183(constB37))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33426, 33425])).
% 40.88/27.33 tff(33428,plain,
% 40.88/27.33 (~v181(constB37)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33427, 11201, 33421])).
% 40.88/27.33 tff(33429,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB37) | v185(constB37) | (~v178(constB37)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB37) | v185(constB37) | (~v178(constB37)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33430,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB37) | v185(constB37) | (~v178(constB37)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33431,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB37) | v185(constB37) | (~v178(constB37))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33430, 33429])).
% 40.88/27.33 tff(33432,plain,
% 40.88/27.33 (v185(constB37) | (~v178(constB37))),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33431, 11215, 33428])).
% 40.88/27.33 tff(33433,plain,
% 40.88/27.33 (~v178(constB37)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33432, 33390])).
% 40.88/27.33 tff(33434,plain,
% 40.88/27.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB37, constB38)) | v178(constB37) | (~v180(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB37, constB38)) | v178(constB37) | (~v180(constB38)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33435,plain,
% 40.88/27.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB37, constB38)) | v178(constB37) | (~v180(constB38)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33436,plain,
% 40.88/27.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB37, constB38)) | v178(constB37) | (~v180(constB38))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33435, 33434])).
% 40.88/27.33 tff(33437,plain,
% 40.88/27.33 (v178(constB37) | (~v180(constB38))),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33436, 11230, 5146])).
% 40.88/27.33 tff(33438,plain,
% 40.88/27.33 (~v180(constB38)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33437, 33433])).
% 40.88/27.33 tff(33439,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB38) | (~v181(constB38)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB38) | (~v181(constB38)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33440,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB38) | (~v181(constB38)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33441,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB38) | (~v181(constB38))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33440, 33439])).
% 40.88/27.33 tff(33442,plain,
% 40.88/27.33 (~v181(constB38)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33441, 11242, 33438])).
% 40.88/27.33 tff(33443,plain,
% 40.88/27.33 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB38)) | (~v184(constB38)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB38)) | (~v184(constB38)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33444,plain,
% 40.88/27.33 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB38)) | (~v184(constB38)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33445,plain,
% 40.88/27.33 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB38)) | (~v184(constB38))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33444, 33443])).
% 40.88/27.33 tff(33446,plain,
% 40.88/27.33 (~v184(constB38)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33445, 11253, 5166])).
% 40.88/27.33 tff(33447,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB38) | (~v187(constB38)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB38) | (~v187(constB38)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33448,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB38) | (~v187(constB38)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33449,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB38) | (~v187(constB38))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33448, 33447])).
% 40.88/27.33 tff(33450,plain,
% 40.88/27.33 (~v187(constB38)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33449, 11264, 33446])).
% 40.88/27.33 tff(33451,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB38) | (~v185(constB38)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB38) | (~v185(constB38)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33452,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB38) | (~v185(constB38)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33453,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB38) | (~v185(constB38))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33452, 33451])).
% 40.88/27.33 tff(33454,plain,
% 40.88/27.33 (~v185(constB38)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33453, 11098, 33450])).
% 40.88/27.33 tff(33455,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB38) | v185(constB38) | (~v178(constB38)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB38) | v185(constB38) | (~v178(constB38)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33456,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB38) | v185(constB38) | (~v178(constB38)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33457,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB38) | v185(constB38) | (~v178(constB38))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33456, 33455])).
% 40.88/27.33 tff(33458,plain,
% 40.88/27.33 (v181(constB38) | (~v178(constB38))),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33457, 11215, 33454])).
% 40.88/27.33 tff(33459,plain,
% 40.88/27.33 (~v178(constB38)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33458, 33442])).
% 40.88/27.33 tff(33460,plain,
% 40.88/27.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB38, constB39)) | v178(constB38) | (~v180(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB38, constB39)) | v178(constB38) | (~v180(constB39)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33461,plain,
% 40.88/27.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB38, constB39)) | v178(constB38) | (~v180(constB39)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33462,plain,
% 40.88/27.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB38, constB39)) | v178(constB38) | (~v180(constB39))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33461, 33460])).
% 40.88/27.33 tff(33463,plain,
% 40.88/27.33 (v178(constB38) | (~v180(constB39))),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33462, 11230, 5238])).
% 40.88/27.33 tff(33464,plain,
% 40.88/27.33 (~v180(constB39)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33463, 33459])).
% 40.88/27.33 tff(33465,plain,
% 40.88/27.33 ($false),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33464, 33323])).
% 40.88/27.33 tff(33466,plain,((~(constB39 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.88/27.33 tff(33467,plain,
% 40.88/27.33 (~(constB39 = sK0_VarCurr)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33466, 10998])).
% 40.88/27.33 tff(33468,assumption,(constB152 = sK0_VarCurr), introduced(assumption)).
% 40.88/27.33 tff(33469,plain,
% 40.88/27.33 (v1(constB152) <=> v1(sK0_VarCurr)),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33468])).
% 40.88/27.33 tff(33470,plain,
% 40.88/27.33 (v1(sK0_VarCurr) <=> v1(constB152)),
% 40.88/27.33 inference(symmetry,[status(thm)],[33469])).
% 40.88/27.33 tff(33471,plain,
% 40.88/27.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB152))),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33470])).
% 40.88/27.33 tff(33472,plain,
% 40.88/27.33 (~v1(constB152)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[21332, 33471])).
% 40.88/27.33 tff(33473,plain,
% 40.88/27.33 ($false),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[19715, 33472])).
% 40.88/27.33 tff(33474,plain,((~(constB152 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.88/27.33 tff(33475,plain,
% 40.88/27.33 (~(constB152 = sK0_VarCurr)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33474, 21327])).
% 40.88/27.33 tff(33476,assumption,(constB9 = sK0_VarCurr), introduced(assumption)).
% 40.88/27.33 tff(33477,plain,
% 40.88/27.33 (v86(constB9) <=> v86(sK0_VarCurr)),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33476])).
% 40.88/27.33 tff(33478,plain,
% 40.88/27.33 (v86(sK0_VarCurr) <=> v86(constB9)),
% 40.88/27.33 inference(symmetry,[status(thm)],[33477])).
% 40.88/27.33 tff(33479,plain,
% 40.88/27.33 ((~v86(sK0_VarCurr)) <=> (~v86(constB9))),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33478])).
% 40.88/27.33 tff(33480,plain,
% 40.88/27.33 (~v86(constB9)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[77, 33479])).
% 40.88/27.33 tff(33481,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB9) | v170(constB9) | (~v167(constB9)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB9) | v170(constB9) | (~v167(constB9)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33482,plain,
% 40.88/27.33 ((v141(constB9) | (~v167(constB9)) | v170(constB9)) <=> (v141(constB9) | v170(constB9) | (~v167(constB9)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33483,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB9) | (~v167(constB9)) | v170(constB9))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB9) | v170(constB9) | (~v167(constB9))))),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33482])).
% 40.88/27.33 tff(33484,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB9) | (~v167(constB9)) | v170(constB9))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB9) | v170(constB9) | (~v167(constB9)))),
% 40.88/27.33 inference(transitivity,[status(thm)],[33483, 33481])).
% 40.88/27.33 tff(33485,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB9) | (~v167(constB9)) | v170(constB9))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33486,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v141(constB9) | v170(constB9) | (~v167(constB9))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33485, 33484])).
% 40.88/27.33 tff(33487,plain,
% 40.88/27.33 (v170(constB9) | (~v167(constB9))),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33486, 10672, 28937])).
% 40.88/27.33 tff(33488,plain,
% 40.88/27.33 (~v167(constB9)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33487, 28933])).
% 40.88/27.33 tff(33489,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB9, bitIndex1) | (~v144(constB9)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB9, bitIndex1) | (~v144(constB9)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33490,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | (v88(constB9, bitIndex1) | (~v144(constB9)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33491,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v144(VarCurr)))) | v88(constB9, bitIndex1) | (~v144(constB9))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33490, 33489])).
% 40.88/27.33 tff(33492,plain,
% 40.88/27.33 (~v144(constB9)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33491, 10868, 28946])).
% 40.88/27.33 tff(33493,plain,
% 40.88/27.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v143(constB9)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v143(constB9)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33494,plain,
% 40.88/27.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | ((~v88(constB9, bitIndex2)) | (~v143(constB9)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33495,plain,
% 40.88/27.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v143(VarCurr)))) | (~v88(constB9, bitIndex2)) | (~v143(constB9))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33494, 33493])).
% 40.88/27.33 tff(33496,plain,
% 40.88/27.33 (~v143(constB9)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33495, 10885, 28921])).
% 40.88/27.33 tff(33497,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB9) | v144(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB9) | v144(constB9) | (~v142(constB9)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33498,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB9) | v144(constB9) | (~v142(constB9)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33499,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB9) | v144(constB9) | (~v142(constB9))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 40.88/27.33 tff(33500,plain,
% 40.88/27.33 (~v142(constB9)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33499, 10711, 33496, 33492])).
% 40.88/27.33 tff(33501,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB9) | (~v166(constB9)) | v142(constB9))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB9) | (~v166(constB9)) | v142(constB9))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33502,plain,
% 40.88/27.33 ((v142(constB9) | (~v166(constB9)) | v167(constB9)) <=> (v167(constB9) | (~v166(constB9)) | v142(constB9))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33503,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB9) | (~v166(constB9)) | v167(constB9))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB9) | (~v166(constB9)) | v142(constB9)))),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33502])).
% 40.88/27.33 tff(33504,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB9) | (~v166(constB9)) | v167(constB9))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB9) | (~v166(constB9)) | v142(constB9))),
% 40.88/27.33 inference(transitivity,[status(thm)],[33503, 33501])).
% 40.88/27.33 tff(33505,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB9) | (~v166(constB9)) | v167(constB9))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33506,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB9) | (~v166(constB9)) | v142(constB9)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33505, 33504])).
% 40.88/27.33 tff(33507,plain,
% 40.88/27.33 (~v166(constB9)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33506, 10725, 33500, 33488])).
% 40.88/27.33 tff(33508,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB9) | v166(constB9))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB9) | v166(constB9))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33509,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB9) | v166(constB9))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33510,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB9) | v166(constB9)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33509, 33508])).
% 40.88/27.33 tff(33511,plain,
% 40.88/27.33 (v148(constB9)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33510, 10739, 33507])).
% 40.88/27.33 tff(33512,plain,
% 40.88/27.33 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB9) | (~v148(constB9)) | (~v165(constB9)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB9) | (~v148(constB9)) | (~v165(constB9)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33513,plain,
% 40.88/27.33 (((~v148(constB9)) | (~v165(constB9)) | v86(constB9)) <=> (v86(constB9) | (~v148(constB9)) | (~v165(constB9)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33514,plain,
% 40.88/27.33 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB9)) | (~v165(constB9)) | v86(constB9))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB9) | (~v148(constB9)) | (~v165(constB9))))),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33513])).
% 40.88/27.33 tff(33515,plain,
% 40.88/27.33 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB9)) | (~v165(constB9)) | v86(constB9))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB9) | (~v148(constB9)) | (~v165(constB9)))),
% 40.88/27.33 inference(transitivity,[status(thm)],[33514, 33512])).
% 40.88/27.33 tff(33516,plain,
% 40.88/27.33 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB9)) | (~v165(constB9)) | v86(constB9))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33517,plain,
% 40.88/27.33 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB9) | (~v148(constB9)) | (~v165(constB9))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33516, 33515])).
% 40.88/27.33 tff(33518,plain,
% 40.88/27.33 (v86(constB9) | (~v148(constB9))),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33517, 10837, 28965])).
% 40.88/27.33 tff(33519,plain,
% 40.88/27.33 (v86(constB9)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33518, 33511])).
% 40.88/27.33 tff(33520,plain,
% 40.88/27.33 ($false),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33519, 33480])).
% 40.88/27.33 tff(33521,plain,((~(constB9 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.88/27.33 tff(33522,plain,
% 40.88/27.33 (~(constB9 = sK0_VarCurr)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33521, 72])).
% 40.88/27.33 tff(33523,assumption,(constB103 = sK0_VarCurr), introduced(assumption)).
% 40.88/27.33 tff(33524,plain,
% 40.88/27.33 (v180(constB103) <=> v180(sK0_VarCurr)),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33523])).
% 40.88/27.33 tff(33525,plain,
% 40.88/27.33 (v180(sK0_VarCurr) <=> v180(constB103)),
% 40.88/27.33 inference(symmetry,[status(thm)],[33524])).
% 40.88/27.33 tff(33526,plain,
% 40.88/27.33 (v180(constB103)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[11002, 33525])).
% 40.88/27.33 tff(33527,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33528,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33529,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB101, bitIndex2) | (~v88(constB101, bitIndex2))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33528, 33527])).
% 40.88/27.33 tff(33530,plain,
% 40.88/27.33 (~v88(constB101, bitIndex2)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33529, 22090, 13014])).
% 40.88/27.33 tff(33531,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33532,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33533,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB101, bitIndex0) | (~v88(constB101, bitIndex0))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33532, 33531])).
% 40.88/27.33 tff(33534,plain,
% 40.88/27.33 (~v88(constB101, bitIndex0)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33533, 14645, 13079])).
% 40.88/27.33 tff(33535,plain,
% 40.88/27.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33536,plain,
% 40.88/27.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33537,plain,
% 40.88/27.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB101, bitIndex1)) | v88(constB101, bitIndex1)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33536, 33535])).
% 40.88/27.33 tff(33538,plain,
% 40.88/27.33 (v88(constB101, bitIndex1)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33537, 21131, 13045])).
% 40.88/27.33 tff(33539,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v143(constB101))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v143(constB101))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33540,plain,
% 40.88/27.33 ((v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101)) <=> (v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v143(constB101))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33541,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v143(constB101)))),
% 40.88/27.33 inference(monotonicity,[status(thm)],[33540])).
% 40.88/27.33 tff(33542,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v143(constB101))),
% 40.88/27.33 inference(transitivity,[status(thm)],[33541, 33539])).
% 40.88/27.33 tff(33543,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0) | v143(constB101))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33544,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v143(constB101)),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33543, 33542])).
% 40.88/27.33 tff(33545,plain,
% 40.88/27.33 (v143(constB101)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33544, 22766, 33538, 33534, 33530])).
% 40.88/27.33 tff(33546,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB101) | (~v143(constB101)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB101) | (~v143(constB101)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33547,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB101) | (~v143(constB101)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33548,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB101) | (~v143(constB101))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33547, 33546])).
% 40.88/27.33 tff(33549,plain,
% 40.88/27.33 (v142(constB101)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33548, 22780, 33545])).
% 40.88/27.33 tff(33550,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB101) | (~v142(constB101)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB101) | (~v142(constB101)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33551,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB101) | (~v142(constB101)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.88/27.33 tff(33552,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB101) | (~v142(constB101))),
% 40.88/27.33 inference(modus_ponens,[status(thm)],[33551, 33550])).
% 40.88/27.33 tff(33553,plain,
% 40.88/27.33 (v166(constB101)),
% 40.88/27.33 inference(unit_resolution,[status(thm)],[33552, 21170, 33549])).
% 40.88/27.33 tff(33554,plain,
% 40.88/27.33 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB101) | (~v166(constB101)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB101) | (~v166(constB101)))),
% 40.88/27.33 inference(rewrite,[status(thm)],[])).
% 40.88/27.33 tff(33555,plain,
% 40.88/27.33 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB101) | (~v166(constB101)))),
% 40.88/27.33 inference(quant_inst,[status(thm)],[])).
% 40.90/27.33 tff(33556,plain,
% 40.90/27.33 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB101) | (~v166(constB101))),
% 40.90/27.33 inference(modus_ponens,[status(thm)],[33555, 33554])).
% 40.90/27.33 tff(33557,plain,
% 40.90/27.33 (v165(constB101)),
% 40.90/27.33 inference(unit_resolution,[status(thm)],[33556, 21181, 33553])).
% 40.90/27.33 tff(33558,plain,
% 40.90/27.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB101, bitIndex1)) | (~v139(constB101)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB101, bitIndex1)) | (~v139(constB101)))),
% 40.90/27.33 inference(rewrite,[status(thm)],[])).
% 40.90/27.33 tff(33559,plain,
% 40.90/27.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB101, bitIndex1)) | (~v139(constB101)))),
% 40.90/27.33 inference(quant_inst,[status(thm)],[])).
% 40.90/27.33 tff(33560,plain,
% 40.90/27.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB101, bitIndex1)) | (~v139(constB101))),
% 40.90/27.33 inference(modus_ponens,[status(thm)],[33559, 33558])).
% 40.90/27.33 tff(33561,plain,
% 40.90/27.33 (~v139(constB101)),
% 40.90/27.33 inference(unit_resolution,[status(thm)],[33560, 21192, 33538])).
% 40.90/27.33 tff(33562,plain,
% 40.90/27.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB101, bitIndex1)) | (~v140(constB101)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB101, bitIndex1)) | (~v140(constB101)))),
% 40.90/27.33 inference(rewrite,[status(thm)],[])).
% 40.90/27.33 tff(33563,plain,
% 40.90/27.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB101, bitIndex1)) | (~v140(constB101)))),
% 40.90/27.33 inference(quant_inst,[status(thm)],[])).
% 40.90/27.33 tff(33564,plain,
% 40.90/27.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB101, bitIndex1)) | (~v140(constB101))),
% 40.90/27.33 inference(modus_ponens,[status(thm)],[33563, 33562])).
% 40.90/27.33 tff(33565,plain,
% 40.90/27.33 (~v140(constB101)),
% 40.90/27.33 inference(unit_resolution,[status(thm)],[33564, 21203, 33538])).
% 40.90/27.33 tff(33566,plain,
% 40.90/27.33 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB101) | v139(constB101) | (~v170(constB101)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB101) | v139(constB101) | (~v170(constB101)))),
% 40.90/27.33 inference(rewrite,[status(thm)],[])).
% 40.90/27.33 tff(33567,plain,
% 40.90/27.33 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB101) | v139(constB101) | (~v170(constB101)))),
% 40.90/27.33 inference(quant_inst,[status(thm)],[])).
% 40.90/27.33 tff(33568,plain,
% 40.90/27.33 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB101) | v139(constB101) | (~v170(constB101))),
% 40.90/27.33 inference(modus_ponens,[status(thm)],[33567, 33566])).
% 40.90/27.33 tff(33569,plain,
% 40.90/27.33 (~v170(constB101)),
% 40.90/27.33 inference(unit_resolution,[status(thm)],[33568, 10647, 33565, 33561])).
% 40.90/27.33 tff(33570,plain,
% 40.90/27.33 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB101, bitIndex0) | (~v141(constB101)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB101, bitIndex0) | (~v141(constB101)))),
% 40.90/27.33 inference(rewrite,[status(thm)],[])).
% 40.90/27.33 tff(33571,plain,
% 40.90/27.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB101, bitIndex0) | (~v141(constB101)))),
% 40.90/27.33 inference(quant_inst,[status(thm)],[])).
% 40.90/27.33 tff(33572,plain,
% 40.90/27.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB101, bitIndex0) | (~v141(constB101))),
% 40.90/27.33 inference(modus_ponens,[status(thm)],[33571, 33570])).
% 40.90/27.33 tff(33573,plain,
% 40.90/27.33 (~v141(constB101)),
% 40.90/27.33 inference(unit_resolution,[status(thm)],[33572, 22820, 33534])).
% 40.90/27.33 tff(33574,plain,
% 40.90/27.33 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB101) | v170(constB101) | (~v169(constB101)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB101) | v170(constB101) | (~v169(constB101)))),
% 40.90/27.33 inference(rewrite,[status(thm)],[])).
% 40.90/27.33 tff(33575,plain,
% 40.90/27.33 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB101) | v170(constB101) | (~v169(constB101)))),
% 40.90/27.33 inference(quant_inst,[status(thm)],[])).
% 40.90/27.33 tff(33576,plain,
% 40.90/27.33 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB101) | v170(constB101) | (~v169(constB101))),
% 40.90/27.33 inference(modus_ponens,[status(thm)],[33575, 33574])).
% 40.90/27.33 tff(33577,plain,
% 40.90/27.33 (~v169(constB101)),
% 40.90/27.33 inference(unit_resolution,[status(thm)],[33576, 11040, 33573, 33569])).
% 40.90/27.33 tff(33578,plain,
% 40.90/27.33 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB101)) | v169(constB101) | (~v165(constB101)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB101)) | v169(constB101) | (~v165(constB101)))),
% 40.90/27.33 inference(rewrite,[status(thm)],[])).
% 40.90/27.33 tff(33579,plain,
% 40.90/27.33 (((~v165(constB101)) | v169(constB101) | (~v162(constB101))) <=> ((~v162(constB101)) | v169(constB101) | (~v165(constB101)))),
% 40.90/27.33 inference(rewrite,[status(thm)],[])).
% 40.90/27.33 tff(33580,plain,
% 40.90/27.33 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB101)) | v169(constB101) | (~v162(constB101)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB101)) | v169(constB101) | (~v165(constB101))))),
% 40.90/27.33 inference(monotonicity,[status(thm)],[33579])).
% 40.90/27.33 tff(33581,plain,
% 40.90/27.33 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB101)) | v169(constB101) | (~v162(constB101)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB101)) | v169(constB101) | (~v165(constB101)))),
% 40.90/27.33 inference(transitivity,[status(thm)],[33580, 33578])).
% 40.90/27.33 tff(33582,plain,
% 40.90/27.33 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB101)) | v169(constB101) | (~v162(constB101)))),
% 40.90/27.33 inference(quant_inst,[status(thm)],[])).
% 40.90/27.33 tff(33583,plain,
% 40.90/27.33 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB101)) | v169(constB101) | (~v165(constB101))),
% 40.90/27.33 inference(modus_ponens,[status(thm)],[33582, 33581])).
% 40.90/27.34 tff(33584,plain,
% 40.90/27.34 ((~v162(constB101)) | (~v165(constB101))),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33583, 11073, 33577])).
% 40.90/27.34 tff(33585,plain,
% 40.90/27.34 (~v162(constB101)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33584, 33557])).
% 40.90/27.34 tff(33586,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB101) | (~v187(constB101)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB101) | (~v187(constB101)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33587,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB101) | (~v187(constB101)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33588,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB101) | (~v187(constB101))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33587, 33586])).
% 40.90/27.34 tff(33589,plain,
% 40.90/27.34 (~v187(constB101)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33588, 11087, 33585])).
% 40.90/27.34 tff(33590,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB101) | (~v185(constB101)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB101) | (~v185(constB101)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33591,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB101) | (~v185(constB101)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33592,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB101) | (~v185(constB101))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33591, 33590])).
% 40.90/27.34 tff(33593,plain,
% 40.90/27.34 (~v185(constB101)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33592, 11098, 33589])).
% 40.90/27.34 tff(33594,assumption,(v18(constB102)), introduced(assumption)).
% 40.90/27.34 tff(33595,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB102))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33596,plain,
% 40.90/27.34 ($false),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33595, 11110, 33594])).
% 40.90/27.34 tff(33597,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.34 tff(33598,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33599,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33600,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33599, 33598])).
% 40.90/27.34 tff(33601,plain,
% 40.90/27.34 (v22(constB102)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33600, 11120, 13139])).
% 40.90/27.34 tff(33602,plain,
% 40.90/27.34 (((~![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))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33603,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33604,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33603, 33602])).
% 40.90/27.34 tff(33605,plain,
% 40.90/27.34 ((~v19(constB102)) | v18(constB102)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33604, 11134, 33601])).
% 40.90/27.34 tff(33606,plain,
% 40.90/27.34 (~v19(constB102)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33605, 33597])).
% 40.90/27.34 tff(33607,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33608,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33609,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33608, 33607])).
% 40.90/27.34 tff(33610,plain,
% 40.90/27.34 (v13(constB102)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33609, 11149, 33606])).
% 40.90/27.34 tff(33611,plain,
% 40.90/27.34 (((~![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))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33612,plain,
% 40.90/27.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33613,plain,
% 40.90/27.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33612, 33611])).
% 40.90/27.34 tff(33614,plain,
% 40.90/27.34 ((~v13(constB102)) | v9(constB101)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33613, 11163, 13119])).
% 40.90/27.34 tff(33615,plain,
% 40.90/27.34 (v9(constB101)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33614, 33610])).
% 40.90/27.34 tff(33616,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v184(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB101) | (~v9(constB101)) | v184(constB101))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33617,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v184(constB101))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33618,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB101) | (~v9(constB101)) | v184(constB101)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33617, 33616])).
% 40.90/27.34 tff(33619,plain,
% 40.90/27.34 ((~v9(constB101)) | v184(constB101)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33618, 11178, 12990])).
% 40.90/27.34 tff(33620,plain,
% 40.90/27.34 (v184(constB101)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33619, 33615])).
% 40.90/27.34 tff(33621,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB101) | (~v184(constB101)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB101) | (~v184(constB101)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33622,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB101) | (~v184(constB101)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33623,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB101) | (~v184(constB101))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33622, 33621])).
% 40.90/27.34 tff(33624,plain,
% 40.90/27.34 (v183(constB101)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33623, 11190, 33620])).
% 40.90/27.34 tff(33625,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB101)) | (~v183(constB101)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB101)) | (~v183(constB101)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33626,plain,
% 40.90/27.34 (((~v183(constB101)) | (~v181(constB101))) <=> ((~v181(constB101)) | (~v183(constB101)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33627,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB101)) | (~v181(constB101)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB101)) | (~v183(constB101))))),
% 40.90/27.34 inference(monotonicity,[status(thm)],[33626])).
% 40.90/27.34 tff(33628,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB101)) | (~v181(constB101)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB101)) | (~v183(constB101)))),
% 40.90/27.34 inference(transitivity,[status(thm)],[33627, 33625])).
% 40.90/27.34 tff(33629,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB101)) | (~v181(constB101)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33630,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB101)) | (~v183(constB101))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33629, 33628])).
% 40.90/27.34 tff(33631,plain,
% 40.90/27.34 (~v181(constB101)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33630, 11201, 33624])).
% 40.90/27.34 tff(33632,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB101) | v185(constB101) | (~v178(constB101)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB101) | v185(constB101) | (~v178(constB101)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33633,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB101) | v185(constB101) | (~v178(constB101)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33634,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB101) | v185(constB101) | (~v178(constB101))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33633, 33632])).
% 40.90/27.34 tff(33635,plain,
% 40.90/27.34 (v185(constB101) | (~v178(constB101))),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33634, 11215, 33631])).
% 40.90/27.34 tff(33636,plain,
% 40.90/27.34 (~v178(constB101)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33635, 33593])).
% 40.90/27.34 tff(33637,plain,
% 40.90/27.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33638,plain,
% 40.90/27.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33639,plain,
% 40.90/27.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33638, 33637])).
% 40.90/27.34 tff(33640,plain,
% 40.90/27.34 (v178(constB101) | (~v180(constB102))),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33639, 11230, 13119])).
% 40.90/27.34 tff(33641,plain,
% 40.90/27.34 (~v180(constB102)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33640, 33636])).
% 40.90/27.34 tff(33642,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB102) | (~v181(constB102)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB102) | (~v181(constB102)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33643,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB102) | (~v181(constB102)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33644,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB102) | (~v181(constB102))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33643, 33642])).
% 40.90/27.34 tff(33645,plain,
% 40.90/27.34 (~v181(constB102)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33644, 11242, 33641])).
% 40.90/27.34 tff(33646,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB102)) | (~v184(constB102)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB102)) | (~v184(constB102)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33647,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB102)) | (~v184(constB102)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33648,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB102)) | (~v184(constB102))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33647, 33646])).
% 40.90/27.34 tff(33649,plain,
% 40.90/27.34 (~v184(constB102)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33648, 11253, 13139])).
% 40.90/27.34 tff(33650,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB102) | (~v187(constB102)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB102) | (~v187(constB102)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33651,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB102) | (~v187(constB102)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33652,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB102) | (~v187(constB102))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33651, 33650])).
% 40.90/27.34 tff(33653,plain,
% 40.90/27.34 (~v187(constB102)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33652, 11264, 33649])).
% 40.90/27.34 tff(33654,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB102) | (~v185(constB102)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB102) | (~v185(constB102)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33655,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB102) | (~v185(constB102)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33656,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB102) | (~v185(constB102))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33655, 33654])).
% 40.90/27.34 tff(33657,plain,
% 40.90/27.34 (~v185(constB102)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33656, 11098, 33653])).
% 40.90/27.34 tff(33658,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB102) | v185(constB102) | (~v178(constB102)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB102) | v185(constB102) | (~v178(constB102)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33659,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB102) | v185(constB102) | (~v178(constB102)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33660,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB102) | v185(constB102) | (~v178(constB102))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33659, 33658])).
% 40.90/27.34 tff(33661,plain,
% 40.90/27.34 (v181(constB102) | (~v178(constB102))),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33660, 11215, 33657])).
% 40.90/27.34 tff(33662,plain,
% 40.90/27.34 (~v178(constB102)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33661, 33645])).
% 40.90/27.34 tff(33663,plain,
% 40.90/27.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33664,plain,
% 40.90/27.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33665,plain,
% 40.90/27.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33664, 33663])).
% 40.90/27.34 tff(33666,plain,
% 40.90/27.34 (v178(constB102) | (~v180(constB103))),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33665, 11230, 13184])).
% 40.90/27.34 tff(33667,plain,
% 40.90/27.34 (~v180(constB103)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33666, 33662])).
% 40.90/27.34 tff(33668,plain,
% 40.90/27.34 ($false),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33667, 33526])).
% 40.90/27.34 tff(33669,plain,((~(constB103 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.90/27.34 tff(33670,plain,
% 40.90/27.34 (~(constB103 = sK0_VarCurr)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33669, 10998])).
% 40.90/27.34 tff(33671,assumption,(constB184 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.34 tff(33672,plain,
% 40.90/27.34 (v1(constB184) <=> v1(sK0_VarCurr)),
% 40.90/27.34 inference(monotonicity,[status(thm)],[33671])).
% 40.90/27.34 tff(33673,plain,
% 40.90/27.34 (v1(sK0_VarCurr) <=> v1(constB184)),
% 40.90/27.34 inference(symmetry,[status(thm)],[33672])).
% 40.90/27.34 tff(33674,plain,
% 40.90/27.34 ((~v1(sK0_VarCurr)) <=> (~v1(constB184))),
% 40.90/27.34 inference(monotonicity,[status(thm)],[33673])).
% 40.90/27.34 tff(33675,plain,
% 40.90/27.34 (~v1(constB184)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[21332, 33674])).
% 40.90/27.34 tff(33676,plain,
% 40.90/27.34 ($false),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[25067, 33675])).
% 40.90/27.34 tff(33677,plain,((~(constB184 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.34 tff(33678,plain,
% 40.90/27.34 (~(constB184 = sK0_VarCurr)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33677, 21327])).
% 40.90/27.34 tff(33679,assumption,(constB91 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.34 tff(33680,plain,
% 40.90/27.34 (v180(constB91) <=> v180(sK0_VarCurr)),
% 40.90/27.34 inference(monotonicity,[status(thm)],[33679])).
% 40.90/27.34 tff(33681,plain,
% 40.90/27.34 (v180(sK0_VarCurr) <=> v180(constB91)),
% 40.90/27.34 inference(symmetry,[status(thm)],[33680])).
% 40.90/27.34 tff(33682,plain,
% 40.90/27.34 (v180(constB91)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[11002, 33681])).
% 40.90/27.34 tff(33683,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB89, bitIndex2) | (~v88(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB89, bitIndex2) | (~v88(constB89, bitIndex2)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33684,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB89, bitIndex2) | (~v88(constB89, bitIndex2)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33685,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB89, bitIndex2) | (~v88(constB89, bitIndex2))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33684, 33683])).
% 40.90/27.34 tff(33686,plain,
% 40.90/27.34 (~v88(constB89, bitIndex2)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33685, 22090, 11815])).
% 40.90/27.34 tff(33687,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB89, bitIndex0) | (~v88(constB89, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB89, bitIndex0) | (~v88(constB89, bitIndex0)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33688,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB89, bitIndex0) | (~v88(constB89, bitIndex0)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33689,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB89, bitIndex0) | (~v88(constB89, bitIndex0))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33688, 33687])).
% 40.90/27.34 tff(33690,plain,
% 40.90/27.34 (~v88(constB89, bitIndex0)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33689, 14645, 11880])).
% 40.90/27.34 tff(33691,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB89, bitIndex1)) | v88(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB89, bitIndex1)) | v88(constB89, bitIndex1))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33692,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB89, bitIndex1)) | v88(constB89, bitIndex1))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33693,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB89, bitIndex1)) | v88(constB89, bitIndex1)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33692, 33691])).
% 40.90/27.34 tff(33694,plain,
% 40.90/27.34 (v88(constB89, bitIndex1)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33693, 21131, 11846])).
% 40.90/27.34 tff(33695,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0) | v143(constB89))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0) | v143(constB89))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33696,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0) | v143(constB89))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33697,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0) | v143(constB89)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33696, 33695])).
% 40.90/27.34 tff(33698,plain,
% 40.90/27.34 (v143(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33697, 22766, 33694, 33690, 33686])).
% 40.90/27.34 tff(33699,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB89) | (~v143(constB89)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB89) | (~v143(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33700,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB89) | (~v143(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33701,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB89) | (~v143(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33700, 33699])).
% 40.90/27.34 tff(33702,plain,
% 40.90/27.34 (v142(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33701, 22780, 33698])).
% 40.90/27.34 tff(33703,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB89) | (~v142(constB89)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB89) | (~v142(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33704,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB89) | (~v142(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33705,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB89) | (~v142(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33704, 33703])).
% 40.90/27.34 tff(33706,plain,
% 40.90/27.34 (v166(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33705, 21170, 33702])).
% 40.90/27.34 tff(33707,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB89) | (~v166(constB89)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB89) | (~v166(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33708,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB89) | (~v166(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33709,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB89) | (~v166(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33708, 33707])).
% 40.90/27.34 tff(33710,plain,
% 40.90/27.34 (v165(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33709, 21181, 33706])).
% 40.90/27.34 tff(33711,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB89, bitIndex1)) | (~v139(constB89)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB89, bitIndex1)) | (~v139(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33712,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB89, bitIndex1)) | (~v139(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33713,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB89, bitIndex1)) | (~v139(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33712, 33711])).
% 40.90/27.34 tff(33714,plain,
% 40.90/27.34 (~v139(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33713, 21192, 33694])).
% 40.90/27.34 tff(33715,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB89, bitIndex1)) | (~v140(constB89)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB89, bitIndex1)) | (~v140(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33716,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB89, bitIndex1)) | (~v140(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33717,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB89, bitIndex1)) | (~v140(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33716, 33715])).
% 40.90/27.34 tff(33718,plain,
% 40.90/27.34 (~v140(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33717, 21203, 33694])).
% 40.90/27.34 tff(33719,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB89) | v139(constB89) | (~v170(constB89)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB89) | v139(constB89) | (~v170(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33720,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB89) | v139(constB89) | (~v170(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33721,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB89) | v139(constB89) | (~v170(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33720, 33719])).
% 40.90/27.34 tff(33722,plain,
% 40.90/27.34 (~v170(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33721, 10647, 33718, 33714])).
% 40.90/27.34 tff(33723,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB89, bitIndex0) | (~v141(constB89)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB89, bitIndex0) | (~v141(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33724,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB89, bitIndex0) | (~v141(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33725,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB89, bitIndex0) | (~v141(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33724, 33723])).
% 40.90/27.34 tff(33726,plain,
% 40.90/27.34 (~v141(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33725, 22820, 33690])).
% 40.90/27.34 tff(33727,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB89) | v170(constB89) | (~v169(constB89)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB89) | v170(constB89) | (~v169(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33728,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB89) | v170(constB89) | (~v169(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33729,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB89) | v170(constB89) | (~v169(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33728, 33727])).
% 40.90/27.34 tff(33730,plain,
% 40.90/27.34 (~v169(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33729, 11040, 33726, 33722])).
% 40.90/27.34 tff(33731,plain,
% 40.90/27.34 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB89)) | (~v165(constB89)) | v169(constB89))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB89)) | (~v165(constB89)) | v169(constB89))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33732,plain,
% 40.90/27.34 (((~v165(constB89)) | v169(constB89) | (~v162(constB89))) <=> ((~v162(constB89)) | (~v165(constB89)) | v169(constB89))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33733,plain,
% 40.90/27.34 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB89)) | v169(constB89) | (~v162(constB89)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB89)) | (~v165(constB89)) | v169(constB89)))),
% 40.90/27.34 inference(monotonicity,[status(thm)],[33732])).
% 40.90/27.34 tff(33734,plain,
% 40.90/27.34 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB89)) | v169(constB89) | (~v162(constB89)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB89)) | (~v165(constB89)) | v169(constB89))),
% 40.90/27.34 inference(transitivity,[status(thm)],[33733, 33731])).
% 40.90/27.34 tff(33735,plain,
% 40.90/27.34 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB89)) | v169(constB89) | (~v162(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33736,plain,
% 40.90/27.34 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB89)) | (~v165(constB89)) | v169(constB89)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33735, 33734])).
% 40.90/27.34 tff(33737,plain,
% 40.90/27.34 ((~v162(constB89)) | (~v165(constB89))),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33736, 11073, 33730])).
% 40.90/27.34 tff(33738,plain,
% 40.90/27.34 (~v162(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33737, 33710])).
% 40.90/27.34 tff(33739,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB89) | (~v187(constB89)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB89) | (~v187(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33740,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB89) | (~v187(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33741,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB89) | (~v187(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33740, 33739])).
% 40.90/27.34 tff(33742,plain,
% 40.90/27.34 (~v187(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33741, 11087, 33738])).
% 40.90/27.34 tff(33743,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB89) | (~v185(constB89)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB89) | (~v185(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33744,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB89) | (~v185(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33745,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB89) | (~v185(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33744, 33743])).
% 40.90/27.34 tff(33746,plain,
% 40.90/27.34 (~v185(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33745, 11098, 33742])).
% 40.90/27.34 tff(33747,assumption,(v18(constB90)), introduced(assumption)).
% 40.90/27.34 tff(33748,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB90))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33749,plain,
% 40.90/27.34 ($false),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33748, 11110, 33747])).
% 40.90/27.34 tff(33750,plain,(~v18(constB90)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.34 tff(33751,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33752,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33753,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33752, 33751])).
% 40.90/27.34 tff(33754,plain,
% 40.90/27.34 (v22(constB90)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33753, 11120, 11940])).
% 40.90/27.34 tff(33755,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB90)) | (~v22(constB90)) | v18(constB90))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB90)) | (~v22(constB90)) | v18(constB90))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33756,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB90)) | (~v22(constB90)) | v18(constB90))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33757,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB90)) | (~v22(constB90)) | v18(constB90)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33756, 33755])).
% 40.90/27.34 tff(33758,plain,
% 40.90/27.34 ((~v19(constB90)) | v18(constB90)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33757, 11134, 33754])).
% 40.90/27.34 tff(33759,plain,
% 40.90/27.34 (~v19(constB90)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33758, 33750])).
% 40.90/27.34 tff(33760,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33761,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33762,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33761, 33760])).
% 40.90/27.34 tff(33763,plain,
% 40.90/27.34 (v13(constB90)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33762, 11149, 33759])).
% 40.90/27.34 tff(33764,plain,
% 40.90/27.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33765,plain,
% 40.90/27.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33766,plain,
% 40.90/27.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33765, 33764])).
% 40.90/27.34 tff(33767,plain,
% 40.90/27.34 ((~v13(constB90)) | v9(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33766, 11163, 11920])).
% 40.90/27.34 tff(33768,plain,
% 40.90/27.34 (v9(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33767, 33763])).
% 40.90/27.34 tff(33769,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v184(constB89))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB89) | (~v9(constB89)) | v184(constB89))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33770,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v184(constB89))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33771,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB89) | (~v9(constB89)) | v184(constB89)),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33770, 33769])).
% 40.90/27.34 tff(33772,plain,
% 40.90/27.34 ((~v9(constB89)) | v184(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33771, 11178, 11791])).
% 40.90/27.34 tff(33773,plain,
% 40.90/27.34 (v184(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33772, 33768])).
% 40.90/27.34 tff(33774,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB89) | (~v184(constB89)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB89) | (~v184(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33775,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB89) | (~v184(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33776,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB89) | (~v184(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33775, 33774])).
% 40.90/27.34 tff(33777,plain,
% 40.90/27.34 (v183(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33776, 11190, 33773])).
% 40.90/27.34 tff(33778,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB89)) | (~v183(constB89)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB89)) | (~v183(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33779,plain,
% 40.90/27.34 (((~v183(constB89)) | (~v181(constB89))) <=> ((~v181(constB89)) | (~v183(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33780,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB89)) | (~v181(constB89)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB89)) | (~v183(constB89))))),
% 40.90/27.34 inference(monotonicity,[status(thm)],[33779])).
% 40.90/27.34 tff(33781,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB89)) | (~v181(constB89)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB89)) | (~v183(constB89)))),
% 40.90/27.34 inference(transitivity,[status(thm)],[33780, 33778])).
% 40.90/27.34 tff(33782,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB89)) | (~v181(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33783,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB89)) | (~v183(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33782, 33781])).
% 40.90/27.34 tff(33784,plain,
% 40.90/27.34 (~v181(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33783, 11201, 33777])).
% 40.90/27.34 tff(33785,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB89) | v185(constB89) | (~v178(constB89)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB89) | v185(constB89) | (~v178(constB89)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33786,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB89) | v185(constB89) | (~v178(constB89)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33787,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB89) | v185(constB89) | (~v178(constB89))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33786, 33785])).
% 40.90/27.34 tff(33788,plain,
% 40.90/27.34 (v185(constB89) | (~v178(constB89))),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33787, 11215, 33784])).
% 40.90/27.34 tff(33789,plain,
% 40.90/27.34 (~v178(constB89)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33788, 33746])).
% 40.90/27.34 tff(33790,plain,
% 40.90/27.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB89, constB90)) | v178(constB89) | (~v180(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB89, constB90)) | v178(constB89) | (~v180(constB90)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33791,plain,
% 40.90/27.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB89, constB90)) | v178(constB89) | (~v180(constB90)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33792,plain,
% 40.90/27.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB89, constB90)) | v178(constB89) | (~v180(constB90))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33791, 33790])).
% 40.90/27.34 tff(33793,plain,
% 40.90/27.34 (v178(constB89) | (~v180(constB90))),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33792, 11230, 11920])).
% 40.90/27.34 tff(33794,plain,
% 40.90/27.34 (~v180(constB90)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33793, 33789])).
% 40.90/27.34 tff(33795,plain,
% 40.90/27.34 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB90) | (~v181(constB90)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB90) | (~v181(constB90)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33796,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB90) | (~v181(constB90)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33797,plain,
% 40.90/27.34 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB90) | (~v181(constB90))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33796, 33795])).
% 40.90/27.34 tff(33798,plain,
% 40.90/27.34 (~v181(constB90)),
% 40.90/27.34 inference(unit_resolution,[status(thm)],[33797, 11242, 33794])).
% 40.90/27.34 tff(33799,plain,
% 40.90/27.34 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB90)) | (~v184(constB90)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB90)) | (~v184(constB90)))),
% 40.90/27.34 inference(rewrite,[status(thm)],[])).
% 40.90/27.34 tff(33800,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB90)) | (~v184(constB90)))),
% 40.90/27.34 inference(quant_inst,[status(thm)],[])).
% 40.90/27.34 tff(33801,plain,
% 40.90/27.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB90)) | (~v184(constB90))),
% 40.90/27.34 inference(modus_ponens,[status(thm)],[33800, 33799])).
% 40.90/27.35 tff(33802,plain,
% 40.90/27.35 (~v184(constB90)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33801, 11253, 11940])).
% 40.90/27.35 tff(33803,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB90) | (~v187(constB90)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB90) | (~v187(constB90)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33804,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB90) | (~v187(constB90)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33805,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB90) | (~v187(constB90))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33804, 33803])).
% 40.90/27.35 tff(33806,plain,
% 40.90/27.35 (~v187(constB90)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33805, 11264, 33802])).
% 40.90/27.35 tff(33807,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB90) | (~v185(constB90)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB90) | (~v185(constB90)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33808,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB90) | (~v185(constB90)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33809,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB90) | (~v185(constB90))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33808, 33807])).
% 40.90/27.35 tff(33810,plain,
% 40.90/27.35 (~v185(constB90)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33809, 11098, 33806])).
% 40.90/27.35 tff(33811,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB90) | v185(constB90) | (~v178(constB90)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB90) | v185(constB90) | (~v178(constB90)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33812,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB90) | v185(constB90) | (~v178(constB90)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33813,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB90) | v185(constB90) | (~v178(constB90))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33812, 33811])).
% 40.90/27.35 tff(33814,plain,
% 40.90/27.35 (v181(constB90) | (~v178(constB90))),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33813, 11215, 33810])).
% 40.90/27.35 tff(33815,plain,
% 40.90/27.35 (~v178(constB90)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33814, 33798])).
% 40.90/27.35 tff(33816,plain,
% 40.90/27.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB90, constB91)) | v178(constB90) | (~v180(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB90, constB91)) | v178(constB90) | (~v180(constB91)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33817,plain,
% 40.90/27.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB90, constB91)) | v178(constB90) | (~v180(constB91)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33818,plain,
% 40.90/27.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB90, constB91)) | v178(constB90) | (~v180(constB91))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33817, 33816])).
% 40.90/27.35 tff(33819,plain,
% 40.90/27.35 (v178(constB90) | (~v180(constB91))),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33818, 11230, 11985])).
% 40.90/27.35 tff(33820,plain,
% 40.90/27.35 (~v180(constB91)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33819, 33815])).
% 40.90/27.35 tff(33821,plain,
% 40.90/27.35 ($false),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33820, 33682])).
% 40.90/27.35 tff(33822,plain,((~(constB91 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.90/27.35 tff(33823,plain,
% 40.90/27.35 (~(constB91 = sK0_VarCurr)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33822, 10998])).
% 40.90/27.35 tff(33824,assumption,(constB4 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.35 tff(33825,plain,
% 40.90/27.35 (v1(constB4) <=> v1(sK0_VarCurr)),
% 40.90/27.35 inference(monotonicity,[status(thm)],[33824])).
% 40.90/27.35 tff(33826,plain,
% 40.90/27.35 (v1(sK0_VarCurr) <=> v1(constB4)),
% 40.90/27.35 inference(symmetry,[status(thm)],[33825])).
% 40.90/27.35 tff(33827,plain,
% 40.90/27.35 ((~v1(sK0_VarCurr)) <=> (~v1(constB4))),
% 40.90/27.35 inference(monotonicity,[status(thm)],[33826])).
% 40.90/27.35 tff(33828,plain,
% 40.90/27.35 (~v1(constB4)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[21332, 33827])).
% 40.90/27.35 tff(33829,plain,
% 40.90/27.35 ($false),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[834, 33828])).
% 40.90/27.35 tff(33830,plain,((~(constB4 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.35 tff(33831,plain,
% 40.90/27.35 (~(constB4 = sK0_VarCurr)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33830, 21327])).
% 40.90/27.35 tff(33832,assumption,(constB10 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.35 tff(33833,plain,
% 40.90/27.35 (v1(constB10) <=> v1(sK0_VarCurr)),
% 40.90/27.35 inference(monotonicity,[status(thm)],[33832])).
% 40.90/27.35 tff(33834,plain,
% 40.90/27.35 (v1(sK0_VarCurr) <=> v1(constB10)),
% 40.90/27.35 inference(symmetry,[status(thm)],[33833])).
% 40.90/27.35 tff(33835,plain,
% 40.90/27.35 ((~v1(sK0_VarCurr)) <=> (~v1(constB10))),
% 40.90/27.35 inference(monotonicity,[status(thm)],[33834])).
% 40.90/27.35 tff(33836,plain,
% 40.90/27.35 (~v1(constB10)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[21332, 33835])).
% 40.90/27.35 tff(33837,plain,
% 40.90/27.35 ($false),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[1620, 33836])).
% 40.90/27.35 tff(33838,plain,((~(constB10 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.35 tff(33839,plain,
% 40.90/27.35 (~(constB10 = sK0_VarCurr)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33838, 21327])).
% 40.90/27.35 tff(33840,assumption,(constB99 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.35 tff(33841,plain,
% 40.90/27.35 (v180(constB99) <=> v180(sK0_VarCurr)),
% 40.90/27.35 inference(monotonicity,[status(thm)],[33840])).
% 40.90/27.35 tff(33842,plain,
% 40.90/27.35 (v180(sK0_VarCurr) <=> v180(constB99)),
% 40.90/27.35 inference(symmetry,[status(thm)],[33841])).
% 40.90/27.35 tff(33843,plain,
% 40.90/27.35 (v180(constB99)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[11002, 33842])).
% 40.90/27.35 tff(33844,plain,
% 40.90/27.35 (((~![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)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33845,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB97, bitIndex0) | (~v88(constB97, bitIndex0)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33846,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB97, bitIndex0) | (~v88(constB97, bitIndex0))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33845, 33844])).
% 40.90/27.35 tff(33847,plain,
% 40.90/27.35 (~v88(constB97, bitIndex0)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33846, 14645, 12716])).
% 40.90/27.35 tff(33848,plain,
% 40.90/27.35 (((~![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))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33849,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33850,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33849, 33848])).
% 40.90/27.35 tff(33851,plain,
% 40.90/27.35 (v88(constB97, bitIndex2)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33850, 10566, 12635])).
% 40.90/27.35 tff(33852,plain,
% 40.90/27.35 (((~![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))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33853,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33854,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33853, 33852])).
% 40.90/27.35 tff(33855,plain,
% 40.90/27.35 (v88(constB97, bitIndex1)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33854, 21131, 12600])).
% 40.90/27.35 tff(33856,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33857,plain,
% 40.90/27.35 (((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97)) <=> ((~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33858,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0)))),
% 40.90/27.35 inference(monotonicity,[status(thm)],[33857])).
% 40.90/27.35 tff(33859,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))),
% 40.90/27.35 inference(transitivity,[status(thm)],[33858, 33856])).
% 40.90/27.35 tff(33860,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33861,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB97, bitIndex2)) | v144(constB97) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33860, 33859])).
% 40.90/27.35 tff(33862,plain,
% 40.90/27.35 (v144(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33861, 21145, 33855, 33851, 33847])).
% 40.90/27.35 tff(33863,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB97) | (~v144(constB97)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB97) | (~v144(constB97)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33864,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB97) | (~v144(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33865,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB97) | (~v144(constB97))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33864, 33863])).
% 40.90/27.35 tff(33866,plain,
% 40.90/27.35 (v142(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33865, 21159, 33862])).
% 40.90/27.35 tff(33867,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB97) | (~v142(constB97)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB97) | (~v142(constB97)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33868,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB97) | (~v142(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33869,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB97) | (~v142(constB97))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33868, 33867])).
% 40.90/27.35 tff(33870,plain,
% 40.90/27.35 (v166(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33869, 21170, 33866])).
% 40.90/27.35 tff(33871,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB97) | (~v166(constB97)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB97) | (~v166(constB97)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33872,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB97) | (~v166(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33873,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB97) | (~v166(constB97))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33872, 33871])).
% 40.90/27.35 tff(33874,plain,
% 40.90/27.35 (v165(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33873, 21181, 33870])).
% 40.90/27.35 tff(33875,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB97, bitIndex1)) | (~v139(constB97)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB97, bitIndex1)) | (~v139(constB97)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33876,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB97, bitIndex1)) | (~v139(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33877,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB97, bitIndex1)) | (~v139(constB97))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33876, 33875])).
% 40.90/27.35 tff(33878,plain,
% 40.90/27.35 (~v139(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33877, 21192, 33855])).
% 40.90/27.35 tff(33879,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB97, bitIndex1)) | (~v140(constB97)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB97, bitIndex1)) | (~v140(constB97)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33880,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB97, bitIndex1)) | (~v140(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33881,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB97, bitIndex1)) | (~v140(constB97))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33880, 33879])).
% 40.90/27.35 tff(33882,plain,
% 40.90/27.35 (~v140(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33881, 21203, 33855])).
% 40.90/27.35 tff(33883,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v170(constB97)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB97) | v139(constB97) | (~v170(constB97)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33884,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v170(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33885,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB97) | v139(constB97) | (~v170(constB97))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33884, 33883])).
% 40.90/27.35 tff(33886,plain,
% 40.90/27.35 (~v170(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33885, 10647, 33882, 33878])).
% 40.90/27.35 tff(33887,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB97, bitIndex2)) | (~v141(constB97)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB97, bitIndex2)) | (~v141(constB97)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33888,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB97, bitIndex2)) | (~v141(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33889,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB97, bitIndex2)) | (~v141(constB97))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33888, 33887])).
% 40.90/27.35 tff(33890,plain,
% 40.90/27.35 (~v141(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33889, 10658, 33851])).
% 40.90/27.35 tff(33891,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB97) | v170(constB97) | (~v169(constB97)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB97) | v170(constB97) | (~v169(constB97)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33892,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB97) | v170(constB97) | (~v169(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33893,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB97) | v170(constB97) | (~v169(constB97))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33892, 33891])).
% 40.90/27.35 tff(33894,plain,
% 40.90/27.35 (~v169(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33893, 11040, 33890, 33886])).
% 40.90/27.35 tff(33895,plain,
% 40.90/27.35 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB97)) | (~v165(constB97)) | v169(constB97))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB97)) | (~v165(constB97)) | v169(constB97))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33896,plain,
% 40.90/27.35 (((~v165(constB97)) | v169(constB97) | (~v162(constB97))) <=> ((~v162(constB97)) | (~v165(constB97)) | v169(constB97))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33897,plain,
% 40.90/27.35 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB97)) | v169(constB97) | (~v162(constB97)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB97)) | (~v165(constB97)) | v169(constB97)))),
% 40.90/27.35 inference(monotonicity,[status(thm)],[33896])).
% 40.90/27.35 tff(33898,plain,
% 40.90/27.35 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB97)) | v169(constB97) | (~v162(constB97)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB97)) | (~v165(constB97)) | v169(constB97))),
% 40.90/27.35 inference(transitivity,[status(thm)],[33897, 33895])).
% 40.90/27.35 tff(33899,plain,
% 40.90/27.35 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB97)) | v169(constB97) | (~v162(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33900,plain,
% 40.90/27.35 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB97)) | (~v165(constB97)) | v169(constB97)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33899, 33898])).
% 40.90/27.35 tff(33901,plain,
% 40.90/27.35 ((~v162(constB97)) | (~v165(constB97))),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33900, 11073, 33894])).
% 40.90/27.35 tff(33902,plain,
% 40.90/27.35 (~v162(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33901, 33874])).
% 40.90/27.35 tff(33903,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB97) | (~v187(constB97)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB97) | (~v187(constB97)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33904,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB97) | (~v187(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33905,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB97) | (~v187(constB97))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33904, 33903])).
% 40.90/27.35 tff(33906,plain,
% 40.90/27.35 (~v187(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33905, 11087, 33902])).
% 40.90/27.35 tff(33907,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB97) | (~v185(constB97)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB97) | (~v185(constB97)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33908,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB97) | (~v185(constB97)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33909,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB97) | (~v185(constB97))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33908, 33907])).
% 40.90/27.35 tff(33910,plain,
% 40.90/27.35 (~v185(constB97)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33909, 11098, 33906])).
% 40.90/27.35 tff(33911,plain,
% 40.90/27.35 (((~![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))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33912,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33913,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33912, 33911])).
% 40.90/27.35 tff(33914,plain,
% 40.90/27.35 (v88(constB95, bitIndex2)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33913, 10566, 12424])).
% 40.90/27.35 tff(33915,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v140(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB95, bitIndex2)) | (~v140(constB95)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33916,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v140(constB95)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33917,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB95, bitIndex2)) | (~v140(constB95))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33916, 33915])).
% 40.90/27.35 tff(33918,plain,
% 40.90/27.35 (~v140(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33917, 10577, 33914])).
% 40.90/27.35 tff(33919,plain,
% 40.90/27.35 (((~![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))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33920,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB95, bitIndex0)) | v88(constB95, bitIndex0))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33921,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB95, bitIndex0)) | v88(constB95, bitIndex0)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33920, 33919])).
% 40.90/27.35 tff(33922,plain,
% 40.90/27.35 (v88(constB95, bitIndex0)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33921, 10622, 12489])).
% 40.90/27.35 tff(33923,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB95)) | (~v88(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB95)) | (~v88(constB95, bitIndex0)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33924,plain,
% 40.90/27.35 (((~v88(constB95, bitIndex0)) | (~v139(constB95))) <=> ((~v139(constB95)) | (~v88(constB95, bitIndex0)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33925,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v139(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB95)) | (~v88(constB95, bitIndex0))))),
% 40.90/27.35 inference(monotonicity,[status(thm)],[33924])).
% 40.90/27.35 tff(33926,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v139(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB95)) | (~v88(constB95, bitIndex0)))),
% 40.90/27.35 inference(transitivity,[status(thm)],[33925, 33923])).
% 40.90/27.35 tff(33927,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v139(constB95)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33928,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB95)) | (~v88(constB95, bitIndex0))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33927, 33926])).
% 40.90/27.35 tff(33929,plain,
% 40.90/27.35 (~v139(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33928, 10633, 33922])).
% 40.90/27.35 tff(33930,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v170(constB95)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB95) | v139(constB95) | (~v170(constB95)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33931,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v170(constB95)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33932,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB95) | v139(constB95) | (~v170(constB95))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33931, 33930])).
% 40.90/27.35 tff(33933,plain,
% 40.90/27.35 (~v170(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33932, 10647, 33929, 33918])).
% 40.90/27.35 tff(33934,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v141(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB95, bitIndex2)) | (~v141(constB95)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33935,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v141(constB95)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33936,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB95, bitIndex2)) | (~v141(constB95))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33935, 33934])).
% 40.90/27.35 tff(33937,plain,
% 40.90/27.35 (~v141(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33936, 10658, 33914])).
% 40.90/27.35 tff(33938,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB95) | v170(constB95) | (~v169(constB95)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB95) | v170(constB95) | (~v169(constB95)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33939,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB95) | v170(constB95) | (~v169(constB95)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33940,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB95) | v170(constB95) | (~v169(constB95))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33939, 33938])).
% 40.90/27.35 tff(33941,plain,
% 40.90/27.35 (~v169(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33940, 11040, 33937, 33933])).
% 40.90/27.35 tff(33942,plain,
% 40.90/27.35 (((~![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)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33943,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB95, bitIndex1) | (~v88(constB95, bitIndex1)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33944,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB95, bitIndex1) | (~v88(constB95, bitIndex1))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33943, 33942])).
% 40.90/27.35 tff(33945,plain,
% 40.90/27.35 (~v88(constB95, bitIndex1)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33944, 10784, 12458])).
% 40.90/27.35 tff(33946,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33947,plain,
% 40.90/27.35 (((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95)) <=> ((~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33948,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1)))),
% 40.90/27.35 inference(monotonicity,[status(thm)],[33947])).
% 40.90/27.35 tff(33949,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1))),
% 40.90/27.35 inference(transitivity,[status(thm)],[33948, 33946])).
% 40.90/27.35 tff(33950,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33951,plain,
% 40.90/27.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33950, 33949])).
% 40.90/27.35 tff(33952,plain,
% 40.90/27.35 (v147(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33951, 10798, 33922, 33914, 33945])).
% 40.90/27.35 tff(33953,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB95) | (~v147(constB95)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB95) | (~v147(constB95)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33954,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB95) | (~v147(constB95)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33955,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB95) | (~v147(constB95))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33954, 33953])).
% 40.90/27.35 tff(33956,plain,
% 40.90/27.35 (v145(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33955, 10812, 33952])).
% 40.90/27.35 tff(33957,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB95) | (~v145(constB95)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB95) | (~v145(constB95)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33958,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB95) | (~v145(constB95)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33959,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB95) | (~v145(constB95))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33958, 33957])).
% 40.90/27.35 tff(33960,plain,
% 40.90/27.35 (v165(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33959, 10823, 33956])).
% 40.90/27.35 tff(33961,plain,
% 40.90/27.35 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB95)) | (~v165(constB95)) | v169(constB95))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB95)) | (~v165(constB95)) | v169(constB95))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33962,plain,
% 40.90/27.35 (((~v165(constB95)) | v169(constB95) | (~v162(constB95))) <=> ((~v162(constB95)) | (~v165(constB95)) | v169(constB95))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33963,plain,
% 40.90/27.35 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB95)) | v169(constB95) | (~v162(constB95)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB95)) | (~v165(constB95)) | v169(constB95)))),
% 40.90/27.35 inference(monotonicity,[status(thm)],[33962])).
% 40.90/27.35 tff(33964,plain,
% 40.90/27.35 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB95)) | v169(constB95) | (~v162(constB95)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB95)) | (~v165(constB95)) | v169(constB95))),
% 40.90/27.35 inference(transitivity,[status(thm)],[33963, 33961])).
% 40.90/27.35 tff(33965,plain,
% 40.90/27.35 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB95)) | v169(constB95) | (~v162(constB95)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33966,plain,
% 40.90/27.35 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB95)) | (~v165(constB95)) | v169(constB95)),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33965, 33964])).
% 40.90/27.35 tff(33967,plain,
% 40.90/27.35 (~v162(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33966, 11073, 33960, 33941])).
% 40.90/27.35 tff(33968,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB95) | (~v187(constB95)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB95) | (~v187(constB95)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33969,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB95) | (~v187(constB95)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33970,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB95) | (~v187(constB95))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33969, 33968])).
% 40.90/27.35 tff(33971,plain,
% 40.90/27.35 (~v187(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33970, 11087, 33967])).
% 40.90/27.35 tff(33972,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB95) | (~v185(constB95)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB95) | (~v185(constB95)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33973,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB95) | (~v185(constB95)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33974,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB95) | (~v185(constB95))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33973, 33972])).
% 40.90/27.35 tff(33975,plain,
% 40.90/27.35 (~v185(constB95)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33974, 11098, 33971])).
% 40.90/27.35 tff(33976,assumption,(v18(constB96)), introduced(assumption)).
% 40.90/27.35 tff(33977,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB96))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33978,plain,
% 40.90/27.35 ($false),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33977, 11110, 33976])).
% 40.90/27.35 tff(33979,plain,(~v18(constB96)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.35 tff(33980,plain,
% 40.90/27.35 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96)))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.35 tff(33981,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))),
% 40.90/27.35 inference(quant_inst,[status(thm)],[])).
% 40.90/27.35 tff(33982,plain,
% 40.90/27.35 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96))),
% 40.90/27.35 inference(modus_ponens,[status(thm)],[33981, 33980])).
% 40.90/27.35 tff(33983,plain,
% 40.90/27.35 (v22(constB96)),
% 40.90/27.35 inference(unit_resolution,[status(thm)],[33982, 11120, 12537])).
% 40.90/27.35 tff(33984,plain,
% 40.90/27.35 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 40.90/27.35 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(33985,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(33986,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[33985, 33984])).
% 40.90/27.36 tff(33987,plain,
% 40.90/27.36 ((~v19(constB96)) | v18(constB96)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[33986, 11134, 33983])).
% 40.90/27.36 tff(33988,plain,
% 40.90/27.36 (~v19(constB96)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[33987, 33979])).
% 40.90/27.36 tff(33989,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(33990,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(33991,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[33990, 33989])).
% 40.90/27.36 tff(33992,plain,
% 40.90/27.36 (v13(constB96)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[33991, 11149, 33988])).
% 40.90/27.36 tff(33993,plain,
% 40.90/27.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(33994,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(33995,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[33994, 33993])).
% 40.90/27.36 tff(33996,plain,
% 40.90/27.36 ((~v13(constB96)) | v9(constB95)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[33995, 11163, 12517])).
% 40.90/27.36 tff(33997,plain,
% 40.90/27.36 (v9(constB95)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[33996, 33992])).
% 40.90/27.36 tff(33998,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v184(constB95))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB95) | (~v9(constB95)) | v184(constB95))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(33999,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v184(constB95))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34000,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB95) | (~v9(constB95)) | v184(constB95)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[33999, 33998])).
% 40.90/27.36 tff(34001,plain,
% 40.90/27.36 ((~v9(constB95)) | v184(constB95)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34000, 11178, 12400])).
% 40.90/27.36 tff(34002,plain,
% 40.90/27.36 (v184(constB95)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34001, 33997])).
% 40.90/27.36 tff(34003,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB95) | (~v184(constB95)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB95) | (~v184(constB95)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34004,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB95) | (~v184(constB95)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34005,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB95) | (~v184(constB95))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34004, 34003])).
% 40.90/27.36 tff(34006,plain,
% 40.90/27.36 (v183(constB95)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34005, 11190, 34002])).
% 40.90/27.36 tff(34007,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB95)) | (~v183(constB95)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB95)) | (~v183(constB95)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34008,plain,
% 40.90/27.36 (((~v183(constB95)) | (~v181(constB95))) <=> ((~v181(constB95)) | (~v183(constB95)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34009,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB95)) | (~v181(constB95)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB95)) | (~v183(constB95))))),
% 40.90/27.36 inference(monotonicity,[status(thm)],[34008])).
% 40.90/27.36 tff(34010,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB95)) | (~v181(constB95)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB95)) | (~v183(constB95)))),
% 40.90/27.36 inference(transitivity,[status(thm)],[34009, 34007])).
% 40.90/27.36 tff(34011,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB95)) | (~v181(constB95)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34012,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB95)) | (~v183(constB95))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34011, 34010])).
% 40.90/27.36 tff(34013,plain,
% 40.90/27.36 (~v181(constB95)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34012, 11201, 34006])).
% 40.90/27.36 tff(34014,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB95) | v185(constB95) | (~v178(constB95)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB95) | v185(constB95) | (~v178(constB95)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34015,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB95) | v185(constB95) | (~v178(constB95)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34016,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB95) | v185(constB95) | (~v178(constB95))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34015, 34014])).
% 40.90/27.36 tff(34017,plain,
% 40.90/27.36 (v185(constB95) | (~v178(constB95))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34016, 11215, 34013])).
% 40.90/27.36 tff(34018,plain,
% 40.90/27.36 (~v178(constB95)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34017, 33975])).
% 40.90/27.36 tff(34019,plain,
% 40.90/27.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34020,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34021,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34020, 34019])).
% 40.90/27.36 tff(34022,plain,
% 40.90/27.36 (v178(constB95) | (~v180(constB96))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34021, 11230, 12517])).
% 40.90/27.36 tff(34023,plain,
% 40.90/27.36 (~v180(constB96)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34022, 34018])).
% 40.90/27.36 tff(34024,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB96) | (~v181(constB96)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB96) | (~v181(constB96)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34025,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB96) | (~v181(constB96)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34026,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB96) | (~v181(constB96))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34025, 34024])).
% 40.90/27.36 tff(34027,plain,
% 40.90/27.36 (~v181(constB96)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34026, 11242, 34023])).
% 40.90/27.36 tff(34028,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB96)) | (~v184(constB96)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB96)) | (~v184(constB96)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34029,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB96)) | (~v184(constB96)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34030,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB96)) | (~v184(constB96))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34029, 34028])).
% 40.90/27.36 tff(34031,plain,
% 40.90/27.36 (~v184(constB96)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34030, 11253, 12537])).
% 40.90/27.36 tff(34032,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB96) | (~v187(constB96)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB96) | (~v187(constB96)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34033,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB96) | (~v187(constB96)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34034,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB96) | (~v187(constB96))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34033, 34032])).
% 40.90/27.36 tff(34035,plain,
% 40.90/27.36 (~v187(constB96)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34034, 11264, 34031])).
% 40.90/27.36 tff(34036,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB96) | (~v185(constB96)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB96) | (~v185(constB96)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34037,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB96) | (~v185(constB96)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34038,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB96) | (~v185(constB96))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34037, 34036])).
% 40.90/27.36 tff(34039,plain,
% 40.90/27.36 (~v185(constB96)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34038, 11098, 34035])).
% 40.90/27.36 tff(34040,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB96) | v185(constB96) | (~v178(constB96)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB96) | v185(constB96) | (~v178(constB96)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34041,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB96) | v185(constB96) | (~v178(constB96)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34042,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB96) | v185(constB96) | (~v178(constB96))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34041, 34040])).
% 40.90/27.36 tff(34043,plain,
% 40.90/27.36 (v181(constB96) | (~v178(constB96))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34042, 11215, 34039])).
% 40.90/27.36 tff(34044,plain,
% 40.90/27.36 (~v178(constB96)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34043, 34027])).
% 40.90/27.36 tff(34045,plain,
% 40.90/27.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34046,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34047,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34046, 34045])).
% 40.90/27.36 tff(34048,plain,
% 40.90/27.36 (v178(constB96) | (~v180(constB97))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34047, 11230, 12579])).
% 40.90/27.36 tff(34049,plain,
% 40.90/27.36 (~v180(constB97)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34048, 34044])).
% 40.90/27.36 tff(34050,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB97) | (~v181(constB97)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB97) | (~v181(constB97)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34051,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB97) | (~v181(constB97)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34052,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB97) | (~v181(constB97))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34051, 34050])).
% 40.90/27.36 tff(34053,plain,
% 40.90/27.36 (~v181(constB97)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34052, 11242, 34049])).
% 40.90/27.36 tff(34054,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB97) | v185(constB97) | (~v178(constB97)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB97) | v185(constB97) | (~v178(constB97)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34055,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB97) | v185(constB97) | (~v178(constB97)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34056,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB97) | v185(constB97) | (~v178(constB97))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34055, 34054])).
% 40.90/27.36 tff(34057,plain,
% 40.90/27.36 (v185(constB97) | (~v178(constB97))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34056, 11215, 34053])).
% 40.90/27.36 tff(34058,plain,
% 40.90/27.36 (~v178(constB97)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34057, 33910])).
% 40.90/27.36 tff(34059,plain,
% 40.90/27.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34060,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34061,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34060, 34059])).
% 40.90/27.36 tff(34062,plain,
% 40.90/27.36 (v178(constB97) | (~v180(constB98))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34061, 11230, 12677])).
% 40.90/27.36 tff(34063,plain,
% 40.90/27.36 (~v180(constB98)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34062, 34058])).
% 40.90/27.36 tff(34064,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB98) | (~v181(constB98)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB98) | (~v181(constB98)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34065,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB98) | (~v181(constB98)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34066,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB98) | (~v181(constB98))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34065, 34064])).
% 40.90/27.36 tff(34067,plain,
% 40.90/27.36 (~v181(constB98)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34066, 11242, 34063])).
% 40.90/27.36 tff(34068,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB98)) | (~v184(constB98)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB98)) | (~v184(constB98)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34069,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB98)) | (~v184(constB98)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34070,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB98)) | (~v184(constB98))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34069, 34068])).
% 40.90/27.36 tff(34071,plain,
% 40.90/27.36 (~v184(constB98)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34070, 11253, 12761])).
% 40.90/27.36 tff(34072,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB98) | (~v187(constB98)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB98) | (~v187(constB98)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34073,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB98) | (~v187(constB98)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34074,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB98) | (~v187(constB98))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34073, 34072])).
% 40.90/27.36 tff(34075,plain,
% 40.90/27.36 (~v187(constB98)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34074, 11264, 34071])).
% 40.90/27.36 tff(34076,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB98) | (~v185(constB98)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB98) | (~v185(constB98)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34077,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB98) | (~v185(constB98)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34078,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB98) | (~v185(constB98))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34077, 34076])).
% 40.90/27.36 tff(34079,plain,
% 40.90/27.36 (~v185(constB98)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34078, 11098, 34075])).
% 40.90/27.36 tff(34080,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB98) | v185(constB98) | (~v178(constB98)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB98) | v185(constB98) | (~v178(constB98)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34081,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB98) | v185(constB98) | (~v178(constB98)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34082,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB98) | v185(constB98) | (~v178(constB98))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34081, 34080])).
% 40.90/27.36 tff(34083,plain,
% 40.90/27.36 (v181(constB98) | (~v178(constB98))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34082, 11215, 34079])).
% 40.90/27.36 tff(34084,plain,
% 40.90/27.36 (~v178(constB98)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34083, 34067])).
% 40.90/27.36 tff(34085,plain,
% 40.90/27.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34086,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34087,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34086, 34085])).
% 40.90/27.36 tff(34088,plain,
% 40.90/27.36 (v178(constB98) | (~v180(constB99))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34087, 11230, 12788])).
% 40.90/27.36 tff(34089,plain,
% 40.90/27.36 (~v180(constB99)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34088, 34084])).
% 40.90/27.36 tff(34090,plain,
% 40.90/27.36 ($false),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34089, 33843])).
% 40.90/27.36 tff(34091,plain,((~(constB99 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.90/27.36 tff(34092,plain,
% 40.90/27.36 (~(constB99 = sK0_VarCurr)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34091, 10998])).
% 40.90/27.36 tff(34093,assumption,(constB37 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.36 tff(34094,plain,
% 40.90/27.36 (v180(constB37) <=> v180(sK0_VarCurr)),
% 40.90/27.36 inference(monotonicity,[status(thm)],[34093])).
% 40.90/27.36 tff(34095,plain,
% 40.90/27.36 (v180(sK0_VarCurr) <=> v180(constB37)),
% 40.90/27.36 inference(symmetry,[status(thm)],[34094])).
% 40.90/27.36 tff(34096,plain,
% 40.90/27.36 (v180(constB37)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[11002, 34095])).
% 40.90/27.36 tff(34097,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB35) | v170(constB35) | (~v169(constB35)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB35) | v170(constB35) | (~v169(constB35)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34098,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB35) | v170(constB35) | (~v169(constB35)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34099,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB35) | v170(constB35) | (~v169(constB35))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34098, 34097])).
% 40.90/27.36 tff(34100,plain,
% 40.90/27.36 (~v169(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34099, 11040, 33119, 33115])).
% 40.90/27.36 tff(34101,plain,
% 40.90/27.36 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB35)) | (~v165(constB35)) | v169(constB35))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB35)) | (~v165(constB35)) | v169(constB35))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34102,plain,
% 40.90/27.36 (((~v165(constB35)) | v169(constB35) | (~v162(constB35))) <=> ((~v162(constB35)) | (~v165(constB35)) | v169(constB35))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34103,plain,
% 40.90/27.36 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB35)) | v169(constB35) | (~v162(constB35)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB35)) | (~v165(constB35)) | v169(constB35)))),
% 40.90/27.36 inference(monotonicity,[status(thm)],[34102])).
% 40.90/27.36 tff(34104,plain,
% 40.90/27.36 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB35)) | v169(constB35) | (~v162(constB35)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB35)) | (~v165(constB35)) | v169(constB35))),
% 40.90/27.36 inference(transitivity,[status(thm)],[34103, 34101])).
% 40.90/27.36 tff(34105,plain,
% 40.90/27.36 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB35)) | v169(constB35) | (~v162(constB35)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34106,plain,
% 40.90/27.36 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB35)) | (~v165(constB35)) | v169(constB35)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34105, 34104])).
% 40.90/27.36 tff(34107,plain,
% 40.90/27.36 (~v162(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34106, 11073, 33168, 34100])).
% 40.90/27.36 tff(34108,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB35) | (~v187(constB35)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB35) | (~v187(constB35)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34109,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB35) | (~v187(constB35)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34110,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB35) | (~v187(constB35))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34109, 34108])).
% 40.90/27.36 tff(34111,plain,
% 40.90/27.36 (~v187(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34110, 11087, 34107])).
% 40.90/27.36 tff(34112,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB35) | (~v185(constB35)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB35) | (~v185(constB35)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34113,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB35) | (~v185(constB35)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34114,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB35) | (~v185(constB35))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34113, 34112])).
% 40.90/27.36 tff(34115,plain,
% 40.90/27.36 (~v185(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34114, 11098, 34111])).
% 40.90/27.36 tff(34116,assumption,(v18(constB36)), introduced(assumption)).
% 40.90/27.36 tff(34117,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB36))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34118,plain,
% 40.90/27.36 ($false),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34117, 11110, 34116])).
% 40.90/27.36 tff(34119,plain,(~v18(constB36)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.36 tff(34120,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34121,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34122,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34121, 34120])).
% 40.90/27.36 tff(34123,plain,
% 40.90/27.36 (v22(constB36)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34122, 11120, 4994])).
% 40.90/27.36 tff(34124,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB36)) | (~v22(constB36)) | v18(constB36))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB36)) | (~v22(constB36)) | v18(constB36))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34125,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB36)) | (~v22(constB36)) | v18(constB36))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34126,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB36)) | (~v22(constB36)) | v18(constB36)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34125, 34124])).
% 40.90/27.36 tff(34127,plain,
% 40.90/27.36 ((~v19(constB36)) | v18(constB36)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34126, 11134, 34123])).
% 40.90/27.36 tff(34128,plain,
% 40.90/27.36 (~v19(constB36)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34127, 34119])).
% 40.90/27.36 tff(34129,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34130,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34131,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34130, 34129])).
% 40.90/27.36 tff(34132,plain,
% 40.90/27.36 (v13(constB36)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34131, 11149, 34128])).
% 40.90/27.36 tff(34133,plain,
% 40.90/27.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34134,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34135,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34134, 34133])).
% 40.90/27.36 tff(34136,plain,
% 40.90/27.36 ((~v13(constB36)) | v9(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34135, 11163, 4974])).
% 40.90/27.36 tff(34137,plain,
% 40.90/27.36 (v9(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34136, 34132])).
% 40.90/27.36 tff(34138,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v184(constB35))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB35) | (~v9(constB35)) | v184(constB35))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34139,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v184(constB35))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34140,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB35) | (~v9(constB35)) | v184(constB35)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34139, 34138])).
% 40.90/27.36 tff(34141,plain,
% 40.90/27.36 ((~v9(constB35)) | v184(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34140, 11178, 4857])).
% 40.90/27.36 tff(34142,plain,
% 40.90/27.36 (v184(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34141, 34137])).
% 40.90/27.36 tff(34143,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB35) | (~v184(constB35)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB35) | (~v184(constB35)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34144,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB35) | (~v184(constB35)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34145,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB35) | (~v184(constB35))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34144, 34143])).
% 40.90/27.36 tff(34146,plain,
% 40.90/27.36 (v183(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34145, 11190, 34142])).
% 40.90/27.36 tff(34147,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB35)) | (~v183(constB35)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB35)) | (~v183(constB35)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34148,plain,
% 40.90/27.36 (((~v183(constB35)) | (~v181(constB35))) <=> ((~v181(constB35)) | (~v183(constB35)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34149,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB35)) | (~v181(constB35)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB35)) | (~v183(constB35))))),
% 40.90/27.36 inference(monotonicity,[status(thm)],[34148])).
% 40.90/27.36 tff(34150,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB35)) | (~v181(constB35)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB35)) | (~v183(constB35)))),
% 40.90/27.36 inference(transitivity,[status(thm)],[34149, 34147])).
% 40.90/27.36 tff(34151,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB35)) | (~v181(constB35)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34152,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB35)) | (~v183(constB35))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34151, 34150])).
% 40.90/27.36 tff(34153,plain,
% 40.90/27.36 (~v181(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34152, 11201, 34146])).
% 40.90/27.36 tff(34154,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB35) | v185(constB35) | (~v178(constB35)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB35) | v185(constB35) | (~v178(constB35)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34155,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB35) | v185(constB35) | (~v178(constB35)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34156,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB35) | v185(constB35) | (~v178(constB35))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34155, 34154])).
% 40.90/27.36 tff(34157,plain,
% 40.90/27.36 (v185(constB35) | (~v178(constB35))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34156, 11215, 34153])).
% 40.90/27.36 tff(34158,plain,
% 40.90/27.36 (~v178(constB35)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34157, 34115])).
% 40.90/27.36 tff(34159,plain,
% 40.90/27.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB35, constB36)) | v178(constB35) | (~v180(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB35, constB36)) | v178(constB35) | (~v180(constB36)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34160,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB35, constB36)) | v178(constB35) | (~v180(constB36)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34161,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB35, constB36)) | v178(constB35) | (~v180(constB36))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34160, 34159])).
% 40.90/27.36 tff(34162,plain,
% 40.90/27.36 (v178(constB35) | (~v180(constB36))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34161, 11230, 4974])).
% 40.90/27.36 tff(34163,plain,
% 40.90/27.36 (~v180(constB36)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34162, 34158])).
% 40.90/27.36 tff(34164,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB36) | (~v181(constB36)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB36) | (~v181(constB36)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34165,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB36) | (~v181(constB36)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34166,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB36) | (~v181(constB36))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34165, 34164])).
% 40.90/27.36 tff(34167,plain,
% 40.90/27.36 (~v181(constB36)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34166, 11242, 34163])).
% 40.90/27.36 tff(34168,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB36)) | (~v184(constB36)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB36)) | (~v184(constB36)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34169,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB36)) | (~v184(constB36)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34170,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB36)) | (~v184(constB36))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34169, 34168])).
% 40.90/27.36 tff(34171,plain,
% 40.90/27.36 (~v184(constB36)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34170, 11253, 4994])).
% 40.90/27.36 tff(34172,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB36) | (~v187(constB36)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB36) | (~v187(constB36)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34173,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB36) | (~v187(constB36)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34174,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB36) | (~v187(constB36))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34173, 34172])).
% 40.90/27.36 tff(34175,plain,
% 40.90/27.36 (~v187(constB36)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34174, 11264, 34171])).
% 40.90/27.36 tff(34176,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB36) | (~v185(constB36)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB36) | (~v185(constB36)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34177,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB36) | (~v185(constB36)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34178,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB36) | (~v185(constB36))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34177, 34176])).
% 40.90/27.36 tff(34179,plain,
% 40.90/27.36 (~v185(constB36)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34178, 11098, 34175])).
% 40.90/27.36 tff(34180,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB36) | v185(constB36) | (~v178(constB36)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB36) | v185(constB36) | (~v178(constB36)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34181,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB36) | v185(constB36) | (~v178(constB36)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34182,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB36) | v185(constB36) | (~v178(constB36))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34181, 34180])).
% 40.90/27.36 tff(34183,plain,
% 40.90/27.36 (v181(constB36) | (~v178(constB36))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34182, 11215, 34179])).
% 40.90/27.36 tff(34184,plain,
% 40.90/27.36 (~v178(constB36)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34183, 34167])).
% 40.90/27.36 tff(34185,plain,
% 40.90/27.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB36, constB37)) | v178(constB36) | (~v180(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB36, constB37)) | v178(constB36) | (~v180(constB37)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34186,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB36, constB37)) | v178(constB36) | (~v180(constB37)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34187,plain,
% 40.90/27.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB36, constB37)) | v178(constB36) | (~v180(constB37))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34186, 34185])).
% 40.90/27.36 tff(34188,plain,
% 40.90/27.36 (v178(constB36) | (~v180(constB37))),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34187, 11230, 5036])).
% 40.90/27.36 tff(34189,plain,
% 40.90/27.36 (~v180(constB37)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34188, 34184])).
% 40.90/27.36 tff(34190,plain,
% 40.90/27.36 ($false),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34189, 34096])).
% 40.90/27.36 tff(34191,plain,((~(constB37 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.90/27.36 tff(34192,plain,
% 40.90/27.36 (~(constB37 = sK0_VarCurr)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34191, 10998])).
% 40.90/27.36 tff(34193,assumption,(constB8 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.36 tff(34194,plain,
% 40.90/27.36 (v1(constB8) <=> v1(sK0_VarCurr)),
% 40.90/27.36 inference(monotonicity,[status(thm)],[34193])).
% 40.90/27.36 tff(34195,plain,
% 40.90/27.36 (v1(sK0_VarCurr) <=> v1(constB8)),
% 40.90/27.36 inference(symmetry,[status(thm)],[34194])).
% 40.90/27.36 tff(34196,plain,
% 40.90/27.36 ((~v1(sK0_VarCurr)) <=> (~v1(constB8))),
% 40.90/27.36 inference(monotonicity,[status(thm)],[34195])).
% 40.90/27.36 tff(34197,plain,
% 40.90/27.36 (~v1(constB8)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[21332, 34196])).
% 40.90/27.36 tff(34198,plain,
% 40.90/27.36 ($false),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[2076, 34197])).
% 40.90/27.36 tff(34199,plain,((~(constB8 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.36 tff(34200,plain,
% 40.90/27.36 (~(constB8 = sK0_VarCurr)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34199, 21327])).
% 40.90/27.36 tff(34201,assumption,(constB118 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.36 tff(34202,plain,
% 40.90/27.36 (v1(constB118) <=> v1(sK0_VarCurr)),
% 40.90/27.36 inference(monotonicity,[status(thm)],[34201])).
% 40.90/27.36 tff(34203,plain,
% 40.90/27.36 (v1(sK0_VarCurr) <=> v1(constB118)),
% 40.90/27.36 inference(symmetry,[status(thm)],[34202])).
% 40.90/27.36 tff(34204,plain,
% 40.90/27.36 ((~v1(sK0_VarCurr)) <=> (~v1(constB118))),
% 40.90/27.36 inference(monotonicity,[status(thm)],[34203])).
% 40.90/27.36 tff(34205,plain,
% 40.90/27.36 (~v1(constB118)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[21332, 34204])).
% 40.90/27.36 tff(34206,plain,
% 40.90/27.36 ($false),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[14703, 34205])).
% 40.90/27.36 tff(34207,plain,((~(constB118 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.36 tff(34208,plain,
% 40.90/27.36 (~(constB118 = sK0_VarCurr)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34207, 21327])).
% 40.90/27.36 tff(34209,assumption,(constB115 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.36 tff(34210,plain,
% 40.90/27.36 (v180(constB115) <=> v180(sK0_VarCurr)),
% 40.90/27.36 inference(monotonicity,[status(thm)],[34209])).
% 40.90/27.36 tff(34211,plain,
% 40.90/27.36 (v180(sK0_VarCurr) <=> v180(constB115)),
% 40.90/27.36 inference(symmetry,[status(thm)],[34210])).
% 40.90/27.36 tff(34212,plain,
% 40.90/27.36 (v180(constB115)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[11002, 34211])).
% 40.90/27.36 tff(34213,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB113, bitIndex2) | (~v88(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB113, bitIndex2) | (~v88(constB113, bitIndex2)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34214,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB113, bitIndex2) | (~v88(constB113, bitIndex2)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34215,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB113, bitIndex2) | (~v88(constB113, bitIndex2))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34214, 34213])).
% 40.90/27.36 tff(34216,plain,
% 40.90/27.36 (~v88(constB113, bitIndex2)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34215, 22090, 14160])).
% 40.90/27.36 tff(34217,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB113, bitIndex0) | (~v88(constB113, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB113, bitIndex0) | (~v88(constB113, bitIndex0)))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34218,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB113, bitIndex0) | (~v88(constB113, bitIndex0)))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34219,plain,
% 40.90/27.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB113, bitIndex0) | (~v88(constB113, bitIndex0))),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34218, 34217])).
% 40.90/27.36 tff(34220,plain,
% 40.90/27.36 (~v88(constB113, bitIndex0)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34219, 14645, 14225])).
% 40.90/27.36 tff(34221,plain,
% 40.90/27.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB113, bitIndex1)) | v88(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB113, bitIndex1)) | v88(constB113, bitIndex1))),
% 40.90/27.36 inference(rewrite,[status(thm)],[])).
% 40.90/27.36 tff(34222,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB113, bitIndex1)) | v88(constB113, bitIndex1))),
% 40.90/27.36 inference(quant_inst,[status(thm)],[])).
% 40.90/27.36 tff(34223,plain,
% 40.90/27.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB113, bitIndex1)) | v88(constB113, bitIndex1)),
% 40.90/27.36 inference(modus_ponens,[status(thm)],[34222, 34221])).
% 40.90/27.36 tff(34224,plain,
% 40.90/27.36 (v88(constB113, bitIndex1)),
% 40.90/27.36 inference(unit_resolution,[status(thm)],[34223, 21131, 14191])).
% 40.90/27.36 tff(34225,plain,
% 40.90/27.36 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v143(constB113) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0) | (~v88(constB113, bitIndex1)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB113) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0) | (~v88(constB113, bitIndex1)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34226,plain,
% 40.90/27.37 ((v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0) | v143(constB113)) <=> (v143(constB113) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0) | (~v88(constB113, bitIndex1)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34227,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0) | v143(constB113))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v143(constB113) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0) | (~v88(constB113, bitIndex1))))),
% 40.90/27.37 inference(monotonicity,[status(thm)],[34226])).
% 40.90/27.37 tff(34228,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0) | v143(constB113))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB113) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0) | (~v88(constB113, bitIndex1)))),
% 40.90/27.37 inference(transitivity,[status(thm)],[34227, 34225])).
% 40.90/27.37 tff(34229,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0) | v143(constB113))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34230,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB113) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0) | (~v88(constB113, bitIndex1))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34229, 34228])).
% 40.90/27.37 tff(34231,plain,
% 40.90/27.37 (v143(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34230, 22766, 34224, 34220, 34216])).
% 40.90/27.37 tff(34232,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB113) | (~v143(constB113)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB113) | (~v143(constB113)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34233,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB113) | (~v143(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34234,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB113) | (~v143(constB113))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34233, 34232])).
% 40.90/27.37 tff(34235,plain,
% 40.90/27.37 (v142(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34234, 22780, 34231])).
% 40.90/27.37 tff(34236,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB113) | (~v142(constB113)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB113) | (~v142(constB113)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34237,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB113) | (~v142(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34238,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB113) | (~v142(constB113))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34237, 34236])).
% 40.90/27.37 tff(34239,plain,
% 40.90/27.37 (v166(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34238, 21170, 34235])).
% 40.90/27.37 tff(34240,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB113) | (~v166(constB113)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB113) | (~v166(constB113)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34241,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB113) | (~v166(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34242,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB113) | (~v166(constB113))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34241, 34240])).
% 40.90/27.37 tff(34243,plain,
% 40.90/27.37 (v165(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34242, 21181, 34239])).
% 40.90/27.37 tff(34244,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB113)) | (~v88(constB113, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB113)) | (~v88(constB113, bitIndex1)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34245,plain,
% 40.90/27.37 (((~v88(constB113, bitIndex1)) | (~v139(constB113))) <=> ((~v139(constB113)) | (~v88(constB113, bitIndex1)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34246,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB113, bitIndex1)) | (~v139(constB113)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB113)) | (~v88(constB113, bitIndex1))))),
% 40.90/27.37 inference(monotonicity,[status(thm)],[34245])).
% 40.90/27.37 tff(34247,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB113, bitIndex1)) | (~v139(constB113)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB113)) | (~v88(constB113, bitIndex1)))),
% 40.90/27.37 inference(transitivity,[status(thm)],[34246, 34244])).
% 40.90/27.37 tff(34248,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB113, bitIndex1)) | (~v139(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34249,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB113)) | (~v88(constB113, bitIndex1))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34248, 34247])).
% 40.90/27.37 tff(34250,plain,
% 40.90/27.37 (~v139(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34249, 21192, 34224])).
% 40.90/27.37 tff(34251,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB113)) | (~v88(constB113, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB113)) | (~v88(constB113, bitIndex1)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34252,plain,
% 40.90/27.37 (((~v88(constB113, bitIndex1)) | (~v140(constB113))) <=> ((~v140(constB113)) | (~v88(constB113, bitIndex1)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34253,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB113, bitIndex1)) | (~v140(constB113)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB113)) | (~v88(constB113, bitIndex1))))),
% 40.90/27.37 inference(monotonicity,[status(thm)],[34252])).
% 40.90/27.37 tff(34254,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB113, bitIndex1)) | (~v140(constB113)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB113)) | (~v88(constB113, bitIndex1)))),
% 40.90/27.37 inference(transitivity,[status(thm)],[34253, 34251])).
% 40.90/27.37 tff(34255,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB113, bitIndex1)) | (~v140(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34256,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB113)) | (~v88(constB113, bitIndex1))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34255, 34254])).
% 40.90/27.37 tff(34257,plain,
% 40.90/27.37 (~v140(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34256, 21203, 34224])).
% 40.90/27.37 tff(34258,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB113)) | v140(constB113) | v139(constB113))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB113)) | v140(constB113) | v139(constB113))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34259,plain,
% 40.90/27.37 ((v140(constB113) | v139(constB113) | (~v170(constB113))) <=> ((~v170(constB113)) | v140(constB113) | v139(constB113))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34260,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB113) | v139(constB113) | (~v170(constB113)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB113)) | v140(constB113) | v139(constB113)))),
% 40.90/27.37 inference(monotonicity,[status(thm)],[34259])).
% 40.90/27.37 tff(34261,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB113) | v139(constB113) | (~v170(constB113)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB113)) | v140(constB113) | v139(constB113))),
% 40.90/27.37 inference(transitivity,[status(thm)],[34260, 34258])).
% 40.90/27.37 tff(34262,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB113) | v139(constB113) | (~v170(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34263,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB113)) | v140(constB113) | v139(constB113)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34262, 34261])).
% 40.90/27.37 tff(34264,plain,
% 40.90/27.37 (~v170(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34263, 10647, 34257, 34250])).
% 40.90/27.37 tff(34265,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | ((~v141(constB113)) | v88(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB113)) | v88(constB113, bitIndex0))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34266,plain,
% 40.90/27.37 ((v88(constB113, bitIndex0) | (~v141(constB113))) <=> ((~v141(constB113)) | v88(constB113, bitIndex0))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34267,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB113, bitIndex0) | (~v141(constB113)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | ((~v141(constB113)) | v88(constB113, bitIndex0)))),
% 40.90/27.37 inference(monotonicity,[status(thm)],[34266])).
% 40.90/27.37 tff(34268,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB113, bitIndex0) | (~v141(constB113)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB113)) | v88(constB113, bitIndex0))),
% 40.90/27.37 inference(transitivity,[status(thm)],[34267, 34265])).
% 40.90/27.37 tff(34269,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB113, bitIndex0) | (~v141(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34270,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB113)) | v88(constB113, bitIndex0)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34269, 34268])).
% 40.90/27.37 tff(34271,plain,
% 40.90/27.37 (~v141(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34270, 22820, 34220])).
% 40.90/27.37 tff(34272,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB113) | v170(constB113) | (~v169(constB113)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB113) | v170(constB113) | (~v169(constB113)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34273,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB113) | v170(constB113) | (~v169(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34274,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB113) | v170(constB113) | (~v169(constB113))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34273, 34272])).
% 40.90/27.37 tff(34275,plain,
% 40.90/27.37 (~v169(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34274, 11040, 34271, 34264])).
% 40.90/27.37 tff(34276,plain,
% 40.90/27.37 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB113)) | (~v165(constB113)) | v169(constB113))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB113)) | (~v165(constB113)) | v169(constB113))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34277,plain,
% 40.90/27.37 (((~v165(constB113)) | v169(constB113) | (~v162(constB113))) <=> ((~v162(constB113)) | (~v165(constB113)) | v169(constB113))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34278,plain,
% 40.90/27.37 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB113)) | v169(constB113) | (~v162(constB113)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB113)) | (~v165(constB113)) | v169(constB113)))),
% 40.90/27.37 inference(monotonicity,[status(thm)],[34277])).
% 40.90/27.37 tff(34279,plain,
% 40.90/27.37 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB113)) | v169(constB113) | (~v162(constB113)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB113)) | (~v165(constB113)) | v169(constB113))),
% 40.90/27.37 inference(transitivity,[status(thm)],[34278, 34276])).
% 40.90/27.37 tff(34280,plain,
% 40.90/27.37 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB113)) | v169(constB113) | (~v162(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34281,plain,
% 40.90/27.37 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB113)) | (~v165(constB113)) | v169(constB113)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34280, 34279])).
% 40.90/27.37 tff(34282,plain,
% 40.90/27.37 ((~v162(constB113)) | (~v165(constB113))),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34281, 11073, 34275])).
% 40.90/27.37 tff(34283,plain,
% 40.90/27.37 (~v162(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34282, 34243])).
% 40.90/27.37 tff(34284,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB113) | (~v187(constB113)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB113) | (~v187(constB113)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34285,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB113) | (~v187(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34286,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB113) | (~v187(constB113))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34285, 34284])).
% 40.90/27.37 tff(34287,plain,
% 40.90/27.37 (~v187(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34286, 11087, 34283])).
% 40.90/27.37 tff(34288,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB113) | (~v185(constB113)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB113) | (~v185(constB113)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34289,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB113) | (~v185(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34290,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB113) | (~v185(constB113))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34289, 34288])).
% 40.90/27.37 tff(34291,plain,
% 40.90/27.37 (~v185(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34290, 11098, 34287])).
% 40.90/27.37 tff(34292,assumption,(v18(constB114)), introduced(assumption)).
% 40.90/27.37 tff(34293,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB114))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34294,plain,
% 40.90/27.37 ($false),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34293, 11110, 34292])).
% 40.90/27.37 tff(34295,plain,(~v18(constB114)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.37 tff(34296,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34297,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34298,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34297, 34296])).
% 40.90/27.37 tff(34299,plain,
% 40.90/27.37 (v22(constB114)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34298, 11120, 14285])).
% 40.90/27.37 tff(34300,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB114)) | (~v22(constB114)) | v18(constB114))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB114)) | (~v22(constB114)) | v18(constB114))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34301,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB114)) | (~v22(constB114)) | v18(constB114))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34302,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB114)) | (~v22(constB114)) | v18(constB114)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34301, 34300])).
% 40.90/27.37 tff(34303,plain,
% 40.90/27.37 ((~v19(constB114)) | v18(constB114)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34302, 11134, 34299])).
% 40.90/27.37 tff(34304,plain,
% 40.90/27.37 (~v19(constB114)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34303, 34295])).
% 40.90/27.37 tff(34305,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34306,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34307,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34306, 34305])).
% 40.90/27.37 tff(34308,plain,
% 40.90/27.37 (v13(constB114)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34307, 11149, 34304])).
% 40.90/27.37 tff(34309,plain,
% 40.90/27.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34310,plain,
% 40.90/27.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34311,plain,
% 40.90/27.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34310, 34309])).
% 40.90/27.37 tff(34312,plain,
% 40.90/27.37 ((~v13(constB114)) | v9(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34311, 11163, 14265])).
% 40.90/27.37 tff(34313,plain,
% 40.90/27.37 (v9(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34312, 34308])).
% 40.90/27.37 tff(34314,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v184(constB113))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB113) | (~v9(constB113)) | v184(constB113))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34315,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v184(constB113))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34316,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB113) | (~v9(constB113)) | v184(constB113)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34315, 34314])).
% 40.90/27.37 tff(34317,plain,
% 40.90/27.37 ((~v9(constB113)) | v184(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34316, 11178, 14136])).
% 40.90/27.37 tff(34318,plain,
% 40.90/27.37 (v184(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34317, 34313])).
% 40.90/27.37 tff(34319,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB113) | (~v184(constB113)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB113) | (~v184(constB113)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34320,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB113) | (~v184(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34321,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB113) | (~v184(constB113))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34320, 34319])).
% 40.90/27.37 tff(34322,plain,
% 40.90/27.37 (v183(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34321, 11190, 34318])).
% 40.90/27.37 tff(34323,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB113)) | (~v183(constB113)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB113)) | (~v183(constB113)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34324,plain,
% 40.90/27.37 (((~v183(constB113)) | (~v181(constB113))) <=> ((~v181(constB113)) | (~v183(constB113)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34325,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB113)) | (~v181(constB113)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB113)) | (~v183(constB113))))),
% 40.90/27.37 inference(monotonicity,[status(thm)],[34324])).
% 40.90/27.37 tff(34326,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB113)) | (~v181(constB113)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB113)) | (~v183(constB113)))),
% 40.90/27.37 inference(transitivity,[status(thm)],[34325, 34323])).
% 40.90/27.37 tff(34327,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB113)) | (~v181(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34328,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB113)) | (~v183(constB113))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34327, 34326])).
% 40.90/27.37 tff(34329,plain,
% 40.90/27.37 (~v181(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34328, 11201, 34322])).
% 40.90/27.37 tff(34330,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB113) | v185(constB113) | (~v178(constB113)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB113) | v185(constB113) | (~v178(constB113)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34331,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB113) | v185(constB113) | (~v178(constB113)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34332,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB113) | v185(constB113) | (~v178(constB113))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34331, 34330])).
% 40.90/27.37 tff(34333,plain,
% 40.90/27.37 (v185(constB113) | (~v178(constB113))),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34332, 11215, 34329])).
% 40.90/27.37 tff(34334,plain,
% 40.90/27.37 (~v178(constB113)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34333, 34291])).
% 40.90/27.37 tff(34335,plain,
% 40.90/27.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34336,plain,
% 40.90/27.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34337,plain,
% 40.90/27.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34336, 34335])).
% 40.90/27.37 tff(34338,plain,
% 40.90/27.37 (v178(constB113) | (~v180(constB114))),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34337, 11230, 14265])).
% 40.90/27.37 tff(34339,plain,
% 40.90/27.37 (~v180(constB114)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34338, 34334])).
% 40.90/27.37 tff(34340,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB114) | (~v181(constB114)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB114) | (~v181(constB114)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34341,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB114) | (~v181(constB114)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34342,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB114) | (~v181(constB114))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34341, 34340])).
% 40.90/27.37 tff(34343,plain,
% 40.90/27.37 (~v181(constB114)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34342, 11242, 34339])).
% 40.90/27.37 tff(34344,plain,
% 40.90/27.37 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB114)) | (~v184(constB114)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB114)) | (~v184(constB114)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34345,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB114)) | (~v184(constB114)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34346,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB114)) | (~v184(constB114))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34345, 34344])).
% 40.90/27.37 tff(34347,plain,
% 40.90/27.37 (~v184(constB114)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34346, 11253, 14285])).
% 40.90/27.37 tff(34348,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB114) | (~v187(constB114)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB114) | (~v187(constB114)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34349,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB114) | (~v187(constB114)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34350,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB114) | (~v187(constB114))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34349, 34348])).
% 40.90/27.37 tff(34351,plain,
% 40.90/27.37 (~v187(constB114)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34350, 11264, 34347])).
% 40.90/27.37 tff(34352,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB114) | (~v185(constB114)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB114) | (~v185(constB114)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34353,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB114) | (~v185(constB114)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34354,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB114) | (~v185(constB114))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34353, 34352])).
% 40.90/27.37 tff(34355,plain,
% 40.90/27.37 (~v185(constB114)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34354, 11098, 34351])).
% 40.90/27.37 tff(34356,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB114) | v185(constB114) | (~v178(constB114)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB114) | v185(constB114) | (~v178(constB114)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34357,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB114) | v185(constB114) | (~v178(constB114)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34358,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB114) | v185(constB114) | (~v178(constB114))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34357, 34356])).
% 40.90/27.37 tff(34359,plain,
% 40.90/27.37 (v181(constB114) | (~v178(constB114))),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34358, 11215, 34355])).
% 40.90/27.37 tff(34360,plain,
% 40.90/27.37 (~v178(constB114)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34359, 34343])).
% 40.90/27.37 tff(34361,plain,
% 40.90/27.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34362,plain,
% 40.90/27.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34363,plain,
% 40.90/27.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34362, 34361])).
% 40.90/27.37 tff(34364,plain,
% 40.90/27.37 (v178(constB114) | (~v180(constB115))),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34363, 11230, 14330])).
% 40.90/27.37 tff(34365,plain,
% 40.90/27.37 (~v180(constB115)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34364, 34360])).
% 40.90/27.37 tff(34366,plain,
% 40.90/27.37 ($false),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34365, 34212])).
% 40.90/27.37 tff(34367,plain,((~(constB115 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.90/27.37 tff(34368,plain,
% 40.90/27.37 (~(constB115 = sK0_VarCurr)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34367, 10998])).
% 40.90/27.37 tff(34369,assumption,(constB97 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.37 tff(34370,plain,
% 40.90/27.37 (v180(constB97) <=> v180(sK0_VarCurr)),
% 40.90/27.37 inference(monotonicity,[status(thm)],[34369])).
% 40.90/27.37 tff(34371,plain,
% 40.90/27.37 (v180(sK0_VarCurr) <=> v180(constB97)),
% 40.90/27.37 inference(symmetry,[status(thm)],[34370])).
% 40.90/27.37 tff(34372,plain,
% 40.90/27.37 (v180(constB97)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[11002, 34371])).
% 40.90/27.37 tff(34373,plain,
% 40.90/27.37 ($false),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34049, 34372])).
% 40.90/27.37 tff(34374,plain,((~(constB97 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.90/27.37 tff(34375,plain,
% 40.90/27.37 (~(constB97 = sK0_VarCurr)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34374, 10998])).
% 40.90/27.37 tff(34376,assumption,(constB19 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.37 tff(34377,plain,
% 40.90/27.37 (v180(constB19) <=> v180(sK0_VarCurr)),
% 40.90/27.37 inference(monotonicity,[status(thm)],[34376])).
% 40.90/27.37 tff(34378,plain,
% 40.90/27.37 (v180(sK0_VarCurr) <=> v180(constB19)),
% 40.90/27.37 inference(symmetry,[status(thm)],[34377])).
% 40.90/27.37 tff(34379,plain,
% 40.90/27.37 (v180(constB19)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[11002, 34378])).
% 40.90/27.37 tff(34380,plain,
% 40.90/27.37 (((~![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)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34381,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34382,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34381, 34380])).
% 40.90/27.37 tff(34383,plain,
% 40.90/27.37 (~v88(constB17, bitIndex2)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34382, 22090, 2928])).
% 40.90/27.37 tff(34384,plain,
% 40.90/27.37 (((~![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)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34385,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB17, bitIndex0) | (~v88(constB17, bitIndex0)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34386,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB17, bitIndex0) | (~v88(constB17, bitIndex0))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34385, 34384])).
% 40.90/27.37 tff(34387,plain,
% 40.90/27.37 (~v88(constB17, bitIndex0)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34386, 14645, 2993])).
% 40.90/27.37 tff(34388,plain,
% 40.90/27.37 (((~![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))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34389,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34390,plain,
% 40.90/27.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34389, 34388])).
% 40.90/27.37 tff(34391,plain,
% 40.90/27.37 (v88(constB17, bitIndex1)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34390, 21131, 2959])).
% 40.90/27.37 tff(34392,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | v143(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | v143(constB17))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34393,plain,
% 40.90/27.37 ((v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17)) <=> ((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | v143(constB17))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34394,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | v143(constB17)))),
% 40.90/27.37 inference(monotonicity,[status(thm)],[34393])).
% 40.90/27.37 tff(34395,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | v143(constB17))),
% 40.90/27.37 inference(transitivity,[status(thm)],[34394, 34392])).
% 40.90/27.37 tff(34396,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34397,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | v143(constB17)),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34396, 34395])).
% 40.90/27.37 tff(34398,plain,
% 40.90/27.37 (v143(constB17)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34397, 22766, 34391, 34387, 34383])).
% 40.90/27.37 tff(34399,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB17) | (~v143(constB17)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB17) | (~v143(constB17)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34400,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB17) | (~v143(constB17)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34401,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB17) | (~v143(constB17))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34400, 34399])).
% 40.90/27.37 tff(34402,plain,
% 40.90/27.37 (v142(constB17)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34401, 22780, 34398])).
% 40.90/27.37 tff(34403,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB17) | (~v142(constB17)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB17) | (~v142(constB17)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.37 tff(34404,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB17) | (~v142(constB17)))),
% 40.90/27.37 inference(quant_inst,[status(thm)],[])).
% 40.90/27.37 tff(34405,plain,
% 40.90/27.37 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB17) | (~v142(constB17))),
% 40.90/27.37 inference(modus_ponens,[status(thm)],[34404, 34403])).
% 40.90/27.37 tff(34406,plain,
% 40.90/27.37 (v166(constB17)),
% 40.90/27.37 inference(unit_resolution,[status(thm)],[34405, 21170, 34402])).
% 40.90/27.37 tff(34407,plain,
% 40.90/27.37 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB17) | (~v166(constB17)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB17) | (~v166(constB17)))),
% 40.90/27.37 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34408,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB17) | (~v166(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34409,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB17) | (~v166(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34408, 34407])).
% 40.90/27.38 tff(34410,plain,
% 40.90/27.38 (v165(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34409, 21181, 34406])).
% 40.90/27.38 tff(34411,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB17, bitIndex1)) | (~v139(constB17)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB17, bitIndex1)) | (~v139(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34412,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB17, bitIndex1)) | (~v139(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34413,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB17, bitIndex1)) | (~v139(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34412, 34411])).
% 40.90/27.38 tff(34414,plain,
% 40.90/27.38 (~v139(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34413, 21192, 34391])).
% 40.90/27.38 tff(34415,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB17, bitIndex1)) | (~v140(constB17)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB17, bitIndex1)) | (~v140(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34416,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB17, bitIndex1)) | (~v140(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34417,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB17, bitIndex1)) | (~v140(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34416, 34415])).
% 40.90/27.38 tff(34418,plain,
% 40.90/27.38 (~v140(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34417, 21203, 34391])).
% 40.90/27.38 tff(34419,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v170(constB17)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB17) | v140(constB17) | (~v170(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34420,plain,
% 40.90/27.38 ((v140(constB17) | v139(constB17) | (~v170(constB17))) <=> (v139(constB17) | v140(constB17) | (~v170(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34421,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB17) | v139(constB17) | (~v170(constB17)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v170(constB17))))),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34420])).
% 40.90/27.38 tff(34422,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB17) | v139(constB17) | (~v170(constB17)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB17) | v140(constB17) | (~v170(constB17)))),
% 40.90/27.38 inference(transitivity,[status(thm)],[34421, 34419])).
% 40.90/27.38 tff(34423,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB17) | v139(constB17) | (~v170(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34424,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v139(constB17) | v140(constB17) | (~v170(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34423, 34422])).
% 40.90/27.38 tff(34425,plain,
% 40.90/27.38 (~v170(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34424, 10647, 34418, 34414])).
% 40.90/27.38 tff(34426,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB17, bitIndex0) | (~v141(constB17)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB17, bitIndex0) | (~v141(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34427,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB17, bitIndex0) | (~v141(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34428,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB17, bitIndex0) | (~v141(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34427, 34426])).
% 40.90/27.38 tff(34429,plain,
% 40.90/27.38 (~v141(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34428, 22820, 34387])).
% 40.90/27.38 tff(34430,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB17) | v170(constB17) | (~v169(constB17)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB17) | v170(constB17) | (~v169(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34431,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB17) | v170(constB17) | (~v169(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34432,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB17) | v170(constB17) | (~v169(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34431, 34430])).
% 40.90/27.38 tff(34433,plain,
% 40.90/27.38 (~v169(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34432, 11040, 34429, 34425])).
% 40.90/27.38 tff(34434,plain,
% 40.90/27.38 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB17)) | (~v165(constB17)) | v169(constB17))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB17)) | (~v165(constB17)) | v169(constB17))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34435,plain,
% 40.90/27.38 (((~v165(constB17)) | v169(constB17) | (~v162(constB17))) <=> ((~v162(constB17)) | (~v165(constB17)) | v169(constB17))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34436,plain,
% 40.90/27.38 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB17)) | v169(constB17) | (~v162(constB17)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB17)) | (~v165(constB17)) | v169(constB17)))),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34435])).
% 40.90/27.38 tff(34437,plain,
% 40.90/27.38 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB17)) | v169(constB17) | (~v162(constB17)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB17)) | (~v165(constB17)) | v169(constB17))),
% 40.90/27.38 inference(transitivity,[status(thm)],[34436, 34434])).
% 40.90/27.38 tff(34438,plain,
% 40.90/27.38 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB17)) | v169(constB17) | (~v162(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34439,plain,
% 40.90/27.38 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB17)) | (~v165(constB17)) | v169(constB17)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34438, 34437])).
% 40.90/27.38 tff(34440,plain,
% 40.90/27.38 ((~v162(constB17)) | (~v165(constB17))),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34439, 11073, 34433])).
% 40.90/27.38 tff(34441,plain,
% 40.90/27.38 (~v162(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34440, 34410])).
% 40.90/27.38 tff(34442,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB17) | (~v187(constB17)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB17) | (~v187(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34443,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB17) | (~v187(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34444,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB17) | (~v187(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34443, 34442])).
% 40.90/27.38 tff(34445,plain,
% 40.90/27.38 (~v187(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34444, 11087, 34441])).
% 40.90/27.38 tff(34446,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB17) | (~v185(constB17)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB17) | (~v185(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34447,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB17) | (~v185(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34448,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB17) | (~v185(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34447, 34446])).
% 40.90/27.38 tff(34449,plain,
% 40.90/27.38 (~v185(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34448, 11098, 34445])).
% 40.90/27.38 tff(34450,assumption,(v18(constB18)), introduced(assumption)).
% 40.90/27.38 tff(34451,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB18))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34452,plain,
% 40.90/27.38 ($false),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34451, 11110, 34450])).
% 40.90/27.38 tff(34453,plain,(~v18(constB18)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.38 tff(34454,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34455,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34456,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34455, 34454])).
% 40.90/27.38 tff(34457,plain,
% 40.90/27.38 (v22(constB18)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34456, 11120, 3049])).
% 40.90/27.38 tff(34458,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB18)) | (~v22(constB18)) | v18(constB18))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB18)) | (~v22(constB18)) | v18(constB18))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34459,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB18)) | (~v22(constB18)) | v18(constB18))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34460,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB18)) | (~v22(constB18)) | v18(constB18)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34459, 34458])).
% 40.90/27.38 tff(34461,plain,
% 40.90/27.38 ((~v19(constB18)) | v18(constB18)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34460, 11134, 34457])).
% 40.90/27.38 tff(34462,plain,
% 40.90/27.38 (~v19(constB18)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34461, 34453])).
% 40.90/27.38 tff(34463,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34464,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34465,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34464, 34463])).
% 40.90/27.38 tff(34466,plain,
% 40.90/27.38 (v13(constB18)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34465, 11149, 34462])).
% 40.90/27.38 tff(34467,plain,
% 40.90/27.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34468,plain,
% 40.90/27.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34469,plain,
% 40.90/27.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34468, 34467])).
% 40.90/27.38 tff(34470,plain,
% 40.90/27.38 ((~v13(constB18)) | v9(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34469, 11163, 3029])).
% 40.90/27.38 tff(34471,plain,
% 40.90/27.38 (v9(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34470, 34466])).
% 40.90/27.38 tff(34472,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v184(constB17))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB17) | (~v9(constB17)) | v184(constB17))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34473,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v184(constB17))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34474,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB17) | (~v9(constB17)) | v184(constB17)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34473, 34472])).
% 40.90/27.38 tff(34475,plain,
% 40.90/27.38 ((~v9(constB17)) | v184(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34474, 11178, 2904])).
% 40.90/27.38 tff(34476,plain,
% 40.90/27.38 (v184(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34475, 34471])).
% 40.90/27.38 tff(34477,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB17) | (~v184(constB17)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB17) | (~v184(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34478,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB17) | (~v184(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34479,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB17) | (~v184(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34478, 34477])).
% 40.90/27.38 tff(34480,plain,
% 40.90/27.38 (v183(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34479, 11190, 34476])).
% 40.90/27.38 tff(34481,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB17)) | (~v183(constB17)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB17)) | (~v183(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34482,plain,
% 40.90/27.38 (((~v183(constB17)) | (~v181(constB17))) <=> ((~v181(constB17)) | (~v183(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34483,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB17)) | (~v181(constB17)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB17)) | (~v183(constB17))))),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34482])).
% 40.90/27.38 tff(34484,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB17)) | (~v181(constB17)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB17)) | (~v183(constB17)))),
% 40.90/27.38 inference(transitivity,[status(thm)],[34483, 34481])).
% 40.90/27.38 tff(34485,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB17)) | (~v181(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34486,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB17)) | (~v183(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34485, 34484])).
% 40.90/27.38 tff(34487,plain,
% 40.90/27.38 (~v181(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34486, 11201, 34480])).
% 40.90/27.38 tff(34488,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB17) | v185(constB17) | (~v178(constB17)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB17) | v185(constB17) | (~v178(constB17)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34489,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB17) | v185(constB17) | (~v178(constB17)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34490,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB17) | v185(constB17) | (~v178(constB17))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34489, 34488])).
% 40.90/27.38 tff(34491,plain,
% 40.90/27.38 (v185(constB17) | (~v178(constB17))),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34490, 11215, 34487])).
% 40.90/27.38 tff(34492,plain,
% 40.90/27.38 (~v178(constB17)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34491, 34449])).
% 40.90/27.38 tff(34493,plain,
% 40.90/27.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34494,plain,
% 40.90/27.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34495,plain,
% 40.90/27.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34494, 34493])).
% 40.90/27.38 tff(34496,plain,
% 40.90/27.38 (v178(constB17) | (~v180(constB18))),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34495, 11230, 3029])).
% 40.90/27.38 tff(34497,plain,
% 40.90/27.38 (~v180(constB18)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34496, 34492])).
% 40.90/27.38 tff(34498,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB18) | (~v181(constB18)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB18) | (~v181(constB18)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34499,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB18) | (~v181(constB18)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34500,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB18) | (~v181(constB18))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34499, 34498])).
% 40.90/27.38 tff(34501,plain,
% 40.90/27.38 (~v181(constB18)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34500, 11242, 34497])).
% 40.90/27.38 tff(34502,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB18)) | (~v184(constB18)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB18)) | (~v184(constB18)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34503,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB18)) | (~v184(constB18)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34504,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB18)) | (~v184(constB18))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34503, 34502])).
% 40.90/27.38 tff(34505,plain,
% 40.90/27.38 (~v184(constB18)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34504, 11253, 3049])).
% 40.90/27.38 tff(34506,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB18) | (~v187(constB18)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB18) | (~v187(constB18)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34507,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB18) | (~v187(constB18)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34508,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB18) | (~v187(constB18))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34507, 34506])).
% 40.90/27.38 tff(34509,plain,
% 40.90/27.38 (~v187(constB18)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34508, 11264, 34505])).
% 40.90/27.38 tff(34510,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB18) | (~v185(constB18)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB18) | (~v185(constB18)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34511,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB18) | (~v185(constB18)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34512,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB18) | (~v185(constB18))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34511, 34510])).
% 40.90/27.38 tff(34513,plain,
% 40.90/27.38 (~v185(constB18)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34512, 11098, 34509])).
% 40.90/27.38 tff(34514,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB18) | v185(constB18) | (~v178(constB18)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB18) | v185(constB18) | (~v178(constB18)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34515,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB18) | v185(constB18) | (~v178(constB18)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34516,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB18) | v185(constB18) | (~v178(constB18))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34515, 34514])).
% 40.90/27.38 tff(34517,plain,
% 40.90/27.38 (v181(constB18) | (~v178(constB18))),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34516, 11215, 34513])).
% 40.90/27.38 tff(34518,plain,
% 40.90/27.38 (~v178(constB18)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34517, 34501])).
% 40.90/27.38 tff(34519,plain,
% 40.90/27.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34520,plain,
% 40.90/27.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34521,plain,
% 40.90/27.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34520, 34519])).
% 40.90/27.38 tff(34522,plain,
% 40.90/27.38 (v178(constB18) | (~v180(constB19))),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34521, 11230, 3094])).
% 40.90/27.38 tff(34523,plain,
% 40.90/27.38 (~v180(constB19)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34522, 34518])).
% 40.90/27.38 tff(34524,plain,
% 40.90/27.38 ($false),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34523, 34379])).
% 40.90/27.38 tff(34525,plain,((~(constB19 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.90/27.38 tff(34526,plain,
% 40.90/27.38 (~(constB19 = sK0_VarCurr)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34525, 10998])).
% 40.90/27.38 tff(34527,assumption,(constB128 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.38 tff(34528,plain,
% 40.90/27.38 (v1(constB128) <=> v1(sK0_VarCurr)),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34527])).
% 40.90/27.38 tff(34529,plain,
% 40.90/27.38 (v1(sK0_VarCurr) <=> v1(constB128)),
% 40.90/27.38 inference(symmetry,[status(thm)],[34528])).
% 40.90/27.38 tff(34530,plain,
% 40.90/27.38 ((~v1(sK0_VarCurr)) <=> (~v1(constB128))),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34529])).
% 40.90/27.38 tff(34531,plain,
% 40.90/27.38 (~v1(constB128)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[21332, 34530])).
% 40.90/27.38 tff(34532,plain,
% 40.90/27.38 ($false),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[16793, 34531])).
% 40.90/27.38 tff(34533,plain,((~(constB128 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.38 tff(34534,plain,
% 40.90/27.38 (~(constB128 = sK0_VarCurr)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34533, 21327])).
% 40.90/27.38 tff(34535,assumption,(constB188 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.38 tff(34536,plain,
% 40.90/27.38 (v1(constB188) <=> v1(sK0_VarCurr)),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34535])).
% 40.90/27.38 tff(34537,plain,
% 40.90/27.38 (v1(sK0_VarCurr) <=> v1(constB188)),
% 40.90/27.38 inference(symmetry,[status(thm)],[34536])).
% 40.90/27.38 tff(34538,plain,
% 40.90/27.38 ((~v1(sK0_VarCurr)) <=> (~v1(constB188))),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34537])).
% 40.90/27.38 tff(34539,plain,
% 40.90/27.38 (~v1(constB188)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[21332, 34538])).
% 40.90/27.38 tff(34540,plain,
% 40.90/27.38 ($false),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[25907, 34539])).
% 40.90/27.38 tff(34541,plain,((~(constB188 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.38 tff(34542,plain,
% 40.90/27.38 (~(constB188 = sK0_VarCurr)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34541, 21327])).
% 40.90/27.38 tff(34543,assumption,(constB7 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.38 tff(34544,plain,
% 40.90/27.38 (v180(constB7) <=> v180(sK0_VarCurr)),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34543])).
% 40.90/27.38 tff(34545,plain,
% 40.90/27.38 (v180(sK0_VarCurr) <=> v180(constB7)),
% 40.90/27.38 inference(symmetry,[status(thm)],[34544])).
% 40.90/27.38 tff(34546,plain,
% 40.90/27.38 (v180(constB7)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[11002, 34545])).
% 40.90/27.38 tff(34547,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34548,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34549,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34548, 34547])).
% 40.90/27.38 tff(34550,plain,
% 40.90/27.38 (v88(constB5, bitIndex1)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34549, 21131, 1058])).
% 40.90/27.38 tff(34551,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB5, bitIndex2) | (~v88(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB5, bitIndex2) | (~v88(constB5, bitIndex2)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34552,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB5, bitIndex2) | (~v88(constB5, bitIndex2)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34553,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB5, bitIndex2) | (~v88(constB5, bitIndex2))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34552, 34551])).
% 40.90/27.38 tff(34554,plain,
% 40.90/27.38 (~v88(constB5, bitIndex2)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34553, 22090, 1035])).
% 40.90/27.38 tff(34555,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34556,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34557,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB5, bitIndex0) | (~v88(constB5, bitIndex0))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34556, 34555])).
% 40.90/27.38 tff(34558,plain,
% 40.90/27.38 (~v88(constB5, bitIndex0)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34557, 14645, 1087])).
% 40.90/27.38 tff(34559,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v143(constB5) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB5) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34560,plain,
% 40.90/27.38 ((v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5)) <=> (v143(constB5) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34561,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v143(constB5) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2)))),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34560])).
% 40.90/27.38 tff(34562,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB5) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2))),
% 40.90/27.38 inference(transitivity,[status(thm)],[34561, 34559])).
% 40.90/27.38 tff(34563,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34564,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB5) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34563, 34562])).
% 40.90/27.38 tff(34565,plain,
% 40.90/27.38 (v143(constB5) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34564, 22766, 34558])).
% 40.90/27.38 tff(34566,plain,
% 40.90/27.38 (v143(constB5)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34565, 34554, 34550])).
% 40.90/27.38 tff(34567,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB5) | (~v143(constB5)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB5) | (~v143(constB5)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34568,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB5) | (~v143(constB5)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34569,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB5) | (~v143(constB5))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34568, 34567])).
% 40.90/27.38 tff(34570,plain,
% 40.90/27.38 (v142(constB5)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34569, 22780, 34566])).
% 40.90/27.38 tff(34571,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB5) | (~v142(constB5)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34572,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB5) | (~v142(constB5)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34573,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB5) | (~v142(constB5))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34572, 34571])).
% 40.90/27.38 tff(34574,plain,
% 40.90/27.38 (v166(constB5)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34573, 21170, 34570])).
% 40.90/27.38 tff(34575,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB5) | (~v166(constB5)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB5) | (~v166(constB5)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34576,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB5) | (~v166(constB5)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34577,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB5) | (~v166(constB5))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34576, 34575])).
% 40.90/27.38 tff(34578,plain,
% 40.90/27.38 (v165(constB5)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34577, 21181, 34574])).
% 40.90/27.38 tff(34579,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB5)) | (~v88(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB5)) | (~v88(constB5, bitIndex1)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34580,plain,
% 40.90/27.38 (((~v88(constB5, bitIndex1)) | (~v139(constB5))) <=> ((~v139(constB5)) | (~v88(constB5, bitIndex1)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34581,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB5, bitIndex1)) | (~v139(constB5)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB5)) | (~v88(constB5, bitIndex1))))),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34580])).
% 40.90/27.38 tff(34582,plain,
% 40.90/27.38 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB5, bitIndex1)) | (~v139(constB5)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB5)) | (~v88(constB5, bitIndex1)))),
% 40.90/27.38 inference(transitivity,[status(thm)],[34581, 34579])).
% 40.90/27.38 tff(34583,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB5, bitIndex1)) | (~v139(constB5)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34584,plain,
% 40.90/27.38 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB5)) | (~v88(constB5, bitIndex1))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34583, 34582])).
% 40.90/27.38 tff(34585,plain,
% 40.90/27.38 (~v139(constB5)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34584, 21192, 34550])).
% 40.90/27.38 tff(34586,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | ((~v140(constB5)) | v88(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (~v140(constB5)) | v88(constB5, bitIndex0))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34587,plain,
% 40.90/27.38 ((v88(constB5, bitIndex0) | (~v140(constB5))) <=> ((~v140(constB5)) | v88(constB5, bitIndex0))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34588,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB5, bitIndex0) | (~v140(constB5)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | ((~v140(constB5)) | v88(constB5, bitIndex0)))),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34587])).
% 40.90/27.38 tff(34589,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB5, bitIndex0) | (~v140(constB5)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (~v140(constB5)) | v88(constB5, bitIndex0))),
% 40.90/27.38 inference(transitivity,[status(thm)],[34588, 34586])).
% 40.90/27.38 tff(34590,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB5, bitIndex0) | (~v140(constB5)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34591,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (~v140(constB5)) | v88(constB5, bitIndex0)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34590, 34589])).
% 40.90/27.38 tff(34592,plain,
% 40.90/27.38 (~v140(constB5)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34591, 28771, 34558])).
% 40.90/27.38 tff(34593,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB5) | v139(constB5) | (~v170(constB5)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB5) | v139(constB5) | (~v170(constB5)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34594,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB5) | v139(constB5) | (~v170(constB5)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34595,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB5) | v139(constB5) | (~v170(constB5))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34594, 34593])).
% 40.90/27.38 tff(34596,plain,
% 40.90/27.38 (v139(constB5) | (~v170(constB5))),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34595, 10647, 34592])).
% 40.90/27.38 tff(34597,plain,
% 40.90/27.38 (~v170(constB5)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34596, 34585])).
% 40.90/27.38 tff(34598,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | ((~v141(constB5)) | v88(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB5)) | v88(constB5, bitIndex0))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34599,plain,
% 40.90/27.38 ((v88(constB5, bitIndex0) | (~v141(constB5))) <=> ((~v141(constB5)) | v88(constB5, bitIndex0))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34600,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB5, bitIndex0) | (~v141(constB5)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | ((~v141(constB5)) | v88(constB5, bitIndex0)))),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34599])).
% 40.90/27.38 tff(34601,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB5, bitIndex0) | (~v141(constB5)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB5)) | v88(constB5, bitIndex0))),
% 40.90/27.38 inference(transitivity,[status(thm)],[34600, 34598])).
% 40.90/27.38 tff(34602,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB5, bitIndex0) | (~v141(constB5)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34603,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (~v141(constB5)) | v88(constB5, bitIndex0)),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34602, 34601])).
% 40.90/27.38 tff(34604,plain,
% 40.90/27.38 (~v141(constB5)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34603, 22820, 34558])).
% 40.90/27.38 tff(34605,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB5) | v170(constB5) | (~v169(constB5)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB5) | v170(constB5) | (~v169(constB5)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34606,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB5) | v170(constB5) | (~v169(constB5)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34607,plain,
% 40.90/27.38 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB5) | v170(constB5) | (~v169(constB5))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34606, 34605])).
% 40.90/27.38 tff(34608,plain,
% 40.90/27.38 (v170(constB5) | (~v169(constB5))),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34607, 11040, 34604])).
% 40.90/27.38 tff(34609,plain,
% 40.90/27.38 (~v169(constB5)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34608, 34597])).
% 40.90/27.38 tff(34610,plain,
% 40.90/27.38 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB5)) | v169(constB5) | (~v165(constB5)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB5)) | v169(constB5) | (~v165(constB5)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34611,plain,
% 40.90/27.38 (((~v165(constB5)) | v169(constB5) | (~v162(constB5))) <=> ((~v162(constB5)) | v169(constB5) | (~v165(constB5)))),
% 40.90/27.38 inference(rewrite,[status(thm)],[])).
% 40.90/27.38 tff(34612,plain,
% 40.90/27.38 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB5)) | v169(constB5) | (~v162(constB5)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB5)) | v169(constB5) | (~v165(constB5))))),
% 40.90/27.38 inference(monotonicity,[status(thm)],[34611])).
% 40.90/27.38 tff(34613,plain,
% 40.90/27.38 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB5)) | v169(constB5) | (~v162(constB5)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB5)) | v169(constB5) | (~v165(constB5)))),
% 40.90/27.38 inference(transitivity,[status(thm)],[34612, 34610])).
% 40.90/27.38 tff(34614,plain,
% 40.90/27.38 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB5)) | v169(constB5) | (~v162(constB5)))),
% 40.90/27.38 inference(quant_inst,[status(thm)],[])).
% 40.90/27.38 tff(34615,plain,
% 40.90/27.38 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB5)) | v169(constB5) | (~v165(constB5))),
% 40.90/27.38 inference(modus_ponens,[status(thm)],[34614, 34613])).
% 40.90/27.38 tff(34616,plain,
% 40.90/27.38 ((~v162(constB5)) | (~v165(constB5))),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34615, 11073, 34609])).
% 40.90/27.38 tff(34617,plain,
% 40.90/27.38 (~v162(constB5)),
% 40.90/27.38 inference(unit_resolution,[status(thm)],[34616, 34578])).
% 40.90/27.38 tff(34618,plain,
% 40.90/27.38 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB5) | (~v187(constB5)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB5) | (~v187(constB5)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34619,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB5) | (~v187(constB5)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34620,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB5) | (~v187(constB5))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34619, 34618])).
% 40.90/27.39 tff(34621,plain,
% 40.90/27.39 (~v187(constB5)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34620, 11087, 34617])).
% 40.90/27.39 tff(34622,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB5) | (~v185(constB5)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB5) | (~v185(constB5)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34623,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB5) | (~v185(constB5)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34624,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB5) | (~v185(constB5))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34623, 34622])).
% 40.90/27.39 tff(34625,plain,
% 40.90/27.39 (~v185(constB5)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34624, 11098, 34621])).
% 40.90/27.39 tff(34626,assumption,(v18(constB6)), introduced(assumption)).
% 40.90/27.39 tff(34627,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB6))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34628,plain,
% 40.90/27.39 ($false),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34627, 11110, 34626])).
% 40.90/27.39 tff(34629,plain,(~v18(constB6)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.39 tff(34630,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34631,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34632,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34631, 34630])).
% 40.90/27.39 tff(34633,plain,
% 40.90/27.39 (v22(constB6)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34632, 11120, 1687])).
% 40.90/27.39 tff(34634,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB6)) | (~v22(constB6)) | v18(constB6))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB6)) | (~v22(constB6)) | v18(constB6))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34635,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB6)) | (~v22(constB6)) | v18(constB6))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34636,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB6)) | (~v22(constB6)) | v18(constB6)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34635, 34634])).
% 40.90/27.39 tff(34637,plain,
% 40.90/27.39 ((~v19(constB6)) | v18(constB6)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34636, 11134, 34633])).
% 40.90/27.39 tff(34638,plain,
% 40.90/27.39 (~v19(constB6)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34637, 34629])).
% 40.90/27.39 tff(34639,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34640,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34641,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34640, 34639])).
% 40.90/27.39 tff(34642,plain,
% 40.90/27.39 (v13(constB6)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34641, 11149, 34638])).
% 40.90/27.39 tff(34643,plain,
% 40.90/27.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34644,plain,
% 40.90/27.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34645,plain,
% 40.90/27.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34644, 34643])).
% 40.90/27.39 tff(34646,plain,
% 40.90/27.39 ((~v13(constB6)) | v9(constB5)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34645, 11163, 1365])).
% 40.90/27.39 tff(34647,plain,
% 40.90/27.39 (v9(constB5)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34646, 34642])).
% 40.90/27.39 tff(34648,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v184(constB5))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB5) | (~v9(constB5)) | v184(constB5))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34649,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v184(constB5))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34650,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB5) | (~v9(constB5)) | v184(constB5)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34649, 34648])).
% 40.90/27.39 tff(34651,plain,
% 40.90/27.39 ((~v9(constB5)) | v184(constB5)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34650, 11178, 1011])).
% 40.90/27.39 tff(34652,plain,
% 40.90/27.39 (v184(constB5)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34651, 34647])).
% 40.90/27.39 tff(34653,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB5) | (~v184(constB5)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB5) | (~v184(constB5)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34654,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB5) | (~v184(constB5)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34655,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB5) | (~v184(constB5))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34654, 34653])).
% 40.90/27.39 tff(34656,plain,
% 40.90/27.39 (v183(constB5)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34655, 11190, 34652])).
% 40.90/27.39 tff(34657,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB5)) | (~v183(constB5)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB5)) | (~v183(constB5)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34658,plain,
% 40.90/27.39 (((~v183(constB5)) | (~v181(constB5))) <=> ((~v181(constB5)) | (~v183(constB5)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34659,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB5)) | (~v181(constB5)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB5)) | (~v183(constB5))))),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34658])).
% 40.90/27.39 tff(34660,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB5)) | (~v181(constB5)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB5)) | (~v183(constB5)))),
% 40.90/27.39 inference(transitivity,[status(thm)],[34659, 34657])).
% 40.90/27.39 tff(34661,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB5)) | (~v181(constB5)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34662,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB5)) | (~v183(constB5))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34661, 34660])).
% 40.90/27.39 tff(34663,plain,
% 40.90/27.39 (~v181(constB5)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34662, 11201, 34656])).
% 40.90/27.39 tff(34664,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB5) | v185(constB5) | (~v178(constB5)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB5) | v185(constB5) | (~v178(constB5)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34665,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB5) | v185(constB5) | (~v178(constB5)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34666,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB5) | v185(constB5) | (~v178(constB5))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34665, 34664])).
% 40.90/27.39 tff(34667,plain,
% 40.90/27.39 (v185(constB5) | (~v178(constB5))),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34666, 11215, 34663])).
% 40.90/27.39 tff(34668,plain,
% 40.90/27.39 (~v178(constB5)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34667, 34625])).
% 40.90/27.39 tff(34669,plain,
% 40.90/27.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34670,plain,
% 40.90/27.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34671,plain,
% 40.90/27.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34670, 34669])).
% 40.90/27.39 tff(34672,plain,
% 40.90/27.39 (v178(constB5) | (~v180(constB6))),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34671, 11230, 1365])).
% 40.90/27.39 tff(34673,plain,
% 40.90/27.39 (~v180(constB6)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34672, 34668])).
% 40.90/27.39 tff(34674,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB6) | (~v181(constB6)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB6) | (~v181(constB6)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34675,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB6) | (~v181(constB6)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34676,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB6) | (~v181(constB6))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34675, 34674])).
% 40.90/27.39 tff(34677,plain,
% 40.90/27.39 (~v181(constB6)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34676, 11242, 34673])).
% 40.90/27.39 tff(34678,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB6)) | (~v184(constB6)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB6)) | (~v184(constB6)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34679,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB6)) | (~v184(constB6)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34680,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB6)) | (~v184(constB6))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34679, 34678])).
% 40.90/27.39 tff(34681,plain,
% 40.90/27.39 (~v184(constB6)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34680, 11253, 1687])).
% 40.90/27.39 tff(34682,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB6) | (~v187(constB6)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB6) | (~v187(constB6)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34683,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB6) | (~v187(constB6)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34684,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB6) | (~v187(constB6))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34683, 34682])).
% 40.90/27.39 tff(34685,plain,
% 40.90/27.39 (~v187(constB6)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34684, 11264, 34681])).
% 40.90/27.39 tff(34686,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB6) | (~v185(constB6)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB6) | (~v185(constB6)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34687,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB6) | (~v185(constB6)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34688,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB6) | (~v185(constB6))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34687, 34686])).
% 40.90/27.39 tff(34689,plain,
% 40.90/27.39 (~v185(constB6)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34688, 11098, 34685])).
% 40.90/27.39 tff(34690,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB6) | v185(constB6) | (~v178(constB6)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB6) | v185(constB6) | (~v178(constB6)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34691,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB6) | v185(constB6) | (~v178(constB6)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34692,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB6) | v185(constB6) | (~v178(constB6))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34691, 34690])).
% 40.90/27.39 tff(34693,plain,
% 40.90/27.39 (v181(constB6) | (~v178(constB6))),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34692, 11215, 34689])).
% 40.90/27.39 tff(34694,plain,
% 40.90/27.39 (~v178(constB6)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34693, 34677])).
% 40.90/27.39 tff(34695,plain,
% 40.90/27.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34696,plain,
% 40.90/27.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34697,plain,
% 40.90/27.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34696, 34695])).
% 40.90/27.39 tff(34698,plain,
% 40.90/27.39 (v178(constB6) | (~v180(constB7))),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34697, 11230, 1341])).
% 40.90/27.39 tff(34699,plain,
% 40.90/27.39 (~v180(constB7)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34698, 34694])).
% 40.90/27.39 tff(34700,plain,
% 40.90/27.39 ($false),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34699, 34546])).
% 40.90/27.39 tff(34701,plain,((~(constB7 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.90/27.39 tff(34702,plain,
% 40.90/27.39 (~(constB7 = sK0_VarCurr)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34701, 10998])).
% 40.90/27.39 tff(34703,assumption,(constB100 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.39 tff(34704,plain,
% 40.90/27.39 (v1(constB100) <=> v1(sK0_VarCurr)),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34703])).
% 40.90/27.39 tff(34705,plain,
% 40.90/27.39 (v1(sK0_VarCurr) <=> v1(constB100)),
% 40.90/27.39 inference(symmetry,[status(thm)],[34704])).
% 40.90/27.39 tff(34706,plain,
% 40.90/27.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB100))),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34705])).
% 40.90/27.39 tff(34707,plain,
% 40.90/27.39 (~v1(constB100)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[21332, 34706])).
% 40.90/27.39 tff(34708,plain,
% 40.90/27.39 ($false),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[12948, 34707])).
% 40.90/27.39 tff(34709,plain,((~(constB100 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.39 tff(34710,plain,
% 40.90/27.39 (~(constB100 = sK0_VarCurr)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34709, 21327])).
% 40.90/27.39 tff(34711,assumption,(constB12 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.39 tff(34712,plain,
% 40.90/27.39 (v1(constB12) <=> v1(sK0_VarCurr)),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34711])).
% 40.90/27.39 tff(34713,plain,
% 40.90/27.39 (v1(sK0_VarCurr) <=> v1(constB12)),
% 40.90/27.39 inference(symmetry,[status(thm)],[34712])).
% 40.90/27.39 tff(34714,plain,
% 40.90/27.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB12))),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34713])).
% 40.90/27.39 tff(34715,plain,
% 40.90/27.39 (~v1(constB12)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[21332, 34714])).
% 40.90/27.39 tff(34716,plain,
% 40.90/27.39 ($false),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[2382, 34715])).
% 40.90/27.39 tff(34717,plain,((~(constB12 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.39 tff(34718,plain,
% 40.90/27.39 (~(constB12 = sK0_VarCurr)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34717, 21327])).
% 40.90/27.39 tff(34719,assumption,(constB74 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.39 tff(34720,plain,
% 40.90/27.39 (v1(constB74) <=> v1(sK0_VarCurr)),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34719])).
% 40.90/27.39 tff(34721,plain,
% 40.90/27.39 (v1(sK0_VarCurr) <=> v1(constB74)),
% 40.90/27.39 inference(symmetry,[status(thm)],[34720])).
% 40.90/27.39 tff(34722,plain,
% 40.90/27.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB74))),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34721])).
% 40.90/27.39 tff(34723,plain,
% 40.90/27.39 (~v1(constB74)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[21332, 34722])).
% 40.90/27.39 tff(34724,plain,
% 40.90/27.39 ($false),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[9674, 34723])).
% 40.90/27.39 tff(34725,plain,((~(constB74 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.39 tff(34726,plain,
% 40.90/27.39 (~(constB74 = sK0_VarCurr)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34725, 21327])).
% 40.90/27.39 tff(34727,assumption,(constB68 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.39 tff(34728,plain,
% 40.90/27.39 (v1(constB68) <=> v1(sK0_VarCurr)),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34727])).
% 40.90/27.39 tff(34729,plain,
% 40.90/27.39 (v1(sK0_VarCurr) <=> v1(constB68)),
% 40.90/27.39 inference(symmetry,[status(thm)],[34728])).
% 40.90/27.39 tff(34730,plain,
% 40.90/27.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB68))),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34729])).
% 40.90/27.39 tff(34731,plain,
% 40.90/27.39 (~v1(constB68)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[21332, 34730])).
% 40.90/27.39 tff(34732,plain,
% 40.90/27.39 ($false),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[9140, 34731])).
% 40.90/27.39 tff(34733,plain,((~(constB68 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.39 tff(34734,plain,
% 40.90/27.39 (~(constB68 = sK0_VarCurr)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34733, 21327])).
% 40.90/27.39 tff(34735,assumption,(constB15 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.39 tff(34736,plain,
% 40.90/27.39 (v180(constB15) <=> v180(sK0_VarCurr)),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34735])).
% 40.90/27.39 tff(34737,plain,
% 40.90/27.39 (v180(sK0_VarCurr) <=> v180(constB15)),
% 40.90/27.39 inference(symmetry,[status(thm)],[34736])).
% 40.90/27.39 tff(34738,plain,
% 40.90/27.39 (v180(constB15)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[11002, 34737])).
% 40.90/27.39 tff(34739,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34740,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34741,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34740, 34739])).
% 40.90/27.39 tff(34742,plain,
% 40.90/27.39 (v88(constB13, bitIndex2)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34741, 10566, 2452])).
% 40.90/27.39 tff(34743,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34744,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34745,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB13, bitIndex0) | (~v88(constB13, bitIndex0))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34744, 34743])).
% 40.90/27.39 tff(34746,plain,
% 40.90/27.39 (~v88(constB13, bitIndex0)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34745, 14645, 2521])).
% 40.90/27.39 tff(34747,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34748,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34749,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34748, 34747])).
% 40.90/27.39 tff(34750,plain,
% 40.90/27.39 (v88(constB13, bitIndex1)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34749, 21131, 2461])).
% 40.90/27.39 tff(34751,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34752,plain,
% 40.90/27.39 (((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13)) <=> ((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34753,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13)))),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34752])).
% 40.90/27.39 tff(34754,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))),
% 40.90/27.39 inference(transitivity,[status(thm)],[34753, 34751])).
% 40.90/27.39 tff(34755,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34756,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34755, 34754])).
% 40.90/27.39 tff(34757,plain,
% 40.90/27.39 ((~v88(constB13, bitIndex2)) | v144(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34756, 21145, 34750, 34746])).
% 40.90/27.39 tff(34758,plain,
% 40.90/27.39 (v144(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34757, 34742])).
% 40.90/27.39 tff(34759,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB13) | (~v144(constB13)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB13) | (~v144(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34760,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB13) | (~v144(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34761,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB13) | (~v144(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34760, 34759])).
% 40.90/27.39 tff(34762,plain,
% 40.90/27.39 (v142(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34761, 21159, 34758])).
% 40.90/27.39 tff(34763,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB13) | (~v142(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34764,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB13) | (~v142(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34765,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB13) | (~v142(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34764, 34763])).
% 40.90/27.39 tff(34766,plain,
% 40.90/27.39 (v166(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34765, 21170, 34762])).
% 40.90/27.39 tff(34767,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB13) | (~v166(constB13)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB13) | (~v166(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34768,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB13) | (~v166(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34769,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB13) | (~v166(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34768, 34767])).
% 40.90/27.39 tff(34770,plain,
% 40.90/27.39 (v165(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34769, 21181, 34766])).
% 40.90/27.39 tff(34771,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB13, bitIndex1)) | (~v139(constB13)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB13, bitIndex1)) | (~v139(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34772,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB13, bitIndex1)) | (~v139(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34773,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB13, bitIndex1)) | (~v139(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34772, 34771])).
% 40.90/27.39 tff(34774,plain,
% 40.90/27.39 (~v139(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34773, 21192, 34750])).
% 40.90/27.39 tff(34775,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB13, bitIndex1)) | (~v140(constB13)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB13, bitIndex1)) | (~v140(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34776,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB13, bitIndex1)) | (~v140(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34777,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB13, bitIndex1)) | (~v140(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34776, 34775])).
% 40.90/27.39 tff(34778,plain,
% 40.90/27.39 (~v140(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34777, 21203, 34750])).
% 40.90/27.39 tff(34779,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v170(constB13)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB13) | v139(constB13) | (~v170(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34780,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v170(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34781,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB13) | v139(constB13) | (~v170(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34780, 34779])).
% 40.90/27.39 tff(34782,plain,
% 40.90/27.39 (~v170(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34781, 10647, 34778, 34774])).
% 40.90/27.39 tff(34783,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB13, bitIndex0) | (~v141(constB13)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB13, bitIndex0) | (~v141(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34784,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB13, bitIndex0) | (~v141(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34785,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB13, bitIndex0) | (~v141(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34784, 34783])).
% 40.90/27.39 tff(34786,plain,
% 40.90/27.39 (~v141(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34785, 22820, 34746])).
% 40.90/27.39 tff(34787,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB13) | v170(constB13) | (~v169(constB13)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB13) | v170(constB13) | (~v169(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34788,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB13) | v170(constB13) | (~v169(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34789,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB13) | v170(constB13) | (~v169(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34788, 34787])).
% 40.90/27.39 tff(34790,plain,
% 40.90/27.39 (~v169(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34789, 11040, 34786, 34782])).
% 40.90/27.39 tff(34791,plain,
% 40.90/27.39 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB13)) | (~v165(constB13)) | v169(constB13))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB13)) | (~v165(constB13)) | v169(constB13))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34792,plain,
% 40.90/27.39 (((~v165(constB13)) | v169(constB13) | (~v162(constB13))) <=> ((~v162(constB13)) | (~v165(constB13)) | v169(constB13))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34793,plain,
% 40.90/27.39 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB13)) | v169(constB13) | (~v162(constB13)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB13)) | (~v165(constB13)) | v169(constB13)))),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34792])).
% 40.90/27.39 tff(34794,plain,
% 40.90/27.39 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB13)) | v169(constB13) | (~v162(constB13)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB13)) | (~v165(constB13)) | v169(constB13))),
% 40.90/27.39 inference(transitivity,[status(thm)],[34793, 34791])).
% 40.90/27.39 tff(34795,plain,
% 40.90/27.39 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB13)) | v169(constB13) | (~v162(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34796,plain,
% 40.90/27.39 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB13)) | (~v165(constB13)) | v169(constB13)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34795, 34794])).
% 40.90/27.39 tff(34797,plain,
% 40.90/27.39 ((~v162(constB13)) | (~v165(constB13))),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34796, 11073, 34790])).
% 40.90/27.39 tff(34798,plain,
% 40.90/27.39 (~v162(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34797, 34770])).
% 40.90/27.39 tff(34799,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB13) | (~v187(constB13)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB13) | (~v187(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34800,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB13) | (~v187(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34801,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB13) | (~v187(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34800, 34799])).
% 40.90/27.39 tff(34802,plain,
% 40.90/27.39 (~v187(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34801, 11087, 34798])).
% 40.90/27.39 tff(34803,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB13) | (~v185(constB13)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB13) | (~v185(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34804,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB13) | (~v185(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34805,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB13) | (~v185(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34804, 34803])).
% 40.90/27.39 tff(34806,plain,
% 40.90/27.39 (~v185(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34805, 11098, 34802])).
% 40.90/27.39 tff(34807,assumption,(v18(constB14)), introduced(assumption)).
% 40.90/27.39 tff(34808,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB14))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34809,plain,
% 40.90/27.39 ($false),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34808, 11110, 34807])).
% 40.90/27.39 tff(34810,plain,(~v18(constB14)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.39 tff(34811,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34812,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34813,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34812, 34811])).
% 40.90/27.39 tff(34814,plain,
% 40.90/27.39 (v22(constB14)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34813, 11120, 2565])).
% 40.90/27.39 tff(34815,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB14)) | (~v22(constB14)) | v18(constB14))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB14)) | (~v22(constB14)) | v18(constB14))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34816,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB14)) | (~v22(constB14)) | v18(constB14))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34817,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB14)) | (~v22(constB14)) | v18(constB14)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34816, 34815])).
% 40.90/27.39 tff(34818,plain,
% 40.90/27.39 ((~v19(constB14)) | v18(constB14)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34817, 11134, 34814])).
% 40.90/27.39 tff(34819,plain,
% 40.90/27.39 (~v19(constB14)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34818, 34810])).
% 40.90/27.39 tff(34820,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34821,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34822,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34821, 34820])).
% 40.90/27.39 tff(34823,plain,
% 40.90/27.39 (v13(constB14)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34822, 11149, 34819])).
% 40.90/27.39 tff(34824,plain,
% 40.90/27.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34825,plain,
% 40.90/27.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34826,plain,
% 40.90/27.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34825, 34824])).
% 40.90/27.39 tff(34827,plain,
% 40.90/27.39 ((~v13(constB14)) | v9(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34826, 11163, 2545])).
% 40.90/27.39 tff(34828,plain,
% 40.90/27.39 (v9(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34827, 34823])).
% 40.90/27.39 tff(34829,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v184(constB13))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB13) | (~v9(constB13)) | v184(constB13))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34830,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v184(constB13))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34831,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB13) | (~v9(constB13)) | v184(constB13)),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34830, 34829])).
% 40.90/27.39 tff(34832,plain,
% 40.90/27.39 ((~v9(constB13)) | v184(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34831, 11178, 2428])).
% 40.90/27.39 tff(34833,plain,
% 40.90/27.39 (v184(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34832, 34828])).
% 40.90/27.39 tff(34834,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB13) | (~v184(constB13)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB13) | (~v184(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34835,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB13) | (~v184(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34836,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB13) | (~v184(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34835, 34834])).
% 40.90/27.39 tff(34837,plain,
% 40.90/27.39 (v183(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34836, 11190, 34833])).
% 40.90/27.39 tff(34838,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB13)) | (~v183(constB13)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB13)) | (~v183(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34839,plain,
% 40.90/27.39 (((~v183(constB13)) | (~v181(constB13))) <=> ((~v181(constB13)) | (~v183(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34840,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB13)) | (~v181(constB13)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB13)) | (~v183(constB13))))),
% 40.90/27.39 inference(monotonicity,[status(thm)],[34839])).
% 40.90/27.39 tff(34841,plain,
% 40.90/27.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB13)) | (~v181(constB13)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB13)) | (~v183(constB13)))),
% 40.90/27.39 inference(transitivity,[status(thm)],[34840, 34838])).
% 40.90/27.39 tff(34842,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB13)) | (~v181(constB13)))),
% 40.90/27.39 inference(quant_inst,[status(thm)],[])).
% 40.90/27.39 tff(34843,plain,
% 40.90/27.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB13)) | (~v183(constB13))),
% 40.90/27.39 inference(modus_ponens,[status(thm)],[34842, 34841])).
% 40.90/27.39 tff(34844,plain,
% 40.90/27.39 (~v181(constB13)),
% 40.90/27.39 inference(unit_resolution,[status(thm)],[34843, 11201, 34837])).
% 40.90/27.39 tff(34845,plain,
% 40.90/27.39 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB13) | v185(constB13) | (~v178(constB13)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB13) | v185(constB13) | (~v178(constB13)))),
% 40.90/27.39 inference(rewrite,[status(thm)],[])).
% 40.90/27.39 tff(34846,plain,
% 40.90/27.39 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB13) | v185(constB13) | (~v178(constB13)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34847,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB13) | v185(constB13) | (~v178(constB13))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34846, 34845])).
% 40.90/27.40 tff(34848,plain,
% 40.90/27.40 (v185(constB13) | (~v178(constB13))),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34847, 11215, 34844])).
% 40.90/27.40 tff(34849,plain,
% 40.90/27.40 (~v178(constB13)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34848, 34806])).
% 40.90/27.40 tff(34850,plain,
% 40.90/27.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34851,plain,
% 40.90/27.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34852,plain,
% 40.90/27.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34851, 34850])).
% 40.90/27.40 tff(34853,plain,
% 40.90/27.40 (v178(constB13) | (~v180(constB14))),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34852, 11230, 2545])).
% 40.90/27.40 tff(34854,plain,
% 40.90/27.40 (~v180(constB14)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34853, 34849])).
% 40.90/27.40 tff(34855,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB14) | (~v181(constB14)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB14) | (~v181(constB14)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34856,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB14) | (~v181(constB14)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34857,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB14) | (~v181(constB14))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34856, 34855])).
% 40.90/27.40 tff(34858,plain,
% 40.90/27.40 (~v181(constB14)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34857, 11242, 34854])).
% 40.90/27.40 tff(34859,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB14)) | (~v184(constB14)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB14)) | (~v184(constB14)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34860,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB14)) | (~v184(constB14)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34861,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB14)) | (~v184(constB14))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34860, 34859])).
% 40.90/27.40 tff(34862,plain,
% 40.90/27.40 (~v184(constB14)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34861, 11253, 2565])).
% 40.90/27.40 tff(34863,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB14) | (~v187(constB14)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB14) | (~v187(constB14)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34864,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB14) | (~v187(constB14)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34865,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB14) | (~v187(constB14))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34864, 34863])).
% 40.90/27.40 tff(34866,plain,
% 40.90/27.40 (~v187(constB14)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34865, 11264, 34862])).
% 40.90/27.40 tff(34867,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB14) | (~v185(constB14)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB14) | (~v185(constB14)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34868,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB14) | (~v185(constB14)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34869,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB14) | (~v185(constB14))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34868, 34867])).
% 40.90/27.40 tff(34870,plain,
% 40.90/27.40 (~v185(constB14)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34869, 11098, 34866])).
% 40.90/27.40 tff(34871,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB14) | v185(constB14) | (~v178(constB14)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB14) | v185(constB14) | (~v178(constB14)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34872,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB14) | v185(constB14) | (~v178(constB14)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34873,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB14) | v185(constB14) | (~v178(constB14))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34872, 34871])).
% 40.90/27.40 tff(34874,plain,
% 40.90/27.40 (v181(constB14) | (~v178(constB14))),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34873, 11215, 34870])).
% 40.90/27.40 tff(34875,plain,
% 40.90/27.40 (~v178(constB14)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34874, 34858])).
% 40.90/27.40 tff(34876,plain,
% 40.90/27.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34877,plain,
% 40.90/27.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34878,plain,
% 40.90/27.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34877, 34876])).
% 40.90/27.40 tff(34879,plain,
% 40.90/27.40 (v178(constB14) | (~v180(constB15))),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34878, 11230, 2684])).
% 40.90/27.40 tff(34880,plain,
% 40.90/27.40 (~v180(constB15)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34879, 34875])).
% 40.90/27.40 tff(34881,plain,
% 40.90/27.40 ($false),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34880, 34738])).
% 40.90/27.40 tff(34882,plain,((~(constB15 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.90/27.40 tff(34883,plain,
% 40.90/27.40 (~(constB15 = sK0_VarCurr)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34882, 10998])).
% 40.90/27.40 tff(34884,assumption,(constB63 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.40 tff(34885,plain,
% 40.90/27.40 (v180(constB63) <=> v180(sK0_VarCurr)),
% 40.90/27.40 inference(monotonicity,[status(thm)],[34884])).
% 40.90/27.40 tff(34886,plain,
% 40.90/27.40 (v180(sK0_VarCurr) <=> v180(constB63)),
% 40.90/27.40 inference(symmetry,[status(thm)],[34885])).
% 40.90/27.40 tff(34887,plain,
% 40.90/27.40 (v180(constB63)),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[11002, 34886])).
% 40.90/27.40 tff(34888,plain,
% 40.90/27.40 (((~![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)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34889,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB61, bitIndex0) | (~v88(constB61, bitIndex0)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34890,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB61, bitIndex0) | (~v88(constB61, bitIndex0))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34889, 34888])).
% 40.90/27.40 tff(34891,plain,
% 40.90/27.40 (~v88(constB61, bitIndex0)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34890, 14645, 8073])).
% 40.90/27.40 tff(34892,plain,
% 40.90/27.40 (((~![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))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34893,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34894,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2)),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34893, 34892])).
% 40.90/27.40 tff(34895,plain,
% 40.90/27.40 (v88(constB61, bitIndex2)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34894, 10566, 8008])).
% 40.90/27.40 tff(34896,plain,
% 40.90/27.40 (((~![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))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34897,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34898,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1)),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34897, 34896])).
% 40.90/27.40 tff(34899,plain,
% 40.90/27.40 (v88(constB61, bitIndex1)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34898, 21131, 8039])).
% 40.90/27.40 tff(34900,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34901,plain,
% 40.90/27.40 (((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61)) <=> ((~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34902,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)))),
% 40.90/27.40 inference(monotonicity,[status(thm)],[34901])).
% 40.90/27.40 tff(34903,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 40.90/27.40 inference(transitivity,[status(thm)],[34902, 34900])).
% 40.90/27.40 tff(34904,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34905,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34904, 34903])).
% 40.90/27.40 tff(34906,plain,
% 40.90/27.40 (v144(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34905, 21145, 34899, 34895, 34891])).
% 40.90/27.40 tff(34907,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB61) | (~v144(constB61)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB61) | (~v144(constB61)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34908,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB61) | (~v144(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34909,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB61) | (~v144(constB61))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34908, 34907])).
% 40.90/27.40 tff(34910,plain,
% 40.90/27.40 (v142(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34909, 21159, 34906])).
% 40.90/27.40 tff(34911,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB61) | (~v142(constB61)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34912,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB61) | (~v142(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34913,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB61) | (~v142(constB61))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34912, 34911])).
% 40.90/27.40 tff(34914,plain,
% 40.90/27.40 (v166(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34913, 21170, 34910])).
% 40.90/27.40 tff(34915,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB61) | (~v166(constB61)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB61) | (~v166(constB61)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34916,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB61) | (~v166(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34917,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB61) | (~v166(constB61))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34916, 34915])).
% 40.90/27.40 tff(34918,plain,
% 40.90/27.40 (v165(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34917, 21181, 34914])).
% 40.90/27.40 tff(34919,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB61)) | (~v88(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB61)) | (~v88(constB61, bitIndex1)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34920,plain,
% 40.90/27.40 (((~v88(constB61, bitIndex1)) | (~v139(constB61))) <=> ((~v139(constB61)) | (~v88(constB61, bitIndex1)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34921,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB61, bitIndex1)) | (~v139(constB61)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB61)) | (~v88(constB61, bitIndex1))))),
% 40.90/27.40 inference(monotonicity,[status(thm)],[34920])).
% 40.90/27.40 tff(34922,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB61, bitIndex1)) | (~v139(constB61)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB61)) | (~v88(constB61, bitIndex1)))),
% 40.90/27.40 inference(transitivity,[status(thm)],[34921, 34919])).
% 40.90/27.40 tff(34923,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB61, bitIndex1)) | (~v139(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34924,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB61)) | (~v88(constB61, bitIndex1))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34923, 34922])).
% 40.90/27.40 tff(34925,plain,
% 40.90/27.40 (~v139(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34924, 21192, 34899])).
% 40.90/27.40 tff(34926,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB61)) | (~v88(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB61)) | (~v88(constB61, bitIndex1)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34927,plain,
% 40.90/27.40 (((~v88(constB61, bitIndex1)) | (~v140(constB61))) <=> ((~v140(constB61)) | (~v88(constB61, bitIndex1)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34928,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB61, bitIndex1)) | (~v140(constB61)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB61)) | (~v88(constB61, bitIndex1))))),
% 40.90/27.40 inference(monotonicity,[status(thm)],[34927])).
% 40.90/27.40 tff(34929,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB61, bitIndex1)) | (~v140(constB61)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB61)) | (~v88(constB61, bitIndex1)))),
% 40.90/27.40 inference(transitivity,[status(thm)],[34928, 34926])).
% 40.90/27.40 tff(34930,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB61, bitIndex1)) | (~v140(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34931,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB61)) | (~v88(constB61, bitIndex1))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34930, 34929])).
% 40.90/27.40 tff(34932,plain,
% 40.90/27.40 (~v140(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34931, 21203, 34899])).
% 40.90/27.40 tff(34933,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB61)) | v140(constB61) | v139(constB61))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB61)) | v140(constB61) | v139(constB61))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34934,plain,
% 40.90/27.40 ((v140(constB61) | v139(constB61) | (~v170(constB61))) <=> ((~v170(constB61)) | v140(constB61) | v139(constB61))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34935,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v170(constB61)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | ((~v170(constB61)) | v140(constB61) | v139(constB61)))),
% 40.90/27.40 inference(monotonicity,[status(thm)],[34934])).
% 40.90/27.40 tff(34936,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v170(constB61)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB61)) | v140(constB61) | v139(constB61))),
% 40.90/27.40 inference(transitivity,[status(thm)],[34935, 34933])).
% 40.90/27.40 tff(34937,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v170(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34938,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (~v170(constB61)) | v140(constB61) | v139(constB61)),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34937, 34936])).
% 40.90/27.40 tff(34939,plain,
% 40.90/27.40 (~v170(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34938, 10647, 34932, 34925])).
% 40.90/27.40 tff(34940,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB61)) | (~v88(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB61)) | (~v88(constB61, bitIndex2)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34941,plain,
% 40.90/27.40 (((~v88(constB61, bitIndex2)) | (~v141(constB61))) <=> ((~v141(constB61)) | (~v88(constB61, bitIndex2)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34942,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB61, bitIndex2)) | (~v141(constB61)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB61)) | (~v88(constB61, bitIndex2))))),
% 40.90/27.40 inference(monotonicity,[status(thm)],[34941])).
% 40.90/27.40 tff(34943,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB61, bitIndex2)) | (~v141(constB61)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB61)) | (~v88(constB61, bitIndex2)))),
% 40.90/27.40 inference(transitivity,[status(thm)],[34942, 34940])).
% 40.90/27.40 tff(34944,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB61, bitIndex2)) | (~v141(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34945,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB61)) | (~v88(constB61, bitIndex2))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34944, 34943])).
% 40.90/27.40 tff(34946,plain,
% 40.90/27.40 (~v141(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34945, 10658, 34895])).
% 40.90/27.40 tff(34947,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB61) | v170(constB61) | (~v169(constB61)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB61) | v170(constB61) | (~v169(constB61)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34948,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB61) | v170(constB61) | (~v169(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34949,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB61) | v170(constB61) | (~v169(constB61))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34948, 34947])).
% 40.90/27.40 tff(34950,plain,
% 40.90/27.40 (~v169(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34949, 11040, 34946, 34939])).
% 40.90/27.40 tff(34951,plain,
% 40.90/27.40 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB61)) | (~v165(constB61)) | v169(constB61))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB61)) | (~v165(constB61)) | v169(constB61))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34952,plain,
% 40.90/27.40 (((~v165(constB61)) | v169(constB61) | (~v162(constB61))) <=> ((~v162(constB61)) | (~v165(constB61)) | v169(constB61))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34953,plain,
% 40.90/27.40 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB61)) | v169(constB61) | (~v162(constB61)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB61)) | (~v165(constB61)) | v169(constB61)))),
% 40.90/27.40 inference(monotonicity,[status(thm)],[34952])).
% 40.90/27.40 tff(34954,plain,
% 40.90/27.40 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB61)) | v169(constB61) | (~v162(constB61)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB61)) | (~v165(constB61)) | v169(constB61))),
% 40.90/27.40 inference(transitivity,[status(thm)],[34953, 34951])).
% 40.90/27.40 tff(34955,plain,
% 40.90/27.40 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB61)) | v169(constB61) | (~v162(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34956,plain,
% 40.90/27.40 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB61)) | (~v165(constB61)) | v169(constB61)),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34955, 34954])).
% 40.90/27.40 tff(34957,plain,
% 40.90/27.40 ((~v162(constB61)) | (~v165(constB61))),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34956, 11073, 34950])).
% 40.90/27.40 tff(34958,plain,
% 40.90/27.40 (~v162(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34957, 34918])).
% 40.90/27.40 tff(34959,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB61) | (~v187(constB61)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB61) | (~v187(constB61)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34960,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB61) | (~v187(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34961,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB61) | (~v187(constB61))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34960, 34959])).
% 40.90/27.40 tff(34962,plain,
% 40.90/27.40 (~v187(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34961, 11087, 34958])).
% 40.90/27.40 tff(34963,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB61) | (~v185(constB61)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB61) | (~v185(constB61)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34964,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB61) | (~v185(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34965,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB61) | (~v185(constB61))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34964, 34963])).
% 40.90/27.40 tff(34966,plain,
% 40.90/27.40 (~v185(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34965, 11098, 34962])).
% 40.90/27.40 tff(34967,assumption,(v18(constB62)), introduced(assumption)).
% 40.90/27.40 tff(34968,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB62))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34969,plain,
% 40.90/27.40 ($false),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34968, 11110, 34967])).
% 40.90/27.40 tff(34970,plain,(~v18(constB62)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.40 tff(34971,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34972,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34973,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34972, 34971])).
% 40.90/27.40 tff(34974,plain,
% 40.90/27.40 (v22(constB62)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34973, 11120, 8120])).
% 40.90/27.40 tff(34975,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB62)) | (~v22(constB62)) | v18(constB62))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB62)) | (~v22(constB62)) | v18(constB62))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34976,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB62)) | (~v22(constB62)) | v18(constB62))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34977,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB62)) | (~v22(constB62)) | v18(constB62)),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34976, 34975])).
% 40.90/27.40 tff(34978,plain,
% 40.90/27.40 ((~v19(constB62)) | v18(constB62)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34977, 11134, 34974])).
% 40.90/27.40 tff(34979,plain,
% 40.90/27.40 (~v19(constB62)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34978, 34970])).
% 40.90/27.40 tff(34980,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34981,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34982,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62)),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34981, 34980])).
% 40.90/27.40 tff(34983,plain,
% 40.90/27.40 (v13(constB62)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34982, 11149, 34979])).
% 40.90/27.40 tff(34984,plain,
% 40.90/27.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34985,plain,
% 40.90/27.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34986,plain,
% 40.90/27.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61)),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34985, 34984])).
% 40.90/27.40 tff(34987,plain,
% 40.90/27.40 ((~v13(constB62)) | v9(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34986, 11163, 8100])).
% 40.90/27.40 tff(34988,plain,
% 40.90/27.40 (v9(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34987, 34983])).
% 40.90/27.40 tff(34989,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v184(constB61))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB61) | (~v9(constB61)) | v184(constB61))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34990,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v184(constB61))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34991,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB61) | (~v9(constB61)) | v184(constB61)),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34990, 34989])).
% 40.90/27.40 tff(34992,plain,
% 40.90/27.40 ((~v9(constB61)) | v184(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34991, 11178, 7984])).
% 40.90/27.40 tff(34993,plain,
% 40.90/27.40 (v184(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34992, 34988])).
% 40.90/27.40 tff(34994,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB61) | (~v184(constB61)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB61) | (~v184(constB61)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34995,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB61) | (~v184(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(34996,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB61) | (~v184(constB61))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[34995, 34994])).
% 40.90/27.40 tff(34997,plain,
% 40.90/27.40 (v183(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[34996, 11190, 34993])).
% 40.90/27.40 tff(34998,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB61)) | (~v183(constB61)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB61)) | (~v183(constB61)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(34999,plain,
% 40.90/27.40 (((~v183(constB61)) | (~v181(constB61))) <=> ((~v181(constB61)) | (~v183(constB61)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(35000,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB61)) | (~v181(constB61)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB61)) | (~v183(constB61))))),
% 40.90/27.40 inference(monotonicity,[status(thm)],[34999])).
% 40.90/27.40 tff(35001,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB61)) | (~v181(constB61)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB61)) | (~v183(constB61)))),
% 40.90/27.40 inference(transitivity,[status(thm)],[35000, 34998])).
% 40.90/27.40 tff(35002,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB61)) | (~v181(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(35003,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB61)) | (~v183(constB61))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[35002, 35001])).
% 40.90/27.40 tff(35004,plain,
% 40.90/27.40 (~v181(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[35003, 11201, 34997])).
% 40.90/27.40 tff(35005,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB61) | v185(constB61) | (~v178(constB61)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB61) | v185(constB61) | (~v178(constB61)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(35006,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB61) | v185(constB61) | (~v178(constB61)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(35007,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB61) | v185(constB61) | (~v178(constB61))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[35006, 35005])).
% 40.90/27.40 tff(35008,plain,
% 40.90/27.40 (v185(constB61) | (~v178(constB61))),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[35007, 11215, 35004])).
% 40.90/27.40 tff(35009,plain,
% 40.90/27.40 (~v178(constB61)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[35008, 34966])).
% 40.90/27.40 tff(35010,plain,
% 40.90/27.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB61, constB62)) | v178(constB61) | (~v180(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB61, constB62)) | v178(constB61) | (~v180(constB62)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(35011,plain,
% 40.90/27.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB61, constB62)) | v178(constB61) | (~v180(constB62)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(35012,plain,
% 40.90/27.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB61, constB62)) | v178(constB61) | (~v180(constB62))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[35011, 35010])).
% 40.90/27.40 tff(35013,plain,
% 40.90/27.40 (v178(constB61) | (~v180(constB62))),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[35012, 11230, 8100])).
% 40.90/27.40 tff(35014,plain,
% 40.90/27.40 (~v180(constB62)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[35013, 35009])).
% 40.90/27.40 tff(35015,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB62) | (~v181(constB62)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB62) | (~v181(constB62)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(35016,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB62) | (~v181(constB62)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(35017,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB62) | (~v181(constB62))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[35016, 35015])).
% 40.90/27.40 tff(35018,plain,
% 40.90/27.40 (~v181(constB62)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[35017, 11242, 35014])).
% 40.90/27.40 tff(35019,plain,
% 40.90/27.40 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB62)) | (~v184(constB62)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB62)) | (~v184(constB62)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(35020,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB62)) | (~v184(constB62)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(35021,plain,
% 40.90/27.40 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB62)) | (~v184(constB62))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[35020, 35019])).
% 40.90/27.40 tff(35022,plain,
% 40.90/27.40 (~v184(constB62)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[35021, 11253, 8120])).
% 40.90/27.40 tff(35023,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB62) | (~v187(constB62)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB62) | (~v187(constB62)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(35024,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB62) | (~v187(constB62)))),
% 40.90/27.40 inference(quant_inst,[status(thm)],[])).
% 40.90/27.40 tff(35025,plain,
% 40.90/27.40 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB62) | (~v187(constB62))),
% 40.90/27.40 inference(modus_ponens,[status(thm)],[35024, 35023])).
% 40.90/27.40 tff(35026,plain,
% 40.90/27.40 (~v187(constB62)),
% 40.90/27.40 inference(unit_resolution,[status(thm)],[35025, 11264, 35022])).
% 40.90/27.40 tff(35027,plain,
% 40.90/27.40 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB62) | (~v185(constB62)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB62) | (~v185(constB62)))),
% 40.90/27.40 inference(rewrite,[status(thm)],[])).
% 40.90/27.40 tff(35028,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB62) | (~v185(constB62)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35029,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB62) | (~v185(constB62))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35028, 35027])).
% 40.90/27.41 tff(35030,plain,
% 40.90/27.41 (~v185(constB62)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35029, 11098, 35026])).
% 40.90/27.41 tff(35031,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB62) | v185(constB62) | (~v178(constB62)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB62) | v185(constB62) | (~v178(constB62)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35032,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB62) | v185(constB62) | (~v178(constB62)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35033,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB62) | v185(constB62) | (~v178(constB62))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35032, 35031])).
% 40.90/27.41 tff(35034,plain,
% 40.90/27.41 (v181(constB62) | (~v178(constB62))),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35033, 11215, 35030])).
% 40.90/27.41 tff(35035,plain,
% 40.90/27.41 (~v178(constB62)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35034, 35018])).
% 40.90/27.41 tff(35036,plain,
% 40.90/27.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v178(constB62) | (~v180(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB62, constB63)) | v178(constB62) | (~v180(constB63)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35037,plain,
% 40.90/27.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v178(constB62) | (~v180(constB63)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35038,plain,
% 40.90/27.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB62, constB63)) | v178(constB62) | (~v180(constB63))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35037, 35036])).
% 40.90/27.41 tff(35039,plain,
% 40.90/27.41 (v178(constB62) | (~v180(constB63))),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35038, 11230, 8192])).
% 40.90/27.41 tff(35040,plain,
% 40.90/27.41 (~v180(constB63)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35039, 35035])).
% 40.90/27.41 tff(35041,plain,
% 40.90/27.41 ($false),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35040, 34887])).
% 40.90/27.41 tff(35042,plain,((~(constB63 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.90/27.41 tff(35043,plain,
% 40.90/27.41 (~(constB63 = sK0_VarCurr)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35042, 10998])).
% 40.90/27.41 tff(35044,assumption,(constB174 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.41 tff(35045,plain,
% 40.90/27.41 (v1(constB174) <=> v1(sK0_VarCurr)),
% 40.90/27.41 inference(monotonicity,[status(thm)],[35044])).
% 40.90/27.41 tff(35046,plain,
% 40.90/27.41 (v1(sK0_VarCurr) <=> v1(constB174)),
% 40.90/27.41 inference(symmetry,[status(thm)],[35045])).
% 40.90/27.41 tff(35047,plain,
% 40.90/27.41 ((~v1(sK0_VarCurr)) <=> (~v1(constB174))),
% 40.90/27.41 inference(monotonicity,[status(thm)],[35046])).
% 40.90/27.41 tff(35048,plain,
% 40.90/27.41 (~v1(constB174)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[21332, 35047])).
% 40.90/27.41 tff(35049,plain,
% 40.90/27.41 ($false),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[24042, 35048])).
% 40.90/27.41 tff(35050,plain,((~(constB174 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.41 tff(35051,plain,
% 40.90/27.41 (~(constB174 = sK0_VarCurr)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35050, 21327])).
% 40.90/27.41 tff(35052,assumption,(constB167 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.41 tff(35053,plain,
% 40.90/27.41 (v86(constB167) <=> v86(sK0_VarCurr)),
% 40.90/27.41 inference(monotonicity,[status(thm)],[35052])).
% 40.90/27.41 tff(35054,plain,
% 40.90/27.41 (v86(sK0_VarCurr) <=> v86(constB167)),
% 40.90/27.41 inference(symmetry,[status(thm)],[35053])).
% 40.90/27.41 tff(35055,plain,
% 40.90/27.41 ((~v86(sK0_VarCurr)) <=> (~v86(constB167))),
% 40.90/27.41 inference(monotonicity,[status(thm)],[35054])).
% 40.90/27.41 tff(35056,plain,
% 40.90/27.41 (~v86(constB167)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[77, 35055])).
% 40.90/27.41 tff(35057,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v170(constB167) | (~v167(constB167)) | v141(constB167))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v170(constB167) | (~v167(constB167)) | v141(constB167))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35058,plain,
% 40.90/27.41 ((v141(constB167) | (~v167(constB167)) | v170(constB167)) <=> (v170(constB167) | (~v167(constB167)) | v141(constB167))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35059,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB167) | (~v167(constB167)) | v170(constB167))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v170(constB167) | (~v167(constB167)) | v141(constB167)))),
% 40.90/27.41 inference(monotonicity,[status(thm)],[35058])).
% 40.90/27.41 tff(35060,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB167) | (~v167(constB167)) | v170(constB167))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v170(constB167) | (~v167(constB167)) | v141(constB167))),
% 40.90/27.41 inference(transitivity,[status(thm)],[35059, 35057])).
% 40.90/27.41 tff(35061,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | (v141(constB167) | (~v167(constB167)) | v170(constB167))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35062,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v167(VarCurr)) | v170(VarCurr))) | v170(constB167) | (~v167(constB167)) | v141(constB167)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35061, 35060])).
% 40.90/27.41 tff(35063,plain,
% 40.90/27.41 (~v167(constB167)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35062, 10672, 31341, 31337])).
% 40.90/27.41 tff(35064,plain,
% 40.90/27.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v143(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v143(constB167)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35065,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v143(constB167)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35066,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v143(constB167))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35065, 35064])).
% 40.90/27.41 tff(35067,plain,
% 40.90/27.41 (~v143(constB167)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35066, 10686, 31326])).
% 40.90/27.41 tff(35068,plain,
% 40.90/27.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v144(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v144(constB167)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35069,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v144(constB167)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35070,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v144(constB167))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35069, 35068])).
% 40.90/27.41 tff(35071,plain,
% 40.90/27.41 (~v144(constB167)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35070, 10697, 31326])).
% 40.90/27.41 tff(35072,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB167) | v144(constB167) | (~v142(constB167)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB167) | v144(constB167) | (~v142(constB167)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35073,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB167) | v144(constB167) | (~v142(constB167)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35074,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB167) | v144(constB167) | (~v142(constB167))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35073, 35072])).
% 40.90/27.41 tff(35075,plain,
% 40.90/27.41 (~v142(constB167)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35074, 10711, 35071, 35067])).
% 40.90/27.41 tff(35076,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB167) | v167(constB167) | (~v166(constB167)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB167) | v167(constB167) | (~v166(constB167)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35077,plain,
% 40.90/27.41 ((v142(constB167) | (~v166(constB167)) | v167(constB167)) <=> (v142(constB167) | v167(constB167) | (~v166(constB167)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35078,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB167) | (~v166(constB167)) | v167(constB167))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB167) | v167(constB167) | (~v166(constB167))))),
% 40.90/27.41 inference(monotonicity,[status(thm)],[35077])).
% 40.90/27.41 tff(35079,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB167) | (~v166(constB167)) | v167(constB167))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB167) | v167(constB167) | (~v166(constB167)))),
% 40.90/27.41 inference(transitivity,[status(thm)],[35078, 35076])).
% 40.90/27.41 tff(35080,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB167) | (~v166(constB167)) | v167(constB167))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35081,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v142(constB167) | v167(constB167) | (~v166(constB167))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35080, 35079])).
% 40.90/27.41 tff(35082,plain,
% 40.90/27.41 (~v166(constB167)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35081, 10725, 35075, 35063])).
% 40.90/27.41 tff(35083,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB167) | v166(constB167))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB167) | v166(constB167))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35084,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB167) | v166(constB167))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35085,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v148(VarCurr) | v166(VarCurr))) | v148(constB167) | v166(constB167)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35084, 35083])).
% 40.90/27.41 tff(35086,plain,
% 40.90/27.41 (v148(constB167)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35085, 10739, 35082])).
% 40.90/27.41 tff(35087,plain,
% 40.90/27.41 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB167) | (~v165(constB167)) | (~v148(constB167)))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB167) | (~v165(constB167)) | (~v148(constB167)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35088,plain,
% 40.90/27.41 (((~v148(constB167)) | (~v165(constB167)) | v86(constB167)) <=> (v86(constB167) | (~v165(constB167)) | (~v148(constB167)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35089,plain,
% 40.90/27.41 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB167)) | (~v165(constB167)) | v86(constB167))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | (v86(constB167) | (~v165(constB167)) | (~v148(constB167))))),
% 40.90/27.41 inference(monotonicity,[status(thm)],[35088])).
% 40.90/27.41 tff(35090,plain,
% 40.90/27.41 (((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB167)) | (~v165(constB167)) | v86(constB167))) <=> ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB167) | (~v165(constB167)) | (~v148(constB167)))),
% 40.90/27.41 inference(transitivity,[status(thm)],[35089, 35087])).
% 40.90/27.41 tff(35091,plain,
% 40.90/27.41 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | ((~v148(constB167)) | (~v165(constB167)) | v86(constB167))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35092,plain,
% 40.90/27.41 ((~![VarNext: $i] : ((~v148(VarNext)) | (~v165(VarNext)) | v86(VarNext))) | v86(constB167) | (~v165(constB167)) | (~v148(constB167))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35091, 35090])).
% 40.90/27.41 tff(35093,plain,
% 40.90/27.41 (v86(constB167) | (~v148(constB167))),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35092, 10837, 31364])).
% 40.90/27.41 tff(35094,plain,
% 40.90/27.41 (v86(constB167)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35093, 35086])).
% 40.90/27.41 tff(35095,plain,
% 40.90/27.41 ($false),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35094, 35056])).
% 40.90/27.41 tff(35096,plain,((~(constB167 = sK0_VarCurr)) | v86(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.41 tff(35097,plain,
% 40.90/27.41 (~(constB167 = sK0_VarCurr)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35096, 72])).
% 40.90/27.41 tff(35098,assumption,(constB67 = sK0_VarCurr), introduced(assumption)).
% 40.90/27.41 tff(35099,plain,
% 40.90/27.41 (v180(constB67) <=> v180(sK0_VarCurr)),
% 40.90/27.41 inference(monotonicity,[status(thm)],[35098])).
% 40.90/27.41 tff(35100,plain,
% 40.90/27.41 (v180(sK0_VarCurr) <=> v180(constB67)),
% 40.90/27.41 inference(symmetry,[status(thm)],[35099])).
% 40.90/27.41 tff(35101,plain,
% 40.90/27.41 (v180(constB67)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[11002, 35100])).
% 40.90/27.41 tff(35102,plain,
% 40.90/27.41 (((~![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))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35103,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35104,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35103, 35102])).
% 40.90/27.41 tff(35105,plain,
% 40.90/27.41 (v88(constB65, bitIndex1)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35104, 21131, 8699])).
% 40.90/27.41 tff(35106,plain,
% 40.90/27.41 (((~![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)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35107,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35108,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35107, 35106])).
% 40.90/27.41 tff(35109,plain,
% 40.90/27.41 (~v88(constB65, bitIndex0)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35108, 14645, 8733])).
% 40.90/27.41 tff(35110,plain,
% 40.90/27.41 (((~![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)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35111,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB65, bitIndex2) | (~v88(constB65, bitIndex2)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35112,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB65, bitIndex2) | (~v88(constB65, bitIndex2))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35111, 35110])).
% 40.90/27.41 tff(35113,plain,
% 40.90/27.41 (~v88(constB65, bitIndex2)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35112, 22090, 8840])).
% 40.90/27.41 tff(35114,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0) | v143(constB65))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0) | v143(constB65))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35115,plain,
% 40.90/27.41 ((v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65)) <=> ((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0) | v143(constB65))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35116,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0) | v143(constB65)))),
% 40.90/27.41 inference(monotonicity,[status(thm)],[35115])).
% 40.90/27.41 tff(35117,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0) | v143(constB65))),
% 40.90/27.41 inference(transitivity,[status(thm)],[35116, 35114])).
% 40.90/27.41 tff(35118,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35119,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0) | v143(constB65)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35118, 35117])).
% 40.90/27.41 tff(35120,plain,
% 40.90/27.41 ((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35119, 22766, 35113])).
% 40.90/27.41 tff(35121,plain,
% 40.90/27.41 (v143(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35120, 35109, 35105])).
% 40.90/27.41 tff(35122,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB65) | (~v143(constB65)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB65) | (~v143(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35123,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB65) | (~v143(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35124,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB65) | (~v143(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35123, 35122])).
% 40.90/27.41 tff(35125,plain,
% 40.90/27.41 (v142(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35124, 22780, 35121])).
% 40.90/27.41 tff(35126,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB65) | (~v142(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35127,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB65) | (~v142(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35128,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB65) | (~v142(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35127, 35126])).
% 40.90/27.41 tff(35129,plain,
% 40.90/27.41 (v166(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35128, 21170, 35125])).
% 40.90/27.41 tff(35130,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB65) | (~v166(constB65)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB65) | (~v166(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35131,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB65) | (~v166(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35132,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB65) | (~v166(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35131, 35130])).
% 40.90/27.41 tff(35133,plain,
% 40.90/27.41 (v165(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35132, 21181, 35129])).
% 40.90/27.41 tff(35134,plain,
% 40.90/27.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB65, bitIndex1)) | (~v139(constB65)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB65, bitIndex1)) | (~v139(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35135,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB65, bitIndex1)) | (~v139(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35136,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB65, bitIndex1)) | (~v139(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35135, 35134])).
% 40.90/27.41 tff(35137,plain,
% 40.90/27.41 (~v139(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35136, 21192, 35105])).
% 40.90/27.41 tff(35138,plain,
% 40.90/27.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB65, bitIndex1)) | (~v140(constB65)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB65, bitIndex1)) | (~v140(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35139,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB65, bitIndex1)) | (~v140(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35140,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB65, bitIndex1)) | (~v140(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35139, 35138])).
% 40.90/27.41 tff(35141,plain,
% 40.90/27.41 (~v140(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35140, 21203, 35105])).
% 40.90/27.41 tff(35142,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v170(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB65) | v139(constB65) | (~v170(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35143,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v170(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35144,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB65) | v139(constB65) | (~v170(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35143, 35142])).
% 40.90/27.41 tff(35145,plain,
% 40.90/27.41 (~v170(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35144, 10647, 35141, 35137])).
% 40.90/27.41 tff(35146,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB65, bitIndex0) | (~v141(constB65)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB65, bitIndex0) | (~v141(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35147,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB65, bitIndex0) | (~v141(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35148,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB65, bitIndex0) | (~v141(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35147, 35146])).
% 40.90/27.41 tff(35149,plain,
% 40.90/27.41 (~v141(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35148, 22820, 35109])).
% 40.90/27.41 tff(35150,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB65) | v170(constB65) | (~v169(constB65)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB65) | v170(constB65) | (~v169(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35151,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB65) | v170(constB65) | (~v169(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35152,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB65) | v170(constB65) | (~v169(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35151, 35150])).
% 40.90/27.41 tff(35153,plain,
% 40.90/27.41 (~v169(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35152, 11040, 35149, 35145])).
% 40.90/27.41 tff(35154,plain,
% 40.90/27.41 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB65)) | v169(constB65) | (~v165(constB65)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB65)) | v169(constB65) | (~v165(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35155,plain,
% 40.90/27.41 (((~v165(constB65)) | v169(constB65) | (~v162(constB65))) <=> ((~v162(constB65)) | v169(constB65) | (~v165(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35156,plain,
% 40.90/27.41 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB65)) | v169(constB65) | (~v162(constB65)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB65)) | v169(constB65) | (~v165(constB65))))),
% 40.90/27.41 inference(monotonicity,[status(thm)],[35155])).
% 40.90/27.41 tff(35157,plain,
% 40.90/27.41 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB65)) | v169(constB65) | (~v162(constB65)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB65)) | v169(constB65) | (~v165(constB65)))),
% 40.90/27.41 inference(transitivity,[status(thm)],[35156, 35154])).
% 40.90/27.41 tff(35158,plain,
% 40.90/27.41 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB65)) | v169(constB65) | (~v162(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35159,plain,
% 40.90/27.41 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB65)) | v169(constB65) | (~v165(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35158, 35157])).
% 40.90/27.41 tff(35160,plain,
% 40.90/27.41 ((~v162(constB65)) | (~v165(constB65))),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35159, 11073, 35153])).
% 40.90/27.41 tff(35161,plain,
% 40.90/27.41 (~v162(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35160, 35133])).
% 40.90/27.41 tff(35162,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB65) | (~v187(constB65)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB65) | (~v187(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35163,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB65) | (~v187(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35164,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB65) | (~v187(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35163, 35162])).
% 40.90/27.41 tff(35165,plain,
% 40.90/27.41 (~v187(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35164, 11087, 35161])).
% 40.90/27.41 tff(35166,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB65) | (~v185(constB65)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB65) | (~v185(constB65)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35167,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB65) | (~v185(constB65)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35168,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB65) | (~v185(constB65))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35167, 35166])).
% 40.90/27.41 tff(35169,plain,
% 40.90/27.41 (~v185(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35168, 11098, 35165])).
% 40.90/27.41 tff(35170,assumption,(v18(constB66)), introduced(assumption)).
% 40.90/27.41 tff(35171,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB66))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35172,plain,
% 40.90/27.41 ($false),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35171, 11110, 35170])).
% 40.90/27.41 tff(35173,plain,(~v18(constB66)), inference(lemma,lemma(discharge,[]))).
% 40.90/27.41 tff(35174,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66)))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35175,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35176,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66))),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35175, 35174])).
% 40.90/27.41 tff(35177,plain,
% 40.90/27.41 (v22(constB66)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35176, 11120, 8970])).
% 40.90/27.41 tff(35178,plain,
% 40.90/27.41 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB66)) | (~v22(constB66)) | v18(constB66))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB66)) | (~v22(constB66)) | v18(constB66))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35179,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB66)) | (~v22(constB66)) | v18(constB66))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35180,plain,
% 40.90/27.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB66)) | (~v22(constB66)) | v18(constB66)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35179, 35178])).
% 40.90/27.41 tff(35181,plain,
% 40.90/27.41 ((~v19(constB66)) | v18(constB66)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35180, 11134, 35177])).
% 40.90/27.41 tff(35182,plain,
% 40.90/27.41 (~v19(constB66)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35181, 35173])).
% 40.90/27.41 tff(35183,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35184,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35185,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35184, 35183])).
% 40.90/27.41 tff(35186,plain,
% 40.90/27.41 (v13(constB66)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35185, 11149, 35182])).
% 40.90/27.41 tff(35187,plain,
% 40.90/27.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35188,plain,
% 40.90/27.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35189,plain,
% 40.90/27.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35188, 35187])).
% 40.90/27.41 tff(35190,plain,
% 40.90/27.41 ((~v13(constB66)) | v9(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35189, 11163, 8864])).
% 40.90/27.41 tff(35191,plain,
% 40.90/27.41 (v9(constB65)),
% 40.90/27.41 inference(unit_resolution,[status(thm)],[35190, 35186])).
% 40.90/27.41 tff(35192,plain,
% 40.90/27.41 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v184(constB65))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB65) | (~v9(constB65)) | v184(constB65))),
% 40.90/27.41 inference(rewrite,[status(thm)],[])).
% 40.90/27.41 tff(35193,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v184(constB65))),
% 40.90/27.41 inference(quant_inst,[status(thm)],[])).
% 40.90/27.41 tff(35194,plain,
% 40.90/27.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB65) | (~v9(constB65)) | v184(constB65)),
% 40.90/27.41 inference(modus_ponens,[status(thm)],[35193, 35192])).
% 40.90/27.41 tff(35195,plain,
% 40.98/27.41 ((~v9(constB65)) | v184(constB65)),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35194, 11178, 8675])).
% 40.98/27.41 tff(35196,plain,
% 40.98/27.41 (v184(constB65)),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35195, 35191])).
% 40.98/27.41 tff(35197,plain,
% 40.98/27.41 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB65) | (~v184(constB65)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB65) | (~v184(constB65)))),
% 40.98/27.41 inference(rewrite,[status(thm)],[])).
% 40.98/27.41 tff(35198,plain,
% 40.98/27.41 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB65) | (~v184(constB65)))),
% 40.98/27.41 inference(quant_inst,[status(thm)],[])).
% 40.98/27.41 tff(35199,plain,
% 40.98/27.41 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB65) | (~v184(constB65))),
% 40.98/27.41 inference(modus_ponens,[status(thm)],[35198, 35197])).
% 40.98/27.41 tff(35200,plain,
% 40.98/27.41 (v183(constB65)),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35199, 11190, 35196])).
% 40.98/27.41 tff(35201,plain,
% 40.98/27.41 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB65)) | (~v183(constB65)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB65)) | (~v183(constB65)))),
% 40.98/27.41 inference(rewrite,[status(thm)],[])).
% 40.98/27.41 tff(35202,plain,
% 40.98/27.41 (((~v183(constB65)) | (~v181(constB65))) <=> ((~v181(constB65)) | (~v183(constB65)))),
% 40.98/27.41 inference(rewrite,[status(thm)],[])).
% 40.98/27.41 tff(35203,plain,
% 40.98/27.41 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB65)) | (~v181(constB65)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB65)) | (~v183(constB65))))),
% 40.98/27.41 inference(monotonicity,[status(thm)],[35202])).
% 40.98/27.41 tff(35204,plain,
% 40.98/27.41 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB65)) | (~v181(constB65)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB65)) | (~v183(constB65)))),
% 40.98/27.41 inference(transitivity,[status(thm)],[35203, 35201])).
% 40.98/27.41 tff(35205,plain,
% 40.98/27.41 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB65)) | (~v181(constB65)))),
% 40.98/27.41 inference(quant_inst,[status(thm)],[])).
% 40.98/27.41 tff(35206,plain,
% 40.98/27.41 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB65)) | (~v183(constB65))),
% 40.98/27.41 inference(modus_ponens,[status(thm)],[35205, 35204])).
% 40.98/27.41 tff(35207,plain,
% 40.98/27.41 (~v181(constB65)),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35206, 11201, 35200])).
% 40.98/27.41 tff(35208,plain,
% 40.98/27.41 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB65) | v185(constB65) | (~v178(constB65)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB65) | v185(constB65) | (~v178(constB65)))),
% 40.98/27.41 inference(rewrite,[status(thm)],[])).
% 40.98/27.41 tff(35209,plain,
% 40.98/27.41 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB65) | v185(constB65) | (~v178(constB65)))),
% 40.98/27.41 inference(quant_inst,[status(thm)],[])).
% 40.98/27.41 tff(35210,plain,
% 40.98/27.41 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB65) | v185(constB65) | (~v178(constB65))),
% 40.98/27.41 inference(modus_ponens,[status(thm)],[35209, 35208])).
% 40.98/27.41 tff(35211,plain,
% 40.98/27.41 (v185(constB65) | (~v178(constB65))),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35210, 11215, 35207])).
% 40.98/27.41 tff(35212,plain,
% 40.98/27.41 (~v178(constB65)),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35211, 35169])).
% 40.98/27.41 tff(35213,plain,
% 40.98/27.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66)))),
% 40.98/27.41 inference(rewrite,[status(thm)],[])).
% 40.98/27.41 tff(35214,plain,
% 40.98/27.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66)))),
% 40.98/27.41 inference(quant_inst,[status(thm)],[])).
% 40.98/27.41 tff(35215,plain,
% 40.98/27.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66))),
% 40.98/27.41 inference(modus_ponens,[status(thm)],[35214, 35213])).
% 40.98/27.41 tff(35216,plain,
% 40.98/27.41 (v178(constB65) | (~v180(constB66))),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35215, 11230, 8864])).
% 40.98/27.41 tff(35217,plain,
% 40.98/27.41 (~v180(constB66)),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35216, 35212])).
% 40.98/27.41 tff(35218,plain,
% 40.98/27.41 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB66) | (~v181(constB66)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB66) | (~v181(constB66)))),
% 40.98/27.41 inference(rewrite,[status(thm)],[])).
% 40.98/27.41 tff(35219,plain,
% 40.98/27.41 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB66) | (~v181(constB66)))),
% 40.98/27.41 inference(quant_inst,[status(thm)],[])).
% 40.98/27.41 tff(35220,plain,
% 40.98/27.41 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB66) | (~v181(constB66))),
% 40.98/27.41 inference(modus_ponens,[status(thm)],[35219, 35218])).
% 40.98/27.41 tff(35221,plain,
% 40.98/27.41 (~v181(constB66)),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35220, 11242, 35217])).
% 40.98/27.41 tff(35222,plain,
% 40.98/27.41 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB66)) | (~v184(constB66)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB66)) | (~v184(constB66)))),
% 40.98/27.41 inference(rewrite,[status(thm)],[])).
% 40.98/27.41 tff(35223,plain,
% 40.98/27.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB66)) | (~v184(constB66)))),
% 40.98/27.41 inference(quant_inst,[status(thm)],[])).
% 40.98/27.41 tff(35224,plain,
% 40.98/27.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB66)) | (~v184(constB66))),
% 40.98/27.41 inference(modus_ponens,[status(thm)],[35223, 35222])).
% 40.98/27.41 tff(35225,plain,
% 40.98/27.41 (~v184(constB66)),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35224, 11253, 8970])).
% 40.98/27.41 tff(35226,plain,
% 40.98/27.41 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB66) | (~v187(constB66)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB66) | (~v187(constB66)))),
% 40.98/27.41 inference(rewrite,[status(thm)],[])).
% 40.98/27.41 tff(35227,plain,
% 40.98/27.41 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB66) | (~v187(constB66)))),
% 40.98/27.41 inference(quant_inst,[status(thm)],[])).
% 40.98/27.41 tff(35228,plain,
% 40.98/27.41 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB66) | (~v187(constB66))),
% 40.98/27.41 inference(modus_ponens,[status(thm)],[35227, 35226])).
% 40.98/27.41 tff(35229,plain,
% 40.98/27.41 (~v187(constB66)),
% 40.98/27.41 inference(unit_resolution,[status(thm)],[35228, 11264, 35225])).
% 40.98/27.41 tff(35230,plain,
% 40.98/27.41 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB66) | (~v185(constB66)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB66) | (~v185(constB66)))),
% 40.98/27.41 inference(rewrite,[status(thm)],[])).
% 40.98/27.41 tff(35231,plain,
% 40.98/27.41 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB66) | (~v185(constB66)))),
% 40.98/27.41 inference(quant_inst,[status(thm)],[])).
% 40.98/27.41 tff(35232,plain,
% 40.98/27.41 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB66) | (~v185(constB66))),
% 40.98/27.41 inference(modus_ponens,[status(thm)],[35231, 35230])).
% 40.98/27.42 tff(35233,plain,
% 40.98/27.42 (~v185(constB66)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35232, 11098, 35229])).
% 40.98/27.42 tff(35234,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB66) | v185(constB66) | (~v178(constB66)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB66) | v185(constB66) | (~v178(constB66)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35235,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB66) | v185(constB66) | (~v178(constB66)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35236,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB66) | v185(constB66) | (~v178(constB66))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35235, 35234])).
% 40.98/27.42 tff(35237,plain,
% 40.98/27.42 (v181(constB66) | (~v178(constB66))),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35236, 11215, 35233])).
% 40.98/27.42 tff(35238,plain,
% 40.98/27.42 (~v178(constB66)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35237, 35221])).
% 40.98/27.42 tff(35239,plain,
% 40.98/27.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35240,plain,
% 40.98/27.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35241,plain,
% 40.98/27.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35240, 35239])).
% 40.98/27.42 tff(35242,plain,
% 40.98/27.42 (v178(constB66) | (~v180(constB67))),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35241, 11230, 8998])).
% 40.98/27.42 tff(35243,plain,
% 40.98/27.42 (~v180(constB67)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35242, 35238])).
% 40.98/27.42 tff(35244,plain,
% 40.98/27.42 ($false),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35243, 35101])).
% 40.98/27.42 tff(35245,plain,((~(constB67 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.98/27.42 tff(35246,plain,
% 40.98/27.42 (~(constB67 = sK0_VarCurr)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35245, 10998])).
% 40.98/27.42 tff(35247,assumption,(constB79 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.42 tff(35248,plain,
% 40.98/27.42 (v180(constB79) <=> v180(sK0_VarCurr)),
% 40.98/27.42 inference(monotonicity,[status(thm)],[35247])).
% 40.98/27.42 tff(35249,plain,
% 40.98/27.42 (v180(sK0_VarCurr) <=> v180(constB79)),
% 40.98/27.42 inference(symmetry,[status(thm)],[35248])).
% 40.98/27.42 tff(35250,plain,
% 40.98/27.42 (v180(constB79)),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[11002, 35249])).
% 40.98/27.42 tff(35251,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB77, bitIndex2) | (~v88(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB77, bitIndex2) | (~v88(constB77, bitIndex2)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35252,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB77, bitIndex2) | (~v88(constB77, bitIndex2)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35253,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB77, bitIndex2) | (~v88(constB77, bitIndex2))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35252, 35251])).
% 40.98/27.42 tff(35254,plain,
% 40.98/27.42 (~v88(constB77, bitIndex2)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35253, 22090, 9987])).
% 40.98/27.42 tff(35255,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB77, bitIndex0) | (~v88(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB77, bitIndex0) | (~v88(constB77, bitIndex0)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35256,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB77, bitIndex0) | (~v88(constB77, bitIndex0)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35257,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB77, bitIndex0) | (~v88(constB77, bitIndex0))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35256, 35255])).
% 40.98/27.42 tff(35258,plain,
% 40.98/27.42 (~v88(constB77, bitIndex0)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35257, 14645, 10052])).
% 40.98/27.42 tff(35259,plain,
% 40.98/27.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB77, bitIndex1)) | v88(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB77, bitIndex1)) | v88(constB77, bitIndex1))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35260,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB77, bitIndex1)) | v88(constB77, bitIndex1))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35261,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB77, bitIndex1)) | v88(constB77, bitIndex1)),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35260, 35259])).
% 40.98/27.42 tff(35262,plain,
% 40.98/27.42 (v88(constB77, bitIndex1)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35261, 21131, 10018])).
% 40.98/27.42 tff(35263,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0) | v143(constB77))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0) | v143(constB77))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35264,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0) | v143(constB77))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35265,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0) | v143(constB77)),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35264, 35263])).
% 40.98/27.42 tff(35266,plain,
% 40.98/27.42 (v143(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35265, 22766, 35262, 35258, 35254])).
% 40.98/27.42 tff(35267,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB77) | (~v143(constB77)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB77) | (~v143(constB77)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35268,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB77) | (~v143(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35269,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB77) | (~v143(constB77))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35268, 35267])).
% 40.98/27.42 tff(35270,plain,
% 40.98/27.42 (v142(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35269, 22780, 35266])).
% 40.98/27.42 tff(35271,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB77) | (~v142(constB77)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB77) | (~v142(constB77)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35272,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | (v166(constB77) | (~v142(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35273,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v166(VarCurr) | (~v142(VarCurr)))) | v166(constB77) | (~v142(constB77))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35272, 35271])).
% 40.98/27.42 tff(35274,plain,
% 40.98/27.42 (v166(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35273, 21170, 35270])).
% 40.98/27.42 tff(35275,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB77) | (~v166(constB77)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB77) | (~v166(constB77)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35276,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB77) | (~v166(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35277,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB77) | (~v166(constB77))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35276, 35275])).
% 40.98/27.42 tff(35278,plain,
% 40.98/27.42 (v165(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35277, 21181, 35274])).
% 40.98/27.42 tff(35279,plain,
% 40.98/27.42 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB77, bitIndex1)) | (~v139(constB77)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB77, bitIndex1)) | (~v139(constB77)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35280,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB77, bitIndex1)) | (~v139(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35281,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB77, bitIndex1)) | (~v139(constB77))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35280, 35279])).
% 40.98/27.42 tff(35282,plain,
% 40.98/27.42 (~v139(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35281, 21192, 35262])).
% 40.98/27.42 tff(35283,plain,
% 40.98/27.42 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB77, bitIndex1)) | (~v140(constB77)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB77, bitIndex1)) | (~v140(constB77)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35284,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB77, bitIndex1)) | (~v140(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35285,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB77, bitIndex1)) | (~v140(constB77))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35284, 35283])).
% 40.98/27.42 tff(35286,plain,
% 40.98/27.42 (~v140(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35285, 21203, 35262])).
% 40.98/27.42 tff(35287,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB77) | v139(constB77) | (~v170(constB77)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB77) | v139(constB77) | (~v170(constB77)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35288,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB77) | v139(constB77) | (~v170(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35289,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB77) | v139(constB77) | (~v170(constB77))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35288, 35287])).
% 40.98/27.42 tff(35290,plain,
% 40.98/27.42 (~v170(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35289, 10647, 35286, 35282])).
% 40.98/27.42 tff(35291,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB77, bitIndex0) | (~v141(constB77)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB77, bitIndex0) | (~v141(constB77)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35292,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB77, bitIndex0) | (~v141(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35293,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB77, bitIndex0) | (~v141(constB77))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35292, 35291])).
% 40.98/27.42 tff(35294,plain,
% 40.98/27.42 (~v141(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35293, 22820, 35258])).
% 40.98/27.42 tff(35295,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB77) | v170(constB77) | (~v169(constB77)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB77) | v170(constB77) | (~v169(constB77)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35296,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB77) | v170(constB77) | (~v169(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35297,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB77) | v170(constB77) | (~v169(constB77))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35296, 35295])).
% 40.98/27.42 tff(35298,plain,
% 40.98/27.42 (~v169(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35297, 11040, 35294, 35290])).
% 40.98/27.42 tff(35299,plain,
% 40.98/27.42 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB77)) | (~v165(constB77)) | v169(constB77))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB77)) | (~v165(constB77)) | v169(constB77))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35300,plain,
% 40.98/27.42 (((~v165(constB77)) | v169(constB77) | (~v162(constB77))) <=> ((~v162(constB77)) | (~v165(constB77)) | v169(constB77))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35301,plain,
% 40.98/27.42 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB77)) | v169(constB77) | (~v162(constB77)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB77)) | (~v165(constB77)) | v169(constB77)))),
% 40.98/27.42 inference(monotonicity,[status(thm)],[35300])).
% 40.98/27.42 tff(35302,plain,
% 40.98/27.42 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB77)) | v169(constB77) | (~v162(constB77)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB77)) | (~v165(constB77)) | v169(constB77))),
% 40.98/27.42 inference(transitivity,[status(thm)],[35301, 35299])).
% 40.98/27.42 tff(35303,plain,
% 40.98/27.42 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB77)) | v169(constB77) | (~v162(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35304,plain,
% 40.98/27.42 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB77)) | (~v165(constB77)) | v169(constB77)),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35303, 35302])).
% 40.98/27.42 tff(35305,plain,
% 40.98/27.42 ((~v162(constB77)) | (~v165(constB77))),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35304, 11073, 35298])).
% 40.98/27.42 tff(35306,plain,
% 40.98/27.42 (~v162(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35305, 35278])).
% 40.98/27.42 tff(35307,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB77) | (~v187(constB77)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB77) | (~v187(constB77)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35308,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB77) | (~v187(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35309,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB77) | (~v187(constB77))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35308, 35307])).
% 40.98/27.42 tff(35310,plain,
% 40.98/27.42 (~v187(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35309, 11087, 35306])).
% 40.98/27.42 tff(35311,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB77) | (~v185(constB77)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB77) | (~v185(constB77)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35312,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB77) | (~v185(constB77)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35313,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB77) | (~v185(constB77))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35312, 35311])).
% 40.98/27.42 tff(35314,plain,
% 40.98/27.42 (~v185(constB77)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35313, 11098, 35310])).
% 40.98/27.42 tff(35315,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB75, bitIndex2) | (~v88(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB75, bitIndex2) | (~v88(constB75, bitIndex2)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35316,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB75, bitIndex2) | (~v88(constB75, bitIndex2)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35317,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB75, bitIndex2) | (~v88(constB75, bitIndex2))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35316, 35315])).
% 40.98/27.42 tff(35318,plain,
% 40.98/27.42 (~v88(constB75, bitIndex2)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35317, 22090, 9767])).
% 40.98/27.42 tff(35319,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB75, bitIndex1) | (~v88(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB75, bitIndex1) | (~v88(constB75, bitIndex1)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35320,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB75, bitIndex1) | (~v88(constB75, bitIndex1)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35321,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB75, bitIndex1) | (~v88(constB75, bitIndex1))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35320, 35319])).
% 40.98/27.42 tff(35322,plain,
% 40.98/27.42 (~v88(constB75, bitIndex1)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35321, 10784, 9804])).
% 40.98/27.42 tff(35323,plain,
% 40.98/27.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35324,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35325,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0)),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35324, 35323])).
% 40.98/27.42 tff(35326,plain,
% 40.98/27.42 (v88(constB75, bitIndex0)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35325, 10622, 9854])).
% 40.98/27.42 tff(35327,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35328,plain,
% 40.98/27.42 ((v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75)) <=> (v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35329,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75)))),
% 40.98/27.42 inference(monotonicity,[status(thm)],[35328])).
% 40.98/27.42 tff(35330,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75))),
% 40.98/27.42 inference(transitivity,[status(thm)],[35329, 35327])).
% 40.98/27.42 tff(35331,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35332,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75)),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35331, 35330])).
% 40.98/27.42 tff(35333,plain,
% 40.98/27.42 (v140(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35332, 26634, 35326, 35322, 35318])).
% 40.98/27.42 tff(35334,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB75) | (~v140(constB75)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB75) | (~v140(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35335,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB75) | (~v140(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35336,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB75) | (~v140(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35335, 35334])).
% 40.98/27.42 tff(35337,plain,
% 40.98/27.42 (v170(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35336, 26648, 35333])).
% 40.98/27.42 tff(35338,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB75) | (~v170(constB75)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB75) | (~v170(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35339,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB75) | (~v170(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35340,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB75) | (~v170(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35339, 35338])).
% 40.98/27.42 tff(35341,plain,
% 40.98/27.42 (v167(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35340, 26659, 35337])).
% 40.98/27.42 tff(35342,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB75) | (~v167(constB75)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB75) | (~v167(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35343,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB75) | (~v167(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35344,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB75) | (~v167(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35343, 35342])).
% 40.98/27.42 tff(35345,plain,
% 40.98/27.42 (v166(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35344, 22146, 35341])).
% 40.98/27.42 tff(35346,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB75) | (~v166(constB75)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB75) | (~v166(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35347,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB75) | (~v166(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35348,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB75) | (~v166(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35347, 35346])).
% 40.98/27.42 tff(35349,plain,
% 40.98/27.42 (v165(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35348, 21181, 35345])).
% 40.98/27.42 tff(35350,plain,
% 40.98/27.42 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB75)) | (~v170(constB75)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB75)) | (~v170(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35351,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB75)) | (~v170(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35352,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB75)) | (~v170(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35351, 35350])).
% 40.98/27.42 tff(35353,plain,
% 40.98/27.42 (~v169(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35352, 26678, 35337])).
% 40.98/27.42 tff(35354,plain,
% 40.98/27.42 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB75)) | v169(constB75) | (~v165(constB75)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB75)) | v169(constB75) | (~v165(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35355,plain,
% 40.98/27.42 (((~v165(constB75)) | v169(constB75) | (~v162(constB75))) <=> ((~v162(constB75)) | v169(constB75) | (~v165(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35356,plain,
% 40.98/27.42 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB75)) | v169(constB75) | (~v162(constB75)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB75)) | v169(constB75) | (~v165(constB75))))),
% 40.98/27.42 inference(monotonicity,[status(thm)],[35355])).
% 40.98/27.42 tff(35357,plain,
% 40.98/27.42 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB75)) | v169(constB75) | (~v162(constB75)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB75)) | v169(constB75) | (~v165(constB75)))),
% 40.98/27.42 inference(transitivity,[status(thm)],[35356, 35354])).
% 40.98/27.42 tff(35358,plain,
% 40.98/27.42 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB75)) | v169(constB75) | (~v162(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35359,plain,
% 40.98/27.42 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB75)) | v169(constB75) | (~v165(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35358, 35357])).
% 40.98/27.42 tff(35360,plain,
% 40.98/27.42 ((~v162(constB75)) | (~v165(constB75))),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35359, 11073, 35353])).
% 40.98/27.42 tff(35361,plain,
% 40.98/27.42 (~v162(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35360, 35349])).
% 40.98/27.42 tff(35362,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB75) | (~v187(constB75)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB75) | (~v187(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35363,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB75) | (~v187(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35364,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB75) | (~v187(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35363, 35362])).
% 40.98/27.42 tff(35365,plain,
% 40.98/27.42 (~v187(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35364, 11087, 35361])).
% 40.98/27.42 tff(35366,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB75) | (~v185(constB75)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB75) | (~v185(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35367,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB75) | (~v185(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35368,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB75) | (~v185(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35367, 35366])).
% 40.98/27.42 tff(35369,plain,
% 40.98/27.42 (~v185(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35368, 11098, 35365])).
% 40.98/27.42 tff(35370,assumption,(v18(constB76)), introduced(assumption)).
% 40.98/27.42 tff(35371,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB76))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35372,plain,
% 40.98/27.42 ($false),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35371, 11110, 35370])).
% 40.98/27.42 tff(35373,plain,(~v18(constB76)), inference(lemma,lemma(discharge,[]))).
% 40.98/27.42 tff(35374,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35375,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35376,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35375, 35374])).
% 40.98/27.42 tff(35377,plain,
% 40.98/27.42 (v22(constB76)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35376, 11120, 9921])).
% 40.98/27.42 tff(35378,plain,
% 40.98/27.42 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB76)) | (~v22(constB76)) | v18(constB76))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB76)) | (~v22(constB76)) | v18(constB76))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35379,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB76)) | (~v22(constB76)) | v18(constB76))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35380,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB76)) | (~v22(constB76)) | v18(constB76)),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35379, 35378])).
% 40.98/27.42 tff(35381,plain,
% 40.98/27.42 ((~v19(constB76)) | v18(constB76)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35380, 11134, 35377])).
% 40.98/27.42 tff(35382,plain,
% 40.98/27.42 (~v19(constB76)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35381, 35373])).
% 40.98/27.42 tff(35383,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35384,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35385,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76)),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35384, 35383])).
% 40.98/27.42 tff(35386,plain,
% 40.98/27.42 (v13(constB76)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35385, 11149, 35382])).
% 40.98/27.42 tff(35387,plain,
% 40.98/27.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35388,plain,
% 40.98/27.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35389,plain,
% 40.98/27.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75)),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35388, 35387])).
% 40.98/27.42 tff(35390,plain,
% 40.98/27.42 ((~v13(constB76)) | v9(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35389, 11163, 9901])).
% 40.98/27.42 tff(35391,plain,
% 40.98/27.42 (v9(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35390, 35386])).
% 40.98/27.42 tff(35392,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v184(constB75))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB75) | (~v9(constB75)) | v184(constB75))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35393,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v184(constB75))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35394,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB75) | (~v9(constB75)) | v184(constB75)),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35393, 35392])).
% 40.98/27.42 tff(35395,plain,
% 40.98/27.42 ((~v9(constB75)) | v184(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35394, 11178, 9743])).
% 40.98/27.42 tff(35396,plain,
% 40.98/27.42 (v184(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35395, 35391])).
% 40.98/27.42 tff(35397,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB75) | (~v184(constB75)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB75) | (~v184(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35398,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB75) | (~v184(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35399,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB75) | (~v184(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35398, 35397])).
% 40.98/27.42 tff(35400,plain,
% 40.98/27.42 (v183(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35399, 11190, 35396])).
% 40.98/27.42 tff(35401,plain,
% 40.98/27.42 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB75)) | (~v183(constB75)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB75)) | (~v183(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35402,plain,
% 40.98/27.42 (((~v183(constB75)) | (~v181(constB75))) <=> ((~v181(constB75)) | (~v183(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35403,plain,
% 40.98/27.42 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB75)) | (~v181(constB75)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB75)) | (~v183(constB75))))),
% 40.98/27.42 inference(monotonicity,[status(thm)],[35402])).
% 40.98/27.42 tff(35404,plain,
% 40.98/27.42 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB75)) | (~v181(constB75)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB75)) | (~v183(constB75)))),
% 40.98/27.42 inference(transitivity,[status(thm)],[35403, 35401])).
% 40.98/27.42 tff(35405,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB75)) | (~v181(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35406,plain,
% 40.98/27.42 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB75)) | (~v183(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35405, 35404])).
% 40.98/27.42 tff(35407,plain,
% 40.98/27.42 (~v181(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35406, 11201, 35400])).
% 40.98/27.42 tff(35408,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB75) | v185(constB75) | (~v178(constB75)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB75) | v185(constB75) | (~v178(constB75)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35409,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB75) | v185(constB75) | (~v178(constB75)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35410,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB75) | v185(constB75) | (~v178(constB75))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35409, 35408])).
% 40.98/27.42 tff(35411,plain,
% 40.98/27.42 (v185(constB75) | (~v178(constB75))),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35410, 11215, 35407])).
% 40.98/27.42 tff(35412,plain,
% 40.98/27.42 (~v178(constB75)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35411, 35369])).
% 40.98/27.42 tff(35413,plain,
% 40.98/27.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB75, constB76)) | v178(constB75) | (~v180(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB75, constB76)) | v178(constB75) | (~v180(constB76)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35414,plain,
% 40.98/27.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB75, constB76)) | v178(constB75) | (~v180(constB76)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35415,plain,
% 40.98/27.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB75, constB76)) | v178(constB75) | (~v180(constB76))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35414, 35413])).
% 40.98/27.42 tff(35416,plain,
% 40.98/27.42 (v178(constB75) | (~v180(constB76))),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35415, 11230, 9901])).
% 40.98/27.42 tff(35417,plain,
% 40.98/27.42 (~v180(constB76)),
% 40.98/27.42 inference(unit_resolution,[status(thm)],[35416, 35412])).
% 40.98/27.42 tff(35418,plain,
% 40.98/27.42 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB76) | (~v181(constB76)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB76) | (~v181(constB76)))),
% 40.98/27.42 inference(rewrite,[status(thm)],[])).
% 40.98/27.42 tff(35419,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB76) | (~v181(constB76)))),
% 40.98/27.42 inference(quant_inst,[status(thm)],[])).
% 40.98/27.42 tff(35420,plain,
% 40.98/27.42 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB76) | (~v181(constB76))),
% 40.98/27.42 inference(modus_ponens,[status(thm)],[35419, 35418])).
% 40.98/27.43 tff(35421,plain,
% 40.98/27.43 (~v181(constB76)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35420, 11242, 35417])).
% 40.98/27.43 tff(35422,plain,
% 40.98/27.43 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB76)) | (~v184(constB76)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB76)) | (~v184(constB76)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35423,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB76)) | (~v184(constB76)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35424,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB76)) | (~v184(constB76))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35423, 35422])).
% 40.98/27.43 tff(35425,plain,
% 40.98/27.43 (~v184(constB76)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35424, 11253, 9921])).
% 40.98/27.43 tff(35426,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB76) | (~v187(constB76)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB76) | (~v187(constB76)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35427,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB76) | (~v187(constB76)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35428,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB76) | (~v187(constB76))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35427, 35426])).
% 40.98/27.43 tff(35429,plain,
% 40.98/27.43 (~v187(constB76)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35428, 11264, 35425])).
% 40.98/27.43 tff(35430,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB76) | (~v185(constB76)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB76) | (~v185(constB76)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35431,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB76) | (~v185(constB76)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35432,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB76) | (~v185(constB76))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35431, 35430])).
% 40.98/27.43 tff(35433,plain,
% 40.98/27.43 (~v185(constB76)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35432, 11098, 35429])).
% 40.98/27.43 tff(35434,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB76) | v185(constB76) | (~v178(constB76)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB76) | v185(constB76) | (~v178(constB76)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35435,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB76) | v185(constB76) | (~v178(constB76)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35436,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB76) | v185(constB76) | (~v178(constB76))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35435, 35434])).
% 40.98/27.43 tff(35437,plain,
% 40.98/27.43 (v181(constB76) | (~v178(constB76))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35436, 11215, 35433])).
% 40.98/27.43 tff(35438,plain,
% 40.98/27.43 (~v178(constB76)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35437, 35421])).
% 40.98/27.43 tff(35439,plain,
% 40.98/27.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB76, constB77)) | v178(constB76) | (~v180(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB76, constB77)) | v178(constB76) | (~v180(constB77)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35440,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB76, constB77)) | v178(constB76) | (~v180(constB77)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35441,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB76, constB77)) | v178(constB76) | (~v180(constB77))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35440, 35439])).
% 40.98/27.43 tff(35442,plain,
% 40.98/27.43 (v178(constB76) | (~v180(constB77))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35441, 11230, 9966])).
% 40.98/27.43 tff(35443,plain,
% 40.98/27.43 (~v180(constB77)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35442, 35438])).
% 40.98/27.43 tff(35444,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB77) | (~v181(constB77)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB77) | (~v181(constB77)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35445,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB77) | (~v181(constB77)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35446,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB77) | (~v181(constB77))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35445, 35444])).
% 40.98/27.43 tff(35447,plain,
% 40.98/27.43 (~v181(constB77)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35446, 11242, 35443])).
% 40.98/27.43 tff(35448,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB77) | v185(constB77) | (~v178(constB77)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB77) | v185(constB77) | (~v178(constB77)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35449,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB77) | v185(constB77) | (~v178(constB77)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35450,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB77) | v185(constB77) | (~v178(constB77))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35449, 35448])).
% 40.98/27.43 tff(35451,plain,
% 40.98/27.43 (v185(constB77) | (~v178(constB77))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35450, 11215, 35447])).
% 40.98/27.43 tff(35452,plain,
% 40.98/27.43 (~v178(constB77)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35451, 35314])).
% 40.98/27.43 tff(35453,plain,
% 40.98/27.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35454,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35455,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35454, 35453])).
% 40.98/27.43 tff(35456,plain,
% 40.98/27.43 (v178(constB77) | (~v180(constB78))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35455, 11230, 10095])).
% 40.98/27.43 tff(35457,plain,
% 40.98/27.43 (~v180(constB78)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35456, 35452])).
% 40.98/27.43 tff(35458,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB78) | (~v181(constB78)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB78) | (~v181(constB78)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35459,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB78) | (~v181(constB78)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35460,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB78) | (~v181(constB78))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35459, 35458])).
% 40.98/27.43 tff(35461,plain,
% 40.98/27.43 (~v181(constB78)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35460, 11242, 35457])).
% 40.98/27.43 tff(35462,plain,
% 40.98/27.43 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB78)) | (~v184(constB78)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB78)) | (~v184(constB78)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35463,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB78)) | (~v184(constB78)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35464,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB78)) | (~v184(constB78))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35463, 35462])).
% 40.98/27.43 tff(35465,plain,
% 40.98/27.43 (~v184(constB78)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35464, 11253, 10115])).
% 40.98/27.43 tff(35466,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB78) | (~v187(constB78)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB78) | (~v187(constB78)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35467,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB78) | (~v187(constB78)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35468,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB78) | (~v187(constB78))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35467, 35466])).
% 40.98/27.43 tff(35469,plain,
% 40.98/27.43 (~v187(constB78)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35468, 11264, 35465])).
% 40.98/27.43 tff(35470,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB78) | (~v185(constB78)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB78) | (~v185(constB78)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35471,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB78) | (~v185(constB78)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35472,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB78) | (~v185(constB78))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35471, 35470])).
% 40.98/27.43 tff(35473,plain,
% 40.98/27.43 (~v185(constB78)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35472, 11098, 35469])).
% 40.98/27.43 tff(35474,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB78) | v185(constB78) | (~v178(constB78)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB78) | v185(constB78) | (~v178(constB78)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35475,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB78) | v185(constB78) | (~v178(constB78)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35476,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB78) | v185(constB78) | (~v178(constB78))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35475, 35474])).
% 40.98/27.43 tff(35477,plain,
% 40.98/27.43 (v181(constB78) | (~v178(constB78))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35476, 11215, 35473])).
% 40.98/27.43 tff(35478,plain,
% 40.98/27.43 (~v178(constB78)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35477, 35461])).
% 40.98/27.43 tff(35479,plain,
% 40.98/27.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35480,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35481,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35480, 35479])).
% 40.98/27.43 tff(35482,plain,
% 40.98/27.43 (v178(constB78) | (~v180(constB79))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35481, 11230, 10160])).
% 40.98/27.43 tff(35483,plain,
% 40.98/27.43 (~v180(constB79)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35482, 35478])).
% 40.98/27.43 tff(35484,plain,
% 40.98/27.43 ($false),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35483, 35250])).
% 40.98/27.43 tff(35485,plain,((~(constB79 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.98/27.43 tff(35486,plain,
% 40.98/27.43 (~(constB79 = sK0_VarCurr)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35485, 10998])).
% 40.98/27.43 tff(35487,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB179) | v170(constB179) | (~v169(constB179)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB179) | v170(constB179) | (~v169(constB179)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35488,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB179) | v170(constB179) | (~v169(constB179)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35489,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB179) | v170(constB179) | (~v169(constB179))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35488, 35487])).
% 40.98/27.43 tff(35490,plain,
% 40.98/27.43 (~v169(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35489, 11040, 31502, 31498])).
% 40.98/27.43 tff(35491,plain,
% 40.98/27.43 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB179)) | (~v165(constB179)) | v169(constB179))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB179)) | (~v165(constB179)) | v169(constB179))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35492,plain,
% 40.98/27.43 (((~v165(constB179)) | v169(constB179) | (~v162(constB179))) <=> ((~v162(constB179)) | (~v165(constB179)) | v169(constB179))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35493,plain,
% 40.98/27.43 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB179)) | v169(constB179) | (~v162(constB179)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB179)) | (~v165(constB179)) | v169(constB179)))),
% 40.98/27.43 inference(monotonicity,[status(thm)],[35492])).
% 40.98/27.43 tff(35494,plain,
% 40.98/27.43 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB179)) | v169(constB179) | (~v162(constB179)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB179)) | (~v165(constB179)) | v169(constB179))),
% 40.98/27.43 inference(transitivity,[status(thm)],[35493, 35491])).
% 40.98/27.43 tff(35495,plain,
% 40.98/27.43 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB179)) | v169(constB179) | (~v162(constB179)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35496,plain,
% 40.98/27.43 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB179)) | (~v165(constB179)) | v169(constB179)),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35495, 35494])).
% 40.98/27.43 tff(35497,plain,
% 40.98/27.43 (~v162(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35496, 11073, 31551, 35490])).
% 40.98/27.43 tff(35498,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB179) | (~v187(constB179)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB179) | (~v187(constB179)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35499,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB179) | (~v187(constB179)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35500,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB179) | (~v187(constB179))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35499, 35498])).
% 40.98/27.43 tff(35501,plain,
% 40.98/27.43 (~v187(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35500, 11087, 35497])).
% 40.98/27.43 tff(35502,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB179) | (~v185(constB179)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB179) | (~v185(constB179)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35503,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB179) | (~v185(constB179)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35504,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB179) | (~v185(constB179))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35503, 35502])).
% 40.98/27.43 tff(35505,plain,
% 40.98/27.43 (~v185(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35504, 11098, 35501])).
% 40.98/27.43 tff(35506,assumption,(v18(constB180)), introduced(assumption)).
% 40.98/27.43 tff(35507,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB180))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35508,plain,
% 40.98/27.43 ($false),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35507, 11110, 35506])).
% 40.98/27.43 tff(35509,plain,(~v18(constB180)), inference(lemma,lemma(discharge,[]))).
% 40.98/27.43 tff(35510,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35511,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35512,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35511, 35510])).
% 40.98/27.43 tff(35513,plain,
% 40.98/27.43 (v22(constB180)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35512, 11120, 24661])).
% 40.98/27.43 tff(35514,plain,
% 40.98/27.43 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB180)) | (~v22(constB180)) | v18(constB180))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB180)) | (~v22(constB180)) | v18(constB180))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35515,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB180)) | (~v22(constB180)) | v18(constB180))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35516,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB180)) | (~v22(constB180)) | v18(constB180)),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35515, 35514])).
% 40.98/27.43 tff(35517,plain,
% 40.98/27.43 ((~v19(constB180)) | v18(constB180)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35516, 11134, 35513])).
% 40.98/27.43 tff(35518,plain,
% 40.98/27.43 (~v19(constB180)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35517, 35509])).
% 40.98/27.43 tff(35519,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35520,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35521,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180)),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35520, 35519])).
% 40.98/27.43 tff(35522,plain,
% 40.98/27.43 (v13(constB180)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35521, 11149, 35518])).
% 40.98/27.43 tff(35523,plain,
% 40.98/27.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35524,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35525,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179)),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35524, 35523])).
% 40.98/27.43 tff(35526,plain,
% 40.98/27.43 ((~v13(constB180)) | v9(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35525, 11163, 24641])).
% 40.98/27.43 tff(35527,plain,
% 40.98/27.43 (v9(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35526, 35522])).
% 40.98/27.43 tff(35528,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v184(constB179))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB179) | (~v9(constB179)) | v184(constB179))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35529,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v184(constB179))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35530,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB179) | (~v9(constB179)) | v184(constB179)),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35529, 35528])).
% 40.98/27.43 tff(35531,plain,
% 40.98/27.43 ((~v9(constB179)) | v184(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35530, 11178, 24536])).
% 40.98/27.43 tff(35532,plain,
% 40.98/27.43 (v184(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35531, 35527])).
% 40.98/27.43 tff(35533,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB179) | (~v184(constB179)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB179) | (~v184(constB179)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35534,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB179) | (~v184(constB179)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35535,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB179) | (~v184(constB179))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35534, 35533])).
% 40.98/27.43 tff(35536,plain,
% 40.98/27.43 (v183(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35535, 11190, 35532])).
% 40.98/27.43 tff(35537,plain,
% 40.98/27.43 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB179)) | (~v181(constB179)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB179)) | (~v181(constB179)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35538,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB179)) | (~v181(constB179)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35539,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB179)) | (~v181(constB179))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35538, 35537])).
% 40.98/27.43 tff(35540,plain,
% 40.98/27.43 (~v181(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35539, 11201, 35536])).
% 40.98/27.43 tff(35541,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB179) | v185(constB179) | (~v178(constB179)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB179) | v185(constB179) | (~v178(constB179)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35542,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB179) | v185(constB179) | (~v178(constB179)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35543,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB179) | v185(constB179) | (~v178(constB179))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35542, 35541])).
% 40.98/27.43 tff(35544,plain,
% 40.98/27.43 (v185(constB179) | (~v178(constB179))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35543, 11215, 35540])).
% 40.98/27.43 tff(35545,plain,
% 40.98/27.43 (~v178(constB179)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35544, 35505])).
% 40.98/27.43 tff(35546,plain,
% 40.98/27.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35547,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35548,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35547, 35546])).
% 40.98/27.43 tff(35549,plain,
% 40.98/27.43 (v178(constB179) | (~v180(constB180))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35548, 11230, 24641])).
% 40.98/27.43 tff(35550,plain,
% 40.98/27.43 (~v180(constB180)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35549, 35545])).
% 40.98/27.43 tff(35551,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB180) | (~v181(constB180)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB180) | (~v181(constB180)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35552,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB180) | (~v181(constB180)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35553,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB180) | (~v181(constB180))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35552, 35551])).
% 40.98/27.43 tff(35554,plain,
% 40.98/27.43 (~v181(constB180)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35553, 11242, 35550])).
% 40.98/27.43 tff(35555,plain,
% 40.98/27.43 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB180)) | (~v184(constB180)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB180)) | (~v184(constB180)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35556,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB180)) | (~v184(constB180)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35557,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB180)) | (~v184(constB180))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35556, 35555])).
% 40.98/27.43 tff(35558,plain,
% 40.98/27.43 (~v184(constB180)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35557, 11253, 24661])).
% 40.98/27.43 tff(35559,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB180) | (~v187(constB180)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB180) | (~v187(constB180)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35560,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB180) | (~v187(constB180)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35561,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB180) | (~v187(constB180))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35560, 35559])).
% 40.98/27.43 tff(35562,plain,
% 40.98/27.43 (~v187(constB180)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35561, 11264, 35558])).
% 40.98/27.43 tff(35563,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB180) | (~v185(constB180)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB180) | (~v185(constB180)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35564,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB180) | (~v185(constB180)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35565,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB180) | (~v185(constB180))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35564, 35563])).
% 40.98/27.43 tff(35566,plain,
% 40.98/27.43 (~v185(constB180)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35565, 11098, 35562])).
% 40.98/27.43 tff(35567,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB180) | v185(constB180) | (~v178(constB180)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB180) | v185(constB180) | (~v178(constB180)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35568,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB180) | v185(constB180) | (~v178(constB180)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35569,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB180) | v185(constB180) | (~v178(constB180))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35568, 35567])).
% 40.98/27.43 tff(35570,plain,
% 40.98/27.43 (v181(constB180) | (~v178(constB180))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35569, 11215, 35566])).
% 40.98/27.43 tff(35571,plain,
% 40.98/27.43 (~v178(constB180)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35570, 35554])).
% 40.98/27.43 tff(35572,plain,
% 40.98/27.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35573,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35574,plain,
% 40.98/27.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35573, 35572])).
% 40.98/27.43 tff(35575,plain,
% 40.98/27.43 (v178(constB180) | (~v180(constB181))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35574, 11230, 24703])).
% 40.98/27.43 tff(35576,plain,
% 40.98/27.43 (~v180(constB181)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35575, 35571])).
% 40.98/27.43 tff(35577,assumption,(constB181 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.43 tff(35578,plain,
% 40.98/27.43 (v180(constB181) <=> v180(sK0_VarCurr)),
% 40.98/27.43 inference(monotonicity,[status(thm)],[35577])).
% 40.98/27.43 tff(35579,plain,
% 40.98/27.43 (v180(sK0_VarCurr) <=> v180(constB181)),
% 40.98/27.43 inference(symmetry,[status(thm)],[35578])).
% 40.98/27.43 tff(35580,plain,
% 40.98/27.43 (v180(constB181)),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[11002, 35579])).
% 40.98/27.43 tff(35581,assumption,(~v180(constB181)), introduced(assumption)).
% 40.98/27.43 tff(35582,plain,
% 40.98/27.43 ($false),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35581, 35580])).
% 40.98/27.43 tff(35583,plain,((~(constB181 = sK0_VarCurr)) | v180(constB181) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.98/27.43 tff(35584,plain,
% 40.98/27.43 ((~(constB181 = sK0_VarCurr)) | (~v180(sK0_VarCurr))),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35583, 35576])).
% 40.98/27.43 tff(35585,plain,
% 40.98/27.43 (~(constB181 = sK0_VarCurr)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35584, 10998])).
% 40.98/27.43 tff(35586,assumption,(constB41 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.43 tff(35587,plain,
% 40.98/27.43 (v180(constB41) <=> v180(sK0_VarCurr)),
% 40.98/27.43 inference(monotonicity,[status(thm)],[35586])).
% 40.98/27.43 tff(35588,plain,
% 40.98/27.43 (v180(sK0_VarCurr) <=> v180(constB41)),
% 40.98/27.43 inference(symmetry,[status(thm)],[35587])).
% 40.98/27.43 tff(35589,plain,
% 40.98/27.43 (v180(constB41)),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[11002, 35588])).
% 40.98/27.43 tff(35590,plain,
% 40.98/27.43 (((~![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)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35591,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35592,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35591, 35590])).
% 40.98/27.43 tff(35593,plain,
% 40.98/27.43 (~v88(constB39, bitIndex2)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35592, 22090, 5259])).
% 40.98/27.43 tff(35594,plain,
% 40.98/27.43 (((~![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)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35595,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB39, bitIndex1) | (~v88(constB39, bitIndex1)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35596,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB39, bitIndex1) | (~v88(constB39, bitIndex1))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35595, 35594])).
% 40.98/27.43 tff(35597,plain,
% 40.98/27.43 (~v88(constB39, bitIndex1)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35596, 10784, 5296])).
% 40.98/27.43 tff(35598,plain,
% 40.98/27.43 (((~![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))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35599,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35600,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0)),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35599, 35598])).
% 40.98/27.43 tff(35601,plain,
% 40.98/27.43 (v88(constB39, bitIndex0)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35600, 10622, 5343])).
% 40.98/27.43 tff(35602,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35603,plain,
% 40.98/27.43 ((v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39)) <=> (v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35604,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39)))),
% 40.98/27.43 inference(monotonicity,[status(thm)],[35603])).
% 40.98/27.43 tff(35605,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 40.98/27.43 inference(transitivity,[status(thm)],[35604, 35602])).
% 40.98/27.43 tff(35606,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35607,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39)),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35606, 35605])).
% 40.98/27.43 tff(35608,plain,
% 40.98/27.43 (v140(constB39)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35607, 26634, 35601, 35597, 35593])).
% 40.98/27.43 tff(35609,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB39) | (~v140(constB39)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB39) | (~v140(constB39)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35610,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB39) | (~v140(constB39)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35611,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB39) | (~v140(constB39))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35610, 35609])).
% 40.98/27.43 tff(35612,plain,
% 40.98/27.43 (v170(constB39)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35611, 26648, 35608])).
% 40.98/27.43 tff(35613,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB39) | (~v170(constB39)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB39) | (~v170(constB39)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35614,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB39) | (~v170(constB39)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35615,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB39) | (~v170(constB39))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35614, 35613])).
% 40.98/27.43 tff(35616,plain,
% 40.98/27.43 (v167(constB39)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35615, 26659, 35612])).
% 40.98/27.43 tff(35617,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB39) | (~v167(constB39)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB39) | (~v167(constB39)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35618,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB39) | (~v167(constB39)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35619,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB39) | (~v167(constB39))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35618, 35617])).
% 40.98/27.43 tff(35620,plain,
% 40.98/27.43 (v166(constB39)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35619, 22146, 35616])).
% 40.98/27.43 tff(35621,plain,
% 40.98/27.43 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB39) | (~v166(constB39)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB39) | (~v166(constB39)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35622,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB39) | (~v166(constB39)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35623,plain,
% 40.98/27.43 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB39) | (~v166(constB39))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35622, 35621])).
% 40.98/27.43 tff(35624,plain,
% 40.98/27.43 (v165(constB39)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35623, 21181, 35620])).
% 40.98/27.43 tff(35625,plain,
% 40.98/27.43 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB39)) | (~v170(constB39)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB39)) | (~v170(constB39)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35626,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB39)) | (~v170(constB39)))),
% 40.98/27.43 inference(quant_inst,[status(thm)],[])).
% 40.98/27.43 tff(35627,plain,
% 40.98/27.43 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB39)) | (~v170(constB39))),
% 40.98/27.43 inference(modus_ponens,[status(thm)],[35626, 35625])).
% 40.98/27.43 tff(35628,plain,
% 40.98/27.43 (~v169(constB39)),
% 40.98/27.43 inference(unit_resolution,[status(thm)],[35627, 26678, 35612])).
% 40.98/27.43 tff(35629,plain,
% 40.98/27.43 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB39)) | v169(constB39) | (~v165(constB39)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB39)) | v169(constB39) | (~v165(constB39)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35630,plain,
% 40.98/27.43 (((~v165(constB39)) | v169(constB39) | (~v162(constB39))) <=> ((~v162(constB39)) | v169(constB39) | (~v165(constB39)))),
% 40.98/27.43 inference(rewrite,[status(thm)],[])).
% 40.98/27.43 tff(35631,plain,
% 40.98/27.43 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB39)) | v169(constB39) | (~v162(constB39)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB39)) | v169(constB39) | (~v165(constB39))))),
% 40.98/27.43 inference(monotonicity,[status(thm)],[35630])).
% 40.98/27.43 tff(35632,plain,
% 40.98/27.43 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB39)) | v169(constB39) | (~v162(constB39)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB39)) | v169(constB39) | (~v165(constB39)))),
% 40.98/27.44 inference(transitivity,[status(thm)],[35631, 35629])).
% 40.98/27.44 tff(35633,plain,
% 40.98/27.44 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB39)) | v169(constB39) | (~v162(constB39)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35634,plain,
% 40.98/27.44 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB39)) | v169(constB39) | (~v165(constB39))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35633, 35632])).
% 40.98/27.44 tff(35635,plain,
% 40.98/27.44 ((~v162(constB39)) | (~v165(constB39))),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35634, 11073, 35628])).
% 40.98/27.44 tff(35636,plain,
% 40.98/27.44 (~v162(constB39)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35635, 35624])).
% 40.98/27.44 tff(35637,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB39) | (~v187(constB39)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB39) | (~v187(constB39)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35638,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB39) | (~v187(constB39)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35639,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB39) | (~v187(constB39))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35638, 35637])).
% 40.98/27.44 tff(35640,plain,
% 40.98/27.44 (~v187(constB39)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35639, 11087, 35636])).
% 40.98/27.44 tff(35641,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB39) | (~v185(constB39)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB39) | (~v185(constB39)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35642,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB39) | (~v185(constB39)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35643,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB39) | (~v185(constB39))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35642, 35641])).
% 40.98/27.44 tff(35644,plain,
% 40.98/27.44 (~v185(constB39)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35643, 11098, 35640])).
% 40.98/27.44 tff(35645,assumption,(v18(constB40)), introduced(assumption)).
% 40.98/27.44 tff(35646,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB40))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35647,plain,
% 40.98/27.44 ($false),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35646, 11110, 35645])).
% 40.98/27.44 tff(35648,plain,(~v18(constB40)), inference(lemma,lemma(discharge,[]))).
% 40.98/27.44 tff(35649,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35650,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35651,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35650, 35649])).
% 40.98/27.44 tff(35652,plain,
% 40.98/27.44 (v22(constB40)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35651, 11120, 5425])).
% 40.98/27.44 tff(35653,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB40)) | (~v22(constB40)) | v18(constB40))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB40)) | (~v22(constB40)) | v18(constB40))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35654,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB40)) | (~v22(constB40)) | v18(constB40))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35655,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB40)) | (~v22(constB40)) | v18(constB40)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35654, 35653])).
% 40.98/27.44 tff(35656,plain,
% 40.98/27.44 ((~v19(constB40)) | v18(constB40)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35655, 11134, 35652])).
% 40.98/27.44 tff(35657,plain,
% 40.98/27.44 (~v19(constB40)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35656, 35648])).
% 40.98/27.44 tff(35658,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35659,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35660,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35659, 35658])).
% 40.98/27.44 tff(35661,plain,
% 40.98/27.44 (v13(constB40)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35660, 11149, 35657])).
% 40.98/27.44 tff(35662,plain,
% 40.98/27.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35663,plain,
% 40.98/27.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35664,plain,
% 40.98/27.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35663, 35662])).
% 40.98/27.44 tff(35665,plain,
% 40.98/27.44 ((~v13(constB40)) | v9(constB39)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35664, 11163, 5369])).
% 40.98/27.44 tff(35666,plain,
% 40.98/27.44 (v9(constB39)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35665, 35661])).
% 40.98/27.44 tff(35667,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v184(constB39))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB39) | (~v9(constB39)) | v184(constB39))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35668,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v184(constB39))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35669,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB39) | (~v9(constB39)) | v184(constB39)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35668, 35667])).
% 40.98/27.44 tff(35670,plain,
% 40.98/27.44 ((~v9(constB39)) | v184(constB39)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35669, 11178, 5235])).
% 40.98/27.44 tff(35671,plain,
% 40.98/27.44 (v184(constB39)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35670, 35666])).
% 40.98/27.44 tff(35672,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB39) | (~v184(constB39)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB39) | (~v184(constB39)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35673,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB39) | (~v184(constB39)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35674,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB39) | (~v184(constB39))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35673, 35672])).
% 40.98/27.44 tff(35675,plain,
% 40.98/27.44 (v183(constB39)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35674, 11190, 35671])).
% 40.98/27.44 tff(35676,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB39)) | (~v183(constB39)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB39)) | (~v183(constB39)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35677,plain,
% 40.98/27.44 (((~v183(constB39)) | (~v181(constB39))) <=> ((~v181(constB39)) | (~v183(constB39)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35678,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB39)) | (~v181(constB39)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB39)) | (~v183(constB39))))),
% 40.98/27.44 inference(monotonicity,[status(thm)],[35677])).
% 40.98/27.44 tff(35679,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB39)) | (~v181(constB39)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB39)) | (~v183(constB39)))),
% 40.98/27.44 inference(transitivity,[status(thm)],[35678, 35676])).
% 40.98/27.44 tff(35680,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB39)) | (~v181(constB39)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35681,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB39)) | (~v183(constB39))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35680, 35679])).
% 40.98/27.44 tff(35682,plain,
% 40.98/27.44 (~v181(constB39)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35681, 11201, 35675])).
% 40.98/27.44 tff(35683,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB39) | v185(constB39) | (~v178(constB39)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB39) | v185(constB39) | (~v178(constB39)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35684,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB39) | v185(constB39) | (~v178(constB39)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35685,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB39) | v185(constB39) | (~v178(constB39))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35684, 35683])).
% 40.98/27.44 tff(35686,plain,
% 40.98/27.44 (v185(constB39) | (~v178(constB39))),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35685, 11215, 35682])).
% 40.98/27.44 tff(35687,plain,
% 40.98/27.44 (~v178(constB39)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35686, 35644])).
% 40.98/27.44 tff(35688,plain,
% 40.98/27.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB39, constB40)) | v178(constB39) | (~v180(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB39, constB40)) | v178(constB39) | (~v180(constB40)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35689,plain,
% 40.98/27.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB39, constB40)) | v178(constB39) | (~v180(constB40)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35690,plain,
% 40.98/27.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB39, constB40)) | v178(constB39) | (~v180(constB40))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35689, 35688])).
% 40.98/27.44 tff(35691,plain,
% 40.98/27.44 (v178(constB39) | (~v180(constB40))),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35690, 11230, 5369])).
% 40.98/27.44 tff(35692,plain,
% 40.98/27.44 (~v180(constB40)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35691, 35687])).
% 40.98/27.44 tff(35693,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB40) | (~v181(constB40)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB40) | (~v181(constB40)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35694,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB40) | (~v181(constB40)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35695,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB40) | (~v181(constB40))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35694, 35693])).
% 40.98/27.44 tff(35696,plain,
% 40.98/27.44 (~v181(constB40)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35695, 11242, 35692])).
% 40.98/27.44 tff(35697,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB40)) | (~v184(constB40)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB40)) | (~v184(constB40)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35698,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB40)) | (~v184(constB40)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35699,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB40)) | (~v184(constB40))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35698, 35697])).
% 40.98/27.44 tff(35700,plain,
% 40.98/27.44 (~v184(constB40)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35699, 11253, 5425])).
% 40.98/27.44 tff(35701,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB40) | (~v187(constB40)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB40) | (~v187(constB40)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35702,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB40) | (~v187(constB40)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35703,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB40) | (~v187(constB40))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35702, 35701])).
% 40.98/27.44 tff(35704,plain,
% 40.98/27.44 (~v187(constB40)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35703, 11264, 35700])).
% 40.98/27.44 tff(35705,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB40) | (~v185(constB40)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB40) | (~v185(constB40)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35706,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB40) | (~v185(constB40)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35707,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB40) | (~v185(constB40))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35706, 35705])).
% 40.98/27.44 tff(35708,plain,
% 40.98/27.44 (~v185(constB40)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35707, 11098, 35704])).
% 40.98/27.44 tff(35709,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB40) | v185(constB40) | (~v178(constB40)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB40) | v185(constB40) | (~v178(constB40)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35710,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB40) | v185(constB40) | (~v178(constB40)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35711,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB40) | v185(constB40) | (~v178(constB40))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35710, 35709])).
% 40.98/27.44 tff(35712,plain,
% 40.98/27.44 (v181(constB40) | (~v178(constB40))),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35711, 11215, 35708])).
% 40.98/27.44 tff(35713,plain,
% 40.98/27.44 (~v178(constB40)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35712, 35696])).
% 40.98/27.44 tff(35714,plain,
% 40.98/27.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v178(constB40) | (~v180(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB40, constB41)) | v178(constB40) | (~v180(constB41)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35715,plain,
% 40.98/27.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v178(constB40) | (~v180(constB41)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35716,plain,
% 40.98/27.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB40, constB41)) | v178(constB40) | (~v180(constB41))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35715, 35714])).
% 40.98/27.44 tff(35717,plain,
% 40.98/27.44 (v178(constB40) | (~v180(constB41))),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35716, 11230, 5500])).
% 40.98/27.44 tff(35718,plain,
% 40.98/27.44 (~v180(constB41)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35717, 35713])).
% 40.98/27.44 tff(35719,plain,
% 40.98/27.44 ($false),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35718, 35589])).
% 40.98/27.44 tff(35720,plain,((~(constB41 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.98/27.44 tff(35721,plain,
% 40.98/27.44 (~(constB41 = sK0_VarCurr)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35720, 10998])).
% 40.98/27.44 tff(35722,assumption,(constB142 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.44 tff(35723,plain,
% 40.98/27.44 (v1(constB142) <=> v1(sK0_VarCurr)),
% 40.98/27.44 inference(monotonicity,[status(thm)],[35722])).
% 40.98/27.44 tff(35724,plain,
% 40.98/27.44 (v1(sK0_VarCurr) <=> v1(constB142)),
% 40.98/27.44 inference(symmetry,[status(thm)],[35723])).
% 40.98/27.44 tff(35725,plain,
% 40.98/27.44 ((~v1(sK0_VarCurr)) <=> (~v1(constB142))),
% 40.98/27.44 inference(monotonicity,[status(thm)],[35724])).
% 40.98/27.44 tff(35726,plain,
% 40.98/27.44 (~v1(constB142)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[21332, 35725])).
% 40.98/27.44 tff(35727,plain,
% 40.98/27.44 ($false),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[18507, 35726])).
% 40.98/27.44 tff(35728,plain,((~(constB142 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.98/27.44 tff(35729,plain,
% 40.98/27.44 (~(constB142 = sK0_VarCurr)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35728, 21327])).
% 40.98/27.44 tff(35730,assumption,(constB77 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.44 tff(35731,plain,
% 40.98/27.44 (v180(constB77) <=> v180(sK0_VarCurr)),
% 40.98/27.44 inference(monotonicity,[status(thm)],[35730])).
% 40.98/27.44 tff(35732,plain,
% 40.98/27.44 (v180(sK0_VarCurr) <=> v180(constB77)),
% 40.98/27.44 inference(symmetry,[status(thm)],[35731])).
% 40.98/27.44 tff(35733,plain,
% 40.98/27.44 (v180(constB77)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[11002, 35732])).
% 40.98/27.44 tff(35734,plain,
% 40.98/27.44 ($false),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35443, 35733])).
% 40.98/27.44 tff(35735,plain,((~(constB77 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.98/27.44 tff(35736,plain,
% 40.98/27.44 (~(constB77 = sK0_VarCurr)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35735, 10998])).
% 40.98/27.44 tff(35737,assumption,(constB25 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.44 tff(35738,plain,
% 40.98/27.44 (v180(constB25) <=> v180(sK0_VarCurr)),
% 40.98/27.44 inference(monotonicity,[status(thm)],[35737])).
% 40.98/27.44 tff(35739,plain,
% 40.98/27.44 (v180(sK0_VarCurr) <=> v180(constB25)),
% 40.98/27.44 inference(symmetry,[status(thm)],[35738])).
% 40.98/27.44 tff(35740,plain,
% 40.98/27.44 (v180(constB25)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[11002, 35739])).
% 40.98/27.44 tff(35741,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35742,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35743,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35742, 35741])).
% 40.98/27.44 tff(35744,plain,
% 40.98/27.44 (v88(constB23, bitIndex2)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35743, 10566, 3481])).
% 40.98/27.44 tff(35745,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB23, bitIndex2)) | (~v140(constB23)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB23, bitIndex2)) | (~v140(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35746,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB23, bitIndex2)) | (~v140(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35747,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB23, bitIndex2)) | (~v140(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35746, 35745])).
% 40.98/27.44 tff(35748,plain,
% 40.98/27.44 (~v140(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35747, 10577, 35744])).
% 40.98/27.44 tff(35749,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB23, bitIndex0)) | v88(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB23, bitIndex0)) | v88(constB23, bitIndex0))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35750,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB23, bitIndex0)) | v88(constB23, bitIndex0))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35751,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB23, bitIndex0)) | v88(constB23, bitIndex0)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35750, 35749])).
% 40.98/27.44 tff(35752,plain,
% 40.98/27.44 (v88(constB23, bitIndex0)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35751, 10622, 3595])).
% 40.98/27.44 tff(35753,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB23, bitIndex0)) | (~v139(constB23)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB23, bitIndex0)) | (~v139(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35754,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB23, bitIndex0)) | (~v139(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35755,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB23, bitIndex0)) | (~v139(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35754, 35753])).
% 40.98/27.44 tff(35756,plain,
% 40.98/27.44 (~v139(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35755, 10633, 35752])).
% 40.98/27.44 tff(35757,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB23) | v139(constB23) | (~v170(constB23)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB23) | v139(constB23) | (~v170(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35758,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | (v140(constB23) | v139(constB23) | (~v170(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35759,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v170(VarCurr)))) | v140(constB23) | v139(constB23) | (~v170(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35758, 35757])).
% 40.98/27.44 tff(35760,plain,
% 40.98/27.44 (~v170(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35759, 10647, 35756, 35748])).
% 40.98/27.44 tff(35761,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB23, bitIndex2)) | (~v141(constB23)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB23, bitIndex2)) | (~v141(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35762,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB23, bitIndex2)) | (~v141(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35763,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB23, bitIndex2)) | (~v141(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35762, 35761])).
% 40.98/27.44 tff(35764,plain,
% 40.98/27.44 (~v141(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35763, 10658, 35744])).
% 40.98/27.44 tff(35765,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB23) | v170(constB23) | (~v169(constB23)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB23) | v170(constB23) | (~v169(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35766,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB23) | v170(constB23) | (~v169(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35767,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB23) | v170(constB23) | (~v169(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35766, 35765])).
% 40.98/27.44 tff(35768,plain,
% 40.98/27.44 (~v169(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35767, 11040, 35764, 35760])).
% 40.98/27.44 tff(35769,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB23, bitIndex1) | (~v88(constB23, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB23, bitIndex1) | (~v88(constB23, bitIndex1)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35770,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB23, bitIndex1) | (~v88(constB23, bitIndex1)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35771,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB23, bitIndex1) | (~v88(constB23, bitIndex1))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35770, 35769])).
% 40.98/27.44 tff(35772,plain,
% 40.98/27.44 (~v88(constB23, bitIndex1)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35771, 10784, 3515])).
% 40.98/27.44 tff(35773,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35774,plain,
% 40.98/27.44 (((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23)) <=> ((~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35775,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1)))),
% 40.98/27.44 inference(monotonicity,[status(thm)],[35774])).
% 40.98/27.44 tff(35776,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1))),
% 40.98/27.44 inference(transitivity,[status(thm)],[35775, 35773])).
% 40.98/27.44 tff(35777,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35778,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35777, 35776])).
% 40.98/27.44 tff(35779,plain,
% 40.98/27.44 (v147(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35778, 10798, 35752, 35744, 35772])).
% 40.98/27.44 tff(35780,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB23) | (~v147(constB23)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB23) | (~v147(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35781,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB23) | (~v147(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35782,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB23) | (~v147(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35781, 35780])).
% 40.98/27.44 tff(35783,plain,
% 40.98/27.44 (v145(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35782, 10812, 35779])).
% 40.98/27.44 tff(35784,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB23) | (~v145(constB23)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB23) | (~v145(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35785,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | (v165(constB23) | (~v145(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35786,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v165(VarCurr) | (~v145(VarCurr)))) | v165(constB23) | (~v145(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35785, 35784])).
% 40.98/27.44 tff(35787,plain,
% 40.98/27.44 (v165(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35786, 10823, 35783])).
% 40.98/27.44 tff(35788,plain,
% 40.98/27.44 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB23)) | v169(constB23) | (~v165(constB23)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB23)) | v169(constB23) | (~v165(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35789,plain,
% 40.98/27.44 (((~v165(constB23)) | v169(constB23) | (~v162(constB23))) <=> ((~v162(constB23)) | v169(constB23) | (~v165(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35790,plain,
% 40.98/27.44 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB23)) | v169(constB23) | (~v162(constB23)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB23)) | v169(constB23) | (~v165(constB23))))),
% 40.98/27.44 inference(monotonicity,[status(thm)],[35789])).
% 40.98/27.44 tff(35791,plain,
% 40.98/27.44 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB23)) | v169(constB23) | (~v162(constB23)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB23)) | v169(constB23) | (~v165(constB23)))),
% 40.98/27.44 inference(transitivity,[status(thm)],[35790, 35788])).
% 40.98/27.44 tff(35792,plain,
% 40.98/27.44 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB23)) | v169(constB23) | (~v162(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35793,plain,
% 40.98/27.44 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB23)) | v169(constB23) | (~v165(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35792, 35791])).
% 40.98/27.44 tff(35794,plain,
% 40.98/27.44 (~v162(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35793, 11073, 35787, 35768])).
% 40.98/27.44 tff(35795,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB23) | (~v187(constB23)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB23) | (~v187(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35796,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB23) | (~v187(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35797,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB23) | (~v187(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35796, 35795])).
% 40.98/27.44 tff(35798,plain,
% 40.98/27.44 (~v187(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35797, 11087, 35794])).
% 40.98/27.44 tff(35799,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB23) | (~v185(constB23)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB23) | (~v185(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35800,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB23) | (~v185(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35801,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB23) | (~v185(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35800, 35799])).
% 40.98/27.44 tff(35802,plain,
% 40.98/27.44 (~v185(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35801, 11098, 35798])).
% 40.98/27.44 tff(35803,assumption,(v18(constB24)), introduced(assumption)).
% 40.98/27.44 tff(35804,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB24))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35805,plain,
% 40.98/27.44 ($false),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35804, 11110, 35803])).
% 40.98/27.44 tff(35806,plain,(~v18(constB24)), inference(lemma,lemma(discharge,[]))).
% 40.98/27.44 tff(35807,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB24) | (~v1(constB24)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB24) | (~v1(constB24)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35808,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB24) | (~v1(constB24)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35809,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB24) | (~v1(constB24))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35808, 35807])).
% 40.98/27.44 tff(35810,plain,
% 40.98/27.44 (v22(constB24)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35809, 11120, 3643])).
% 40.98/27.44 tff(35811,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB24)) | (~v22(constB24)) | v18(constB24))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB24)) | (~v22(constB24)) | v18(constB24))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35812,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB24)) | (~v22(constB24)) | v18(constB24))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35813,plain,
% 40.98/27.44 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB24)) | (~v22(constB24)) | v18(constB24)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35812, 35811])).
% 40.98/27.44 tff(35814,plain,
% 40.98/27.44 ((~v19(constB24)) | v18(constB24)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35813, 11134, 35810])).
% 40.98/27.44 tff(35815,plain,
% 40.98/27.44 (~v19(constB24)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35814, 35806])).
% 40.98/27.44 tff(35816,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB24) | v19(constB24))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB24) | v19(constB24))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35817,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB24) | v19(constB24))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35818,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB24) | v19(constB24)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35817, 35816])).
% 40.98/27.44 tff(35819,plain,
% 40.98/27.44 (v13(constB24)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35818, 11149, 35815])).
% 40.98/27.44 tff(35820,plain,
% 40.98/27.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35821,plain,
% 40.98/27.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35822,plain,
% 40.98/27.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35821, 35820])).
% 40.98/27.44 tff(35823,plain,
% 40.98/27.44 ((~v13(constB24)) | v9(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35822, 11163, 3615])).
% 40.98/27.44 tff(35824,plain,
% 40.98/27.44 (v9(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35823, 35819])).
% 40.98/27.44 tff(35825,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB23) | (~v9(constB23)) | v184(constB23))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB23) | (~v9(constB23)) | v184(constB23))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35826,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB23) | (~v9(constB23)) | v184(constB23))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35827,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB23) | (~v9(constB23)) | v184(constB23)),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35826, 35825])).
% 40.98/27.44 tff(35828,plain,
% 40.98/27.44 ((~v9(constB23)) | v184(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35827, 11178, 3457])).
% 40.98/27.44 tff(35829,plain,
% 40.98/27.44 (v184(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35828, 35824])).
% 40.98/27.44 tff(35830,plain,
% 40.98/27.44 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB23) | (~v184(constB23)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB23) | (~v184(constB23)))),
% 40.98/27.44 inference(rewrite,[status(thm)],[])).
% 40.98/27.44 tff(35831,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB23) | (~v184(constB23)))),
% 40.98/27.44 inference(quant_inst,[status(thm)],[])).
% 40.98/27.44 tff(35832,plain,
% 40.98/27.44 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB23) | (~v184(constB23))),
% 40.98/27.44 inference(modus_ponens,[status(thm)],[35831, 35830])).
% 40.98/27.44 tff(35833,plain,
% 40.98/27.44 (v183(constB23)),
% 40.98/27.44 inference(unit_resolution,[status(thm)],[35832, 11190, 35829])).
% 40.98/27.44 tff(35834,plain,
% 40.98/27.44 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB23)) | (~v181(constB23)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB23)) | (~v181(constB23)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35835,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB23)) | (~v181(constB23)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35836,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB23)) | (~v181(constB23))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35835, 35834])).
% 40.98/27.45 tff(35837,plain,
% 40.98/27.45 (~v181(constB23)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35836, 11201, 35833])).
% 40.98/27.45 tff(35838,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB23) | v185(constB23) | (~v178(constB23)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB23) | v185(constB23) | (~v178(constB23)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35839,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB23) | v185(constB23) | (~v178(constB23)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35840,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB23) | v185(constB23) | (~v178(constB23))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35839, 35838])).
% 40.98/27.45 tff(35841,plain,
% 40.98/27.45 (v185(constB23) | (~v178(constB23))),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35840, 11215, 35837])).
% 40.98/27.45 tff(35842,plain,
% 40.98/27.45 (~v178(constB23)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35841, 35802])).
% 40.98/27.45 tff(35843,plain,
% 40.98/27.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB23, constB24)) | v178(constB23) | (~v180(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB23, constB24)) | v178(constB23) | (~v180(constB24)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35844,plain,
% 40.98/27.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB23, constB24)) | v178(constB23) | (~v180(constB24)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35845,plain,
% 40.98/27.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB23, constB24)) | v178(constB23) | (~v180(constB24))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35844, 35843])).
% 40.98/27.45 tff(35846,plain,
% 40.98/27.45 (v178(constB23) | (~v180(constB24))),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35845, 11230, 3615])).
% 40.98/27.45 tff(35847,plain,
% 40.98/27.45 (~v180(constB24)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35846, 35842])).
% 40.98/27.45 tff(35848,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB24) | (~v181(constB24)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB24) | (~v181(constB24)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35849,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB24) | (~v181(constB24)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35850,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB24) | (~v181(constB24))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35849, 35848])).
% 40.98/27.45 tff(35851,plain,
% 40.98/27.45 (~v181(constB24)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35850, 11242, 35847])).
% 40.98/27.45 tff(35852,plain,
% 40.98/27.45 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB24)) | (~v184(constB24)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB24)) | (~v184(constB24)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35853,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB24)) | (~v184(constB24)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35854,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB24)) | (~v184(constB24))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35853, 35852])).
% 40.98/27.45 tff(35855,plain,
% 40.98/27.45 (~v184(constB24)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35854, 11253, 3643])).
% 40.98/27.45 tff(35856,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB24) | (~v187(constB24)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB24) | (~v187(constB24)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35857,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB24) | (~v187(constB24)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35858,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB24) | (~v187(constB24))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35857, 35856])).
% 40.98/27.45 tff(35859,plain,
% 40.98/27.45 (~v187(constB24)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35858, 11264, 35855])).
% 40.98/27.45 tff(35860,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB24) | (~v185(constB24)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB24) | (~v185(constB24)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35861,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB24) | (~v185(constB24)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35862,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB24) | (~v185(constB24))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35861, 35860])).
% 40.98/27.45 tff(35863,plain,
% 40.98/27.45 (~v185(constB24)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35862, 11098, 35859])).
% 40.98/27.45 tff(35864,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB24) | v185(constB24) | (~v178(constB24)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB24) | v185(constB24) | (~v178(constB24)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35865,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB24) | v185(constB24) | (~v178(constB24)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35866,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB24) | v185(constB24) | (~v178(constB24))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35865, 35864])).
% 40.98/27.45 tff(35867,plain,
% 40.98/27.45 (v181(constB24) | (~v178(constB24))),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35866, 11215, 35863])).
% 40.98/27.45 tff(35868,plain,
% 40.98/27.45 (~v178(constB24)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35867, 35851])).
% 40.98/27.45 tff(35869,plain,
% 40.98/27.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB24, constB25)) | v178(constB24) | (~v180(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB24, constB25)) | v178(constB24) | (~v180(constB25)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35870,plain,
% 40.98/27.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB24, constB25)) | v178(constB24) | (~v180(constB25)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35871,plain,
% 40.98/27.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB24, constB25)) | v178(constB24) | (~v180(constB25))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35870, 35869])).
% 40.98/27.45 tff(35872,plain,
% 40.98/27.45 (v178(constB24) | (~v180(constB25))),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35871, 11230, 3768])).
% 40.98/27.45 tff(35873,plain,
% 40.98/27.45 (~v180(constB25)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35872, 35868])).
% 40.98/27.45 tff(35874,plain,
% 40.98/27.45 ($false),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35873, 35740])).
% 40.98/27.45 tff(35875,plain,((~(constB25 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.98/27.45 tff(35876,plain,
% 40.98/27.45 (~(constB25 = sK0_VarCurr)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35875, 10998])).
% 40.98/27.45 tff(35877,assumption,(constB46 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.45 tff(35878,plain,
% 40.98/27.45 (v1(constB46) <=> v1(sK0_VarCurr)),
% 40.98/27.45 inference(monotonicity,[status(thm)],[35877])).
% 40.98/27.45 tff(35879,plain,
% 40.98/27.45 (v1(sK0_VarCurr) <=> v1(constB46)),
% 40.98/27.45 inference(symmetry,[status(thm)],[35878])).
% 40.98/27.45 tff(35880,plain,
% 40.98/27.45 ((~v1(sK0_VarCurr)) <=> (~v1(constB46))),
% 40.98/27.45 inference(monotonicity,[status(thm)],[35879])).
% 40.98/27.45 tff(35881,plain,
% 40.98/27.45 (~v1(constB46)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[21332, 35880])).
% 40.98/27.45 tff(35882,plain,
% 40.98/27.45 ($false),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[6245, 35881])).
% 40.98/27.45 tff(35883,plain,((~(constB46 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.98/27.45 tff(35884,plain,
% 40.98/27.45 (~(constB46 = sK0_VarCurr)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35883, 21327])).
% 40.98/27.45 tff(35885,assumption,(constB53 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.45 tff(35886,plain,
% 40.98/27.45 (v180(constB53) <=> v180(sK0_VarCurr)),
% 40.98/27.45 inference(monotonicity,[status(thm)],[35885])).
% 40.98/27.45 tff(35887,plain,
% 40.98/27.45 (v180(sK0_VarCurr) <=> v180(constB53)),
% 40.98/27.45 inference(symmetry,[status(thm)],[35886])).
% 40.98/27.45 tff(35888,plain,
% 40.98/27.45 (v180(constB53)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[11002, 35887])).
% 40.98/27.45 tff(35889,plain,
% 40.98/27.45 (((~![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)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35890,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB51, bitIndex2) | (~v88(constB51, bitIndex2)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35891,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB51, bitIndex2) | (~v88(constB51, bitIndex2))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35890, 35889])).
% 40.98/27.45 tff(35892,plain,
% 40.98/27.45 (~v88(constB51, bitIndex2)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35891, 22090, 6697])).
% 40.98/27.45 tff(35893,plain,
% 40.98/27.45 (((~![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)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35894,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB51, bitIndex1) | (~v88(constB51, bitIndex1)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35895,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB51, bitIndex1) | (~v88(constB51, bitIndex1))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35894, 35893])).
% 40.98/27.45 tff(35896,plain,
% 40.98/27.45 (~v88(constB51, bitIndex1)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35895, 10784, 6734])).
% 40.98/27.45 tff(35897,plain,
% 40.98/27.45 (((~![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))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35898,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35899,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35898, 35897])).
% 40.98/27.45 tff(35900,plain,
% 40.98/27.45 (v88(constB51, bitIndex0)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35899, 10622, 6797])).
% 40.98/27.45 tff(35901,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB51, bitIndex0)) | v140(constB51) | v88(constB51, bitIndex1) | v88(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB51, bitIndex0)) | v140(constB51) | v88(constB51, bitIndex1) | v88(constB51, bitIndex2))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35902,plain,
% 40.98/27.45 ((v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51)) <=> ((~v88(constB51, bitIndex0)) | v140(constB51) | v88(constB51, bitIndex1) | v88(constB51, bitIndex2))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35903,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB51, bitIndex0)) | v140(constB51) | v88(constB51, bitIndex1) | v88(constB51, bitIndex2)))),
% 40.98/27.45 inference(monotonicity,[status(thm)],[35902])).
% 40.98/27.45 tff(35904,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB51, bitIndex0)) | v140(constB51) | v88(constB51, bitIndex1) | v88(constB51, bitIndex2))),
% 40.98/27.45 inference(transitivity,[status(thm)],[35903, 35901])).
% 40.98/27.45 tff(35905,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35906,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB51, bitIndex0)) | v140(constB51) | v88(constB51, bitIndex1) | v88(constB51, bitIndex2)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35905, 35904])).
% 40.98/27.45 tff(35907,plain,
% 40.98/27.45 (v140(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35906, 26634, 35900, 35896, 35892])).
% 40.98/27.45 tff(35908,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB51) | (~v140(constB51)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB51) | (~v140(constB51)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35909,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB51) | (~v140(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35910,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB51) | (~v140(constB51))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35909, 35908])).
% 40.98/27.45 tff(35911,plain,
% 40.98/27.45 (v170(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35910, 26648, 35907])).
% 40.98/27.45 tff(35912,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB51) | (~v170(constB51)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB51) | (~v170(constB51)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35913,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB51) | (~v170(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35914,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB51) | (~v170(constB51))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35913, 35912])).
% 40.98/27.45 tff(35915,plain,
% 40.98/27.45 (v167(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35914, 26659, 35911])).
% 40.98/27.45 tff(35916,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB51) | (~v167(constB51)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB51) | (~v167(constB51)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35917,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB51) | (~v167(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35918,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB51) | (~v167(constB51))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35917, 35916])).
% 40.98/27.45 tff(35919,plain,
% 40.98/27.45 (v166(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35918, 22146, 35915])).
% 40.98/27.45 tff(35920,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB51) | (~v166(constB51)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB51) | (~v166(constB51)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35921,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB51) | (~v166(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35922,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB51) | (~v166(constB51))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35921, 35920])).
% 40.98/27.45 tff(35923,plain,
% 40.98/27.45 (v165(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35922, 21181, 35919])).
% 40.98/27.45 tff(35924,plain,
% 40.98/27.45 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB51)) | (~v170(constB51)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB51)) | (~v170(constB51)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35925,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB51)) | (~v170(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35926,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB51)) | (~v170(constB51))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35925, 35924])).
% 40.98/27.45 tff(35927,plain,
% 40.98/27.45 (~v169(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35926, 26678, 35911])).
% 40.98/27.45 tff(35928,plain,
% 40.98/27.45 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB51)) | (~v165(constB51)) | v169(constB51))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB51)) | (~v165(constB51)) | v169(constB51))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35929,plain,
% 40.98/27.45 (((~v165(constB51)) | v169(constB51) | (~v162(constB51))) <=> ((~v162(constB51)) | (~v165(constB51)) | v169(constB51))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35930,plain,
% 40.98/27.45 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB51)) | v169(constB51) | (~v162(constB51)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB51)) | (~v165(constB51)) | v169(constB51)))),
% 40.98/27.45 inference(monotonicity,[status(thm)],[35929])).
% 40.98/27.45 tff(35931,plain,
% 40.98/27.45 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB51)) | v169(constB51) | (~v162(constB51)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB51)) | (~v165(constB51)) | v169(constB51))),
% 40.98/27.45 inference(transitivity,[status(thm)],[35930, 35928])).
% 40.98/27.45 tff(35932,plain,
% 40.98/27.45 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB51)) | v169(constB51) | (~v162(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35933,plain,
% 40.98/27.45 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB51)) | (~v165(constB51)) | v169(constB51)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35932, 35931])).
% 40.98/27.45 tff(35934,plain,
% 40.98/27.45 ((~v162(constB51)) | (~v165(constB51))),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35933, 11073, 35927])).
% 40.98/27.45 tff(35935,plain,
% 40.98/27.45 (~v162(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35934, 35923])).
% 40.98/27.45 tff(35936,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB51) | (~v187(constB51)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB51) | (~v187(constB51)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35937,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB51) | (~v187(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35938,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB51) | (~v187(constB51))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35937, 35936])).
% 40.98/27.45 tff(35939,plain,
% 40.98/27.45 (~v187(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35938, 11087, 35935])).
% 40.98/27.45 tff(35940,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB51) | (~v185(constB51)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB51) | (~v185(constB51)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35941,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB51) | (~v185(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35942,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB51) | (~v185(constB51))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35941, 35940])).
% 40.98/27.45 tff(35943,plain,
% 40.98/27.45 (~v185(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35942, 11098, 35939])).
% 40.98/27.45 tff(35944,assumption,(v18(constB52)), introduced(assumption)).
% 40.98/27.45 tff(35945,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB52))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35946,plain,
% 40.98/27.45 ($false),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35945, 11110, 35944])).
% 40.98/27.45 tff(35947,plain,(~v18(constB52)), inference(lemma,lemma(discharge,[]))).
% 40.98/27.45 tff(35948,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35949,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35950,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35949, 35948])).
% 40.98/27.45 tff(35951,plain,
% 40.98/27.45 (v22(constB52)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35950, 11120, 6864])).
% 40.98/27.45 tff(35952,plain,
% 40.98/27.45 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB52)) | (~v22(constB52)) | v18(constB52))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB52)) | (~v22(constB52)) | v18(constB52))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35953,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB52)) | (~v22(constB52)) | v18(constB52))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35954,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB52)) | (~v22(constB52)) | v18(constB52)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35953, 35952])).
% 40.98/27.45 tff(35955,plain,
% 40.98/27.45 ((~v19(constB52)) | v18(constB52)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35954, 11134, 35951])).
% 40.98/27.45 tff(35956,plain,
% 40.98/27.45 (~v19(constB52)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35955, 35947])).
% 40.98/27.45 tff(35957,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35958,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35959,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35958, 35957])).
% 40.98/27.45 tff(35960,plain,
% 40.98/27.45 (v13(constB52)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35959, 11149, 35956])).
% 40.98/27.45 tff(35961,plain,
% 40.98/27.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35962,plain,
% 40.98/27.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35963,plain,
% 40.98/27.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35962, 35961])).
% 40.98/27.45 tff(35964,plain,
% 40.98/27.45 ((~v13(constB52)) | v9(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35963, 11163, 6844])).
% 40.98/27.45 tff(35965,plain,
% 40.98/27.45 (v9(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35964, 35960])).
% 40.98/27.45 tff(35966,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v184(constB51))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB51) | (~v9(constB51)) | v184(constB51))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35967,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v184(constB51))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35968,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB51) | (~v9(constB51)) | v184(constB51)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35967, 35966])).
% 40.98/27.45 tff(35969,plain,
% 40.98/27.45 ((~v9(constB51)) | v184(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35968, 11178, 6673])).
% 40.98/27.45 tff(35970,plain,
% 40.98/27.45 (v184(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35969, 35965])).
% 40.98/27.45 tff(35971,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB51) | (~v184(constB51)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB51) | (~v184(constB51)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35972,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB51) | (~v184(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35973,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB51) | (~v184(constB51))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35972, 35971])).
% 40.98/27.45 tff(35974,plain,
% 40.98/27.45 (v183(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35973, 11190, 35970])).
% 40.98/27.45 tff(35975,plain,
% 40.98/27.45 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB51)) | (~v181(constB51)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB51)) | (~v181(constB51)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35976,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB51)) | (~v181(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35977,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v183(constB51)) | (~v181(constB51))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35976, 35975])).
% 40.98/27.45 tff(35978,plain,
% 40.98/27.45 (~v181(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35977, 11201, 35974])).
% 40.98/27.45 tff(35979,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB51) | v185(constB51) | (~v178(constB51)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB51) | v185(constB51) | (~v178(constB51)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35980,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB51) | v185(constB51) | (~v178(constB51)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35981,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB51) | v185(constB51) | (~v178(constB51))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35980, 35979])).
% 40.98/27.45 tff(35982,plain,
% 40.98/27.45 (v185(constB51) | (~v178(constB51))),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35981, 11215, 35978])).
% 40.98/27.45 tff(35983,plain,
% 40.98/27.45 (~v178(constB51)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35982, 35943])).
% 40.98/27.45 tff(35984,plain,
% 40.98/27.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB51, constB52)) | v178(constB51) | (~v180(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB51, constB52)) | v178(constB51) | (~v180(constB52)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35985,plain,
% 40.98/27.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB51, constB52)) | v178(constB51) | (~v180(constB52)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35986,plain,
% 40.98/27.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB51, constB52)) | v178(constB51) | (~v180(constB52))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35985, 35984])).
% 40.98/27.45 tff(35987,plain,
% 40.98/27.45 (v178(constB51) | (~v180(constB52))),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35986, 11230, 6844])).
% 40.98/27.45 tff(35988,plain,
% 40.98/27.45 (~v180(constB52)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35987, 35983])).
% 40.98/27.45 tff(35989,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB52) | (~v181(constB52)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB52) | (~v181(constB52)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35990,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB52) | (~v181(constB52)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35991,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB52) | (~v181(constB52))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35990, 35989])).
% 40.98/27.45 tff(35992,plain,
% 40.98/27.45 (~v181(constB52)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35991, 11242, 35988])).
% 40.98/27.45 tff(35993,plain,
% 40.98/27.45 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB52)) | (~v184(constB52)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB52)) | (~v184(constB52)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35994,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB52)) | (~v184(constB52)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35995,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB52)) | (~v184(constB52))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35994, 35993])).
% 40.98/27.45 tff(35996,plain,
% 40.98/27.45 (~v184(constB52)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35995, 11253, 6864])).
% 40.98/27.45 tff(35997,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB52) | (~v187(constB52)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB52) | (~v187(constB52)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(35998,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB52) | (~v187(constB52)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(35999,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB52) | (~v187(constB52))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[35998, 35997])).
% 40.98/27.45 tff(36000,plain,
% 40.98/27.45 (~v187(constB52)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[35999, 11264, 35996])).
% 40.98/27.45 tff(36001,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB52) | (~v185(constB52)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB52) | (~v185(constB52)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(36002,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB52) | (~v185(constB52)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(36003,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB52) | (~v185(constB52))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[36002, 36001])).
% 40.98/27.45 tff(36004,plain,
% 40.98/27.45 (~v185(constB52)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36003, 11098, 36000])).
% 40.98/27.45 tff(36005,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB52) | v185(constB52) | (~v178(constB52)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB52) | v185(constB52) | (~v178(constB52)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(36006,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB52) | v185(constB52) | (~v178(constB52)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(36007,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB52) | v185(constB52) | (~v178(constB52))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[36006, 36005])).
% 40.98/27.45 tff(36008,plain,
% 40.98/27.45 (v181(constB52) | (~v178(constB52))),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36007, 11215, 36004])).
% 40.98/27.45 tff(36009,plain,
% 40.98/27.45 (~v178(constB52)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36008, 35992])).
% 40.98/27.45 tff(36010,plain,
% 40.98/27.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB52, constB53)) | v178(constB52) | (~v180(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB52, constB53)) | v178(constB52) | (~v180(constB53)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(36011,plain,
% 40.98/27.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB52, constB53)) | v178(constB52) | (~v180(constB53)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(36012,plain,
% 40.98/27.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB52, constB53)) | v178(constB52) | (~v180(constB53))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[36011, 36010])).
% 40.98/27.45 tff(36013,plain,
% 40.98/27.45 (v178(constB52) | (~v180(constB53))),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36012, 11230, 6909])).
% 40.98/27.45 tff(36014,plain,
% 40.98/27.45 (~v180(constB53)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36013, 36009])).
% 40.98/27.45 tff(36015,plain,
% 40.98/27.45 ($false),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36014, 35888])).
% 40.98/27.45 tff(36016,plain,((~(constB53 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.98/27.45 tff(36017,plain,
% 40.98/27.45 (~(constB53 = sK0_VarCurr)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36016, 10998])).
% 40.98/27.45 tff(36018,assumption,(constB192 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.45 tff(36019,plain,
% 40.98/27.45 (v1(constB192) <=> v1(sK0_VarCurr)),
% 40.98/27.45 inference(monotonicity,[status(thm)],[36018])).
% 40.98/27.45 tff(36020,plain,
% 40.98/27.45 (v1(sK0_VarCurr) <=> v1(constB192)),
% 40.98/27.45 inference(symmetry,[status(thm)],[36019])).
% 40.98/27.45 tff(36021,plain,
% 40.98/27.45 ((~v1(sK0_VarCurr)) <=> (~v1(constB192))),
% 40.98/27.45 inference(monotonicity,[status(thm)],[36020])).
% 40.98/27.45 tff(36022,plain,
% 40.98/27.45 (~v1(constB192)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[21332, 36021])).
% 40.98/27.45 tff(36023,plain,
% 40.98/27.45 ($false),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[26273, 36022])).
% 40.98/27.45 tff(36024,plain,((~(constB192 = sK0_VarCurr)) | v1(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.98/27.45 tff(36025,plain,
% 40.98/27.45 (~(constB192 = sK0_VarCurr)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36024, 21327])).
% 40.98/27.45 tff(36026,assumption,(constB65 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.45 tff(36027,plain,
% 40.98/27.45 (v180(constB65) <=> v180(sK0_VarCurr)),
% 40.98/27.45 inference(monotonicity,[status(thm)],[36026])).
% 40.98/27.45 tff(36028,plain,
% 40.98/27.45 (v180(sK0_VarCurr) <=> v180(constB65)),
% 40.98/27.45 inference(symmetry,[status(thm)],[36027])).
% 40.98/27.45 tff(36029,plain,
% 40.98/27.45 (v180(constB65)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[11002, 36028])).
% 40.98/27.45 tff(36030,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(36031,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(36032,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[36031, 36030])).
% 40.98/27.45 tff(36033,plain,
% 40.98/27.45 (~v88(constB63, bitIndex2)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36032, 22090, 8250])).
% 40.98/27.45 tff(36034,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1)))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(36035,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1)))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(36036,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1))),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[36035, 36034])).
% 40.98/27.45 tff(36037,plain,
% 40.98/27.45 (~v88(constB63, bitIndex1)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36036, 10784, 8213])).
% 40.98/27.45 tff(36038,plain,
% 40.98/27.45 (v130(constB61, bitIndex0)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[8554, 2753, 8158, 8154, 8150, 8146, 8142, 8138])).
% 40.98/27.45 tff(36039,plain,
% 40.98/27.45 (v127(constB61, bitIndex0)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[8501, 36038])).
% 40.98/27.45 tff(36040,plain,
% 40.98/27.45 (v129(constB62, bitIndex0)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[8496, 36039])).
% 40.98/27.45 tff(36041,plain,
% 40.98/27.45 (v90(constB62, bitIndex0) | (~v100(constB62))),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[8490, 631, 36040])).
% 40.98/27.45 tff(36042,plain,
% 40.98/27.45 (v90(constB62, bitIndex0)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36041, 8134])).
% 40.98/27.45 tff(36043,plain,
% 40.98/27.45 (v90(constB63, bitIndex0)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[8287, 36042])).
% 40.98/27.45 tff(36044,plain,
% 40.98/27.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(36045,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))),
% 40.98/27.45 inference(quant_inst,[status(thm)],[])).
% 40.98/27.45 tff(36046,plain,
% 40.98/27.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0)),
% 40.98/27.45 inference(modus_ponens,[status(thm)],[36045, 36044])).
% 40.98/27.45 tff(36047,plain,
% 40.98/27.45 (v88(constB63, bitIndex0)),
% 40.98/27.45 inference(unit_resolution,[status(thm)],[36046, 10622, 36043])).
% 40.98/27.45 tff(36048,plain,
% 40.98/27.45 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))),
% 40.98/27.45 inference(rewrite,[status(thm)],[])).
% 40.98/27.45 tff(36049,plain,
% 40.98/27.45 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36050,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36049, 36048])).
% 40.98/27.46 tff(36051,plain,
% 40.98/27.46 (v140(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36050, 26634, 36047, 36037, 36033])).
% 40.98/27.46 tff(36052,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB63) | (~v140(constB63)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB63) | (~v140(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36053,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB63) | (~v140(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36054,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB63) | (~v140(constB63))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36053, 36052])).
% 40.98/27.46 tff(36055,plain,
% 40.98/27.46 (v170(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36054, 26648, 36051])).
% 40.98/27.46 tff(36056,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB63) | (~v170(constB63)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB63) | (~v170(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36057,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB63) | (~v170(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36058,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB63) | (~v170(constB63))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36057, 36056])).
% 40.98/27.46 tff(36059,plain,
% 40.98/27.46 (v167(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36058, 26659, 36055])).
% 40.98/27.46 tff(36060,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB63) | (~v167(constB63)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB63) | (~v167(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36061,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB63) | (~v167(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36062,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB63) | (~v167(constB63))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36061, 36060])).
% 40.98/27.46 tff(36063,plain,
% 40.98/27.46 (v166(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36062, 22146, 36059])).
% 40.98/27.46 tff(36064,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB63) | (~v166(constB63)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB63) | (~v166(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36065,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB63) | (~v166(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36066,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB63) | (~v166(constB63))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36065, 36064])).
% 40.98/27.46 tff(36067,plain,
% 40.98/27.46 (v165(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36066, 21181, 36063])).
% 40.98/27.46 tff(36068,plain,
% 40.98/27.46 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB63)) | (~v170(constB63)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB63)) | (~v170(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36069,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB63)) | (~v170(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36070,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB63)) | (~v170(constB63))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36069, 36068])).
% 40.98/27.46 tff(36071,plain,
% 40.98/27.46 (~v169(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36070, 26678, 36055])).
% 40.98/27.46 tff(36072,plain,
% 40.98/27.46 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB63)) | (~v165(constB63)) | v169(constB63))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB63)) | (~v165(constB63)) | v169(constB63))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36073,plain,
% 40.98/27.46 (((~v165(constB63)) | v169(constB63) | (~v162(constB63))) <=> ((~v162(constB63)) | (~v165(constB63)) | v169(constB63))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36074,plain,
% 40.98/27.46 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB63)) | v169(constB63) | (~v162(constB63)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB63)) | (~v165(constB63)) | v169(constB63)))),
% 40.98/27.46 inference(monotonicity,[status(thm)],[36073])).
% 40.98/27.46 tff(36075,plain,
% 40.98/27.46 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB63)) | v169(constB63) | (~v162(constB63)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB63)) | (~v165(constB63)) | v169(constB63))),
% 40.98/27.46 inference(transitivity,[status(thm)],[36074, 36072])).
% 40.98/27.46 tff(36076,plain,
% 40.98/27.46 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB63)) | v169(constB63) | (~v162(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36077,plain,
% 40.98/27.46 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB63)) | (~v165(constB63)) | v169(constB63)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36076, 36075])).
% 40.98/27.46 tff(36078,plain,
% 40.98/27.46 ((~v162(constB63)) | (~v165(constB63))),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36077, 11073, 36071])).
% 40.98/27.46 tff(36079,plain,
% 40.98/27.46 (~v162(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36078, 36067])).
% 40.98/27.46 tff(36080,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB63) | (~v187(constB63)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB63) | (~v187(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36081,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB63) | (~v187(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36082,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB63) | (~v187(constB63))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36081, 36080])).
% 40.98/27.46 tff(36083,plain,
% 40.98/27.46 (~v187(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36082, 11087, 36079])).
% 40.98/27.46 tff(36084,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB63) | (~v185(constB63)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB63) | (~v185(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36085,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB63) | (~v185(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36086,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB63) | (~v185(constB63))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36085, 36084])).
% 40.98/27.46 tff(36087,plain,
% 40.98/27.46 (~v185(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36086, 11098, 36083])).
% 40.98/27.46 tff(36088,assumption,(v18(constB64)), introduced(assumption)).
% 40.98/27.46 tff(36089,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB64))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36090,plain,
% 40.98/27.46 ($false),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36089, 11110, 36088])).
% 40.98/27.46 tff(36091,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 40.98/27.46 tff(36092,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36093,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36094,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36093, 36092])).
% 40.98/27.46 tff(36095,plain,
% 40.98/27.46 (v22(constB64)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36094, 11120, 8636])).
% 40.98/27.46 tff(36096,plain,
% 40.98/27.46 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB64)) | (~v22(constB64)) | v18(constB64))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB64)) | (~v22(constB64)) | v18(constB64))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36097,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB64)) | (~v22(constB64)) | v18(constB64))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36098,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB64)) | (~v22(constB64)) | v18(constB64)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36097, 36096])).
% 40.98/27.46 tff(36099,plain,
% 40.98/27.46 ((~v19(constB64)) | v18(constB64)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36098, 11134, 36095])).
% 40.98/27.46 tff(36100,plain,
% 40.98/27.46 (~v19(constB64)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36099, 36091])).
% 40.98/27.46 tff(36101,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36102,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36103,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36102, 36101])).
% 40.98/27.46 tff(36104,plain,
% 40.98/27.46 (v13(constB64)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36103, 11149, 36100])).
% 40.98/27.46 tff(36105,plain,
% 40.98/27.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36106,plain,
% 40.98/27.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36107,plain,
% 40.98/27.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36106, 36105])).
% 40.98/27.46 tff(36108,plain,
% 40.98/27.46 ((~v13(constB64)) | v9(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36107, 11163, 8616])).
% 40.98/27.46 tff(36109,plain,
% 40.98/27.46 (v9(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36108, 36104])).
% 40.98/27.46 tff(36110,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v184(constB63))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB63) | (~v9(constB63)) | v184(constB63))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36111,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v184(constB63))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36112,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB63) | (~v9(constB63)) | v184(constB63)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36111, 36110])).
% 40.98/27.46 tff(36113,plain,
% 40.98/27.46 ((~v9(constB63)) | v184(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36112, 11178, 8189])).
% 40.98/27.46 tff(36114,plain,
% 40.98/27.46 (v184(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36113, 36109])).
% 40.98/27.46 tff(36115,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB63) | (~v184(constB63)))) <=> ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB63) | (~v184(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36116,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | (v183(constB63) | (~v184(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36117,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v183(VarCurr) | (~v184(VarCurr)))) | v183(constB63) | (~v184(constB63))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36116, 36115])).
% 40.98/27.46 tff(36118,plain,
% 40.98/27.46 (v183(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36117, 11190, 36114])).
% 40.98/27.46 tff(36119,plain,
% 40.98/27.46 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB63)) | (~v183(constB63)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB63)) | (~v183(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36120,plain,
% 40.98/27.46 (((~v183(constB63)) | (~v181(constB63))) <=> ((~v181(constB63)) | (~v183(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36121,plain,
% 40.98/27.46 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB63)) | (~v181(constB63)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v181(constB63)) | (~v183(constB63))))),
% 40.98/27.46 inference(monotonicity,[status(thm)],[36120])).
% 40.98/27.46 tff(36122,plain,
% 40.98/27.46 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB63)) | (~v181(constB63)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB63)) | (~v183(constB63)))),
% 40.98/27.46 inference(transitivity,[status(thm)],[36121, 36119])).
% 40.98/27.46 tff(36123,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | ((~v183(constB63)) | (~v181(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36124,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v181(VarCurr)))) | (~v181(constB63)) | (~v183(constB63))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36123, 36122])).
% 40.98/27.46 tff(36125,plain,
% 40.98/27.46 (~v181(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36124, 11201, 36118])).
% 40.98/27.46 tff(36126,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB63) | v185(constB63) | (~v178(constB63)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB63) | v185(constB63) | (~v178(constB63)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36127,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB63) | v185(constB63) | (~v178(constB63)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36128,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB63) | v185(constB63) | (~v178(constB63))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36127, 36126])).
% 40.98/27.46 tff(36129,plain,
% 40.98/27.46 (v185(constB63) | (~v178(constB63))),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36128, 11215, 36125])).
% 40.98/27.46 tff(36130,plain,
% 40.98/27.46 (~v178(constB63)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36129, 36087])).
% 40.98/27.46 tff(36131,plain,
% 40.98/27.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB63, constB64)) | v178(constB63) | (~v180(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB63, constB64)) | v178(constB63) | (~v180(constB64)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36132,plain,
% 40.98/27.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB63, constB64)) | v178(constB63) | (~v180(constB64)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36133,plain,
% 40.98/27.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB63, constB64)) | v178(constB63) | (~v180(constB64))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36132, 36131])).
% 40.98/27.46 tff(36134,plain,
% 40.98/27.46 (v178(constB63) | (~v180(constB64))),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36133, 11230, 8616])).
% 40.98/27.46 tff(36135,plain,
% 40.98/27.46 (~v180(constB64)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36134, 36130])).
% 40.98/27.46 tff(36136,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB64) | (~v181(constB64)))) <=> ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB64) | (~v181(constB64)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36137,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB64) | (~v181(constB64)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36138,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB64) | (~v181(constB64))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36137, 36136])).
% 40.98/27.46 tff(36139,plain,
% 40.98/27.46 (~v181(constB64)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36138, 11242, 36135])).
% 40.98/27.46 tff(36140,plain,
% 40.98/27.46 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB64)) | (~v184(constB64)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB64)) | (~v184(constB64)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36141,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB64)) | (~v184(constB64)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36142,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB64)) | (~v184(constB64))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36141, 36140])).
% 40.98/27.46 tff(36143,plain,
% 40.98/27.46 (~v184(constB64)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36142, 11253, 8636])).
% 40.98/27.46 tff(36144,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB64) | (~v187(constB64)))) <=> ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB64) | (~v187(constB64)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36145,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB64) | (~v187(constB64)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36146,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB64) | (~v187(constB64))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36145, 36144])).
% 40.98/27.46 tff(36147,plain,
% 40.98/27.46 (~v187(constB64)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36146, 11264, 36143])).
% 40.98/27.46 tff(36148,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB64) | (~v185(constB64)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB64) | (~v185(constB64)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36149,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB64) | (~v185(constB64)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36150,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB64) | (~v185(constB64))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36149, 36148])).
% 40.98/27.46 tff(36151,plain,
% 40.98/27.46 (~v185(constB64)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36150, 11098, 36147])).
% 40.98/27.46 tff(36152,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB64) | v185(constB64) | (~v178(constB64)))) <=> ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB64) | v185(constB64) | (~v178(constB64)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36153,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB64) | v185(constB64) | (~v178(constB64)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36154,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB64) | v185(constB64) | (~v178(constB64))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36153, 36152])).
% 40.98/27.46 tff(36155,plain,
% 40.98/27.46 (v181(constB64) | (~v178(constB64))),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36154, 11215, 36151])).
% 40.98/27.46 tff(36156,plain,
% 40.98/27.46 (~v178(constB64)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36155, 36139])).
% 40.98/27.46 tff(36157,plain,
% 40.98/27.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB64, constB65)) | v178(constB64) | (~v180(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB64, constB65)) | v178(constB64) | (~v180(constB65)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36158,plain,
% 40.98/27.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB64, constB65)) | v178(constB64) | (~v180(constB65)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36159,plain,
% 40.98/27.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB64, constB65)) | v178(constB64) | (~v180(constB65))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36158, 36157])).
% 40.98/27.46 tff(36160,plain,
% 40.98/27.46 (v178(constB64) | (~v180(constB65))),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36159, 11230, 8678])).
% 40.98/27.46 tff(36161,plain,
% 40.98/27.46 (~v180(constB65)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36160, 36156])).
% 40.98/27.46 tff(36162,plain,
% 40.98/27.46 ($false),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36161, 36029])).
% 40.98/27.46 tff(36163,plain,((~(constB65 = sK0_VarCurr)) | (~v180(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 40.98/27.46 tff(36164,plain,
% 40.98/27.46 (~(constB65 = sK0_VarCurr)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36163, 10998])).
% 40.98/27.46 tff(36165,assumption,(constB89 = sK0_VarCurr), introduced(assumption)).
% 40.98/27.46 tff(36166,plain,
% 40.98/27.46 (v180(constB89) <=> v180(sK0_VarCurr)),
% 40.98/27.46 inference(monotonicity,[status(thm)],[36165])).
% 40.98/27.46 tff(36167,plain,
% 40.98/27.46 (v180(sK0_VarCurr) <=> v180(constB89)),
% 40.98/27.46 inference(symmetry,[status(thm)],[36166])).
% 40.98/27.46 tff(36168,plain,
% 40.98/27.46 (v180(constB89)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[11002, 36167])).
% 40.98/27.46 tff(36169,plain,
% 40.98/27.46 (((~![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)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36170,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB87, bitIndex2) | (~v88(constB87, bitIndex2)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36171,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB87, bitIndex2) | (~v88(constB87, bitIndex2))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36170, 36169])).
% 40.98/27.46 tff(36172,plain,
% 40.98/27.46 (~v88(constB87, bitIndex2)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36171, 22090, 11608])).
% 40.98/27.46 tff(36173,plain,
% 40.98/27.46 (((~![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)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36174,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB87, bitIndex1) | (~v88(constB87, bitIndex1)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36175,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB87, bitIndex1) | (~v88(constB87, bitIndex1))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36174, 36173])).
% 40.98/27.46 tff(36176,plain,
% 40.98/27.46 (~v88(constB87, bitIndex1)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36175, 10784, 11645])).
% 40.98/27.46 tff(36177,plain,
% 40.98/27.46 (((~![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))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36178,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36179,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36178, 36177])).
% 40.98/27.46 tff(36180,plain,
% 40.98/27.46 (v88(constB87, bitIndex0)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36179, 10622, 11679])).
% 40.98/27.46 tff(36181,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36182,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36183,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36182, 36181])).
% 40.98/27.46 tff(36184,plain,
% 40.98/27.46 (v140(constB87)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36183, 26634, 36180, 36176, 36172])).
% 40.98/27.46 tff(36185,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB87) | (~v140(constB87)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB87) | (~v140(constB87)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36186,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | (v170(constB87) | (~v140(constB87)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36187,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v170(VarCurr) | (~v140(VarCurr)))) | v170(constB87) | (~v140(constB87))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36186, 36185])).
% 40.98/27.46 tff(36188,plain,
% 40.98/27.46 (v170(constB87)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36187, 26648, 36184])).
% 40.98/27.46 tff(36189,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB87) | (~v170(constB87)))) <=> ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB87) | (~v170(constB87)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36190,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB87) | (~v170(constB87)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36191,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB87) | (~v170(constB87))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36190, 36189])).
% 40.98/27.46 tff(36192,plain,
% 40.98/27.46 (v167(constB87)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36191, 26659, 36188])).
% 40.98/27.46 tff(36193,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB87) | (~v167(constB87)))) <=> ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB87) | (~v167(constB87)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36194,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB87) | (~v167(constB87)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36195,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB87) | (~v167(constB87))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36194, 36193])).
% 40.98/27.46 tff(36196,plain,
% 40.98/27.46 (v166(constB87)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36195, 22146, 36192])).
% 40.98/27.46 tff(36197,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB87) | (~v166(constB87)))) <=> ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB87) | (~v166(constB87)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36198,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | (v165(constB87) | (~v166(constB87)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36199,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v165(VarCurr) | (~v166(VarCurr)))) | v165(constB87) | (~v166(constB87))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36198, 36197])).
% 40.98/27.46 tff(36200,plain,
% 40.98/27.46 (v165(constB87)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36199, 21181, 36196])).
% 40.98/27.46 tff(36201,plain,
% 40.98/27.46 (((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB87)) | (~v170(constB87)))) <=> ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB87)) | (~v170(constB87)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36202,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | ((~v169(constB87)) | (~v170(constB87)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36203,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v169(VarCurr)) | (~v170(VarCurr)))) | (~v169(constB87)) | (~v170(constB87))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36202, 36201])).
% 40.98/27.46 tff(36204,plain,
% 40.98/27.46 (~v169(constB87)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36203, 26678, 36188])).
% 40.98/27.46 tff(36205,plain,
% 40.98/27.46 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB87)) | (~v165(constB87)) | v169(constB87))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB87)) | (~v165(constB87)) | v169(constB87))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36206,plain,
% 40.98/27.46 (((~v165(constB87)) | v169(constB87) | (~v162(constB87))) <=> ((~v162(constB87)) | (~v165(constB87)) | v169(constB87))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36207,plain,
% 40.98/27.46 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB87)) | v169(constB87) | (~v162(constB87)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB87)) | (~v165(constB87)) | v169(constB87)))),
% 40.98/27.46 inference(monotonicity,[status(thm)],[36206])).
% 40.98/27.46 tff(36208,plain,
% 40.98/27.46 (((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB87)) | v169(constB87) | (~v162(constB87)))) <=> ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB87)) | (~v165(constB87)) | v169(constB87))),
% 40.98/27.46 inference(transitivity,[status(thm)],[36207, 36205])).
% 40.98/27.46 tff(36209,plain,
% 40.98/27.46 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB87)) | v169(constB87) | (~v162(constB87)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36210,plain,
% 40.98/27.46 ((~![VarNext: $i] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB87)) | (~v165(constB87)) | v169(constB87)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36209, 36208])).
% 40.98/27.46 tff(36211,plain,
% 40.98/27.46 ((~v162(constB87)) | (~v165(constB87))),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36210, 11073, 36204])).
% 40.98/27.46 tff(36212,plain,
% 40.98/27.46 (~v162(constB87)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36211, 36200])).
% 40.98/27.46 tff(36213,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB87) | (~v187(constB87)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB87) | (~v187(constB87)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36214,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB87) | (~v187(constB87)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36215,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB87) | (~v187(constB87))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36214, 36213])).
% 40.98/27.46 tff(36216,plain,
% 40.98/27.46 (~v187(constB87)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36215, 11087, 36212])).
% 40.98/27.46 tff(36217,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB87) | (~v185(constB87)))) <=> ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB87) | (~v185(constB87)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36218,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB87) | (~v185(constB87)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36219,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB87) | (~v185(constB87))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36218, 36217])).
% 40.98/27.46 tff(36220,plain,
% 40.98/27.46 (~v185(constB87)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36219, 11098, 36216])).
% 40.98/27.46 tff(36221,assumption,(v18(constB88)), introduced(assumption)).
% 40.98/27.46 tff(36222,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB88))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36223,plain,
% 40.98/27.46 ($false),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36222, 11110, 36221])).
% 40.98/27.46 tff(36224,plain,(~v18(constB88)), inference(lemma,lemma(discharge,[]))).
% 40.98/27.46 tff(36225,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88)))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36226,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36227,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88))),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36226, 36225])).
% 40.98/27.46 tff(36228,plain,
% 40.98/27.46 (v22(constB88)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36227, 11120, 11749])).
% 40.98/27.46 tff(36229,plain,
% 40.98/27.46 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB88)) | (~v22(constB88)) | v18(constB88))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB88)) | (~v22(constB88)) | v18(constB88))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36230,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB88)) | (~v22(constB88)) | v18(constB88))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36231,plain,
% 40.98/27.46 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB88)) | (~v22(constB88)) | v18(constB88)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36230, 36229])).
% 40.98/27.46 tff(36232,plain,
% 40.98/27.46 ((~v19(constB88)) | v18(constB88)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36231, 11134, 36228])).
% 40.98/27.46 tff(36233,plain,
% 40.98/27.46 (~v19(constB88)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36232, 36224])).
% 40.98/27.46 tff(36234,plain,
% 40.98/27.46 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88))),
% 40.98/27.46 inference(rewrite,[status(thm)],[])).
% 40.98/27.46 tff(36235,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))),
% 40.98/27.46 inference(quant_inst,[status(thm)],[])).
% 40.98/27.46 tff(36236,plain,
% 40.98/27.46 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88)),
% 40.98/27.46 inference(modus_ponens,[status(thm)],[36235, 36234])).
% 40.98/27.46 tff(36237,plain,
% 40.98/27.46 (v13(constB88)),
% 40.98/27.46 inference(unit_resolution,[status(thm)],[36236, 11149, 36233])).
% 40.98/27.46 tff(36238,plain,
% 40.98/27.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))) <